LMFDB - Embedded newform 336.2.bo.a.101.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))

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

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

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			101.19
Character	$\chi$	$=$	336.101
Dual form			336.2.bo.a.173.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.838934 + 1.13850i) q^{2} +(-1.71114 - 0.268319i) q^{3} +(-0.592381 - 1.91026i) q^{4} +(0.392666 - 1.46545i) q^{5} +(1.74102 - 1.72304i) q^{6} +(-2.54285 - 0.730693i) q^{7} +(2.67180 + 0.928152i) q^{8} +(2.85601 + 0.918264i) q^{9} +O(q^{10})$	\(q+(-0.838934 + 1.13850i) q^{2} +(-1.71114 - 0.268319i) q^{3} +(-0.592381 - 1.91026i) q^{4} +(0.392666 - 1.46545i) q^{5} +(1.74102 - 1.72304i) q^{6} +(-2.54285 - 0.730693i) q^{7} +(2.67180 + 0.928152i) q^{8} +(2.85601 + 0.918264i) q^{9} +(1.33900 + 1.67647i) q^{10} +(1.37257 + 5.12252i) q^{11} +(0.501088 + 3.42767i) q^{12} +(-3.27144 - 3.27144i) q^{13} +(2.96518 - 2.28204i) q^{14} +(-1.06511 + 2.40223i) q^{15} +(-3.29817 + 2.26320i) q^{16} +(-1.26697 + 2.19446i) q^{17} +(-3.44145 + 2.48121i) q^{18} +(-1.71242 + 6.39086i) q^{19} +(-3.03199 + 0.118010i) q^{20} +(4.15512 + 1.93261i) q^{21} +(-6.98350 - 2.73477i) q^{22} +(2.22914 + 3.86099i) q^{23} +(-4.32279 - 2.30510i) q^{24} +(2.33677 + 1.34914i) q^{25} +(6.46908 - 0.980026i) q^{26} +(-4.64065 - 2.33760i) q^{27} +(0.110524 + 5.29035i) q^{28} +(-4.58306 - 4.58306i) q^{29} +(-1.84139 - 3.22795i) q^{30} +(-2.15304 - 1.24306i) q^{31} +(0.190286 - 5.65365i) q^{32} +(-0.974200 - 9.13364i) q^{33} +(-1.43550 - 3.28347i) q^{34} +(-2.06928 + 3.43950i) q^{35} +(0.0622757 - 5.99968i) q^{36} +(-1.82889 + 6.82551i) q^{37} +(-5.83940 - 7.31111i) q^{38} +(4.72011 + 6.47569i) q^{39} +(2.40928 - 3.55094i) q^{40} +8.27735i q^{41} +(-5.68616 + 3.10928i) q^{42} +(-4.61396 - 4.61396i) q^{43} +(8.97224 - 5.65645i) q^{44} +(2.46712 - 3.82476i) q^{45} +(-6.26585 - 0.701226i) q^{46} +(2.02596 + 3.50907i) q^{47} +(6.25090 - 2.98769i) q^{48} +(5.93218 + 3.71608i) q^{49} +(-3.49640 + 1.52859i) q^{50} +(2.75679 - 3.41509i) q^{51} +(-4.31136 + 8.18724i) q^{52} +(2.05076 + 7.65355i) q^{53} +(6.55456 - 3.32230i) q^{54} +8.04575 q^{55} +(-6.11580 - 4.31242i) q^{56} +(4.64499 - 10.4762i) q^{57} +(9.06272 - 1.37295i) q^{58} +(-2.77315 + 0.743064i) q^{59} +(5.21983 + 0.611609i) q^{60} +(-1.31533 + 4.90888i) q^{61} +(3.22148 - 1.40840i) q^{62} +(-6.59144 - 4.42187i) q^{63} +(6.27707 + 4.95968i) q^{64} +(-6.07872 + 3.50955i) q^{65} +(11.2160 + 6.55339i) q^{66} +(-1.50620 - 5.62122i) q^{67} +(4.94253 + 1.12029i) q^{68} +(-2.77840 - 7.20481i) q^{69} +(-2.17989 - 5.24140i) q^{70} -0.414318 q^{71} +(6.77841 + 5.10423i) q^{72} +(4.33404 - 7.50678i) q^{73} +(-6.23655 - 7.80835i) q^{74} +(-3.63655 - 2.93557i) q^{75} +(13.2226 - 0.514646i) q^{76} +(0.252735 - 14.0287i) q^{77} +(-11.3325 - 0.0588130i) q^{78} +(3.52178 + 6.09991i) q^{79} +(2.02152 + 5.72198i) q^{80} +(7.31358 + 5.24514i) q^{81} +(-9.42379 - 6.94415i) q^{82} +(1.44392 - 1.44392i) q^{83} +(1.23038 - 