LMFDB - Embedded newform 483.2.bf.a.10.30

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(10,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bf (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$32$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.30
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.772442 - 2.23182i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-2.81227 - 2.21159i) q^{4} +(-0.0722748 + 0.00690140i) q^{5} +(-2.33768 + 0.336107i) q^{6} +(-2.49742 - 0.873437i) q^{7} +(-3.13459 + 2.01448i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0404253 + 0.166636i) q^{10} +(-2.84369 + 0.984209i) q^{11} +(-0.677085 + 3.51305i) q^{12} +(0.146486 + 0.498884i) q^{13} +(-3.87847 + 4.89912i) q^{14} +(0.0392524 + 0.0610780i) q^{15} +(0.387721 + 1.59821i) q^{16} +(-2.14126 - 0.857233i) q^{17} +(1.36993 + 1.92380i) q^{18} +(2.45133 - 0.981364i) q^{19} +(0.218519 + 0.140434i) q^{20} +(0.368042 + 2.62003i) q^{21} +7.10685i q^{22} +(1.82378 - 4.43552i) q^{23} +(3.22689 + 1.86305i) q^{24} +(-4.90447 + 0.945259i) q^{25} +(1.22657 + 0.0584289i) q^{26} +(0.989821 + 0.142315i) q^{27} +(5.09173 + 7.97961i) q^{28} +(-0.422103 - 2.93579i) q^{29} +(0.166636 - 0.0404253i) q^{30} +(5.95083 - 0.283473i) q^{31} +(-3.55203 - 0.339178i) q^{32} +(2.17785 + 2.07658i) q^{33} +(-3.56719 + 4.11676i) q^{34} +(0.186528 + 0.0458918i) q^{35} +(3.43278 - 1.00796i) q^{36} +(-0.156240 - 0.111258i) q^{37} +(-0.296723 - 6.22898i) q^{38} +(0.376303 - 0.358804i) q^{39} +(0.212649 - 0.167229i) q^{40} +(-6.38500 - 2.91593i) q^{41} +(6.13173 + 1.20241i) q^{42} +(-0.950097 + 1.47838i) q^{43} +(10.1739 + 3.52121i) q^{44} +(0.0363018 - 0.0628765i) q^{45} +(-8.49054 - 7.49653i) q^{46} +(10.8676 - 6.27443i) q^{47} +(1.24288 - 1.07696i) q^{48} +(5.47422 + 4.36268i) q^{49} +(-1.67876 + 11.6761i) q^{50} +(0.219245 + 2.29604i) q^{51} +(0.691371 - 1.72696i) q^{52} +(-6.14461 - 6.44428i) q^{53} +(1.08220 - 2.09918i) q^{54} +(0.198734 - 0.0907589i) q^{55} +(9.58791 - 2.29313i) q^{56} +(-1.99553 - 1.72914i) q^{57} +(-6.87822 - 1.32567i) q^{58} +(11.5568 + 2.80365i) q^{59} +(0.0246912 - 0.258578i) q^{60} +(-7.81975 - 4.03136i) q^{61} +(3.96401 - 13.5002i) q^{62} +(2.16013 - 1.52770i) q^{63} +(-4.86708 + 10.6574i) q^{64} +(-0.0140302 - 0.0350458i) q^{65} +(6.31682 - 3.25655i) q^{66} +(0.126200 + 0.654786i) q^{67} +(4.12596 + 7.14637i) q^{68} +(-4.77815 + 0.411437i) q^{69} +(0.246505 - 0.380850i) q^{70} +(-6.65067 - 7.67529i) q^{71} +(0.177295 - 3.72187i) q^{72} +(3.53569 - 4.49600i) q^{73} +(-0.368995 + 0.262760i) q^{74} +(3.08754 + 3.92612i) q^{75} +(-9.06416 - 2.66148i) q^{76} +(7.96152 + 0.0257966i) q^{77} +(-0.510115 - 1.11700i) q^{78} +(-2.46376 + 2.58392i) q^{79} +(-0.0390523 - 0.112834i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-11.4399 + 11.9978i) q^{82} +(-3.21651 - 7.04318i) q^{83} +(4.75940 - 8.18217i) q^{84} +(0.160675 + 0.0471786i) q^{85} +(2.56559 + 3.26241i) q^{86} +(-2.41602 + 1.72044i) q^{87} +(6.93112 - 8.81364i) q^{88} +(0.152490 - 3.20116i) q^{89} +(-0.112288 - 0.129588i) q^{90} +(0.0699079 - 1.37387i) q^{91} +(-14.9385 + 8.44042i) q^{92} +(-2.97879 - 5.15941i) q^{93} +(-5.60881 - 29.1013i) q^{94} +(-0.170396 + 0.0878455i) q^{95} +(1.32616 + 3.31259i) q^{96} +(-2.85016 + 6.24099i) q^{97} +(13.9652 - 8.84757i) q^{98} +(0.847787 - 2.88730i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.772442	−	2.23182i	0.546199	−	1.57814i	−0.246897	−	0.969042i	$-0.579411\pi$
$2$	0.772442	−	2.23182i	0.546199	−	1.57814i	0.793096	−	0.609096i	$-0.208468\pi$
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$4$	−2.81227	−	2.21159i	−1.40613	−	1.10580i
$5$	−0.0722748	+	0.00690140i	−0.0323223	+	0.00308640i	−0.111205	−	0.993798i	$-0.535471\pi$
$5$	−0.0722748	+	0.00690140i	−0.0323223	+	0.00308640i	0.0788824	+	0.996884i	$0.474865\pi$
$6$	−2.33768	+	0.336107i	−0.954353	+	0.137215i
$7$	−2.49742	−	0.873437i	−0.943936	−	0.330128i
$7$	−2.49742	−	0.873437i	−0.943936	−	0.330128i
$8$	−3.13459	+	2.01448i	−1.10824	+	0.712225i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.0404253	+	0.166636i	−0.0127836	+	0.0526948i
$11$	−2.84369	+	0.984209i	−0.857404	+	0.296750i	−0.720178	−	0.693789i	$-0.755940\pi$
$11$	−2.84369	+	0.984209i	−0.857404	+	0.296750i	−0.137226	+	0.990540i	$0.543819\pi$
$12$	−0.677085	+	3.51305i	−0.195458	+	1.01413i
$13$	0.146486	+	0.498884i	0.0406278	+	0.138366i	0.977309	−	0.211816i	$-0.0679379\pi$
$13$	0.146486	+	0.498884i	0.0406278	+	0.138366i	−0.936682	+	0.350182i	$0.886120\pi$
$14$	−3.87847	+	4.89912i	−1.03656	+	1.30935i
$15$	0.0392524	+	0.0610780i	0.0101349	+	0.0157703i
$16$	0.387721	+	1.59821i	0.0969302	+	0.399552i
$17$	−2.14126	−	0.857233i	−0.519333	−	0.207909i	0.0971619	−	0.995269i	$-0.469024\pi$
$17$	−2.14126	−	0.857233i	−0.519333	−	0.207909i	−0.616495	+	0.787359i	$0.711448\pi$
$18$	1.36993	+	1.92380i	0.322896	+	0.453443i
$19$	2.45133	−	0.981364i	0.562373	−	0.225140i	−0.0730180	−	0.997331i	$-0.523263\pi$
$19$	2.45133	−	0.981364i	0.562373	−	0.225140i	0.635391	+	0.772190i	$0.280839\pi$
$20$	0.218519	+	0.140434i	0.0488623	+	0.0314019i
$21$	0.368042	+	2.62003i	0.0803134	+	0.571737i
$22$			7.10685i			1.51519i
$23$	1.82378	−	4.43552i	0.380284	−	0.924870i
$23$	1.82378	−	4.43552i	0.380284	−	0.924870i
$24$	3.22689	+	1.86305i	0.658686	+	0.380293i
$25$	−4.90447	+	0.945259i	−0.980893	+	0.189052i
$26$	1.22657	+	0.0584289i	0.240551	+	0.0114589i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	5.09173	+	7.97961i	0.962246	+	1.50800i
$29$	−0.422103	−	2.93579i	−0.0783826	−	0.545163i	−0.990740	−	0.135769i	$-0.956649\pi$
$29$	−0.422103	−	2.93579i	−0.0783826	−	0.545163i	0.912358	−	0.409394i	$-0.134260\pi$
$30$	0.166636	−	0.0404253i	0.0304233	−	0.00738062i
$31$	5.95083	−	0.283473i	1.06880	−	0.0509132i	0.494201	−	0.869348i	$-0.335461\pi$
$31$	5.95083	−	0.283473i	1.06880	−	0.0509132i	0.574600	+	0.818435i	$0.305158\pi$
$32$	−3.55203	−	0.339178i	−0.627917	−	0.0599588i
$33$	2.17785	+	2.07658i	0.379115	+	0.361486i
$34$	−3.56719	+	4.11676i	−0.611769	+	0.706019i
$35$	0.186528	+	0.0458918i	0.0315291	+	0.00775712i
$36$	3.43278	−	1.00796i	0.572131	−	0.167993i
$37$	−0.156240	−	0.111258i	−0.0256857	−	0.0182907i	0.567142	−	0.823620i	$-0.308049\pi$
$37$	−0.156240	−	0.111258i	−0.0256857	−	0.0182907i	−0.592828	+	0.805329i	$0.701988\pi$
$38$	−0.296723	−	6.22898i	−0.0481348	−	1.01047i
$39$	0.376303	−	0.358804i	0.0602566	−	0.0574546i
$40$	0.212649	−	0.167229i	0.0336228	−	0.0264412i
$41$	−6.38500	−	2.91593i	−0.997169	−	0.455392i	−0.151131	−	0.988514i	$-0.548291\pi$
$41$	−6.38500	−	2.91593i	−0.997169	−	0.455392i	−0.846038	+	0.533122i	$0.821019\pi$
$42$	6.13173	+	1.20241i	0.946147	+	0.185536i
$43$	−0.950097	+	1.47838i	−0.144888	+	0.225451i	−0.906111	−	0.423040i	$-0.860963\pi$
$43$	−0.950097	+	1.47838i	−0.144888	+	0.225451i	0.761223	+	0.648491i	$0.224599\pi$
$44$	10.1739	+	3.52121i	1.53377	+	0.530843i
$45$	0.0363018	−	0.0628765i	0.00541155	−	0.00937307i
$46$	−8.49054	−	7.49653i	−1.25186	−	1.10530i
$47$	10.8676	−	6.27443i	1.58521	−	0.915220i	0.591127	−	0.806579i	$-0.298683\pi$
$47$	10.8676	−	6.27443i	1.58521	−	0.915220i	0.994081	−	0.108642i	$-0.0346501\pi$
$48$	1.24288	−	1.07696i	0.179394	−	0.155446i
$49$	5.47422	+	4.36268i	0.782031	+	0.623240i
$50$	−1.67876	+	11.6761i	−0.237413	+	1.65125i
$51$	0.219245	+	2.29604i	0.0307004	+	0.321510i
$52$	0.691371	−	1.72696i	0.0958760	−	0.239487i
$53$	−6.14461	−	6.44428i	−0.844027	−	0.885190i	0.150613	−	0.988593i	$-0.451875\pi$
$53$	−6.14461	−	6.44428i	−0.844027	−	0.885190i	−0.994640	+	0.103403i	$0.967027\pi$
$54$	1.08220	−	2.09918i	0.147269	−	0.285662i
$55$	0.198734	−	0.0907589i	0.0267973	−	0.0122379i
$56$	9.58791	−	2.29313i	1.28124	−	0.306433i
$57$	−1.99553	−	1.72914i	−0.264315	−	0.229030i
$58$	−6.87822	−	1.32567i	−0.903155	−	0.174069i
$59$	11.5568	+	2.80365i	1.50457	+	0.365004i	0.901533	−	0.432710i	$-0.142443\pi$
$59$	11.5568	+	2.80365i	1.50457	+	0.365004i	0.603036	+	0.797714i	$0.293958\pi$
$60$	0.0246912	−	0.258578i	0.00318762	−	0.0333823i
$61$	−7.81975	−	4.03136i	−1.00122	−	0.516163i	−0.121972	−	0.992534i	$-0.538922\pi$
$61$	−7.81975	−	4.03136i	−1.00122	−	0.516163i	−0.879245	+	0.476370i	$0.841952\pi$
$62$	3.96401	−	13.5002i	0.503429	−	1.71452i
$63$	2.16013	−	1.52770i	0.272150	−	0.192472i
$64$	−4.86708	+	10.6574i	−0.608385	+	1.33218i
$65$	−0.0140302	−	0.0350458i	−0.00174024	−	0.00434690i
$66$	6.31682	−	3.25655i	0.777547	−	0.400853i
$67$	0.126200	+	0.654786i	0.0154178	+	0.0799949i	0.988823	−	0.149097i	$-0.0476366\pi$
$67$	0.126200	+	0.654786i	0.0154178	+	0.0799949i	−0.973405	+	0.229092i	$0.926424\pi$
$68$	4.12596	+	7.14637i	0.500346	+	0.866624i
$69$	−4.77815	+	0.411437i	−0.575222	+	0.0495311i
$70$	0.246505	−	0.380850i	0.0294629	−	0.0455203i
$71$	−6.65067	−	7.67529i	−0.789290	−	0.910889i	0.208453	−	0.978032i	$-0.433157\pi$
$71$	−6.65067	−	7.67529i	−0.789290	−	0.910889i	−0.997743	+	0.0671432i	$0.978612\pi$
$72$	0.177295	−	3.72187i	0.0208944	−	0.438627i
$73$	3.53569	−	4.49600i	0.413821	−	0.526217i	−0.533801	−	0.845610i	$-0.679237\pi$
$73$	3.53569	−	4.49600i	0.413821	−	0.526217i	0.947622	+	0.319394i	$0.103479\pi$
$74$	−0.368995	+	0.262760i	−0.0428948	+	0.0305452i
$75$	3.08754	+	3.92612i	0.356518	+	0.453350i
$76$	−9.06416	−	2.66148i	−1.03973	−	0.305293i
$77$	7.96152	+	0.0257966i	0.907300	+	0.00293980i
$78$	−0.510115	−	1.11700i	−0.0577592	−	0.126475i
$79$	−2.46376	+	2.58392i	−0.277195	+	0.290713i	−0.847584	−	0.530661i	$-0.821944\pi$
