LMFDB - Embedded newform 930.2.bk.a.47.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(47,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 5, 4]))

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

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

chi := DirichletCharacter("930.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bk (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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$64$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			47.3
Character	$\chi$	$=$	930.47
Dual form			930.2.bk.a.653.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 + 0.987688i) q^{2} +(-1.69850 + 0.339248i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.78466 - 1.34721i) q^{5} +(-0.0693673 - 1.73066i) q^{6} +(-0.684621 + 0.348832i) q^{7} +(0.453990 - 0.891007i) q^{8} +(2.76982 - 1.15243i) q^{9} +O(q^{10})$	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.69850 + 0.339248i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.78466 - 1.34721i) q^{5} +(-0.0693673 - 1.73066i) q^{6} +(-0.684621 + 0.348832i) q^{7} +(0.453990 - 0.891007i) q^{8} +(2.76982 - 1.15243i) q^{9} +(1.60981 - 1.55194i) q^{10} +(-4.59667 - 1.49355i) q^{11} +(1.72021 + 0.202222i) q^{12} +(-5.56518 + 0.881438i) q^{13} +(-0.237439 - 0.730762i) q^{14} +(3.48829 + 1.68280i) q^{15} +(0.809017 + 0.587785i) q^{16} +(3.90598 + 1.99019i) q^{17} +(0.704944 + 2.91600i) q^{18} +(0.0777901 + 0.107069i) q^{19} +(1.28100 + 1.83277i) q^{20} +(1.04449 - 0.824749i) q^{21} +(2.19424 - 4.30644i) q^{22} +(1.94929 - 3.82570i) q^{23} +(-0.468832 + 1.66739i) q^{24} +(1.37004 + 4.80864i) q^{25} -5.63455i q^{26} +(-4.31359 + 2.89706i) q^{27} +(0.758909 - 0.120199i) q^{28} +(6.58677 - 4.78557i) q^{29} +(-2.20777 + 3.18210i) q^{30} +(5.38214 - 1.42567i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(8.31414 + 0.977384i) q^{33} +(-2.57672 + 3.54655i) q^{34} +(1.69177 + 0.299783i) q^{35} +(-2.99038 + 0.240103i) q^{36} +(5.72542 + 5.72542i) q^{37} +(-0.117920 + 0.0600831i) q^{38} +(9.15345 - 3.38510i) q^{39} +(-2.01059 + 0.978524i) q^{40} +(1.88574 + 2.59550i) q^{41} +(0.651200 + 1.16065i) q^{42} +(-0.891985 + 5.63177i) q^{43} +(3.91016 + 2.84090i) q^{44} +(-6.49576 - 1.67484i) q^{45} +(3.47366 + 2.52376i) q^{46} +(-6.28093 + 0.994802i) q^{47} +(-1.57352 - 0.723897i) q^{48} +(-3.76747 + 5.18548i) q^{49} +(-4.96376 + 0.600936i) q^{50} +(-7.30948 - 2.05525i) q^{51} +(5.56518 + 0.881438i) q^{52} +(-0.625425 + 1.22747i) q^{53} +(-2.18660 - 4.71368i) q^{54} +(6.19138 + 8.85817i) q^{55} +0.768368i q^{56} +(-0.168450 - 0.155467i) q^{57} +(3.69625 + 7.25430i) q^{58} +(-6.74211 - 4.89843i) q^{59} +(-2.79755 - 2.67838i) q^{60} -4.45748 q^{61} +(0.566163 + 5.53890i) q^{62} +(-1.49427 + 1.75518i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(11.1195 + 5.92441i) q^{65} +(-2.26597 + 8.05889i) q^{66} +(5.06901 + 5.06901i) q^{67} +(-3.09980 - 3.09980i) q^{68} +(-2.01301 + 7.15925i) q^{69} +(-0.560743 + 1.62404i) q^{70} +(7.17645 - 2.33177i) q^{71} +(0.230651 - 2.99112i) q^{72} +(6.59033 + 12.9342i) q^{73} +(-6.55058 + 4.75927i) q^{74} +(-3.95834 - 7.70270i) q^{75} +(-0.0408967 - 0.125867i) q^{76} +(3.66798 - 0.580951i) q^{77} +(1.91151 + 9.57030i) q^{78} +(1.52790 - 0.496443i) q^{79} +(-0.651951 - 2.13892i) q^{80} +(6.34382 - 6.38404i) q^{81} +(-2.85854 + 1.45650i) q^{82} +(12.5914 + 1.99428i) q^{83} +(-1.24823 + 0.461617i) q^{84} +(-4.28964 - 8.81400i) q^{85} +(-5.42290 - 1.76201i) q^{86} +(-9.56414 + 10.3628i) q^{87} +(-3.41761 + 3.41761i) q^{88} +(-0.0503590 + 0.154989i) q^{89} +(2.67038 - 6.15378i) q^{90} +(3.50257 - 2.54476i) q^{91} +(-3.03609 + 3.03609i) q^{92} +(-8.65793 + 4.24738i) q^{93} -6.35923i q^{94} +(0.00541541 - 0.295882i) q^{95} +(0.961138 - 1.44091i) q^{96} +(2.11484 - 1.07756i) q^{97} +(-4.53228 - 4.53228i) q^{98} +(-14.4532 + 1.16047i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q + 8 q^{3} - 12 q^{7}+O(q^{10}) $ 512 * q + 8 * q^3 - 12 * q^7	$ 512 q + 8 q^{3} - 12 q^{7} - 8 q^{10} - 8 q^{12} + 8 q^{15} + 128 q^{16} + 28 q^{22} + 32 q^{25} + 44 q^{27} + 8 q^{28} + 24 q^{30} + 8 q^{31} + 28 q^{33} + 176 q^{37} + 24 q^{42} - 40 q^{45} - 24 q^{46} + 12 q^{48} - 16 q^{51} - 40 q^{55} + 40 q^{57} + 56 q^{58} + 12 q^{60} - 32 q^{61} - 224 q^{63} + 32 q^{66} + 48 q^{67} + 24 q^{70} + 40 q^{73} - 32 q^{75} + 48 q^{76} - 76 q^{78} - 96 q^{81} + 24 q^{85} - 80 q^{87} - 72 q^{88} + 16 q^{90} + 80 q^{91} - 168 q^{93} - 112 q^{97}+O(q^{100}) $ 512 * q + 8 * q^3 - 12 * q^7 - 8 * q^10 - 8 * q^12 + 8 * q^15 + 128 * q^16 + 28 * q^22 + 32 * q^25 + 44 * q^27 + 8 * q^28 + 24 * q^30 + 8 * q^31 + 28 * q^33 + 176 * q^37 + 24 * q^42 - 40 * q^45 - 24 * q^46 + 12 * q^48 - 16 * q^51 - 40 * q^55 + 40 * q^57 + 56 * q^58 + 12 * q^60 - 32 * q^61 - 224 * q^63 + 32 * q^66 + 48 * q^67 + 24 * q^70 + 40 * q^73 - 32 * q^75 + 48 * q^76 - 76 * q^78 - 96 * q^81 + 24 * q^85 - 80 * q^87 - 72 * q^88 + 16 * q^90 + 80 * q^91 - 168 * q^93 - 112 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$3$	−1.69850	+	0.339248i	−0.980631	+	0.195865i
$3$	−1.69850	+	0.339248i	−0.980631	+	0.195865i
$4$	−0.951057	−	0.309017i	−0.475528	−	0.154508i
$5$	−1.78466	−	1.34721i	−0.798125	−	0.602491i
$5$	−1.78466	−	1.34721i	−0.798125	−	0.602491i
$6$	−0.0693673	−	1.73066i	−0.0283191	−	0.706539i
$7$	−0.684621	+	0.348832i	−0.258763	+	0.131846i	−0.578560	−	0.815640i	$-0.696385\pi$
$7$	−0.684621	+	0.348832i	−0.258763	+	0.131846i	0.319797	+	0.947486i	$0.396385\pi$
$8$	0.453990	−	0.891007i	0.160510	−	0.315018i
$9$	2.76982	−	1.15243i	0.923274	−	0.384143i
$10$	1.60981	−	1.55194i	0.509066	−	0.490766i
$11$	−4.59667	−	1.49355i	−1.38595	−	0.450322i	−0.481329	−	0.876540i	$-0.659846\pi$
$11$	−4.59667	−	1.49355i	−1.38595	−	0.450322i	−0.904620	+	0.426218i	$0.859846\pi$
$12$	1.72021	+	0.202222i	0.496581	+	0.0583764i
$13$	−5.56518	+	0.881438i	−1.54350	+	0.244467i	−0.869377	−	0.494149i	$-0.835480\pi$
$13$	−5.56518	+	0.881438i	−1.54350	+	0.244467i	−0.674126	+	0.738616i	$0.735480\pi$
$14$	−0.237439	−	0.730762i	−0.0634582	−	0.195304i
$15$	3.48829	+	1.68280i	0.900673	+	0.434497i
$16$	0.809017	+	0.587785i	0.202254	+	0.146946i
$17$	3.90598	+	1.99019i	0.947339	+	0.482693i	0.858194	−	0.513326i	$-0.171587\pi$
$17$	3.90598	+	1.99019i	0.947339	+	0.482693i	0.0891447	+	0.996019i	$0.471587\pi$
$18$	0.704944	+	2.91600i	0.166157	+	0.687308i
$19$	0.0777901	+	0.107069i	0.0178463	+	0.0245633i	0.817847	−	0.575436i	$-0.195168\pi$
$19$	0.0777901	+	0.107069i	0.0178463	+	0.0245633i	−0.800001	+	0.599999i	$0.795168\pi$
$20$	1.28100	+	1.83277i	0.286441	+	0.409819i
$21$	1.04449	−	0.824749i	0.227926	−	0.179975i
$22$	2.19424	−	4.30644i	0.467813	−	0.918136i
$23$	1.94929	−	3.82570i	0.406455	−	0.797713i	−0.593519	−	0.804820i	$-0.702262\pi$
$23$	1.94929	−	3.82570i	0.406455	−	0.797713i	0.999975	+	0.00710618i	$0.00226199\pi$
$24$	−0.468832	+	1.66739i	−0.0956998	+	0.340355i
$25$	1.37004	+	4.80864i	0.274008	+	0.961727i
$26$		−	5.63455i		−	1.10503i
$27$	−4.31359	+	2.89706i	−0.830151	+	0.557539i
$28$	0.758909	−	0.120199i	0.143420	−	0.0227155i
$29$	6.58677	−	4.78557i	1.22313	−	0.888657i	0.226776	−	0.973947i	$-0.427182\pi$
$29$	6.58677	−	4.78557i	1.22313	−	0.888657i	0.996356	+	0.0852898i	$0.0271816\pi$
$30$	−2.20777	+	3.18210i	−0.403082	+	0.580969i
$31$	5.38214	−	1.42567i	0.966662	−	0.256058i
$31$	5.38214	−	1.42567i	0.966662	−	0.256058i
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	8.31414	+	0.977384i	1.44731	+	0.170141i
$34$	−2.57672	+	3.54655i	−0.441904	+	0.608229i
$35$	1.69177	+	0.299783i	0.285961	+	0.0506725i
$36$	−2.99038	+	0.240103i	−0.498396	+	0.0400171i
$37$	5.72542	+	5.72542i	0.941253	+	0.941253i	0.998368	−	0.0571150i	$-0.0181902\pi$
$37$	5.72542	+	5.72542i	0.941253	+	0.941253i	−0.0571150	+	0.998368i	$0.518190\pi$
$38$	−0.117920	+	0.0600831i	−0.0191291	+	0.00974677i
$39$	9.15345	−	3.38510i	1.46572	−	0.542050i
$40$	−2.01059	+	0.978524i	−0.317903	+	0.154718i
$41$	1.88574	+	2.59550i	0.294503	+	0.405349i	0.930470	−	0.366367i	$-0.119399\pi$
$41$	1.88574	+	2.59550i	0.294503	+	0.405349i	−0.635967	+	0.771716i	$0.719399\pi$
$42$	0.651200	+	1.16065i	0.100482	+	0.179092i
$43$	−0.891985	+	5.63177i	−0.136027	+	0.858838i	0.821440	+	0.570294i	$0.193171\pi$
$43$	−0.891985	+	5.63177i	−0.136027	+	0.858838i	−0.957467	+	0.288543i	$0.906829\pi$
$44$	3.91016	+	2.84090i	0.589479	+	0.428282i
$45$	−6.49576	−	1.67484i	−0.968331	−	0.249671i
$46$	3.47366	+	2.52376i	0.512164	+	0.372109i
$47$	−6.28093	+	0.994802i	−0.916168	+	0.145107i	−0.596676	−	0.802482i	$-0.703512\pi$
$47$	−6.28093	+	0.994802i	−0.916168	+	0.145107i	−0.319492	+	0.947589i	$0.603512\pi$
$48$	−1.57352	−	0.723897i	−0.227118	−	0.104486i
$49$	−3.76747	+	5.18548i	−0.538211	+	0.740783i
$50$	−4.96376	+	0.600936i	−0.701981	+	0.0849852i
$51$	−7.30948	−	2.05525i	−1.02353	−	0.287793i
$52$	5.56518	+	0.881438i	0.771752	+	0.122233i
$53$	−0.625425	+	1.22747i	−0.0859088	+	0.168605i	−0.929964	−	0.367651i	$-0.880162\pi$
$53$	−0.625425	+	1.22747i	−0.0859088	+	0.168605i	0.844055	+	0.536257i	$0.180162\pi$
$54$	−2.18660	−	4.71368i	−0.297558	−	0.641451i
$55$	6.19138	+	8.85817i	0.834846	+	1.19444i
$56$			0.768368i			0.102678i
$57$	−0.168450	−	0.155467i	−0.0223117	−	0.0205921i
$58$	3.69625	+	7.25430i	0.485341	+	0.952536i
$59$	−6.74211	−	4.89843i	−0.877748	−	0.637721i	0.0549065	−	0.998492i	$-0.482514\pi$
$59$	−6.74211	−	4.89843i	−0.877748	−	0.637721i	−0.932655	+	0.360770i	$0.882514\pi$
$60$	−2.79755	−	2.67838i	−0.361162	−	0.345777i
$61$	−4.45748			−0.570722			−0.285361	−	0.958420i	$-0.592113\pi$
$61$	−4.45748			−0.570722			−0.285361	+	0.958420i	$0.592113\pi$
$62$	0.566163	+	5.53890i	0.0719027	+	0.703442i