9.08219i) q^{84} +(2.71838 + 2.71838i) q^{85} +(9.12382 - 1.38220i) q^{86} +(6.61255 + 9.07199i) q^{87} +(-1.08723 + 14.9603i) q^{88} +(2.58456 - 1.49220i) q^{89} +(2.28475 + 6.01755i) q^{90} +(5.92837 + 10.7092i) q^{91} +(6.05498 - 6.54541i) q^{92} +(3.35061 + 2.70474i) q^{93} +(-5.69473 - 0.637311i) q^{94} +(8.69306 + 5.01894i) q^{95} +(-1.84259 + 9.62314i) q^{96} -2.84803i q^{97} +(-9.20748 + 3.63625i) q^{98} +(-0.783736 + 15.8903i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.838934	+	1.13850i	−0.593216	+	0.805044i
$2$	−0.838934	+	1.13850i	−0.593216	+	0.805044i
$3$	−1.71114	−	0.268319i	−0.987928	−	0.154914i
$3$	−1.71114	−	0.268319i	−0.987928	−	0.154914i
$4$	−0.592381	−	1.91026i	−0.296190	−	0.955129i
$5$	0.392666	−	1.46545i	0.175605	−	0.655368i	−0.820842	−	0.571155i	$-0.806496\pi$
$5$	0.392666	−	1.46545i	0.175605	−	0.655368i	0.996448	−	0.0842135i	$-0.0268378\pi$
$6$	1.74102	−	1.72304i	0.710767	−	0.703428i
$7$	−2.54285	−	0.730693i	−0.961107	−	0.276176i
$7$	−2.54285	−	0.730693i	−0.961107	−	0.276176i
$8$	2.67180	+	0.928152i	0.944625	+	0.328151i
$9$	2.85601	+	0.918264i	0.952003	+	0.306088i
$10$	1.33900	+	1.67647i	0.423428	+	0.530145i
$11$	1.37257	+	5.12252i	0.413847	+	1.54450i	0.787134	+	0.616782i	$0.211564\pi$
$11$	1.37257	+	5.12252i	0.413847	+	1.54450i	−0.373288	+	0.927716i	$0.621770\pi$
$12$	0.501088	+	3.42767i	0.144652	+	0.989483i
$13$	−3.27144	−	3.27144i	−0.907335	−	0.907335i	0.0887212	−	0.996057i	$-0.471722\pi$
$13$	−3.27144	−	3.27144i	−0.907335	−	0.907335i	−0.996057	+	0.0887212i	$0.971722\pi$
$14$	2.96518	−	2.28204i	0.792477	−	0.609901i
$15$	−1.06511	+	2.40223i	−0.275011	+	0.620253i
$16$	−3.29817	+	2.26320i	−0.824543	+	0.565800i
$17$	−1.26697	+	2.19446i	−0.307287	+	0.532236i	−0.977768	−	0.209691i	$-0.932754\pi$
$17$	−1.26697	+	2.19446i	−0.307287	+	0.532236i	0.670481	+	0.741926i	$0.266088\pi$
$18$	−3.44145	+	2.48121i	−0.811157	+	0.584828i
$19$	−1.71242	+	6.39086i	−0.392857	+	1.46616i	0.432542	+	0.901614i	$0.357617\pi$
$19$	−1.71242	+	6.39086i	−0.392857	+	1.46616i	−0.825399	+	0.564549i	$0.809050\pi$
$20$	−3.03199	+	0.118010i	−0.677974	+	0.0263879i
$21$	4.15512	+	1.93261i	0.906721	+	0.421731i
$22$	−6.98350	−	2.73477i	−1.48889	−	0.583055i
$23$	2.22914	+	3.86099i	0.464808	+	0.805071i	0.999193	−	0.0401702i	$-0.0127900\pi$
$23$	2.22914	+	3.86099i	0.464808	+	0.805071i	−0.534385	+	0.845241i	$0.679457\pi$
$24$	−4.32279	−	2.30510i	−0.882386	−	0.470526i
$25$	2.33677	+	1.34914i	0.467355	+	0.269828i
$26$	6.46908	−	0.980026i	1.26869	−	0.192199i
$27$	−4.64065	−	2.33760i	−0.893093	−	0.449871i
$28$	0.110524	+	5.29035i	0.0208870	+	0.999782i
$29$	−4.58306	−	4.58306i	−0.851053	−	0.851053i	0.139210	−	0.990263i	$-0.455544\pi$
$29$	−4.58306	−	4.58306i	−0.851053	−	0.851053i	−0.990263	+	0.139210i	$0.955544\pi$
$30$	−1.84139	−	3.22795i	−0.336190	−	0.589340i
$31$	−2.15304	−	1.24306i	−0.386697	−	0.223259i	0.294031	−	0.955796i	$-0.405003\pi$
$31$	−2.15304	−	1.24306i	−0.386697	−	0.223259i	−0.680728	+	0.732536i	$0.738336\pi$
$32$	0.190286	−	5.65365i	0.0336381	−	0.999434i
$33$	−0.974200	−	9.13364i	−0.169586	−	1.58996i