$79$	−2.46376	+	2.58392i	−0.277195	+	0.290713i	0.570390	+	0.821374i	$0.306792\pi$
$80$	−0.0390523	−	0.112834i	−0.00436618	−	0.0126153i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−11.4399	+	11.9978i	−1.26332	+	1.32494i
$83$	−3.21651	−	7.04318i	−0.353058	−	0.773090i	−0.999945	−	0.0105035i	$-0.996657\pi$
$83$	−3.21651	−	7.04318i	−0.353058	−	0.773090i	0.646887	−	0.762586i	$-0.276071\pi$
$84$	4.75940	−	8.18217i	0.519293	−	0.892748i
$85$	0.160675	+	0.0471786i	0.0174277	+	0.00511723i
$86$	2.56559	+	3.26241i	0.276655	+	0.351795i
$87$	−2.41602	+	1.72044i	−0.259024	+	0.184450i
$88$	6.93112	−	8.81364i	0.738860	−	0.939537i
$89$	0.152490	−	3.20116i	0.0161639	−	0.339322i	−0.976271	−	0.216552i	$-0.930519\pi$
$89$	0.152490	−	3.20116i	0.0161639	−	0.339322i	0.992435	−	0.122771i	$-0.0391779\pi$
$90$	−0.112288	−	0.129588i	−0.0118362	−	0.0136597i
$91$	0.0699079	−	1.37387i	0.00732833	−	0.144021i
$92$	−14.9385	+	8.44042i	−1.55745	+	0.879975i
$93$	−2.97879	−	5.15941i	−0.308886	−	0.535006i
$94$	−5.60881	−	29.1013i	−0.578505	−	3.00157i
$95$	−0.170396	+	0.0878455i	−0.0174823	+	0.00901275i
$96$	1.32616	+	3.31259i	0.135351	+	0.338090i
$97$	−2.85016	+	6.24099i	−0.289390	+	0.633677i	−0.997364	−	0.0725625i	$-0.976882\pi$
$97$	−2.85016	+	6.24099i	−0.289390	+	0.633677i	0.707974	+	0.706239i	$0.249610\pi$
$98$	13.9652	−	8.84757i	1.41070	−	0.893740i
$99$	0.847787	−	2.88730i	0.0852058	−	0.290184i
$100$	15.8832	+	8.18836i	1.58832	+	0.818836i
$101$	−0.00845065	+	0.0884992i	−0.000840871	+	0.00880600i	−0.995883	−	0.0906521i	$-0.971105\pi$
$101$	−0.00845065	+	0.0884992i	−0.000840871	+	0.00880600i	0.995042	+	0.0994581i	$0.0317109\pi$
$102$	5.29371	+	1.28424i	0.524155	+	0.127159i
$103$	9.53646	+	1.83800i	0.939655	+	0.181104i	0.636009	−	0.771681i	$-0.280584\pi$
$103$	9.53646	+	1.83800i	0.939655	+	0.181104i	0.303646	+	0.952785i	$0.401796\pi$
$104$	−1.46416	−	1.26871i	−0.143573	−	0.124407i
$105$	−0.0446820	−	0.186822i	−0.00436052	−	0.0182319i
$106$	−19.1289	+	8.73585i	−1.85796	+	0.848501i
$107$	4.81001	−	9.33013i	0.465002	−	0.901977i	−0.533422	−	0.845849i	$-0.679094\pi$
$107$	4.81001	−	9.33013i	0.465002	−	0.901977i	0.998424	−	0.0561281i	$-0.0178755\pi$
$108$	−2.46890	−	2.58931i	−0.237570	−	0.249156i
$109$	−3.50514	+	8.75542i	−0.335732	+	0.838617i	0.660414	+	0.750902i	$0.270381\pi$
$109$	−3.50514	+	8.75542i	−0.335732	+	0.838617i	−0.996146	+	0.0877153i	$0.972043\pi$
$110$	−0.0490473	−	0.513646i	−0.00467647	−	0.0489742i
$111$	−0.0272968	+	0.189853i	−0.00259089	+	0.0180201i
$112$	0.427631	−	4.33004i	0.0404074	−	0.409151i
$113$	0.0537645	−	0.0465872i	0.00505773	−	0.00438255i	−0.652328	−	0.757937i	$-0.726208\pi$
$113$	0.0537645	−	0.0465872i	0.00505773	−	0.00438255i	0.657386	+	0.753554i	$0.271662\pi$
$114$	−5.40057	+	3.11802i	−0.505810	+	0.292030i
$115$	−0.101202	+	0.333163i	−0.00943710	+	0.0310676i
$116$	−5.30571	+	9.18975i	−0.492622	+	0.853247i
$117$	−0.491349	−	0.170058i	−0.0454253	−	0.0157218i
$118$	15.1842	−	23.6271i	1.39782	−	2.17505i
$119$	4.59890	+	4.01113i	0.421580	+	0.367700i
$120$	−0.246080	−	0.112381i	−0.0224640	−	0.0102590i
$121$	−1.52870	+	1.20218i	−0.138973	+	0.109289i
$122$	−15.0376	+	14.3383i	−1.36144	+	1.29813i
$123$	0.333993	+	7.01137i	0.0301151	+	0.632194i
$124$	−17.3622	−	12.3636i	−1.55918	−	1.11028i
$125$	0.696259	−	0.204440i	0.0622753	−	0.0182857i
$126$	−1.74097	−	6.00108i	−0.155098	−	0.534619i
$127$	−6.81893	+	7.86947i	−0.605083	+	0.698303i	−0.972803	−	0.231634i	$-0.925593\pi$
$127$	−6.81893	+	7.86947i	−0.605083	+	0.698303i	0.367720	+	0.929936i	$0.380138\pi$
$128$	14.8611	+	14.1700i	1.31355	+	1.25247i
$129$	1.74940	+	0.167047i	0.154026	+	0.0147077i
$130$	−0.0890536	+	0.00424215i	−0.00781052	+	0.000372061i
$131$	2.09546	−	0.508353i	0.183081	−	0.0444150i	−0.143170	−	0.989698i	$-0.545730\pi$
$131$	2.09546	−	0.508353i	0.183081	−	0.0444150i	0.326251	+	0.945283i	$0.394214\pi$
$132$	−1.53216	−	10.6564i	−0.133357	−	0.927521i
$133$	−6.97916	+	0.309797i	−0.605170	+	0.0268628i
$134$	1.55885	+	0.224129i	0.134664	+	0.0193618i
$135$	−0.0725213	−	0.00345461i	−0.00624164	−	0.000297326i
$136$	8.43886	−	1.62646i	0.723626	−	0.139467i
$137$	−0.349443	−	0.201751i	−0.0298549	−	0.0172368i	0.484998	−	0.874515i	$-0.338820\pi$
$137$	−0.349443	−	0.201751i	−0.0298549	−	0.0172368i	−0.514853	+	0.857278i	$0.672154\pi$
$138$	−2.77259	+	10.9818i	−0.236018	+	0.934833i
$139$			1.13499i			0.0962684i	0.998841	+	0.0481342i	$0.0153275\pi$
$139$			1.13499i			0.0962684i	−0.998841	+	0.0481342i	$0.984672\pi$
$140$	−0.423074	−	0.541584i	−0.0357563	−	0.0457722i
$141$	−10.5568	−	6.78443i	−0.889041	−	0.571352i
$142$	−22.2672	+	8.91442i	−1.86862	+	0.748082i
$143$	−0.907566	−	1.27450i	−0.0758945	−	0.106579i
$144$	−1.52676	−	0.611223i	−0.127230	−	0.0509352i
$145$	0.0507685	+	0.209271i	0.00421610	+	0.0173790i
$146$	−7.30316	−	11.3639i	−0.604414	−	0.940486i
$147$	1.36927	−	6.86477i	0.112936	−	0.566197i
$148$	0.193331	+	0.658426i	0.0158917	+	0.0541223i
$149$	−3.20787	+	16.6440i	−0.262799	+	1.36353i	0.575269	+	0.817964i	$0.304897\pi$
$149$	−3.20787	+	16.6440i	−0.262799	+	1.36353i	−0.838068	+	0.545566i	$0.816315\pi$
$150$	11.1474	−	3.85814i	0.910178	−	0.315016i
$151$	2.14643	−	8.84771i	0.174674	−	0.720016i	−0.815332	−	0.578993i	$-0.803446\pi$
$151$	2.14643	−	8.84771i	0.174674	−	0.720016i	0.990006	−	0.141023i	$-0.0450391\pi$
$152$	−5.70697	+	8.01432i	−0.462897	+	0.650047i
$153$	1.94034	−	1.24698i	0.156867	−	0.100812i
$154$	6.20739	−	17.7488i	0.500206	−	1.43024i
$155$	−0.428138	+	0.0615570i	−0.0343889	+	0.00494438i
$156$	−1.85179	+	0.176825i	−0.148262	+	0.0141573i
$157$	10.0389	+	7.89465i	0.801189	+	0.630062i	0.932455	−	0.361285i	$-0.117662\pi$
$157$	10.0389	+	7.89465i	0.801189	+	0.630062i	−0.131266	+	0.991347i	$0.541904\pi$
$158$	3.86374	+	7.49460i	0.307382	+	0.596239i
$159$	−2.91228	+	8.41449i	−0.230959	+	0.667312i
$160$	0.259063			0.0204807
$161$	−8.42888	+	9.48441i	−0.664289	+	0.747476i
$162$	−2.36172			−0.185554
$163$	7.71731	−	22.2977i	0.604467	−	1.74649i	−0.0589704	−	0.998260i	$-0.518782\pi$
$163$	7.71731	−	22.2977i	0.604467	−	1.74649i	0.663437	−	0.748232i	$-0.269097\pi$
$164$	11.5075	+	22.3214i	0.898582	+	1.74301i
$165$	−0.171735	−	0.135054i	−0.0133696	−	0.0105139i
$166$	−18.2037	+	1.73824i	−1.41288	+	0.134914i
$167$	4.25448	−	0.611702i	0.329221	−	0.0473349i	0.0242776	−	0.999705i	$-0.492271\pi$
$167$	4.25448	−	0.611702i	0.329221	−	0.0473349i	0.304944	+	0.952370i	$0.401362\pi$
$168$	−6.43165	−	7.47130i	−0.496213	−	0.576423i
$169$	10.7089	−	6.88217i	0.823759	−	0.529398i
$170$	0.229407	−	0.322157i	0.0175947	−	0.0247083i
$171$	−0.622515	+	2.56604i	−0.0476049	+	0.196230i
$172$	5.94150	−	2.05637i	0.453035	−	0.156797i
$173$	4.13264	−	21.4422i	0.314199	−	1.63022i	−0.390424	−	0.920635i	$-0.627672\pi$
$173$	4.13264	−	21.4422i	0.314199	−	1.63022i	0.704623	−	0.709582i	$-0.251116\pi$
$174$	1.97348	+	6.72107i	0.149609	+	0.509523i
$175$	13.0741	+	1.92304i	0.988312	+	0.145368i
$176$	−2.67553	−	4.16320i	−0.201675	−	0.313813i
$177$	−2.80365	−	11.5568i	−0.210735	−	0.868663i
$178$	−7.02664	−	2.81304i	−0.526669	−	0.210846i
$179$	0.815723	+	1.14552i	0.0609700	+	0.0856204i	0.843935	−	0.536445i	$-0.180233\pi$
$179$	0.815723	+	1.14552i	0.0609700	+	0.0856204i	−0.782965	+	0.622065i	$0.786294\pi$
$180$	−0.241147	+	0.0965408i	−0.0179741	+	0.00719573i
$181$	19.6215	+	12.6100i	1.45845	+	0.937291i	0.998789	+	0.0491984i	$0.0156667\pi$
$181$	19.6215	+	12.6100i	1.45845	+	0.937291i	0.459664	+	0.888093i	$0.347970\pi$
$182$	−3.01224	−	1.21726i	−0.223282	−	0.0902291i
$183$			8.79775i			0.650349i
$184$	3.21847	+	17.5775i	0.237269	+	1.29583i
$185$	0.0120601	+	0.00696288i	0.000886673	+	0.000511921i
$186$	−13.8158	+	2.66279i	−1.01303	+	0.195245i
$187$	6.93278	+	0.330249i	0.506975	+	0.0241502i
$188$	−44.4392	−	6.38939i	−3.24106	−	0.465994i
$189$	−2.34770	−	1.21997i	−0.170770	−	0.0887395i
$190$	0.0644343	+	0.448150i	0.00467456	+	0.0325122i
$191$	−3.89349	+	0.944551i	−0.281723	+	0.0683453i	−0.374131	−	0.927376i	$-0.622059\pi$
$191$	−3.89349	+	0.944551i	−0.281723	+	0.0683453i	0.0924076	+	0.995721i	$0.470544\pi$
$192$	11.7029	−	0.557478i	0.844585	−	0.0402325i
$193$	21.6351	+	2.06591i	1.55733	+	0.148707i	0.837887	−	0.545843i	$-0.183791\pi$
$193$	21.6351	+	2.06591i	1.55733	+	0.148707i	0.719444	+	0.694550i	$0.244397\pi$
$194$	11.7272	+	11.1819i	0.841964	+	0.802811i
$195$	−0.0247209	+	0.0285295i	−0.00177030	+	0.00204304i
$196$	−5.74649	−	24.3757i	−0.410464	−	1.74112i
$197$	14.4082	−	4.23062i	1.02654	−	0.301419i	0.275237	−	0.961377i	$-0.411244\pi$
$197$	14.4082	−	4.23062i	1.02654	−	0.301419i	0.751303	+	0.659957i	$0.229426\pi$
$198$	−5.78907	−	4.12238i	−0.411411	−	0.292965i
$199$	−0.240831	−	5.05567i	−0.0170721	−	0.358387i	−0.991199	−	0.132383i	$-0.957737\pi$
$199$	−0.240831	−	5.05567i	−0.0170721	−	0.358387i	0.974126	−	0.226003i	$-0.0725661\pi$
$200$	13.4693	−	12.8429i	0.952422	−	0.908133i
$201$	0.524169	−	0.412211i	0.0369721	−	0.0290751i
$202$	0.190987	+	0.0872209i	0.0134378	+	0.00613684i
$203$	−1.51006	+	7.70059i	−0.105986	+	0.540475i
$204$	4.46132	−	6.94195i	0.312355	−	0.486034i
$205$	0.481598	+	0.166683i	0.0336363	+	0.0116416i
$206$	11.4685	−	19.8639i	0.799045	−	1.38399i
$207$	2.55517	+	4.05846i	0.177597	+	0.282082i
$208$	−0.740525	+	0.427542i	−0.0513462	+	0.0296447i
$209$	−6.00494	+	5.20331i	−0.415371	+	0.359921i
$210$	−0.451468	−	0.0445866i	−0.0311542	−	0.00307677i
