LMFDB - Embedded newform 798.2.cc.b.737.22

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [798,2,Mod(317,798)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(798, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 6, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("798.317"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.cc (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [162,0,0,0,0,0,0,81] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(8)] == traces)

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			737.22
Character	$\chi$	$=$	798.737
Dual form			798.2.cc.b.641.22

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.766044 + 0.642788i) q^{2} +(1.42412 + 0.985844i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.27646 - 0.577729i) q^{5} +(-1.72463 + 0.160205i) q^{6} +(-0.129654 - 2.64257i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.05622 + 2.80792i) q^{9} +(-2.13856 + 2.54864i) q^{10} +(0.261489 + 0.150971i) q^{11} +(1.21816 - 1.23129i) q^{12} +(-4.16040 - 0.733591i) q^{13} +(1.79793 + 1.94099i) q^{14} +(5.23562 + 2.40733i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(5.10116 - 0.899471i) q^{17} +(-2.61401 - 1.47206i) q^{18} +(0.0697367 + 4.35834i) q^{19} -3.32701i q^{20} +(2.42052 - 3.89115i) q^{21} +(-0.297354 + 0.0524316i) q^{22} +(1.73331 + 4.76222i) q^{23} +(-0.141707 + 1.72624i) q^{24} +(5.70297 - 2.07571i) q^{25} +(3.65859 - 2.11229i) q^{26} +(-1.26398 + 5.04007i) q^{27} +(-2.62494 - 0.331194i) q^{28} +(2.15076 - 0.782814i) q^{29} +(-5.55812 + 1.52127i) q^{30} -6.30226i q^{31} +(0.939693 - 0.342020i) q^{32} +(0.223558 + 0.472788i) q^{33} +(-3.32954 + 3.96800i) q^{34} +(-1.95150 - 8.58339i) q^{35} +(2.94867 - 0.552587i) q^{36} +(1.64763 + 0.951258i) q^{37} +(-2.85491 - 3.29386i) q^{38} +(-5.20169 - 5.14623i) q^{39} +(2.13856 + 2.54864i) q^{40} +(-0.980048 - 5.55813i) q^{41} +(0.646957 + 4.53668i) q^{42} +(5.96069 - 5.00161i) q^{43} +(0.194084 - 0.231301i) q^{44} +(5.08289 + 8.58982i) q^{45} +(-4.38889 - 2.53393i) q^{46} +(3.89897 + 0.687494i) q^{47} +(-1.00105 - 1.41347i) q^{48} +(-6.96638 + 0.685239i) q^{49} +(-3.03449 + 5.25589i) q^{50} +(8.15139 + 3.74799i) q^{51} +(-1.44489 + 3.96981i) q^{52} +(2.00915 - 11.3944i) q^{53} +(-2.27143 - 4.67339i) q^{54} +(0.943979 + 0.343580i) q^{55} +(2.22371 - 1.43357i) q^{56} +(-4.19733 + 6.27554i) q^{57} +(-1.14440 + 1.98215i) q^{58} +(1.60107 + 9.08012i) q^{59} +(3.27991 - 4.73805i) q^{60} +(-2.83479 + 1.03178i) q^{61} +(4.05102 + 4.82781i) q^{62} +(7.28318 - 3.15520i) q^{63} +(-0.500000 + 0.866025i) q^{64} -14.0552 q^{65} +(-0.475157 - 0.218476i) q^{66} +(-8.14775 + 9.71011i) q^{67} -5.17985i q^{68} +(-2.22638 + 8.49074i) q^{69} +(7.01223 + 5.32086i) q^{70} +(-10.7378 + 9.01009i) q^{71} +(-1.90362 + 2.31867i) q^{72} +(-2.41436 + 2.02589i) q^{73} +(-1.87361 + 0.330368i) q^{74} +(10.1680 + 2.66618i) q^{75} +(4.30424 + 0.688141i) q^{76} +(0.365048 - 0.710578i) q^{77} +(7.29266 + 0.598653i) q^{78} +(3.86421 - 10.6168i) q^{79} +(-3.27646 - 0.577729i) q^{80} +(-6.76879 + 5.93157i) q^{81} +(4.32346 + 3.62781i) q^{82} +(-5.22205 - 3.01495i) q^{83} +(-3.41172 - 3.05944i) q^{84} +(16.1941 - 5.89417i) q^{85} +(-1.35118 + 7.66292i) q^{86} +(3.83467 + 1.00550i) q^{87} +0.301942i q^{88} +(-1.68089 - 1.41044i) q^{89} +(-9.41515 - 3.31297i) q^{90} +(-1.39916 + 11.0893i) q^{91} +(4.99086 - 0.880023i) q^{92} +(6.21305 - 8.97516i) q^{93} +(-3.42870 + 1.97956i) q^{94} +(2.74643 + 14.2397i) q^{95} +(1.67541 + 0.439313i) q^{96} +(-0.366989 + 1.00830i) q^{97} +(4.89609 - 5.00283i) q^{98} +(-0.147723 + 0.893698i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) $ 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{18}\right)$	$-1$

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 $

$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$3$	1.42412	+	0.985844i	0.822215	+	0.569177i
$3$	1.42412	+	0.985844i	0.822215	+	0.569177i
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	3.27646	−	0.577729i	1.46528	−	0.258368i	0.616600	−	0.787277i	$-0.288510\pi$
$5$	3.27646	−	0.577729i	1.46528	−	0.258368i	0.848679	+	0.528909i	$0.177399\pi$
$6$	−1.72463	+	0.160205i	−0.704076	+	0.0654034i
$7$	−0.129654	−	2.64257i	−0.0490045	−	0.998799i
$7$	−0.129654	−	2.64257i	−0.0490045	−	0.998799i
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	1.05622	+	2.80792i	0.352074	+	0.935972i
$10$	−2.13856	+	2.54864i	−0.676272	+	0.805949i
$11$	0.261489	+	0.150971i	0.0788419	+	0.0455194i	0.538903	−	0.842368i	$-0.318839\pi$
$11$	0.261489	+	0.150971i	0.0788419	+	0.0455194i	−0.460061	+	0.887887i	$0.652172\pi$
$12$	1.21816	−	1.23129i	0.351653	−	0.355443i
$13$	−4.16040	−	0.733591i	−1.15389	−	0.203461i	−0.436215	−	0.899842i	$-0.643681\pi$
$13$	−4.16040	−	0.733591i	−1.15389	−	0.203461i	−0.717672	+	0.696381i	$0.754792\pi$
$14$	1.79793	+	1.94099i	0.480518	+	0.518751i
$15$	5.23562	+	2.40733i	1.35183	+	0.621569i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	5.10116	−	0.899471i	1.23721	−	0.218154i	0.483492	−	0.875349i	$-0.339368\pi$
$17$	5.10116	−	0.899471i	1.23721	−	0.218154i	0.753720	+	0.657195i	$0.228257\pi$
$18$	−2.61401	−	1.47206i	−0.616127	−	0.346968i
$19$	0.0697367	+	4.35834i	0.0159987	+	0.999872i
$19$	0.0697367	+	4.35834i	0.0159987	+	0.999872i
$20$		−	3.32701i		−	0.743941i
$21$	2.42052	−	3.89115i	0.528201	−	0.849119i
$22$	−0.297354	+	0.0524316i	−0.0633962	+	0.0111785i
$23$	1.73331	+	4.76222i	0.361420	+	0.992992i	0.978528	+	0.206114i	$0.0660817\pi$
$23$	1.73331	+	4.76222i	0.361420	+	0.992992i	−0.617108	+	0.786878i	$0.711696\pi$
$24$	−0.141707	+	1.72624i	−0.0289258	+	0.352368i
$25$	5.70297	−	2.07571i	1.14059	−	0.415142i
$26$	3.65859	−	2.11229i	0.717509	−	0.414254i
$27$	−1.26398	+	5.04007i	−0.243253	+	0.969963i
$28$	−2.62494	−	0.331194i	−0.496067	−	0.0625898i
$29$	2.15076	−	0.782814i	0.399387	−	0.145365i	−0.134515	−	0.990912i	$-0.542948\pi$
$29$	2.15076	−	0.782814i	0.399387	−	0.145365i	0.533901	+	0.845547i	$0.320725\pi$
$30$	−5.55812	+	1.52127i	−1.01477	+	0.277745i
$31$		−	6.30226i		−	1.13192i	−0.824433	−	0.565960i	$-0.808506\pi$
$31$		−	6.30226i		−	1.13192i	0.824433	−	0.565960i	$-0.191494\pi$
$32$	0.939693	−	0.342020i	0.166116	−	0.0604612i
$33$	0.223558	+	0.472788i	0.0389164	+	0.0823018i
$34$	−3.32954	+	3.96800i	−0.571012	+	0.680506i
$35$	−1.95150	−	8.58339i	−0.329863	−	1.45086i
$36$	2.94867	−	0.552587i	0.491445	−	0.0920978i
$37$	1.64763	+	0.951258i	0.270868	+	0.156386i	0.629282	−	0.777177i	$-0.283349\pi$
$37$	1.64763	+	0.951258i	0.270868	+	0.156386i	−0.358414	+	0.933563i	$0.616682\pi$
$38$	−2.85491	−	3.29386i	−0.463127	−	0.534334i
$39$	−5.20169	−	5.14623i	−0.832938	−	0.824056i
$40$	2.13856	+	2.54864i	0.338136	+	0.402975i
$41$	−0.980048	−	5.55813i	−0.153058	−	0.868034i	−0.960540	−	0.278142i	$-0.910281\pi$
$41$	−0.980048	−	5.55813i	−0.153058	−	0.868034i	0.807482	−	0.589892i	$-0.200830\pi$
$42$	0.646957	+	4.53668i	0.0998277	+	0.700025i
$43$	5.96069	−	5.00161i	0.908997	−	0.762739i	−0.0629311	−	0.998018i	$-0.520045\pi$
$43$	5.96069	−	5.00161i	0.908997	−	0.762739i	0.971928	+	0.235279i	$0.0756004\pi$
$44$	0.194084	−	0.231301i	0.0292593	−	0.0348699i
$45$	5.08289	+	8.58982i	0.757712	+	1.28050i
$46$	−4.38889	−	2.53393i	−0.647106	−	0.373607i
$47$	3.89897	+	0.687494i	0.568723	+	0.100281i	0.450613	−	0.892719i	$-0.351205\pi$
$47$	3.89897	+	0.687494i	0.568723	+	0.100281i	0.118110	+	0.993001i	$0.462316\pi$
$48$	−1.00105	−	1.41347i	−0.144490	−	0.204016i
$49$	−6.96638	+	0.685239i	−0.995197	+	0.0978913i
$50$	−3.03449	+	5.25589i	−0.429141	+	0.743295i
$51$	8.15139	+	3.74799i	1.14142	+	0.524824i
$52$	−1.44489	+	3.96981i	−0.200370	+	0.550513i
$53$	2.00915	−	11.3944i	0.275978	−	1.56515i	−0.459861	−	0.887991i	$-0.652101\pi$
$53$	2.00915	−	11.3944i	0.275978	−	1.56515i	0.735839	−	0.677157i	$-0.236788\pi$
$54$	−2.27143	−	4.67339i	−0.309103	−	0.635968i
$55$	0.943979	+	0.343580i	0.127286	+	0.0463284i
$56$	2.22371	−	1.43357i	0.297155	−	0.191569i
$57$	−4.19733	+	6.27554i	−0.555950	+	0.831216i
$58$	−1.14440	+	1.98215i	−0.150267	+	0.260270i
$59$	1.60107	+	9.08012i	0.208442	+	1.18213i	0.891931	+	0.452171i	$0.149350\pi$
$59$	1.60107	+	9.08012i	0.208442	+	1.18213i	−0.683490	+	0.729960i	$0.739539\pi$
$60$	3.27991	−	4.73805i	0.423435	−	0.611680i
$61$	−2.83479	+	1.03178i	−0.362958	+	0.132106i	−0.517060	−	0.855949i	$-0.672974\pi$
$61$	−2.83479	+	1.03178i	−0.362958	+	0.132106i	0.154102	+	0.988055i	$0.450751\pi$
$62$	4.05102	+	4.82781i	0.514479	+	0.613133i
$63$	7.28318	−	3.15520i	0.917594	−	0.397518i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−14.0552			−1.74333
$66$	−0.475157	−	0.218476i	−0.0584878	−	0.0268926i
$67$	−8.14775	+	9.71011i	−0.995406	+	1.18628i	−0.0129244	+	0.999916i	$0.504114\pi$
$67$	−8.14775	+	9.71011i	−0.995406	+	1.18628i	−0.982481	+	0.186362i	$0.940330\pi$
$68$		−	5.17985i		−	0.628149i
$69$	−2.22638	+	8.49074i	−0.268024	+	1.02216i
$70$	7.01223	+	5.32086i	0.838121	+	0.635964i
$71$	−10.7378	+	9.01009i	−1.27434	+	1.06930i	−0.280346	+	0.959899i	$0.590449\pi$
$71$	−10.7378	+	9.01009i	−1.27434	+	1.06930i	−0.993998	+	0.109402i	$0.965106\pi$
$72$	−1.90362	+	2.31867i	−0.224343	+	0.273258i
$73$	−2.41436	+	2.02589i	−0.282579	+	0.237112i	−0.773049	−	0.634346i	$-0.781270\pi$
$73$	−2.41436	+	2.02589i	−0.282579	+	0.237112i	0.490470	+	0.871458i	$0.336825\pi$