$63$	−1.49427	+	1.75518i	−0.188261	+	0.221132i
$64$	−0.587785	−	0.809017i	−0.0734732	−	0.101127i
$65$	11.1195	+	5.92441i	1.37920	+	0.734832i
$66$	−2.26597	+	8.05889i	−0.278922	+	0.991980i
$67$	5.06901	+	5.06901i	0.619279	+	0.619279i	0.945346	−	0.326068i	$-0.105724\pi$
$67$	5.06901	+	5.06901i	0.619279	+	0.619279i	−0.326068	+	0.945346i	$0.605724\pi$
$68$	−3.09980	−	3.09980i	−0.375906	−	0.375906i
$69$	−2.01301	+	7.15925i	−0.242338	+	0.861873i
$70$	−0.560743	+	1.62404i	−0.0670216	+	0.194110i
$71$	7.17645	−	2.33177i	0.851688	−	0.276730i	0.149535	−	0.988756i	$-0.452222\pi$
$71$	7.17645	−	2.33177i	0.851688	−	0.276730i	0.702153	+	0.712026i	$0.252222\pi$
$72$	0.230651	−	2.99112i	0.0271825	−	0.352507i
$73$	6.59033	+	12.9342i	0.771339	+	1.51384i	0.855740	+	0.517407i	$0.173102\pi$
$73$	6.59033	+	12.9342i	0.771339	+	1.51384i	−0.0844005	+	0.996432i	$0.526898\pi$
$74$	−6.55058	+	4.75927i	−0.761489	+	0.553254i
$75$	−3.95834	−	7.70270i	−0.457070	−	0.889431i
$76$	−0.0408967	−	0.125867i	−0.00469117	−	0.0144379i
$77$	3.66798	−	0.580951i	0.418005	−	0.0662055i
$78$	1.91151	+	9.57030i	0.216436	+	1.08362i
$79$	1.52790	−	0.496443i	0.171902	−	0.0558543i	−0.221802	−	0.975092i	$-0.571194\pi$
$79$	1.52790	−	0.496443i	0.171902	−	0.0558543i	0.393703	+	0.919238i	$0.371194\pi$
$80$	−0.651951	−	2.13892i	−0.0728903	−	0.239138i
$81$	6.34382	−	6.38404i	0.704869	−	0.709338i
$82$	−2.85854	+	1.45650i	−0.315673	+	0.160843i
$83$	12.5914	+	1.99428i	1.38208	+	0.218901i	0.802812	−	0.596233i	$-0.203336\pi$
$83$	12.5914	+	1.99428i	1.38208	+	0.218901i	0.579273	+	0.815134i	$0.303336\pi$
$84$	−1.24823	+	0.461617i	−0.136193	+	0.0503666i
$85$	−4.28964	−	8.81400i	−0.465276	−	0.956013i
$86$	−5.42290	−	1.76201i	−0.584766	−	0.190002i
$87$	−9.56414	+	10.3628i	−1.02538	+	1.11101i
$88$	−3.41761	+	3.41761i	−0.364318	+	0.364318i
$89$	−0.0503590	+	0.154989i	−0.00533805	+	0.0164288i	−0.953690	−	0.300791i	$-0.902749\pi$
$89$	−0.0503590	+	0.154989i	−0.00533805	+	0.0164288i	0.948352	+	0.317220i	$0.102749\pi$
$90$	2.67038	−	6.15378i	0.281483	−	0.648666i
$91$	3.50257	−	2.54476i	0.367169	−	0.266764i
$92$	−3.03609	+	3.03609i	−0.316535	+	0.316535i
$93$	−8.65793	+	4.24738i	−0.897785	+	0.440433i
$94$		−	6.35923i		−	0.655904i
$95$	0.00541541	−	0.295882i	0.000555609	−	0.0303568i
$96$	0.961138	−	1.44091i	0.0980957	−	0.147062i
$97$	2.11484	−	1.07756i	0.214729	−	0.109410i	−0.343318	−	0.939219i	$-0.611551\pi$
$97$	2.11484	−	1.07756i	0.214729	−	0.109410i	0.558047	+	0.829809i	$0.311551\pi$
$98$	−4.53228	−	4.53228i	−0.457829	−	0.457829i
$99$	−14.4532	+	1.16047i	−1.45260	+	0.116632i
$100$	0.182965	−	4.99665i	0.0182965	−	0.499665i
$101$	12.4543	−	4.04666i	1.23925	−	0.402658i	0.385195	−	0.922835i	$-0.374134\pi$
$101$	12.4543	−	4.04666i	1.23925	−	0.402658i	0.854058	+	0.520178i	$0.174134\pi$
$102$	3.17341	−	6.89798i	0.314214	−	0.683002i
$103$	3.02140	−	19.0764i	0.297707	−	1.87965i	−0.154887	−	0.987932i	$-0.549501\pi$
$103$	3.02140	−	19.0764i	0.297707	−	1.87965i	0.452594	−	0.891717i	$-0.350499\pi$
$104$	−1.74117	+	5.35878i	−0.170736	+	0.525471i
$105$	−2.97517	+	0.0647481i	−0.290347	+	0.00631876i
$106$	−1.11452	−	0.809743i	−0.108251	−	0.0786492i
$107$	−12.6072	−	6.42367i	−1.21878	−	0.620999i	−0.278184	−	0.960528i	$-0.589733\pi$
$107$	−12.6072	−	6.42367i	−1.21878	−	0.620999i	−0.940596	+	0.339528i	$0.889733\pi$
$108$	4.99771	−	1.42229i	0.480905	−	0.136860i
$109$	0.156349	−	0.215196i	0.0149755	−	0.0206121i	−0.801464	−	0.598044i	$-0.795945\pi$
$109$	0.156349	−	0.215196i	0.0149755	−	0.0206121i	0.816439	+	0.577432i	$0.195945\pi$
$110$	−9.71766	+	4.72943i	−0.926543	+	0.450934i
$111$	−11.6670	−	7.78230i	−1.10738	−	0.738663i
$112$	−0.758909	−	0.120199i	−0.0717101	−	0.0113578i
$113$	11.1394	−	5.67583i	1.04791	−	0.533937i	0.156757	−	0.987637i	$-0.449896\pi$
$113$	11.1394	−	5.67583i	1.04791	−	0.533937i	0.891155	+	0.453700i	$0.149896\pi$
$114$	0.179904	−	0.142055i	0.0168495	−	0.0133047i
$115$	−8.63285	+	4.20147i	−0.805018	+	0.391789i
$116$	−7.74321	+	2.51592i	−0.718939	+	0.233597i
$117$	−14.3988	+	8.85490i	−1.33117	+	0.818635i
$118$	5.89282	−	5.89282i	0.542478	−	0.542478i
$119$	−3.36836			−0.308777
$120$	3.08304	−	2.34412i	0.281441	−	0.213988i
$121$	9.99953	+	7.26508i	0.909048	+	0.660462i
$122$	0.697303	−	4.40260i	0.0631309	−	0.398593i
$123$	−4.08346	−	3.76873i	−0.368193	−	0.339815i
$124$	−5.55928	−	0.307283i	−0.499238	−	0.0275948i
$125$	4.03319	−	10.4275i	0.360740	−	0.932666i
$126$	−1.49981	−	1.75045i	−0.133614	−	0.155942i
$127$	1.83524	+	11.5873i	0.162851	+	1.02820i	0.924769	+	0.380529i	$0.124258\pi$
$127$	1.83524	+	11.5873i	0.162851	+	1.02820i	−0.761918	+	0.647674i	$0.775742\pi$
$128$	0.891007	−	0.453990i	0.0787546	−	0.0401275i
$129$	−0.395531	−	9.86819i	−0.0348245	−	0.868845i
$130$	−7.59093	+	10.0558i	−0.665769	+	0.881949i
$131$	−13.4586	−	4.37297i	−1.17589	−	0.382069i	−0.345049	−	0.938585i	$-0.612138\pi$
$131$	−13.4586	−	4.37297i	−1.17589	−	0.382069i	−0.830837	+	0.556516i	$0.812138\pi$
$132$	−7.60519	−	3.49876i	−0.661947	−	0.304528i
$133$	−0.0906058	−	0.0461660i	−0.00785652	−	0.00400310i
$134$	−5.79957	+	4.21364i	−0.501007	+	0.364003i
$135$	11.6013	+	0.641045i	0.998477	+	0.0551724i
$136$	3.54655	−	2.57672i	0.304114	−	0.220952i
$137$	−2.57193	+	0.407353i	−0.219735	+	0.0348025i	−0.265331	−	0.964157i	$-0.585481\pi$
$137$	−2.57193	+	0.407353i	−0.219735	+	0.0348025i	0.0455963	+	0.998960i	$0.485481\pi$
$138$	−6.75621	−	3.10818i	−0.575127	−	0.264586i
$139$	3.12087	−	4.29552i	0.264709	−	0.364341i	−0.655886	−	0.754860i	$-0.727705\pi$
$139$	3.12087	−	4.29552i	0.264709	−	0.364341i	0.920595	+	0.390519i	$0.127705\pi$
$140$	−1.51633	−	0.807895i	−0.128153	−	0.0682796i
$141$	10.3307	−	3.82047i	0.870002	−	0.321742i
$142$	1.18042	+	7.45287i	0.0990585	+	0.625431i
$143$	26.8978	+	4.26019i	2.24931	+	0.356255i
$144$	2.91821	+	0.695726i	0.243184	+	0.0579772i
$145$	−18.2023	−	0.333150i	−1.51162	−	0.0276666i
$146$	−13.8060	+	4.48583i	−1.14259	+	0.371250i
$147$	4.63990	−	10.0857i	0.382692	−	0.831852i
$148$	−3.67594	−	7.21445i	−0.302161	−	0.593024i
$149$	21.8017			1.78606			0.893032	−	0.449993i	$-0.148573\pi$
$149$	21.8017			1.78606			0.893032	+	0.449993i	$0.148573\pi$
$150$	8.22709	−	2.70464i	0.671739	−	0.220833i
$151$	2.13830	−	6.58102i	0.174013	−	0.535556i	−0.825574	−	0.564293i	$-0.809149\pi$
$151$	2.13830	−	6.58102i	0.174013	−	0.535556i	0.999587	+	0.0287374i	$0.00914866\pi$
$152$	0.130715	−	0.0207032i	0.0106024	−	0.00167925i
$153$	13.1124	+	1.01113i	1.06008	+	0.0817446i
$154$			3.71370i			0.299258i
$155$	−11.5260	−	4.70655i	−0.925790	−	0.378039i
$156$	−9.75150	+	0.390853i	−0.780745	+	0.0312933i
$157$	−8.45115	−	1.33853i	−0.674475	−	0.106826i	−0.190204	−	0.981745i	$-0.560915\pi$
$157$	−8.45115	−	1.33853i	−0.674475	−	0.106826i	−0.484271	+	0.874918i	$0.660915\pi$
$158$	0.251316	+	1.58675i	0.0199936	+	0.126235i
$159$	0.645870	−	2.29703i	0.0512209	−	0.182166i
$160$	2.21457	−	0.309324i	0.175077	−	0.0244542i
$161$			3.29913i			0.260008i
$162$	5.31305	+	7.26440i	0.417433	+	0.570745i
$163$	12.2115	+	6.22209i	0.956482	+	0.487352i	0.861294	−	0.508107i	$-0.169655\pi$
$163$	12.2115	+	6.22209i	0.956482	+	0.487352i	0.0951882	+	0.995459i	$0.469655\pi$
$164$	−0.991393	−	3.05119i	−0.0774148	−	0.238258i
$165$	−13.5212	−	12.9452i	−1.05262	−	1.00778i
$166$	−3.93946	+	12.1244i	−0.305761	+	0.941036i
$167$	−3.04483	+	19.2243i	−0.235616	+	1.48762i	0.532018	+	0.846733i	$0.321434\pi$
$167$	−3.04483	+	19.2243i	−0.235616	+	1.48762i	−0.767634	+	0.640888i	$0.778566\pi$
$168$	−0.260668	−	1.30508i	−0.0201110	−	0.100689i
$169$	17.8306	−	5.79350i	1.37158	−	0.445654i
$170$	9.37654	−	2.85801i	0.719148	−	0.219199i
$171$	0.338854	+	0.206914i	0.0259128	+	0.0158231i
$172$	2.58864	−	5.08050i	0.197382	−	0.387384i
$173$	2.82786	+	17.8544i	0.214998	+	1.35744i	0.825040	+	0.565074i	$0.191152\pi$
$173$	2.82786	+	17.8544i	0.214998	+	1.35744i	−0.610042	+	0.792369i	$0.708848\pi$
$174$	−8.73910	−	11.0675i	−0.662509	−	0.839025i
$175$	−2.61537	−	2.81418i	−0.197703	−	0.212732i
$176$	−2.84090	−	3.91016i	−0.214141	−	0.294740i
$177$	13.1133	+	6.03275i	0.985654	+	0.453449i
$178$	−0.145203	−	0.0739847i	−0.0108834	−	0.00554539i
$179$	0.187841	−	0.578115i	0.0140399	−	0.0432103i	−0.943791	−	0.330542i	$-0.892768\pi$
$179$	0.187841	−	0.578115i	0.0140399	−	0.0432103i	0.957831	+	0.287332i	$0.0927683\pi$
$180$	5.66028	+	3.60017i	0.421892	+	0.268341i
$181$	20.7290			1.54077			0.770385	−	0.637578i	$-0.220064\pi$
$181$	20.7290			1.54077			0.770385	+	0.637578i	$0.220064\pi$
$182$	1.96551	+	3.85753i	0.145693	+	0.285939i
$183$	7.57104	−	1.51219i	0.559667	−	0.111784i
$184$	−2.52376	−	3.47366i	−0.186054	−	0.256082i
$185$	−2.50459	−	17.9313i	−0.184141	−	1.31833i
$186$	−2.84069	−	9.21577i	−0.208290	−	0.675733i
$187$	−14.9820	−	14.9820i	−1.09560	−	1.09560i
$188$	6.28093	+	0.994802i	0.458084	+	0.0725534i
$189$	1.94259	−	3.48811i	0.141302	−	0.253722i
$190$	0.291392	+	0.0516348i	0.0211398	+	0.00374598i
$191$			2.20747i			0.159727i	0.996806	+	0.0798636i	$0.0254485\pi$
$191$			2.20747i			0.159727i	−0.996806	+	0.0798636i	$0.974552\pi$
$192$	1.27281	+	1.17471i	0.0918573	+	0.0847776i
$193$	−11.3129	−	22.2028i	−0.814319	−	1.59819i	−0.801290	−	0.598276i	$-0.795853\pi$
$193$	−11.3129	−	22.2028i	−0.814319	−	1.59819i	−0.0130291	−	0.999915i	$-0.504147\pi$
$194$	0.733463	+	2.25737i	0.0526596	+	0.162070i
$195$	−20.8963	−	6.29037i	−1.49641	−	0.450462i
$196$	5.18548	−	3.76747i	0.370392	−	0.269105i
$197$	5.02552	+	9.86315i	0.358054	+	0.702720i	0.997830	−	0.0658410i	$-0.0209730\pi$
$197$	5.02552	+	9.86315i	0.358054	+	0.702720i	−0.639776	+	0.768561i	$0.720973\pi$
$198$	1.11479	−	14.4568i	0.0792248	−	1.02740i
