LMFDB - Embedded newform 726.2.h.k.233.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [726,2,Mod(161,726)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("726.161"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(726, base_ring=CyclotomicField(10)) chi = DirichletCharacter(H, H._module([5, 7])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 726 = 2 \cdot 3 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	726.h (of order $10$, degree $4$, not minimal)

Newform invariants

comment:select newform

sage:traces = [32,-8,-4,-8,0,-4,0,-8,4] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(9)] == traces)

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

Self dual:	no
Analytic conductor:	$5.79713918674$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			233.5
Character	$\chi$	$=$	726.233
Dual form			726.2.h.k.215.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.309017 - 0.951057i) q^{2} +(-0.368028 - 1.69250i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.72785 - 0.886332i) q^{5} +(-1.72339 - 0.172995i) q^{6} +(-0.407064 + 0.560275i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.72911 + 1.24578i) q^{9} -2.86823i q^{10} +(-0.697085 + 1.58558i) q^{12} +(-6.72841 - 2.18619i) q^{13} +(0.407064 + 0.560275i) q^{14} +(-2.50404 - 4.29069i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.419795 - 1.29200i) q^{17} +(0.341462 + 2.98050i) q^{18} +(-2.39723 - 3.29950i) q^{19} +(-2.72785 - 0.886332i) q^{20} +(1.09808 + 0.482758i) q^{21} -7.41381i q^{23} +(1.29257 + 1.15294i) q^{24} +(2.61049 - 1.89663i) q^{25} +(-4.15839 + 5.72353i) q^{26} +(3.11287 + 4.16054i) q^{27} +(0.658643 - 0.214006i) q^{28} +(4.48276 + 3.25691i) q^{29} +(-4.85448 + 1.05559i) q^{30} +(2.20849 - 6.79703i) q^{31} +1.00000 q^{32} -1.35848 q^{34} +(-0.613818 + 1.88914i) q^{35} +(2.94015 + 0.596277i) q^{36} +(-4.38064 - 3.18272i) q^{37} +(-3.87879 + 1.26030i) q^{38} +(-1.22389 + 12.1924i) q^{39} +(-1.68590 + 2.32045i) q^{40} +(2.25018 - 1.63485i) q^{41} +(0.798454 - 0.895152i) q^{42} +3.51390i q^{43} +(-6.34043 + 5.81719i) q^{45} +(-7.05095 - 2.29099i) q^{46} +(-2.63709 - 3.62964i) q^{47} +(1.49594 - 0.873027i) q^{48} +(2.01491 + 6.20126i) q^{49} +(-0.997118 - 3.06881i) q^{50} +(-2.03220 + 1.18599i) q^{51} +(4.15839 + 5.72353i) q^{52} +(9.71666 + 3.15713i) q^{53} +(4.91883 - 1.67483i) q^{54} -0.692538i q^{56} +(-4.70215 + 5.27162i) q^{57} +(4.48276 - 3.25691i) q^{58} +(-1.36452 + 1.87810i) q^{59} +(-0.496190 + 4.94308i) q^{60} +(3.94093 - 1.28049i) q^{61} +(-5.78190 - 4.20080i) q^{62} +(0.412944 - 2.03616i) q^{63} +(0.309017 - 0.951057i) q^{64} -20.2918 q^{65} +5.53403 q^{67} +(-0.419795 + 1.29200i) q^{68} +(-12.5479 + 2.72849i) q^{69} +(1.60700 + 1.16755i) q^{70} +(8.06998 - 2.62210i) q^{71} +(1.47565 - 2.61198i) q^{72} +(-4.33645 + 5.96861i) q^{73} +(-4.38064 + 3.18272i) q^{74} +(-4.17078 - 3.72024i) q^{75} +4.07841i q^{76} +(11.2175 + 4.93165i) q^{78} +(12.7041 + 4.12782i) q^{79} +(1.68590 + 2.32045i) q^{80} +(5.89608 - 6.79972i) q^{81} +(-0.859493 - 2.64525i) q^{82} +(-1.89311 - 5.82638i) q^{83} +(-0.604604 - 1.03599i) q^{84} +(-2.29027 - 3.15229i) q^{85} +(3.34192 + 1.08586i) q^{86} +(3.86254 - 8.78570i) q^{87} +1.79675i q^{89} +(3.57317 + 7.82772i) q^{90} +(3.96376 - 2.87984i) q^{91} +(-4.35773 + 5.99790i) q^{92} +(-12.3168 - 1.23637i) q^{93} +(-4.26690 + 1.38640i) q^{94} +(-9.46372 - 6.87580i) q^{95} +(-0.368028 - 1.69250i) q^{96} +(-2.19791 + 6.76446i) q^{97} +6.52039 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 8 q^{2} - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{8} + 4 q^{9} + 16 q^{12} + 8 q^{15} - 8 q^{16} + 16 q^{17} + 4 q^{18} - 48 q^{21} - 4 q^{24} + 40 q^{25} - 16 q^{27} - 8 q^{29} + 8 q^{30} - 24 q^{31}+ \cdots + 8 q^{97}+O(q^{100}) $ 32 * q - 8 * q^2 - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^8 + 4 * q^9 + 16 * q^12 + 8 * q^15 - 8 * q^16 + 16 * q^17 + 4 * q^18 - 48 * q^21 - 4 * q^24 + 40 * q^25 - 16 * q^27 - 8 * q^29 + 8 * q^30 - 24 * q^31 + 32 * q^32 - 64 * q^34 + 4 * q^36 - 24 * q^37 - 28 * q^39 + 12 * q^42 - 64 * q^45 - 4 * q^48 + 40 * q^50 + 28 * q^51 + 64 * q^54 - 16 * q^57 - 8 * q^58 + 8 * q^60 - 24 * q^62 + 12 * q^63 - 8 * q^64 - 128 * q^65 + 32 * q^67 + 16 * q^68 - 40 * q^69 + 4 * q^72 - 24 * q^74 + 12 * q^75 + 112 * q^78 - 8 * q^81 + 16 * q^83 + 12 * q^84 + 128 * q^87 + 16 * q^90 - 8 * q^91 - 64 * q^95 - 4 * q^96 + 8 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/726\mathbb{Z}\right)^\times$.

$n$	$485$	$607$
$\chi(n)$	$-1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$2$	0.309017	−	0.951057i	0.218508	−	0.672499i
$3$	−0.368028	−	1.69250i	−0.212481	−	0.977165i
$3$	−0.368028	−	1.69250i	−0.212481	−	0.977165i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	2.72785	−	0.886332i	1.21993	−	0.396380i	0.372874	−	0.927882i	$-0.378372\pi$
$5$	2.72785	−	0.886332i	1.21993	−	0.396380i	0.847057	+	0.531502i	$0.178372\pi$
$6$	−1.72339	−	0.172995i	−0.703571	−	0.0706250i
$7$	−0.407064	+	0.560275i	−0.153856	+	0.211764i	−0.878986	−	0.476847i	$-0.841779\pi$
$7$	−0.407064	+	0.560275i	−0.153856	+	0.211764i	0.725130	+	0.688611i	$0.241779\pi$
$8$	−0.809017	+	0.587785i	−0.286031	+	0.207813i
$9$	−2.72911	+	1.24578i	−0.909703	+	0.415259i
$10$		−	2.86823i		−	0.907014i
$11$		0			0
$11$		0			0
$12$	−0.697085	+	1.58558i	−0.201231	+	0.457718i
$13$	−6.72841	−	2.18619i	−1.86613	−	0.606341i	−0.992889	−	0.119045i	$-0.962017\pi$
$13$	−6.72841	−	2.18619i	−1.86613	−	0.606341i	−0.873237	−	0.487296i	$-0.837983\pi$
$14$	0.407064	+	0.560275i	0.108792	+	0.149740i
$15$	−2.50404	−	4.29069i	−0.646541	−	1.10785i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−0.419795	−	1.29200i	−0.101815	−	0.313355i	0.887155	−	0.461472i	$-0.152679\pi$
$17$	−0.419795	−	1.29200i	−0.101815	−	0.313355i	−0.988970	+	0.148117i	$0.952679\pi$
$18$	0.341462	+	2.98050i	0.0804833	+	0.702512i
$19$	−2.39723	−	3.29950i	−0.549962	−	0.756957i	0.440045	−	0.897976i	$-0.354962\pi$
$19$	−2.39723	−	3.29950i	−0.549962	−	0.756957i	−0.990007	+	0.141018i	$0.954962\pi$
$20$	−2.72785	−	0.886332i	−0.609966	−	0.198190i
$21$	1.09808	+	0.482758i	0.239620	+	0.105346i
$22$		0			0
$23$		−	7.41381i		−	1.54589i	−0.634476	−	0.772943i	$-0.718784\pi$
$23$		−	7.41381i		−	1.54589i	0.634476	−	0.772943i	$-0.281216\pi$
$24$	1.29257	+	1.15294i	0.263844	+	0.235343i
$25$	2.61049	−	1.89663i	0.522098	−	0.379326i
$26$	−4.15839	+	5.72353i	−0.815527	+	1.12248i
$27$	3.11287	+	4.16054i	0.599071	+	0.800696i
$28$	0.658643	−	0.214006i	0.124472	−	0.0404433i
$29$	4.48276	+	3.25691i	0.832427	+	0.604794i	0.920245	−	0.391343i	$-0.127989\pi$
$29$	4.48276	+	3.25691i	0.832427	+	0.604794i	−0.0878176	+	0.996137i	$0.527989\pi$
$30$	−4.85448	+	1.05559i	−0.886302	+	0.192724i
$31$	2.20849	−	6.79703i	0.396657	−	1.22078i	−0.531007	−	0.847367i	$-0.678186\pi$
$31$	2.20849	−	6.79703i	0.396657	−	1.22078i	0.927664	−	0.373416i	$-0.121814\pi$
$32$	1.00000			0.176777
$33$		0			0
$34$	−1.35848			−0.232978
$35$	−0.613818	+	1.88914i	−0.103754	+	0.319323i
$36$	2.94015	+	0.596277i	0.490024	+	0.0993795i
$37$	−4.38064	−	3.18272i	−0.720173	−	0.523237i	0.166266	−	0.986081i	$-0.446829\pi$
$37$	−4.38064	−	3.18272i	−0.720173	−	0.523237i	−0.886440	+	0.462844i	$0.846829\pi$
$38$	−3.87879	+	1.26030i	−0.629224	+	0.204447i
$39$	−1.22389	+	12.1924i	−0.195978	+	1.95235i
$40$	−1.68590	+	2.32045i	−0.266565	+	0.366895i
$41$	2.25018	−	1.63485i	0.351420	−	0.255321i	−0.398045	−	0.917366i	$-0.630311\pi$
$41$	2.25018	−	1.63485i	0.351420	−	0.255321i	0.749464	+	0.662045i	$0.230311\pi$
$42$	0.798454	−	0.895152i	0.123204	−	0.138125i
$43$			3.51390i			0.535865i	0.963438	+	0.267933i	$0.0863405\pi$
$43$			3.51390i			0.535865i	−0.963438	+	0.267933i	$0.913660\pi$
$44$		0			0
$45$	−6.34043	+	5.81719i	−0.945175	+	0.867175i
$46$	−7.05095	−	2.29099i	−1.03961	−	0.337788i
$47$	−2.63709	−	3.62964i	−0.384659	−	0.529437i	0.572153	−	0.820147i	$-0.306109\pi$
$47$	−2.63709	−	3.62964i	−0.384659	−	0.529437i	−0.956811	+	0.290710i	$0.906109\pi$
$48$	1.49594	−	0.873027i	0.215920	−	0.126011i
$49$	2.01491	+	6.20126i	0.287845	+	0.885894i
$50$	−0.997118	−	3.06881i	−0.141014	−	0.433996i
$51$	−2.03220	+	1.18599i	−0.284566	+	0.166072i
$52$	4.15839	+	5.72353i	0.576665	+	0.793711i
$53$	9.71666	+	3.15713i	1.33469	+	0.433666i	0.887513	−	0.460782i	$-0.152431\pi$
$53$	9.71666	+	3.15713i	1.33469	+	0.433666i	0.447172	+	0.894448i	$0.352431\pi$
$54$	4.91883	−	1.67483i	0.669369	−	0.227916i
$55$		0			0
$56$		−	0.692538i		−	0.0925443i
$57$	−4.70215	+	5.27162i	−0.622816	+	0.698243i
$58$	4.48276	−	3.25691i	0.588615	−	0.427654i
$59$	−1.36452	+	1.87810i	−0.177645	+	0.244507i	−0.888549	−	0.458782i	$-0.848286\pi$
$59$	−1.36452	+	1.87810i	−0.177645	+	0.244507i	0.710904	+	0.703289i	$0.248286\pi$
$60$	−0.496190	+	4.94308i	−0.0640579	+	0.638149i
$61$	3.94093	−	1.28049i	0.504585	−	0.163950i	−0.0456533	−	0.998957i	$-0.514537\pi$
$61$	3.94093	−	1.28049i	0.504585	−	0.163950i	0.550238	+	0.835008i	$0.314537\pi$