$34$	−1.43550	−	3.28347i	−0.246186	−	0.563110i
$35$	−2.06928	+	3.43950i	−0.349773	+	0.581381i
$36$	0.0622757	−	5.99968i	0.0103793	−	0.999946i
$37$	−1.82889	+	6.82551i	−0.300668	+	1.12211i	0.635943	+	0.771736i	$0.280611\pi$
$37$	−1.82889	+	6.82551i	−0.300668	+	1.12211i	−0.936611	+	0.350371i	$0.886056\pi$
$38$	−5.83940	−	7.31111i	−0.947276	−	1.18602i
$39$	4.72011	+	6.47569i	0.755823	+	1.03694i
$40$	2.40928	−	3.55094i	0.380941	−	0.561452i
$41$			8.27735i			1.29271i	0.763039	+	0.646353i	$0.223706\pi$
$41$			8.27735i			1.29271i	−0.763039	+	0.646353i	$0.776294\pi$
$42$	−5.68616	+	3.10928i	−0.877393	+	0.479773i
$43$	−4.61396	−	4.61396i	−0.703622	−	0.703622i	0.261564	−	0.965186i	$-0.415762\pi$
$43$	−4.61396	−	4.61396i	−0.703622	−	0.703622i	−0.965186	+	0.261564i	$0.915762\pi$
$44$	8.97224	−	5.65645i	1.35262	−	0.852742i
$45$	2.46712	−	3.82476i	0.367777	−	0.570162i
$46$	−6.26585	−	0.701226i	−0.923849	−	0.103390i
$47$	2.02596	+	3.50907i	0.295517	+	0.511850i	0.975105	−	0.221744i	$-0.0711749\pi$
$47$	2.02596	+	3.50907i	0.295517	+	0.511850i	−0.679588	+	0.733594i	$0.737842\pi$
$48$	6.25090	−	2.98769i	0.902239	−	0.431236i
$49$	5.93218	+	3.71608i	0.847454	+	0.530869i
$50$	−3.49640	+	1.52859i	−0.494465	+	0.216175i
$51$	2.75679	−	3.41509i	0.386028	−	0.478208i
$52$	−4.31136	+	8.18724i	−0.597878	+	1.13537i
$53$	2.05076	+	7.65355i	0.281694	+	1.05130i	0.951222	+	0.308509i	$0.0998299\pi$
$53$	2.05076	+	7.65355i	0.281694	+	1.05130i	−0.669528	+	0.742787i	$0.733503\pi$
$54$	6.55456	−	3.32230i	0.891963	−	0.452108i
$55$	8.04575			1.08489
$56$	−6.11580	−	4.31242i	−0.817258	−	0.576271i
$57$	4.64499	−	10.4762i	0.615244	−	1.38760i
$58$	9.06272	−	1.37295i	1.18999	−	0.180277i
$59$	−2.77315	+	0.743064i	−0.361034	+	0.0967387i	−0.434776	−	0.900539i	$-0.643172\pi$
$59$	−2.77315	+	0.743064i	−0.361034	+	0.0967387i	0.0737422	+	0.997277i	$0.476506\pi$
$60$	5.21983	+	0.611609i	0.673877	+	0.0789583i
$61$	−1.31533	+	4.90888i	−0.168411	+	0.628518i	0.829170	+	0.558997i	$0.188814\pi$
$61$	−1.31533	+	4.90888i	−0.168411	+	0.628518i	−0.997581	+	0.0695207i	$0.977853\pi$
$62$	3.22148	−	1.40840i	0.409128	−	0.178867i
$63$	−6.59144	−	4.42187i	−0.830443	−	0.557104i
$64$	6.27707	+	4.95968i	0.784633	+	0.619960i
$65$	−6.07872	+	3.50955i	−0.753972	+	0.435306i
$66$	11.2160	+	6.55339i	1.38059	+	0.806666i
$67$	−1.50620	−	5.62122i	−0.184012	−	0.686741i	−0.994840	−	0.101457i	$-0.967650\pi$
$67$	−1.50620	−	5.62122i	−0.184012	−	0.686741i	0.810828	−	0.585284i	$-0.199017\pi$
$68$	4.94253	+	1.12029i	0.599369	+	0.135855i
$69$	−2.77840	−	7.20481i	−0.334480	−	0.867358i
$70$	−2.17989	−	5.24140i	−0.260547	−	0.626467i
$71$	−0.414318			−0.0491705			−0.0245852	−	0.999698i	$-0.507827\pi$
$71$	−0.414318			−0.0491705			−0.0245852	+	0.999698i	$0.507827\pi$
$72$	6.77841	+	5.10423i	0.798843	+	0.601540i
$73$	4.33404	−	7.50678i	0.507261	−	0.878602i	−0.492703	−	0.870197i	$-0.663991\pi$
$73$	4.33404	−	7.50678i	0.507261	−	0.878602i	0.999965	−	0.00840504i	$-0.00267544\pi$
$74$	−6.23655	−	7.80835i	−0.724984	−	0.907702i
$75$	−3.63655	−	2.93557i	−0.419913	−	0.338970i