$74$	−1.87361	+	0.330368i	−0.217803	+	0.0384046i
$75$	10.1680	+	2.66618i	1.17410	+	0.307864i
$76$	4.30424	+	0.688141i	0.493730	+	0.0789352i
$77$	0.365048	−	0.710578i	0.0416011	−	0.0809779i
$78$	7.29266	+	0.598653i	0.825731	+	0.0677841i
$79$	3.86421	−	10.6168i	0.434757	−	1.19449i	−0.508103	−	0.861296i	$-0.669653\pi$
$79$	3.86421	−	10.6168i	0.434757	−	1.19449i	0.942860	−	0.333189i	$-0.108125\pi$
$80$	−3.27646	−	0.577729i	−0.366320	−	0.0645920i
$81$	−6.76879	+	5.93157i	−0.752087	+	0.659063i
$82$	4.32346	+	3.62781i	0.477446	+	0.400625i
$83$	−5.22205	−	3.01495i	−0.573194	−	0.330934i	0.185230	−	0.982695i	$-0.440697\pi$
$83$	−5.22205	−	3.01495i	−0.573194	−	0.330934i	−0.758424	+	0.651762i	$0.774030\pi$
$84$	−3.41172	−	3.05944i	−0.372249	−	0.333812i
$85$	16.1941	−	5.89417i	1.75650	−	0.639312i
$86$	−1.35118	+	7.66292i	−0.145701	+	0.826313i
$87$	3.83467	+	1.00550i	0.411120	+	0.107801i
$88$			0.301942i			0.0321871i
$89$	−1.68089	−	1.41044i	−0.178174	−	0.149506i	0.549339	−	0.835600i	$-0.314880\pi$
$89$	−1.68089	−	1.41044i	−0.178174	−	0.149506i	−0.727513	+	0.686094i	$0.759324\pi$
$90$	−9.41515	−	3.31297i	−0.992444	−	0.349217i
$91$	−1.39916	+	11.0893i	−0.146671	+	1.16247i
$92$	4.99086	−	0.880023i	0.520333	−	0.0917488i
$93$	6.21305	−	8.97516i	0.644263	−	0.930681i
$94$	−3.42870	+	1.97956i	−0.353643	+	0.204176i
$95$	2.74643	+	14.2397i	0.281778	+	1.46096i
$96$	1.67541	+	0.439313i	0.170996	+	0.0448372i
$97$	−0.366989	+	1.00830i	−0.0372621	+	0.102377i	−0.956928	−	0.290324i	$-0.906237\pi$
$97$	−0.366989	+	1.00830i	−0.0372621	+	0.102377i	0.919666	+	0.392701i	$0.128459\pi$
$98$	4.89609	−	5.00283i	0.494580	−	0.505362i
$99$	−0.147723	+	0.893698i	−0.0148467	+	0.0898200i
$100$	−1.05387	−	5.97678i	−0.105387	−	0.597678i
$101$	0.639214	+	1.75623i	0.0636042	+	0.174751i	0.967424	−	0.253163i	$-0.0814709\pi$
$101$	0.639214	+	1.75623i	0.0636042	+	0.174751i	−0.903819	+	0.427914i	$0.859249\pi$
$102$	−8.65349	+	2.36848i	−0.856823	+	0.234515i
$103$			16.0209i			1.57859i	0.614016	+	0.789294i	$0.289553\pi$
$103$			16.0209i			1.57859i	−0.614016	+	0.789294i	$0.710447\pi$
$104$	−1.44489	−	3.96981i	−0.141683	−	0.389272i
$105$	5.68272	−	14.1476i	0.554577	−	1.38067i
$106$	5.78511	+	10.0201i	0.561900	+	0.973239i
$107$	−4.21178	−	7.29502i	−0.407169	−	0.705237i	0.587403	−	0.809295i	$-0.300150\pi$
$107$	−4.21178	−	7.29502i	−0.407169	−	0.705237i	−0.994571	+	0.104058i	$0.966817\pi$
$108$	4.74402	+	2.11998i	0.456493	+	0.203995i
$109$	−1.47746	+	4.05929i	−0.141515	+	0.388810i	−0.990121	−	0.140216i	$-0.955220\pi$
$109$	−1.47746	+	4.05929i	−0.141515	+	0.388810i	0.848606	+	0.529026i	$0.177442\pi$
$110$	−0.943979	+	0.343580i	−0.0900049	+	0.0327591i
$111$	1.40862	+	2.97901i	0.133701	+	0.282755i
$112$	−0.781978	+	2.52755i	−0.0738900	+	0.238831i
$113$	−10.8346			−1.01924			−0.509618	−	0.860401i	$-0.670213\pi$
$113$	−10.8346			−1.01924			−0.509618	+	0.860401i	$0.670213\pi$
$114$	−0.818497	−	7.50534i	−0.0766593	−	0.702939i
$115$	8.43039	+	14.6019i	0.786138	+	1.36163i
$116$	−0.397445	−	2.25402i	−0.0369018	−	0.209281i
$117$	−2.33445	−	12.4569i	−0.215820	−	1.15164i
$118$	−7.06308	−	5.92663i	−0.650209	−	0.545590i
$119$	−3.03830	−	13.3636i	−0.278521	−	1.22504i
$120$	0.533003	+	5.73784i	0.0486563	+	0.523791i
$121$	−5.45442	−	9.44733i	−0.495856	−	0.858848i
$122$	1.50836	−	2.61256i	0.136561	−	0.236530i
$123$	4.08375	−	8.88161i	0.368219	−	0.800828i
$124$	−6.20652	−	1.09438i	−0.557362	−	0.0982779i
$125$	3.08001	−	1.77825i	0.275485	−	0.159051i
$126$	−3.55111	+	7.09856i	−0.316358	+	0.632390i
$127$	−19.1919	−	3.38404i	−1.70300	−	0.300285i	−0.764261	−	0.644908i	$-0.776896\pi$
$127$	−19.1919	−	3.38404i	−1.70300	−	0.300285i	−0.938741	+	0.344622i	$0.888007\pi$
$128$	−0.173648	−	0.984808i	−0.0153485	−	0.0870455i
$129$	13.4195	−	1.24657i	1.18152	−	0.109755i
$130$	10.7669	−	9.03452i	0.944321	−	0.792379i
$131$	−2.69710	−	3.21428i	−0.235647	−	0.280833i	0.635242	−	0.772313i	$-0.280900\pi$
$131$	−2.69710	−	3.21428i	−0.235647	−	0.280833i	−0.870889	+	0.491480i	$0.836456\pi$
$132$	0.504425	−	0.138063i	0.0439046	−	0.0120168i
$133$	11.5082	−	0.749360i	0.997887	−	0.0649777i
$134$		−	12.6756i		−	1.09501i
$135$	−1.22959	+	17.2439i	−0.105826	+	1.48411i
$136$	3.32954	+	3.96800i	0.285506	+	0.340253i
$137$	14.5978	+	2.57398i	1.24717	+	0.219910i	0.757986	−	0.652271i	$-0.226183\pi$
$137$	14.5978	+	2.57398i	1.24717	+	0.219910i	0.489184	+	0.872180i	$0.337295\pi$
$138$	−3.75224	−	7.93537i	−0.319412	−	0.675503i
$139$	−3.14718	+	17.8486i	−0.266941	+	1.51390i	0.496511	+	0.868030i	$0.334614\pi$
$139$	−3.14718	+	17.8486i	−0.266941	+	1.51390i	−0.763452	+	0.645865i	$0.776497\pi$
$140$	−8.79186	+	0.431359i	−0.743048	+	0.0364565i
$141$	4.87483	+	4.82285i	0.410535	+	0.406157i
$142$	2.43406	−	13.8043i	0.204262	−	1.15843i
$143$	−0.977148	−	0.819925i	−0.0817132	−	0.0685656i
$144$	−0.0321610	−	2.99983i	−0.00268009	−	0.249986i
$145$	6.59464	−	3.80742i	0.547655	−	0.316189i
$146$	0.547291	−	3.10384i	0.0452941	−	0.256876i
$147$	−10.5965	−	5.89190i	−0.873983	−	0.485956i
$148$	1.22291	−	1.45741i	0.100523	−	0.119799i
$149$	0.739610	−	2.03206i	0.0605912	−	0.166473i	−0.905703	−	0.423912i	$-0.860656\pi$
$149$	0.739610	−	2.03206i	0.0605912	−	0.166473i	0.966294	+	0.257439i	$0.0828787\pi$
$150$	−9.50296	+	4.49347i	−0.775913	+	0.366890i
$151$	4.10497	−	2.37000i	0.334058	−	0.192868i	−0.323584	−	0.946200i	$-0.604888\pi$
$151$	4.10497	−	2.37000i	0.334058	−	0.192868i	0.657641	+	0.753331i	$0.271554\pi$
$152$	−3.73957	+	2.23956i	−0.303319	+	0.181653i
$153$	7.91360	+	13.3736i	0.639777	+	1.08119i
$154$	0.177107	+	0.778983i	0.0142717	+	0.0627722i
$155$	−3.64100	−	20.6491i	−0.292452	−	1.65858i
$156$	−5.97131	+	4.22904i	−0.478087	+	0.338594i
$157$	−6.32353	−	2.30158i	−0.504672	−	0.183686i	0.0771220	−	0.997022i	$-0.475427\pi$
$157$	−6.32353	−	2.30158i	−0.504672	−	0.183686i	−0.581794	+	0.813336i	$0.697649\pi$
$158$	3.86421	+	10.6168i	0.307420	+	0.844629i
$159$	14.0944	−	14.2463i	1.11776	−	1.12981i
$160$	2.88127	−	1.66350i	0.227785	−	0.131512i
$161$	12.3598	−	5.19783i	0.974088	−	0.409646i
$162$	1.37245	−	8.89474i	0.107830	−	0.698837i
$163$	−11.9993			−0.939860			−0.469930	−	0.882704i	$-0.655721\pi$
$163$	−11.9993			−0.939860			−0.469930	+	0.882704i	$0.655721\pi$
$164$	−5.64387			−0.440713
$165$	1.00562	+	1.41992i	0.0782875	+	0.110540i
$166$	5.93829	−	1.04708i	0.460901	−	0.0812692i
$167$	−15.3629	−	12.8910i	−1.18882	−	0.997539i	−0.999879	−	0.0155504i	$-0.995050\pi$
$167$	−15.3629	−	12.8910i	−1.18882	−	0.997539i	−0.188941	−	0.981988i	$-0.560506\pi$
$168$	4.58010	+	0.150657i	0.353362	+	0.0116235i
$169$	4.55477	+	1.65780i	0.350367	+	0.127523i
$170$	−8.61670	+	14.9246i	−0.660871	+	1.14466i
$171$	−12.1642	+	4.79919i	−0.930220	+	0.367004i
$172$	−3.89056	−	6.73865i	−0.296653	−	0.513818i
$173$	0.941244	−	0.789798i	0.0715615	−	0.0600472i	−0.606305	−	0.795232i	$-0.707349\pi$
$173$	0.941244	−	0.789798i	0.0715615	−	0.0600472i	0.677867	+	0.735185i	$0.262905\pi$
$174$	−3.58385	+	1.69462i	−0.271691	+	0.128469i
$175$	−6.22463	−	14.8014i	−0.470538	−	1.11888i
$176$	−0.194084	−	0.231301i	−0.0146297	−	0.0174349i
$177$	−6.67147	+	14.5096i	−0.501458	+	1.09061i
$178$	2.19425			0.164466
$179$	−10.9230	+	18.9192i	−0.816422	+	1.41408i	0.0918805	+	0.995770i	$0.470712\pi$
$179$	−10.9230	+	18.9192i	−0.816422	+	1.41408i	−0.908302	+	0.418314i	$0.862621\pi$
$180$	9.34196	−	3.51406i	0.696308	−	0.261923i
$181$	−9.09388	−	24.9852i	−0.675943	−	1.85714i	−0.482129	−	0.876100i	$-0.660136\pi$
$181$	−9.09388	−	24.9852i	−0.675943	−	1.85714i	−0.193814	−	0.981038i	$-0.562086\pi$
$182$	−6.05623	−	9.39423i	−0.448918	−	0.696347i
$183$	−5.05425	−	1.32529i	−0.373621	−	0.0979680i
$184$	−3.25755	+	3.88220i	−0.240150	+	0.286200i
$185$	5.94796	+	2.16488i	0.437303	+	0.159165i
$186$	1.00965	+	10.8690i	0.0740314	+	0.796957i
$187$	1.46969	+	0.534924i	0.107474	+	0.0391175i
$188$	1.35410	−	3.72035i	0.0987577	−	0.271335i
$189$	13.4826	+	2.68670i	0.980718	+	0.195429i
$190$	−11.2570	−	9.14284i	−0.816666	−	0.663291i
$191$	−10.9479	−	6.32075i	−0.792160	−	0.457354i	0.0485625	−	0.998820i	$-0.484536\pi$
$191$	−10.9479	−	6.32075i	−0.792160	−	0.457354i	−0.840722	+	0.541466i	$0.817869\pi$
$192$	−1.56582	+	0.740400i	−0.113004	+	0.0534338i
$193$	9.03006	+	10.7616i	0.649998	+	0.774637i	0.985914	−	0.167255i	$-0.0534903\pi$
$193$	9.03006	+	10.7616i	0.649998	+	0.774637i	−0.335916	+	0.941892i	$0.609046\pi$
$194$	−0.366989	−	1.00830i	−0.0263483	−	0.0723914i
$195$	−20.0163	−	13.8562i	−1.43340	−	0.992266i
$196$	−0.534871	+	6.97954i	−0.0382050	+	0.498538i
$197$	5.87853	+	3.39397i	0.418828	+	0.241811i	0.694576	−	0.719419i	$-0.255592\pi$
$197$	5.87853	+	3.39397i	0.418828	+	0.241811i	−0.275748	+	0.961230i	$0.588925\pi$
$198$	−0.461296	−	0.779567i	−0.0327829	−	0.0554014i
$199$	−9.50638	−	7.97680i	−0.673890	−	0.565461i	0.240324	−	0.970693i	$-0.422746\pi$
$199$	−9.50638	−	7.97680i	−0.673890	−	0.565461i	−0.914214	+	0.405232i	$0.867191\pi$
$200$	4.64911	+	3.90106i	0.328741	+	0.275847i
$201$	−21.1760	+	5.79593i	−1.49364	+	0.408813i
$202$	−1.61855	−	0.934468i	−0.113881	−	0.0657490i
$203$	−2.34750	−	5.58205i	−0.164762	−	0.391783i
$204$	5.10652	−	7.37672i	0.357528	−	0.516473i
$205$	−6.42218	−	17.6448i	−0.448545	−	1.23237i
$206$	−10.2980	−	12.2727i	−0.717499	−	0.855081i