$62$	−5.78190	−	4.20080i	−0.734302	−	0.533502i
$63$	0.412944	−	2.03616i	0.0520261	−	0.256532i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−20.2918			−2.51689
$66$		0			0
$67$	5.53403			0.676090			0.338045	−	0.941130i	$-0.390234\pi$
$67$	5.53403			0.676090			0.338045	+	0.941130i	$0.390234\pi$
$68$	−0.419795	+	1.29200i	−0.0509076	+	0.156677i
$69$	−12.5479	+	2.72849i	−1.51059	+	0.328472i
$70$	1.60700	+	1.16755i	0.192073	+	0.139549i
$71$	8.06998	−	2.62210i	0.957731	−	0.311186i	0.211878	−	0.977296i	$-0.432042\pi$
$71$	8.06998	−	2.62210i	0.957731	−	0.311186i	0.745853	+	0.666111i	$0.232042\pi$
$72$	1.47565	−	2.61198i	0.173907	−	0.307825i
$73$	−4.33645	+	5.96861i	−0.507543	+	0.698573i	−0.983503	−	0.180894i	$-0.942101\pi$
$73$	−4.33645	+	5.96861i	−0.507543	+	0.698573i	0.475960	+	0.879467i	$0.342101\pi$
$74$	−4.38064	+	3.18272i	−0.509240	+	0.369984i
$75$	−4.17078	−	3.72024i	−0.481600	−	0.429576i
$76$			4.07841i			0.467825i
$77$		0			0
$78$	11.2175	+	4.93165i	1.27013	+	0.558399i
$79$	12.7041	+	4.12782i	1.42933	+	0.464416i	0.918552	−	0.395299i	$-0.129359\pi$
$79$	12.7041	+	4.12782i	1.42933	+	0.464416i	0.510773	+	0.859715i	$0.329359\pi$
$80$	1.68590	+	2.32045i	0.188490	+	0.259434i
$81$	5.89608	−	6.79972i	0.655120	−	0.755524i
$82$	−0.859493	−	2.64525i	−0.0949152	−	0.292119i
$83$	−1.89311	−	5.82638i	−0.207795	−	0.639529i	−0.999587	−	0.0287372i	$-0.990851\pi$
$83$	−1.89311	−	5.82638i	−0.207795	−	0.639529i	0.791792	−	0.610791i	$-0.209149\pi$
$84$	−0.604604	−	1.03599i	−0.0659677	−	0.113036i
$85$	−2.29027	−	3.15229i	−0.248415	−	0.341914i
$86$	3.34192	+	1.08586i	0.360369	+	0.117091i
$87$	3.86254	−	8.78570i	0.414108	−	0.941926i
$88$		0			0
$89$			1.79675i			0.190456i	0.995456	+	0.0952278i	$0.0303580\pi$
$89$			1.79675i			0.190456i	−0.995456	+	0.0952278i	$0.969642\pi$
$90$	3.57317	+	7.82772i	0.376645	+	0.825114i
$91$	3.96376	−	2.87984i	0.415515	−	0.301889i
$92$	−4.35773	+	5.99790i	−0.454324	+	0.625324i
$93$	−12.3168	−	1.23637i	−1.27719	−	0.128205i
$94$	−4.26690	+	1.38640i	−0.440097	+	0.142996i
$95$	−9.46372	−	6.87580i	−0.970958	−	0.705442i
$96$	−0.368028	−	1.69250i	−0.0375617	−	0.172740i
$97$	−2.19791	+	6.76446i	−0.223164	+	0.686827i	0.775309	+	0.631582i	$0.217594\pi$
$97$	−2.19791	+	6.76446i	−0.223164	+	0.686827i	−0.998473	+	0.0552453i	$0.982406\pi$
$98$	6.52039			0.658659
$99$		0			0
$100$	−3.22674			−0.322674
$101$	3.18557	−	9.80419i	0.316976	−	0.975553i	−0.657957	−	0.753056i	$-0.728579\pi$
$101$	3.18557	−	9.80419i	0.316976	−	0.975553i	0.974933	−	0.222497i	$-0.0714209\pi$
$102$	0.499961	+	2.29923i	0.0495035	+	0.227658i
$103$	−0.0910784	−	0.0661723i	−0.00897422	−	0.00652015i	0.583289	−	0.812265i	$-0.301765\pi$
$103$	−0.0910784	−	0.0661723i	−0.00897422	−	0.00652015i	−0.592263	+	0.805744i	$0.701765\pi$
$104$	6.72841	−	2.18619i	0.659775	−	0.214374i
$105$	3.42327	+	0.343631i	0.334077	+	0.0335349i
$106$	6.00523	−	8.26548i	0.583279	−	0.802815i
$107$	12.4916	−	9.07568i	1.20761	−	0.877379i	0.212598	−	0.977140i	$-0.431808\pi$
$107$	12.4916	−	9.07568i	1.20761	−	0.877379i	0.995011	+	0.0997605i	$0.0318077\pi$
$108$	−0.0728588	−	5.19564i	−0.00701084	−	0.499951i
$109$			6.46880i			0.619599i	0.950802	+	0.309799i	$0.100262\pi$
$109$			6.46880i			0.619599i	−0.950802	+	0.309799i	$0.899738\pi$
$110$		0			0
$111$	−3.77456	+	8.58557i	−0.358265	+	0.814906i
$112$	−0.658643	−	0.214006i	−0.0622359	−	0.0202217i
$113$	1.69888	+	2.33831i	0.159817	+	0.219969i	0.881415	−	0.472344i	$-0.156592\pi$
$113$	1.69888	+	2.33831i	0.159817	+	0.219969i	−0.721597	+	0.692313i	$0.756592\pi$
$114$	3.56056	+	6.10103i	0.333477	+	0.571414i
$115$	−6.57109	−	20.2237i	−0.612757	−	1.88587i
$116$	−1.71226	−	5.26980i	−0.158979	−	0.489289i
$117$	21.0861	−	2.41573i	1.94941	−	0.223334i
$118$	1.36452	+	1.87810i	0.125614	+	0.172893i
$119$	0.894756	+	0.290724i	0.0820221	+	0.0266506i
$120$	4.54782	+	1.99940i	0.415157	+	0.182519i
$121$		0			0
$122$		−	4.14374i		−	0.375157i
$123$	−3.59512	−	3.20676i	−0.324161	−	0.289144i
$124$	−5.78190	+	4.20080i	−0.519230	+	0.377243i
$125$	−2.98954	+	4.11475i	−0.267393	+	0.368034i
$126$	−1.80890	−	1.02194i	−0.161149	−	0.0910418i
$127$	5.14137	−	1.67053i	0.456222	−	0.148236i	−0.0718855	−	0.997413i	$-0.522902\pi$
$127$	5.14137	−	1.67053i	0.456222	−	0.148236i	0.528108	+	0.849177i	$0.322902\pi$
$128$	−0.809017	−	0.587785i	−0.0715077	−	0.0519534i
$129$	5.94728	−	1.29322i	0.523629	−	0.113861i
$130$	−6.27051	+	19.2986i	−0.549960	+	1.69260i
$131$	6.03122			0.526950			0.263475	−	0.964666i	$-0.415131\pi$
$131$	6.03122			0.526950			0.263475	+	0.964666i	$0.415131\pi$
$132$		0			0
$133$	2.82445			0.244911
$134$	1.71011	−	5.26318i	0.147731	−	0.454669i
$135$	12.1790	+	8.59028i	1.04821	+	0.739334i
$136$	1.09904	+	0.798497i	0.0942416	+	0.0684705i
$137$	−7.28285	+	2.36634i	−0.622216	+	0.202170i	−0.603124	−	0.797647i	$-0.706078\pi$
$137$	−7.28285	+	2.36634i	−0.622216	+	0.202170i	−0.0190922	+	0.999818i	$0.506078\pi$
$138$	−1.28255	+	12.7769i	−0.109178	+	1.08764i
$139$	4.16042	−	5.72633i	0.352882	−	0.485701i	−0.595266	−	0.803529i	$-0.702953\pi$
$139$	4.16042	−	5.72633i	0.352882	−	0.485701i	0.948148	+	0.317828i	$0.102953\pi$
$140$	1.60700	−	1.16755i	0.135816	−	0.0986762i
$141$	−5.17264	+	5.79908i	−0.435615	+	0.488371i
$142$		−	8.48528i		−	0.712069i
$143$		0			0
$144$	−2.02814	−	2.21057i	−0.169012	−	0.184214i
$145$	15.1150	+	4.91116i	1.25523	+	0.407850i
$146$	4.33645	+	5.96861i	0.358887	+	0.493966i
$147$	9.75409	−	5.69248i	0.804503	−	0.469508i
$148$	1.67326	+	5.14976i	0.137541	+	0.423307i
$149$	−4.27084	−	13.1443i	−0.349881	−	1.07682i	−0.958919	−	0.283681i	$-0.908444\pi$
$149$	−4.27084	−	13.1443i	−0.349881	−	1.07682i	0.609038	−	0.793141i	$-0.291556\pi$
$150$	−4.82700	+	2.81703i	−0.394123	+	0.230010i
$151$	−0.158816	−	0.218592i	−0.0129243	−	0.0177888i	0.802506	−	0.596644i	$-0.203500\pi$
$151$	−0.158816	−	0.218592i	−0.0129243	−	0.0177888i	−0.815430	+	0.578855i	$0.803500\pi$
$152$	3.87879	+	1.26030i	0.314612	+	0.102224i
$153$	2.75520	+	3.00303i	0.222745	+	0.242780i
$154$		0			0
$155$		−	20.4987i		−	1.64650i
$156$	8.15667	−	9.14449i	0.653056	−	0.732145i
$157$	−5.11195	+	3.71405i	−0.407978	+	0.296413i	−0.772783	−	0.634671i	$-0.781136\pi$
$157$	−5.11195	+	3.71405i	−0.407978	+	0.296413i	0.364805	+	0.931084i	$0.381136\pi$
$158$	7.85158	−	10.8068i	0.624638	−	0.859741i
$159$	1.76744	−	17.6074i	0.140167	−	1.39635i
$160$	2.72785	−	0.886332i	0.215655	−	0.0700707i
$161$	4.15377	+	3.01789i	0.327363	+	0.237843i
$162$	−4.64493	−	7.70874i	−0.364940	−	0.605656i
$163$	2.35020	−	7.23317i	0.184082	−	0.566546i	−0.815850	−	0.578264i	$-0.803730\pi$
$163$	2.35020	−	7.23317i	0.184082	−	0.566546i	0.999931	+	0.0117187i	$0.00373025\pi$
$164$	−2.78138			−0.217189
$165$		0			0
$166$	−6.12622			−0.475487
$167$	1.02416	−	3.15204i	0.0792519	−	0.243912i	−0.903579	−	0.428422i	$-0.859070\pi$
$167$	1.02416	−	3.15204i	0.0792519	−	0.243912i	0.982831	+	0.184510i	$0.0590697\pi$
$168$	−1.17212	+	0.254874i	−0.0904310	+	0.0196639i
$169$	29.9749	+	21.7780i	2.30576	+	1.67523i
$170$	−3.70574	+	1.20407i	−0.284217	+	0.0923478i
$171$	10.6527	+	6.01829i	0.814635	+	0.460230i
$172$	2.06542	−	2.84281i	0.157487	−	0.216762i
$173$	−9.08263	+	6.59891i	−0.690539	+	0.501706i	−0.876837	−	0.480787i	$-0.840351\pi$
$173$	−9.08263	+	6.59891i	−0.690539	+	0.501706i	0.186298	+	0.982493i	$0.440351\pi$
$174$	−7.16211	−	6.38843i	−0.542958	−	0.484306i
$175$			2.23464i			0.168923i
$176$		0			0
$177$	3.68086	+	1.61825i	0.276670	+	0.121635i
$178$	1.70882	+	0.555228i	0.128081	+	0.0416161i
$179$	−7.56078	−	10.4065i	−0.565119	−	0.777820i	0.426847	−	0.904324i	$-0.359624\pi$
$179$	−7.56078	−	10.4065i	−0.565119	−	0.777820i	−0.991966	+	0.126504i	$0.959624\pi$
$180$	8.54877	−	0.979391i	0.637188	−	0.0729995i
$181$	0.426030	+	1.31119i	0.0316666	+	0.0974597i	0.965641	−	0.259881i	$-0.0836834\pi$
$181$	0.426030	+	1.31119i	0.0316666	+	0.0974597i	−0.933974	+	0.357341i	$0.883683\pi$
$182$	−1.51402	−	4.65968i	−0.112227	−	0.345399i
$183$	−3.61760	−	6.19877i	−0.267421	−	0.458226i
$184$	4.35773	+	5.99790i	0.321256	+	0.442171i
$185$	−14.7707	−	4.79929i	−1.08596	−	0.352851i
$186$	−4.98194	+	11.3319i	−0.365294	+	0.830894i
$187$		0			0
$188$			4.48648i			0.327210i
$189$	−3.59818	+	0.0504575i	−0.261729	+	0.00367024i
$190$	−9.46372	+	6.87580i	−0.686571	+	0.498823i
$191$	3.93777	−	5.41988i	0.284927	−	0.392169i	−0.642431	−	0.766344i	$-0.722074\pi$
$191$	3.93777	−	5.41988i	0.284927	−	0.392169i	0.927358	+	0.374175i	$0.122074\pi$
$192$	−1.72339	−	0.172995i	−0.124375	−	0.0124849i
$193$	−12.6176	+	4.09969i	−0.908232	+	0.295102i	−0.725631	−	0.688085i	$-0.758452\pi$
$193$	−12.6176	+	4.09969i	−0.908232	+	0.295102i	−0.182601	+	0.983187i	$0.558452\pi$
$194$	5.75420	+	4.18067i	0.413127	+	0.300155i
$195$	7.46795	+	34.3438i	0.534791	+	2.45941i
$196$	2.01491	−	6.20126i	0.143922	−	0.442947i
$197$	−0.314252			−0.0223895			−0.0111948	−	0.999937i	$-0.503563\pi$
$197$	−0.314252			−0.0223895			−0.0111948	+	0.999937i	$0.503563\pi$
$198$		0			0