$76$	13.2226	−	0.514646i	1.51673	−	0.0590340i
$77$	0.252735	−	14.0287i	0.0288019	−	1.59872i
$78$	−11.3325	−	0.0588130i	−1.28315	−	0.00665926i
$79$	3.52178	+	6.09991i	0.396231	+	0.686293i	0.993258	−	0.115929i	$-0.0369845\pi$
$79$	3.52178	+	6.09991i	0.396231	+	0.686293i	−0.597026	+	0.802222i	$0.703651\pi$
$80$	2.02152	+	5.72198i	0.226013	+	0.639737i
$81$	7.31358	+	5.24514i	0.812620	+	0.582793i
$82$	−9.42379	−	6.94415i	−1.04068	−	0.766853i
$83$	1.44392	−	1.44392i	0.158491	−	0.158491i	−0.623407	−	0.781898i	$-0.714252\pi$
$83$	1.44392	−	1.44392i	0.158491	−	0.158491i	0.781898	+	0.623407i	$0.214252\pi$
$84$	1.23038	−	9.08219i	0.134245	−	0.990948i
$85$	2.71838	+	2.71838i	0.294849	+	0.294849i
$86$	9.12382	−	1.38220i	0.983846	−	0.149047i
$87$	6.61255	+	9.07199i	0.708939	+	0.972620i
$88$	−1.08723	+	14.9603i	−0.115899	+	1.59478i
$89$	2.58456	−	1.49220i	0.273963	−	0.158172i	−0.356724	−	0.934210i	$-0.616106\pi$
$89$	2.58456	−	1.49220i	0.273963	−	0.158172i	0.630687	+	0.776037i	$0.282773\pi$
$90$	2.28475	+	6.01755i	0.240834	+	0.634306i
$91$	5.92837	+	10.7092i	0.621462	+	1.12263i
$92$	6.05498	−	6.54541i	0.631275	−	0.682406i
$93$	3.35061	+	2.70474i	0.347442	+	0.280469i
$94$	−5.69473	−	0.637311i	−0.587367	−	0.0657336i
$95$	8.69306	+	5.01894i	0.891889	+	0.514932i
$96$	−1.84259	+	9.62314i	−0.188058	+	0.982158i
$97$		−	2.84803i		−	0.289173i	−0.989492	−	0.144587i	$-0.953815\pi$
$97$		−	2.84803i		−	0.289173i	0.989492	−	0.144587i	$-0.0461852\pi$
$98$	−9.20748	+	3.63625i	−0.930096	+	0.367317i
$99$	−0.783736	+	15.8903i	−0.0787684	+	1.59704i
$100$	1.19294	−	5.26305i	0.119294	−	0.526305i
$101$	−3.72546	+	0.998235i	−0.370698	+	0.0993281i	−0.439358	−	0.898312i	$-0.644794\pi$
$101$	−3.72546	+	0.998235i	−0.370698	+	0.0993281i	0.0686606	+	0.997640i	$0.478127\pi$
$102$	1.57532	+	6.00365i	0.155980	+	0.594450i
$103$	−7.06757	−	12.2414i	−0.696389	−	1.20618i	−0.969710	−	0.244258i	$-0.921456\pi$
$103$	−7.06757	−	12.2414i	−0.696389	−	1.20618i	0.273322	−	0.961923i	$-0.411878\pi$
$104$	−5.70426	−	11.7771i	−0.559348	−	1.15484i
$105$	4.46372	−	5.33024i	0.435614	−	0.520178i
$106$	−10.4340	−	4.08602i	−1.01344	−	0.396869i
$107$	−18.1186	−	4.85488i	−1.75160	−	0.469338i	−0.766630	−	0.642090i	$-0.778068\pi$
$107$	−18.1186	−	4.85488i	−1.75160	−	0.469338i	−0.984966	+	0.172751i	$0.944734\pi$
$108$	−1.71639	+	10.2496i	−0.165160	+	0.986267i
$109$	−3.45043	−	12.8772i	−0.330491	−	1.23341i	−0.908675	−	0.417504i	$-0.862905\pi$
$109$	−3.45043	−	12.8772i	−0.330491	−	1.23341i	0.578184	−	0.815906i	$-0.303762\pi$
$110$	−6.74985	+	9.16011i	−0.643573	+	0.873382i
$111$	4.96090	−	11.1887i	0.470868	−	1.06198i
$112$	10.0405	−	3.34503i	0.948734	−	0.316075i
$113$			11.8207i			1.11200i	0.831182	+	0.556001i	$0.187665\pi$
$113$			11.8207i			1.11200i	−0.831182	+	0.556001i	$0.812335\pi$
$114$	8.03033	+	14.0772i	0.752109	+	1.31845i
$115$	6.53338	−	1.75061i	0.609241	−	0.163246i
$116$	−6.03991	+	11.4697i	−0.560792	+	1.06494i
$117$	−6.33923	−	12.3473i	−0.586062	−	1.14151i
$118$	1.48051	−	3.78063i	0.136292	−	0.348035i
$119$	4.82521	−	4.65443i	0.442326	−	0.426671i