$207$	−11.5412	+	9.89695i	−0.802166	+	0.687886i
$208$	3.65859	+	2.11229i	0.253678	+	0.146461i
$209$	−0.639747	+	1.15019i	−0.0442522	+	0.0795601i
$210$	4.74070	+	14.4905i	0.327139	+	0.999939i
$211$	0.930099	−	2.55543i	0.0640307	−	0.175923i	−0.903551	−	0.428480i	$-0.859049\pi$
$211$	0.930099	−	2.55543i	0.0640307	−	0.175923i	0.967582	+	0.252557i	$0.0812715\pi$
$212$	−10.8725	−	3.95725i	−0.746723	−	0.271785i
$213$	−24.1745	+	2.24563i	−1.65641	+	0.153868i
$214$	7.91556	+	2.88103i	0.541097	+	0.196943i
$215$	16.6404	−	19.8313i	1.13487	−	1.35248i
$216$	−4.99682	+	1.42540i	−0.339991	+	0.0969860i
$217$	−16.6542	+	0.817112i	−1.13056	+	0.0554692i
$218$	−1.47746	−	4.05929i	−0.100066	−	0.274930i
$219$	−5.43554	+	0.504921i	−0.367300	+	0.0341194i
$220$	0.502281	−	0.869976i	0.0338638	−	0.0586538i
$221$	−21.8827			−1.47199
$222$	−2.99394	−	1.37661i	−0.200940	−	0.0923918i
$223$	7.05212	+	8.40439i	0.472245	+	0.562800i	0.948610	−	0.316448i	$-0.102490\pi$
$223$	7.05212	+	8.40439i	0.472245	+	0.562800i	−0.476365	+	0.879248i	$0.658046\pi$
$224$	−1.02565	−	2.43886i	−0.0685290	−	0.162953i
$225$	11.8520	+	13.8211i	0.790136	+	0.921404i
$226$	8.29980	−	6.96436i	0.552095	−	0.463262i
$227$	8.62493	+	14.9388i	0.572457	+	0.991525i	0.996313	+	0.0857950i	$0.0273430\pi$
$227$	8.62493	+	14.9388i	0.572457	+	0.991525i	−0.423856	+	0.905730i	$0.639324\pi$
$228$	5.45134	+	5.22330i	0.361024	+	0.345922i
$229$	8.01844	−	13.8883i	0.529873	−	0.917767i	−0.469519	−	0.882922i	$-0.655573\pi$
$229$	8.01844	−	13.8883i	0.529873	−	0.917767i	0.999393	−	0.0348453i	$-0.0110938\pi$
$230$	−15.8439	−	5.76673i	−1.04472	−	0.380247i
$231$	1.22039	−	0.652066i	0.0802958	−	0.0429028i
$232$	1.75332	+	1.47121i	0.115111	+	0.0965896i
$233$	14.0322	−	2.47425i	0.919277	−	0.162093i	0.306064	−	0.952011i	$-0.400988\pi$
$233$	14.0322	−	2.47425i	0.919277	−	0.162093i	0.613213	+	0.789918i	$0.289877\pi$
$234$	9.79543	+	8.04198i	0.640347	+	0.525720i
$235$	13.1720			0.859247
$236$	9.22020			0.600184
$237$	15.9696	−	11.3101i	1.03734	−	0.734670i
$238$	10.9174	+	8.28409i	0.707670	+	0.536978i
$239$	21.4895	−	12.4070i	1.39004	−	0.802541i	0.396723	−	0.917939i	$-0.370148\pi$
$239$	21.4895	−	12.4070i	1.39004	−	0.802541i	0.993319	+	0.115398i	$0.0368142\pi$
$240$	−4.09652	−	4.05283i	−0.264429	−	0.261609i
$241$	−6.13294	−	16.8501i	−0.395058	−	1.08541i	−0.964661	−	0.263492i	$-0.915126\pi$
$241$	−6.13294	−	16.8501i	−0.395058	−	1.08541i	0.569604	−	0.821919i	$-0.307097\pi$
$242$	10.2509	+	3.73104i	0.658956	+	0.239840i
$243$	−15.4872	+	1.77429i	−0.993501	+	0.113821i
$244$	0.523848	+	2.97089i	0.0335360	+	0.190192i
$245$	−22.4292	+	6.26984i	−1.43295	+	0.400565i
$246$	2.58066	+	9.42869i	0.164537	+	0.601151i
$247$	2.90711	−	18.1836i	0.184975	−	1.15699i
$248$	5.45792	−	3.15113i	0.346578	−	0.200097i
$249$	−4.46454	−	9.44177i	−0.282929	−	0.598348i
$250$	−1.21639	+	3.34201i	−0.0769314	+	0.211367i
$251$	−6.14448	+	7.32271i	−0.387836	+	0.462205i	−0.924271	−	0.381736i	$-0.875326\pi$
$251$	−6.14448	+	7.32271i	−0.387836	+	0.462205i	0.536435	+	0.843942i	$0.319771\pi$
$252$	−1.84256	−	7.72043i	−0.116070	−	0.486341i
$253$	−0.265716	+	1.50695i	−0.0167054	+	0.0947410i
$254$	16.8770	−	9.74396i	1.05896	−	0.611391i
$255$	28.8730	+	7.57086i	1.80810	+	0.474106i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−1.26958	+	7.20014i	−0.0791942	+	0.449132i	0.919265	+	0.393639i	$0.128784\pi$
$257$	−1.26958	+	7.20014i	−0.0791942	+	0.449132i	−0.998459	+	0.0554930i	$0.982327\pi$
$258$	−9.47868	+	9.58084i	−0.590117	+	0.596477i
$259$	2.30015	−	4.47731i	0.142924	−	0.278206i
$260$	−2.44066	+	13.8417i	−0.151363	+	0.858425i
$261$	4.46976	+	5.21234i	0.276671	+	0.322636i
$262$	4.13220	+	0.728619i	0.255288	+	0.0450142i
$263$	18.8690	+	22.4872i	1.16351	+	1.38662i	0.907557	+	0.419929i	$0.137945\pi$
$263$	18.8690	+	22.4872i	1.16351	+	1.38662i	0.255954	+	0.966689i	$0.417610\pi$
$264$	−0.297667	+	0.430000i	−0.0183202	+	0.0264647i
$265$		−	38.4942i		−	2.36468i
$266$	−8.33411	+	7.97137i	−0.510997	+	0.488756i
$267$	−1.00332	−	3.66572i	−0.0614021	−	0.224339i
$268$	8.14775	+	9.71011i	0.497703	+	0.593139i
$269$	−0.0497535	+	0.0417481i	−0.00303352	+	0.00254543i	−0.644303	−	0.764770i	$-0.722852\pi$
$269$	−0.0497535	+	0.0417481i	−0.00303352	+	0.00254543i	0.641270	+	0.767316i	$0.278408\pi$
$270$	−10.1422	−	13.9999i	−0.617235	−	0.852008i
$271$	−2.34081	−	13.2754i	−0.142194	−	0.806422i	−0.969577	−	0.244785i	$-0.921283\pi$
$271$	−2.34081	−	13.2754i	−0.142194	−	0.806422i	0.827383	−	0.561638i	$-0.189828\pi$
$272$	−5.10116	−	0.899471i	−0.309303	−	0.0545385i
$273$	−12.9249	+	14.4131i	−0.782248	+	0.872319i
$274$	−12.8370	+	7.41147i	−0.775515	+	0.447744i
$275$	1.80464	+	0.318206i	0.108824	+	0.0191886i
$276$	7.97514	+	3.66695i	0.480047	+	0.220725i
$277$	−11.5975	+	20.0875i	−0.696829	+	1.20694i	0.272731	+	0.962090i	$0.412073\pi$
$277$	−11.5975	+	20.0875i	−0.696829	+	1.20694i	−0.969560	+	0.244853i	$0.921260\pi$
$278$	−9.06195	−	15.6958i	−0.543500	−	0.941369i
$279$	17.6962	−	6.65659i	1.05945	−	0.398520i
$280$	6.45768	−	5.98174i	0.385920	−	0.357477i
$281$	4.66672	+	3.91584i	0.278393	+	0.233600i	0.771283	−	0.636492i	$-0.219615\pi$
$281$	4.66672	+	3.91584i	0.278393	+	0.233600i	−0.492890	+	0.870092i	$0.664060\pi$
$282$	−6.83440	−	0.561035i	−0.406983	−	0.0334092i
$283$	−2.76961	−	15.7073i	−0.164636	−	0.933699i	−0.949439	−	0.313953i	$-0.898347\pi$
$283$	−2.76961	−	15.7073i	−0.164636	−	0.933699i	0.784802	−	0.619746i	$-0.212765\pi$
$284$	7.00861	+	12.1393i	0.415884	+	0.720333i
$285$	−10.1268	+	22.9865i	−0.599862	+	1.36160i
$286$	1.27558			0.0754264
$287$	−14.5607	+	3.31048i	−0.859491	+	0.195412i
$288$	1.95289	+	2.27733i	0.115075	+	0.134193i
$289$	9.23797	−	3.36235i	0.543410	−	0.197785i
$290$	−2.60443	+	7.15561i	−0.152937	+	0.420192i
$291$	−1.51666	+	1.07414i	−0.0889081	+	0.0629670i
$292$	1.57586	+	2.72947i	0.0922203	+	0.159730i
$293$	−3.55344	−	6.15474i	−0.207594	−	0.359564i	0.743362	−	0.668889i	$-0.233230\pi$
$293$	−3.55344	−	6.15474i	−0.207594	−	0.359564i	−0.950956	+	0.309326i	$0.899897\pi$
$294$	11.9046	−	2.29783i	0.694292	−	0.134012i
$295$	10.4917	+	28.8257i	0.610850	+	1.67830i
$296$			1.90252i			0.110582i
$297$	−1.09142	+	1.12710i	−0.0633307	+	0.0654010i
$298$	0.739610	+	2.03206i	0.0428445	+	0.117714i
$299$	−3.71773	−	21.0843i	−0.215002	−	1.21934i
$300$	4.39134	−	9.55058i	0.253534	−	0.551403i
$301$	−13.9900	−	15.1031i	−0.806367	−	0.870527i
$302$	−1.62118	+	4.45415i	−0.0932883	+	0.256308i
$303$	−0.821049	+	3.13124i	−0.0471680	+	0.179885i
$304$	1.42511	−	4.11935i	0.0817356	−	0.236261i
$305$	−8.69200	+	5.01833i	−0.497703	+	0.287349i
$306$	−14.6585	−	5.15799i	−0.837973	−	0.294863i
$307$	−15.1712	+	2.67510i	−0.865867	+	0.152676i	−0.588902	−	0.808204i	$-0.700440\pi$
$307$	−15.1712	+	2.67510i	−0.865867	+	0.152676i	−0.276965	+	0.960880i	$0.589329\pi$
$308$	−0.636393	−	0.482893i	−0.0362618	−	0.0275154i
$309$	−15.7941	+	22.8157i	−0.898496	+	1.29794i
$310$	16.0622	+	13.4778i	0.912270	+	0.765485i
$311$		−	13.0386i		−	0.739349i	−0.929161	−	0.369674i	$-0.879469\pi$
$311$		−	13.0386i		−	0.739349i	0.929161	−	0.369674i	$-0.120531\pi$
$312$	1.85592	−	7.07791i	0.105071	−	0.400708i
$313$	1.02500	−	5.81306i	0.0579364	−	0.328573i	−0.942040	−	0.335502i	$-0.891094\pi$
$313$	1.02500	−	5.81306i	0.0579364	−	0.328573i	0.999976	+	0.00692817i	$0.00220532\pi$
$314$	6.32353	−	2.30158i	0.356857	−	0.129885i
$315$	22.0402	−	14.5456i	1.24183	−	0.819552i
$316$	−9.78451	−	5.64909i	−0.550422	−	0.317786i
$317$	13.9490	+	11.7046i	0.783451	+	0.657394i	0.944115	−	0.329616i	$-0.106919\pi$
$317$	13.9490	+	11.7046i	0.783451	+	0.657394i	−0.160664	+	0.987009i	$0.551364\pi$
$318$	−1.63958	+	19.9730i	−0.0919432	+	1.12003i
$319$	0.680583	+	0.120005i	0.0381053	+	0.00671900i
$320$	−1.13790	+	3.12636i	−0.0636107	+	0.174769i
$321$	1.19368	−	14.5411i	0.0666247	−	0.811607i
$322$	−6.12705	+	11.9265i	−0.341447	+	0.664637i
$323$	4.27594	+	22.1699i	0.237920	+	1.23356i
$324$	4.66607	+	7.69596i	0.259226	+	0.427553i
$325$	−25.2494	+	4.45215i	−1.40058	+	0.246961i
$326$	9.19202	−	7.71302i	0.509099	−	0.427185i
$327$	−6.10591	+	4.32436i	−0.337657	+	0.239138i
$328$	4.32346	−	3.62781i	0.238723	−	0.200312i
$329$	1.31124	−	10.3924i	0.0722908	−	0.572954i
$330$	−1.68305	−	0.441317i	−0.0926491	−	0.0242937i
$331$			27.6844i			1.52167i	0.648946	+	0.760835i	$0.275210\pi$
$331$			27.6844i			1.52167i	−0.648946	+	0.760835i	$0.724790\pi$
$332$	−3.87594	+	4.61917i	−0.212720	+	0.253510i
$333$	−0.930791	+	5.63114i	−0.0510070	+	0.308585i
$334$	20.0549			1.09736
$335$	−21.0860	+	36.5220i	−1.15205	+	1.99541i
$336$	−3.60540	+	2.82862i	−0.196691	+	0.154314i
$337$	−1.66029	−	1.97865i	−0.0904416	−	0.107784i	0.718926	−	0.695087i	$-0.244634\pi$
$337$	−1.66029	−	1.97865i	−0.0904416	−	0.107784i	−0.809367	+	0.587303i	$0.800190\pi$
$338$	−4.55477	+	1.65780i	−0.247747	+	0.0901724i
$339$	−15.4298	−	10.6812i	−0.838031	−	0.580126i
$340$	−2.99255	−	16.9716i	−0.162294	−	0.920413i
$341$	0.951457	−	1.64797i	0.0515243	−	0.0892427i
$342$	6.23345	−	11.4954i	0.337067	−	0.621600i
$343$	2.71401	+	18.3203i	0.146543	+	0.989204i
$344$	7.31187	+	2.66130i	0.394230	+	0.143488i
$345$	−2.38929	+	29.1058i	−0.128635	+	1.56700i
$346$	−0.213363	+	1.21004i	−0.0114705	+	0.0650522i
$347$	−6.72969	+	18.4897i	−0.361268	+	0.992577i	0.617313	+	0.786718i	$0.288221\pi$