$199$	−10.1335	+	13.9475i	−0.718342	+	0.988712i	0.281236	+	0.959639i	$0.409256\pi$
$199$	−10.1335	+	13.9475i	−0.718342	+	0.988712i	−0.999577	+	0.0290737i	$0.990744\pi$
$200$	4.90651	+	0.962361i	0.346943	+	0.0680492i
$201$	−10.3294	−	6.89008i	−0.728579	−	0.485989i
$202$	2.04855	+	12.9340i	0.144136	+	0.910036i
$203$	−2.84008	+	5.57397i	−0.199335	+	0.391216i
$204$	6.31662	+	4.21342i	0.442252	+	0.294998i
$205$	0.131277	−	7.17259i	0.00916879	−	0.500955i
$206$	18.3688	+	5.96840i	1.27982	+	0.415838i
$207$	0.990344	−	12.8429i	0.0688337	−	0.892645i
$208$	−5.02042	−	2.55803i	−0.348104	−	0.177368i
$209$	−0.197663	−	0.608344i	−0.0136726	−	0.0420800i
$210$	0.401469	−	2.94867i	0.0277040	−	0.203478i
$211$	−8.59709			−0.591848			−0.295924	−	0.955212i	$-0.595627\pi$
$211$	−8.59709			−0.591848			−0.295924	+	0.955212i	$0.595627\pi$
$212$	0.974123	−	0.974123i	0.0669030	−	0.0669030i
$213$	−11.3982	+	6.39512i	−0.780990	+	0.438186i
$214$	8.31678	−	11.4471i	0.568523	−	0.782505i
$215$	9.17909	−	8.84912i	0.626009	−	0.603505i
$216$	0.622970	+	5.15867i	0.0423878	+	0.351003i
$217$	−3.18741	+	2.85351i	−0.216376	+	0.193709i
$218$	0.188088	+	0.188088i	0.0127390	+	0.0127390i
$219$	−15.5816	−	19.7331i	−1.05291	−	1.33344i
$220$	−3.15103	−	10.3379i	−0.212442	−	0.696979i
$221$	−23.4917	−	7.63292i	−1.58022	−	0.513445i
$222$	9.51160	−	10.3059i	0.638377	−	0.691688i
$223$	3.77152	−	3.77152i	0.252560	−	0.252560i	−0.569460	−	0.822019i	$-0.692848\pi$
$223$	3.77152	−	3.77152i	0.252560	−	0.252560i	0.822019	+	0.569460i	$0.192848\pi$
$224$	0.237439	−	0.730762i	0.0158646	−	0.0488261i
$225$	9.33638	+	11.7402i	0.622425	+	0.782679i
$226$	3.86336	+	11.8902i	0.256987	+	0.790924i
$227$	−0.747541	+	4.71979i	−0.0496161	+	0.313264i	0.950382	+	0.311087i	$0.100693\pi$
$227$	−0.747541	+	4.71979i	−0.0496161	+	0.313264i	−0.999998	+	0.00217691i	$0.999307\pi$
$228$	0.112163	+	0.199911i	0.00742819	+	0.0132394i
$229$	−0.653818	−	0.899903i	−0.0432055	−	0.0594672i	0.786868	−	0.617122i	$-0.211701\pi$
$229$	−0.653818	−	0.899903i	−0.0432055	−	0.0594672i	−0.830073	+	0.557655i	$0.811701\pi$
$230$	−2.79927	−	9.18383i	−0.184578	−	0.605564i
$231$	−6.03298	+	2.23110i	−0.396941	+	0.146796i
$232$	−1.27364	−	8.04145i	−0.0836186	−	0.527947i
$233$	−1.94411	−	12.2746i	−0.127363	−	0.804137i	−0.965828	−	0.259182i	$-0.916547\pi$
$233$	−1.94411	−	12.2746i	−0.127363	−	0.804137i	0.838466	−	0.544954i	$-0.183453\pi$
$234$	−6.49342	−	15.6067i	−0.424488	−	1.02024i
$235$	12.5496	+	6.68636i	0.818643	+	0.436170i
$236$	4.89843	+	6.74211i	0.318861	+	0.438874i
$237$	−2.42672	+	1.36155i	−0.157632	+	0.0884420i
$238$	0.526927	−	3.32689i	0.0341556	−	0.215650i
$239$	0.284303	+	0.874994i	0.0183900	+	0.0565987i	0.959830	−	0.280581i	$-0.0905271\pi$
$239$	0.284303	+	0.874994i	0.0183900	+	0.0565987i	−0.941440	+	0.337180i	$0.890527\pi$
$240$	1.83296	+	3.41178i	0.118317	+	0.220229i
$241$	0.690303	−	2.12454i	0.0444664	−	0.136853i	−0.926359	−	0.376643i	$-0.877078\pi$
$241$	0.690303	−	2.12454i	0.0444664	−	0.136853i	0.970825	+	0.239789i	$0.0770784\pi$
$242$	−8.73991	+	8.73991i	−0.561822	+	0.561822i
$243$	−8.60922	+	12.9954i	−0.552282	+	0.833658i
$244$	4.23932	+	1.37744i	0.271394	+	0.0881814i
$245$	13.7096	−	4.17875i	0.875875	−	0.266971i
$246$	4.36112	−	3.44362i	0.278055	−	0.219557i
$247$	−0.527290	−	0.527290i	−0.0335507	−	0.0335507i
$248$	1.17316	−	5.44276i	0.0744959	−	0.345616i
$249$	−22.0631	+	0.884318i	−1.39819	+	0.0560414i
$250$	9.66822	+	5.61476i	0.611472	+	0.355109i
$251$	4.66481	−	6.42056i	0.294440	−	0.405262i	−0.636010	−	0.771681i	$-0.719416\pi$
$251$	4.66481	−	6.42056i	0.294440	−	0.405262i	0.930450	+	0.366419i	$0.119416\pi$
$252$	1.96352	−	1.20752i	0.123690	−	0.0760665i
$253$	−14.6741	+	14.6741i	−0.922554	+	0.922554i
$254$	−11.7317			−0.736112
$255$	10.2761	+	13.5154i	0.643514	+	0.846364i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	0.248195	+	0.126462i	0.0154820	+	0.00788846i	0.461714	−	0.887029i	$-0.347235\pi$
$257$	0.248195	+	0.126462i	0.0154820	+	0.00788846i	−0.446232	+	0.894917i	$0.647235\pi$
$258$	9.80857	+	1.15306i	0.610655	+	0.0717866i
$259$	−5.91695	−	1.92253i	−0.367661	−	0.119460i
$260$	−8.74448	−	9.07055i	−0.542310	−	0.562531i
$261$	12.7291	−	20.8459i	0.787914	−	1.29033i
$262$	6.42453	−	12.6088i	0.396909	−	0.778977i
$263$	0.345356	+	2.18049i	0.0212956	+	0.134455i	0.996046	−	0.0888442i	$-0.0283173\pi$
$263$	0.345356	+	2.18049i	0.0212956	+	0.134455i	−0.974750	+	0.223299i	$0.928317\pi$
$264$	4.64540	−	6.96423i	0.285905	−	0.428619i
$265$	2.76983	−	1.34803i	0.170149	−	0.0828090i
$266$	0.0597714	−	0.0822683i	0.00366482	−	0.00504420i
$267$	0.0329551	−	0.280334i	0.00201682	−	0.0171561i
$268$	−3.25451	−	6.38733i	−0.198801	−	0.390168i
$269$	−18.5065	+	13.4458i	−1.12836	+	0.819803i	−0.985456	−	0.169933i	$-0.945645\pi$
$269$	−18.5065	+	13.4458i	−1.12836	+	0.819803i	−0.142907	+	0.989736i	$0.545645\pi$
$270$	−2.44799	+	11.3581i	−0.148980	+	0.691234i
$271$	0.493945	+	1.52021i	0.0300050	+	0.0923459i	0.964938	−	0.262480i	$-0.0845403\pi$
$271$	0.493945	+	1.52021i	0.0300050	+	0.0923459i	−0.934933	+	0.354826i	$0.884540\pi$
$272$	1.99019	+	3.90598i	0.120673	+	0.236835i
$273$	−5.08581	+	5.51053i	−0.307807	+	0.333512i
$274$		−	2.60399i		−	0.157313i
$275$	0.884311	−	24.1500i	0.0533260	−	1.45630i
$276$	4.12682	−	6.18680i	0.248405	−	0.372402i
$277$	5.96697	+	0.945075i	0.358521	+	0.0567841i	0.333097	−	0.942893i	$-0.391906\pi$
$277$	5.96697	+	0.945075i	0.358521	+	0.0567841i	0.0254239	+	0.999677i	$0.491906\pi$
$278$	3.75442	+	3.75442i	0.225175	+	0.225175i
$279$	13.2646	−	10.1514i	0.794131	−	0.607747i
$280$	1.03516	−	1.37128i	0.0618624	−	0.0819496i
$281$	−6.93854	−	9.55009i	−0.413919	−	0.569710i	0.550250	−	0.835000i	$-0.314532\pi$
$281$	−6.93854	−	9.55009i	−0.413919	−	0.569710i	−0.964169	+	0.265290i	$0.914532\pi$
$282$	2.15736	+	10.8012i	0.128469	+	0.643200i
$283$	4.02010	+	7.88989i	0.238970	+	0.469005i	0.979079	−	0.203482i	$-0.0652259\pi$
$283$	4.02010	+	7.88989i	0.238970	+	0.469005i	−0.740109	+	0.672487i	$0.765226\pi$
$284$	−7.54577			−0.447759
$285$	0.0911792	+	0.504393i	0.00540099	+	0.0298776i
$286$	−8.41548	+	25.9002i	−0.497618	+	1.53151i
$287$	−2.19641	−	1.11913i	−0.129650	−	0.0660600i
$288$	−1.14367	+	2.77345i	−0.0673914	+	0.163427i
$289$	1.30343	+	1.79402i	0.0766725	+	0.105531i
$290$	3.17652	−	17.9261i	0.186532	−	1.05266i
$291$	−3.22649	+	2.54770i	−0.189140	+	0.149349i
$292$	−2.27087	−	14.3377i	−0.132893	−	0.839051i
$293$	−9.67230	+	18.9830i	−0.565062	+	1.10900i	0.414911	+	0.909862i	$0.363813\pi$
$293$	−9.67230	+	18.9830i	−0.565062	+	1.10900i	−0.979972	+	0.199134i	$0.936187\pi$
$294$	9.23565	+	6.16052i	0.538634	+	0.359289i
$295$	5.43317	+	17.8251i	0.316331	+	1.03782i
$296$	7.70067	−	2.50210i	0.447592	−	0.145432i
$297$	24.1551	−	6.87428i	1.40162	−	0.398886i
$298$	−3.41054	+	21.5333i	−0.197567	+	1.24739i
$299$	−7.47604	+	23.0089i	−0.432351	+	1.33064i
$300$	1.38434	+	8.54889i	0.0799249	+	0.493571i
$301$	−1.35387	−	4.16679i	−0.0780358	−	0.240170i
$302$	6.16550	+	3.14148i	0.354784	+	0.180772i
$303$	−19.7809	+	11.0984i	−1.13638	+	0.637585i
$304$			0.132344i			0.00759047i
$305$	7.95510	+	6.00517i	0.455508	+	0.343855i
$306$	−3.04991	+	12.7928i	−0.174352	+	0.731316i
$307$	−0.589302	−	3.72070i	−0.0336332	−	0.212352i	0.965148	−	0.261704i	$-0.0842844\pi$
$307$	−0.589302	−	3.72070i	−0.0336332	−	0.212352i	−0.998781	+	0.0493521i	$0.984284\pi$
$308$	−3.66798	−	0.580951i	−0.209002	−	0.0331027i
$309$	1.33977	+	33.4262i	0.0762168	+	1.90155i
$310$	6.45167	−	10.6478i	0.366430	−	0.604755i
$311$			24.3021i			1.37804i	0.724740	+	0.689022i	$0.241960\pi$
$311$			24.3021i			1.37804i	−0.724740	+	0.689022i	$0.758040\pi$
$312$	1.13943	−	9.69258i	0.0645075	−	0.548735i
$313$	27.4488	−	4.34746i	1.55150	−	0.245733i	0.678920	−	0.734212i	$-0.262448\pi$
$313$	27.4488	−	4.34746i	1.55150	−	0.245733i	0.872576	+	0.488479i	$0.162448\pi$
$314$	2.64410	−	8.13771i	0.149215	−	0.459238i
$315$	5.03137	−	1.11930i	0.283486	−	0.0630653i
$316$	−1.60652			−0.0903741
$317$	−3.54290	−	6.95333i	−0.198989	−	0.390538i	0.769852	−	0.638223i	$-0.220330\pi$
$317$	−3.54290	−	6.95333i	−0.198989	−	0.390538i	−0.968841	+	0.247685i	$0.920330\pi$
$318$	2.16771	+	0.997253i	0.121559	+	0.0559232i
$319$	−37.4247	+	12.1600i	−2.09538	+	0.680830i
$320$	−0.0409191	+	2.23569i	−0.00228744	+	0.124979i
$321$	23.5925	+	6.63366i	1.31681	+	0.370255i
$322$	−3.25851	−	0.516098i	−0.181590	−	0.0287610i
$323$	0.0907584	+	0.573026i	0.00504993	+	0.0318840i
$324$	−8.00611	+	4.11124i	−0.444784	+	0.228402i
$325$	−11.8630	−	25.5533i	−0.658043	−	1.41744i
$326$	−8.05579	+	11.0878i	−0.446169	+	0.614099i
$327$	−0.192555	+	0.418553i	−0.0106483	+	0.0231460i
$328$	3.16872	−	0.501875i	0.174963	−	0.0277114i
$329$	3.95304	−	2.87205i	0.217938	−	0.158341i
$330$	14.9010	−	11.3297i	0.820274	−	0.623677i
$331$	−16.1848	+	11.7589i	−0.889596	+	0.646329i	−0.935773	−	0.352604i	$-0.885296\pi$
$331$	−16.1848	+	11.7589i	−0.889596	+	0.646329i	0.0461769	+	0.998933i	$0.485296\pi$
$332$	−11.3589	−	5.78763i	−0.623398	−	0.317637i
$333$	22.4565	+	9.26025i	1.23061	+	0.507458i
$334$	−18.5113	−	6.01469i	−1.01289	−	0.329109i
$335$	−2.21744	−	15.8755i	−0.121152	−	0.867372i
$336$	1.32979	−	0.0532996i	0.0725457	−	0.00290773i
$337$	−5.08553	+	2.59121i	−0.277027	+	0.141152i	−0.586984	−	0.809598i	$-0.699685\pi$
$337$	−5.08553	+	2.59121i	−0.277027	+	0.141152i	0.309958	+	0.950750i	$0.399685\pi$
$338$	2.93286	+	18.5173i	0.159526	+	1.00721i
$339$	−16.9949	+	13.4195i	−0.923034	+	0.728845i
$340$	1.35601	+	9.70819i	0.0735399	+	0.526500i
$341$	−26.8693	−	1.48517i	−1.45505	−	0.0804265i
$342$	−0.257375	+	0.302313i	−0.0139173	+	0.0163472i
$343$	1.61183	−	10.1767i	0.0870304	−	0.549488i