$120$	−5.07541	+	5.42970i	−0.463319	+	0.495661i
$121$	−14.8299	+	8.56207i	−1.34818	+	0.778370i
$122$	−4.48530	−	5.61573i	−0.406080	−	0.508425i
$123$	2.22097	−	14.1637i	0.200258	−	1.27710i
$124$	−1.09914	+	4.84921i	−0.0987057	+	0.435472i
$125$	8.25858	−	8.25858i	0.738669	−	0.738669i
$126$	10.5641	−	3.79472i	0.941124	−	0.338060i
$127$	−7.46766			−0.662647			−0.331324	−	0.943517i	$-0.607495\pi$
$127$	−7.46766			−0.662647			−0.331324	+	0.943517i	$0.607495\pi$
$128$	−10.9127	+	2.98562i	−0.964552	+	0.263894i
$129$	6.65712	+	9.13315i	0.586127	+	0.804129i
$130$	1.10401	−	9.86492i	0.0968278	−	0.865211i
$131$	−10.0010	−	2.67976i	−0.873790	−	0.234131i	−0.206064	−	0.978538i	$-0.566066\pi$
$131$	−10.0010	−	2.67976i	−0.873790	−	0.234131i	−0.667726	+	0.744407i	$0.732732\pi$
$132$	−16.8705	+	7.27156i	−1.46839	+	0.632908i
$133$	9.02419	−	14.9997i	0.782497	−	1.30064i
$134$	7.66338	+	3.00102i	0.662015	+	0.259248i
$135$	−5.24786	+	5.88274i	−0.451664	+	0.506305i
$136$	−5.42191	+	4.68723i	−0.464925	+	0.401927i
$137$	−2.30443	+	3.99140i	−0.196881	+	0.341008i	−0.947516	−	0.319710i	$-0.896415\pi$
$137$	−2.30443	+	3.99140i	−0.196881	+	0.341008i	0.750634	+	0.660718i	$0.229748\pi$
$138$	10.5336	+	2.88114i	0.896679	+	0.245259i
$139$	2.45429	−	2.45429i	0.208170	−	0.208170i	−0.595319	−	0.803489i	$-0.702974\pi$
$139$	2.45429	−	2.45429i	0.208170	−	0.208170i	0.803489	+	0.595319i	$0.202974\pi$
$140$	7.79613	+	1.91537i	0.658893	+	0.161878i
$141$	−2.52515	−	6.54811i	−0.212656	−	0.551450i
$142$	0.347585	−	0.471702i	0.0291687	−	0.0395844i
$143$	12.2677	−	21.2483i	1.02588	−	1.77687i
$144$	−11.4978	+	3.43513i	−0.958152	+	0.286261i
$145$	−8.51585	+	4.91663i	−0.707203	+	0.408304i
$146$	4.91052	+	11.2320i	0.406398	+	0.929568i
$147$	−9.15370	−	7.95046i	−0.754984	−	0.655743i
$148$	14.1219	−	0.549648i	1.16081	−	0.0451808i
$149$	10.3456	+	2.77210i	0.847546	+	0.227099i	0.656353	−	0.754454i	$-0.272098\pi$
$149$	10.3456	+	2.77210i	0.847546	+	0.227099i	0.191192	+	0.981553i	$0.438765\pi$
$150$	6.39298	−	1.67748i	0.521985	−	0.136966i
$151$	4.67275	+	2.69782i	0.380263	+	0.219545i	0.677933	−	0.735124i	$-0.262876\pi$
$151$	4.67275	+	2.69782i	0.380263	+	0.219545i	−0.297670	+	0.954669i	$0.596209\pi$
$152$	−10.5069	+	15.4857i	−0.852226	+	1.25606i
$153$	−5.63359	+	5.10400i	−0.455449	+	0.412634i
$154$	15.7597	+	12.0569i	1.26995	+	0.971574i
$155$	−2.66706	+	2.66706i	−0.214223	+	0.214223i
$156$	9.57414	−	12.8527i	0.766545	−	1.02904i
$157$	−16.5866	+	4.44436i	−1.32375	+	0.354698i	−0.850382	−	0.526165i	$-0.823629\pi$
$157$	−16.5866	+	4.44436i	−1.32375	+	0.354698i	−0.473370	+	0.880864i	$0.656963\pi$
$158$	−9.89930	−	1.10785i	−0.787546	−	0.0881362i
$159$	−1.45555	−	13.6466i	−0.115433	−	1.08224i
$160$	−8.21042	−	2.49885i	−0.649090	−	0.197551i
$161$	−2.84718	−	11.4467i	−0.224389	−	0.902128i
$162$	−12.1072	+	3.92622i	−0.951233	+	0.308473i
$163$	2.00549	+	0.537371i	0.157082	+	0.0420901i	0.336503	−	0.941682i	$-0.390756\pi$
$163$	2.00549	+	0.537371i	0.157082	+	0.0420901i	−0.179421	+	0.983772i	$0.557422\pi$
$164$	15.8119	−	4.90334i	1.23470	−	0.382887i