$347$	−6.72969	+	18.4897i	−0.361268	+	0.992577i	−0.978582	+	0.205859i	$0.934001\pi$
$348$	1.65611	−	3.60181i	0.0887766	−	0.193077i
$349$	9.59031	−	16.6109i	0.513357	−	0.889161i	−0.486523	−	0.873668i	$-0.661735\pi$
$349$	9.59031	−	16.6109i	0.513357	−	0.889161i	0.999880	−	0.0154930i	$-0.00493177\pi$
$350$	14.2825	+	7.33741i	0.763432	+	0.392201i
$351$	8.95602	−	20.0415i	0.478037	−	1.06974i
$352$	0.297354	+	0.0524316i	0.0158490	+	0.00279461i
$353$	28.9796	+	16.7314i	1.54243	+	0.890522i	0.998685	+	0.0512702i	$0.0163270\pi$
$353$	28.9796	+	16.7314i	1.54243	+	0.890522i	0.543744	+	0.839251i	$0.317006\pi$
$354$	−4.21593	−	15.4033i	−0.224074	−	0.818677i
$355$	−29.9766	+	35.7248i	−1.59100	+	1.89607i
$356$	−1.68089	+	1.41044i	−0.0890871	+	0.0747530i
$357$	8.84748	−	22.0266i	0.468258	−	1.16577i
$358$	−3.79351	−	21.5141i	−0.200493	−	1.13705i
$359$	7.07238	+	8.42853i	0.373266	+	0.444841i	0.919677	−	0.392676i	$-0.128451\pi$
$359$	7.07238	+	8.42853i	0.373266	+	0.444841i	−0.546411	+	0.837517i	$0.684006\pi$
$360$	−4.89756	+	8.69682i	−0.258124	+	0.458363i
$361$	−18.9903	+	0.607873i	−0.999488	+	0.0319933i
$362$	23.0265	+	13.2944i	1.21025	+	0.698737i
$363$	1.54586	−	18.8313i	0.0811366	−	0.988387i
$364$	10.6778	+	3.30353i	0.559671	+	0.173152i
$365$	−6.74014	+	8.03259i	−0.352795	+	0.420445i
$366$	4.72366	−	2.23358i	0.246910	−	0.116751i
$367$	13.5113	−	4.91771i	0.705284	−	0.256702i	0.0356185	−	0.999365i	$-0.488660\pi$
$367$	13.5113	−	4.91771i	0.705284	−	0.256702i	0.669665	+	0.742663i	$0.266438\pi$
$368$		−	5.06785i		−	0.264180i
$369$	14.5716	−	8.62252i	0.758568	−	0.448870i
$370$	−5.94796	+	2.16488i	−0.309220	+	0.112547i
$371$	−30.3711	−	3.83199i	−1.57679	−	0.198947i
$372$	−7.75993	−	7.67718i	−0.402333	−	0.398043i
$373$	16.8586	−	9.73332i	0.872905	−	0.503972i	0.00459256	−	0.999989i	$-0.498538\pi$
$373$	16.8586	−	9.73332i	0.872905	−	0.503972i	0.868313	+	0.496017i	$0.165205\pi$
$374$	−1.46969	+	0.534924i	−0.0759959	+	0.0276602i
$375$	6.13938	+	0.503981i	0.317036	+	0.0260254i
$376$	1.35410	+	3.72035i	0.0698323	+	0.191863i
$377$	−9.52230	+	1.67904i	−0.490423	+	0.0864749i
$378$	−12.0553	+	6.60835i	−0.620057	+	0.339897i
$379$			3.01169i			0.154700i	0.997004	+	0.0773502i	$0.0246459\pi$
$379$			3.01169i			0.154700i	−0.997004	+	0.0773502i	$0.975354\pi$
$380$	14.5002	−	0.232015i	0.743846	−	0.0119021i
$381$	−23.9953	−	23.7395i	−1.22932	−	1.21621i
$382$	12.4495	−	2.19517i	0.636970	−	0.112315i
$383$	17.0619	+	6.21001i	0.871820	+	0.317317i	0.738904	−	0.673811i	$-0.235344\pi$
$383$	17.0619	+	6.21001i	0.871820	+	0.317317i	0.132916	+	0.991127i	$0.457566\pi$
$384$	0.723571	−	1.57367i	0.0369246	−	0.0803061i
$385$	0.785546	−	2.53908i	0.0400351	−	0.129404i
$386$	−13.8349	−	2.43946i	−0.704175	−	0.124165i
$387$	20.3399	+	11.4543i	1.03394	+	0.582255i
$388$	0.929250	+	0.536503i	0.0471755	+	0.0272368i
$389$	2.00966	−	2.39502i	0.101894	−	0.121432i	−0.712688	−	0.701482i	$-0.752522\pi$
$389$	2.00966	−	2.39502i	0.101894	−	0.121432i	0.814581	+	0.580049i	$0.196967\pi$
$390$	24.2400	−	2.25171i	1.22744	−	0.114020i
$391$	13.1254	+	22.7338i	0.663778	+	1.14970i
$392$	−4.07662	−	5.69044i	−0.205901	−	0.287411i
$393$	−0.672212	−	7.23644i	−0.0339086	−	0.365030i
$394$	−6.68482	+	1.17871i	−0.336777	+	0.0593828i
$395$	6.52728	−	37.0181i	0.328423	−	1.86258i
$396$	0.854469	+	0.300667i	0.0429387	+	0.0151091i
$397$	−22.0495	+	18.5017i	−1.10663	+	0.928575i	−0.997853	−	0.0654909i	$-0.979139\pi$
$397$	−22.0495	+	18.5017i	−1.10663	+	0.928575i	−0.108779	+	0.994066i	$0.534694\pi$
$398$	12.4097			0.622042
$399$	17.1278	+	10.2781i	0.857461	+	0.514549i
$400$	−6.06898			−0.303449
$401$	13.0291	−	10.9327i	0.650641	−	0.545952i	−0.256625	−	0.966511i	$-0.582610\pi$
$401$	13.0291	−	10.9327i	0.650641	−	0.545952i	0.907265	+	0.420559i	$0.138166\pi$
$402$	12.4962	−	18.0516i	0.623254	−	0.900332i
$403$	−4.62328	+	26.2199i	−0.230302	+	1.30611i
$404$	1.84054	−	0.324537i	0.0915705	−	0.0161463i
$405$	−18.7508	+	23.3451i	−0.931736	+	1.16003i
$406$	5.38636	+	2.76716i	0.267321	+	0.137332i
$407$	0.287224	+	0.497487i	0.0142372	+	0.0246595i
$408$	0.829837	+	8.93330i	0.0410831	+	0.442264i
$409$	1.21427	−	1.44711i	0.0600419	−	0.0715552i	−0.735188	−	0.677864i	$-0.762906\pi$
$409$	1.21427	−	1.44711i	0.0600419	−	0.0715552i	0.795229	+	0.606309i	$0.207350\pi$
$410$	16.2615	+	9.38861i	0.803100	+	0.463670i
$411$	18.2514	+	18.0568i	0.900274	+	0.890674i
$412$	15.7775	+	2.78200i	0.777302	+	0.137059i
$413$	23.7873	−	5.40822i	1.17050	−	0.266121i
$414$	2.47941	−	15.0000i	0.121856	−	0.737211i
$415$	−18.8517	−	6.86144i	−0.925391	−	0.336815i
$416$	−4.16040	+	0.733591i	−0.203980	+	0.0359672i
$417$	−22.0779	+	22.3158i	−1.08116	+	1.09281i
$418$	−0.249251	−	1.29232i	−0.0121913	−	0.0632092i
$419$		−	8.51566i		−	0.416017i	−0.978127	−	0.208009i	$-0.933302\pi$
$419$		−	8.51566i		−	0.416017i	0.978127	−	0.208009i	$-0.0666982\pi$
$420$	−12.9459	−	8.05310i	−0.631695	−	0.392951i
$421$	31.7491	−	5.59822i	1.54736	−	0.272841i	0.666239	−	0.745738i	$-0.267903\pi$
$421$	31.7491	−	5.59822i	1.54736	−	0.272841i	0.881117	+	0.472898i	$0.156792\pi$
$422$	0.930099	+	2.55543i	0.0452765	+	0.124396i
$423$	2.18776	+	11.6741i	0.106372	+	0.567615i
$424$	10.8725	−	3.95725i	0.528013	−	0.192181i
$425$	27.2247	−	15.7182i	1.32059	−	0.762444i
$426$	17.0752	−	17.2593i	0.827298	−	0.836215i
$427$	3.09409	+	7.35737i	0.149734	+	0.356048i
$428$	−7.91556	+	2.88103i	−0.382613	+	0.139260i
$429$	−0.583256	−	2.13099i	−0.0281599	−	0.102885i
$430$			25.8879i			1.24842i
$431$	31.8423	−	11.5897i	1.53379	−	0.558254i	0.569245	−	0.822168i	$-0.307236\pi$
$431$	31.8423	−	11.5897i	1.53379	−	0.558254i	0.964546	+	0.263914i	$0.0850135\pi$
$432$	2.91156	−	4.30381i	0.140083	−	0.207067i
$433$	−5.44953	+	6.49449i	−0.261888	+	0.312105i	−0.880925	−	0.473256i	$-0.843079\pi$
$433$	−5.44953	+	6.49449i	−0.261888	+	0.312105i	0.619037	+	0.785362i	$0.287523\pi$
$434$	12.2326	−	11.3310i	0.587184	−	0.543908i
$435$	13.1451	+	1.07908i	0.630258	+	0.0517378i
$436$	3.74106	+	2.15990i	0.179164	+	0.103441i
$437$	−20.6345	+	7.88645i	−0.987083	+	0.377260i
$438$	3.83931	−	3.88069i	0.183449	−	0.185427i
$439$	−4.14584	−	4.94081i	−0.197870	−	0.235812i	0.657981	−	0.753034i	$-0.271411\pi$
$439$	−4.14584	−	4.94081i	−0.197870	−	0.235812i	−0.855851	+	0.517222i	$0.826966\pi$
$440$	0.174440	+	0.989300i	0.00831612	+	0.0471630i
$441$	−9.28214	−	18.8372i	−0.442007	−	0.897012i
$442$	16.7631	−	14.0659i	0.797340	−	0.669048i
$443$	24.7352	−	29.4783i	1.17521	−	1.40055i	0.277062	−	0.960852i	$-0.410639\pi$
$443$	24.7352	−	29.4783i	1.17521	−	1.40055i	0.898143	−	0.439703i	$-0.144916\pi$
$444$	3.17835	−	0.869924i	0.150838	−	0.0412848i
$445$	−6.32223	−	3.65014i	−0.299702	−	0.173033i
$446$	−10.8045	−	1.90512i	−0.511607	−	0.0902101i
$447$	3.05659	−	2.16476i	0.144572	−	0.102389i
$448$	2.35336	+	1.20900i	0.111186	+	0.0571200i
$449$	6.58960	−	11.4135i	0.310982	−	0.538637i	−0.667593	−	0.744526i	$-0.732675\pi$
$449$	6.58960	−	11.4135i	0.310982	−	0.538637i	0.978575	+	0.205889i	$0.0660087\pi$
$450$	−17.9632	−	2.96920i	−0.846793	−	0.139969i
$451$	0.582843	−	1.60135i	0.0274450	−	0.0754046i
$452$	−1.88141	+	10.6700i	−0.0884942	+	0.501876i
$453$	8.18241	+	0.671693i	0.384443	+	0.0315589i
$454$	−16.2096	−	5.89980i	−0.760753	−	0.276891i
$455$	1.82231	+	37.1419i	0.0854313	+	1.74124i
$456$	−7.53344	−	0.497225i	−0.352786	−	0.0232847i
$457$	9.81034	−	16.9920i	0.458909	−	0.794853i	−0.539995	−	0.841668i	$-0.681574\pi$
$457$	9.81034	−	16.9920i	0.458909	−	0.794853i	0.998904	+	0.0468153i	$0.0149072\pi$
$458$	2.78477	+	15.7932i	0.130124	+	0.737970i
$459$	−1.91436	+	26.8471i	−0.0893549	+	1.25312i
$460$	15.8439	−	5.76673i	0.738728	−	0.268875i
$461$	−18.1867	−	21.6741i	−0.847041	−	1.00946i	−0.999775	−	0.0211969i	$-0.993252\pi$
$461$	−18.1867	−	21.6741i	−0.847041	−	1.00946i	0.152734	−	0.988267i	$-0.451192\pi$
$462$	−0.515734	+	1.28396i	−0.0239941	+	0.0597354i
$463$	−11.4652	+	19.8582i	−0.532831	+	0.922890i	0.466434	+	0.884556i	$0.345538\pi$
$463$	−11.4652	+	19.8582i	−0.532831	+	0.922890i	−0.999265	+	0.0383342i	$0.987795\pi$
$464$	−2.28879			−0.106255
$465$	15.1716	−	32.9962i	0.703566	−	1.53016i
$466$	−9.15884	+	10.9151i	−0.424275	+	0.505631i
$467$		−	4.41121i		−	0.204126i	−0.994778	−	0.102063i	$-0.967456\pi$
$467$		−	4.41121i		−	0.204126i	0.994778	−	0.102063i	$-0.0325444\pi$
$468$	−12.6730	+	0.135867i	−0.585810	+	0.00628045i
$469$	26.7160	+	20.2721i	1.23363	+	0.936077i
$470$	−10.0903	+	8.46681i	−0.465433	+	0.390545i
$471$	−6.73645	−	9.51172i	−0.310399	−	0.438277i
$472$	−7.06308	+	5.92663i	−0.325105	+	0.272795i
$473$	2.31375	−	0.407977i	0.106386	−	0.0187588i
$474$	−4.96344	+	18.9291i	−0.227978	+	0.869442i
$475$	9.44437	+	24.7107i	0.433337	+	1.13381i
$476$	−13.6881	+	0.671587i	−0.627394	+	0.0307821i
$477$	34.1168	−	6.39356i	1.56210	−	0.292741i
$478$	−8.48688	+	23.3175i	−0.388181	+	1.06652i
$479$	−17.0222	−	3.00147i	−0.777762	−	0.137140i	−0.229345	−	0.973345i	$-0.573658\pi$
$479$	−17.0222	−	3.00147i	−0.777762	−	0.137140i	−0.548417	+	0.836205i	$0.684769\pi$
$480$	5.74323	+	0.471461i	0.262141	+	0.0215191i
$481$	−6.15695	−	5.16630i	−0.280733	−	0.235563i
$482$	15.5292	+	8.96576i	0.707334	+	0.408379i
$483$	22.7260	+	4.78250i	1.03407	+	0.217611i
$484$	−10.2509	+	3.73104i	−0.465952	+	0.169593i
$485$	−0.619906	+	3.51566i	−0.0281485	+	0.159638i