$211$	0.479084	−	3.33210i	0.0329815	−	0.229391i	−0.966663	−	0.256052i	$-0.917578\pi$
$211$	0.479084	−	3.33210i	0.0329815	−	0.229391i	0.999645	+	0.0266604i	$0.00848728\pi$
$212$	3.02817	+	31.7124i	0.207975	+	2.17802i
$213$	−3.77455	+	9.42838i	−0.258628	+	0.646022i
$214$	−17.1077	−	17.9421i	−1.16946	−	1.22650i
$215$	0.0584652	−	0.113407i	0.00398729	−	0.00773427i
$216$	−3.38937	+	1.54787i	−0.230618	+	0.105320i
$217$	−15.1093	−	4.48972i	−1.02569	−	0.304782i
$218$	16.8330	+	14.5859i	1.14008	+	0.987882i
$219$	−5.61635	−	1.08246i	−0.379518	−	0.0731460i
$220$	−0.759616	−	0.184281i	−0.0512133	−	0.0124242i
$221$	0.113996	−	1.19382i	0.00766817	−	0.0803047i
$222$	0.402634	+	0.207572i	0.0270230	+	0.0139313i
$223$	1.99976	−	6.81057i	0.133914	−	0.456069i	−0.865045	−	0.501695i	$-0.832710\pi$
$223$	1.99976	−	6.81057i	0.133914	−	0.456069i	0.998959	+	0.0456257i	$0.0145282\pi$
$224$	8.57467	+	3.94955i	0.572919	+	0.263890i
$225$	2.07489	−	4.54337i	0.138326	−	0.302891i
$226$	−0.0624444	−	0.155979i	−0.00415374	−	0.0103755i
$227$	−8.24785	+	4.25206i	−0.547429	+	0.282219i	−0.709673	−	0.704531i	$-0.751157\pi$
$227$	−8.24785	+	4.25206i	−0.547429	+	0.282219i	0.162244	+	0.986751i	$0.448127\pi$
$228$	1.78782	+	9.27611i	0.118402	+	0.614325i
$229$	10.3677	+	17.9575i	0.685120	+	1.18666i	0.973399	+	0.229116i	$0.0735834\pi$
$229$	10.3677	+	17.9575i	0.685120	+	1.18666i	−0.288280	+	0.957546i	$0.593083\pi$
$230$	0.665388	+	0.483213i	0.0438744	+	0.0318621i
$231$	−3.62525	−	7.08831i	−0.238524	−	0.466376i
$232$	7.23721	+	8.35219i	0.475146	+	0.548348i
$233$	0.111808	−	2.34713i	0.00732476	−	0.153766i	−0.992242	−	0.124324i	$-0.960324\pi$
$233$	0.111808	−	2.34713i	0.00732476	−	0.153766i	0.999566	−	0.0294421i	$-0.00937307\pi$
$234$	−0.759078	+	0.965246i	−0.0496225	+	0.0631001i
$235$	−0.742154	+	0.528485i	−0.0484128	+	0.0344746i
$236$	−26.3003	−	33.4436i	−1.71200	−	2.17699i
$237$	3.42564	+	1.00586i	0.222519	+	0.0653375i
$238$	12.5045	−	7.16556i	0.810547	−	0.464474i
$239$	8.06963	+	17.6700i	0.521981	+	1.14298i	0.968684	+	0.248296i	$0.0798707\pi$
$239$	8.06963	+	17.6700i	0.521981	+	1.14298i	−0.446703	+	0.894682i	$0.647402\pi$
$240$	−0.0823963	+	0.0864147i	−0.00531866	+	0.00557805i
$241$	6.45320	+	18.6453i	0.415687	+	1.20105i	0.937499	+	0.347988i	$0.113135\pi$
$241$	6.45320	+	18.6453i	0.415687	+	1.20105i	−0.521812	+	0.853061i	$0.674744\pi$
$242$	1.50223	+	4.34041i	0.0965670	+	0.279012i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	13.0755	+	28.6314i	0.837073	+	1.83294i
$245$	−0.425756	−	0.277532i	−0.0272006	−	0.0177309i
$246$	15.9061	+	4.67046i	1.01414	+	0.297778i
$247$	0.848672	+	1.07917i	0.0539997	+	0.0686662i
$248$	−18.0824	+	12.8764i	−1.14823	+	0.817651i
$249$	−4.78634	+	6.08632i	−0.303322	+	0.385705i
$250$	0.0815452	−	1.71184i	0.00515737	−	0.108267i
$251$	1.72466	+	1.99036i	0.108859	+	0.125630i	0.807564	−	0.589780i	$-0.200785\pi$
$251$	1.72466	+	1.99036i	0.108859	+	0.125630i	−0.698705	+	0.715410i	$0.746240\pi$
$252$	−9.45349	−	0.481030i	−0.595514	−	0.0303021i
$253$	−0.820765	+	14.4082i	−0.0516011	+	0.905836i
$254$	12.2960	+	21.2974i	0.771522	+	1.33632i
$255$	−0.0316918	−	0.164433i	−0.00198462	−	0.0102972i
$256$	22.2768	−	11.4845i	1.39230	−	0.717782i
$257$	−4.97736	−	12.4328i	−0.310479	−	0.775539i	−0.998745	−	0.0500810i	$-0.984052\pi$
$257$	−4.97736	−	12.4328i	−0.310479	−	0.775539i	0.688266	−	0.725458i	$-0.258372\pi$
$258$	1.72413	−	3.77531i	0.107339	−	0.235041i
$259$	0.293020	+	0.414324i	0.0182074	+	0.0257448i
$260$	−0.0380502	+	0.129587i	−0.00235978	+	0.00803666i
$261$	2.63627	+	1.35909i	0.163181	+	0.0841257i
$262$	0.484066	−	5.06937i	0.0299057	−	0.313187i
$263$	28.4195	+	6.89449i	1.75242	+	0.425132i	0.978180	−	0.207760i	$-0.0666173\pi$
$263$	28.4195	+	6.89449i	1.75242	+	0.425132i	0.774240	+	0.632892i	$0.218132\pi$
$264$	−11.0099	−	2.12198i	−0.677612	−	0.130599i
$265$	0.488575	+	0.423352i	0.0300129	+	0.0260063i
$266$	−4.69958	+	15.8156i	−0.288150	+	0.969714i
$267$	−2.91518	+	1.33132i	−0.178406	+	0.0814753i
$268$	1.09321	−	2.12054i	0.0667786	−	0.129532i
$269$	−14.9156	−	15.6430i	−0.909419	−	0.953771i	0.0896902	−	0.995970i	$-0.471412\pi$
$269$	−14.9156	−	15.6430i	−0.909419	−	0.953771i	−0.999109	+	0.0421985i	$0.986564\pi$
$270$	−0.0637286	+	0.159186i	−0.00387840	+	0.00968777i
$271$	0.164308	+	1.72071i	0.00998097	+	0.104525i	0.999090	−	0.0426622i	$-0.0135839\pi$
$271$	0.164308	+	1.72071i	0.00998097	+	0.104525i	−0.989109	+	0.147188i	$0.952978\pi$
$272$	0.539823	−	3.75455i	0.0327316	−	0.227653i
$273$	−1.25318	+	0.567407i	−0.0758458	+	0.0343410i
$274$	−0.720198	+	0.624055i	−0.0435087	+	0.0377005i
$275$	13.0164	−	7.51504i	0.784921	−	0.453174i
$276$	14.3474	+	9.41024i	0.863610	+	0.566430i
$277$	−9.48858	+	16.4347i	−0.570114	+	0.987466i	0.426440	+	0.904516i	$0.359767\pi$
$277$	−9.48858	+	16.4347i	−0.570114	+	0.987466i	−0.996554	+	0.0829499i	$0.973566\pi$
$278$	2.53309	+	0.876712i	0.151925	+	0.0525817i
$279$	−3.22091	+	5.01183i	−0.192831	+	0.300051i
$280$	−0.677138	+	0.231906i	−0.0404667	+	0.0138590i
$281$	−22.4058	−	10.2324i	−1.33662	−	0.610412i	−0.386494	−	0.922292i	$-0.626314\pi$
$281$	−22.4058	−	10.2324i	−1.33662	−	0.610412i	−0.950122	+	0.311880i	$0.899041\pi$
$282$	−23.2962	+	18.3203i	−1.38727	+	1.09096i
$283$	−5.70139	+	5.43626i	−0.338912	+	0.323152i	−0.840353	−	0.542040i	$-0.817652\pi$
$283$	−5.70139	+	5.43626i	−0.338912	+	0.323152i	0.501440	+	0.865192i	$0.332804\pi$
$284$	1.72887	+	36.2935i	0.102590	+	2.15362i
$285$	0.156160	+	0.111201i	0.00925014	+	0.00658699i
$286$	−3.54550	+	1.04105i	−0.209650	+	0.0615587i
$287$	13.3991	+	12.8592i	0.790926	+	0.759055i
$288$	2.33667	−	2.69666i	0.137689	−	0.158902i
$289$	−8.45332	−	8.06022i	−0.497254	−	0.474131i
$290$	0.506271	+	0.0483430i	0.0297293	+	0.00283880i
$291$	6.85323	−	0.326460i	0.401744	−	0.0191374i
$292$	−19.8866	+	4.82444i	−1.16378	+	0.282329i
$293$	−0.671593	−	4.67103i	−0.0392349	−	0.272885i	0.960755	−	0.277399i	$-0.0894722\pi$
$293$	−0.671593	−	4.67103i	−0.0392349	−	0.272885i	−0.999990	+	0.00451398i	$0.998563\pi$
$294$	−14.2633	−	8.35861i	−0.831851	−	0.487484i
$295$	−0.854615	−	0.122875i	−0.0497576	−	0.00715407i
$296$	0.713875	+	0.0340061i	0.0414932	+	0.00197656i
$297$	−2.95481	+	0.569493i	−0.171455	+	0.0330453i
$298$	34.6686	+	20.0159i	2.00830	+	1.15949i
$299$	2.47997	+	0.260113i	0.143420	+	0.0150427i
$300$		−	17.8697i		−	1.03171i
$301$	3.66406	−	2.86229i	0.211193	−	0.164979i
$302$	−18.0885	−	11.6248i	−1.04088	−	0.668932i
$303$	0.0825335	−	0.0330414i	0.00474143	−	0.00189818i
$304$	2.51885	+	3.53724i	0.144466	+	0.202874i
$305$	0.592993	+	0.237399i	0.0339547	+	0.0135934i
$306$	−1.28424	−	5.29371i	−0.0734151	−	0.302621i
$307$	12.6409	+	19.6697i	0.721455	+	1.12261i	0.987343	+	0.158602i	$0.0506988\pi$
$307$	12.6409	+	19.6697i	0.721455	+	1.12261i	−0.265887	+	0.964004i	$0.585665\pi$
$308$	−22.3329	−	17.6802i	−1.27253	−	1.00742i
$309$	−2.73618	−	9.31856i	−0.155656	−	0.530114i
$310$	−0.193328	+	1.00308i	−0.0109803	+	0.0569711i
$311$	−16.3016	+	5.64205i	−0.924380	+	0.319931i	−0.747470	−	0.664296i	$-0.768731\pi$
$311$	−16.3016	+	5.64205i	−0.924380	+	0.319931i	−0.176910	+	0.984227i	$0.556610\pi$
$312$	−0.456752	+	1.88276i	−0.0258585	+	0.106590i
$313$	1.11599	−	1.56719i	0.0630793	−	0.0885825i	−0.781831	−	0.623490i	$-0.785714\pi$
$313$	1.11599	−	1.56719i	0.0630793	−	0.0885825i	0.844911	+	0.534908i	$0.179654\pi$
$314$	25.3739	−	16.3068i	1.43193	−	0.920248i
$315$	−0.145579	+	0.125322i	−0.00820247	+	0.00706108i
$316$	12.6433	−	1.81783i	0.711242	−	0.102261i
$317$	31.5237	−	3.01014i	1.77054	−	0.169067i	0.841801	−	0.539788i	$-0.181496\pi$
$317$	31.5237	−	3.01014i	1.77054	−	0.169067i	0.928744	+	0.370722i	$0.120890\pi$
$318$	16.5301	+	12.9994i	0.926961	+	0.728970i
$319$	4.08976	+	7.93304i	0.228983	+	0.444165i
$320$	0.278216	−	0.803852i	0.0155527	−	0.0449367i
$321$	−10.4970			−0.585887
$322$	14.6567	+	26.1379i	0.816786	+	1.45661i
$323$	−6.09020			−0.338868
$324$	−1.17015	+	3.38093i	−0.0650085	+	0.187830i
$325$	−1.19001	−	2.30830i	−0.0660098	−	0.128041i
$326$	−43.8034	−	34.4474i	−2.42605	−	1.90786i
$327$	9.38827	−	0.896471i	0.519173	−	0.0495750i
$328$	25.8884	−	3.72219i	1.42945	−	0.205524i
$329$	−32.6214	+	6.17770i	−1.79847	+	0.340588i
$330$	−0.434072	+	0.278961i	−0.0238949	+	0.0153563i
$331$	−2.96535	+	4.16425i	−0.162990	+	0.228888i	−0.887992	−	0.459860i	$-0.847900\pi$
$331$	−2.96535	+	4.16425i	−0.162990	+	0.228888i	0.725001	+	0.688747i	$0.241839\pi$
$332$	−6.53094	+	26.9209i	−0.358432	+	1.47748i
$333$	0.181256	−	0.0627334i	0.00993278	−	0.00343777i
$334$	1.92113	−	9.96775i	0.105119	−	0.545411i
$335$	−0.0136400	−	0.0464536i	−0.000745233	−	0.00253803i
$336$	−4.04465	+	1.60405i	−0.220654	+	0.0875079i
$337$	−18.6044	−	28.9490i	−1.01345	−	1.57695i	−0.800002	−	0.599997i	$-0.795168\pi$
$337$	−18.6044	−	28.9490i	−1.01345	−	1.57695i	−0.213443	−	0.976955i	$-0.568468\pi$
$338$	−7.08782	−	29.2164i	−0.385527	−	1.58916i
$339$	−0.0660446	−	0.0264403i	−0.00358705	−	0.00143604i
$340$	−0.347522	−	0.488027i	−0.0188471	−	0.0264670i
$341$	−16.6433	+	6.66297i	−0.901285	+	0.360820i
$342$	5.24609	+	3.37146i	0.283676	+	0.182308i
$343$	−9.86089	−	15.6768i	−0.532438	−	0.846469i
$344$		−	6.54806i		−	0.353048i
$345$	0.342500	−	0.0627124i	0.0184396	−	0.00337632i
$346$	−44.6629	−	25.7861i	−2.40109	−	1.38627i
$347$	−8.58250	+	1.65414i	−0.460733	+	0.0887989i	−0.414336	−	0.910124i	$-0.635986\pi$
$347$	−8.58250	+	1.65414i	−0.460733	+	0.0887989i	−0.0463969	+	0.998923i	$0.514774\pi$