$199$	−9.31425			−0.660270			−0.330135	−	0.943934i	$-0.607094\pi$
$199$	−9.31425			−0.660270			−0.330135	+	0.943934i	$0.607094\pi$
$200$	−0.997118	+	3.06881i	−0.0705069	+	0.216998i
$201$	−2.03668	−	9.36635i	−0.143656	−	0.660651i
$202$	−8.33994	−	6.05932i	−0.586796	−	0.426332i
$203$	−3.64954	+	1.18581i	−0.256147	+	0.0832273i
$204$	2.34120	+	0.235011i	0.163917	+	0.0164541i
$205$	4.68914	−	6.45404i	0.327503	−	0.450770i
$206$	−0.0910784	+	0.0661723i	−0.00634573	+	0.00461044i
$207$	9.23594	+	20.2331i	0.641942	+	1.40630i
$208$		−	7.07467i		−	0.490540i
$209$		0			0
$210$	1.38466	−	3.14953i	0.0955507	−	0.217339i
$211$	−0.897403	−	0.291584i	−0.0617798	−	0.0200735i	0.277964	−	0.960591i	$-0.410340\pi$
$211$	−0.897403	−	0.291584i	−0.0617798	−	0.0200735i	−0.339744	+	0.940518i	$0.610340\pi$
$212$	−6.00523	−	8.26548i	−0.412441	−	0.567676i
$213$	−7.40788	−	12.6934i	−0.507580	−	0.869740i
$214$	−4.77137	−	14.6848i	−0.326164	−	1.00383i
$215$	3.11448	+	9.58540i	0.212406	+	0.653719i
$216$	−4.96386	−	1.53625i	−0.337748	−	0.104528i
$217$	2.90921	+	4.00419i	0.197490	+	0.271822i
$218$	6.15219	+	1.99897i	0.416679	+	0.135387i
$219$	11.6978	+	5.14282i	0.790464	+	0.347520i
$220$		0			0
$221$			9.61083i			0.646494i
$222$	6.99896	+	6.24291i	0.469739	+	0.418996i
$223$	−20.5344	+	14.9191i	−1.37508	+	0.999057i	−0.377763	+	0.925902i	$0.623307\pi$
$223$	−20.5344	+	14.9191i	−1.37508	+	0.999057i	−0.997321	+	0.0731549i	$0.976693\pi$
$224$	−0.407064	+	0.560275i	−0.0271981	+	0.0374349i
$225$	−4.76154	+	8.42820i	−0.317436	+	0.561880i
$226$	2.74884	−	0.893154i	0.182850	−	0.0594117i
$227$	−21.0013	−	15.2583i	−1.39390	−	1.01273i	−0.995424	−	0.0955526i	$-0.969538\pi$
$227$	−21.0013	−	15.2583i	−1.39390	−	1.01273i	−0.398479	−	0.917177i	$-0.630462\pi$
$228$	6.90270	−	1.50097i	0.457143	−	0.0994041i
$229$	2.55538	−	7.86466i	0.168864	−	0.519711i	−0.830436	−	0.557114i	$-0.811909\pi$
$229$	2.55538	−	7.86466i	0.168864	−	0.519711i	0.999300	+	0.0374031i	$0.0119085\pi$
$230$	−21.2645			−1.40214
$231$		0			0
$232$	−5.54099			−0.363784
$233$	8.29953	−	25.5433i	0.543720	−	1.67340i	−0.180293	−	0.983613i	$-0.557705\pi$
$233$	8.29953	−	25.5433i	0.543720	−	1.67340i	0.724013	−	0.689786i	$-0.242295\pi$
$234$	4.21846	−	20.8006i	0.275770	−	1.35978i
$235$	−10.4106	−	7.56377i	−0.679115	−	0.493406i
$236$	2.20783	−	0.717369i	0.143718	−	0.0466967i
$237$	2.31086	−	23.0209i	0.150106	−	1.49537i
$238$	0.552989	−	0.761125i	0.0358450	−	0.0493364i
$239$	−12.1450	+	8.82387i	−0.785595	+	0.570768i	−0.906653	−	0.421877i	$-0.861371\pi$
$239$	−12.1450	+	8.82387i	−0.785595	+	0.570768i	0.121058	+	0.992645i	$0.461371\pi$
$240$	3.30689	−	3.70738i	0.213459	−	0.239310i
$241$		−	9.11248i		−	0.586987i	−0.955961	−	0.293493i	$-0.905182\pi$
$241$		−	9.11248i		−	0.586987i	0.955961	−	0.293493i	$-0.0948178\pi$
$242$		0			0
$243$	−13.6784	−	7.47663i	−0.877473	−	0.479626i
$244$	−3.94093	−	1.28049i	−0.252292	−	0.0819748i
$245$	10.9927	+	15.1302i	0.702301	+	0.966634i
$246$	−4.16076	+	2.42822i	−0.265281	+	0.154818i
$247$	8.91619	+	27.4412i	0.567323	+	1.74604i
$248$	2.20849	+	6.79703i	0.140239	+	0.431612i
$249$	−9.16443	+	5.34836i	−0.580772	+	0.338938i
$250$	2.98954	+	4.11475i	0.189075	+	0.260240i
$251$	16.9481	+	5.50677i	1.06975	+	0.347584i	0.790392	−	0.612602i	$-0.209877\pi$
$251$	16.9481	+	5.50677i	1.06975	+	0.347584i	0.279362	+	0.960186i	$0.409877\pi$
$252$	−1.53091	+	1.40457i	−0.0964380	+	0.0884794i
$253$		0			0
$254$		−	5.40595i		−	0.339200i
$255$	−4.49236	+	5.03642i	−0.281323	+	0.315393i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−12.1704	+	16.7511i	−0.759170	+	1.04491i	0.238113	+	0.971238i	$0.423471\pi$
$257$	−12.1704	+	16.7511i	−0.759170	+	1.04491i	−0.997283	+	0.0736703i	$0.976529\pi$
$258$	0.607889	−	6.05583i	0.0378455	−	0.377019i
$259$	3.56640	−	1.15879i	0.221605	−	0.0720040i
$260$	16.4164	+	11.9272i	1.01810	+	0.739694i
$261$	−16.2913	−	3.30397i	−1.00841	−	0.204510i
$262$	1.86375	−	5.73603i	0.115143	−	0.354373i
$263$	19.4044			1.19652			0.598262	−	0.801300i	$-0.295858\pi$
$263$	19.4044			1.19652			0.598262	+	0.801300i	$0.295858\pi$
$264$		0			0
$265$	29.3038			1.80012
$266$	0.872803	−	2.68621i	0.0535150	−	0.164702i
$267$	3.04101	−	0.661257i	0.186107	−	0.0404683i
$268$	−4.47713	−	3.25282i	−0.273484	−	0.198698i
$269$	−6.67971	+	2.17037i	−0.407269	+	0.132330i	−0.505485	−	0.862835i	$-0.668686\pi$
$269$	−6.67971	+	2.17037i	−0.407269	+	0.132330i	0.0982161	+	0.995165i	$0.468686\pi$
$270$	11.9334	−	8.92841i	0.726242	−	0.543366i
$271$	−6.70106	+	9.22322i	−0.407060	+	0.560270i	−0.962498	−	0.271287i	$-0.912551\pi$
$271$	−6.70106	+	9.22322i	−0.407060	+	0.560270i	0.555438	+	0.831558i	$0.312551\pi$
$272$	1.09904	−	0.798497i	0.0666389	−	0.0484160i
$273$	−6.33291	−	5.64880i	−0.383285	−	0.341881i
$274$			7.65765i			0.462615i
$275$		0			0
$276$	11.7552	+	5.16805i	0.707580	+	0.311080i
$277$	16.2117	+	5.26749i	0.974065	+	0.316493i	0.752456	−	0.658643i	$-0.228869\pi$
$277$	16.2117	+	5.26749i	0.974065	+	0.316493i	0.221609	+	0.975136i	$0.428869\pi$
$278$	−4.16042	−	5.72633i	−0.249525	−	0.343442i
$279$	2.44037	+	21.3011i	0.146101	+	1.27527i
$280$	−0.613818	−	1.88914i	−0.0366827	−	0.112898i
$281$	6.55791	+	20.1832i	0.391212	+	1.20403i	0.931872	+	0.362786i	$0.118175\pi$
$281$	6.55791	+	20.1832i	0.391212	+	1.20403i	−0.540660	+	0.841241i	$0.681825\pi$
$282$	3.91682	+	6.71149i	0.233243	+	0.399663i
$283$	−12.4091	−	17.0797i	−0.737646	−	1.01528i	−0.998751	−	0.0499721i	$-0.984087\pi$
$283$	−12.4091	−	17.0797i	−0.737646	−	1.01528i	0.261105	−	0.965311i	$-0.415913\pi$
$284$	−8.06998	−	2.62210i	−0.478865	−	0.155593i
$285$	−8.15437	+	18.5478i	−0.483023	+	1.09868i
$286$		0			0
$287$			1.92621i			0.113701i
$288$	−2.72911	+	1.24578i	−0.160814	+	0.0734081i
$289$	12.2603	−	8.90760i	0.721192	−	0.523977i
$290$	9.34158	−	12.8576i	0.548556	−	0.755023i
$291$	12.2577	+	1.23044i	0.718562	+	0.0721298i
$292$	7.01652	−	2.27981i	0.410611	−	0.133416i
$293$	10.9094	+	7.92611i	0.637331	+	0.463048i	0.858932	−	0.512089i	$-0.171128\pi$
$293$	10.9094	+	7.92611i	0.637331	+	0.463048i	−0.221601	+	0.975137i	$0.571128\pi$
$294$	−2.39969	−	11.0358i	−0.139953	−	0.643619i
$295$	−2.05758	+	6.33258i	−0.119797	+	0.368697i
$296$	5.41477			0.314727
$297$		0			0
$298$	−13.8207			−0.800613
$299$	−16.2080	+	49.8831i	−0.937334	+	2.88482i
$300$	1.18753	+	5.46126i	0.0685622	+	0.315306i
$301$	−1.96875	−	1.43038i	−0.113477	−	0.0824459i
$302$	−0.256970	+	0.0834946i	−0.0147870	+	0.00480458i
$303$	−17.7660	−	1.78336i	−1.02063	−	0.102451i
$304$	2.39723	−	3.29950i	0.137490	−	0.189239i
$305$	9.61533	−	6.98595i	0.550572	−	0.400014i
$306$	3.70745	−	1.69237i	0.211941	−	0.0967462i
$307$		−	22.7504i		−	1.29844i	−0.760603	−	0.649218i	$-0.775096\pi$
$307$		−	22.7504i		−	1.29844i	0.760603	−	0.649218i	$-0.224904\pi$
$308$		0			0
$309$	−0.0784772	+	0.178503i	−0.00446441	+	0.0101547i
$310$	−19.4955	−	6.33446i	−1.10727	−	0.359773i
$311$	18.3625	+	25.2738i	1.04124	+	1.43315i	0.896163	+	0.443726i	$0.146343\pi$
$311$	18.3625	+	25.2738i	1.04124	+	1.43315i	0.145079	+	0.989420i	$0.453657\pi$
$312$	−6.17638	−	10.5833i	−0.349669	−	0.599159i
$313$	5.81386	+	17.8932i	0.328619	+	1.01138i	0.969781	+	0.243979i	$0.0784527\pi$
$313$	5.81386	+	17.8932i	0.328619	+	1.01138i	−0.641162	+	0.767406i	$0.721547\pi$
$314$	1.95259	+	6.00946i	0.110191	+	0.339133i
$315$	−0.678266	−	5.92035i	−0.0382159	−	0.333574i
$316$	−7.85158	−	10.8068i	−0.441686	−	0.607929i
$317$	−12.3614	−	4.01645i	−0.694284	−	0.225586i	−0.0594456	−	0.998232i	$-0.518933\pi$
$317$	−12.3614	−	4.01645i	−0.694284	−	0.225586i	−0.634838	+	0.772645i	$0.718933\pi$
$318$	−16.1994	−	7.12191i	−0.908418	−	0.399377i
$319$		0			0
$320$		−	2.86823i		−	0.160339i
$321$	−19.9579	−	17.8019i	−1.11394	−	0.993607i
$322$	4.15377	−	3.01789i	0.231481	−	0.168180i
$323$	−3.25659	+	4.48232i	−0.181202	+	0.249403i
$324$	−8.76681	+	2.03546i	−0.487045	+	0.113081i
$325$	−21.7109	+	7.05428i	−1.20430	+	0.391301i
$326$	−6.15290	−	4.47035i	−0.340778	−	0.247590i
$327$	10.9484	−	2.38070i	0.605450	−	0.131653i
$328$	−0.859493	+	2.64525i	−0.0474576	+	0.146059i
$329$	3.10706			0.171298
$330$		0			0
$331$	−6.62457			−0.364119			−0.182060	−	0.983287i	$-0.558276\pi$
$331$	−6.62457			−0.364119			−0.182060	+	0.983287i	$0.558276\pi$
$332$	−1.89311	+	5.82638i	−0.103898	+	0.319764i
$333$	15.9202	+	3.22870i	0.872423	+	0.176932i
$334$	−2.68129	−	1.94807i	−0.146713	−	0.106594i
$335$	15.0960	−	4.90499i	0.824783	−	0.267988i
$336$	−0.119806	+	1.19351i	−0.00653594	+	0.0651115i
$337$	0.227805	−	0.313547i	0.0124093	−	0.0170800i	−0.802767	−	0.596292i	$-0.796640\pi$
$337$	0.227805	−	0.313547i	0.0124093	−	0.0170800i	0.815177	+	0.579213i	$0.196640\pi$
$338$	29.9749	−	21.7780i	1.63042	−	1.18457i
$339$	3.33235	−	3.73592i	0.180988	−	0.202907i
$340$			3.89644i			0.211314i
$341$		0			0
$342$	9.01561	−	8.27160i	0.487508	−	0.447277i
$343$	−8.90511	−	2.89344i	−0.480831	−	0.156231i
$344$	−2.06542	−	2.84281i	−0.111360	−	0.153274i
$345$	−31.8103	+	18.5645i	−1.71261	+	0.999478i
$346$	3.46925	+	10.6773i	0.186508	+	0.574013i