$486$	10.7234	−	11.3141i	0.486421	−	0.513220i
$487$		−	10.0906i		−	0.457251i	−0.973514	−	0.228625i	$-0.926577\pi$
$487$		−	10.0906i		−	0.457251i	0.973514	−	0.228625i	$-0.0734231\pi$
$488$	−2.31094	−	1.93911i	−0.104612	−	0.0877795i
$489$	−17.0885	−	11.8295i	−0.772767	−	0.534947i
$490$	13.1516	−	19.2202i	0.594128	−	0.868279i
$491$	−23.0604	+	4.06616i	−1.04070	+	0.183503i	−0.667779	−	0.744360i	$-0.732755\pi$
$491$	−23.0604	+	4.06616i	−1.04070	+	0.183503i	−0.372921	+	0.927863i	$0.621644\pi$
$492$	−8.03754	−	5.56398i	−0.362360	−	0.250844i
$493$	10.2673	−	5.92781i	0.462414	−	0.266975i
$494$	9.46122	+	15.7981i	0.425680	+	0.710790i
$495$	0.0323077	+	3.01351i	0.00145212	+	0.135447i
$496$	−2.15550	+	5.92219i	−0.0967848	+	0.265914i
$497$	25.2020	+	27.2073i	1.13047	+	1.22041i
$498$	9.48908	+	4.36306i	0.425216	+	0.195513i
$499$	5.98137	+	33.9221i	0.267763	+	1.51856i	0.761050	+	0.648693i	$0.224684\pi$
$499$	5.98137	+	33.9221i	0.267763	+	1.51856i	−0.493287	+	0.869867i	$0.664205\pi$
$500$	−1.21639	−	3.34201i	−0.0543987	−	0.149459i
$501$	−9.17009	−	33.5038i	−0.409689	−	1.49684i
$502$		−	9.55912i		−	0.426644i
$503$	11.0359	+	30.3209i	0.492066	+	1.35194i	0.898786	+	0.438387i	$0.144450\pi$
$503$	11.0359	+	30.3209i	0.492066	+	1.35194i	−0.406720	+	0.913553i	$0.633328\pi$
$504$	6.37408	+	4.72982i	0.283924	+	0.210683i
$505$	3.10898	+	5.38492i	0.138348	+	0.239626i
$506$	−0.765097	−	1.32519i	−0.0340127	−	0.0589118i
$507$	4.85219	+	6.85119i	0.215494	+	0.304272i
$508$	−6.66526	+	18.3127i	−0.295723	+	0.812493i
$509$	23.2557	−	8.46439i	1.03079	−	0.375178i	0.229410	−	0.973330i	$-0.426320\pi$
$509$	23.2557	−	8.46439i	1.03079	−	0.375178i	0.801383	+	0.598152i	$0.204098\pi$
$510$	−26.9845	+	12.7596i	−1.19489	+	0.565005i
$511$	5.66659	+	6.11746i	0.250675	+	0.270620i
$512$	−1.00000			−0.0441942
$513$	−22.0545	−	5.15738i	−0.973730	−	0.227704i
$514$	−3.65561	−	6.33170i	−0.161242	−	0.279279i
$515$	9.25574	+	52.4919i	0.407857	+	2.31307i
$516$	1.10264	−	13.4321i	0.0485411	−	0.591316i
$517$	0.915746	+	0.768403i	0.0402745	+	0.0337943i
$518$	1.11594	+	4.90832i	0.0490317	+	0.215659i
$519$	2.11906	−	0.196845i	0.0930164	−	0.00864053i
$520$	−7.02761	−	12.1722i	−0.308181	−	0.533785i
$521$	9.89583	−	17.1401i	0.433544	−	0.750921i	−0.563631	−	0.826027i	$-0.690596\pi$
$521$	9.89583	−	17.1401i	0.433544	−	0.750921i	0.997176	+	0.0751057i	$0.0239294\pi$
$522$	−6.77446	−	1.11977i	−0.296510	−	0.0490112i
$523$	21.0634	+	3.71404i	0.921036	+	0.162404i	0.614011	−	0.789298i	$-0.289555\pi$
$523$	21.0634	+	3.71404i	0.921036	+	0.162404i	0.307026	+	0.951701i	$0.400666\pi$
$524$	−3.63380	+	2.09797i	−0.158743	+	0.0916505i
$525$	5.72726	−	27.2154i	0.249958	−	1.18778i
$526$	−28.9089	−	5.09743i	−1.26049	−	0.222258i
$527$	−5.66870	−	32.1488i	−0.246933	−	1.40042i
$528$	−0.0483725	−	0.520736i	−0.00210514	−	0.0226621i
$529$	−2.05539	+	1.72467i	−0.0893646	+	0.0749858i
$530$	24.7436	+	29.4883i	1.07479	+	1.28089i
$531$	−23.8051	+	14.0863i	−1.03305	+	0.611293i
$532$	1.26040	−	11.4635i	0.0546453	−	0.497005i
$533$			23.8430i			1.03276i
$534$	3.12487	+	2.16319i	0.135226	+	0.0936103i
$535$	−18.0143	−	21.4686i	−0.778826	−	0.928169i
$536$	−12.4831	−	2.20110i	−0.539187	−	0.0950731i
$537$	−34.2070	+	16.1748i	−1.47614	+	0.697992i
$538$	0.0112782	−	0.0639619i	0.000486238	−	0.00275759i
$539$	−1.92508	−	0.872537i	−0.0829192	−	0.0375828i
$540$	16.7684	+	4.20528i	0.721595	+	0.180966i
$541$	−4.98177	+	28.2530i	−0.214183	+	1.21469i	0.668135	+	0.744040i	$0.267093\pi$
$541$	−4.98177	+	28.2530i	−0.214183	+	1.21469i	−0.882318	+	0.470653i	$0.844018\pi$
$542$	10.3264	+	8.66489i	0.443558	+	0.372189i
$543$	11.6808	−	44.5471i	0.501271	−	1.91170i
$544$	4.48588	−	2.58992i	0.192331	−	0.111042i
$545$	−2.49568	+	14.1537i	−0.106903	+	0.606277i
$546$	0.636464	−	19.3490i	0.0272381	−	0.828061i
$547$	3.89418	−	4.64090i	0.166503	−	0.198430i	−0.676341	−	0.736589i	$-0.736435\pi$
$547$	3.89418	−	4.64090i	0.166503	−	0.198430i	0.842844	+	0.538158i	$0.180880\pi$
$548$	5.06975	−	13.9290i	0.216569	−	0.595018i
$549$	−5.89132	−	6.87007i	−0.251436	−	0.293207i
$550$	−1.58697	+	0.916238i	−0.0676687	+	0.0390685i
$551$	3.56176	+	9.31917i	0.151736	+	0.397010i
$552$	−8.46638	+	2.31727i	−0.360353	+	0.0986296i
$553$	−28.5567	−	8.83493i	−1.21436	−	0.375700i
$554$	−4.02779	−	22.8427i	−0.171124	−	0.970494i
$555$	6.33636	+	8.94680i	0.268963	+	0.379771i
$556$	17.0309	+	6.19874i	0.722271	+	0.262885i
$557$	4.23692	+	11.6408i	0.179524	+	0.493238i	0.996515	−	0.0834119i	$-0.0265817\pi$
$557$	4.23692	+	11.6408i	0.179524	+	0.493238i	−0.816991	+	0.576650i	$0.804359\pi$
$558$	−9.27732	+	16.4742i	−0.392740	+	0.697407i
$559$	−28.4680	+	16.4360i	−1.20407	+	0.695169i
$560$	−1.10188	+	8.73319i	−0.0465631	+	0.369045i
$561$	1.56566	+	2.21068i	0.0661023	+	0.0933350i
$562$	−6.09197			−0.256974
$563$	−3.72444			−0.156966			−0.0784831	−	0.996915i	$-0.525008\pi$
$563$	−3.72444			−0.156966			−0.0784831	+	0.996915i	$0.525008\pi$
$564$	5.59608	−	3.96329i	0.235638	−	0.166885i
$565$	−35.4992	+	6.25947i	−1.49346	+	0.263338i
$566$	12.2181	+	10.2522i	0.513564	+	0.430931i
$567$	16.5522	+	17.1180i	0.695127	+	0.718887i
$568$	−13.1719	−	4.79417i	−0.552680	−	0.201159i
$569$	−21.2080	+	36.7333i	−0.889084	+	1.53994i	−0.0481239	+	0.998841i	$0.515324\pi$
$569$	−21.2080	+	36.7333i	−0.889084	+	1.53994i	−0.840960	+	0.541097i	$0.818009\pi$
$570$	−7.01782	−	24.1181i	−0.293944	−	1.01020i
$571$	−19.4001	−	33.6020i	−0.811870	−	1.40620i	−0.911554	−	0.411181i	$-0.865116\pi$
$571$	−19.4001	−	33.6020i	−0.811870	−	1.40620i	0.0996832	−	0.995019i	$-0.468217\pi$
$572$	−0.977148	+	0.819925i	−0.0408566	+	0.0342828i
$573$	−9.35977	−	19.7944i	−0.391010	−	0.826922i
$574$	9.02620	−	11.8954i	0.376747	−	0.496505i
$575$	19.7700	+	23.5610i	0.824466	+	0.982561i
$576$	−2.95984	−	0.489242i	−0.123327	−	0.0203851i
$577$	16.3903			0.682335			0.341168	−	0.940002i	$-0.389178\pi$
$577$	16.3903			0.682335			0.341168	+	0.940002i	$0.389178\pi$
$578$	−4.91542	+	8.51376i	−0.204455	+	0.354126i
$579$	2.25060	+	24.2280i	0.0935318	+	1.00688i
$580$	−2.60443	−	7.15561i	−0.108143	−	0.297120i
$581$	−7.29016	+	14.1905i	−0.302447	+	0.588723i
$582$	0.471386	−	1.79773i	0.0195396	−	0.0745181i
$583$	2.24560	−	2.67620i	0.0930032	−	0.110837i
$584$	−2.96165	−	1.07795i	−0.122554	−	0.0446060i
$585$	−14.8454	−	39.4659i	−0.613783	−	1.63171i
$586$	6.67828	+	2.43070i	0.275877	+	0.100411i
$587$	0.879758	−	2.41712i	0.0363115	−	0.0997650i	−0.920212	−	0.391420i	$-0.871984\pi$
$587$	0.879758	−	2.41712i	0.0363115	−	0.0997650i	0.956523	+	0.291655i	$0.0942060\pi$
$588$	−7.64245	+	9.41238i	−0.315169	+	0.388160i
$589$	27.4674	−	0.439499i	1.13177	−	0.0181092i
$590$	−26.5659	−	15.3378i	−1.09370	−	0.631448i
$591$	5.02580	+	10.6287i	0.206734	+	0.437208i
$592$	−1.22291	−	1.45741i	−0.0502614	−	0.0598993i
$593$	−13.7061	−	37.6572i	−0.562841	−	1.54639i	−0.815451	−	0.578826i	$-0.803511\pi$
$593$	−13.7061	−	37.6572i	−0.562841	−	1.54639i	0.252610	−	0.967568i	$-0.418711\pi$
$594$	0.111591	−	1.56496i	0.00457865	−	0.0642111i
$595$	−17.6754	−	42.0299i	−0.724621	−	1.72306i
$596$	−1.87276	−	1.08124i	−0.0767112	−	0.0442892i
$597$	−5.67433	−	20.7317i	−0.232235	−	0.848493i
$598$	16.4007	+	13.7618i	0.670673	+	0.562761i
$599$	0.529661	+	0.444439i	0.0216414	+	0.0181593i	0.653544	−	0.756888i	$-0.273281\pi$
$599$	0.529661	+	0.444439i	0.0216414	+	0.0181593i	−0.631903	+	0.775048i	$0.717726\pi$
$600$	2.77503	+	10.1389i	0.113290	+	0.413918i
$601$	−33.5491	−	19.3696i	−1.36850	−	0.790103i	−0.377762	−	0.925903i	$-0.623306\pi$
$601$	−33.5491	−	19.3696i	−1.36850	−	0.790103i	−0.990736	+	0.135800i	$0.956640\pi$
$602$	20.4250	+	2.57706i	0.832461	+	0.105033i
$603$	−35.8710	−	12.6222i	−1.46078	−	0.514014i
$604$	−1.62118	−	4.45415i	−0.0659648	−	0.181237i
$605$	−23.3292	−	27.8026i	−0.948466	−	1.13034i
$606$	−1.38376	−	2.92643i	−0.0562115	−	0.118878i
$607$	−8.95263	−	5.16880i	−0.363376	−	0.209795i	0.307185	−	0.951650i	$-0.400613\pi$
$607$	−8.95263	−	5.16880i	−0.363376	−	0.209795i	−0.670561	+	0.741855i	$0.733946\pi$
$608$	1.55617	+	4.07165i	0.0631111	+	0.165127i
$609$	2.15992	−	10.2638i	0.0875245	−	0.415909i
$610$	3.43274	−	9.43137i	0.138988	−	0.381865i
$611$	−15.7169	−	5.72050i	−0.635839	−	0.231426i
$612$	14.5446	−	5.47108i	0.587930	−	0.221155i
$613$	17.9138	+	6.52007i	0.723530	+	0.263343i	0.677423	−	0.735593i	$-0.263096\pi$
$613$	17.9138	+	6.52007i	0.723530	+	0.263343i	0.0461063	+	0.998937i	$0.485319\pi$
$614$	9.90231	−	11.8011i	0.399625	−	0.476254i
$615$	8.24908	−	31.4596i	0.332635	−	1.26857i
$616$	0.797902	−	0.0391479i	0.0321484	−	0.00157731i
$617$	−7.86913	−	21.6202i	−0.316799	−	0.870398i	−0.991240	−	0.132070i	$-0.957838\pi$
$617$	−7.86913	−	21.6202i	−0.316799	−	0.870398i	0.674441	−	0.738328i	$-0.264385\pi$
$618$	−2.56663	−	27.6301i	−0.103245	−	1.11144i
$619$	18.7205	−	32.4248i	0.752440	−	1.30326i	−0.194197	−	0.980963i	$-0.562210\pi$
$619$	18.7205	−	32.4248i	0.752440	−	1.30326i	0.946637	−	0.322302i	$-0.104457\pi$
$620$	−20.9677			−0.842082
$621$	−26.1928	+	2.71664i	−1.05108	+	0.109015i
$622$	8.38102	+	9.98811i	0.336048	+	0.400487i
$623$	−3.50925	+	4.62475i	−0.140595	+	0.185287i
$624$	3.12788	+	6.61495i	0.125215	+	0.264810i
$625$	−14.1813	+	11.8995i	−0.567253	+	0.475982i
$626$	2.95137	+	5.11192i	0.117960	+	0.204313i
$627$	−2.04498	+	1.00731i	−0.0816686	+	0.0402281i