$348$	10.5994	+	0.504911i	0.568187	+	0.0270661i
$349$	−25.6266	−	3.68455i	−1.37176	−	0.197229i	−0.583271	−	0.812277i	$-0.698228\pi$
$349$	−25.6266	−	3.68455i	−1.37176	−	0.197229i	−0.788490	+	0.615048i	$0.789137\pi$
$350$	14.3909	−	27.6937i	0.769225	−	1.48029i
$351$	0.0739960	+	0.514654i	0.00394962	+	0.0274702i
$352$	10.4347	−	2.53143i	0.556171	−	0.134926i
$353$	−25.3887	+	1.20941i	−1.35131	+	0.0643707i	−0.710698	−	0.703497i	$-0.751621\pi$
$353$	−25.3887	+	1.20941i	−1.35131	+	0.0643707i	−0.640608	+	0.767868i	$0.721318\pi$
$354$	−27.9584	−	2.66971i	−1.48597	−	0.141893i
$355$	0.533646	+	0.508831i	0.0283230	+	0.0270059i
$356$	−7.50850	+	8.66527i	−0.397950	+	0.459258i
$357$	1.45790	−	5.92567i	0.0771601	−	0.313620i
$358$	3.18670	−	0.935701i	0.168423	−	0.0494533i
$359$	−29.3681	−	20.9129i	−1.54999	−	1.10374i	−0.953612	−	0.301039i	$-0.902667\pi$
$359$	−29.3681	−	20.9129i	−1.54999	−	1.10374i	−0.596378	−	0.802704i	$-0.703394\pi$
$360$	0.0128722	+	0.270221i	0.000678425	+	0.0142419i
$361$	−8.70501	+	8.30021i	−0.458158	+	0.436853i
$362$	43.2997	−	34.0512i	2.27578	−	1.78969i
$363$	1.76903	+	0.807891i	0.0928502	+	0.0424033i
$364$	−3.23504	+	3.70908i	−0.169562	+	0.194409i
$365$	−0.224513	+	0.349348i	−0.0117515	+	0.0182857i
$366$	19.6350	+	6.79575i	1.02634	+	0.355220i
$367$	−5.74445	+	9.94969i	−0.299858	+	0.519369i	−0.976103	−	0.217307i	$-0.930273\pi$
$367$	−5.74445	+	9.94969i	−0.299858	+	0.519369i	0.676245	+	0.736677i	$0.263606\pi$
$368$	7.79600	+	1.19503i	0.406394	+	0.0622951i
$369$	6.07891	−	3.50966i	0.316455	−	0.182706i
$370$	0.0248556	−	0.0215375i	0.00129218	−	0.00111968i
$371$	9.71700	+	21.4610i	0.504481	+	1.11420i
$372$	−3.03336	+	21.0975i	−0.157273	+	1.09385i
$373$	2.39691	+	25.1016i	0.124107	+	1.29971i	0.816144	+	0.577849i	$0.196108\pi$
$373$	2.39691	+	25.1016i	0.124107	+	1.29971i	−0.692037	+	0.721862i	$0.743286\pi$
$374$	6.09223	−	15.2176i	0.315021	−	0.786886i
$375$	−0.500758	−	0.525179i	−0.0258590	−	0.0271202i
$376$	−21.4259	+	41.5604i	−1.10495	+	2.14331i
$377$	1.40279	−	0.640632i	0.0722473	−	0.0329942i
$378$	−4.53621	+	4.29729i	−0.233317	+	0.221029i
$379$	−12.5127	−	10.8423i	−0.642733	−	0.556931i	0.271339	−	0.962484i	$-0.412534\pi$
$379$	−12.5127	−	10.8423i	−0.642733	−	0.556931i	−0.914072	+	0.405553i	$0.867079\pi$
$380$	0.673478	+	0.129802i	0.0345487	+	0.00665872i
$381$	10.1193	+	2.45491i	0.518426	+	0.125769i
$382$	−0.899425	+	9.41920i	−0.0460186	+	0.481928i
$383$	−17.7112	−	9.13076i	−0.905000	−	0.466560i	−0.0580994	−	0.998311i	$-0.518504\pi$
$383$	−17.7112	−	9.13076i	−0.905000	−	0.466560i	−0.846901	+	0.531751i	$0.821534\pi$
$384$	5.78507	−	19.7022i	0.295218	−	1.00542i
$385$	−0.575595	+	0.0530813i	−0.0293351	+	0.00270527i
$386$	21.3226	−	46.6900i	1.08529	−	2.37646i
$387$	−0.653142	−	1.63147i	−0.0332011	−	0.0829323i
$388$	21.8179	−	11.2479i	1.10764	−	0.571027i
$389$	3.46224	+	17.9638i	0.175542	+	0.910800i	0.957711	+	0.287733i	$0.0929015\pi$
$389$	3.46224	+	17.9638i	0.175542	+	0.910800i	−0.782168	+	0.623067i	$0.785886\pi$
$390$	0.0445773	+	0.0772101i	0.00225726	+	0.00390969i
$391$	−7.70746	+	7.93422i	−0.389783	+	0.401251i
$392$	−25.9479	−	2.64752i	−1.31057	−	0.133720i
$393$	−1.41204	−	1.62958i	−0.0712278	−	0.0822013i
$394$	1.68747	−	35.4244i	0.0850136	−	1.78466i
$395$	0.160235	−	0.203755i	0.00806230	−	0.0102520i
$396$	−8.76972	+	6.24489i	−0.440695	+	0.313817i
$397$	15.1650	+	19.2839i	0.761112	+	0.967832i	0.999995	−	0.00321624i	$-0.00102376\pi$
$397$	15.1650	+	19.2839i	0.761112	+	0.967832i	−0.238883	+	0.971048i	$0.576781\pi$
$398$	−11.4694	−	3.36772i	−0.574909	−	0.168808i
$399$	3.47339	+	6.06137i	0.173887	+	0.303448i
$400$	−3.41228	−	7.47186i	−0.170614	−	0.373593i
$401$	25.4788	−	26.7213i	1.27235	−	1.33440i	0.355755	−	0.934579i	$-0.384224\pi$
$401$	25.4788	−	26.7213i	1.27235	−	1.33440i	0.916593	−	0.399821i	$-0.130928\pi$
$402$	−0.515093	−	1.48826i	−0.0256905	−	0.0742278i
$403$	1.01313	+	2.92725i	0.0504677	+	0.145817i
$404$	0.219490	−	0.230194i	0.0109200	−	0.0114526i
$405$	0.0301606	+	0.0660425i	0.00149869	+	0.00328168i
$406$	16.0199	+	9.31845i	0.795056	+	0.462467i
$407$	0.553799	+	0.162610i	0.0274508	+	0.00806028i
$408$	−5.31256	−	6.75547i	−0.263011	−	0.334446i
$409$	−16.3898	+	11.6711i	−0.810422	+	0.577099i	−0.908406	−	0.418089i	$-0.862700\pi$
$409$	−16.3898	+	11.6711i	−0.810422	+	0.577099i	0.0979837	+	0.995188i	$0.468761\pi$
$410$	0.744013	−	0.946090i	0.0367442	−	0.0467241i
$411$	−0.0191994	+	0.403045i	−0.000947037	+	0.0198808i
$412$	−22.7542	−	26.2597i	−1.12102	−	1.29372i
$413$	−26.4134	−	17.0960i	−1.29972	−	0.841242i
$414$	11.0315	−	2.56778i	0.542168	−	0.126199i
$415$	0.281081	+	0.486846i	0.0137977	+	0.0238983i
$416$	−0.351111	−	1.82174i	−0.0172147	−	0.0893181i
$417$	1.00882	−	0.520081i	0.0494020	−	0.0254685i
$418$	6.97441	+	17.4212i	0.341129	+	0.852100i
$419$	7.96698	−	17.4453i	0.389213	−	0.852257i	−0.609039	−	0.793141i	$-0.708445\pi$
$419$	7.96698	−	17.4453i	0.389213	−	0.852257i	0.998251	−	0.0591161i	$-0.0188282\pi$
$420$	−0.287516	+	0.624211i	−0.0140293	+	0.0304584i
$421$	9.30459	−	31.6885i	0.453478	−	1.54440i	−0.342762	−	0.939422i	$-0.611362\pi$
$421$	9.30459	−	31.6885i	0.453478	−	1.54440i	0.796240	−	0.604981i	$-0.206819\pi$
$422$	−7.06661	−	3.64309i	−0.343997	−	0.177343i
$423$	−1.19285	+	12.4920i	−0.0579981	+	0.607384i
$424$	32.2427	+	7.82199i	1.56584	+	0.379869i
$425$	11.3121	+	2.18022i	0.548716	+	0.105756i
$426$	18.1269	+	15.7070i	0.878249	+	0.761007i
$427$	16.0081	+	16.8981i	0.774685	+	0.817755i
$428$	−34.1615	+	15.6010i	−1.65126	+	0.754104i
$429$	−0.716948	+	1.39069i	−0.0346146	+	0.0671429i
$430$	−0.207943	−	0.218084i	−0.0100279	−	0.0105169i
$431$	−1.31339	+	3.28070i	−0.0632639	+	0.158026i	−0.956631	−	0.291301i	$-0.905912\pi$
$431$	−1.31339	+	3.28070i	−0.0632639	+	0.158026i	0.893368	+	0.449327i	$0.148336\pi$
$432$	0.156326	+	1.63712i	0.00752123	+	0.0787659i
$433$	2.10093	−	14.6123i	0.100964	−	0.702222i	−0.874973	−	0.484172i	$-0.839121\pi$
$433$	2.10093	−	14.6123i	0.100964	−	0.702222i	0.975937	−	0.218051i	$-0.0699699\pi$
$434$	−21.6913	+	30.2533i	−1.04122	+	1.45220i
$435$	0.162744	−	0.141018i	0.00780296	−	0.00676131i
$436$	29.2208	−	16.8706i	1.39942	−	0.807957i
$437$	0.117814	−	12.6627i	0.00563580	−	0.605739i
$438$	−6.75417	+	11.6986i	−0.322727	+	0.558979i
$439$	29.8444	+	10.3292i	1.42439	+	0.492988i	0.927172	−	0.374636i	$-0.122232\pi$
$439$	29.8444	+	10.3292i	1.42439	+	0.492988i	0.497222	+	0.867623i	$0.334353\pi$
$440$	−0.440119	+	0.684838i	−0.0209818	+	0.0326484i
$441$	−6.72909	+	1.92856i	−0.320433	+	0.0918363i
$442$	−2.57633	−	1.17657i	−0.122544	−	0.0559638i
$443$	11.5730	−	9.10110i	0.549849	−	0.432406i	−0.304193	−	0.952611i	$-0.598387\pi$
$443$	11.5730	−	9.10110i	0.549849	−	0.432406i	0.854042	+	0.520204i	$0.174144\pi$
$444$	0.496643	−	0.473548i	0.0235696	−	0.0224736i
$445$	0.0110713	+	0.232415i	0.000524831	+	0.0110176i
$446$	−13.6553	−	9.72389i	−0.646597	−	0.460439i
$447$	16.2637	−	4.77546i	0.769247	−	0.225871i
$448$	21.4637	−	22.3650i	1.01407	−	1.05664i
$449$	−11.6931	+	13.4945i	−0.551830	+	0.636845i	−0.961308	−	0.275474i	$-0.911165\pi$
$449$	−11.6931	+	13.4945i	−0.551830	+	0.636845i	0.409479	+	0.912320i	$0.365711\pi$
$450$	−8.53726	−	8.14026i	−0.402450	−	0.383736i
$451$	21.0268	+	2.00782i	0.990114	+	0.0945444i
$452$	−0.254232	+	0.0121105i	−0.0119581	+	0.000569632i
$453$	−8.84771	+	2.14643i	−0.415701	+	0.100848i
$454$	3.11887	+	21.6922i	0.146376	+	1.01807i
$455$	0.00442906	+	0.0997786i	0.000207637	+	0.00467769i
$456$	9.73850	+	1.40018i	0.456047	+	0.0655696i
$457$	−15.5001	−	0.738363i	−0.725066	−	0.0345392i	−0.318196	−	0.948025i	$-0.603077\pi$
$457$	−15.5001	−	0.738363i	−0.725066	−	0.0345392i	−0.406871	+	0.913486i	$0.633380\pi$
$458$	48.0864	−	9.26789i	2.24693	−	0.433060i
$459$	−1.99747	−	1.15324i	−0.0932340	−	0.0538287i
$460$	1.02143	−	0.713126i	0.0476242	−	0.0332497i
$461$		−	3.18293i		−	0.148244i	−0.997249	−	0.0741220i	$-0.976385\pi$
$461$		−	3.18293i		−	0.148244i	0.997249	−	0.0741220i	$-0.0236154\pi$
$462$	−18.6201	+	2.61562i	−0.866288	+	0.121690i
$463$	−18.0969	−	11.6302i	−0.841035	−	0.540500i	0.0477318	−	0.998860i	$-0.484801\pi$
$463$	−18.0969	−	11.6302i	−0.841035	−	0.540500i	−0.888767	+	0.458360i	$0.848437\pi$
$464$	4.52835	−	1.81288i	0.210223	−	0.0841607i
$465$	0.250898	+	0.352338i	0.0116351	+	0.0163393i
$466$	−5.15202	−	2.06256i	−0.238663	−	0.0955462i
$467$	5.56392	+	22.9348i	0.257468	+	1.06130i	0.942878	+	0.333139i	$0.108108\pi$
$467$	5.56392	+	22.9348i	0.257468	+	1.06130i	−0.685410	+	0.728157i	$0.740377\pi$
$468$	1.00571	+	1.56491i	0.0464888	+	0.0723380i
$469$	0.256741	−	1.74550i	0.0118552	−	0.0805999i
$470$	0.606216	+	2.06458i	0.0279626	+	0.0952320i
$471$	2.41697	−	12.5404i	0.111368	−	0.577833i
$472$	−41.8738	+	14.4926i	−1.92740	+	0.667078i
$473$	1.24674	−	5.13914i	0.0573253	−	0.236298i
$474$	4.89100	−	6.86845i	0.224651	−	0.315478i
$475$	−11.0948	+	7.13021i	−0.509065	+	0.327156i
$476$	−4.06235	−	21.4512i	−0.186197	−	0.983216i
$477$	8.81358	−	1.26720i	0.403546	−	0.0580212i
$478$	45.6697	−	4.36093i	2.08888	−	0.199464i
$479$	−19.0591	−	14.9883i	−0.870835	−	0.684832i	0.0792397	−	0.996856i	$-0.474751\pi$
$479$	−19.0591	−	14.9883i	−0.870835	−	0.684832i	−0.950074	+	0.312024i	$0.898993\pi$
$480$	−0.118710	−	0.230265i	−0.00541833	−	0.0105101i
$481$	0.0326180	−	0.0942435i	0.00148725	−	0.00429713i
$482$	46.5977			2.12247
$483$	12.2924	+	3.14588i	0.559324	+	0.143143i
$484$	6.95785			0.316266