$344$	4.61299	+	3.35154i	0.248716	+	0.180703i
$345$	13.2376	−	10.0649i	0.712687	−	0.541876i
$346$	−18.0769			−0.971822
$347$	14.2930	−	14.2930i	0.767288	−	0.767288i	−0.210341	−	0.977628i	$-0.567457\pi$
$347$	14.2930	−	14.2930i	0.767288	−	0.767288i	0.977628	+	0.210341i	$0.0674573\pi$
$348$	12.2983	−	6.90017i	0.659260	−	0.369888i
$349$	34.4726	−	11.2008i	1.84527	−	0.599566i	0.847659	−	0.530542i	$-0.178011\pi$
$349$	34.4726	−	11.2008i	1.84527	−	0.599566i	0.997615	−	0.0690243i	$-0.0219886\pi$
$350$	3.18867	−	2.14293i	0.170441	−	0.114544i
$351$	21.4523	−	19.9248i	1.14504	−	1.06351i
$352$	4.30644	−	2.19424i	0.229534	−	0.116953i
$353$	−29.4463	−	4.66384i	−1.56727	−	0.248231i	−0.688414	−	0.725318i	$-0.741693\pi$
$353$	−29.4463	−	4.66384i	−1.56727	−	0.248231i	−0.878856	+	0.477087i	$0.841693\pi$
$354$	−8.00984	+	12.0081i	−0.425718	+	0.638224i
$355$	−15.9489	−	5.50678i	−0.846481	−	0.292269i
$356$	0.0957886	−	0.131842i	0.00507678	−	0.00698759i
$357$	5.72117	−	1.14271i	0.302796	−	0.0604786i
$358$	0.541612	+	0.275965i	0.0286251	+	0.0145852i
$359$	5.03448	+	3.65777i	0.265710	+	0.193050i	0.712661	−	0.701509i	$-0.247490\pi$
$359$	5.03448	+	3.65777i	0.265710	+	0.193050i	−0.446951	+	0.894559i	$0.647490\pi$
$360$	−4.44131	+	5.02740i	−0.234077	+	0.264967i
$361$	5.86591	−	18.0534i	0.308732	−	0.950180i
$362$	−3.24272	+	20.4737i	−0.170434	+	1.07608i
$363$	−19.4489	−	8.94744i	−1.02080	−	0.469619i
$364$	−4.11751	+	1.33786i	−0.215816	+	0.0701230i
$365$	5.66366	−	31.9618i	0.296449	−	1.67296i
$366$	0.309203	+	7.71439i	0.0161623	+	0.403237i
$367$	−20.4237	−	20.4237i	−1.06611	−	1.06611i	−0.997654	−	0.0684527i	$-0.978194\pi$
$367$	−20.4237	−	20.4237i	−1.06611	−	1.06611i	−0.0684527	−	0.997654i	$-0.521806\pi$
$368$	3.82570	−	1.94929i	0.199428	−	0.101614i
$369$	8.21430	+	5.01589i	0.427619	+	0.261117i
$370$	18.1023	+	0.331320i	0.941095	+	0.0172245i
$371$		−	1.05852i		−	0.0549555i
$372$	9.54669	−	1.36405i	0.494973	−	0.0707229i
$373$	20.5694	−	20.5694i	1.06504	−	1.06504i	0.0673117	−	0.997732i	$-0.478558\pi$
$373$	20.5694	−	20.5694i	1.06504	−	1.06504i	0.997732	−	0.0673117i	$-0.0214422\pi$
$374$	17.1413	−	12.4539i	0.886356	−	0.643975i
$375$	−3.31287	+	19.0794i	−0.171076	+	0.985258i
$376$	−1.96511	+	6.04798i	−0.101343	+	0.311901i
$377$	−32.4384	+	32.4384i	−1.67066	+	1.67066i
$378$	3.14127	+	2.46433i	0.161570	+	0.126752i
$379$	31.8584	+	10.3514i	1.63646	+	0.531717i	0.975743	−	0.218920i	$-0.0702533\pi$
$379$	31.8584	+	10.3514i	1.63646	+	0.531717i	0.660715	+	0.750637i	$0.270253\pi$
$380$	−0.0965828	+	0.279727i	−0.00495459	+	0.0143497i
$381$	−7.04812	−	19.0584i	−0.361086	−	0.976390i
$382$	−2.18030	−	0.345325i	−0.111554	−	0.0176684i
$383$	−2.51803	+	1.28300i	−0.128665	+	0.0655583i	−0.517138	−	0.855902i	$-0.673003\pi$
$383$	−2.51803	+	1.28300i	−0.128665	+	0.0655583i	0.388473	+	0.921460i	$0.373003\pi$
$384$	−1.35936	+	1.07338i	−0.0693696	+	0.0547755i
$385$	−7.32877	−	3.90474i	−0.373509	−	0.199004i
$386$	23.6992	−	7.70032i	1.20626	−	0.391936i
$387$	4.01958	+	16.6270i	0.204327	+	0.845196i
$388$	−2.34431	+	0.371303i	−0.119015	+	0.0188501i
$389$	−1.25378	−	3.85872i	−0.0635689	−	0.195645i	0.914228	−	0.405201i	$-0.132798\pi$
$389$	−1.25378	−	3.85872i	−0.0635689	−	0.195645i	−0.977797	+	0.209556i	$0.932798\pi$
$390$	9.48182	−	19.6550i	0.480130	−	0.995268i
$391$	15.2278	−	11.0636i	0.770102	−	0.559512i
$392$	2.90990	+	5.71100i	0.146972	+	0.288449i
$393$	24.3430	+	2.86169i	1.22794	+	0.144353i
$394$	−10.5279	+	3.42072i	−0.530387	+	0.172333i
$395$	−3.39559	−	1.17242i	−0.170851	−	0.0589906i
$396$	14.1044	+	3.36260i	0.708772	+	0.168977i
$397$	15.0463	+	15.0463i	0.755154	+	0.755154i	0.975436	−	0.220282i	$-0.0706977\pi$
$397$	15.0463	+	15.0463i	0.755154	+	0.755154i	−0.220282	+	0.975436i	$0.570698\pi$
$398$	−12.1906	−	12.1906i	−0.611058	−	0.611058i
$399$	0.169556	+	0.0476751i	0.00848841	+	0.00238674i
$400$	−1.71806	+	4.69556i	−0.0859030	+	0.234778i
$401$	20.9399	+	28.8213i	1.04569	+	1.43927i	0.892488	+	0.451071i	$0.148958\pi$
$401$	20.9399	+	28.8213i	1.04569	+	1.43927i	0.153200	+	0.988195i	$0.451042\pi$
$402$	8.42112	−	9.12437i	0.420007	−	0.455082i
$403$	−28.6960	+	12.6781i	−1.42945	+	0.631542i
$404$	−13.0953			−0.651514
$405$	−19.9222	+	2.84689i	−0.989944	+	0.141463i
$406$	−5.06106	−	3.67708i	−0.251176	−	0.182490i
$407$	−17.7667	−	34.8691i	−0.880661	−	1.72840i
$408$	−5.14968	+	5.57973i	−0.254947	+	0.276238i
$409$			19.8406i			0.981054i	0.871426	+	0.490527i	$0.163196\pi$
$409$			19.8406i			0.981054i	−0.871426	+	0.490527i	$0.836804\pi$
$410$	7.06374	+	1.25170i	0.348853	+	0.0618171i
$411$	4.23023	−	1.56441i	0.208662	−	0.0771668i
$412$	−8.76844	+	17.2090i	−0.431990	+	0.847828i
$413$	6.32452	+	1.00171i	0.311209	+	0.0492907i
$414$	12.5299	+	2.98723i	0.615810	+	0.146814i
$415$	−19.7847	−	20.5224i	−0.971191	−	1.00740i
$416$	3.31191	−	4.55845i	0.162380	−	0.223496i
$417$	−3.84357	+	8.35470i	−0.188220	+	0.409131i
$418$	0.631775	−	0.100063i	0.0309011	−	0.00489426i
$419$	−14.4211	−	10.4775i	−0.704516	−	0.511861i	0.176884	−	0.984232i	$-0.443398\pi$
$419$	−14.4211	−	10.4775i	−0.704516	−	0.511861i	−0.881400	+	0.472371i	$0.843398\pi$
$420$	2.84957	+	0.857800i	0.139045	+	0.0418564i
$421$	14.8454	+	10.7858i	0.723518	+	0.525667i	0.887506	−	0.460795i	$-0.152436\pi$
$421$	14.8454	+	10.7858i	0.723518	+	0.525667i	−0.163988	+	0.986462i	$0.552436\pi$
$422$	1.34488	−	8.49124i	0.0654678	−	0.413347i
$423$	−16.2506	+	9.99375i	−0.790132	+	0.485913i
$424$	0.809743	+	1.11452i	0.0393246	+	0.0541257i
$425$	−4.21878	+	21.5091i	−0.204641	+	1.04334i
$426$	−4.53332	−	12.2583i	−0.219640	−	0.593915i
$427$	3.05169	−	1.55491i	0.147681	−	0.0752474i
$428$	10.0051	+	10.0051i	0.483615	+	0.483615i
$429$	−47.1312	+	1.88908i	−2.27552	+	0.0912058i
$430$	7.30425	+	10.4504i	0.352242	+	0.503962i
$431$	−9.77284	+	13.4512i	−0.470741	+	0.647920i	−0.976693	−	0.214642i	$-0.931141\pi$
$431$	−9.77284	+	13.4512i	−0.470741	+	0.647920i	0.505952	+	0.862562i	$0.331141\pi$
$432$	−5.19262	−	0.191694i	−0.249830	−	0.00922287i
$433$	−12.4541	+	12.4541i	−0.598507	+	0.598507i	−0.939915	−	0.341408i	$-0.889096\pi$
$433$	−12.4541	+	12.4541i	−0.598507	+	0.598507i	0.341408	+	0.939915i	$0.389096\pi$
$434$	−2.31975	−	3.59456i	−0.111352	−	0.172544i
$435$	31.0297	−	5.60925i	1.48776	−	0.268943i
$436$	−0.215196	+	0.156349i	−0.0103060	+	0.00748777i
$437$	0.561249	−	0.0888931i	0.0268482	−	0.00425233i
$438$	21.9276	−	12.3028i	1.04774	−	0.587852i
$439$			34.1078i			1.62788i	0.580952	+	0.813938i	$0.302680\pi$
$439$			34.1078i			1.62788i	−0.580952	+	0.813938i	$0.697320\pi$
$440$	10.7035	−	1.49503i	0.510270	−	0.0712730i
$441$	−4.45933	+	18.7046i	−0.212349	+	0.890695i
$442$	11.2139	−	22.0084i	0.533389	−	1.04683i
$443$	−0.660086	+	1.29549i	−0.0313616	+	0.0615507i	−0.906156	−	0.422944i	$-0.860997\pi$
$443$	−0.660086	+	1.29549i	−0.0313616	+	0.0615507i	0.874794	+	0.484495i	$0.160997\pi$
$444$	8.69109	+	11.0067i	0.412461	+	0.522355i
$445$	0.298677	−	0.208759i	0.0141587	−	0.00989613i
$446$	3.13509	+	4.31508i	0.148451	+	0.204325i
$447$	−37.0302	+	7.39619i	−1.75147	+	0.349828i
$448$	0.684621	+	0.348832i	0.0323453	+	0.0164808i
$449$	13.7451	+	9.98643i	0.648673	+	0.471289i	0.862819	−	0.505513i	$-0.168697\pi$
$449$	13.7451	+	9.98643i	0.648673	+	0.471289i	−0.214146	+	0.976802i	$0.568697\pi$
$450$	−13.0562	+	7.38486i	−0.615474	+	0.348126i
$451$	−4.79163	−	14.7471i	−0.225629	−	0.694415i
$452$	−12.3482	+	1.95576i	−0.580809	+	0.0919912i
$453$	−1.39931	+	11.9033i	−0.0657455	+	0.559266i
$454$	−4.54474	−	1.47668i	−0.213295	−	0.0693038i
$455$	−9.67924	−	0.177155i	−0.453770	−	0.00830517i
$456$	−0.214996	+	0.0795093i	−0.0100681	+	0.00372337i
$457$	−8.50939	+	16.7006i	−0.398053	+	0.781222i	−0.999848	−	0.0174280i	$-0.994452\pi$
$457$	−8.50939	+	16.7006i	−0.398053	+	0.781222i	0.601796	+	0.798650i	$0.294452\pi$
$458$	0.991103	−	0.504992i	0.0463112	−	0.0235967i
$459$	−22.6145	+	2.73097i	−1.05555	+	0.127471i
$460$	9.50866	−	1.32814i	0.443344	−	0.0619249i
$461$	18.9682	+	6.16314i	0.883437	+	0.287046i	0.715384	−	0.698732i	$-0.246252\pi$
$461$	18.9682	+	6.16314i	0.883437	+	0.287046i	0.168053	+	0.985778i	$0.446252\pi$
$462$	−1.25987	−	6.30773i	−0.0586143	−	0.293462i
$463$	−5.61288	+	35.4383i	−0.260853	+	1.64696i	0.414927	+	0.909855i	$0.363807\pi$
$463$	−5.61288	+	35.4383i	−0.260853	+	1.64696i	−0.675780	+	0.737104i	$0.736193\pi$
$464$	8.14169			0.377968
$465$	21.1736	+	4.08392i	0.981902	+	0.189387i
$466$	12.4276			0.575698
$467$	−0.635314	+	4.01121i	−0.0293988	+	0.185617i	−0.998018	−	0.0629339i	$-0.979954\pi$
$467$	−0.635314	+	4.01121i	−0.0293988	+	0.185617i	0.968619	+	0.248551i	$0.0799543\pi$
$468$	16.4303	−	3.97204i	0.759493	−	0.183608i
$469$	−5.23859	−	1.70212i	−0.241896	−	0.0785966i
$470$	−8.56723	+	11.3491i	−0.395177	+	0.523494i
$471$	14.8084	−	0.593541i	0.682335	−	0.0273489i
$472$	−7.42539	+	3.78342i	−0.341781	+	0.174146i
$473$	12.5115	−	24.5552i	0.575279	−	1.12905i
$474$	−0.965161	−	2.60983i	−0.0443313	−	0.119874i
$475$	−0.408280	+	0.520753i	−0.0187332	+	0.0238938i
$476$	3.20350	+	1.04088i	0.146832	+	0.0477087i
$477$	−0.317749	+	4.12062i	−0.0145487	+	0.188670i
$478$	−0.908697	+	0.143923i	−0.0415628	+	0.00658290i
$479$	5.21335	+	16.0450i	0.238204	+	0.733117i	0.996680	+	0.0814158i	$0.0259442\pi$
$479$	5.21335	+	16.0450i	0.238204	+	0.733117i	−0.758476	+	0.651701i	$0.774056\pi$
$480$	−3.65651	+	1.27668i	−0.166896	+	0.0582721i
$481$	−36.9096	−	26.8164i	−1.68293	−	1.22272i
$482$	1.99039	+	1.01416i	0.0906599	+	0.0461935i
$483$	−1.11922	−	5.60358i	−0.0509265	−	0.254972i
$484$	−7.26508	−	9.99953i	−0.330231	−	0.454524i
$485$	−5.22598	−	0.926047i	−0.237299	−	0.0420496i
$486$	−11.4887	−	10.5362i	−0.521136	−	0.477930i