$628$	−3.36468	+	5.82779i	−0.134265	+	0.232554i
$629$	9.26043	+	3.37052i	0.369238	+	0.134392i
$630$	−7.53405	+	25.3098i	−0.300164	+	1.00836i
$631$	8.72541	+	7.32149i	0.347353	+	0.291464i	0.799726	−	0.600365i	$-0.204978\pi$
$631$	8.72541	+	7.32149i	0.347353	+	0.291464i	−0.452373	+	0.891829i	$0.649422\pi$
$632$	11.1265	−	1.96191i	0.442590	−	0.0780405i
$633$	3.84382	−	2.72230i	0.152778	−	0.108202i
$634$	−18.2091			−0.723174
$635$	−64.8365			−2.57296
$636$	−11.5824	−	16.3541i	−0.459273	−	0.648484i
$637$	29.4856	+	2.25960i	1.16826	+	0.0895288i
$638$	−0.598495	+	0.345541i	−0.0236946	+	0.0136801i
$639$	−36.6411	−	20.6342i	−1.44950	−	0.816277i
$640$	−1.13790	−	3.12636i	−0.0449796	−	0.123580i
$641$	−19.1235	−	6.96038i	−0.755332	−	0.274918i	−0.0644845	−	0.997919i	$-0.520540\pi$
$641$	−19.1235	−	6.96038i	−0.755332	−	0.274918i	−0.690848	+	0.723000i	$0.742763\pi$
$642$	8.43245	+	11.9064i	0.332802	+	0.469910i
$643$	−2.76062	−	15.6562i	−0.108868	−	0.617421i	−0.989605	−	0.143815i	$-0.954063\pi$
$643$	−2.76062	−	15.6562i	−0.108868	−	0.617421i	0.880737	−	0.473606i	$-0.157048\pi$
$644$	−2.97261	−	13.0746i	−0.117137	−	0.515212i
$645$	43.2484	−	11.8372i	1.70290	−	0.466090i
$646$	−17.5261	−	14.2346i	−0.689554	−	0.560052i
$647$	−10.3031	+	5.94848i	−0.405056	+	0.233859i	−0.688663	−	0.725081i	$-0.741802\pi$
$647$	−10.3031	+	5.94848i	−0.405056	+	0.233859i	0.283607	+	0.958940i	$0.408469\pi$
$648$	−8.52128	−	2.89616i	−0.334748	−	0.113772i
$649$	−0.952170	+	2.61607i	−0.0373760	+	0.102690i
$650$	16.4804	−	19.6405i	0.646413	−	0.770365i
$651$	−24.5231	−	15.2548i	−0.961135	−	0.597881i
$652$	−2.08366	+	11.8170i	−0.0816025	+	0.462791i
$653$	−39.4039	+	22.7499i	−1.54200	+	0.890271i	−0.543283	+	0.839550i	$0.682819\pi$
$653$	−39.4039	+	22.7499i	−1.54200	+	0.890271i	−0.998713	+	0.0507215i	$0.983848\pi$
$654$	1.89775	−	7.23746i	0.0742079	−	0.283007i
$655$	−10.6939	−	8.97329i	−0.417847	−	0.350615i
$656$	−0.980048	+	5.55813i	−0.0382645	+	0.217009i
$657$	−8.23862	−	4.63953i	−0.321419	−	0.181005i
$658$	5.67567	+	8.80392i	0.221261	+	0.343213i
$659$	1.57338	−	8.92306i	0.0612901	−	0.347593i	−0.938706	−	0.344719i	$-0.887974\pi$
$659$	1.57338	−	8.92306i	0.0612901	−	0.347593i	0.999996	−	0.00287390i	$-0.000914791\pi$
$660$	1.57297	−	0.743778i	0.0612277	−	0.0289515i
$661$	−0.767685	−	0.135364i	−0.0298595	−	0.00526503i	0.158698	−	0.987327i	$-0.449270\pi$
$661$	−0.767685	−	0.135364i	−0.0298595	−	0.00526503i	−0.188558	+	0.982062i	$0.560381\pi$
$662$	−17.7952	−	21.2074i	−0.691628	−	0.824251i
$663$	−31.1635	−	21.5729i	−1.21029	−	0.837823i
$664$		−	6.02990i		−	0.234005i
$665$	37.2732	−	9.10386i	1.44539	−	0.353033i
$666$	−2.90660	−	4.91200i	−0.112628	−	0.190336i
$667$	7.45587	+	8.88556i	0.288692	+	0.344050i
$668$	−15.3629	+	12.8910i	−0.594410	+	0.498769i
$669$	1.75763	+	18.9211i	0.0679540	+	0.731534i
$670$	−7.32308	−	41.5313i	−0.282915	−	1.60449i
$671$	−0.897036	−	0.158172i	−0.0346297	−	0.00610615i
$672$	0.943694	−	4.48436i	0.0364038	−	0.172988i
$673$	−23.0204	+	13.2908i	−0.887372	+	0.512324i	−0.873082	−	0.487574i	$-0.837882\pi$
$673$	−23.0204	+	13.2908i	−0.887372	+	0.512324i	−0.0142897	+	0.999898i	$0.504549\pi$
$674$	2.54371	+	0.448524i	0.0979799	+	0.0172765i
$675$	3.25329	+	31.3671i	0.125219	+	1.20732i
$676$	2.42354	−	4.19770i	0.0932131	−	0.161450i
$677$	−13.0977	−	22.6859i	−0.503385	−	0.871889i	−0.999992	−	0.00391350i	$-0.998754\pi$
$677$	−13.0977	−	22.6859i	−0.503385	−	0.871889i	0.496607	−	0.867976i	$-0.334579\pi$
$678$	18.6857	−	1.73576i	0.717619	−	0.0666615i
$679$	2.71208	+	0.839067i	0.104080	+	0.0322004i
$680$	13.2015	+	11.0774i	0.506256	+	0.424799i
$681$	−2.44443	+	29.7775i	−0.0936707	+	1.14108i
$682$	0.330438	+	1.87401i	0.0126531	+	0.0717594i
$683$	10.6073	+	18.3723i	0.405876	+	0.702997i	0.994423	−	0.105465i	$-0.0336332\pi$
$683$	10.6073	+	18.3723i	0.405876	+	0.702997i	−0.588547	+	0.808463i	$0.700300\pi$
$684$	2.61399	+	12.8128i	0.0999485	+	0.489908i
$685$	49.3161			1.88427
$686$	−13.8551	−	12.2896i	−0.528991	−	0.469221i
$687$	25.1109	−	11.8737i	0.958042	−	0.453010i
$688$	−7.31187	+	2.66130i	−0.278762	+	0.101461i
$689$	−16.7177	+	45.9316i	−0.636894	+	1.74985i
$690$	−16.8786	−	23.8322i	−0.642556	−	0.907275i
$691$	13.1779	+	22.8248i	0.501312	+	0.868297i	0.999999	+	0.00151527i	$0.000482325\pi$
$691$	13.1779	+	22.8248i	0.501312	+	0.868297i	−0.498687	+	0.866782i	$0.666184\pi$
$692$	−0.614354	−	1.06409i	−0.0233542	−	0.0404507i
$693$	2.38082	+	0.274496i	0.0904397	+	0.0104272i
$694$	−6.72969	−	18.4897i	−0.255455	−	0.701858i
$695$			60.2984i			2.28725i
$696$	1.04655	+	3.82367i	0.0396694	+	0.144936i
$697$	−9.99876	−	27.4714i	−0.378730	−	1.04055i
$698$	3.33068	+	18.8892i	0.126068	+	0.714967i
$699$	22.4227	+	10.3099i	0.848103	+	0.389956i
$700$	−15.6574	+	3.55983i	−0.591795	+	0.134549i
$701$	−4.17196	+	11.4624i	−0.157573	+	0.432927i	−0.993207	−	0.116358i	$-0.962878\pi$
$701$	−4.17196	+	11.4624i	−0.157573	+	0.432927i	0.835635	+	0.549286i	$0.185100\pi$
$702$	6.02171	+	21.1095i	0.227275	+	0.796726i
$703$	−4.03101	+	7.24726i	−0.152032	+	0.273336i
$704$	−0.261489	+	0.150971i	−0.00985524	+	0.00568993i
$705$	18.7585	+	12.9856i	0.706486	+	0.489064i
$706$	−32.9544	+	5.81075i	−1.24025	+	0.218690i
$707$	4.55808	−	1.91687i	0.171424	−	0.0720913i
$708$	13.1306	+	9.08968i	0.493480	+	0.341611i
$709$	−4.97706	−	4.17625i	−0.186918	−	0.156842i	0.544527	−	0.838743i	$-0.316709\pi$
$709$	−4.97706	−	4.17625i	−0.186918	−	0.156842i	−0.731445	+	0.681901i	$0.761154\pi$
$710$		−	46.6354i		−	1.75019i
$711$	33.8926	−	0.363361i	1.27107	−	0.0136271i
$712$	0.381027	−	2.16091i	0.0142796	−	0.0809836i
$713$	30.0128	−	10.9238i	1.12399	−	0.409098i
$714$	7.38084	+	22.5604i	0.276221	+	0.844301i
$715$	−3.67528	−	2.12193i	−0.137448	−	0.0793555i
$716$	16.7350	+	14.0423i	0.625415	+	0.524786i
$717$	42.8350	+	3.51632i	1.59970	+	0.131319i
$718$	−10.8355	−	1.91059i	−0.404378	−	0.0713027i
$719$	10.5183	−	28.8987i	0.392265	−	1.07774i	−0.573700	−	0.819065i	$-0.694493\pi$
$719$	10.5183	−	28.8987i	0.392265	−	1.07774i	0.965965	−	0.258673i	$-0.0832852\pi$
$720$	−1.83846	−	9.81024i	−0.0685154	−	0.365606i
$721$	42.3364	−	2.07717i	1.57669	−	0.0773579i
$722$	14.1567	−	12.6724i	0.526856	−	0.471617i
$723$	7.87756	−	30.0427i	0.292970	−	1.11730i
$724$	−26.1848	+	4.61709i	−0.973150	+	0.171593i
$725$	10.6408	−	8.92873i	0.395191	−	0.331605i
$726$	10.9203	+	15.4193i	0.405292	+	0.572263i
$727$	−23.7861	+	19.9589i	−0.882178	+	0.740235i	−0.966626	−	0.256193i	$-0.917532\pi$
$727$	−23.7861	+	19.9589i	−0.882178	+	0.740235i	0.0844481	+	0.996428i	$0.473087\pi$
$728$	−10.3032	+	4.33293i	−0.381861	+	0.160589i
$729$	−23.8047	−	12.7411i	−0.881656	−	0.471893i
$730$		−	10.4858i		−	0.388097i
$731$	25.9076	−	30.8755i	0.958227	−	1.14197i
$732$	−2.18281	+	4.74733i	−0.0806791	+	0.175466i
$733$	−2.92928			−0.108196			−0.0540978	−	0.998536i	$-0.517228\pi$
$733$	−2.92928			−0.108196			−0.0540978	+	0.998536i	$0.517228\pi$
$734$	−7.18921	+	12.4521i	−0.265358	+	0.459614i
$735$	−38.1229	−	13.1827i	−1.40618	−	0.486251i
$736$	3.25755	+	3.88220i	0.120075	+	0.143100i
$737$	−3.59649	+	1.30901i	−0.132478	+	0.0482182i
$738$	−5.62006	+	15.9717i	−0.206877	+	0.587926i
$739$	2.83202	+	16.0612i	0.104177	+	0.590819i	0.991546	+	0.129758i	$0.0414201\pi$
$739$	2.83202	+	16.0612i	0.104177	+	0.590819i	−0.887368	+	0.461061i	$0.847469\pi$
$740$	3.16484	−	5.48167i	0.116342	−	0.201510i
$741$	22.0663	−	23.0296i	0.810624	−	0.846015i
$742$	25.7288	−	16.5867i	0.944534	−	0.608918i
$743$	−46.6700	−	16.9865i	−1.71216	−	0.623175i	−0.715043	−	0.699080i	$-0.753593\pi$
$743$	−46.6700	−	16.9865i	−1.71216	−	0.623175i	−0.997115	+	0.0759059i	$0.975815\pi$
$744$	10.8792	+	0.893075i	0.398852	+	0.0327417i
$745$	1.24932	−	7.08527i	0.0457717	−	0.259584i
$746$	−6.65798	+	18.2927i	−0.243766	+	0.669742i
$747$	2.95008	−	17.8475i	0.107938	−	0.653007i
$748$	0.782006	−	1.35447i	0.0285930	−	0.0495245i
$749$	−18.7316	+	12.0758i	−0.684436	+	0.441239i
$750$	−5.02699	+	3.56024i	−0.183560	+	0.130002i
$751$	40.1067	+	7.07189i	1.46351	+	0.258057i	0.847969	−	0.530045i	$-0.177825\pi$
$751$	40.1067	+	7.07189i	1.46351	+	0.258057i	0.615545	+	0.788102i	$0.288936\pi$
$752$	−3.42870	−	1.97956i	−0.125032	−	0.0721871i
$753$	−15.9695	+	4.37090i	−0.581962	+	0.159284i
$754$	6.21524	−	7.40703i	0.226346	−	0.269748i
$755$	12.0806	−	10.1368i	0.439656	−	0.368916i
$756$	4.98712	−	12.8113i	0.181380	−	0.465941i
$757$	1.83818	+	10.4248i	0.0668098	+	0.378897i	0.999819	+	0.0190439i	$0.00606223\pi$
$757$	1.83818	+	10.4248i	0.0668098	+	0.378897i	−0.933009	+	0.359854i	$0.882827\pi$
$758$	−1.93588	−	2.30709i	−0.0703143	−	0.0837973i
$759$	−1.86403	+	1.88412i	−0.0676598	+	0.0683891i
$760$	−10.9587	+	9.49830i	−0.397513	+	0.344540i
$761$	−20.4787	−	11.8234i	−0.742352	−	0.428597i	0.0805718	−	0.996749i	$-0.474325\pi$
$761$	−20.4787	−	11.8234i	−0.742352	−	0.428597i	−0.822924	+	0.568152i	$0.807659\pi$
$762$	33.6409	+	2.76158i	1.21868	+	0.100041i
$763$	10.9185	+	3.37800i	0.395277	+	0.122292i
$764$	−8.12580	+	9.68396i	−0.293981	+	0.350353i
$765$	33.6549	+	39.2461i	1.21680	+	1.41895i
$766$	−17.0619	+	6.21001i	−0.616470	+	0.224377i
$767$		−	38.9515i		−	1.40646i
$768$	0.457249	+	1.67061i	0.0164996	+	0.0602828i
$769$	35.8002	−	13.0302i	1.29099	−	0.469881i	0.396936	−	0.917846i	$-0.370074\pi$