$347$	−5.43464	−	16.7261i	−0.291747	−	0.897905i	−0.984295	−	0.176533i	$-0.943512\pi$
$347$	−5.43464	−	16.7261i	−0.291747	−	0.897905i	0.692548	−	0.721372i	$-0.256488\pi$
$348$	−8.28897	+	4.83744i	−0.444336	+	0.259314i
$349$	0.171310	+	0.235788i	0.00917002	+	0.0126215i	0.813577	−	0.581457i	$-0.197517\pi$
$349$	0.171310	+	0.235788i	0.00917002	+	0.0126215i	−0.804407	+	0.594078i	$0.797517\pi$
$350$	2.12527	+	0.690542i	0.113600	+	0.0369110i
$351$	−11.8489	−	34.7991i	−0.632448	−	1.85744i
$352$		0			0
$353$			18.9026i			1.00608i	0.864263	+	0.503041i	$0.167785\pi$
$353$			18.9026i			1.00608i	−0.864263	+	0.503041i	$0.832215\pi$
$354$	2.67650	−	3.00064i	0.142254	−	0.159482i
$355$	19.6896	−	14.3054i	1.04502	−	0.759250i
$356$	1.05611	−	1.45360i	0.0559735	−	0.0770409i
$357$	0.162754	−	1.62137i	0.00861387	−	0.0858119i
$358$	−12.2336	+	3.97494i	−0.646566	+	0.210082i
$359$	18.3797	+	13.3537i	0.970046	+	0.704780i	0.955462	−	0.295114i	$-0.0953577\pi$
$359$	18.3797	+	13.3537i	0.970046	+	0.704780i	0.0145838	+	0.999894i	$0.495358\pi$
$360$	1.71026	−	8.43301i	0.0901386	−	0.444459i
$361$	0.731321	−	2.25078i	0.0384906	−	0.118462i
$362$	1.37866			0.0724609
$363$		0			0
$364$	−4.89948			−0.256802
$365$	−6.53901	+	20.1250i	−0.342267	+	1.05339i
$366$	−7.01328	+	1.52502i	−0.366590	+	0.0797138i
$367$	−20.8081	−	15.1180i	−1.08617	−	0.789151i	−0.107424	−	0.994213i	$-0.534260\pi$
$367$	−20.8081	−	15.1180i	−1.08617	−	0.789151i	−0.978749	+	0.205063i	$0.934260\pi$
$368$	7.05095	−	2.29099i	0.367556	−	0.119426i
$369$	−4.10434	+	7.26492i	−0.213663	+	0.378197i
$370$	−9.12878	+	12.5647i	−0.474583	+	0.653207i
$371$	−5.72416	+	4.15885i	−0.297184	+	0.215917i
$372$	9.23775	+	8.23985i	0.478955	+	0.427217i
$373$			15.4647i			0.800730i	0.916356	+	0.400365i	$0.131117\pi$
$373$			15.4647i			0.800730i	−0.916356	+	0.400365i	$0.868883\pi$
$374$		0			0
$375$	8.06445	+	3.54545i	0.416446	+	0.183086i
$376$	4.26690	+	1.38640i	0.220048	+	0.0714981i
$377$	−23.0416	−	31.7140i	−1.18670	−	1.63336i
$378$	−1.06391	+	3.43766i	−0.0547217	+	0.176814i
$379$	−5.36506	−	16.5120i	−0.275585	−	0.848163i	−0.989064	−	0.147487i	$-0.952882\pi$
$379$	−5.36506	−	16.5120i	−0.275585	−	0.848163i	0.713479	−	0.700676i	$-0.247118\pi$
$380$	3.61482	+	11.1253i	0.185436	+	0.570715i
$381$	−4.71954	−	8.08696i	−0.241789	−	0.414307i
$382$	−3.93777	−	5.41988i	−0.201474	−	0.277305i
$383$	−12.8098	−	4.16216i	−0.654551	−	0.212676i	−0.0371312	−	0.999310i	$-0.511822\pi$
$383$	−12.8098	−	4.16216i	−0.654551	−	0.212676i	−0.617420	+	0.786634i	$0.711822\pi$
$384$	−0.697085	+	1.58558i	−0.0355730	+	0.0809139i
$385$		0			0
$386$			13.2669i			0.675267i
$387$	−4.37754	−	9.58983i	−0.222523	−	0.487478i
$388$	5.75420	−	4.18067i	0.292125	−	0.212241i
$389$	7.54413	−	10.3836i	0.382503	−	0.526470i	−0.573743	−	0.819036i	$-0.694509\pi$
$389$	7.54413	−	10.3836i	0.382503	−	0.526470i	0.956245	+	0.292566i	$0.0945090\pi$
$390$	34.9707	+	3.51038i	1.77081	+	0.177755i
$391$	−9.57860	+	3.11228i	−0.484411	+	0.157395i
$392$	−5.27511	−	3.83259i	−0.266433	−	0.193575i
$393$	−2.21966	−	10.2078i	−0.111967	−	0.514917i
$394$	−0.0971093	+	0.298872i	−0.00489229	+	0.0150569i
$395$	38.3135			1.92776
$396$		0			0
$397$	13.4148			0.673268			0.336634	−	0.941636i	$-0.390711\pi$
$397$	13.4148			0.673268			0.336634	+	0.941636i	$0.390711\pi$
$398$	−2.87826	+	8.85838i	−0.144274	+	0.444030i
$399$	−1.03948	−	4.78038i	−0.0520390	−	0.239318i
$400$	2.61049	+	1.89663i	0.130524	+	0.0948316i
$401$	−19.3407	+	6.28419i	−0.965831	+	0.313817i	−0.749132	−	0.662421i	$-0.769529\pi$
$401$	−19.3407	+	6.28419i	−0.965831	+	0.313817i	−0.216699	+	0.976238i	$0.569529\pi$
$402$	−9.53730	−	0.957362i	−0.475677	−	0.0477489i
$403$	−29.7193	+	40.9051i	−1.48042	+	2.03763i
$404$	−8.33994	+	6.05932i	−0.414927	+	0.301462i
$405$	10.0568	−	23.7745i	0.499727	−	1.18136i
$406$			3.83735i			0.190444i
$407$		0			0
$408$	0.946979	−	2.15399i	0.0468824	−	0.106638i
$409$	−23.1364	−	7.51747i	−1.14402	−	0.371715i	−0.325133	−	0.945668i	$-0.605409\pi$
$409$	−23.1364	−	7.51747i	−1.14402	−	0.371715i	−0.818888	+	0.573953i	$0.805409\pi$
$410$	−4.68914	−	6.45404i	−0.231580	−	0.318742i
$411$	6.68533	+	11.4553i	0.329763	+	0.565051i
$412$	0.0347888	+	0.107069i	0.00171392	+	0.00527491i
$413$	−0.496805	−	1.52901i	−0.0244462	−	0.0752376i
$414$	22.0969	−	2.53153i	1.08600	−	0.124418i
$415$	−10.3282	−	14.2156i	−0.506992	−	0.697815i
$416$	−6.72841	−	2.18619i	−0.329888	−	0.107187i
$417$	−11.2230	−	4.93406i	−0.549591	−	0.241622i
$418$		0			0
$419$			36.1710i			1.76707i	0.468365	+	0.883535i	$0.344843\pi$
$419$			36.1710i			1.76707i	−0.468365	+	0.883535i	$0.655157\pi$
$420$	−2.56750	−	2.29015i	−0.125281	−	0.111748i
$421$	23.6629	−	17.1921i	1.15326	−	0.837893i	0.164350	−	0.986402i	$-0.447447\pi$
$421$	23.6629	−	17.1921i	1.15326	−	0.837893i	0.988911	+	0.148509i	$0.0474474\pi$
$422$	−0.554625	+	0.763377i	−0.0269987	+	0.0371606i
$423$	11.7186	+	6.62047i	0.569779	+	0.321898i
$424$	−9.71666	+	3.15713i	−0.471883	+	0.153324i
$425$	−3.54631	−	2.57654i	−0.172021	−	0.124981i
$426$	−14.3613	+	3.12282i	−0.695809	+	0.151301i
$427$	−0.886786	+	2.72925i	−0.0429146	+	0.132077i
$428$	−15.4405			−0.746343
$429$		0			0
$430$	10.0787			0.486037
$431$	7.50406	−	23.0951i	0.361458	−	1.11245i	−0.590711	−	0.806883i	$-0.701153\pi$
$431$	7.50406	−	23.0951i	0.361458	−	1.11245i	0.952169	−	0.305571i	$-0.0988472\pi$
$432$	−2.99498	+	4.24619i	−0.144096	+	0.204295i
$433$	−0.442140	−	0.321234i	−0.0212479	−	0.0154375i	0.577111	−	0.816666i	$-0.304180\pi$
$433$	−0.442140	−	0.321234i	−0.0212479	−	0.0154375i	−0.598359	+	0.801228i	$0.704180\pi$
$434$	4.70720	−	1.52946i	0.225953	−	0.0734166i
$435$	2.74939	−	27.3896i	0.131823	−	1.31323i
$436$	3.80227	−	5.23337i	0.182095	−	0.250633i
$437$	−24.4619	+	17.7726i	−1.17017	+	0.850178i
$438$	8.50593	−	9.53606i	0.406429	−	0.455650i
$439$			23.6963i			1.13096i	0.824762	+	0.565480i	$0.191309\pi$
$439$			23.6963i			1.13096i	−0.824762	+	0.565480i	$0.808691\pi$
$440$		0			0
$441$	−13.2243	−	14.4138i	−0.629728	−	0.686371i
$442$	9.14044	+	2.96991i	0.434766	+	0.141264i
$443$	6.45696	+	8.88724i	0.306779	+	0.422246i	0.934374	−	0.356295i	$-0.115960\pi$
$443$	6.45696	+	8.88724i	0.306779	+	0.422246i	−0.627594	+	0.778541i	$0.715960\pi$
$444$	8.10015	−	4.72724i	0.384416	−	0.224345i
$445$	1.59252	+	4.90127i	0.0754927	+	0.232343i
$446$	7.84344	+	24.1396i	0.371397	+	1.14304i
$447$	−20.6749	+	12.0659i	−0.977890	+	0.570696i
$448$	0.407064	+	0.560275i	0.0192319	+	0.0264705i
$449$	−8.08026	−	2.62544i	−0.381331	−	0.123902i	0.112078	−	0.993699i	$-0.464249\pi$
$449$	−8.08026	−	2.62544i	−0.381331	−	0.123902i	−0.493409	+	0.869797i	$0.664249\pi$
$450$	6.54430	+	7.13295i	0.308501	+	0.336250i
$451$		0			0
$452$		−	2.89031i		−	0.135949i
$453$	−0.311518	+	0.349244i	−0.0146364	+	0.0164089i
$454$	−21.0013	+	15.2583i	−0.985639	+	0.716108i
$455$	8.26005	−	11.3690i	0.387237	−	0.532986i
$456$	0.705545	−	7.02868i	0.0330402	−	0.329148i
$457$	21.0831	−	6.85031i	0.986225	−	0.320444i	0.228877	−	0.973455i	$-0.426495\pi$
$457$	21.0831	−	6.85031i	0.986225	−	0.320444i	0.757348	+	0.653012i	$0.226495\pi$
$458$	−6.69008	−	4.86063i	−0.312607	−	0.227122i
$459$	4.06863	−	5.76838i	0.189907	−	0.269245i
$460$	−6.57109	+	20.2237i	−0.306379	+	0.942937i
$461$	−29.1890			−1.35947			−0.679735	−	0.733458i	$-0.737905\pi$
$461$	−29.1890			−1.35947			−0.679735	+	0.733458i	$0.737905\pi$
$462$		0			0
$463$	−13.8641			−0.644318			−0.322159	−	0.946686i	$-0.604409\pi$
$463$	−13.8641			−0.644318			−0.322159	+	0.946686i	$0.604409\pi$
$464$	−1.71226	+	5.26980i	−0.0794897	+	0.244644i
$465$	−34.6941	+	7.54412i	−1.60890	+	0.349850i
$466$	−21.7285	−	15.7866i	−1.00655	−	0.731302i
$467$	2.54737	−	0.827690i	0.117878	−	0.0383009i	−0.249484	−	0.968379i	$-0.580261\pi$
$467$	2.54737	−	0.827690i	0.117878	−	0.0383009i	0.367362	+	0.930078i	$0.380261\pi$
$468$	−18.4789	−	10.4397i	−0.854189	−	0.482576i
$469$	−2.25270	+	3.10058i	−0.104020	+	0.143171i
$470$	−10.4106	+	7.56377i	−0.480207	+	0.348891i
$471$	8.16737	+	7.28510i	0.376333	+	0.335680i
$472$		−	2.32145i		−	0.106854i
$473$		0			0
$474$	−21.1801	−	9.31160i	−0.972833	−	0.427696i
$475$	−12.5159	−	4.06665i	−0.574268	−	0.186591i
$476$	−0.552989	−	0.761125i	−0.0253462	−	0.0348861i
$477$	−30.4509	+	3.48861i	−1.39425	+	0.159733i
$478$	4.63898	+	14.2773i	0.212182	+	0.653029i
$479$	4.46759	+	13.7498i	0.204129	+	0.628246i	0.999748	+	0.0224478i	$0.00714594\pi$
$479$	4.46759	+	13.7498i	0.204129	+	0.628246i	−0.795619	+	0.605798i	$0.792854\pi$
$480$	−2.50404	−	4.29069i	−0.114293	−	0.195842i
$481$	22.5167	+	30.9916i	1.02667	+	1.41310i
$482$	−8.66649	−	2.81591i	−0.394748	−	0.128261i
$483$	3.57907	−	8.14092i	0.162853	−	0.370425i
$484$		0			0
$485$			20.4005i			0.926340i
$486$	−11.3376	+	10.6986i	−0.514283	+	0.485297i
$487$	−1.66474	+	1.20950i	−0.0754365	+	0.0548078i	−0.624864	−	0.780733i	$-0.714846\pi$
$487$	−1.66474	+	1.20950i	−0.0754365	+	0.0548078i	0.549428	+	0.835541i	$0.314846\pi$
$488$	−2.43563	+	3.35236i	−0.110256	+	0.151754i