$487$	9.95381	−	19.5355i	0.451050	−	0.885236i	−0.547768	−	0.836630i	$-0.684522\pi$
$487$	9.95381	−	19.5355i	0.451050	−	0.885236i	0.998818	−	0.0486055i	$-0.0154777\pi$
$488$	−2.02365	+	3.97164i	−0.0916065	+	0.179788i
$489$	−22.8522	−	6.42549i	−1.03341	−	0.290571i
$490$	1.98265	+	14.1945i	0.0895669	+	0.641243i
$491$			16.7952i			0.757958i	0.925405	+	0.378979i	$0.123725\pi$
$491$			16.7952i			0.757958i	−0.925405	+	0.378979i	$0.876275\pi$
$492$	2.71900	+	4.84613i	0.122582	+	0.218481i
$493$	35.2520	−	5.58336i	1.58767	−	0.251462i
$494$	0.603285	−	0.438312i	0.0271431	−	0.0197206i
$495$	27.3574	+	17.4004i	1.22963	+	0.782091i
$496$	5.19223	+	2.01016i	0.233138	+	0.0902586i
$497$	−4.09976	+	4.09976i	−0.183899	+	0.183899i
$498$	2.57799	−	21.9298i	0.115523	−	0.982696i
$499$	2.36663	−	3.25739i	0.105945	−	0.145821i	−0.752752	−	0.658304i	$-0.771274\pi$
$499$	2.36663	−	3.25739i	0.105945	−	0.145821i	0.858697	+	0.512483i	$0.171274\pi$
$500$	−7.05808	+	8.67084i	−0.315647	+	0.387772i
$501$	−1.35016	−	33.6855i	−0.0603207	−	1.50496i
$502$	5.61178	+	5.61178i	0.250466	+	0.250466i
$503$	0.609725	−	0.310670i	0.0271863	−	0.0138521i	−0.440345	−	0.897829i	$-0.645144\pi$
$503$	0.609725	−	0.310670i	0.0271863	−	0.0138521i	0.467531	+	0.883977i	$0.345144\pi$
$504$	0.885489	+	2.12824i	0.0394428	+	0.0947995i
$505$	−27.6785	−	9.55671i	−1.23168	−	0.425268i
$506$	−12.1979	−	16.7890i	−0.542264	−	0.746362i
$507$	−28.3198	+	15.8893i	−1.25773	+	0.705667i
$508$	1.83524	−	11.5873i	0.0814257	−	0.514101i
$509$	22.4825	+	16.3345i	0.996520	+	0.724014i	0.961339	−	0.275367i	$-0.0887992\pi$
$509$	22.4825	+	16.3345i	0.996520	+	0.724014i	0.0351810	+	0.999381i	$0.488799\pi$
$510$	−14.9565	+	8.03531i	−0.662285	+	0.355810i
$511$	−9.02375	−	6.55614i	−0.399187	−	0.290027i
$512$	−0.987688	+	0.156434i	−0.0436501	+	0.00691349i
$513$	−0.645739	−	0.236489i	−0.0285101	−	0.0104412i
$514$	−0.163731	+	0.225356i	−0.00722186	+	0.00994004i
$515$	−31.0921	+	29.9744i	−1.37008	+	1.32083i
$516$	−2.67327	+	9.50743i	−0.117684	+	0.418541i
$517$	30.3572	+	4.80811i	1.33511	+	0.211460i
$518$	2.82448	−	5.54335i	0.124100	−	0.243561i
$519$	−10.8602	−	29.3664i	−0.476709	−	1.28904i
$520$	10.3268	−	7.21788i	0.452861	−	0.316525i
$521$		−	6.55274i		−	0.287081i	−0.989644	−	0.143540i	$-0.954151\pi$
$521$		−	6.55274i		−	0.287081i	0.989644	−	0.143540i	$-0.0458487\pi$
$522$	18.5980	+	15.8334i	0.814013	+	0.693011i
$523$	14.7041	+	28.8584i	0.642965	+	1.26189i	0.950610	+	0.310388i	$0.100459\pi$
$523$	14.7041	+	28.8584i	0.642965	+	1.26189i	−0.307645	+	0.951501i	$0.599541\pi$
$524$	11.4486	+	8.31789i	0.500134	+	0.363369i
$525$	5.39691	+	3.89264i	0.235540	+	0.169889i
$526$	−2.20767			−0.0962591
$527$	23.8599	+	5.14289i	1.03935	+	0.224028i
$528$	6.15179	+	5.67765i	0.267722	+	0.247088i
$529$	2.68282	+	3.69259i	0.116644	+	0.160547i
$530$	0.898139	+	2.94661i	0.0390127	+	0.127992i
$531$	−24.3195	−	5.79798i	−1.05538	−	0.251611i
$532$	0.0719052	+	0.0719052i	0.00311748	+	0.00311748i
$533$	−12.7823	−	12.7823i	−0.553661	−	0.553661i
$534$	0.271727	+	0.0764032i	0.0117588	+	0.00330629i
$535$	13.8455	+	28.4486i	0.598592	+	1.22994i
$536$	6.81781	−	2.21524i	0.294484	−	0.0956838i
$537$	−0.122924	+	1.04565i	−0.00530455	+	0.0451233i
$538$	−10.3852	−	20.3821i	−0.447737	−	0.878733i
$539$	25.0626	−	18.2091i	1.07952	−	0.784320i
$540$	−10.8354	−	4.19465i	−0.466279	−	0.180509i
$541$	7.55520	+	23.2525i	0.324823	+	0.999703i	0.971520	+	0.236956i	$0.0761498\pi$
$541$	7.55520	+	23.2525i	0.324823	+	0.999703i	−0.646697	+	0.762747i	$0.723850\pi$
$542$	−1.57876	+	0.250051i	−0.0678135	+	0.0107406i
$543$	−35.2082	+	7.03226i	−1.51093	+	0.301783i
$544$	−4.16922	+	1.35466i	−0.178754	+	0.0580807i
$545$	−0.568946	+	0.173417i	−0.0243710	+	0.00742838i
$546$	−4.64709	−	5.88523i	−0.198877	−	0.251865i
$547$	28.3932	−	14.4671i	1.21401	−	0.618567i	0.274662	−	0.961541i	$-0.411434\pi$
$547$	28.3932	−	14.4671i	1.21401	−	0.618567i	0.939345	+	0.342974i	$0.111434\pi$
$548$	2.57193	+	0.407353i	0.109867	+	0.0174013i
$549$	−12.3464	+	5.13693i	−0.526932	+	0.219239i
$550$	23.7143	+	4.65131i	1.01118	+	0.198332i
$551$	1.02477	+	0.332968i	0.0436567	+	0.0141849i
$552$	5.46505	+	5.04384i	0.232608	+	0.214680i
$553$	−0.872855	+	0.872855i	−0.0371176	+	0.0371176i
$554$	−1.86688	+	5.74567i	−0.0793161	+	0.244110i
$555$	10.3372	+	29.6067i	0.438790	+	1.25673i
$556$	−4.29552	+	3.12087i	−0.182170	+	0.132355i
$557$	13.7500	−	13.7500i	0.582605	−	0.582605i	−0.353013	−	0.935618i	$-0.614843\pi$
$557$	13.7500	−	13.7500i	0.582605	−	0.582605i	0.935618	+	0.353013i	$0.114843\pi$
$558$	7.95136	+	14.6893i	0.336608	+	0.621848i
$559$		−	32.1281i		−	1.35887i
$560$	1.19246	+	1.23693i	0.0503907	+	0.0522697i
$561$	30.5297	+	20.3644i	1.28896	+	0.859786i
$562$	10.5179	−	5.35916i	0.443672	−	0.226062i
$563$	−20.0094	−	20.0094i	−0.843297	−	0.843297i	0.145989	−	0.989286i	$-0.453364\pi$
$563$	−20.0094	−	20.0094i	−0.843297	−	0.843297i	−0.989286	+	0.145989i	$0.953364\pi$
$564$	−11.0057	+	0.441122i	−0.463422	+	0.0185746i
$565$	−27.5267	−	4.87775i	−1.15806	−	0.205209i
$566$	−8.42164	+	2.73636i	−0.353988	+	0.115018i
$567$	−2.11616	+	6.58358i	−0.0888702	+	0.276484i
$568$	1.18042	−	7.45287i	0.0495292	−	0.312715i
$569$	−3.34209	+	10.2859i	−0.140108	+	0.431207i	−0.996349	−	0.0853680i	$-0.972793\pi$
$569$	−3.34209	+	10.2859i	−0.140108	+	0.431207i	0.856242	+	0.516575i	$0.172793\pi$
$570$	−0.512446	+	0.0111523i	−0.0214640	+	0.000467117i
$571$	5.66003	+	4.11225i	0.236865	+	0.172092i	0.699885	−	0.714255i	$-0.253234\pi$
$571$	5.66003	+	4.11225i	0.236865	+	0.172092i	−0.463021	+	0.886348i	$0.653234\pi$
$572$	−24.2648	−	12.3636i	−1.01456	−	0.516946i
$573$	−0.748881	−	3.74940i	−0.0312850	−	0.156633i
$574$	1.44894	−	1.99430i	0.0604778	−	0.0832405i
$575$	21.0670	+	4.13207i	0.878555	+	0.172319i
$576$	−2.56039	−	1.56345i	−0.106683	−	0.0651438i
$577$	−41.5318	−	6.57798i	−1.72899	−	0.273845i	−0.788838	−	0.614601i	$-0.789317\pi$
$577$	−41.5318	−	6.57798i	−1.72899	−	0.273845i	−0.940152	+	0.340756i	$0.889317\pi$
$578$	−1.97584	+	1.00674i	−0.0821839	+	0.0418748i
$579$	26.7472	+	33.8736i	1.11158	+	1.40774i
$580$	17.2085	+	5.94167i	0.714544	+	0.246715i
$581$	−9.31600	+	3.02695i	−0.386493	+	0.125579i
$582$	−2.01160	−	3.58532i	−0.0833834	−	0.148616i
$583$	4.70816	−	4.70816i	0.194992	−	0.194992i
$584$	14.5164			0.600695
$585$	37.6263	+	3.59518i	1.55566	+	0.148642i
$586$	−17.2362	−	12.5228i	−0.712019	−	0.517312i
$587$	−4.55890	+	28.7838i	−0.188166	+	1.18803i	0.695013	+	0.718998i	$0.255399\pi$
$587$	−4.55890	+	28.7838i	−0.188166	+	1.18803i	−0.883179	+	0.469037i	$0.844601\pi$
$588$	−7.52945	+	8.15823i	−0.310509	+	0.336440i
$589$	0.571322	+	0.465357i	0.0235409	+	0.0191747i
$590$	−18.4556	+	2.57782i	−0.759804	+	0.106127i
$591$	−11.8819	−	15.0477i	−0.488757	−	0.618979i
$592$	1.26664	+	7.99727i	0.0520587	+	0.328686i
$593$	−14.7354	+	7.50807i	−0.605111	+	0.308319i	−0.729571	−	0.683905i	$-0.760280\pi$
$593$	−14.7354	+	7.50807i	−0.605111	+	0.308319i	0.124460	+	0.992225i	$0.460280\pi$
$594$	3.01096	+	24.9330i	0.123541	+	1.02302i
$595$	6.01138	+	4.53789i	0.246443	+	0.186035i
$596$	−20.7346	−	6.73709i	−0.849324	−	0.275962i
$597$	12.4800	−	27.1276i	0.510774	−	1.11026i
$598$	−21.5561	−	10.9834i	−0.881494	−	0.449144i
$599$	34.1548	−	24.8150i	1.39553	−	1.01391i	0.400296	−	0.916386i	$-0.368907\pi$
$599$	34.1548	−	24.8150i	1.39553	−	1.01391i	0.995233	−	0.0975256i	$-0.0310928\pi$
$600$	−8.66020	+	0.0299538i	−0.353551	+	0.00122286i
$601$	−4.73937	+	3.44336i	−0.193323	+	0.140457i	−0.680236	−	0.732993i	$-0.738123\pi$
$601$	−4.73937	+	3.44336i	−0.193323	+	0.140457i	0.486913	+	0.873450i	$0.338123\pi$
$602$	4.32728	−	0.685374i	0.176367	−	0.0279337i
$603$	19.8819	+	8.19859i	0.809655	+	0.333872i
$604$	−4.06730	+	5.59815i	−0.165496	+	0.227786i
$605$	−8.05818	−	26.4372i	−0.327611	−	1.07482i
$606$	−7.86732	−	21.2735i	−0.319588	−	0.864178i
$607$	−6.89890	−	43.5580i	−0.280018	−	1.76796i	−0.580582	−	0.814202i	$-0.697175\pi$
$607$	−6.89890	−	43.5580i	−0.280018	−	1.76796i	0.300564	−	0.953762i	$-0.402825\pi$
$608$	−0.130715	−	0.0207032i	−0.00530119	−	0.000839627i
$609$	2.93292	−	10.4309i	0.118848	−	0.422682i
$610$	−7.17569	+	6.91774i	−0.290535	+	0.280091i
$611$	34.0777	−	11.0725i	1.37864	−	0.447946i
$612$	−12.1582	−	5.01360i	−0.491466	−	0.202663i
$613$	1.95334	+	3.83364i	0.0788945	+	0.154839i	0.927084	−	0.374854i	$-0.122307\pi$
$613$	1.95334	+	3.83364i	0.0788945	+	0.154839i	−0.848189	+	0.529693i	$0.822307\pi$
$614$	3.76708			0.152027
$615$	2.21031	+	12.2272i	0.0891284	+	0.493048i
$616$	1.14760	−	3.53194i	0.0462380	−	0.142306i
$617$	24.1319	−	3.82211i	0.971512	−	0.153872i	0.349548	−	0.936918i	$-0.386335\pi$
$617$	24.1319	−	3.82211i	0.971512	−	0.153872i	0.621964	+	0.783046i	$0.286335\pi$
$618$	−33.2243	−	3.90574i	−1.33648	−	0.157112i
$619$			14.5424i			0.584509i	0.956341	+	0.292254i	$0.0944054\pi$
$619$			14.5424i			0.584509i	−0.956341	+	0.292254i	$0.905595\pi$
$620$	9.50746	+	8.03792i	0.381829	+	0.322811i
$621$	2.67484	+	22.1497i	0.107338	+	0.888837i
$622$	−24.0029	−	3.80168i	−0.962428	−	0.152434i
$623$	−0.0195883	−	0.123676i	−0.000784789	−	0.00495496i
$624$	9.39501	+	2.64166i	0.376101	+	0.105751i
$625$	−21.2460	+	13.1761i	−0.849839	+	0.527042i
$626$			27.7909i			1.11075i
$627$	0.542111	+	0.966217i	0.0216498	+	0.0385870i
$628$	7.62389	+	3.88457i	0.304226	+	0.155011i
$629$	10.9687	+	33.7580i	0.437349	+	1.34602i
$630$	0.318437	+	5.14453i	0.0126868	+	0.204963i
$631$	3.39449	−	10.4472i	0.135133	−	0.415896i	−0.860478	−	0.509488i	$-0.829835\pi$
$631$	3.39449	−	10.4472i	0.135133	−	0.415896i	0.995611	+	0.0935921i	$0.0298349\pi$
$632$	0.251316	−	1.58675i	0.00999681	−	0.0631174i
$633$	14.6022	−	2.91655i	0.580384	−	0.115922i