$769$	35.8002	−	13.0302i	1.29099	−	0.469881i	0.894051	+	0.447966i	$0.147851\pi$
$770$	1.03033	+	2.44999i	0.0371304	+	0.0882914i
$771$	−8.90625	+	9.00224i	−0.320751	+	0.324208i
$772$	12.1662	−	7.02414i	0.437870	−	0.252804i
$773$	7.16669	−	2.60846i	0.257768	−	0.0938198i	−0.209904	−	0.977722i	$-0.567315\pi$
$773$	7.16669	−	2.60846i	0.257768	−	0.0938198i	0.467672	+	0.883902i	$0.345093\pi$
$774$	−22.9440	+	4.29975i	−0.824704	+	0.154551i
$775$	−13.0817	−	35.9416i	−0.469908	−	1.29106i
$776$	−1.05670	+	0.186325i	−0.0379335	+	0.00668869i
$777$	7.68961	−	4.10863i	0.275863	−	0.147396i
$778$			3.12648i			0.112090i
$779$	24.1559	−	4.65899i	0.865474	−	0.166926i
$780$	−17.1215	+	17.3061i	−0.613049	+	0.619657i
$781$	−4.16808	+	0.734945i	−0.149146	+	0.0262984i
$782$	−24.6676	−	8.97827i	−0.882111	−	0.321062i
$783$	1.22691	+	11.8295i	0.0438464	+	0.422751i
$784$	6.78062	+	1.73873i	0.242165	+	0.0620974i
$785$	−22.0485	−	3.88774i	−0.786944	−	0.138759i
$786$	5.16644	+	5.11135i	0.184281	+	0.182316i
$787$	−1.68243	−	0.971351i	−0.0599721	−	0.0346249i	0.469714	−	0.882819i	$-0.344357\pi$
$787$	−1.68243	−	0.971351i	−0.0599721	−	0.0346249i	−0.529686	+	0.848194i	$0.677690\pi$
$788$	4.36321	−	5.19987i	0.155433	−	0.185238i
$789$	4.70280	+	50.6262i	0.167424	+	1.80234i
$790$	18.7946	+	32.5531i	0.668681	+	1.15819i
$791$	1.40475	+	28.6313i	0.0499471	+	1.01801i
$792$	−0.847827	+	0.318918i	−0.0301262	+	0.0113322i
$793$	12.5508	−	2.21304i	0.445691	−	0.0785873i
$794$	4.99822	−	28.3463i	0.177380	−	1.00597i
$795$	37.9493	−	54.8203i	1.34592	−	1.94428i
$796$	−9.50638	+	7.97680i	−0.336945	+	0.282730i
$797$	45.2165			1.60165			0.800826	−	0.598898i	$-0.204394\pi$
$797$	45.2165			1.60165			0.800826	+	0.598898i	$0.204394\pi$
$798$	−19.7273	+	3.13603i	−0.698338	+	0.111014i
$799$	20.5076			0.725508
$800$	4.64911	−	3.90106i	0.164371	−	0.137923i
$801$	2.18499	−	6.20954i	0.0772028	−	0.219403i
$802$	−2.95345	+	16.7498i	−0.104290	+	0.591458i
$803$	−0.937178	+	0.165250i	−0.0330723	+	0.00583154i
$804$	2.03070	+	21.8607i	0.0716173	+	0.770969i
$805$	37.4934	−	24.1711i	1.32147	−	0.851919i
$806$	−13.3122	−	23.0574i	−0.468902	−	0.812163i
$807$	−0.112012	+	0.0104051i	−0.00394301	+	0.000366276i
$808$	−1.20133	+	1.43169i	−0.0422626	+	0.0503666i
$809$	−26.5022	−	15.3010i	−0.931766	−	0.537956i	−0.0443965	−	0.999014i	$-0.514137\pi$
$809$	−26.5022	−	15.3010i	−0.931766	−	0.537956i	−0.887370	+	0.461058i	$0.847470\pi$
$810$	−0.641963	−	29.9362i	−0.0225563	−	1.05185i
$811$	30.9393	+	5.45543i	1.08643	+	0.191566i	0.688055	−	0.725659i	$-0.258465\pi$
$811$	30.9393	+	5.45543i	1.08643	+	0.191566i	0.398370	+	0.917225i	$0.369576\pi$
$812$	−5.90489	+	1.34252i	−0.207221	+	0.0471132i
$813$	9.75387	−	21.2134i	0.342083	−	0.743986i
$814$	−0.539805	−	0.196473i	−0.0189202	−	0.00688638i
$815$	−39.3154	+	6.93236i	−1.37716	+	0.242830i
$816$	−6.37791	−	6.30990i	−0.223271	−	0.220891i
$817$	22.2144	+	25.6299i	0.777184	+	0.896678i
$818$			1.88907i			0.0660499i
$819$	−32.6156	+	7.78403i	−1.13968	+	0.271996i
$820$	−18.4919	+	3.26063i	−0.645767	+	0.113866i
$821$	2.25861	+	6.20549i	0.0788262	+	0.216573i	0.972846	−	0.231455i	$-0.0743486\pi$
$821$	2.25861	+	6.20549i	0.0788262	+	0.216573i	−0.894019	+	0.448028i	$0.852126\pi$
$822$	−25.5880	−	2.10052i	−0.892485	−	0.0732639i
$823$	40.7409	−	14.8285i	1.42014	−	0.516889i	0.486052	−	0.873930i	$-0.338437\pi$
$823$	40.7409	−	14.8285i	1.42014	−	0.516889i	0.934089	+	0.357041i	$0.116214\pi$
$824$	−13.8745	+	8.01045i	−0.483342	+	0.279057i
$825$	2.25631	+	2.23225i	0.0785548	+	0.0777171i
$826$	−14.7458	+	19.4331i	−0.513072	+	0.676164i
$827$	25.6786	−	9.34624i	0.892932	−	0.325001i	0.145515	−	0.989356i	$-0.453516\pi$
$827$	25.6786	−	9.34624i	0.892932	−	0.325001i	0.747417	+	0.664355i	$0.231294\pi$
$828$	7.74249	+	13.0844i	0.269070	+	0.454715i
$829$			8.81594i			0.306190i	0.988211	+	0.153095i	$0.0489241\pi$
$829$			8.81594i			0.306190i	−0.988211	+	0.153095i	$0.951076\pi$
$830$	18.8517	−	6.86144i	0.654351	−	0.238164i
$831$	−36.3195	+	17.1737i	−1.25991	+	0.595747i
$832$	2.71551	−	3.23622i	0.0941433	−	0.112196i
$833$	−34.9202	+	9.76157i	−1.20991	+	0.338218i
$834$	2.56829	−	31.2863i	0.0889325	−	1.08336i
$835$	−57.7836	−	33.3614i	−1.99969	−	1.15452i
$836$	1.02162	+	0.829755i	0.0353335	+	0.0286977i
$837$	31.7639	+	7.96594i	1.09792	+	0.275343i
$838$	5.47376	+	6.52338i	0.189088	+	0.225346i
$839$	6.93362	+	39.3225i	0.239375	+	1.35756i	0.833201	+	0.552970i	$0.186506\pi$
$839$	6.93362	+	39.3225i	0.239375	+	1.35756i	−0.593826	+	0.804593i	$0.702383\pi$
$840$	15.0936	−	2.15243i	0.520777	−	0.0742659i
$841$	−18.2023	+	15.2735i	−0.627666	+	0.526674i
$842$	−20.7228	+	24.6964i	−0.714153	+	0.851095i
$843$	2.78555	+	10.1773i	0.0959394	+	0.350524i
$844$	−2.35509	−	1.35971i	−0.0810657	−	0.0468033i
$845$	15.8813	+	2.80030i	0.546333	+	0.0963332i
$846$	−9.17990	−	7.53664i	−0.315612	−	0.259115i
$847$	−24.2581	+	15.6386i	−0.833517	+	0.537348i
$848$	−5.78511	+	10.0201i	−0.198662	+	0.344092i
$849$	11.5407	−	25.0994i	0.396074	−	0.861409i
$850$	−10.7519	+	29.5405i	−0.368786	+	1.01323i
$851$	−1.67426	+	9.49519i	−0.0573928	+	0.325491i
$852$	−1.98634	+	24.1971i	−0.0680509	+	0.828980i
$853$	17.4252	+	6.34226i	0.596628	+	0.217155i	0.622642	−	0.782507i	$-0.286059\pi$
$853$	17.4252	+	6.34226i	0.596628	+	0.217155i	−0.0260144	+	0.999662i	$0.508282\pi$
$854$	−7.09944	−	3.64723i	−0.242938	−	0.124806i
$855$	−37.0829	+	22.7520i	−1.26821	+	0.778102i
$856$	4.21178	−	7.29502i	0.143956	−	0.249339i
$857$	3.64595	+	20.6772i	0.124543	+	0.706319i	0.981578	+	0.191061i	$0.0611929\pi$
$857$	3.64595	+	20.6772i	0.124543	+	0.706319i	−0.857035	+	0.515258i	$0.827696\pi$
$858$	1.81657	+	1.25752i	0.0620167	+	0.0429310i
$859$	−15.1098	+	5.49953i	−0.515540	+	0.187641i	−0.586671	−	0.809826i	$-0.699562\pi$
$859$	−15.1098	+	5.49953i	−0.515540	+	0.187641i	0.0711301	+	0.997467i	$0.477339\pi$
$860$	−16.6404	−	19.8313i	−0.567433	−	0.676240i
$861$	−23.9998	−	9.64006i	−0.817910	−	0.328532i
$862$	−16.9429	+	29.3460i	−0.577079	+	0.999530i
$863$	31.0381			1.05655			0.528274	−	0.849074i	$-0.322839\pi$
$863$	31.0381			1.05655			0.528274	+	0.849074i	$0.322839\pi$
$864$	0.536053	+	5.16843i	0.0182369	+	0.175833i
$865$	2.62766	−	3.13153i	0.0893432	−	0.106475i
$866$		−	8.47796i		−	0.288093i
$867$	16.4707	+	4.31882i	0.559375	+	0.146675i
$868$	−2.08727	+	16.5431i	−0.0708466	+	0.561508i
$869$	2.61328	−	2.19280i	0.0886493	−	0.0743856i
$870$	−10.7633	+	7.62287i	−0.364911	+	0.258439i
$871$	41.0211	−	34.4208i	1.38995	−	1.16630i
$872$	−4.25418	+	0.750127i	−0.144065	+	0.0254025i
$873$	−3.21883	+	0.0345090i	−0.108941	+	0.00116795i
$874$	10.7376	−	19.3050i	0.363206	−	0.653001i
$875$	−5.09848	−	7.90860i	−0.172360	−	0.267360i
$876$	−0.446621	+	5.44064i	−0.0150899	+	0.183822i
$877$	−6.87197	+	18.8806i	−0.232050	+	0.637552i	−0.999996	−	0.00296307i	$-0.999057\pi$
$877$	−6.87197	+	18.8806i	−0.232050	+	0.637552i	0.767946	+	0.640515i	$0.221279\pi$
$878$	6.35179	+	1.11999i	0.214362	+	0.0377979i
$879$	1.00710	−	12.2682i	0.0339685	−	0.413796i
$880$	−0.769539	−	0.645720i	−0.0259412	−	0.0217672i
$881$	−23.6938	−	13.6796i	−0.798265	−	0.460878i	0.0445991	−	0.999005i	$-0.485799\pi$
$881$	−23.6938	−	13.6796i	−0.798265	−	0.460878i	−0.842864	+	0.538126i	$0.819132\pi$
$882$	19.2189	+	8.46372i	0.647133	+	0.284988i
$883$	−9.36632	+	3.40906i	−0.315202	+	0.114724i	−0.494776	−	0.869020i	$-0.664750\pi$
$883$	−9.36632	+	3.40906i	−0.315202	+	0.114724i	0.179575	+	0.983744i	$0.442528\pi$
$884$	−3.79989	+	21.5502i	−0.127804	+	0.724813i
$885$	−13.4762	+	51.3943i	−0.452998	+	1.72760i
$886$			38.4812i			1.29280i
$887$	35.9004	+	30.1240i	1.20542	+	1.01146i	0.999459	+	0.0329039i	$0.0104755\pi$
$887$	35.9004	+	30.1240i	1.20542	+	1.01146i	0.205958	+	0.978561i	$0.433969\pi$
$888$	−1.87558	+	2.70941i	−0.0629405	+	0.0909217i
$889$	−6.45428	+	51.1546i	−0.216470	+	1.71567i
$890$	7.18937	−	1.26768i	0.240988	−	0.0424927i
$891$	−2.66546	+	0.529152i	−0.0892962	+	0.0177273i
$892$	9.50130	−	5.48558i	0.318127	−	0.183671i
$893$	−2.72443	+	17.0410i	−0.0911696	+	0.570255i
$894$	−0.950004	+	3.62304i	−0.0317729	+	0.121172i
$895$	−24.8586	+	68.2984i	−0.830931	+	2.28296i
$896$	−2.57991	+	0.586562i	−0.0861888	+	0.0195957i
$897$	15.4913	−	33.6916i	0.517241	−	1.12493i
$898$	2.28854	+	12.9790i	0.0763697	+	0.433114i
$899$	−4.93350	−	13.5547i	−0.164541	−	0.452074i
$900$	15.6692	−	9.27198i	0.522306	−	0.309066i
$901$		−	59.9320i		−	1.99663i
$902$	0.582843	+	1.60135i	0.0194066	+	0.0533191i
$903$	−5.03406	−	35.3005i	−0.167523	−	1.17473i
$904$	−5.41731	−	9.38306i	−0.180177	−	0.312076i
$905$	−44.2305	−	76.6094i	−1.47027	−	2.54658i
$906$	−6.69985	+	4.74501i	−0.222588	+	0.157642i
$907$	−0.652880	+	1.79377i	−0.0216785	+	0.0595613i	−0.950060	−	0.312068i	$-0.898978\pi$
$907$	−0.652880	+	1.79377i	−0.0216785	+	0.0595613i	0.928381	+	0.371629i	$0.121201\pi$
$908$	16.2096	−	5.89980i	0.537934	−	0.195792i
$909$	−4.25618	+	3.64983i	−0.141169	+	0.121057i
$910$	−25.2703	−	27.2810i	−0.837703	−	0.904356i
$911$	−3.15220			−0.104437			−0.0522185	−	0.998636i	$-0.516629\pi$
$911$	−3.15220			−0.104437			−0.0522185	+	0.998636i	$0.516629\pi$
$912$	6.09056	−	4.46151i	0.201679	−	0.147735i
$913$	−0.910338	−	1.57675i	−0.0301278	−	0.0521829i
$914$	3.40710	+	19.3226i	0.112697	+	0.639135i
$915$	−17.3257	−	1.42227i	−0.572771	−	0.0470187i