$489$	−13.1071	−	1.31570i	−0.592723	−	0.0594980i
$490$	17.7866	−	5.77923i	0.803519	−	0.261079i
$491$	10.3430	+	7.51465i	0.466774	+	0.339131i	0.796183	−	0.605056i	$-0.206849\pi$
$491$	10.3430	+	7.51465i	0.466774	+	0.339131i	−0.329409	+	0.944187i	$0.606849\pi$
$492$	1.02363	+	4.70748i	0.0461486	+	0.212230i
$493$	2.32608	−	7.15894i	0.104761	−	0.322422i
$494$	28.8534			1.29818
$495$		0			0
$496$	7.14682			0.320902
$497$	−1.81590	+	5.58877i	−0.0814543	+	0.250691i
$498$	2.25462	+	10.3686i	0.101032	+	0.464629i
$499$	4.51163	+	3.27789i	0.201968	+	0.146739i	0.684172	−	0.729320i	$-0.260164\pi$
$499$	4.51163	+	3.27789i	0.201968	+	0.146739i	−0.482204	+	0.876059i	$0.660164\pi$
$500$	4.83718	−	1.57169i	0.216325	−	0.0702883i
$501$	−5.71175	−	0.573350i	−0.255182	−	0.0256154i
$502$	10.4745	−	14.4169i	0.467500	−	0.643458i
$503$	−19.4561	+	14.1357i	−0.867506	+	0.630280i	−0.929917	−	0.367770i	$-0.880121\pi$
$503$	−19.4561	+	14.1357i	−0.867506	+	0.630280i	0.0624103	+	0.998051i	$0.480121\pi$
$504$	0.862747	+	1.89001i	0.0384298	+	0.0841878i
$505$		−	29.5678i		−	1.31575i
$506$		0			0
$507$	25.8277	−	58.7474i	1.14705	−	2.60906i
$508$	−5.14137	−	1.67053i	−0.228111	−	0.0741178i
$509$	4.91072	+	6.75902i	0.217664	+	0.299588i	0.903860	−	0.427828i	$-0.140721\pi$
$509$	4.91072	+	6.75902i	0.217664	+	0.299588i	−0.686197	+	0.727416i	$0.740721\pi$
$510$	3.40170	+	5.82883i	0.150630	+	0.258105i
$511$	−1.57885	−	4.85921i	−0.0698443	−	0.214959i
$512$	0.309017	+	0.951057i	0.0136568	+	0.0420312i
$513$	6.26545	−	20.2446i	0.276626	−	0.893823i
$514$	12.1704	+	16.7511i	0.536814	+	0.738861i
$515$	−0.307099	−	0.0997824i	−0.0135324	−	0.00439694i
$516$	−5.57158	−	2.44949i	−0.245275	−	0.107833i
$517$		0			0
$518$		−	3.74994i		−	0.164763i
$519$	14.5113	+	12.9438i	0.636976	+	0.568168i
$520$	16.4164	−	11.9272i	0.719907	−	0.523043i
$521$	−0.123012	+	0.169312i	−0.00538927	+	0.00741769i	−0.811703	−	0.584070i	$-0.801459\pi$
$521$	−0.123012	+	0.169312i	−0.00538927	+	0.00741769i	0.806314	+	0.591488i	$0.201459\pi$
$522$	−8.17656	+	14.4730i	−0.357878	+	0.633466i
$523$	37.1712	−	12.0776i	1.62538	−	0.528119i	0.652179	−	0.758065i	$-0.273855\pi$
$523$	37.1712	−	12.0776i	1.62538	−	0.528119i	0.973203	+	0.229946i	$0.0738551\pi$
$524$	−4.87936	−	3.54506i	−0.213156	−	0.154867i
$525$	3.78213	−	0.822412i	0.165066	−	0.0358930i
$526$	5.99628	−	18.4546i	0.261450	−	0.804661i
$527$	−9.70885			−0.422924
$528$		0			0
$529$	−31.9645			−1.38976
$530$	9.05538	−	27.8696i	0.393341	−	1.21058i
$531$	1.38423	−	6.82541i	0.0600704	−	0.296198i
$532$	−2.28503	−	1.66017i	−0.0990686	−	0.0719775i
$533$	−18.7143	+	6.08063i	−0.810605	+	0.263381i
$534$	0.310830	−	3.09651i	0.0134509	−	0.133999i
$535$	26.0311	−	35.8288i	1.12542	−	1.54901i
$536$	−4.47713	+	3.25282i	−0.193382	+	0.140501i
$537$	−14.8304	+	16.6265i	−0.639981	+	0.717487i
$538$			7.02346i			0.302803i
$539$		0			0
$540$	−4.80381	−	14.1083i	−0.206723	−	0.607127i
$541$	0.277256	+	0.0900860i	0.0119202	+	0.00387310i	0.314971	−	0.949101i	$-0.398005\pi$
$541$	0.277256	+	0.0900860i	0.0119202	+	0.00387310i	−0.303051	+	0.952974i	$0.598005\pi$
$542$	6.70106	+	9.22322i	0.287835	+	0.396171i
$543$	2.06239	−	1.20361i	0.0885057	−	0.0516518i
$544$	−0.419795	−	1.29200i	−0.0179985	−	0.0553938i
$545$	5.73350	+	17.6459i	0.245596	+	0.755868i
$546$	−7.32931	+	4.27738i	−0.313665	+	0.183055i
$547$	−3.97083	−	5.46538i	−0.169780	−	0.233683i	0.715645	−	0.698464i	$-0.246133\pi$
$547$	−3.97083	−	5.46538i	−0.169780	−	0.233683i	−0.885425	+	0.464782i	$0.846133\pi$
$548$	7.28285	+	2.36634i	0.311108	+	0.101085i
$549$	−9.16004	+	8.40411i	−0.390941	+	0.358679i
$550$		0			0
$551$		−	22.5984i		−	0.962725i
$552$	8.54767	−	9.58285i	0.363813	−	0.407873i
$553$	−7.48410	+	5.43752i	−0.318256	+	0.231227i
$554$	10.0194	−	13.7905i	0.425682	−	0.585901i
$555$	−2.68676	+	26.7656i	−0.114047	+	1.13614i
$556$	−6.73170	+	2.18726i	−0.285488	+	0.0927606i
$557$	22.2948	+	16.1981i	0.944660	+	0.686336i	0.949538	−	0.313652i	$-0.101553\pi$
$557$	22.2948	+	16.1981i	0.944660	+	0.686336i	−0.00487765	+	0.999988i	$0.501553\pi$
$558$	21.0127	+	4.26149i	0.889539	+	0.180403i
$559$	7.68207	−	23.6430i	0.324917	−	0.999992i
$560$	−1.98636			−0.0839389
$561$		0			0
$562$	21.2219			0.895190
$563$	1.14337	−	3.51893i	0.0481873	−	0.148305i	−0.924068	−	0.382229i	$-0.875157\pi$
$563$	1.14337	−	3.51893i	0.0481873	−	0.148305i	0.972255	+	0.233924i	$0.0751566\pi$
$564$	7.59337	−	1.65115i	0.319738	−	0.0695261i
$565$	6.70680	+	4.87278i	0.282157	+	0.204999i
$566$	−20.0784	+	6.52386i	−0.843958	+	0.274218i
$567$	1.40963	+	6.07135i	0.0591990	+	0.254973i
$568$	−4.98752	+	6.86474i	−0.209272	+	0.288038i
$569$	14.2776	−	10.3733i	0.598547	−	0.434870i	−0.246816	−	0.969062i	$-0.579384\pi$
$569$	14.2776	−	10.3733i	0.598547	−	0.434870i	0.845363	+	0.534193i	$0.179384\pi$
$570$	15.1202	+	13.4869i	0.633316	+	0.564902i
$571$			38.7580i			1.62197i	0.585065	+	0.810986i	$0.301069\pi$
$571$			38.7580i			1.62197i	−0.585065	+	0.810986i	$0.698931\pi$
$572$		0			0
$573$	−10.6224	−	4.67001i	−0.443755	−	0.195092i
$574$	1.83194	+	0.595232i	0.0764635	+	0.0248445i
$575$	−14.0613	−	19.3537i	−0.586395	−	0.807104i
$576$	0.341462	+	2.98050i	0.0142276	+	0.124188i
$577$	−2.43837	−	7.50453i	−0.101511	−	0.312418i	0.887385	−	0.461029i	$-0.152520\pi$
$577$	−2.43837	−	7.50453i	−0.101511	−	0.312418i	−0.988896	+	0.148611i	$0.952520\pi$
$578$	−4.68300	−	14.4128i	−0.194787	−	0.599494i
$579$	11.5824	+	19.8464i	0.481346	+	0.824789i
$580$	−9.34158	−	12.8576i	−0.387888	−	0.533882i
$581$	4.03499	+	1.31105i	0.167400	+	0.0543914i
$582$	4.95807	−	11.2776i	0.205519	−	0.467471i
$583$		0			0
$584$		−	7.37761i		−	0.305288i
$585$	55.3785	−	25.2790i	2.28962	−	1.04516i
$586$	10.9094	−	7.92611i	0.450661	−	0.327425i
$587$	24.6761	−	33.9638i	1.01849	−	1.40183i	0.105237	−	0.994447i	$-0.466440\pi$
$587$	24.6761	−	33.9638i	1.01849	−	1.40183i	0.913255	−	0.407388i	$-0.133560\pi$
$588$	−11.2372	−	1.12800i	−0.463413	−	0.0465178i
$589$	−27.7211	+	9.00712i	−1.14223	+	0.371132i
$590$	5.38681	+	3.91375i	0.221771	+	0.161126i
$591$	0.115654	+	0.531872i	0.00475736	+	0.0218783i
$592$	1.67326	−	5.14976i	0.0687704	−	0.211654i
$593$	46.0907			1.89272			0.946360	−	0.323114i	$-0.104730\pi$
$593$	46.0907			1.89272			0.946360	+	0.323114i	$0.104730\pi$
$594$		0			0
$595$	2.69844			0.110625
$596$	−4.27084	+	13.1443i	−0.174940	+	0.538411i
$597$	3.42791	+	15.7644i	0.140295	+	0.645193i
$598$	42.4331	+	30.8295i	1.73522	+	1.26071i
$599$	10.1172	−	3.28727i	0.413376	−	0.134314i	−0.0949430	−	0.995483i	$-0.530267\pi$
$599$	10.1172	−	3.28727i	0.413376	−	0.134314i	0.508320	+	0.861169i	$0.330267\pi$
$600$	5.56094	+	0.558211i	0.227024	+	0.0227889i
$601$	2.15525	−	2.96644i	0.0879144	−	0.121004i	−0.762794	−	0.646641i	$-0.776173\pi$
$601$	2.15525	−	2.96644i	0.0879144	−	0.121004i	0.850709	+	0.525637i	$0.176173\pi$
$602$	−1.96875	+	1.43038i	−0.0802404	+	0.0582980i
$603$	−15.1030	+	6.89417i	−0.615041	+	0.280752i
$604$			0.270194i			0.0109941i
$605$		0			0
$606$	−7.18606	+	16.3453i	−0.291914	+	0.663984i
$607$	33.5538	+	10.9023i	1.36191	+	0.442510i	0.896679	−	0.442681i	$-0.145973\pi$
$607$	33.5538	+	10.9023i	1.36191	+	0.442510i	0.465228	+	0.885191i	$0.345973\pi$
$608$	−2.39723	−	3.29950i	−0.0972204	−	0.133812i
$609$	3.35011	+	5.74043i	0.135753	+	0.232614i
$610$	−3.67273	−	11.3035i	−0.148705	−	0.457665i
$611$	9.80832	+	30.1869i	0.396802	+	1.22123i
$612$	−0.463871	−	4.04897i	−0.0187509	−	0.163670i
$613$	20.1951	+	27.7962i	0.815673	+	1.12268i	0.990423	+	0.138065i	$0.0440881\pi$
$613$	20.1951	+	27.7962i	0.815673	+	1.12268i	−0.174750	+	0.984613i	$0.555912\pi$
$614$	−21.6369	−	7.03027i	−0.873196	−	0.283719i
$615$	−12.6492	−	5.56109i	−0.510065	−	0.224245i
$616$		0			0
$617$		−	23.7843i		−	0.957519i	−0.877946	−	0.478760i	$-0.841087\pi$
$617$		−	23.7843i		−	0.957519i	0.877946	−	0.478760i	$-0.158913\pi$
$618$	0.145516	+	0.129797i	0.00585351	+	0.00522119i
$619$	−28.9875	+	21.0607i	−1.16511	+	0.846500i	−0.990415	−	0.138123i	$-0.955893\pi$
$619$	−28.9875	+	21.0607i	−1.16511	+	0.846500i	−0.174692	+	0.984623i	$0.555893\pi$
$620$	−12.0489	+	16.5838i	−0.483894	+	0.666022i
$621$	30.8454	−	23.0782i	1.23778	−	0.926096i
$622$	29.7111	−	9.65373i	1.19131	−	0.387079i
$623$	−1.00668	−	0.731393i	−0.0403316	−	0.0293027i
$624$	−11.9739	+	2.60368i	−0.479339	+	0.104231i
$625$	−9.49357	+	29.2182i	−0.379743	+	1.16873i
$626$	18.8140			0.751960
$627$		0			0
$628$	6.31872			0.252144
$629$	−2.27309	+	6.99586i	−0.0906342	+	0.278943i
$630$	−5.84018	−	1.18442i	−0.232678	−	0.0471884i
$631$	20.0847	+	14.5924i	0.799561	+	0.580915i	0.910785	−	0.412880i	$-0.135477\pi$
$631$	20.0847	+	14.5924i	0.799561	+	0.580915i	−0.111225	+	0.993795i	$0.535477\pi$
$632$	−12.7041	+	4.12782i	−0.505343	+	0.164196i
$633$	−0.163236	+	1.62617i	−0.00648804	+	0.0646343i
$634$	−7.63975	+	10.5152i	−0.303413	+	0.417612i
$635$	12.5442	−	9.11391i	0.497802	−	0.361675i
$636$	−11.7792	+	13.2058i	−0.467077	+	0.523643i
$637$		−	46.1296i		−	1.82772i
$638$		0			0