$634$	7.42196	−	2.41154i	0.294764	−	0.0957745i
$635$	12.3352	−	23.1518i	0.489508	−	0.918751i
$636$	−1.32408	+	1.98502i	−0.0525032	+	0.0787111i
$637$	16.3960	−	32.1789i	0.649633	−	1.27498i
$638$	−6.15580	−	38.8662i	−0.243710	−	1.53873i
$639$	17.1903	−	14.7289i	0.680037	−	0.582668i
$640$	−2.20177	−	0.390155i	−0.0870325	−	0.0154222i
$641$	−9.11879	−	12.5509i	−0.360171	−	0.495732i	0.590026	−	0.807384i	$-0.299118\pi$
$641$	−9.11879	−	12.5509i	−0.360171	−	0.495732i	−0.950196	+	0.311652i	$0.899118\pi$
$642$	−10.2427	+	22.2643i	−0.404246	+	0.878702i
$643$	−6.29137	−	3.20561i	−0.248108	−	0.126417i	0.325515	−	0.945537i	$-0.394462\pi$
$643$	−6.29137	−	3.20561i	−0.248108	−	0.126417i	−0.573623	+	0.819120i	$0.694462\pi$
$644$	1.01949	−	3.13766i	0.0401734	−	0.123641i
$645$	−12.5887	+	18.1442i	−0.495678	+	0.714429i
$646$	−0.580169			−0.0228264
$647$	−17.1186	−	33.5971i	−0.673000	−	1.32084i	−0.934614	−	0.355664i	$-0.884255\pi$
$647$	−17.1186	−	33.5971i	−0.673000	−	1.32084i	0.261614	−	0.965173i	$-0.415745\pi$
$648$	−2.80819	−	8.55068i	−0.110316	−	0.335902i
$649$	23.6752	+	32.5862i	0.929334	+	1.27912i
$650$	27.0945	−	7.71956i	1.06273	−	0.302786i
$651$	4.44578	−	5.92801i	0.174244	−	0.232337i
$652$	−9.69114	−	9.69114i	−0.379534	−	0.379534i
$653$	−5.66873	−	0.897839i	−0.221835	−	0.0351352i	0.0445276	−	0.999008i	$-0.485822\pi$
$653$	−5.66873	−	0.897839i	−0.221835	−	0.0351352i	−0.266362	+	0.963873i	$0.585822\pi$
$654$	−0.383277	−	0.255660i	−0.0149873	−	0.00999710i
$655$	18.1278	+	25.9359i	0.708311	+	1.01340i
$656$			3.20822i			0.125260i
$657$	33.1598	+	28.2307i	1.29369	+	1.10138i
$658$	2.21830	+	4.35366i	0.0864784	+	0.169723i
$659$	2.25769	+	6.94845i	0.0879471	+	0.270673i	0.985352	−	0.170536i	$-0.0545498\pi$
$659$	2.25769	+	6.94845i	0.0879471	+	0.270673i	−0.897404	+	0.441209i	$0.854550\pi$
$660$	8.85913	+	16.4899i	0.344841	+	0.641869i
$661$	−31.7005	+	23.0318i	−1.23301	+	0.895831i	−0.997112	−	0.0759472i	$-0.975802\pi$
$661$	−31.7005	+	23.0318i	−1.23301	+	0.895831i	−0.235894	+	0.971779i	$0.575802\pi$
$662$	−9.08230	−	17.8250i	−0.352994	−	0.692789i
$663$	42.4902	+	4.99501i	1.65018	+	0.193990i
$664$	7.49329	−	10.3136i	0.290796	−	0.400246i
$665$	0.0995054	+	0.204456i	0.00385866	+	0.00792846i
$666$	−12.6592	+	20.7314i	−0.490534	+	0.803326i
$667$	−5.46861	−	34.5274i	−0.211745	−	1.33691i
$668$	8.83644	−	17.3425i	0.341892	−	0.671001i
$669$	−5.12645	+	7.68542i	−0.198200	+	0.297135i
$670$	16.0269	+	0.293335i	0.619175	+	0.0113325i
$671$	20.4896	+	6.65747i	0.790991	+	0.257009i
$672$	−0.155381	+	1.32175i	−0.00599395	+	0.0509877i
$673$	−5.53684	−	2.82116i	−0.213430	−	0.108748i	0.344008	−	0.938967i	$-0.388215\pi$
$673$	−5.53684	−	2.82116i	−0.213430	−	0.108748i	−0.557437	+	0.830219i	$0.688215\pi$
$674$	−1.76375	−	5.42827i	−0.0679372	−	0.209089i
$675$	−19.8407	−	16.7734i	−0.763669	−	0.645608i
$676$	−18.7482			−0.721083
$677$	−9.70007	+	9.70007i	−0.372804	+	0.372804i	−0.868498	−	0.495693i	$-0.834914\pi$
$677$	−9.70007	+	9.70007i	−0.372804	+	0.372804i	0.495693	+	0.868498i	$0.334914\pi$
$678$	−10.5957	−	18.8849i	−0.406924	−	0.725270i
$679$	−1.07197	+	1.47545i	−0.0411386	+	0.0566224i
$680$	−9.80079	−	0.179380i	−0.375843	−	0.00687892i
$681$	−0.331480	−	8.27018i	−0.0127023	−	0.316914i
$682$	5.67016	−	26.3061i	0.217122	−	1.00731i
$683$	2.12109	+	2.12109i	0.0811611	+	0.0811611i	0.746522	−	0.665361i	$-0.231722\pi$
$683$	2.12109	+	2.12109i	0.0811611	+	0.0811611i	−0.665361	+	0.746522i	$0.731722\pi$
$684$	−0.258329	−	0.301499i	−0.00987746	−	0.0115281i
$685$	5.13881	+	2.73794i	0.196344	+	0.104611i
$686$	9.79923	+	3.18396i	0.374136	+	0.121564i
$687$	1.41580	+	1.30668i	0.0540162	+	0.0498530i
$688$	−4.03191	+	4.03191i	−0.153715	+	0.153715i
$689$	2.39867	−	7.38234i	0.0913820	−	0.281245i
$690$	7.87017	+	14.6491i	0.299612	+	0.557682i
$691$	5.91346	+	18.1998i	0.224959	+	0.692352i	0.998296	+	0.0583566i	$0.0185861\pi$
$691$	5.91346	+	18.1998i	0.224959	+	0.692352i	−0.773337	+	0.633995i	$0.781414\pi$
$692$	2.82786	−	17.8544i	0.107499	−	0.678721i
$693$	9.49014	−	5.83621i	0.360501	−	0.221699i
$694$	11.8811	+	16.3529i	0.451000	+	0.620749i
$695$	−11.3567	+	3.46157i	−0.430783	+	0.131305i
$696$	4.89133	+	13.2263i	0.185405	+	0.501343i
$697$	2.20011	+	13.8910i	0.0833352	+	0.526158i
$698$	5.67022	+	35.8003i	0.214621	+	1.35506i
$699$	7.46622	+	20.1889i	0.282398	+	0.763615i
$700$	1.61773	+	3.48464i	0.0611445	+	0.131707i
$701$	−22.9989	−	31.6553i	−0.868657	−	1.19560i	−0.979435	−	0.201759i	$-0.935334\pi$
$701$	−22.9989	−	31.6553i	−0.868657	−	1.19560i	0.110778	−	0.993845i	$-0.464666\pi$
$702$	16.3236	+	24.3051i	0.616096	+	0.917338i
$703$	−0.167633	+	1.05839i	−0.00632241	+	0.0399181i
$704$	1.49355	+	4.59667i	0.0562903	+	0.173244i
$705$	−23.5838	−	7.09939i	−0.888217	−	0.267378i
$706$	9.21284	−	28.3542i	0.346730	−	1.06712i
$707$	−7.11490	+	7.11490i	−0.267583	+	0.267583i
$708$	−10.6072	−	9.78971i	−0.398645	−	0.367920i
$709$	−17.5264	−	5.69469i	−0.658219	−	0.213868i	−0.0391845	−	0.999232i	$-0.512476\pi$
$709$	−17.5264	−	5.69469i	−0.658219	−	0.213868i	−0.619035	+	0.785364i	$0.712476\pi$
$710$	7.93394	−	14.8911i	0.297756	−	0.558854i
$711$	3.65988	−	3.13585i	0.137256	−	0.117604i
$712$	0.115234	+	0.115234i	0.00431857	+	0.00431857i
$713$	5.03719	−	23.3695i	0.188644	−	0.875195i
$714$	0.233654	+	5.82949i	0.00874428	+	0.218163i
$715$	−42.2641	−	43.8400i	−1.58059	−	1.63952i
$716$	−0.357295	+	0.491774i	−0.0133527	+	0.0183784i
$717$	−0.779730	−	1.38973i	−0.0291195	−	0.0519005i
$718$	−4.40030	+	4.40030i	−0.164218	+	0.164218i
$719$	22.1527			0.826157			0.413079	−	0.910695i	$-0.364453\pi$
$719$	22.1527			0.826157			0.413079	+	0.910695i	$0.364453\pi$
$720$	−4.27073	−	5.17309i	−0.159161	−	0.192790i
$721$	4.58593	+	14.1140i	0.170789	+	0.525634i
$722$	16.9135	+	8.61787i	0.629456	+	0.320724i
$723$	−0.451737	+	3.84271i	−0.0168003	+	0.142912i
$724$	−19.7144	−	6.40560i	−0.732680	−	0.238062i
$725$	32.0362	+	25.1169i	1.18979	+	0.932820i
$726$	11.8798	−	17.8098i	0.440899	−	0.660982i
$727$	2.11777	−	4.15636i	0.0785438	−	0.154151i	−0.848395	−	0.529364i	$-0.822431\pi$
$727$	2.11777	−	4.15636i	0.0785438	−	0.154151i	0.926939	+	0.375213i	$0.122431\pi$
$728$	−0.677269	−	4.27611i	−0.0251013	−	0.158483i
$729$	10.2141	−	24.9934i	0.378300	−	0.925683i
$730$	30.6823	+	10.5939i	1.13560	+	0.392096i
$731$	−14.6924	+	20.2224i	−0.543418	+	0.747951i
$732$	−7.66778	−	0.901400i	−0.283409	−	0.0333167i
$733$	−14.9918	−	29.4230i	−0.553734	−	1.08676i	−0.983003	−	0.183588i	$-0.941229\pi$
$733$	−14.9918	−	29.4230i	−0.553734	−	1.08676i	0.429269	−	0.903177i	$-0.358771\pi$
$734$	23.3672	−	16.9773i	0.862499	−	0.626642i
$735$	−21.8682	+	11.7486i	−0.806620	+	0.433353i
$736$	1.32682	+	4.08354i	0.0489073	+	0.150521i
$737$	−15.7298	−	30.8714i	−0.579414	−	1.13716i
$738$	−6.23914	+	7.32851i	−0.229666	+	0.269766i
$739$		−	24.4233i		−	0.898426i	−0.893425	−	0.449213i	$-0.851704\pi$
$739$		−	24.4233i		−	0.898426i	0.893425	−	0.449213i	$-0.148296\pi$
$740$	−3.15907	+	17.8276i	−0.116130	+	0.655356i
$741$	1.07449	+	0.716722i	0.0394722	+	0.0263294i
$742$	1.04549	+	0.165589i	0.0383810	+	0.00607895i
$743$	7.35076	+	7.35076i	0.269673	+	0.269673i	0.828969	−	0.559295i	$-0.188928\pi$
$743$	7.35076	+	7.35076i	0.269673	+	0.269673i	−0.559295	+	0.828969i	$0.688928\pi$
$744$	−0.146171	+	9.64254i	−0.00535889	+	0.353513i
$745$	−38.9087	−	29.3715i	−1.42550	−	1.07609i
$746$	17.0984	+	23.5339i	0.626017	+	0.861638i
$747$	37.1742	−	8.98687i	1.36013	−	0.328813i
$748$	9.61907	+	18.8785i	0.351708	+	0.690266i
$749$	10.8719			0.397251
$750$	−18.3263	−	6.25676i	−0.669182	−	0.228465i
$751$	2.24317	−	6.90378i	0.0818546	−	0.251922i	−0.901751	−	0.432256i	$-0.857718\pi$
$751$	2.24317	−	6.90378i	0.0818546	−	0.251922i	0.983606	+	0.180333i	$0.0577177\pi$
$752$	−5.66611	−	2.88703i	−0.206622	−	0.105279i
$753$	−5.74503	+	12.4879i	−0.209360	+	0.455083i
$754$	−26.9645	−	37.1135i	−0.981990	−	1.35159i
$755$	−12.6822	+	8.86416i	−0.461552	+	0.322600i
$756$	−2.92540	+	2.71709i	−0.106396	+	0.0988197i
$757$	4.92152	+	31.0733i	0.178876	+	1.12938i	0.899781	+	0.436343i	$0.143726\pi$
$757$	4.92152	+	31.0733i	0.178876	+	1.12938i	−0.720905	+	0.693034i	$0.756274\pi$
$758$	−15.2077	+	29.8469i	−0.552370	+	1.08409i
$759$	19.9459	−	29.9022i	0.723989	−	1.08538i
$760$	−0.261174	−	0.139153i	−0.00947377	−	0.00504759i
$761$	2.12762	−	0.691306i	0.0771262	−	0.0250598i	−0.270200	−	0.962804i	$-0.587090\pi$
$761$	2.12762	−	0.691306i	0.0771262	−	0.0250598i	0.347326	+	0.937744i	$0.387090\pi$
$762$	19.9263	−	3.97996i	0.721854	−	0.144179i
$763$	−0.0319727	+	0.201868i	−0.00115749	+	0.00730810i
$764$	0.682147	−	2.09943i	0.0246792	−	0.0759548i
$765$	−22.0390	−	19.4697i	−0.796823	−	0.703929i
$766$	−0.873298	−	2.68774i	−0.0315536	−	0.0971119i
$767$	41.8387	+	21.3179i	1.51071	+	0.769745i
$768$	−0.847510	−	1.51054i	−0.0305819	−	0.0545069i
$769$			44.6454i			1.60995i	0.593306	+	0.804977i	$0.297823\pi$
$769$			44.6454i			1.60995i	−0.593306	+	0.804977i	$0.702177\pi$
$770$	5.00314	−	6.62770i	0.180301	−	0.238846i
$771$	−0.464462	−	0.130596i	−0.0167272	−	0.00470329i
$772$	3.89815	+	24.6120i	0.140298	+	0.885804i
$773$	−0.753014	−	0.119266i	−0.0270840	−	0.00428969i	0.142878	−	0.989740i	$-0.454364\pi$
$773$	−0.753014	−	0.119266i	−0.0270840	−	0.00428969i	−0.169962	+	0.985451i	$0.554364\pi$
$774$	−17.0511	+	1.36906i	−0.612887	+	0.0492098i
$775$	14.2293	+	23.9276i	0.511131	+	0.859503i
$776$		−	2.37354i		−	0.0852050i
$777$	10.7022	+	1.25811i	0.383938	+	0.0451345i
$778$	4.00735	−	0.634702i	0.143670	−	0.0227552i
$779$	−0.131205	+	0.403808i	−0.00470092	+	0.0144679i
$780$	17.9297	+	12.4398i	0.641986	+	0.445416i
$781$	−36.4704			−1.30501
$782$	8.54527	+	16.7710i	0.305578	+	0.599731i