$485$	0.162923	−	0.470736i	0.00739797	−	0.0213750i
$486$	1.08220	+	2.09918i	0.0490896	+	0.0952206i
$487$	−5.53436	−	4.35227i	−0.250786	−	0.197220i	0.484850	−	0.874597i	$-0.338874\pi$
$487$	−5.53436	−	4.35227i	−0.250786	−	0.197220i	−0.735636	+	0.677377i	$0.763117\pi$
$488$	32.6328	−	3.11606i	1.47722	−	0.141057i
$489$	−23.3553	+	3.35798i	−1.05616	+	0.151853i
$490$	−0.948274	+	0.735836i	−0.0428387	+	0.0332417i
$491$	−4.61144	+	2.96359i	−0.208111	+	0.133745i	−0.640545	−	0.767921i	$-0.721291\pi$
$491$	−4.61144	+	2.96359i	−0.208111	+	0.133745i	0.432433	+	0.901666i	$0.357655\pi$
$492$	14.5670	−	20.4565i	0.656731	−	0.922250i
$493$	−1.61282	+	6.64815i	−0.0726379	+	0.299417i
$494$	3.06408	−	1.06049i	0.137859	−	0.0477136i
$495$	−0.0413472	+	0.214530i	−0.00185842	+	0.00964239i
$496$	2.76031	+	9.40075i	0.123942	+	0.422106i
$497$	9.90565	+	24.9774i	0.444329	+	1.12039i
$498$	9.88644	+	15.3836i	0.443022	+	0.689355i
$499$	−3.58048	−	14.7589i	−0.160284	−	0.660700i	−0.994082	−	0.108631i	$-0.965353\pi$
$499$	−3.58048	−	14.7589i	−0.160284	−	0.660700i	0.833798	−	0.552070i	$-0.186162\pi$
$500$	−2.41020	−	0.964899i	−0.107788	−	0.0431516i
$501$	−2.49322	−	3.50123i	−0.111389	−	0.156424i
$502$	5.77433	−	2.31169i	0.257721	−	0.103176i
$503$	24.1976	+	15.5508i	1.07892	+	0.693377i	0.954307	−	0.298829i	$-0.0965960\pi$
$503$	24.1976	+	15.5508i	1.07892	+	0.693377i	0.124609	+	0.992206i	$0.460232\pi$
$504$	−3.69360	+	9.14022i	−0.164526	+	0.407138i
$505$		−	0.00645458i		−	0.000287225i
$506$	31.5226	+	12.9613i	1.40135	+	0.576200i
$507$	−11.0242	−	6.36483i	−0.489602	−	0.282672i
$508$	36.5807	−	7.05035i	1.62301	−	0.312809i
$509$	−3.80123	−	0.181075i	−0.168487	−	0.00802601i	−0.0368310	−	0.999322i	$-0.511726\pi$
$509$	−3.80123	−	0.181075i	−0.168487	−	0.00802601i	−0.131656	+	0.991295i	$0.542029\pi$
$510$	−0.391464	−	0.0562841i	−0.0173343	−	0.00249230i
$511$	−12.7571	+	8.14019i	−0.564340	+	0.360101i
$512$	−2.57927	−	17.9392i	−0.113989	−	0.792810i
$513$	2.56604	−	0.622515i	0.113293	−	0.0274847i
$514$	−31.5926	+	1.50494i	−1.39349	+	0.0663802i
$515$	−0.701930	−	0.0670262i	−0.0309307	−	0.00295353i
$516$	−4.55033	−	4.33873i	−0.200317	−	0.191002i
$517$	−24.7288	+	28.5386i	−1.08757	+	1.25512i
$518$	1.15104	−	0.333928i	0.0505738	−	0.0146720i
$519$	−20.9522	+	6.15213i	−0.919701	+	0.270049i
$520$	0.114578	+	0.0815906i	0.00502458	+	0.00357798i
$521$	2.11190	+	44.3342i	0.0925239	+	1.94232i	0.279903	+	0.960028i	$0.409698\pi$
$521$	2.11190	+	44.3342i	0.0925239	+	1.94232i	−0.187379	+	0.982288i	$0.559999\pi$
$522$	5.06962	−	4.83387i	0.221891	−	0.211573i
$523$	32.0329	−	25.1909i	1.40070	−	1.10152i	0.419669	−	0.907677i	$-0.362146\pi$
$523$	32.0329	−	25.1909i	1.40070	−	1.10152i	0.981032	−	0.193846i	$-0.0620962\pi$
$524$	−7.01726	−	3.20467i	−0.306550	−	0.139997i
$525$	−4.28166	−	12.5019i	−0.186867	−	0.545630i
$526$	37.3397	−	58.1017i	1.62809	−	2.53335i
$527$	−12.9853	−	4.49425i	−0.565648	−	0.195773i
$528$	−2.47440	+	4.28579i	−0.107685	+	0.186515i
$529$	−16.3477	−	16.1788i	−0.710769	−	0.703426i
$530$	1.32224	−	0.763398i	0.0574346	−	0.0331599i
$531$	−8.98740	+	7.78762i	−0.390020	+	0.337954i
$532$	20.3124	+	14.5638i	0.880654	+	0.631421i
$533$	0.519402	−	3.61252i	0.0224978	−	0.156476i
$534$	0.719461	+	7.53453i	0.0311341	+	0.326051i
$535$	−0.283252	+	0.707529i	−0.0122460	+	0.0305891i
$536$	−1.71464	−	1.79826i	−0.0740610	−	0.0776730i
$537$	0.644395	−	1.24995i	0.0278077	−	0.0539394i
$538$	−46.4339	+	21.2056i	−2.00191	+	0.914240i
$539$	−19.8607	−	7.01832i	−0.855463	−	0.302300i
$540$	0.196309	+	0.170103i	0.00844779	+	0.00732006i
$541$	−29.3511	−	5.65695i	−1.26190	−	0.243211i	−0.485940	−	0.873992i	$-0.661523\pi$
$541$	−29.3511	−	5.65695i	−1.26190	−	0.243211i	−0.775961	+	0.630781i	$0.782735\pi$
$542$	3.96723	+	0.962440i	0.170407	+	0.0413404i
$543$	2.21710	−	23.2185i	0.0951447	−	0.996401i
$544$	7.31508	+	3.77119i	0.313632	+	0.161688i
$545$	0.192909	−	0.656986i	0.00826329	−	0.0281422i
$546$	0.298346	+	3.23516i	0.0127680	+	0.138452i
$547$	18.1966	−	39.8450i	0.778031	−	1.70365i	0.0699160	−	0.997553i	$-0.477727\pi$
$547$	18.1966	−	39.8450i	0.778031	−	1.70365i	0.708115	−	0.706097i	$-0.249546\pi$
$548$	0.536536	+	1.34020i	0.0229197	+	0.0572506i
$549$	7.81975	−	4.03136i	0.333739	−	0.172054i
$550$	−6.71781	−	34.8553i	−0.286449	−	1.48624i
$551$	−3.91579	−	6.78236i	−0.166818	−	0.288938i
$552$	14.1487	−	10.9152i	0.602209	−	0.464580i
$553$	8.40993	−	4.30119i	0.357627	−	0.182905i
$554$	29.3500	+	33.8717i	1.24696	+	1.43907i
$555$	0.000662614	−	0.0139100i	2.81264e−5	−	0.000590446i
$556$	2.51013	−	3.19189i	0.106453	−	0.135366i
$557$	−7.08367	+	5.04426i	−0.300145	+	0.213732i	−0.720200	−	0.693766i	$-0.755950\pi$
$557$	−7.08367	+	5.04426i	−0.300145	+	0.213732i	0.420055	+	0.907498i	$0.362011\pi$
$558$	8.69756	+	11.0599i	0.368197	+	0.468201i
$559$	−0.876717	−	0.257427i	−0.0370812	−	0.0108880i
$560$	−0.00102358	+	0.315904i	−4.32542e−5	+	0.0133494i
$561$	−2.88325	−	6.31343i	−0.121731	−	0.266553i
$562$	−40.1440	+	42.1018i	−1.69337	+	1.77596i
$563$	2.13264	+	6.16186i	0.0898801	+	0.259692i	0.980978	−	0.194120i	$-0.0621851\pi$
$563$	2.13264	+	6.16186i	0.0898801	+	0.259692i	−0.891098	+	0.453812i	$0.850064\pi$
$564$	14.6841	+	42.4269i	0.618312	+	1.78649i
$565$	−0.00356430	+	0.00373813i	−0.000149951	+	0.000157264i
$566$	7.72879	+	16.9237i	0.324865	+	0.711356i
$567$	−0.00857262	+	2.64574i	−0.000360016	+	0.111111i
$568$	36.3088	+	10.6612i	1.52348	+	0.447335i
$569$	−10.2060	−	12.9779i	−0.427856	−	0.544064i	0.523553	−	0.851993i	$-0.324606\pi$
$569$	−10.2060	−	12.9779i	−0.427856	−	0.544064i	−0.951409	+	0.307930i	$0.900364\pi$
$570$	0.368806	−	0.262626i	0.0154476	−	0.0110002i
$571$	22.7719	−	28.9568i	0.952974	−	1.21180i	−0.0242741	−	0.999705i	$-0.507727\pi$
$571$	22.7719	−	28.9568i	0.952974	−	1.21180i	0.977248	−	0.212100i	$-0.0680301\pi$
$572$	−0.266351	+	5.59139i	−0.0111367	+	0.233788i
$573$	2.62365	+	3.02786i	0.109605	+	0.126490i
$574$	39.0495	−	19.9715i	1.62990	−	0.833596i
$575$	−4.75194	+	23.4778i	−0.198169	+	0.979092i
$576$	−5.85809	−	10.1465i	−0.244087	−	0.422771i
$577$	−5.64493	−	29.2887i	−0.235002	−	1.21930i	−0.887246	−	0.461296i	$-0.847385\pi$
$577$	−5.64493	−	29.2887i	−0.235002	−	1.21930i	0.652245	−	0.758008i	$-0.273827\pi$
$578$	−24.5187	+	12.6403i	−1.01984	+	0.525766i
$579$	−8.07754	−	20.1767i	−0.335691	−	0.838516i
$580$	0.320046	−	0.700804i	0.0132892	−	0.0290993i
$581$	1.88121	+	20.3992i	0.0780457	+	0.846302i
$582$	4.56512	−	15.5474i	0.189230	−	0.644460i
$583$	23.8159	+	12.2779i	0.986352	+	0.508500i
$584$	−2.02585	+	21.2157i	−0.0838303	+	0.877911i
$585$	0.0366858	+	0.00889988i	0.00151677	+	0.000367965i
$586$	−10.9437	−	2.10922i	−0.452080	−	0.0871312i
$587$	6.76515	+	5.86203i	0.279228	+	0.241952i	0.783203	−	0.621766i	$-0.213584\pi$
$587$	6.76515	+	5.86203i	0.279228	+	0.241952i	−0.503976	+	0.863718i	$0.668130\pi$
$588$	−19.0328	+	16.2773i	−0.784901	+	0.671264i
$589$	14.3092	−	6.53481i	0.589602	−	0.269262i
$590$	−0.934376	+	1.81244i	−0.0384677	+	0.0746168i
$591$	−10.3625	−	10.8679i	−0.426258	−	0.447046i
$592$	0.117236	−	0.292841i	0.00481837	−	0.0120357i
$593$	−1.09252	−	11.4413i	−0.0448642	−	0.469839i	−0.989788	−	0.142548i	$-0.954470\pi$
$593$	−1.09252	−	11.4413i	−0.0448642	−	0.469839i	0.944924	−	0.327291i	$-0.106136\pi$
$594$	−1.01141	+	7.03451i	−0.0414987	+	0.288630i
$595$	−0.360067	−	0.258165i	−0.0147613	−	0.0105837i
$596$	45.8311	−	39.7129i	1.87732	−	1.62670i
$597$	−4.38330	+	2.53070i	−0.179397	+	0.103575i
$598$	2.49616	−	5.33393i	0.102076	−	0.218121i
$599$	−11.8406	+	20.5085i	−0.483793	+	0.837954i	−0.999827	−	0.0186145i	$-0.994074\pi$
$599$	−11.8406	+	20.5085i	−0.483793	+	0.837954i	0.516034	+	0.856568i	$0.327408\pi$
$600$	−17.5872	−	6.08700i	−0.717996	−	0.248501i
$601$	22.5286	−	35.0552i	0.918960	−	1.42993i	0.0161595	−	0.999869i	$-0.494856\pi$
$601$	22.5286	−	35.0552i	0.918960	−	1.42993i	0.902800	−	0.430060i	$-0.141508\pi$
$602$	−3.55784	−	10.3885i	−0.145007	−	0.423404i
$603$	−0.606576	−	0.277014i	−0.0247017	−	0.0112809i
$604$	−25.6038	+	20.1351i	−1.04181	+	0.819285i
$605$	0.102190	−	0.0974377i	0.00415460	−	0.00396141i
$606$	−0.00999034	−	0.209723i	−0.000405830	−	0.00851941i
$607$	−11.1169	−	7.91629i	−0.451220	−	0.321312i	0.331755	−	0.943366i	$-0.392359\pi$
$607$	−11.1169	−	7.91629i	−0.451220	−	0.321312i	−0.782975	+	0.622053i	$0.786299\pi$
$608$	−9.04006	+	2.65440i	−0.366623	+	0.107650i
$609$	7.53651	−	2.18642i	0.305395	−	0.0885981i
$610$	0.987885	−	1.14008i	0.0399983	−	0.0461605i
$611$	4.72217	+	4.50258i	0.191039	+	0.182155i
$612$	−8.21455	−	0.784394i	−0.332053	−	0.0317073i
$613$	45.2420	−	2.15514i	1.82731	−	0.0870454i	0.894423	−	0.447221i	$-0.147586\pi$
$613$	45.2420	−	2.15514i	1.82731	−	0.0870454i	0.932885	+	0.360176i	$0.117283\pi$
$614$	53.6636	−	13.0186i	2.16569	−	0.525390i
$615$	−0.0725275	−	0.504440i	−0.00292459	−	0.0203410i
$616$	−25.0081	+	15.9575i	−1.00760	+	0.642944i
$617$	−14.0095	−	2.01427i	−0.564002	−	0.0810913i	−0.145584	−	0.989346i	$-0.546506\pi$
$617$	−14.0095	−	2.01427i	−0.564002	−	0.0810913i	−0.418418	+	0.908255i	$0.637415\pi$
$618$	−22.9109	−	1.09138i	−0.921613	−	0.0439018i
$619$	−24.9137	+	4.80173i	−1.00137	+	0.192998i	−0.663485	−	0.748190i	$-0.730923\pi$
$619$	−24.9137	+	4.80173i	−1.00137	+	0.192998i	−0.337884	+	0.941188i	$0.609711\pi$
$620$	1.34018	+	0.773752i	0.0538229	+	0.0310746i
$621$	2.43645	−	4.13082i	0.0977715	−	0.165764i
$622$			40.7405i			1.63355i
$623$	−3.17684	+	7.86145i	−0.127278	+	0.314962i