$639$	−18.7573	+	17.2094i	−0.742028	+	0.680793i
$640$	−2.72785	−	0.886332i	−0.107828	−	0.0350353i
$641$	3.30457	+	4.54835i	0.130523	+	0.179649i	0.869276	−	0.494326i	$-0.164585\pi$
$641$	3.30457	+	4.54835i	0.130523	+	0.179649i	−0.738754	+	0.673976i	$0.764585\pi$
$642$	−23.0980	+	13.4799i	−0.911604	+	0.532011i
$643$	−12.9687	−	39.9137i	−0.511438	−	1.57404i	−0.789672	−	0.613530i	$-0.789749\pi$
$643$	−12.9687	−	39.9137i	−0.511438	−	1.57404i	0.278234	−	0.960513i	$-0.410251\pi$
$644$	−1.58660	−	4.88305i	−0.0625208	−	0.192419i
$645$	15.0771	−	8.79896i	0.593659	−	0.346459i
$646$	3.25659	+	4.48232i	0.128129	+	0.176354i
$647$	29.4959	+	9.58379i	1.15960	+	0.376778i	0.824753	−	0.565494i	$-0.191314\pi$
$647$	29.4959	+	9.58379i	1.15960	+	0.376778i	0.334850	+	0.942271i	$0.391314\pi$
$648$	−0.773258	+	8.96672i	−0.0303764	+	0.352246i
$649$		0			0
$650$			22.8281i			0.895393i
$651$	5.70641	−	6.39750i	0.223652	−	0.250738i
$652$	−6.15290	+	4.47035i	−0.240966	+	0.175072i
$653$	24.5428	−	33.7803i	0.960435	−	1.32193i	0.0137017	−	0.999906i	$-0.495638\pi$
$653$	24.5428	−	33.7803i	0.960435	−	1.32193i	0.946733	−	0.322019i	$-0.104362\pi$
$654$	1.11907	−	11.1483i	0.0437592	−	0.435932i
$655$	16.4523	−	5.34566i	0.642843	−	0.208872i
$656$	2.25018	+	1.63485i	0.0878549	+	0.0638303i
$657$	4.39910	−	21.6912i	0.171625	−	0.846256i
$658$	0.960134	−	2.95499i	0.0374299	−	0.115197i
$659$	−38.5660			−1.50232			−0.751159	−	0.660122i	$-0.770505\pi$
$659$	−38.5660			−1.50232			−0.751159	+	0.660122i	$0.770505\pi$
$660$		0			0
$661$	18.7714			0.730123			0.365061	−	0.930983i	$-0.381048\pi$
$661$	18.7714			0.730123			0.365061	+	0.930983i	$0.381048\pi$
$662$	−2.04710	+	6.30034i	−0.0795630	+	0.244870i
$663$	16.2663	−	3.53706i	0.631732	−	0.137368i
$664$	4.95622	+	3.60090i	0.192339	+	0.139742i
$665$	7.70467	−	2.50340i	0.298774	−	0.0970777i
$666$	7.99030	−	14.1433i	0.309618	−	0.548042i
$667$	24.1461	−	33.2343i	0.934942	−	1.28684i
$668$	−2.68129	+	1.94807i	−0.103742	+	0.0753730i
$669$	32.8078	+	29.2638i	1.26842	+	1.13140i
$670$		−	15.8729i		−	0.613223i
$671$		0			0
$672$	1.09808	+	0.482758i	0.0423592	+	0.0186228i
$673$	−42.8926	−	13.9367i	−1.65339	−	0.537219i	−0.673919	−	0.738805i	$-0.735390\pi$
$673$	−42.8926	−	13.9367i	−1.65339	−	0.537219i	−0.979471	+	0.201586i	$0.935390\pi$
$674$	−0.227805	−	0.313547i	−0.00877472	−	0.0120774i
$675$	16.0171	+	4.95708i	0.616499	+	0.190798i
$676$	−11.4494	−	35.2376i	−0.440361	−	1.35529i
$677$	−13.8797	−	42.7174i	−0.533442	−	1.64176i	−0.746992	−	0.664833i	$-0.768503\pi$
$677$	−13.8797	−	42.7174i	−0.533442	−	1.64176i	0.213550	−	0.976932i	$-0.431497\pi$
$678$	−2.52332	−	4.32371i	−0.0969073	−	0.166051i
$679$	−2.89527	−	3.98500i	−0.111110	−	0.152930i
$680$	3.70574	+	1.20407i	0.142109	+	0.0461739i
$681$	−18.0956	+	41.1601i	−0.693426	+	1.57726i
$682$		0			0
$683$			23.9741i			0.917342i	0.888606	+	0.458671i	$0.151674\pi$
$683$			23.9741i			0.917342i	−0.888606	+	0.458671i	$0.848326\pi$
$684$	−5.08078	−	11.1304i	−0.194268	−	0.425582i
$685$	−17.7692	+	12.9101i	−0.678925	+	0.493268i
$686$	−5.50366	+	7.57514i	−0.210131	+	0.289220i
$687$	−14.2514	−	1.43057i	−0.543724	−	0.0545795i
$688$	−3.34192	+	1.08586i	−0.127410	+	0.0413979i
$689$	−58.4756	−	42.4850i	−2.22774	−	1.61855i
$690$	7.82594	+	35.9902i	0.297928	+	1.37012i
$691$	−1.21936	+	3.75280i	−0.0463866	+	0.142763i	−0.971567	−	0.236764i	$-0.923913\pi$
$691$	−1.21936	+	3.75280i	−0.0463866	+	0.142763i	0.925181	+	0.379527i	$0.123913\pi$
$692$	11.2267			0.426777
$693$		0			0
$694$	−17.5869			−0.667589
$695$	6.27357	−	19.3081i	0.237970	−	0.732397i
$696$	2.03924	+	9.37813i	0.0772973	+	0.355477i
$697$	−3.05684	−	2.22092i	−0.115786	−	0.0841234i
$698$	0.277186	−	0.0900631i	0.0104916	−	0.00340894i
$699$	−46.2865	−	4.64628i	−1.75072	−	0.175739i
$700$	1.31349	−	1.80786i	0.0496452	−	0.0683308i
$701$	39.2418	−	28.5108i	1.48214	−	1.07684i	0.505283	−	0.862954i	$-0.331388\pi$
$701$	39.2418	−	28.5108i	1.48214	−	1.07684i	0.976859	−	0.213885i	$-0.0686119\pi$
$702$	−36.7575	+	0.515452i	−1.38732	+	0.0194545i
$703$			22.0836i			0.832900i
$704$		0			0
$705$	−8.97027	+	20.4037i	−0.337840	+	0.768447i
$706$	17.9774	+	5.84121i	0.676588	+	0.219837i
$707$	4.19631	+	5.77572i	0.157818	+	0.217218i
$708$	−2.02669	−	3.47275i	−0.0761678	−	0.130514i
$709$	−0.0737064	−	0.226845i	−0.00276810	−	0.00851934i	0.949663	−	0.313274i	$-0.101426\pi$
$709$	−0.0737064	−	0.226845i	−0.00276810	−	0.00851934i	−0.952431	+	0.304754i	$0.901426\pi$
$710$	−7.52077	−	23.1466i	−0.282250	−	0.868675i
$711$	−39.8133	+	4.56122i	−1.49312	+	0.171059i
$712$	−1.05611	−	1.45360i	−0.0395792	−	0.0544761i
$713$	−50.3919	−	16.3733i	−1.88719	−	0.613186i
$714$	−1.49172	−	0.655819i	−0.0558262	−	0.0245434i
$715$		0			0
$716$			12.8632i			0.480719i
$717$	19.4041	+	17.3080i	0.724659	+	0.646379i
$718$	18.3797	−	13.3537i	0.685926	−	0.498354i
$719$	−0.517538	+	0.712331i	−0.0193009	+	0.0265654i	−0.818558	−	0.574423i	$-0.805226\pi$
$719$	−0.517538	+	0.712331i	−0.0193009	+	0.0265654i	0.799257	+	0.600989i	$0.205226\pi$
$720$	−7.49177	−	4.23250i	−0.279202	−	0.157736i
$721$	0.0741494	−	0.0240926i	0.00276147	−	0.000897255i
$722$	−1.91462	−	1.39106i	−0.0712549	−	0.0517697i
$723$	−15.4229	+	3.35365i	−0.573583	+	0.124724i
$724$	0.426030	−	1.31119i	0.0158333	−	0.0487299i
$725$	17.8794			0.664023
$726$		0			0
$727$	37.0384			1.37368			0.686839	−	0.726810i	$-0.258998\pi$
$727$	37.0384			1.37368			0.686839	+	0.726810i	$0.258998\pi$
$728$	−1.51402	+	4.65968i	−0.0561134	+	0.172699i
$729$	−7.62014	+	25.9024i	−0.282227	+	0.959348i
$730$	17.1193	+	12.4379i	0.633615	+	0.460348i
$731$	4.53995	−	1.47512i	0.167916	−	0.0545592i
$732$	−0.716848	+	7.14128i	−0.0264955	+	0.263949i
$733$	16.6369	−	22.8987i	0.614497	−	0.845782i	−0.382441	−	0.923980i	$-0.624917\pi$
$733$	16.6369	−	22.8987i	0.614497	−	0.845782i	0.996938	+	0.0781977i	$0.0249166\pi$
$734$	−20.8081	+	15.1180i	−0.768040	+	0.558014i
$735$	21.5622	−	24.1736i	0.795336	−	0.891656i
$736$		−	7.41381i		−	0.273277i
$737$		0			0
$738$	5.64104	+	6.14844i	0.207650	+	0.226327i
$739$	20.0325	+	6.50894i	0.736906	+	0.239435i	0.653338	−	0.757067i	$-0.273368\pi$
$739$	20.0325	+	6.50894i	0.736906	+	0.239435i	0.0835686	+	0.996502i	$0.473368\pi$
$740$	9.12878	+	12.5647i	0.335581	+	0.461887i
$741$	43.1628	−	25.1898i	1.58563	−	0.925370i
$742$	2.18643	+	6.72915i	0.0802666	+	0.247035i
$743$	8.02530	+	24.6993i	0.294420	+	0.906131i	0.983416	+	0.181366i	$0.0580518\pi$
$743$	8.02530	+	24.6993i	0.294420	+	0.906131i	−0.688996	+	0.724765i	$0.741948\pi$
$744$	10.6912	−	6.23937i	0.391958	−	0.228746i
$745$	−23.3004	−	32.0702i	−0.853660	−	1.17496i
$746$	14.7078	+	4.77884i	0.538489	+	0.174966i
$747$	12.4249	+	13.5425i	0.454602	+	0.495492i
$748$		0			0
$749$			10.6931i			0.390718i
$750$	5.86398	−	6.57414i	0.214122	−	0.240054i
$751$	−16.8434	+	12.2374i	−0.614624	+	0.446550i	−0.851039	−	0.525102i	$-0.824027\pi$
$751$	−16.8434	+	12.2374i	−0.614624	+	0.446550i	0.236416	+	0.971652i	$0.424027\pi$
$752$	2.63709	−	3.62964i	0.0961647	−	0.132359i
$753$	3.08282	−	30.7113i	0.112344	−	1.11918i
$754$	−37.2821	+	12.1137i	−1.35773	+	0.441154i
$755$	−0.626972	−	0.455522i	−0.0228178	−	0.0165781i
$756$	2.94065	+	2.07414i	0.106950	+	0.0754356i
$757$	−2.01723	+	6.20838i	−0.0733173	+	0.225648i	−0.980999	−	0.194011i	$-0.937850\pi$
$757$	−2.01723	+	6.20838i	−0.0733173	+	0.225648i	0.907682	+	0.419659i	$0.137850\pi$
$758$	−17.3617			−0.630606
$759$		0			0
$760$	11.6978			0.424324
$761$	−5.66022	+	17.4204i	−0.205183	+	0.631488i	0.794523	+	0.607234i	$0.207721\pi$
$761$	−5.66022	+	17.4204i	−0.205183	+	0.631488i	−0.999706	+	0.0242537i	$0.992279\pi$
$762$	−9.14957	+	1.98954i	−0.331454	+	0.0720736i
$763$	−3.62431	−	2.63321i	−0.131209	−	0.0953287i
$764$	−6.37145	+	2.07021i	−0.230511	+	0.0748975i
$765$	10.1775	+	5.74978i	0.367967	+	0.207884i
$766$	−7.91690	+	10.8967i	−0.286049	+	0.393713i
$767$	13.2869	−	9.65351i	0.479763	−	0.348568i
$768$	1.29257	+	1.15294i	0.0466415	+	0.0416031i
$769$			25.7532i			0.928683i	0.885656	+	0.464341i	$0.153709\pi$
$769$			25.7532i			0.928683i	−0.885656	+	0.464341i	$0.846291\pi$
$770$		0			0
$771$	32.8304	+	14.4335i	1.18236	+	0.519811i
$772$	12.6176	+	4.09969i	0.454116	+	0.147551i
$773$	−15.8078	−	21.7576i	−0.568569	−	0.782568i	0.423815	−	0.905749i	$-0.360691\pi$
$773$	−15.8078	−	21.7576i	−0.568569	−	0.782568i	−0.992384	+	0.123181i	$0.960691\pi$
$774$	−10.4732	+	1.19986i	−0.376452	+	0.0431282i
$775$	−7.12623	−	21.9323i	−0.255982	−	0.787831i
$776$	−2.19791	−	6.76446i	−0.0789003	−	0.242830i
$777$	−3.27380	−	5.60966i	−0.117447	−	0.201246i
$778$	−7.54413	−	10.3836i	−0.270470	−	0.372270i
$779$	−10.7884	−	3.50536i	−0.386534	−	0.125593i
$780$	14.1451	−	32.1743i	0.506476	−	1.15202i
$781$		0			0
$782$			10.0715i			0.360157i
$783$	0.403710	+	28.7890i	0.0144274	+	1.02884i
$784$	−5.27511	+	3.83259i	−0.188397	+	0.136878i
$785$	−10.6527	+	14.6622i	−0.380213	+	0.523318i
$786$	−10.3941	−	1.04337i	−0.370747	−	0.0372159i
$787$	21.5337	−	6.99671i	0.767592	−	0.249406i	0.101058	−	0.994881i	$-0.467777\pi$