$165$	−13.7674	−	2.15883i	−1.07179	−	0.168064i
$166$	0.432555	+	2.85526i	0.0335728	+	0.221611i
$167$		−	8.36737i		−	0.647487i	−0.946145	−	0.323743i	$-0.895059\pi$
$167$		−	8.36737i		−	0.647487i	0.946145	−	0.323743i	$-0.104941\pi$
$168$	9.30790	+	9.02015i	0.718120	+	0.695919i
$169$			8.40469i			0.646515i
$170$	−5.37542	+	0.814344i	−0.412276	+	0.0624573i
$171$	−10.7592	+	16.6799i	−0.822776	+	1.27554i
$172$	−6.08063	+	11.5471i	−0.463644	+	0.880456i
$173$	9.15298	+	2.45253i	0.695889	+	0.186463i	0.589388	−	0.807850i	$-0.299369\pi$
$173$	9.15298	+	2.45253i	0.695889	+	0.186463i	0.106500	+	0.994313i	$0.466035\pi$
$174$	−15.8760	−	0.0823929i	−1.20356	−	0.00624619i
$175$	−4.95626	−	5.13812i	−0.374658	−	0.388405i
$176$	−16.1203	−	13.7885i	−1.21511	−	1.03935i
$177$	4.94464	−	0.527398i	0.371662	−	0.0396417i
$178$	−0.469403	+	4.19438i	−0.0351833	+	0.314382i
$179$	6.33170	−	1.69658i	0.473254	−	0.126808i	−0.0143058	−	0.999898i	$-0.504554\pi$
$179$	6.33170	−	1.69658i	0.473254	−	0.126808i	0.487560	+	0.873090i	$0.337887\pi$
$180$	−8.76776	−	2.44713i	−0.653510	−	0.182398i
$181$	−4.83089	+	4.83089i	−0.359077	+	0.359077i	−0.863473	−	0.504395i	$-0.831715\pi$
$181$	−4.83089	+	4.83089i	−0.359077	+	0.359077i	0.504395	+	0.863473i	$0.331715\pi$
$182$	−17.1660	−	2.23485i	−1.27243	−	0.165658i
$183$	3.56786	−	8.04686i	0.263744	−	0.594841i
$184$	2.37224	+	12.3848i	0.174884	+	0.913018i
$185$	9.28429	+	5.36029i	0.682594	+	0.394096i
$186$	−5.89030	+	1.54558i	−0.431898	+	0.113328i
$187$	−12.9802	−	3.47803i	−0.949206	−	0.254339i
$188$	5.50308	−	5.94881i	0.401353	−	0.433861i
$189$	10.0924	+	9.33506i	0.734115	+	0.679026i
$190$	−13.0070	+	5.68652i	−0.943625	+	0.412543i
$191$	−14.2235	+	8.21194i	−1.02918	+	0.594195i	−0.916749	−	0.399464i	$-0.869196\pi$
$191$	−14.2235	+	8.21194i	−1.02918	+	0.594195i	−0.112428	+	0.993660i	$0.535863\pi$
$192$	−9.41017	−	10.1710i	−0.679121	−	0.734027i
$193$	0.195310	−	0.338286i	0.0140587	−	0.0243504i	−0.858910	−	0.512126i	$-0.828858\pi$
$193$	0.195310	−	0.338286i	0.0140587	−	0.0243504i	0.872969	+	0.487775i	$0.162191\pi$
$194$	3.24249	+	2.38930i	0.232797	+	0.171542i
$195$	11.3432	−	4.37430i	0.812305	−	0.313250i
$196$	3.58457	−	13.5333i	0.256041	−	0.966666i
$197$	−3.53625	+	3.53625i	−0.251947	+	0.251947i	−0.821769	−	0.569821i	$-0.807012\pi$
$197$	−3.53625	+	3.53625i	−0.251947	+	0.251947i	0.569821	+	0.821769i	$0.307012\pi$
$198$	−17.4337	−	14.2232i	−1.23896	−	1.01080i
$199$	−0.814606	+	1.41094i	−0.0577459	+	0.100019i	−0.893453	−	0.449156i	$-0.851725\pi$
$199$	−0.814606	+	1.41094i	−0.0577459	+	0.100019i	0.835707	+	0.549175i	$0.185058\pi$
$200$	4.99120	+	5.77351i	0.352931	+	0.408249i
$201$	1.06904	+	10.0228i	0.0754045	+	0.706957i
$202$	1.98892	−	5.07891i	0.139940	−	0.357351i
$203$	8.30523	+	15.0029i	0.582913	+	1.05299i
$204$	−8.15676	−	3.24315i	−0.571088	−	0.227066i
$205$	12.1300	+	3.25023i	0.847198	+	0.227006i
$206$	19.8661	+	2.22326i	1.38414	+	0.154902i
$207$	2.82105	+	13.0740i	0.196076	+	0.908702i
$208$	18.1937	+	3.38585i	1.26151	+	0.234766i
$209$	−35.0877			−2.42707
$210$	2.32373	+	9.55368i	0.160353	+	0.659266i