$783$	−14.5485	+	39.7252i	−0.519922	+	1.41966i
$784$	−6.09590	+	1.98068i	−0.217711	+	0.0707385i
$785$	13.2792	+	13.7743i	0.473954	+	0.491626i
$786$	−6.63455	+	23.5957i	−0.236647	+	0.841630i
$787$	−10.9296	−	1.73107i	−0.389597	−	0.0617061i	−0.0414367	−	0.999141i	$-0.513193\pi$
$787$	−10.9296	−	1.73107i	−0.389597	−	0.0617061i	−0.348160	+	0.937435i	$0.613193\pi$
$788$	−1.73168	−	10.9334i	−0.0616885	−	0.389486i
$789$	−1.32632	−	3.58641i	−0.0472181	−	0.127680i
$790$	1.68917	−	3.17038i	0.0600979	−	0.112797i
$791$	−5.64639	+	7.77159i	−0.200763	+	0.276326i
$792$	−5.52762	+	13.4047i	−0.196415	+	0.476316i
$793$	24.8067	−	3.92899i	0.880911	−	0.139523i
$794$	−17.2149	+	12.5073i	−0.610933	+	0.443869i
$795$	−4.24724	+	3.22930i	−0.150634	+	0.114531i
$796$	13.9475	−	10.1335i	0.494356	−	0.359171i
$797$	−41.2215	−	21.0034i	−1.46014	−	0.743978i	−0.469817	−	0.882764i	$-0.655680\pi$
$797$	−41.2215	−	21.0034i	−1.46014	−	0.743978i	−0.990322	+	0.138786i	$0.955680\pi$
$798$	−0.0736126	+	0.160010i	−0.00260586	+	0.00566430i
$799$	−26.5130	−	8.61461i	−0.937964	−	0.304763i
$800$	−4.36898	−	2.43146i	−0.154467	−	0.0859649i
$801$	0.0391284	+	0.487327i	0.00138253	+	0.0172189i
$802$	−31.7422	+	16.1734i	−1.12085	+	0.571104i
$803$	−10.9756	−	69.2975i	−0.387322	−	2.44545i
$804$	7.69468	+	9.74481i	0.271370	+	0.343673i
$805$	4.44463	−	5.88783i	0.156653	−	0.207519i
$806$	−8.03300	−	30.3260i	−0.282950	−	1.06819i
$807$	26.8719	−	29.1160i	0.945936	−	1.02493i
$808$	2.04855	−	12.9340i	0.0720678	−	0.455018i
$809$	−29.8336	−	21.6754i	−1.04889	−	0.762067i	−0.0768929	−	0.997039i	$-0.524500\pi$
$809$	−29.8336	−	21.6754i	−1.04889	−	0.762067i	−0.972002	+	0.234973i	$0.924500\pi$
$810$	0.304685	−	20.1223i	0.0107055	−	0.707026i
$811$	39.8809			1.40041			0.700203	−	0.713943i	$-0.253093\pi$
$811$	39.8809			1.40041			0.700203	+	0.713943i	$0.253093\pi$
$812$	4.42353	−	4.42353i	0.155236	−	0.155236i
$813$	−1.35469	−	2.41450i	−0.0475112	−	0.0846803i
$814$	37.2191	−	12.0932i	1.30453	−	0.423867i
$815$	−13.4110	−	27.5559i	−0.469767	−	0.965240i
$816$	−4.70545	−	5.95914i	−0.164724	−	0.208612i
$817$	−0.672375	+	0.342592i	−0.0235234	+	0.0119858i
$818$	−19.5963	−	3.10375i	−0.685169	−	0.108520i
$819$	6.76883	−	11.0850i	0.236522	−	0.387341i
$820$	−2.34130	+	6.78097i	−0.0817618	+	0.236802i
$821$	11.3702	−	15.6497i	0.396822	−	0.546179i	−0.563120	−	0.826375i	$-0.690399\pi$
$821$	11.3702	−	15.6497i	0.396822	−	0.546179i	0.959943	+	0.280196i	$0.0903993\pi$
$822$	0.883398	+	4.42288i	0.0308121	+	0.154266i
$823$	7.09532	+	3.61525i	0.247327	+	0.126020i	0.573260	−	0.819373i	$-0.305678\pi$
$823$	7.09532	+	3.61525i	0.247327	+	0.126020i	−0.325933	+	0.945393i	$0.605678\pi$
$824$	−15.6255	−	11.3526i	−0.544339	−	0.395485i
$825$	6.69083	+	41.3188i	0.232945	+	1.43853i
$826$	−1.97875	+	6.08996i	−0.0688494	+	0.211897i
$827$	−5.62191	+	35.4954i	−0.195493	+	1.23429i	0.673394	+	0.739284i	$0.264836\pi$
$827$	−5.62191	+	35.4954i	−0.195493	+	1.23429i	−0.868887	+	0.495011i	$0.835164\pi$
$828$	−4.91055	+	11.9083i	−0.170654	+	0.413842i
$829$	27.6904	−	8.99716i	0.961728	−	0.312484i	0.214256	−	0.976778i	$-0.431267\pi$
$829$	27.6904	−	8.99716i	0.961728	−	0.312484i	0.747472	+	0.664293i	$0.231267\pi$
$830$	23.3647	−	16.3307i	0.811002	−	0.566846i
$831$	−10.4555	+	0.419072i	−0.362698	+	0.0145374i
$832$	3.98423	+	3.98423i	0.138128	+	0.138128i
$833$	−25.0358	+	12.7564i	−0.867439	+	0.441982i
$834$	−7.65057	−	5.10321i	−0.264918	−	0.176710i
$835$	31.3332	−	30.2069i	1.08433	−	1.04535i
$836$			0.639651i			0.0221228i
$837$	−19.0861	+	21.7421i	−0.659712	+	0.751518i
$838$	12.6045	−	12.6045i	0.435415	−	0.435415i
$839$	23.6409	−	17.1761i	0.816173	−	0.592984i	−0.0994408	−	0.995043i	$-0.531705\pi$
$839$	23.6409	−	17.1761i	0.816173	−	0.592984i	0.915614	+	0.402059i	$0.131705\pi$
$840$	−1.29301	+	2.68029i	−0.0446131	+	0.0924789i
$841$	11.5224	−	35.4622i	0.397323	−	1.22283i
$842$	−12.9753	+	12.9753i	−0.447159	+	0.447159i
$843$	15.0250	+	13.8670i	0.517488	+	0.477603i
$844$	8.17631	+	2.65665i	0.281440	+	0.0914455i
$845$	−39.6266	−	13.6821i	−1.36320	−	0.470679i
$846$	−7.32855	−	17.6139i	−0.251961	−	0.605579i
$847$	−9.38018	−	1.48567i	−0.322307	−	0.0510484i
$848$	−1.22747	+	0.625425i	−0.0421514	+	0.0214772i
$849$	−9.50478	−	12.0372i	−0.326203	−	0.413115i
$850$	−20.5843	−	7.53160i	−0.706036	−	0.258332i
$851$	33.0642	−	10.7432i	1.13343	−	0.368273i
$852$	12.8165	−	2.55989i	0.439086	−	0.0877004i
$853$	22.5495	−	3.57150i	0.772082	−	0.122286i	0.242050	−	0.970264i	$-0.422180\pi$
$853$	22.5495	−	3.57150i	0.772082	−	0.122286i	0.530031	+	0.847978i	$0.322180\pi$
$854$	1.05838	+	3.25736i	0.0362170	+	0.111464i
$855$	−0.325982	−	0.825780i	−0.0111484	−	0.0282411i
$856$	−11.4471	+	8.31678i	−0.391252	+	0.284262i
$857$	21.5048	+	42.2055i	0.734590	+	1.44171i	0.890992	+	0.454020i	$0.150010\pi$
$857$	21.5048	+	42.2055i	0.734590	+	1.44171i	−0.156402	+	0.987693i	$0.549990\pi$
$858$	5.50712	−	46.8465i	0.188010	−	1.59931i
$859$	−33.8476	+	10.9978i	−1.15487	+	0.375239i	−0.822974	−	0.568079i	$-0.807687\pi$
$859$	−33.8476	+	10.9978i	−1.15487	+	0.375239i	−0.331892	+	0.943318i	$0.607687\pi$
$860$	−11.4644	+	5.57952i	−0.390931	+	0.190260i
$861$	4.11027	+	1.15571i	0.140078	+	0.0393866i
$862$	−11.7567	−	11.7567i	−0.400436	−	0.400436i
$863$	18.8708	+	18.8708i	0.642370	+	0.642370i	0.951138	−	0.308767i	$-0.0999165\pi$
$863$	18.8708	+	18.8708i	0.642370	+	0.642370i	−0.308767	+	0.951138i	$0.599916\pi$
$864$	1.00164	−	5.09870i	0.0340764	−	0.173461i
$865$	19.0069	−	35.6738i	0.646253	−	1.21294i
$866$	−10.3525	−	14.2490i	−0.351793	−	0.484202i
$867$	−2.82250	−	2.60496i	−0.0958572	−	0.0884692i
$868$	3.91319	−	1.72888i	0.132822	−	0.0586821i
$869$	−7.76470			−0.263399
$870$	0.686075	+	31.5252i	0.0232601	+	1.06880i
$871$	−32.6780	−	23.7420i	−1.10725	−	0.804465i
$872$	−0.120760	−	0.237005i	−0.00408946	−	0.00802601i
$873$	4.61591	−	5.42185i	0.156225	−	0.183502i
$874$			0.568245i			0.0192212i
$875$	0.876245	+	8.54582i	0.0296225	+	0.288901i
$876$	8.72113	+	23.5823i	0.294660	+	0.796771i
$877$	−21.5586	+	42.3112i	−0.727983	+	1.42875i	0.168514	+	0.985699i	$0.446103\pi$
$877$	−21.5586	+	42.3112i	−0.727983	+	1.42875i	−0.896498	+	0.443049i	$0.853897\pi$
$878$	−33.6879	−	5.33563i	−1.13691	−	0.180069i
$879$	9.98849	−	35.5239i	0.336903	−	1.19819i
$880$	−0.197771	+	10.8056i	−0.00666686	+	0.364257i
$881$	−18.5621	+	25.5486i	−0.625374	+	0.860753i	−0.997730	−	0.0673367i	$-0.978550\pi$
$881$	−18.5621	+	25.5486i	−0.625374	+	0.860753i	0.372357	+	0.928090i	$0.378550\pi$
$882$	−17.7767	−	7.33048i	−0.598574	−	0.246830i
$883$	42.0768	−	6.66431i	1.41600	−	0.224272i	0.598924	−	0.800806i	$-0.295595\pi$
$883$	42.0768	−	6.66431i	1.41600	−	0.224272i	0.817073	+	0.576534i	$0.195595\pi$
$884$	19.9832	+	14.5187i	0.672109	+	0.488316i
$885$	−15.2754	−	28.4328i	−0.513477	−	0.955758i
$886$	−1.17628	−	0.854619i	−0.0395180	−	0.0287115i
$887$	0.896019	−	5.65724i	0.0300854	−	0.189952i	−0.968069	−	0.250685i	$-0.919344\pi$
$887$	0.896019	−	5.65724i	0.0300854	−	0.189952i	0.998154	+	0.0607338i	$0.0193441\pi$
$888$	−12.2308	+	6.86226i	−0.410438	+	0.230282i
$889$	−5.29845	−	7.29269i	−0.177704	−	0.244589i
$890$	0.159465	+	0.327657i	0.00534530	+	0.0109831i
$891$	−38.6953	+	19.8705i	−1.29634	+	0.665688i
$892$	−4.75239	+	2.42146i	−0.159122	+	0.0810766i
$893$	−0.595107	−	0.595107i	−0.0199145	−	0.0199145i
$894$	−1.51232	−	37.7313i	−0.0505797	−	1.26193i
$895$	−1.11408	+	0.778678i	−0.0372394	+	0.0260283i
$896$	−0.451636	+	0.621623i	−0.0150881	+	0.0207670i
$897$	4.89235	−	41.6169i	0.163351	−	1.38955i
$898$	−12.0137	+	12.0137i	−0.400902	+	0.400902i
$899$	28.6283	−	35.1471i	0.954807	−	1.17222i
$900$	−5.25150	−	14.0507i	−0.175050	−	0.468356i
$901$	−4.88579	+	3.54974i	−0.162769	+	0.118259i
$902$	15.3151	−	2.42568i	0.509938	−	0.0807663i
$903$	3.71313	+	6.61800i	0.123565	+	0.220233i
$904$		−	12.5021i		−	0.415814i
$905$	−36.9942	−	27.9263i	−1.22973	−	0.928301i
$906$	−11.5378	−	3.24417i	−0.383319	−	0.107780i
$907$	17.0463	−	33.4553i	0.566014	−	1.11086i	−0.413691	−	0.910417i	$-0.635761\pi$
$907$	17.0463	−	33.4553i	0.566014	−	1.11086i	0.979705	−	0.200447i	$-0.0642394\pi$
$908$	2.16945	−	4.25779i	0.0719957	−	0.141300i
$909$	29.8328	−	25.5612i	0.989492	−	0.847813i
$910$	1.68914	−	9.53236i	0.0559945	−	0.315995i
$911$	18.3333	+	25.2336i	0.607409	+	0.836026i	0.996361	−	0.0852315i	$-0.0271630\pi$
$911$	18.3333	+	25.2336i	0.607409	+	0.836026i	−0.388953	+	0.921258i	$0.627163\pi$
$912$	−0.0448976	−	0.224787i	−0.00148671	−	0.00744345i
$913$	−54.9000	−	27.9729i	−1.81692	−	0.925769i
$914$	−15.1638	−	11.0172i	−0.501576	−	0.364416i
$915$	−15.5490	−	7.50104i	−0.514034	−	0.247977i
$916$	0.343732	+	1.05790i	0.0113572	+	0.0349540i
$917$	10.7395	−	1.70097i	0.354650	−	0.0561710i
$918$	0.840343	−	22.7633i	0.0277355	−	0.751300i
$919$	12.1182	+	3.93744i	0.399742	+	0.129884i	0.501987	−	0.864875i	$-0.332603\pi$
$919$	12.1182	+	3.93744i	0.399742	+	0.129884i	−0.102245	+	0.994759i	$0.532603\pi$
$920$	−0.175693	+	9.59936i	−0.00579244	+	0.316481i
$921$	2.26317	+	6.11970i	0.0745741	+	0.201651i
$922$	−9.05454	+	17.7705i	−0.298195	+	0.585242i
$923$	−37.8829	+	19.3023i	−1.24693	+	0.635344i
$924$	6.42716	−	0.257609i	0.211438	−	0.00847472i
$925$	−19.6874	+	35.3755i	−0.647318	+	1.16314i
$926$	−34.1240	−	11.0875i	−1.12138	−	0.364359i
$927$	−13.6154	−	56.3200i	−0.447188	−	1.84979i
$928$	−1.27364	+	8.04145i	−0.0418093	+	0.263974i
$929$	−0.212434			−0.00696973			−0.00348486	−	0.999994i	$-0.501109\pi$
$929$	−0.212434			−0.00696973			−0.00348486	+	0.999994i	$0.501109\pi$
$930$	−7.34592	+	20.2741i	−0.240882	+	0.664813i
$931$	−0.848276			−0.0278011
$932$	−1.94411	+	12.2746i	−0.0636814	+	0.402068i