$787$	21.5337	−	6.99671i	0.767592	−	0.249406i	0.666534	+	0.745475i	$0.267777\pi$
$788$	0.254235	+	0.184713i	0.00905676	+	0.00658012i
$789$	−7.14136	−	32.8419i	−0.254239	−	1.16920i
$790$	11.8395	−	36.4383i	0.421232	−	1.29642i
$791$	−2.00165			−0.0711704
$792$		0			0
$793$	−29.3156			−1.04103
$794$	4.14539	−	12.7582i	0.147114	−	0.452772i
$795$	−10.7846	−	49.5967i	−0.382492	−	1.75902i
$796$	7.53539	+	5.47478i	0.267085	+	0.194048i
$797$	24.0034	−	7.79917i	0.850243	−	0.276261i	0.148695	−	0.988883i	$-0.452493\pi$
$797$	24.0034	−	7.79917i	0.850243	−	0.276261i	0.701548	+	0.712622i	$0.252493\pi$
$798$	−4.86763	−	0.488617i	−0.172312	−	0.0172968i
$799$	−3.58244	+	4.93081i	−0.126738	+	0.174439i
$800$	2.61049	−	1.89663i	0.0922947	−	0.0670561i
$801$	−2.23835	−	4.90354i	−0.0790883	−	0.173258i
$802$			20.3361i			0.718091i
$803$		0			0
$804$	−3.85769	+	8.77467i	−0.136050	+	0.309459i
$805$	14.0057	+	4.55073i	0.493636	+	0.160392i
$806$	29.7193	+	40.9051i	1.04682	+	1.44082i
$807$	6.13167	+	10.5066i	0.215845	+	0.369851i
$808$	3.18557	+	9.80419i	0.112068	+	0.344910i
$809$	9.12394	+	28.0806i	0.320781	+	0.987261i	0.973309	+	0.229497i	$0.0737082\pi$
$809$	9.12394	+	28.0806i	0.320781	+	0.987261i	−0.652529	+	0.757764i	$0.726292\pi$
$810$	−19.5032	−	16.9113i	−0.685271	−	0.594203i
$811$	9.84858	+	13.5554i	0.345830	+	0.475995i	0.946133	−	0.323778i	$-0.104953\pi$
$811$	9.84858	+	13.5554i	0.345830	+	0.475995i	−0.600303	+	0.799773i	$0.704953\pi$
$812$	3.64954	+	1.18581i	0.128074	+	0.0416136i
$813$	18.0765	+	7.94713i	0.633969	+	0.278718i
$814$		0			0
$815$		−	21.8141i		−	0.764113i
$816$	−1.75593	−	1.56625i	−0.0614699	−	0.0548297i
$817$	11.5941	−	8.42362i	0.405627	−	0.294705i
$818$	−14.2991	+	19.6810i	−0.499956	+	0.688130i
$819$	−7.22990	+	12.7974i	−0.252633	+	0.447176i
$820$	−7.58718	+	2.46522i	−0.264956	+	0.0860894i
$821$	39.7679	+	28.8930i	1.38791	+	1.00837i	0.996091	+	0.0883309i	$0.0281533\pi$
$821$	39.7679	+	28.8930i	1.38791	+	1.00837i	0.391817	+	0.920043i	$0.371847\pi$
$822$	12.9606	−	2.81823i	0.452052	−	0.0982971i
$823$	−12.8163	+	39.4444i	−0.446747	+	1.37495i	0.433810	+	0.901004i	$0.357169\pi$
$823$	−12.8163	+	39.4444i	−0.446747	+	1.37495i	−0.880557	+	0.473941i	$0.842831\pi$
$824$	0.112579			0.00392188
$825$		0			0
$826$	−1.60770			−0.0559389
$827$	7.45741	−	22.9515i	0.259320	−	0.798103i	−0.733628	−	0.679551i	$-0.762175\pi$
$827$	7.45741	−	22.9515i	0.259320	−	0.798103i	0.992948	−	0.118552i	$-0.0378254\pi$
$828$	4.42068	−	21.7977i	0.153629	−	0.757521i
$829$	17.8121	+	12.9412i	0.618639	+	0.449468i	0.852446	−	0.522815i	$-0.175118\pi$
$829$	17.8121	+	12.9412i	0.618639	+	0.449468i	−0.233807	+	0.972283i	$0.575118\pi$
$830$	−16.7114	+	5.42986i	−0.580061	+	0.188473i
$831$	2.94887	−	29.3768i	0.102295	−	1.01907i
$832$	−4.15839	+	5.72353i	−0.144166	+	0.198428i
$833$	7.16615	−	5.20651i	0.248292	−	0.180395i
$834$	−8.16065	+	9.14896i	−0.282580	+	0.316803i
$835$		−	9.50604i		−	0.328970i
$836$		0			0
$837$	35.1540	−	11.9697i	1.21510	−	0.413735i
$838$	34.4007	+	11.1775i	1.18835	+	0.386119i
$839$	12.7357	+	17.5291i	0.439684	+	0.605173i	0.970142	−	0.242538i	$-0.0779799\pi$
$839$	12.7357	+	17.5291i	0.439684	+	0.605173i	−0.530458	+	0.847711i	$0.677980\pi$
$840$	−2.97146	+	1.73414i	−0.102525	+	0.0598337i
$841$	0.526139	+	1.61929i	0.0181427	+	0.0558375i
$842$	−9.03844	−	27.8174i	−0.311485	−	0.958652i
$843$	31.7465	−	18.5272i	1.09341	−	0.638112i
$844$	0.554625	+	0.763377i	0.0190910	+	0.0262765i
$845$	101.069	+	32.8395i	3.47689	+	1.12971i
$846$	9.91769	−	9.09923i	0.340977	−	0.312838i
$847$		0			0
$848$			10.2167i			0.350843i
$849$	−24.3405	+	27.2883i	−0.835363	+	0.936531i
$850$	−3.54631	+	2.57654i	−0.121637	+	0.0883747i
$851$	−23.5961	+	32.4772i	−0.808864	+	1.11331i
$852$	−1.46791	+	14.6234i	−0.0502899	+	0.500991i
$853$	16.9003	−	5.49124i	0.578655	−	0.188016i	−0.00504283	−	0.999987i	$-0.501605\pi$
$853$	16.9003	−	5.49124i	0.578655	−	0.188016i	0.583698	+	0.811971i	$0.301605\pi$
$854$	2.32164	+	1.68677i	0.0794447	+	0.0577200i
$855$	34.3932	+	6.97513i	1.17622	+	0.238544i
$856$	−4.77137	+	14.6848i	−0.163082	+	0.501915i
$857$	−36.0329			−1.23086			−0.615431	−	0.788191i	$-0.711018\pi$
$857$	−36.0329			−1.23086			−0.615431	+	0.788191i	$0.711018\pi$
$858$		0			0
$859$	−37.2491			−1.27092			−0.635462	−	0.772132i	$-0.719190\pi$
$859$	−37.2491			−1.27092			−0.635462	+	0.772132i	$0.719190\pi$
$860$	3.11448	−	9.58540i	0.106203	−	0.326859i
$861$	3.26011	−	0.708900i	0.111104	−	0.0241593i
$862$	−19.6459	−	14.2736i	−0.669142	−	0.486160i
$863$	−23.4062	+	7.60513i	−0.796755	+	0.258881i	−0.678978	−	0.734159i	$-0.737577\pi$
$863$	−23.4062	+	7.60513i	−0.796755	+	0.258881i	−0.117777	+	0.993040i	$0.537577\pi$
$864$	3.11287	+	4.16054i	0.105902	+	0.141544i
$865$	−18.9272	+	26.0511i	−0.643544	+	0.885763i
$866$	−0.442140	+	0.321234i	−0.0150245	+	0.0109160i
$867$	−19.5882	−	17.4722i	−0.665252	−	0.593388i
$868$		−	4.94945i		−	0.167995i
$869$		0			0
$870$	−25.1994	−	11.0787i	−0.854340	−	0.375602i
$871$	−37.2353	−	12.0985i	−1.26167	−	0.409941i
$872$	−3.80227	−	5.23337i	−0.128761	−	0.177224i
$873$	−2.42867	−	21.1991i	−0.0821982	−	0.717480i
$874$	9.34360	+	28.7566i	0.316052	+	0.972708i
$875$	−1.08846	−	3.34993i	−0.0367966	−	0.113248i
$876$	−6.44085	−	11.0364i	−0.217616	−	0.372886i
$877$	31.8252	+	43.8036i	1.07466	+	1.47914i	0.865266	+	0.501313i	$0.167149\pi$
$877$	31.8252	+	43.8036i	1.07466	+	1.47914i	0.209395	+	0.977831i	$0.432851\pi$
$878$	22.5365	+	7.32255i	0.760569	+	0.247124i
$879$	9.39999	−	21.3811i	0.317054	−	0.721167i
$880$		0			0
$881$		−	41.9541i		−	1.41347i	−0.707478	−	0.706735i	$-0.750167\pi$
$881$		−	41.9541i		−	1.41347i	0.707478	−	0.706735i	$-0.249833\pi$
$882$	−17.7949	+	8.12295i	−0.599184	+	0.273514i
$883$	−0.221242	+	0.160742i	−0.00744538	+	0.00540938i	−0.591502	−	0.806304i	$-0.701465\pi$
$883$	−0.221242	+	0.160742i	−0.00744538	+	0.00540938i	0.584056	+	0.811713i	$0.301465\pi$
$884$	5.64910	−	7.77532i	0.190000	−	0.261512i
$885$	11.4751	+	1.15188i	0.385732	+	0.0387201i
$886$	10.4476	−	3.39463i	0.350993	−	0.114045i
$887$	−2.52151	−	1.83199i	−0.0846642	−	0.0615121i	0.544648	−	0.838665i	$-0.316663\pi$
$887$	−2.52151	−	1.83199i	−0.0846642	−	0.0615121i	−0.629312	+	0.777153i	$0.716663\pi$
$888$	−1.99279	−	9.16450i	−0.0668737	−	0.307541i
$889$	−1.15691	+	3.56059i	−0.0388014	+	0.119418i
$890$	5.15350			0.172746
$891$		0			0
$892$	25.3819			0.849849
$893$	−5.65430	+	17.4021i	−0.189214	+	0.582340i
$894$	5.08642	+	23.3916i	0.170115	+	0.782331i
$895$	−29.8483	−	21.6861i	−0.997718	−	0.724885i
$896$	0.658643	−	0.214006i	0.0220037	−	0.00714944i
$897$	90.3922	+	9.07365i	3.01811	+	0.302960i
$898$	−4.99388	+	6.87348i	−0.166648	+	0.229371i
$899$	32.0375	−	23.2766i	1.06851	−	0.776318i
$900$	8.80614	−	4.01980i	0.293538	−	0.133993i
$901$		−	13.8792i		−	0.462384i
$902$		0			0
$903$	−1.69636	+	3.85853i	−0.0564515	+	0.128404i
$904$	−2.74884	−	0.893154i	−0.0914252	−	0.0297058i
$905$	2.32429	+	3.19911i	0.0772621	+	0.106342i
$906$	0.235887	+	0.404193i	0.00783682	+	0.0134284i
$907$	14.6527	+	45.0963i	0.486534	+	1.49740i	0.829747	+	0.558140i	$0.188485\pi$
$907$	14.6527	+	45.0963i	0.486534	+	1.49740i	−0.343213	+	0.939258i	$0.611515\pi$
$908$	8.02177	+	24.6885i	0.266212	+	0.819316i
$909$	3.52004	+	30.7252i	0.116752	+	1.01909i
$910$	−8.26005	−	11.3690i	−0.273818	−	0.376878i
$911$	−49.9023	−	16.2142i	−1.65334	−	0.537202i	−0.673878	−	0.738843i	$-0.735373\pi$
$911$	−49.9023	−	16.2142i	−1.65334	−	0.537202i	−0.979459	+	0.201641i	$0.935373\pi$
$912$	−6.46665	−	2.84300i	−0.214132	−	0.0941410i
$913$		0			0
$914$		−	22.1681i		−	0.733254i
$915$	−15.3624	−	13.7029i	−0.507866	−	0.453005i
$916$	−6.69008	+	4.86063i	−0.221046	+	0.160600i
$917$	−2.45509	+	3.37914i	−0.0810742	+	0.111589i
$918$	−4.22878	−	5.65202i	−0.139570	−	0.186545i
$919$	−36.5445	+	11.8740i	−1.20549	+	0.391688i	−0.841778	−	0.539824i	$-0.818491\pi$
$919$	−36.5445	+	11.8740i	−1.20549	+	0.391688i	−0.363712	+	0.931511i	$0.618491\pi$
$920$	17.2033	+	12.4990i	0.567177	+	0.412078i
$921$	−38.5051	+	8.37280i	−1.26879	+	0.275893i
$922$	−9.01991	+	27.7604i	−0.297055	+	0.914241i
$923$	−60.0306			−1.97593
$924$		0			0
$925$	−17.4721			−0.574478
$926$	−4.28423	+	13.1855i	−0.140789	+	0.433303i
$927$	0.330999	+	0.0671283i	0.0108714	+	0.00220478i
$928$	4.48276	+	3.25691i	0.147154	+	0.106913i
$929$	−14.9112	+	4.84494i	−0.489220	+	0.158957i	−0.543231	−	0.839583i	$-0.682799\pi$
$929$	−14.9112	+	4.84494i	−0.489220	+	0.158957i	0.0540113	+	0.998540i	$0.482799\pi$
$930$	−3.54619	+	35.3273i	−0.116284	+	1.15843i
$931$	15.6309	−	21.5140i	0.512281	−	0.705094i
$932$	−21.7285	+	15.7866i	−0.711739	+	0.517109i
$933$	36.0180	−	40.3800i	1.17918	−	1.32198i
$934$		−	2.67846i		−	0.0876419i
$935$		0			0
$936$	−15.6391	+	14.3485i	−0.511179	+	0.468994i
$937$	20.0088	+	6.50124i	0.653658	+	0.212386i	0.617026	−	0.786943i	$-0.288337\pi$
$937$	20.0088	+	6.50124i	0.653658	+	0.212386i	0.0366314	+	0.999329i	$0.488337\pi$
$938$	2.25270	+	3.10058i	0.0735534	+	0.101238i