$624$	0.719343	+	0.462294i	0.0287968	+	0.0185066i
$625$	23.1358	−	9.26218i	0.925433	−	0.370487i
$626$	−2.63565	−	3.70125i	−0.105342	−	0.147932i
$627$	7.37651	+	2.95311i	0.294590	+	0.117936i
$628$	−10.7722	−	44.4037i	−0.429859	−	1.77190i
$629$	0.239177	+	0.372167i	0.00953662	+	0.0148393i
$630$	0.167244	+	0.421711i	0.00666318	+	0.0168014i
$631$	−10.6963	−	36.4283i	−0.425813	−	1.45019i	−0.841291	−	0.540583i	$-0.818204\pi$
$631$	−10.6963	−	36.4283i	−0.425813	−	1.45019i	0.415478	−	0.909603i	$-0.363614\pi$
$632$	2.51763	−	13.0627i	0.100146	−	0.519607i
$633$	−3.18122	+	1.10103i	−0.126442	+	0.0437621i
$634$	17.6321	−	72.6804i	0.700259	−	2.88651i
$635$	0.438527	−	0.615824i	0.0174024	−	0.0244382i
$636$	26.7995	−	17.2230i	1.06267	−	0.682936i
$637$	−1.37458	+	3.37007i	−0.0544628	+	0.133527i
$638$	20.8642	−	2.99983i	0.826023	−	0.118764i
$639$	10.1099	−	0.965376i	0.399940	−	0.0381897i
$640$	−1.17188	−	0.921573i	−0.0463225	−	0.0364284i
$641$	−12.6275	−	24.4938i	−0.498754	−	0.967448i	−0.995058	−	0.0992993i	$-0.968340\pi$
$641$	−12.6275	−	24.4938i	−0.498754	−	0.967448i	0.496303	−	0.868149i	$-0.334690\pi$
$642$	−8.10834	+	23.4275i	−0.320011	+	0.924610i
$643$	−46.0476			−1.81594			−0.907971	−	0.419033i	$-0.862369\pi$
$643$	−46.0476			−1.81594			−0.907971	+	0.419033i	$0.862369\pi$
$644$	44.6799	−	8.03143i	1.76063	−	0.316483i
$645$	−0.127590			−0.00502385
$646$	−4.70432	+	13.5923i	−0.185089	+	0.534780i
$647$	18.6222	+	36.1220i	0.732113	+	1.42010i	0.900712	+	0.434417i	$0.143045\pi$
$647$	18.6222	+	36.1220i	0.732113	+	1.42010i	−0.168599	+	0.985685i	$0.553924\pi$
$648$	2.92891	+	2.30332i	0.115058	+	0.0904829i
$649$	−35.6233	+	3.40162i	−1.39834	+	0.133525i
$650$	−6.07092	+	0.872867i	−0.238121	+	0.0342367i
$651$	2.93286	+	15.4870i	0.114948	+	0.606984i
$652$	−71.0166	+	45.6396i	−2.78122	+	1.78738i
$653$	−4.75027	+	6.67082i	−0.185892	+	0.261049i	−0.896997	−	0.442037i	$-0.854256\pi$
$653$	−4.75027	+	6.67082i	−0.185892	+	0.261049i	0.711104	+	0.703086i	$0.248195\pi$
$654$	5.25113	−	21.6454i	0.205335	−	0.846404i
$655$	−0.147940	+	0.0512027i	−0.00578051	+	0.00200065i
$656$	2.18466	−	11.3351i	0.0852968	−	0.442562i
$657$	1.61143	+	5.48802i	0.0628678	+	0.214108i
$658$	−11.4106	+	77.5771i	−0.444831	+	3.02427i
$659$	17.0136	+	26.4737i	0.662756	+	1.03127i	0.996080	+	0.0884566i	$0.0281935\pi$
$659$	17.0136	+	26.4737i	0.662756	+	1.03127i	−0.333324	+	0.942812i	$0.608170\pi$
$660$	0.184281	+	0.759616i	0.00717312	+	0.0295680i
$661$	9.54032	+	3.81937i	0.371076	+	0.148556i	0.549702	−	0.835361i	$-0.314741\pi$
$661$	9.54032	+	3.81937i	0.371076	+	0.148556i	−0.178627	+	0.983917i	$0.557165\pi$
$662$	7.00331	+	9.83478i	0.272191	+	0.382239i
$663$	−1.11334	+	0.445715i	−0.0432386	+	0.0173101i
$664$	24.2708	+	15.5979i	0.941889	+	0.605315i
$665$	0.502279	−	0.0705565i	0.0194775	−	0.00273606i
$666$		−	0.452990i		−	0.0175530i
$667$	−13.7916	−	3.48198i	−0.534013	−	0.134823i
$668$	−13.3176	−	7.68890i	−0.515272	−	0.297492i
$669$	−6.96982	+	1.34332i	−0.269469	+	0.0519358i
$670$	−0.114212	−	0.00544060i	−0.00441241	−	0.000210189i
$671$	26.2046	+	3.76766i	1.01162	+	0.145449i
$672$	−0.418643	−	9.43126i	−0.0161495	−	0.363819i
$673$	4.85058	+	33.7365i	0.186976	+	1.30045i	0.839783	+	0.542922i	$0.182682\pi$
$673$	4.85058	+	33.7365i	0.186976	+	1.30045i	−0.652807	+	0.757524i	$0.726409\pi$
$674$	−78.9799	+	19.1603i	−3.04219	+	0.738028i
$675$	−4.98907	+	0.237659i	−0.192029	+	0.00914749i
$676$	−45.3367	−	4.32913i	−1.74372	−	0.166505i
$677$	−35.6131	−	33.9570i	−1.36872	−	1.30507i	−0.908872	−	0.417076i	$-0.863055\pi$
$677$	−35.6131	−	33.9570i	−1.36872	−	1.30507i	−0.459849	−	0.887997i	$-0.652097\pi$
$678$	−0.110026	+	0.126976i	−0.00422551	+	0.00487650i
$679$	12.5692	−	13.0969i	0.482360	−	0.502614i
$680$	−0.598692	+	0.175792i	−0.0229588	+	0.00674130i
$681$	7.55877	+	5.38257i	0.289653	+	0.206261i
$682$	2.01460	+	42.2917i	0.0771430	+	1.61943i
$683$	−15.3984	+	14.6824i	−0.589204	+	0.561805i	−0.924922	−	0.380158i	$-0.875870\pi$
$683$	−15.3984	+	14.6824i	−0.589204	+	0.561805i	0.335717	+	0.941963i	$0.391021\pi$
$684$	7.42571	−	5.83964i	0.283929	−	0.223284i
$685$	0.0266483	+	0.0121699i	0.00101818	+	0.000464987i
$686$	−42.6049	+	9.89834i	−1.62666	+	0.377920i
$687$	11.2104	−	17.4438i	0.427705	−	0.665522i
$688$	−2.73113	−	0.945253i	−0.104123	−	0.0360374i
$689$	2.31485	−	4.00944i	0.0881889	−	0.152748i
$690$	0.124598	−	0.812842i	0.00474338	−	0.0309444i
$691$	−3.34024	+	1.92849i	−0.127069	+	0.0733631i	−0.562187	−	0.827010i	$-0.690040\pi$
$691$	−3.34024	+	1.92849i	−0.127069	+	0.0733631i	0.435118	+	0.900373i	$0.356707\pi$
$692$	−59.0434	+	51.1614i	−2.24449	+	1.94486i
$693$	−4.63915	+	6.47030i	−0.176227	+	0.245786i
$694$	−2.93773	+	20.4324i	−0.111515	+	0.775601i
$695$	−0.00783301	−	0.0820310i	−0.000297123	−	0.00311161i
$696$	4.10744	−	10.2599i	0.155692	−	0.388900i
$697$	11.1723	+	11.7172i	0.423182	+	0.443821i
$698$	−28.0183	+	54.3480i	−1.06051	+	2.05710i
$699$	−2.13745	+	0.976139i	−0.0808457	+	0.0369210i
$700$	−32.5150	−	34.3227i	−1.22895	−	1.29728i
$701$	27.7536	+	24.0487i	1.04824	+	0.908306i	0.995912	−	0.0903243i	$-0.0287903\pi$
$701$	27.7536	+	24.0487i	1.04824	+	0.908306i	0.0523282	+	0.998630i	$0.483336\pi$
$702$	1.20577	+	0.232394i	0.0455090	+	0.00877114i
$703$	−0.492180	−	0.119402i	−0.0185629	−	0.00450332i
$704$	3.35132	−	35.0966i	0.126307	−	1.32275i
$705$	0.809811	+	0.417487i	0.0304992	+	0.0157235i
$706$	−16.9121	+	57.5974i	−0.636496	+	2.16771i
$707$	0.0984033	−	0.213639i	0.00370084	−	0.00803471i
$708$	−17.6743	+	38.7014i	−0.664242	+	1.45449i
$709$	−7.15190	−	17.8646i	−0.268595	−	0.670919i	0.731343	−	0.682010i	$-0.238894\pi$
$709$	−7.15190	−	17.8646i	−0.268595	−	0.670919i	−0.999938	+	0.0110909i	$0.996470\pi$
$710$	1.54783	−	0.797962i	0.0580891	−	0.0299470i
$711$	−0.675676	−	3.50574i	−0.0253398	−	0.131475i
$712$	5.97067	+	10.3415i	0.223760	+	0.387564i
$713$	9.59563	−	26.9120i	0.359359	−	1.00786i
$714$	−12.0989	−	7.83100i	−0.452790	−	0.293068i
$715$	0.0743900	+	0.0858506i	0.00278203	+	0.00321063i
$716$	0.239397	−	5.02556i	0.00894669	−	0.187814i
$717$	12.0080	−	15.2694i	0.448448	−	0.570248i
$718$	−69.3592	+	49.3904i	−2.58846	+	1.84323i
$719$	8.74767	+	11.1236i	0.326233	+	0.414839i	0.921309	−	0.388830i	$-0.127121\pi$
$719$	8.74767	+	11.1236i	0.326233	+	0.414839i	−0.595077	+	0.803669i	$0.702878\pi$
$720$	0.114565	+	0.0336392i	0.00426957	+	0.00125366i
$721$	−22.2112	−	12.9198i	−0.827187	−	0.481157i
$722$	11.8005	+	25.8395i	0.439169	+	0.961646i
$723$	13.6156	−	14.2796i	0.506369	−	0.531064i
$724$	−27.2928	−	78.8573i	−1.01433	−	2.93071i
$725$	4.84528	+	13.9995i	0.179949	+	0.519928i
$726$	3.16955	−	3.32412i	0.117633	−	0.123370i
$727$	16.3836	+	35.8750i	0.607633	+	1.33053i	0.924181	+	0.381954i	$0.124749\pi$
$727$	16.3836	+	35.8750i	0.607633	+	1.33053i	−0.316549	+	0.948576i	$0.602524\pi$
$728$	2.54850	+	4.44735i	0.0944536	+	0.164830i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	0.606261	+	0.770924i	0.0224387	+	0.0285332i
$731$	3.30172	−	2.35115i	0.122119	−	0.0869603i
$732$	19.4570	−	24.7416i	0.719152	−	0.914477i
$733$	−1.48291	+	31.1301i	−0.0547725	+	1.14982i	0.789447	+	0.613819i	$0.210367\pi$
$733$	−1.48291	+	31.1301i	−0.0547725	+	1.14982i	−0.844220	+	0.535997i	$0.819936\pi$
$734$	17.7687	+	20.5062i	0.655854	+	0.756896i
$735$	−0.0515873	+	0.505600i	−0.00190283	+	0.0186493i
$736$	−7.98254	+	15.1365i	−0.294240	+	0.557940i
$737$	−1.00332	−	1.73780i	−0.0369577	−	0.0640127i
$738$	−3.13734	−	16.2781i	−0.115487	−	0.599204i
$739$	−7.98557	+	4.11685i	−0.293754	+	0.151441i	−0.598804	−	0.800896i	$-0.704357\pi$
$739$	−7.98557	+	4.11685i	−0.293754	+	0.151441i	0.305050	+	0.952336i	$0.401327\pi$
$740$	−0.0185171	−	0.0462534i	−0.000680700	−	0.00170031i
$741$	0.570324	−	1.24884i	0.0209514	−	0.0458771i
$742$	55.4030	−	5.10925i	2.03391	−	0.187566i
$743$	4.72534	−	16.0930i	0.173356	−	0.590396i	−0.826276	−	0.563266i	$-0.809545\pi$
$743$	4.72534	−	16.0930i	0.173356	−	0.590396i	0.999632	−	0.0271307i	$-0.00863703\pi$
$744$	19.7308	+	10.1719i	0.723366	+	0.372921i
$745$	0.116981	−	1.22508i	0.00428585	−	0.0448835i
$746$	57.8738	+	14.0400i	2.11891	+	0.514042i
$747$	7.60297	+	1.46535i	0.278178	+	0.0536144i
$748$	−18.7664	−	16.2612i	−0.686169	−	0.594569i
$749$	−20.1619	+	19.1000i	−0.736700	+	0.697899i
$750$	−1.55891	+	0.711932i	−0.0569235	+	0.0259961i
$751$	−17.4273	+	33.8042i	−0.635931	+	1.23353i	0.322056	+	0.946721i	$0.395626\pi$
$751$	−17.4273	+	33.8042i	−0.635931	+	1.23353i	−0.957987	+	0.286813i	$0.907404\pi$
$752$	14.2415	+	14.9360i	0.519332	+	0.544660i
$753$	0.978820	−	2.44497i	0.0356702	−	0.0890998i
$754$	−0.346206	−	3.62563i	−0.0126081	−	0.132038i
$755$	−0.0940712	+	0.654279i	−0.00342360	+	0.0238117i
$756$	3.90428	+	8.62302i	0.141997	+	0.313616i
$757$	−23.9112	+	20.7192i	−0.869067	+	0.753050i	−0.970324	−	0.241810i	$-0.922259\pi$
$757$	−23.9112	+	20.7192i	−0.869067	+	0.753050i	0.101257	+	0.994860i	$0.467714\pi$
$758$	−33.8634	+	19.5510i	−1.22997	+	0.710126i
$759$	13.1826	−	5.87270i	0.478499	−	0.213165i
$760$	0.357160	−	0.618619i	0.0129556	−	0.0224397i
$761$	−13.2563	−	4.58805i	−0.480540	−	0.166317i	0.0760496	−	0.997104i	$-0.475769\pi$
$761$	−13.2563	−	4.58805i	−0.480540	−	0.166317i	−0.556590	+	0.830787i	$0.687890\pi$
$762$	13.2955	−	20.6882i	0.481645	−	0.749454i
$763$	16.4011	−	18.8044i	0.593760	−	0.680766i
$764$	13.0385	+	5.95448i	0.471716	+	0.215426i
$765$	−0.131631	+	0.103516i	−0.00475914	+	0.00374263i