$933$	−8.24444	−	41.2771i	−0.269911	−	1.35135i
$934$	−3.86244	−	1.25498i	−0.126383	−	0.0410643i
$935$	6.55390	+	46.9219i	0.214336	+	1.53451i
$936$	1.35287	+	16.8494i	0.0442199	+	0.550741i
$937$	−43.8699	+	22.3528i	−1.43317	+	0.730235i	−0.986392	−	0.164412i	$-0.947427\pi$
$937$	−43.8699	+	22.3528i	−1.43317	+	0.730235i	−0.446775	+	0.894647i	$0.647427\pi$
$938$	2.50066	−	4.90782i	0.0816495	−	0.160246i
$939$	−45.1469	+	16.6961i	−1.47331	+	0.544857i
$940$	−9.86914	−	10.2371i	−0.321896	−	0.333899i
$941$	16.5206	+	5.36787i	0.538556	+	0.174988i	0.565650	−	0.824645i	$-0.308625\pi$
$941$	16.5206	+	5.36787i	0.538556	+	0.174988i	−0.0270937	+	0.999633i	$0.508625\pi$
$942$	−1.73031	+	14.7189i	−0.0563765	+	0.479569i
$943$	13.6055	−	2.15489i	0.443055	−	0.0701730i
$944$	−2.57526	−	7.92583i	−0.0838175	−	0.257964i
$945$	−8.16608	+	3.60801i	−0.265643	+	0.117369i
$946$	22.2957	+	16.1987i	0.724894	+	0.526667i
$947$	−8.61960	−	4.39191i	−0.280099	−	0.142718i	0.308298	−	0.951290i	$-0.400241\pi$
$947$	−8.61960	−	4.39191i	−0.280099	−	0.142718i	−0.588397	+	0.808572i	$0.700241\pi$
$948$	2.72869	−	0.545011i	0.0886236	−	0.0177011i
$949$	−48.0771	−	66.1724i	−1.56065	−	2.14805i
$950$	−0.450473	−	0.484717i	−0.0146153	−	0.0157263i
$951$	8.37653	+	10.6083i	0.271628	+	0.343999i
$952$	−1.52920	+	3.00123i	−0.0495618	+	0.0972704i
$953$	14.5451	−	28.5464i	0.471163	−	0.924709i	−0.526075	−	0.850438i	$-0.676337\pi$
$953$	14.5451	−	28.5464i	0.471163	−	0.924709i	0.997238	−	0.0742713i	$-0.0236631\pi$
$954$	−4.02018	−	0.958444i	−0.130158	−	0.0310308i
$955$	2.97393	−	3.93959i	0.0962342	−	0.127482i
$956$		−	0.920024i		−	0.0297557i
$957$	59.4407	−	33.3501i	1.92144	−	1.07806i
$958$	−16.6630	+	2.63917i	−0.538359	+	0.0852676i
$959$	1.61870	−	1.17605i	0.0522705	−	0.0379767i
$960$	−0.688954	−	3.81121i	−0.0222359	−	0.123006i
$961$	26.9349	−	15.3463i	0.868869	−	0.495042i
$962$	32.2601	−	32.2601i	1.04011	−	1.04011i
$963$	−42.3224	−	3.26357i	−1.36382	−	0.105167i
$964$	−1.31304	+	1.80724i	−0.0422900	+	0.0582072i
$965$	−9.72218	+	54.8653i	−0.312968	+	1.76618i
$966$	5.70968	−	0.228852i	0.183706	−	0.00736318i
$967$	6.86600	+	6.86600i	0.220796	+	0.220796i	0.808834	−	0.588038i	$-0.200099\pi$
$967$	6.86600	+	6.86600i	0.220796	+	0.220796i	−0.588038	+	0.808834i	$0.700099\pi$
$968$	11.0129	−	5.61137i	0.353969	−	0.180356i
$969$	−0.348551	−	0.942496i	−0.0111971	−	0.0302773i
$970$	1.73217	−	5.01677i	0.0556166	−	0.161079i
$971$	−20.9039	−	28.7718i	−0.670838	−	0.923330i	0.328941	−	0.944351i	$-0.393308\pi$
$971$	−20.9039	−	28.7718i	−0.670838	−	0.923330i	−0.999779	+	0.0210208i	$0.993308\pi$
$972$	12.2037	−	9.69900i	0.391433	−	0.311096i
$973$	−0.638204	+	4.02946i	−0.0204599	+	0.129179i
$974$	17.7378	+	12.8873i	0.568356	+	0.412935i
$975$	28.8183	+	39.3779i	0.922925	+	1.26110i
$976$	−3.60618	−	2.62004i	−0.115431	−	0.0838655i
$977$	−19.6430	+	3.11114i	−0.628435	+	0.0995343i	−0.462524	−	0.886607i	$-0.653056\pi$
$977$	−19.6430	+	3.11114i	−0.628435	+	0.0995343i	−0.165910	+	0.986141i	$0.553056\pi$
$978$	9.92125	−	21.5657i	0.317247	−	0.689594i
$979$	0.462968	−	0.637221i	0.0147965	−	0.0203657i
$980$	−14.3299	−	0.262275i	−0.457753	−	0.00837807i
$981$	0.185061	−	0.776237i	0.00590855	−	0.0247833i
$982$	−16.5885	−	2.62735i	−0.529359	−	0.0838422i
$983$	10.3991	−	20.4094i	0.331679	−	0.650957i	−0.663592	−	0.748095i	$-0.730969\pi$
$983$	10.3991	−	20.4094i	0.331679	−	0.650957i	0.995271	+	0.0971376i	$0.0309687\pi$
$984$	−5.21181	+	1.92742i	−0.166147	+	0.0614439i
$985$	4.31888	−	24.3728i	0.137611	−	0.776583i
$986$			35.6914i			1.13665i
$987$	−5.73991	+	6.21925i	−0.182703	+	0.197961i
$988$	0.338541	+	0.664425i	0.0107704	+	0.0211382i
$989$	19.8067	+	14.3904i	0.629818	+	0.457589i
$990$	−21.4659	+	24.2986i	−0.682230	+	0.772260i
$991$	13.0951			0.415980			0.207990	−	0.978131i	$-0.433308\pi$
$991$	13.0951			0.415980			0.207990	+	0.978131i	$0.433308\pi$
$992$	−2.79765	+	4.81385i	−0.0888255	+	0.152840i
$993$	23.5007	−	25.4632i	0.745772	−	0.808051i
$994$	−3.40794	−	4.69062i	−0.108093	−	0.148778i
$995$	36.8750	−	11.2397i	1.16902	−	0.356322i
$996$	21.2565	+	5.97683i	0.673538	+	0.189383i
$997$	−10.8530	−	10.8530i	−0.343719	−	0.343719i	0.514045	−	0.857764i	$-0.328147\pi$
$997$	−10.8530	−	10.8530i	−0.343719	−	0.343719i	−0.857764	+	0.514045i	$0.828147\pi$
$998$	2.84706	+	2.84706i	0.0901223	+	0.0901223i
$999$	−41.2840	−	8.11022i	−1.30617	−	0.256596i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bk.a.47.3	✓	512
3.2	odd	2	inner	930.2.bk.a.47.34	yes	512
5.3	odd	4	inner	930.2.bk.a.233.47	yes	512
15.8	even	4	inner	930.2.bk.a.233.15	yes	512
31.2	even	5	inner	930.2.bk.a.467.15	yes	512
93.2	odd	10	inner	930.2.bk.a.467.47	yes	512
155.33	odd	20	inner	930.2.bk.a.653.34	yes	512
465.188	even	20	inner	930.2.bk.a.653.3	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bk.a.47.3	✓	512	1.1	even	1	trivial
930.2.bk.a.47.34	yes	512	3.2	odd	2	inner
930.2.bk.a.233.15	yes	512	15.8	even	4	inner
930.2.bk.a.233.47	yes	512	5.3	odd	4	inner
930.2.bk.a.467.15	yes	512	31.2	even	5	inner
930.2.bk.a.467.47	yes	512	93.2	odd	10	inner
930.2.bk.a.653.3	yes	512	465.188	even	20	inner
930.2.bk.a.653.34	yes	512	155.33	odd	20	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.69850 + 0.339248i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.78466 - 1.34721i) q^{5} +(-0.0693673 - 1.73066i) q^{6} +(-0.684621 + 0.348832i) q^{7} +(0.453990 - 0.891007i) q^{8} +(2.76982 - 1.15243i) q^{9} +O(q^{10})\)	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.69850 + 0.339248i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.78466 - 1.34721i) q^{5} +(-0.0693673 - 1.73066i) q^{6} +(-0.684621 + 0.348832i) q^{7} +(0.453990 - 0.891007i) q^{8} +(2.76982 - 1.15243i) q^{9} +(1.60981 - 1.55194i) q^{10} +(-4.59667 - 1.49355i) q^{11} +(1.72021 + 0.202222i) q^{12} +(-5.56518 + 0.881438i) q^{13} +(-0.237439 - 0.730762i) q^{14} +(3.48829 + 1.68280i) q^{15} +(0.809017 + 0.587785i) q^{16} +(3.90598 + 1.99019i) q^{17} +(0.704944 + 2.91600i) q^{18} +(0.0777901 + 0.107069i) q^{19} +(1.28100 + 1.83277i) q^{20} +(1.04449 - 0.824749i) q^{21} +(2.19424 - 4.30644i) q^{22} +(1.94929 - 3.82570i) q^{23} +(-0.468832 + 1.66739i) q^{24} +(1.37004 + 4.80864i) q^{25} -5.63455i q^{26} +(-4.31359 + 2.89706i) q^{27} +(0.758909 - 0.120199i) q^{28} +(6.58677 - 4.78557i) q^{29} +(-2.20777 + 3.18210i) q^{30} +(5.38214 - 1.42567i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(8.31414 + 0.977384i) q^{33} +(-2.57672 + 3.54655i) q^{34} +(1.69177 + 0.299783i) q^{35} +(-2.99038 + 0.240103i) q^{36} +(5.72542 + 5.72542i) q^{37} +(-0.117920 + 0.0600831i) q^{38} +(9.15345 - 3.38510i) q^{39} +(-2.01059 + 0.978524i) q^{40} +(1.88574 + 2.59550i) q^{41} +(0.651200 + 1.16065i) q^{42} +(-0.891985 + 5.63177i) q^{43} +(3.91016 + 2.84090i) q^{44} +(-6.49576 - 1.67484i) q^{45} +(3.47366 + 2.52376i) q^{46} +(-6.28093 + 0.994802i) q^{47} +(-1.57352 - 0.723897i) q^{48} +(-3.76747 + 5.18548i) q^{49} +(-4.96376 + 0.600936i) q^{50} +(-7.30948 - 2.05525i) q^{51} +(5.56518 + 0.881438i) q^{52} +(-0.625425 + 1.22747i) q^{53} +(-2.18660 - 4.71368i) q^{54} +(6.19138 + 8.85817i) q^{55} +0.768368i q^{56} +(-0.168450 - 0.155467i) q^{57} +(3.69625 + 7.25430i) q^{58} +(-6.74211 - 4.89843i) q^{59} +(-2.79755 - 2.67838i) q^{60} -4.45748 q^{61} +(0.566163 + 5.53890i) q^{62} +(-1.49427 + 1.75518i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(11.1195 + 5.92441i) q^{65} +(-2.26597 + 8.05889i) q^{66} +(5.06901 + 5.06901i) q^{67} +(-3.09980 - 3.09980i) q^{68} +(-2.01301 + 7.15925i) q^{69} +(-0.560743 + 1.62404i) q^{70} +(7.17645 - 2.33177i) q^{71} +(0.230651 - 2.99112i) q^{72} +(6.59033 + 12.9342i) q^{73} +(-6.55058 + 4.75927i) q^{74} +(-3.95834 - 7.70270i) q^{75} +(-0.0408967 - 0.125867i) q^{76} +(3.66798 - 0.580951i) q^{77} +(1.91151 + 9.57030i) q^{78} +(1.52790 - 0.496443i) q^{79} +(-0.651951 - 2.13892i) q^{80} +(6.34382 - 6.38404i) q^{81} +(-2.85854 + 1.45650i) q^{82} +(12.5914 + 1.99428i) q^{83} +(-1.24823 + 0.461617i) q^{84} +(-4.28964 - 8.81400i) q^{85} +(-5.42290 - 1.76201i) q^{86} +(-9.56414 + 10.3628i) q^{87} +(-3.41761 + 3.41761i) q^{88} +(-0.0503590 + 0.154989i) q^{89} +(2.67038 - 6.15378i) q^{90} +(3.50257 - 2.54476i) q^{91} +(-3.03609 + 3.03609i) q^{92} +(-8.65793 + 4.24738i) q^{93} -6.35923i q^{94} +(0.00541541 - 0.295882i) q^{95} +(0.961138 - 1.44091i) q^{96} +(2.11484 - 1.07756i) q^{97} +(-4.53228 - 4.53228i) q^{98} +(-14.4532 + 1.16047i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q + 8 q^{3} - 12 q^{7}+O(q^{10}) \) 512 * q + 8 * q^3 - 12 * q^7	\( 512 q + 8 q^{3} - 12 q^{7} - 8 q^{10} - 8 q^{12} + 8 q^{15} + 128 q^{16} + 28 q^{22} + 32 q^{25} + 44 q^{27} + 8 q^{28} + 24 q^{30} + 8 q^{31} + 28 q^{33} + 176 q^{37} + 24 q^{42} - 40 q^{45} - 24 q^{46} + 12 q^{48} - 16 q^{51} - 40 q^{55} + 40 q^{57} + 56 q^{58} + 12 q^{60} - 32 q^{61} - 224 q^{63} + 32 q^{66} + 48 q^{67} + 24 q^{70} + 40 q^{73} - 32 q^{75} + 48 q^{76} - 76 q^{78} - 96 q^{81} + 24 q^{85} - 80 q^{87} - 72 q^{88} + 16 q^{90} + 80 q^{91} - 168 q^{93} - 112 q^{97}+O(q^{100}) \) 512 * q + 8 * q^3 - 12 * q^7 - 8 * q^10 - 8 * q^12 + 8 * q^15 + 128 * q^16 + 28 * q^22 + 32 * q^25 + 44 * q^27 + 8 * q^28 + 24 * q^30 + 8 * q^31 + 28 * q^33 + 176 * q^37 + 24 * q^42 - 40 * q^45 - 24 * q^46 + 12 * q^48 - 16 * q^51 - 40 * q^55 + 40 * q^57 + 56 * q^58 + 12 * q^60 - 32 * q^61 - 224 * q^63 + 32 * q^66 + 48 * q^67 + 24 * q^70 + 40 * q^73 - 32 * q^75 + 48 * q^76 - 76 * q^78 - 96 * q^81 + 24 * q^85 - 80 * q^87 - 72 * q^88 + 16 * q^90 + 80 * q^91 - 168 * q^93 - 112 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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