$939$	28.1446	−	16.4252i	0.918464	−	0.536015i
$940$	3.97651	+	12.2384i	0.129699	+	0.399174i
$941$	−4.42486	−	13.6183i	−0.144246	−	0.443944i	0.852667	−	0.522455i	$-0.174984\pi$
$941$	−4.42486	−	13.6183i	−0.144246	−	0.443944i	−0.996913	+	0.0785104i	$0.974984\pi$
$942$	9.45240	−	5.51641i	0.307976	−	0.179734i
$943$	−12.1205	−	16.6824i	−0.394697	−	0.543254i
$944$	−2.20783	−	0.717369i	−0.0718589	−	0.0233484i
$945$	−9.77057	+	3.32682i	−0.317837	+	0.108221i
$946$		0			0
$947$			0.365709i			0.0118839i	0.999982	+	0.00594197i	$0.00189140\pi$
$947$			0.365709i			0.0118839i	−0.999982	+	0.00594197i	$0.998109\pi$
$948$	−15.4009	+	17.2660i	−0.500197	+	0.560774i
$949$	42.2259	−	30.6789i	1.37071	−	0.995881i
$950$	−7.73523	+	10.6466i	−0.250964	+	0.345422i
$951$	−2.24851	+	22.3998i	−0.0729129	+	0.726363i
$952$	−0.894756	+	0.290724i	−0.0289992	+	0.00942241i
$953$	−12.2008	−	8.86437i	−0.395221	−	0.287145i	0.372370	−	0.928084i	$-0.378545\pi$
$953$	−12.2008	−	8.86437i	−0.395221	−	0.287145i	−0.767592	+	0.640939i	$0.778545\pi$
$954$	−6.09198	+	30.0386i	−0.197235	+	0.972535i
$955$	5.93784	−	18.2748i	0.192144	−	0.591358i
$956$	15.0121			0.485525
$957$		0			0
$958$	14.4574			0.467098
$959$	1.63878	−	5.04365i	0.0529190	−	0.162868i
$960$	−4.85448	+	1.05559i	−0.156678	+	0.0340690i
$961$	−16.2427	−	11.8010i	−0.523959	−	0.380678i
$962$	36.4328	−	11.8377i	1.17464	−	0.381664i
$963$	−22.7847	+	40.3303i	−0.734227	+	1.29963i
$964$	−5.35618	+	7.37215i	−0.172511	+	0.237441i
$965$	−30.7851	+	22.3667i	−0.991008	+	0.720009i
$966$	−6.63648	−	5.91958i	−0.213525	−	0.190460i
$967$			4.11107i			0.132203i	0.997813	+	0.0661016i	$0.0210561\pi$
$967$			4.11107i			0.132203i	−0.997813	+	0.0661016i	$0.978944\pi$
$968$		0			0
$969$	8.78484	+	3.86216i	0.282210	+	0.124071i
$970$	19.4020	+	6.30410i	0.622962	+	0.202413i
$971$	−15.5929	−	21.4618i	−0.500400	−	0.688741i	0.481864	−	0.876246i	$-0.339960\pi$
$971$	−15.5929	−	21.4618i	−0.500400	−	0.688741i	−0.982264	+	0.187505i	$0.939960\pi$
$972$	6.67145	+	14.0887i	0.213987	+	0.451896i
$973$	1.51476	+	4.66196i	0.0485610	+	0.149456i
$974$	0.635874	+	1.95702i	0.0203747	+	0.0627069i
$975$	19.9296	+	34.1494i	0.638257	+	1.09366i
$976$	2.43563	+	3.35236i	0.0779626	+	0.107306i
$977$	−7.59589	−	2.46805i	−0.243014	−	0.0789600i	0.184978	−	0.982743i	$-0.440779\pi$
$977$	−7.59589	−	2.46805i	−0.243014	−	0.0789600i	−0.427992	+	0.903783i	$0.640779\pi$
$978$	−5.30161	+	12.0590i	−0.169527	+	0.385604i
$979$		0			0
$980$		−	18.7020i		−	0.597413i
$981$	−8.05868	−	17.6541i	−0.257294	−	0.563651i
$982$	10.3430	−	7.51465i	0.330059	−	0.239802i
$983$	−10.6459	+	14.6529i	−0.339553	+	0.467354i	−0.944311	−	0.329055i	$-0.893270\pi$
$983$	−10.6459	+	14.6529i	−0.339553	+	0.467354i	0.604758	+	0.796409i	$0.293270\pi$
$984$	4.79340	+	0.481166i	0.152808	+	0.0153390i
$985$	−0.857232	+	0.278532i	−0.0273137	+	0.00887476i
$986$	−6.08976	−	4.42447i	−0.193937	−	0.140904i
$987$	−1.14349	−	5.25870i	−0.0363976	−	0.167386i
$988$	8.91619	−	27.4412i	0.283662	−	0.873021i
$989$	26.0514			0.828386
$990$		0			0
$991$	−29.0245			−0.921995			−0.460997	−	0.887401i	$-0.652508\pi$
$991$	−29.0245			−0.921995			−0.460997	+	0.887401i	$0.652508\pi$
$992$	2.20849	−	6.79703i	0.0701196	−	0.215806i
$993$	2.43803	+	11.2121i	0.0773685	+	0.355805i
$994$	4.75409	+	3.45405i	0.150791	+	0.109556i
$995$	−25.4079	+	8.25552i	−0.805484	+	0.261718i
$996$	10.5579	+	1.05981i	0.334539	+	0.0335813i
$997$	−33.6664	+	46.3378i	−1.06623	+	1.46753i	−0.192386	+	0.981319i	$0.561623\pi$
$997$	−33.6664	+	46.3378i	−1.06623	+	1.46753i	−0.873839	+	0.486215i	$0.838377\pi$
$998$	4.51163	−	3.27789i	0.142813	−	0.103760i
$999$	−0.394514	−	28.1332i	−0.0124819	−	0.890096i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	726.2.h.k.233.5		32
3.2	odd	2		726.2.h.l.233.8		32
11.2	odd	10		726.2.h.l.239.1		32
11.3	even	5	inner	726.2.h.k.161.6		32
11.4	even	5		726.2.b.f.725.2	yes	8
11.5	even	5	inner	726.2.h.k.215.8		32
11.6	odd	10		726.2.h.l.215.8		32
11.7	odd	10		726.2.b.d.725.2	yes	8
11.8	odd	10		726.2.h.l.161.6		32
11.9	even	5	inner	726.2.h.k.239.1		32
11.10	odd	2		726.2.h.l.233.5		32
33.2	even	10	inner	726.2.h.k.239.6		32
33.5	odd	10		726.2.h.l.215.5		32
33.8	even	10	inner	726.2.h.k.161.1		32
33.14	odd	10		726.2.h.l.161.1		32
33.17	even	10	inner	726.2.h.k.215.5		32
33.20	odd	10		726.2.h.l.239.6		32
33.26	odd	10		726.2.b.d.725.1	✓	8
33.29	even	10		726.2.b.f.725.1	yes	8
33.32	even	2	inner	726.2.h.k.233.8		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
726.2.b.d.725.1	✓	8	33.26	odd	10
726.2.b.d.725.2	yes	8	11.7	odd	10
726.2.b.f.725.1	yes	8	33.29	even	10
726.2.b.f.725.2	yes	8	11.4	even	5
726.2.h.k.161.1		32	33.8	even	10	inner
726.2.h.k.161.6		32	11.3	even	5	inner
726.2.h.k.215.5		32	33.17	even	10	inner
726.2.h.k.215.8		32	11.5	even	5	inner
726.2.h.k.233.5		32	1.1	even	1	trivial
726.2.h.k.233.8		32	33.32	even	2	inner
726.2.h.k.239.1		32	11.9	even	5	inner
726.2.h.k.239.6		32	33.2	even	10	inner
726.2.h.l.161.1		32	33.14	odd	10
726.2.h.l.161.6		32	11.8	odd	10
726.2.h.l.215.5		32	33.5	odd	10
726.2.h.l.215.8		32	11.6	odd	10
726.2.h.l.233.5		32	11.10	odd	2
726.2.h.l.233.8		32	3.2	odd	2
726.2.h.l.239.1		32	11.2	odd	10
726.2.h.l.239.6		32	33.20	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 726 = 2 \cdot 3 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	726.h (of order \(10\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 - 0.951057i) q^{2} +(-0.368028 - 1.69250i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(2.72785 - 0.886332i) q^{5} +(-1.72339 - 0.172995i) q^{6} +(-0.407064 + 0.560275i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(-2.72911 + 1.24578i) q^{9} -2.86823i q^{10} +(-0.697085 + 1.58558i) q^{12} +(-6.72841 - 2.18619i) q^{13} +(0.407064 + 0.560275i) q^{14} +(-2.50404 - 4.29069i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.419795 - 1.29200i) q^{17} +(0.341462 + 2.98050i) q^{18} +(-2.39723 - 3.29950i) q^{19} +(-2.72785 - 0.886332i) q^{20} +(1.09808 + 0.482758i) q^{21} -7.41381i q^{23} +(1.29257 + 1.15294i) q^{24} +(2.61049 - 1.89663i) q^{25} +(-4.15839 + 5.72353i) q^{26} +(3.11287 + 4.16054i) q^{27} +(0.658643 - 0.214006i) q^{28} +(4.48276 + 3.25691i) q^{29} +(-4.85448 + 1.05559i) q^{30} +(2.20849 - 6.79703i) q^{31} +1.00000 q^{32} -1.35848 q^{34} +(-0.613818 + 1.88914i) q^{35} +(2.94015 + 0.596277i) q^{36} +(-4.38064 - 3.18272i) q^{37} +(-3.87879 + 1.26030i) q^{38} +(-1.22389 + 12.1924i) q^{39} +(-1.68590 + 2.32045i) q^{40} +(2.25018 - 1.63485i) q^{41} +(0.798454 - 0.895152i) q^{42} +3.51390i q^{43} +(-6.34043 + 5.81719i) q^{45} +(-7.05095 - 2.29099i) q^{46} +(-2.63709 - 3.62964i) q^{47} +(1.49594 - 0.873027i) q^{48} +(2.01491 + 6.20126i) q^{49} +(-0.997118 - 3.06881i) q^{50} +(-2.03220 + 1.18599i) q^{51} +(4.15839 + 5.72353i) q^{52} +(9.71666 + 3.15713i) q^{53} +(4.91883 - 1.67483i) q^{54} -0.692538i q^{56} +(-4.70215 + 5.27162i) q^{57} +(4.48276 - 3.25691i) q^{58} +(-1.36452 + 1.87810i) q^{59} +(-0.496190 + 4.94308i) q^{60} +(3.94093 - 1.28049i) q^{61} +(-5.78190 - 4.20080i) q^{62} +(0.412944 - 2.03616i) q^{63} +(0.309017 - 0.951057i) q^{64} -20.2918 q^{65} +5.53403 q^{67} +(-0.419795 + 1.29200i) q^{68} +(-12.5479 + 2.72849i) q^{69} +(1.60700 + 1.16755i) q^{70} +(8.06998 - 2.62210i) q^{71} +(1.47565 - 2.61198i) q^{72} +(-4.33645 + 5.96861i) q^{73} +(-4.38064 + 3.18272i) q^{74} +(-4.17078 - 3.72024i) q^{75} +4.07841i q^{76} +(11.2175 + 4.93165i) q^{78} +(12.7041 + 4.12782i) q^{79} +(1.68590 + 2.32045i) q^{80} +(5.89608 - 6.79972i) q^{81} +(-0.859493 - 2.64525i) q^{82} +(-1.89311 - 5.82638i) q^{83} +(-0.604604 - 1.03599i) q^{84} +(-2.29027 - 3.15229i) q^{85} +(3.34192 + 1.08586i) q^{86} +(3.86254 - 8.78570i) q^{87} +1.79675i q^{89} +(3.57317 + 7.82772i) q^{90} +(3.96376 - 2.87984i) q^{91} +(-4.35773 + 5.99790i) q^{92} +(-12.3168 - 1.23637i) q^{93} +(-4.26690 + 1.38640i) q^{94} +(-9.46372 - 6.87580i) q^{95} +(-0.368028 - 1.69250i) q^{96} +(-2.19791 + 6.76446i) q^{97} +6.52039 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 8 q^{2} - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{8} + 4 q^{9} + 16 q^{12} + 8 q^{15} - 8 q^{16} + 16 q^{17} + 4 q^{18} - 48 q^{21} - 4 q^{24} + 40 q^{25} - 16 q^{27} - 8 q^{29} + 8 q^{30} - 24 q^{31}+ \cdots + 8 q^{97}+O(q^{100}) \) 32 * q - 8 * q^2 - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^8 + 4 * q^9 + 16 * q^12 + 8 * q^15 - 8 * q^16 + 16 * q^17 + 4 * q^18 - 48 * q^21 - 4 * q^24 + 40 * q^25 - 16 * q^27 - 8 * q^29 + 8 * q^30 - 24 * q^31 + 32 * q^32 - 64 * q^34 + 4 * q^36 - 24 * q^37 - 28 * q^39 + 12 * q^42 - 64 * q^45 - 4 * q^48 + 40 * q^50 + 28 * q^51 + 64 * q^54 - 16 * q^57 - 8 * q^58 + 8 * q^60 - 24 * q^62 + 12 * q^63 - 8 * q^64 - 128 * q^65 + 32 * q^67 + 16 * q^68 - 40 * q^69 + 4 * q^72 - 24 * q^74 + 12 * q^75 + 112 * q^78 - 8 * q^81 + 16 * q^83 + 12 * q^84 + 128 * q^87 + 16 * q^90 - 8 * q^91 - 64 * q^95 - 4 * q^96 + 8 * q^97

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