$766$	−34.0591	+	32.4753i	−1.23061	+	1.17338i
$767$	0.294209	+	6.17621i	0.0106233	+	0.223010i
$768$	−20.4157	−	14.5379i	−0.736687	−	0.524592i
$769$	−14.9732	+	4.39653i	−0.539947	+	0.158543i	−0.540324	−	0.841457i	$-0.681698\pi$
$769$	−14.9732	+	4.39653i	−0.539947	+	0.158543i	0.000376557		1.00000i	$0.499880\pi$
$770$	−0.326146	+	1.32563i	−0.0117535	+	0.0477724i
$771$	−8.76999	+	10.1211i	−0.315844	+	0.364503i
$772$	−56.2748	−	53.6579i	−2.02538	−	1.93119i
$773$	40.7173	+	3.88803i	1.46450	+	0.139843i	0.796644	−	0.604448i	$-0.206606\pi$
$773$	40.7173	+	3.88803i	1.46450	+	0.139843i	0.667855	+	0.744291i	$0.267212\pi$
$774$	−4.14567	+	0.197483i	−0.149013	+	0.00709837i
$775$	−28.9177	+	7.01536i	−1.03875	+	0.251999i
$776$	−3.63824	−	25.3045i	−0.130605	−	0.908380i
$777$	0.233996	−	0.450301i	0.00839457	−	0.0161545i
$778$	42.7664	+	6.14888i	1.53325	+	0.220448i
$779$	−18.5133	−	0.881898i	−0.663308	−	0.0315973i
$780$	0.132617	−	0.0255599i	0.00474846	−	0.000915191i
$781$	26.4665	+	15.2805i	0.947047	+	0.546778i
$782$	11.7542	+	23.3304i	0.420330	+	0.834294i
$783$		−	2.96598i		−	0.105996i
$784$	−4.85000	+	10.4404i	−0.173214	+	0.372873i
$785$	−0.780041	−	0.501302i	−0.0278409	−	0.0178922i
$786$	−4.72765	+	1.89266i	−0.168630	+	0.0675091i
$787$	−12.3498	−	17.3429i	−0.440224	−	0.618207i	0.533539	−	0.845776i	$-0.320862\pi$
$787$	−12.3498	−	17.3429i	−0.440224	−	0.618207i	−0.973762	+	0.227568i	$0.926923\pi$
$788$	−49.8760	−	19.9673i	−1.77676	−	0.711307i
$789$	−6.89449	−	28.4195i	−0.245450	−	1.01176i
$790$	−0.330974	−	0.515006i	−0.0117755	−	0.0183231i
$791$	−0.174963	+	0.0693879i	−0.00622098	+	0.00246715i
$792$	3.15893	+	10.7583i	0.112248	+	0.382281i
$793$	0.865703	−	4.49169i	0.0307420	−	0.159505i
$794$	54.7524	−	18.9500i	1.94309	−	0.672510i
$795$	0.152413	−	0.628254i	0.00540552	−	0.0222819i
$796$	−10.5038	+	14.7505i	−0.372297	+	0.522818i
$797$	30.7755	−	19.7782i	1.09012	−	0.700580i	0.133249	−	0.991083i	$-0.457459\pi$
$797$	30.7755	−	19.7782i	1.09012	−	0.700580i	0.956874	+	0.290503i	$0.0938226\pi$
$798$	16.2109	−	3.06995i	0.573859	−	0.108675i
$799$	−28.6491	+	4.11912i	−1.01353	+	0.145724i
$800$	17.7414	−	1.69410i	0.627255	−	0.0598956i
$801$	2.51913	+	1.98107i	0.0890093	+	0.0699976i
$802$	−39.9565	−	77.5048i	−1.41091	−	2.73679i
$803$	−5.62939	+	16.2651i	−0.198657	+	0.573982i
$804$	−2.38575			−0.0841388
$805$	0.543740	−	0.743654i	0.0191643	−	0.0262104i
$806$	7.31570			0.257684
$807$	−7.06935	+	20.4255i	−0.248853	+	0.719013i
$808$	−0.151790	−	0.294432i	−0.00533997	−	0.0103581i
$809$	−19.6019	−	15.4151i	−0.689168	−	0.541968i	0.211013	−	0.977483i	$-0.432324\pi$
$809$	−19.6019	−	15.4151i	−0.689168	−	0.541968i	−0.900181	+	0.435516i	$0.856566\pi$
$810$	0.170693	−	0.0162992i	0.00599752	−	0.000572694i
$811$	34.1233	−	4.90619i	1.19823	−	0.172279i	0.485830	−	0.874053i	$-0.338517\pi$
$811$	34.1233	−	4.90619i	1.19823	−	0.172279i	0.712400	+	0.701774i	$0.247608\pi$
$812$	21.2772	−	18.3165i	0.746685	−	0.642782i
$813$	1.45414	−	0.934516i	0.0509987	−	0.0327749i
$814$	0.790695	−	1.11038i	0.0277138	−	0.0389186i
$815$	−0.403882	+	1.66482i	−0.0141474	+	0.0583162i
$816$	−3.58454	+	1.24062i	−0.125484	+	0.0434304i
$817$	−0.878172	+	4.55639i	−0.0307233	+	0.159408i
$818$	13.3877	+	45.5944i	0.468090	+	1.59417i
$819$	1.07857	+	0.853868i	0.0376883	+	0.0298366i
$820$	−0.985749	−	1.53385i	−0.0344238	−	0.0535645i
$821$	11.2912	+	46.5430i	0.394066	+	1.62436i	0.730680	+	0.682720i	$0.239203\pi$
$821$	11.2912	+	46.5430i	0.394066	+	1.62436i	−0.336614	+	0.941643i	$0.609282\pi$
$822$	0.884696	+	0.354179i	0.0308573	+	0.0123534i
$823$	−3.44082	−	4.83196i	−0.119940	−	0.168431i	0.750241	−	0.661164i	$-0.229937\pi$
$823$	−3.44082	−	4.83196i	−0.119940	−	0.168431i	−0.870181	+	0.492733i	$0.835998\pi$
$824$	−33.5955	+	13.4496i	−1.17035	+	0.468539i
$825$	−12.6441	−	8.12588i	−0.440211	−	0.282907i
$826$	−58.5582	+	45.7444i	−2.03750	+	1.59165i
$827$			44.4618i			1.54609i	0.634352	+	0.773045i	$0.281267\pi$
$827$			44.4618i			1.54609i	−0.634352	+	0.773045i	$0.718733\pi$
$828$	1.78982	−	17.0645i	0.0622004	−	0.593031i
$829$	−2.86222	−	1.65251i	−0.0994092	−	0.0573939i	0.449471	−	0.893295i	$-0.351612\pi$
$829$	−2.86222	−	1.65251i	−0.0994092	−	0.0573939i	−0.548880	+	0.835901i	$0.684946\pi$
$830$	1.30367	−	0.251262i	0.0452511	−	0.00872144i
$831$	18.9557	+	0.902970i	0.657565	+	0.0313237i
$832$	−6.02978	−	0.866951i	−0.209045	−	0.0300561i
$833$	−7.98191	−	14.0343i	−0.276557	−	0.486260i
$834$	−0.381478	−	2.65324i	−0.0132095	−	0.0918740i
$835$	−0.303270	+	0.0735725i	−0.0104951	+	0.00254608i
$836$	28.3951	−	1.35262i	0.982065	−	0.0467815i
$837$	5.93060	+	0.566304i	0.204992	+	0.0195743i
$838$	−32.7807	−	31.2564i	−1.13239	−	1.07973i
$839$	24.4206	−	28.1829i	0.843094	−	0.972983i	−0.156798	−	0.987631i	$-0.550117\pi$
$839$	24.4206	−	28.1829i	0.843094	−	0.972983i	0.999893	+	0.0146480i	$0.00466278\pi$
$840$	0.516408	+	0.495599i	0.0178178	+	0.0170998i
$841$	19.3846	−	5.69183i	0.668434	−	0.196270i
$842$	−63.5359	−	45.2437i	−2.18959	−	1.55920i
$843$	1.17202	+	24.6038i	0.0403666	+	0.847399i
$844$	−8.71656	+	8.31123i	−0.300036	+	0.286084i
$845$	−0.726484	+	0.571314i	−0.0249918	+	0.0196538i
$846$	26.9586	+	12.3116i	0.926857	+	0.423282i
$847$	4.86784	−	1.66713i	0.167261	−	0.0572834i
$848$	7.91690	−	12.3189i	0.271868	−	0.423034i
$849$	7.44447	+	2.57656i	0.255493	+	0.0884272i
$850$	13.6038	−	23.5624i	0.466606	−	0.808185i
$851$	−0.778434	+	0.490096i	−0.0266844	+	0.0168003i
$852$	31.4668	−	18.1673i	1.07803	−	0.622403i
$853$	0.886068	−	0.767782i	0.0303384	−	0.0262884i	−0.639560	−	0.768742i	$-0.720883\pi$
$853$	0.886068	−	0.767782i	0.0303384	−	0.0262884i	0.669898	+	0.742453i	$0.266338\pi$
$854$	50.0788	−	22.6744i	1.71366	−	0.775903i
$855$	0.0272828	−	0.189756i	0.000933053	−	0.00648953i
$856$	3.71792	+	38.9358i	0.127076	+	1.33080i
$857$	−6.62114	+	16.5388i	−0.226174	+	0.564955i	−0.997436	−	0.0715626i	$-0.977201\pi$
$857$	−6.62114	+	16.5388i	−0.226174	+	0.564955i	0.771262	+	0.636517i	$0.219626\pi$
$858$	2.54997	+	2.67433i	0.0870544	+	0.0913000i
$859$	23.1073	−	44.8219i	0.788411	−	1.52930i	−0.0589340	−	0.998262i	$-0.518770\pi$
$859$	23.1073	−	44.8219i	0.788411	−	1.52930i	0.847345	−	0.531043i	$-0.178200\pi$
$860$	−0.415229	+	0.189629i	−0.0141592	+	0.00646628i
$861$	5.28987	−	17.8021i	0.180278	−	0.606692i
$862$	6.30742	+	5.46541i	0.214832	+	0.186153i
$863$	−19.2404	−	3.70829i	−0.654951	−	0.126232i	−0.149059	−	0.988828i	$-0.547625\pi$
$863$	−19.2404	−	3.70829i	−0.654951	−	0.126232i	−0.505892	+	0.862597i	$0.668837\pi$
$864$	−3.46761	−	0.841233i	−0.117970	−	0.0286193i
$865$	−0.150704	+	1.57825i	−0.00512410	+	0.0536620i
$866$	−30.9892	−	15.9761i	−1.05306	−	0.542889i
$867$	−3.29068	+	11.2070i	−0.111757	+	0.380610i
$868$	32.5620	+	46.0419i	1.10523	+	1.56276i
$869$	4.46304	−	9.77270i	0.151398	−	0.331516i
$870$	−0.189018	−	0.472144i	−0.00640830	−	0.0160072i
$871$	−0.308176	+	0.158876i	−0.0104422	+	0.00538331i
$872$	−6.65042	−	34.5057i	−0.225212	−	1.16851i
$873$	−3.43050	−	5.94180i	−0.116105	−	0.201100i
$874$	−28.1699	−	10.0441i	−0.952862	−	0.339748i
$875$	−1.91742	−	0.0975656i	−0.0648205	−	0.00329832i
$876$	13.4007	+	15.4652i	0.452768	+	0.522522i
$877$	−2.28927	+	48.0576i	−0.0773031	+	1.62279i	0.543906	+	0.839146i	$0.316945\pi$
$877$	−2.28927	+	48.0576i	−0.0773031	+	1.62279i	−0.621209	+	0.783645i	$0.713358\pi$
$878$	46.1061	−	58.6287i	1.55600	−	1.97862i
$879$	−3.84404	+	2.73733i	−0.129656	+	0.0923277i
$880$	0.222105	+	0.282430i	0.00748716	+	0.00952070i
$881$	26.7060	+	7.84158i	0.899747	+	0.264190i	0.698719	−	0.715396i	$-0.253754\pi$
$881$	26.7060	+	7.84158i	0.899747	+	0.264190i	0.201028	+	0.979586i	$0.435572\pi$
$882$	−0.893619	+	16.5078i	−0.0300897	+	0.555848i
$883$	−1.14965	−	2.51739i	−0.0386890	−	0.0847170i	0.889301	−	0.457323i	$-0.151192\pi$
$883$	−1.14965	−	2.51739i	−0.0386890	−	0.0847170i	−0.927990	+	0.372606i	$0.878464\pi$
$884$	−2.96082	+	3.10522i	−0.0995831	+	0.104440i
$885$	0.282392	+	0.815917i	0.00949249	+	0.0274267i
$886$	−11.3726	−	32.8589i	−0.382070	−	1.10392i
$887$	−5.58920	+	5.86178i	−0.187667	+	0.196819i	−0.810846	−	0.585260i	$-0.800992\pi$
$887$	−5.58920	+	5.86178i	−0.187667	+	0.196819i	0.623179	+	0.782079i	$0.285841\pi$
$888$	−0.296891	−	0.650100i	−0.00996300	−	0.0218159i
$889$	23.9032	−	13.6975i	0.801689	−	0.459398i
$890$	0.527262	+	0.154818i	0.0176739	+	0.00518952i
$891$	1.86016	+	2.36538i	0.0623176	+	0.0792433i
$892$	−20.6861	+	14.7305i	−0.692620	+	0.493213i
$893$	20.4826	−	26.0458i	0.685426	−	0.871590i
$894$	1.90479	−	39.9865i	0.0637058	−	1.33735i
$895$	−0.0668619	−	0.0771628i	−0.00223495	−	0.00257927i
$896$	−24.7378	−	48.3688i	−0.826431	−	1.61589i
$897$	−0.905190	−	2.32348i	−0.0302234	−	0.0775786i
$898$	21.0852	+	36.5206i	0.703621	+	1.21871i
$899$	−3.34408	−	17.3507i	−0.111531	−	0.578680i
$900$	−15.8832	+	8.18836i	−0.529440	+	0.272945i
$901$	7.63298	+	19.0663i	0.254291	+	0.635189i
$902$	20.7231	−	45.3772i	0.690003	−	1.51090i
$903$	−4.22307	−	1.94517i	−0.140535	−	0.0647314i
$904$	−0.0746806	+	0.254339i	−0.00248384	+	0.00845919i
$905$	−1.50516	−	0.775966i	−0.0500334	−	0.0257940i
$906$	−2.04388	+	21.4045i	−0.0679035	+	0.711117i
$907$	31.8619	+	7.72961i	1.05796	+	0.256657i	0.726751	−	0.686901i	$-0.241030\pi$
$907$	31.8619	+	7.72961i	1.05796	+	0.256657i	0.331205	+	0.943559i	$0.392545\pi$
$908$	32.5990	+	6.28294i	1.08183	+	0.208507i
$909$	−0.0671875	−	0.0582183i	−0.00222847	−	0.00193098i
$910$	0.226110	+	0.0671883i	0.00749546	+	0.00222727i