$211$	13.1611	−	13.1611i	0.906046	−	0.906046i	−0.0899047	−	0.995950i	$-0.528656\pi$
$211$	13.1611	−	13.1611i	0.906046	−	0.906046i	0.995950	+	0.0899047i	$0.0286562\pi$
$212$	13.4054	−	8.45130i	0.920688	−	0.580438i
$213$	0.708957	+	0.111169i	0.0485769	+	0.00761720i
$214$	20.7276	−	16.5552i	1.41691	−	1.13169i
$215$	−8.57326	+	4.94978i	−0.584692	+	0.337572i
$216$	−10.2293	−	10.5528i	−0.696012	−	0.718030i
$217$	4.56655	+	4.73411i	0.309998	+	0.321372i
$218$	17.5554	+	6.87477i	1.18900	+	0.465618i
$219$	−9.43037	+	11.6823i	−0.637246	+	0.789414i
$220$	−4.76614	−	15.3695i	−0.321333	−	1.03621i
$221$	11.3239	−	3.03423i	0.761728	−	0.204105i
$222$	8.57649	+	15.0346i	0.575616	+	1.00905i
$223$			3.69363i			0.247343i	0.992323	+	0.123672i	$0.0394670\pi$
$223$			3.69363i			0.247343i	−0.992323	+	0.123672i	$0.960533\pi$
$224$	−4.61495	+	14.2374i	−0.308349	+	0.951273i
$225$	5.43499	+	5.99893i	0.362332	+	0.399928i
$226$	−13.4579	−	9.91681i	−0.895209	−	0.659657i
$227$	6.74450	+	25.1708i	0.447648	+	1.67065i	0.708849	+	0.705361i	$0.249215\pi$
$227$	6.74450	+	25.1708i	0.447648	+	1.67065i	−0.261201	+	0.965285i	$0.584118\pi$
$228$	−22.7638	−	2.66724i	−1.50757	−	0.176642i
$229$	8.90086	+	2.38498i	0.588185	+	0.157604i	0.540624	−	0.841265i	$-0.318188\pi$
$229$	8.90086	+	2.38498i	0.588185	+	0.157604i	0.0475615	+	0.998868i	$0.484855\pi$
$230$	−3.48799	+	8.90693i	−0.229991	+	0.587305i
$231$	−4.19664	+	23.9373i	−0.276119	+	1.57496i
$232$	−7.99126	−	16.4988i	−0.524652	−	1.08320i
$233$	−7.46280	−	12.9260i	−0.488905	−	0.846808i	0.511014	−	0.859572i	$-0.329270\pi$
$233$	−7.46280	−	12.9260i	−0.488905	−	0.846808i	−0.999919	+	0.0127648i	$0.995937\pi$
$234$	19.3757	+	3.14135i	1.26663	+	0.205357i
$235$	5.93788	−	1.59105i	0.387345	−	0.103789i
$236$	3.06221	+	4.85726i	0.199333	+	0.316181i
$237$	−4.38955	−	11.3828i	−0.285132	−	0.739390i
$238$	1.25105	+	9.39827i	0.0810937	+	0.609199i
$239$			2.76831i			0.179067i	0.995984	+	0.0895334i	$0.0285376\pi$
$239$			2.76831i			0.179067i	−0.995984	+	0.0895334i	$0.971462\pi$
$240$	−1.92380	−	10.3335i	−0.124181	−	0.667026i
$241$	−17.3630	−	10.0245i	−1.11845	−	0.645738i	−0.177445	−	0.984131i	$-0.556783\pi$
$241$	−17.3630	−	10.0245i	−1.11845	−	0.645738i	−0.941005	+	0.338393i	$0.890117\pi$
$242$	2.69339	−	24.0670i	0.173138	−	1.54708i
$243$	−11.1072	−	10.9376i	−0.712528	−	0.701644i
$244$	10.1564	−	0.395305i	0.650197	−	0.0253068i
$245$	7.77509	−	7.23412i	0.496732	−	0.462171i
$246$	14.2622	+	14.4110i	0.909324	+	0.918812i
$247$	26.5094	−	15.3052i	1.68675	−	0.973848i
$248$	−4.59874	−	5.31954i	−0.292020	−	0.337791i
$249$	−2.85818	+	2.08332i	−0.181130	+	0.132025i
$250$	2.47402	+	16.3308i	0.156471	+	1.03285i
$251$	12.4145	+	12.4145i	0.783596	+	0.783596i	0.980436	−	0.196839i	$-0.0630678\pi$
$251$	12.4145	+	12.4145i	0.783596	+	0.783596i	−0.196839	+	0.980436i	$0.563068\pi$
$252$	−4.54228	+	15.2108i	−0.286137	+	0.958189i
$253$	−16.7183	+	16.7183i	−1.05107	+	1.05107i
$254$	6.26487	−	8.50195i	0.393093	−	0.533460i
$255$	−3.92214	−	5.38092i	−0.245614	−	0.336966i
$256$	5.75586	−	14.9288i	0.359741	−	0.933052i