$916$	−12.2850	−	10.3083i	−0.405906	−	0.340596i
$917$	−8.14429	+	7.54404i	−0.268948	+	0.249126i
$918$	−15.7905	−	21.7966i	−0.521164	−	0.719396i
$919$	−10.3590	−	17.9422i	−0.341711	−	0.591860i	0.643040	−	0.765833i	$-0.277673\pi$
$919$	−10.3590	−	17.9422i	−0.341711	−	0.591860i	−0.984751	+	0.173973i	$0.944340\pi$
$920$	−8.43039	+	14.6019i	−0.277942	+	0.481409i
$921$	−24.2428	−	11.1468i	−0.798828	−	0.367300i
$922$	27.8637	+	4.91312i	0.917642	+	0.161805i
$923$	51.2833	−	29.6084i	1.68801	−	0.974574i
$924$	−0.430241	−	1.31508i	−0.0141539	−	0.0432630i
$925$	11.3709	+	2.00500i	0.373873	+	0.0659239i
$926$	−3.98181	−	22.5819i	−0.130850	−	0.742089i
$927$	−44.9854	+	16.9217i	−1.47751	+	0.555780i
$928$	1.75332	−	1.47121i	0.0575555	−	0.0482948i
$929$	12.3199	+	14.6823i	0.404202	+	0.481709i	0.929296	−	0.369335i	$-0.120414\pi$
$929$	12.3199	+	14.6823i	0.404202	+	0.481709i	−0.525094	+	0.851044i	$0.675970\pi$
$930$	9.58745	+	35.0287i	0.314385	+	1.14864i
$931$	−3.47232	−	30.3141i	−0.113801	−	0.993504i
$932$		−	14.2486i		−	0.466729i
$933$	12.8540	−	18.5684i	0.420821	−	0.607903i
$934$	2.83547	+	3.37918i	0.0927793	+	0.110570i
$935$	5.12443	+	0.903575i	0.167587	+	0.0295500i
$936$	9.62076	−	8.25014i	0.314464	−	0.269664i
$937$	6.09215	−	34.5503i	0.199022	−	1.12871i	−0.707552	−	0.706661i	$-0.750201\pi$
$937$	6.09215	−	34.5503i	0.199022	−	1.12871i	0.906574	−	0.422047i	$-0.138688\pi$
$938$	−33.4963	+	1.64344i	−1.09369	+	0.0536604i
$939$	7.19049	−	7.26799i	0.234653	−	0.237182i
$940$	2.28730	−	12.9719i	0.0746034	−	0.423097i
$941$	16.1034	+	13.5124i	0.524957	+	0.440491i	0.866356	−	0.499428i	$-0.166456\pi$
$941$	16.1034	+	13.5124i	0.524957	+	0.440491i	−0.341399	+	0.939918i	$0.610901\pi$
$942$	11.2744	+	2.95630i	0.367341	+	0.0963213i
$943$	24.7703	−	14.3012i	0.806633	−	0.465710i
$944$	1.60107	−	9.08012i	0.0521104	−	0.295533i
$945$	45.7276	+	1.01356i	1.48752	+	0.0329710i
$946$	−1.51019	+	1.79978i	−0.0491007	+	0.0585159i
$947$	18.0723	−	49.6532i	0.587270	−	1.61351i	−0.188203	−	0.982130i	$-0.560266\pi$
$947$	18.0723	−	49.6532i	0.587270	−	1.61351i	0.775473	−	0.631381i	$-0.217511\pi$
$948$	−8.36517	−	17.6910i	−0.271688	−	0.574576i
$949$	11.5309	−	6.65735i	0.374308	−	0.216107i
$950$	−23.1186	−	12.8588i	−0.750065	−	0.417195i
$951$	8.32608	+	30.4202i	0.269992	+	0.986441i
$952$	10.0540	−	9.31302i	0.325853	−	0.301837i
$953$	4.20235	+	23.8327i	0.136127	+	0.772017i	0.974068	+	0.226256i	$0.0726485\pi$
$953$	4.20235	+	23.8327i	0.136127	+	0.772017i	−0.837940	+	0.545762i	$0.816240\pi$
$954$	−22.0253	+	26.8276i	−0.713094	+	0.868575i
$955$	−39.5220	−	14.3848i	−1.27890	−	0.465482i
$956$	−8.48688	−	23.3175i	−0.274485	−	0.754142i
$957$	0.850924	+	0.841850i	0.0275065	+	0.0272132i
$958$	14.9690	−	8.64238i	0.483628	−	0.279222i
$959$	4.90927	−	38.9094i	0.158529	−	1.25645i
$960$	−4.70262	+	3.33052i	−0.151776	+	0.107492i
$961$	−8.71850			−0.281242
$962$	8.03733			0.259134
$963$	16.0352	−	19.5315i	0.516728	−	0.629394i
$964$	−17.6591	+	3.11378i	−0.568762	+	0.100288i
$965$	35.8039	+	30.0431i	1.15257	+	0.967121i
$966$	−20.4833	+	10.9444i	−0.659039	+	0.352131i
$967$	−27.1361	−	9.87674i	−0.872639	−	0.317614i	−0.133403	−	0.991062i	$-0.542591\pi$
$967$	−27.1361	−	9.87674i	−0.872639	−	0.317614i	−0.739235	+	0.673447i	$0.764813\pi$
$968$	5.45442	−	9.44733i	0.175312	−	0.303649i
$969$	−15.7666	+	35.7879i	−0.506495	+	1.14967i
$970$	−1.78495	−	3.09162i	−0.0573112	−	0.0992660i
$971$	23.7530	−	19.9312i	0.762271	−	0.639621i	−0.176446	−	0.984310i	$-0.556460\pi$
$971$	23.7530	−	19.9312i	0.762271	−	0.639621i	0.938717	+	0.344689i	$0.112016\pi$
$972$	−0.941983	+	15.5600i	−0.0302141	+	0.499086i
$973$	47.5742	+	6.00253i	1.52516	+	0.192432i
$974$	6.48614	+	7.72988i	0.207829	+	0.247681i
$975$	−40.3472	−	18.5516i	−1.29214	−	0.594126i
$976$	3.01672			0.0965629
$977$	−13.0676	+	22.6337i	−0.418069	+	0.724116i	−0.995745	−	0.0921497i	$-0.970626\pi$
$977$	−13.0676	+	22.6337i	−0.418069	+	0.724116i	0.577677	+	0.816266i	$0.303960\pi$
$978$	20.6944	−	1.92235i	0.661733	−	0.0614700i
$979$	−0.226600	−	0.622579i	−0.00724218	−	0.0198977i
$980$	2.27979	+	23.1772i	0.0728254	+	0.740368i
$981$	−12.9587	+	0.138929i	−0.413739	+	0.00443568i
$982$	15.0516	−	17.9378i	0.480315	−	0.572418i
$983$	43.7449	+	15.9218i	1.39525	+	0.507828i	0.926764	−	0.375645i	$-0.122579\pi$
$983$	43.7449	+	15.9218i	1.39525	+	0.507828i	0.468483	+	0.883473i	$0.344801\pi$
$984$	9.73357	−	0.904176i	0.310295	−	0.0288241i
$985$	21.2216	+	7.72403i	0.676176	+	0.246108i
$986$	−4.05486	+	11.1406i	−0.129133	+	0.354790i
$987$	12.1127	−	13.5074i	0.385551	−	0.429945i
$988$	−17.4025	−	6.02049i	−0.553648	−	0.191537i
$989$	34.1505	+	19.7168i	1.08592	+	0.626958i
$990$	−1.96180	−	2.28772i	−0.0623500	−	0.0727084i
$991$	27.3053	+	32.5412i	0.867382	+	1.03371i	0.999100	+	0.0424179i	$0.0135061\pi$
$991$	27.3053	+	32.5412i	0.867382	+	1.03371i	−0.131718	+	0.991287i	$0.542049\pi$
$992$	−2.15550	−	5.92219i	−0.0684372	−	0.188030i
$993$	−27.2925	+	39.4258i	−0.866100	+	1.25114i
$994$	−36.7944	−	4.64242i	−1.16705	−	0.147249i
$995$	−35.7557	−	20.6436i	−1.13353	−	0.654446i
$996$	−10.0736	+	2.75717i	−0.319194	+	0.0873641i
$997$	29.0159	+	24.3472i	0.918942	+	0.771084i	0.973799	−	0.227410i	$-0.0730258\pi$
$997$	29.0159	+	24.3472i	0.918942	+	0.771084i	−0.0548568	+	0.998494i	$0.517470\pi$
$998$	−26.3867	−	22.1411i	−0.835256	−	0.700863i
$999$	−6.87698	+	7.10179i	−0.217578	+	0.224691i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.cc.b.737.22	yes	162
3.2	odd	2		798.2.cc.a.737.19	yes	162
7.4	even	3		798.2.bu.b.53.15	yes	162
19.14	odd	18		798.2.bu.a.527.19	yes	162
21.11	odd	6		798.2.bu.a.53.19	✓	162
57.14	even	18		798.2.bu.b.527.15	yes	162
133.109	odd	18		798.2.cc.a.641.19	yes	162
399.242	even	18	inner	798.2.cc.b.641.22	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bu.a.53.19	✓	162	21.11	odd	6
798.2.bu.a.527.19	yes	162	19.14	odd	18
798.2.bu.b.53.15	yes	162	7.4	even	3
798.2.bu.b.527.15	yes	162	57.14	even	18
798.2.cc.a.641.19	yes	162	133.109	odd	18
798.2.cc.a.737.19	yes	162	3.2	odd	2
798.2.cc.b.641.22	yes	162	399.242	even	18	inner
798.2.cc.b.737.22	yes	162	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.cc (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 + 0.642788i) q^{2} +(1.42412 + 0.985844i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.27646 - 0.577729i) q^{5} +(-1.72463 + 0.160205i) q^{6} +(-0.129654 - 2.64257i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.05622 + 2.80792i) q^{9} +(-2.13856 + 2.54864i) q^{10} +(0.261489 + 0.150971i) q^{11} +(1.21816 - 1.23129i) q^{12} +(-4.16040 - 0.733591i) q^{13} +(1.79793 + 1.94099i) q^{14} +(5.23562 + 2.40733i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(5.10116 - 0.899471i) q^{17} +(-2.61401 - 1.47206i) q^{18} +(0.0697367 + 4.35834i) q^{19} -3.32701i q^{20} +(2.42052 - 3.89115i) q^{21} +(-0.297354 + 0.0524316i) q^{22} +(1.73331 + 4.76222i) q^{23} +(-0.141707 + 1.72624i) q^{24} +(5.70297 - 2.07571i) q^{25} +(3.65859 - 2.11229i) q^{26} +(-1.26398 + 5.04007i) q^{27} +(-2.62494 - 0.331194i) q^{28} +(2.15076 - 0.782814i) q^{29} +(-5.55812 + 1.52127i) q^{30} -6.30226i q^{31} +(0.939693 - 0.342020i) q^{32} +(0.223558 + 0.472788i) q^{33} +(-3.32954 + 3.96800i) q^{34} +(-1.95150 - 8.58339i) q^{35} +(2.94867 - 0.552587i) q^{36} +(1.64763 + 0.951258i) q^{37} +(-2.85491 - 3.29386i) q^{38} +(-5.20169 - 5.14623i) q^{39} +(2.13856 + 2.54864i) q^{40} +(-0.980048 - 5.55813i) q^{41} +(0.646957 + 4.53668i) q^{42} +(5.96069 - 5.00161i) q^{43} +(0.194084 - 0.231301i) q^{44} +(5.08289 + 8.58982i) q^{45} +(-4.38889 - 2.53393i) q^{46} +(3.89897 + 0.687494i) q^{47} +(-1.00105 - 1.41347i) q^{48} +(-6.96638 + 0.685239i) q^{49} +(-3.03449 + 5.25589i) q^{50} +(8.15139 + 3.74799i) q^{51} +(-1.44489 + 3.96981i) q^{52} +(2.00915 - 11.3944i) q^{53} +(-2.27143 - 4.67339i) q^{54} +(0.943979 + 0.343580i) q^{55} +(2.22371 - 1.43357i) q^{56} +(-4.19733 + 6.27554i) q^{57} +(-1.14440 + 1.98215i) q^{58} +(1.60107 + 9.08012i) q^{59} +(3.27991 - 4.73805i) q^{60} +(-2.83479 + 1.03178i) q^{61} +(4.05102 + 4.82781i) q^{62} +(7.28318 - 3.15520i) q^{63} +(-0.500000 + 0.866025i) q^{64} -14.0552 q^{65} +(-0.475157 - 0.218476i) q^{66} +(-8.14775 + 9.71011i) q^{67} -5.17985i q^{68} +(-2.22638 + 8.49074i) q^{69} +(7.01223 + 5.32086i) q^{70} +(-10.7378 + 9.01009i) q^{71} +(-1.90362 + 2.31867i) q^{72} +(-2.41436 + 2.02589i) q^{73} +(-1.87361 + 0.330368i) q^{74} +(10.1680 + 2.66618i) q^{75} +(4.30424 + 0.688141i) q^{76} +(0.365048 - 0.710578i) q^{77} +(7.29266 + 0.598653i) q^{78} +(3.86421 - 10.6168i) q^{79} +(-3.27646 - 0.577729i) q^{80} +(-6.76879 + 5.93157i) q^{81} +(4.32346 + 3.62781i) q^{82} +(-5.22205 - 3.01495i) q^{83} +(-3.41172 - 3.05944i) q^{84} +(16.1941 - 5.89417i) q^{85} +(-1.35118 + 7.66292i) q^{86} +(3.83467 + 1.00550i) q^{87} +0.301942i q^{88} +(-1.68089 - 1.41044i) q^{89} +(-9.41515 - 3.31297i) q^{90} +(-1.39916 + 11.0893i) q^{91} +(4.99086 - 0.880023i) q^{92} +(6.21305 - 8.97516i) q^{93} +(-3.42870 + 1.97956i) q^{94} +(2.74643 + 14.2397i) q^{95} +(1.67541 + 0.439313i) q^{96} +(-0.366989 + 1.00830i) q^{97} +(4.89609 - 5.00283i) q^{98} +(-0.147723 + 0.893698i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) \) 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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