$911$	41.7046	−	19.0458i	1.38173	−	0.631017i	0.420638	−	0.907229i	$-0.361806\pi$
$911$	41.7046	−	19.0458i	1.38173	−	0.631017i	0.961097	+	0.276212i	$0.0890791\pi$
$912$	1.98981	−	3.85970i	0.0658893	−	0.127808i
$913$	16.0787	+	16.8629i	0.532128	+	0.558080i
$914$	−13.6209	+	34.0233i	−0.450538	+	1.12539i
$915$	−0.0607168	−	0.635856i	−0.00200724	−	0.0210207i
$916$	10.5577	−	73.4303i	0.348836	−	2.42621i
$917$	−5.67726	−	0.560681i	−0.187479	−	0.0185153i
$918$	−4.11676	+	3.56719i	−0.135873	+	0.117735i
$919$	−4.57595	+	2.64193i	−0.150947	+	0.0871491i	−0.573571	−	0.819156i	$-0.694442\pi$
$919$	−4.57595	+	2.64193i	−0.150947	+	0.0871491i	0.422624	+	0.906305i	$0.361109\pi$
$920$	−0.353924	−	1.24820i	−0.0116685	−	0.0411518i
$921$	11.6907	−	20.2489i	0.385221	−	0.667223i
$922$	−7.10374	−	2.45863i	−0.233949	−	0.0809707i
$923$	2.85485	−	4.44224i	0.0939686	−	0.146218i
$924$	−5.48126	+	27.9518i	−0.180320	+	0.919546i
$925$	0.871442	+	0.397974i	0.0286528	+	0.0130853i
$926$	−39.9353	+	31.4055i	−1.31236	+	1.03205i
$927$	−7.02888	+	6.70202i	−0.230859	+	0.220123i
$928$	0.503568	+	10.5712i	0.0165304	+	0.347017i
$929$	23.9097	+	17.0260i	0.784452	+	0.558606i	0.900612	−	0.434625i	$-0.143119\pi$
$929$	23.9097	+	17.0260i	0.784452	+	0.558606i	−0.116160	+	0.993231i	$0.537058\pi$
$930$	0.980160	−	0.287801i	0.0321407	−	0.00943736i
$931$	17.7005	+	5.32216i	0.580110	+	0.174427i
$932$	−5.50533	+	6.35349i	−0.180333	+	0.208115i
$933$	12.4847	+	11.9041i	0.408730	+	0.389723i
$934$	55.4843	+	5.29810i	1.81550	+	0.173359i
$935$	−0.503344	+	0.0239772i	−0.0164611	+	0.000784140i
$936$	1.88276	−	0.456752i	0.0615398	−	0.0149294i
$937$	−3.21910	−	22.3893i	−0.105163	−	0.731428i	−0.972364	−	0.233469i	$-0.924992\pi$
$937$	−3.21910	−	22.3893i	−0.105163	−	0.731428i	0.867201	−	0.497959i	$-0.165917\pi$
$938$	−3.69734	−	1.92130i	−0.120722	−	0.0627327i
$939$	−1.90434	−	0.273803i	−0.0621459	−	0.00893524i
$940$	3.25593	+	0.155099i	0.106197	+	0.00505877i
$941$	12.4239	−	2.39451i	0.405007	−	0.0780587i	0.0173205	−	0.999850i	$-0.494486\pi$
$941$	12.4239	−	2.39451i	0.405007	−	0.0780587i	0.387687	+	0.921791i	$0.373274\pi$
$942$	−26.1211	−	15.0810i	−0.851071	−	0.491366i
$943$	−24.5785	+	23.0028i	−0.800385	+	0.749074i
$944$			19.5572i			0.636533i
$945$	0.178099	+	0.0719704i	0.00579355	+	0.00234120i
$946$	−10.5066	−	6.75220i	−0.341600	−	0.219533i
$947$	46.7643	−	18.7216i	1.51964	−	0.608371i	0.546267	−	0.837611i	$-0.316048\pi$
$947$	46.7643	−	18.7216i	1.51964	−	0.608371i	0.973370	+	0.229240i	$0.0736241\pi$
$948$	−7.40926	−	10.4048i	−0.240642	−	0.337934i
$949$	2.76091	+	1.10530i	0.0896230	+	0.0358796i
$950$	7.34327	+	30.2694i	0.238247	+	0.982068i
$951$	−17.1205	−	26.6400i	−0.555170	−	0.863862i
$952$	−22.4960	−	3.30887i	−0.729099	−	0.107241i
$953$	−4.60940	−	15.6982i	−0.149313	−	0.508514i	0.850535	−	0.525918i	$-0.176278\pi$
$953$	−4.60940	−	15.6982i	−0.149313	−	0.508514i	−0.999849	+	0.0174040i	$0.994460\pi$
$954$	3.97981	−	20.6492i	0.128851	−	0.668542i
$955$	0.274883	−	0.0951378i	0.00889499	−	0.00307859i
$956$	16.3849	−	67.5395i	0.529926	−	2.18438i
$957$	5.17712	−	7.27025i	0.167353	−	0.235014i
$958$	−48.1733	+	30.9591i	−1.55641	+	1.00024i
$959$	0.696490	+	0.809074i	0.0224908	+	0.0261264i
$960$	−0.841978	+	0.121058i	−0.0271747	+	0.00390713i
$961$	4.47238	−	0.427060i	0.144270	−	0.0137761i
$962$	−0.185139	−	0.145595i	−0.00596913	−	0.00469418i
$963$	4.81001	+	9.33013i	0.155001	+	0.300659i
$964$	23.0876	−	66.7074i	0.743603	−	2.14850i
$965$	−1.57793			−0.0507954
$966$	16.5162	−	25.0045i	0.531401	−	0.804506i
$967$	38.3020			1.23171			0.615854	−	0.787860i	$-0.288811\pi$
$967$	38.3020			1.23171			0.615854	+	0.787860i	$0.288811\pi$
$968$	2.37008	−	6.84788i	0.0761771	−	0.220099i
$969$	2.79069	+	5.41318i	0.0896499	+	0.173897i
$970$	−0.924752	−	0.727233i	−0.0296920	−	0.0233500i
$971$	−16.1508	+	1.54221i	−0.518303	+	0.0494919i	−0.350930	−	0.936402i	$-0.614134\pi$
$971$	−16.1508	+	1.54221i	−0.518303	+	0.0494919i	−0.167373	+	0.985894i	$0.553528\pi$
$972$	3.54129	−	0.509161i	0.113587	−	0.0163313i
$973$	0.991340	−	2.83454i	0.0317809	−	0.0908712i
$974$	−13.9885	+	8.98984i	−0.448219	+	0.288053i
$975$	−1.50640	+	2.11544i	−0.0482435	+	0.0677485i
$976$	3.41107	−	14.0606i	0.109186	−	0.450070i
$977$	16.0132	−	5.54221i	0.512307	−	0.177311i	−0.0586698	−	0.998277i	$-0.518686\pi$
$977$	16.0132	−	5.54221i	0.512307	−	0.177311i	0.570977	+	0.820966i	$0.306565\pi$
$978$	−10.5462	+	54.7187i	−0.337229	+	1.74971i
$979$	2.71698	+	9.25318i	0.0868350	+	0.295733i
$980$	0.583553	+	1.72209i	0.0186409	+	0.0550102i
$981$	−5.09877	−	7.93384i	−0.162791	−	0.253308i
$982$	3.05215	+	12.5811i	0.0973980	+	0.401480i
$983$	−42.9982	−	17.2139i	−1.37143	−	0.549037i	−0.435169	−	0.900349i	$-0.643312\pi$
$983$	−42.9982	−	17.2139i	−1.37143	−	0.549037i	−0.936259	+	0.351312i	$0.885736\pi$
$984$	−15.1712	−	21.3049i	−0.483640	−	0.679177i
$985$	−1.01215	+	0.405204i	−0.0322498	+	0.0129109i
$986$	13.5917	+	8.73484i	0.432847	+	0.278174i
$987$	20.4389	+	26.1643i	0.650579	+	0.832817i
$988$		−	4.91184i		−	0.156266i
$989$	4.82462	+	6.91041i	0.153414	+	0.219738i
$990$	0.446854	+	0.257991i	0.0142020	+	0.00819950i
$991$	−12.6139	+	2.43113i	−0.400694	+	0.0772275i	−0.385617	−	0.922659i	$-0.626011\pi$
$991$	−12.6139	+	2.43113i	−0.400694	+	0.0772275i	−0.0150770	+	0.999886i	$0.504799\pi$
$992$	−21.2337	−	1.01149i	−0.674170	−	0.0321147i
$993$	5.06013	+	0.727537i	0.160578	+	0.0230877i
$994$	63.3966	−	2.81410i	2.01082	−	0.0892579i
$995$	0.0522972	+	0.363735i	0.00165793	+	0.0115312i
$996$	26.9209	−	6.53094i	0.853022	−	0.206941i
$997$	56.4453	−	2.68882i	1.78764	−	0.0851557i	0.872579	−	0.488473i	$-0.162446\pi$
$997$	56.4453	−	2.68882i	1.78764	−	0.0851557i	0.915060	+	0.403317i	$0.132143\pi$
$998$	−35.7050	−	3.40942i	−1.13022	−	0.107923i
$999$	−0.138816	−	0.132361i	−0.00439195	−	0.00418771i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bf.a.10.30	✓	640
7.5	odd	6	inner	483.2.bf.a.355.3	yes	640
23.7	odd	22	inner	483.2.bf.a.283.3	yes	640
161.145	even	66	inner	483.2.bf.a.145.30	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bf.a.10.30	✓	640	1.1	even	1	trivial
483.2.bf.a.145.30	yes	640	161.145	even	66	inner
483.2.bf.a.283.3	yes	640	23.7	odd	22	inner
483.2.bf.a.355.3	yes	640	7.5	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.772442 - 2.23182i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-2.81227 - 2.21159i) q^{4} +(-0.0722748 + 0.00690140i) q^{5} +(-2.33768 + 0.336107i) q^{6} +(-2.49742 - 0.873437i) q^{7} +(-3.13459 + 2.01448i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0404253 + 0.166636i) q^{10} +(-2.84369 + 0.984209i) q^{11} +(-0.677085 + 3.51305i) q^{12} +(0.146486 + 0.498884i) q^{13} +(-3.87847 + 4.89912i) q^{14} +(0.0392524 + 0.0610780i) q^{15} +(0.387721 + 1.59821i) q^{16} +(-2.14126 - 0.857233i) q^{17} +(1.36993 + 1.92380i) q^{18} +(2.45133 - 0.981364i) q^{19} +(0.218519 + 0.140434i) q^{20} +(0.368042 + 2.62003i) q^{21} +7.10685i q^{22} +(1.82378 - 4.43552i) q^{23} +(3.22689 + 1.86305i) q^{24} +(-4.90447 + 0.945259i) q^{25} +(1.22657 + 0.0584289i) q^{26} +(0.989821 + 0.142315i) q^{27} +(5.09173 + 7.97961i) q^{28} +(-0.422103 - 2.93579i) q^{29} +(0.166636 - 0.0404253i) q^{30} +(5.95083 - 0.283473i) q^{31} +(-3.55203 - 0.339178i) q^{32} +(2.17785 + 2.07658i) q^{33} +(-3.56719 + 4.11676i) q^{34} +(0.186528 + 0.0458918i) q^{35} +(3.43278 - 1.00796i) q^{36} +(-0.156240 - 0.111258i) q^{37} +(-0.296723 - 6.22898i) q^{38} +(0.376303 - 0.358804i) q^{39} +(0.212649 - 0.167229i) q^{40} +(-6.38500 - 2.91593i) q^{41} +(6.13173 + 1.20241i) q^{42} +(-0.950097 + 1.47838i) q^{43} +(10.1739 + 3.52121i) q^{44} +(0.0363018 - 0.0628765i) q^{45} +(-8.49054 - 7.49653i) q^{46} +(10.8676 - 6.27443i) q^{47} +(1.24288 - 1.07696i) q^{48} +(5.47422 + 4.36268i) q^{49} +(-1.67876 + 11.6761i) q^{50} +(0.219245 + 2.29604i) q^{51} +(0.691371 - 1.72696i) q^{52} +(-6.14461 - 6.44428i) q^{53} +(1.08220 - 2.09918i) q^{54} +(0.198734 - 0.0907589i) q^{55} +(9.58791 - 2.29313i) q^{56} +(-1.99553 - 1.72914i) q^{57} +(-6.87822 - 1.32567i) q^{58} +(11.5568 + 2.80365i) q^{59} +(0.0246912 - 0.258578i) q^{60} +(-7.81975 - 4.03136i) q^{61} +(3.96401 - 13.5002i) q^{62} +(2.16013 - 1.52770i) q^{63} +(-4.86708 + 10.6574i) q^{64} +(-0.0140302 - 0.0350458i) q^{65} +(6.31682 - 3.25655i) q^{66} +(0.126200 + 0.654786i) q^{67} +(4.12596 + 7.14637i) q^{68} +(-4.77815 + 0.411437i) q^{69} +(0.246505 - 0.380850i) q^{70} +(-6.65067 - 7.67529i) q^{71} +(0.177295 - 3.72187i) q^{72} +(3.53569 - 4.49600i) q^{73} +(-0.368995 + 0.262760i) q^{74} +(3.08754 + 3.92612i) q^{75} +(-9.06416 - 2.66148i) q^{76} +(7.96152 + 0.0257966i) q^{77} +(-0.510115 - 1.11700i) q^{78} +(-2.46376 + 2.58392i) q^{79} +(-0.0390523 - 0.112834i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-11.4399 + 11.9978i) q^{82} +(-3.21651 - 7.04318i) q^{83} +(4.75940 - 8.18217i) q^{84} +(0.160675 + 0.0471786i) q^{85} +(2.56559 + 3.26241i) q^{86} +(-2.41602 + 1.72044i) q^{87} +(6.93112 - 8.81364i) q^{88} +(0.152490 - 3.20116i) q^{89} +(-0.112288 - 0.129588i) q^{90} +(0.0699079 - 1.37387i) q^{91} +(-14.9385 + 8.44042i) q^{92} +(-2.97879 - 5.15941i) q^{93} +(-5.60881 - 29.1013i) q^{94} +(-0.170396 + 0.0878455i) q^{95} +(1.32616 + 3.31259i) q^{96} +(-2.85016 + 6.24099i) q^{97} +(13.9652 - 8.84757i) q^{98} +(0.847787 - 2.88730i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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