$257$	2.67175	+	4.62761i	0.166659	+	0.288663i	0.937243	−	0.348676i	$-0.113369\pi$
$257$	2.67175	+	4.62761i	0.166659	+	0.288663i	−0.770584	+	0.637339i	$0.780035\pi$
$258$	−15.9830	−	0.0829483i	−0.995059	−	0.00516414i
$259$	9.63794	−	16.0199i	0.598873	−	0.995427i
$260$	10.3051	+	9.53293i	0.639092	+	0.591207i
$261$	−8.88081	−	17.2977i	−0.549708	−	1.07070i
$262$	11.4411	−	9.13802i	0.706832	−	0.564549i
$263$	5.62722	−	9.74662i	0.346989	−	0.601003i	−0.638724	−	0.769436i	$-0.720537\pi$
$263$	5.62722	−	9.74662i	0.346989	−	0.601003i	0.985713	+	0.168433i	$0.0538708\pi$
$264$	5.87454	−	25.3075i	0.361553	−	1.55757i
$265$	12.0211			0.738453
$266$	9.50655	+	22.8579i	0.582884	+	1.40150i
$267$	−4.82293	+	1.85987i	−0.295159	+	0.113822i
$268$	−9.84574	+	6.20714i	−0.601424	+	0.379161i
$269$	−1.31233	−	4.89767i	−0.0800140	−	0.298616i	0.914309	−	0.405016i	$-0.132734\pi$
$269$	−1.31233	−	4.89767i	−0.0800140	−	0.298616i	−0.994323	+	0.106400i	$0.966068\pi$
$270$	−2.29491	−	10.9099i	−0.139664	−	0.663957i
$271$	6.40971	−	3.70065i	0.389362	−	0.224798i	−0.292521	−	0.956259i	$-0.594494\pi$
$271$	6.40971	−	3.70065i	0.389362	−	0.224798i	0.681884	+	0.731460i	$0.261161\pi$
$272$	−0.787813	−	10.1051i	−0.0477681	−	0.612714i
$273$	−7.27080	−	19.9157i	−0.440049	−	1.20535i
$274$	−2.61095	−	5.97212i	−0.157733	−	0.360789i
$275$	−3.70358	+	13.8220i	−0.223334	+	0.833496i
$276$	−12.1172	+	9.57545i	−0.729369	+	0.576374i
$277$	−16.2130	+	4.34426i	−0.974145	+	0.261021i	−0.710577	−	0.703619i	$-0.751566\pi$
$277$	−16.2130	+	4.34426i	−0.974145	+	0.261021i	−0.263568	+	0.964641i	$0.584899\pi$
$278$	0.735230	+	4.85320i	0.0440962	+	0.291075i
$279$	−5.00764	−	5.52723i	−0.299799	−	0.330907i
$280$	−8.72109	+	7.26905i	−0.521185	+	0.434409i
$281$	5.15179			0.307330			0.153665	−	0.988123i	$-0.450892\pi$
$281$	5.15179			0.307330			0.153665	+	0.988123i	$0.450892\pi$
$282$	9.57349	+	2.61853i	0.570093	+	0.155931i
$283$	5.93561	+	22.1520i	0.352835	+	1.31680i	0.883187	+	0.469022i	$0.155393\pi$
$283$	5.93561	+	22.1520i	0.352835	+	1.31680i	−0.530351	+	0.847778i	$0.677940\pi$
$284$	0.245434	+	0.791454i	0.0145638	+	0.0469642i
$285$	−13.5284	−	10.9206i	−0.801352	−	0.646882i
$286$	13.8995	+	31.7928i	0.821894	+	1.87995i
$287$	6.04820	−	21.0481i	0.357014	−	1.24243i
$288$	5.73500	−	15.9722i	0.337938	−	0.941168i
$289$	5.28955	+	9.16177i	0.311150	+	0.538928i
$290$	1.54664	−	13.8201i	0.0908215	−	0.811542i
$291$	−0.764179	+	4.87337i	−0.0447970	+	0.285682i
$292$	−16.9073	−	3.83227i	−0.989424	−	0.224266i
$293$	16.6797	+	16.6797i	0.974438	+	0.974438i	0.999681	−	0.0252435i	$-0.00803611\pi$
$293$	16.6797	+	16.6797i	0.974438	+	0.974438i	−0.0252435	+	0.999681i	$0.508036\pi$
$294$	16.7310	−	3.75160i	0.975770	−	0.218798i
$295$			4.35569i			0.253598i
$296$	−11.2215	+	16.5389i	−0.652239	+	0.961306i
$297$	5.60477	−	26.9803i	0.325221	−	1.56556i
$298$	−11.8353	+	9.45291i	−0.685602	+	0.547592i
$299$	5.33849	−	19.9235i	0.308733	−	1.15221i
$300$	−3.45347	+	8.68573i	−0.199386	+	0.501471i
$301$	8.36122	+	15.1040i	0.481933	+	0.870580i
$302$	−6.99160	+	3.05666i	−0.402321	+	0.175891i
$303$	6.64264	−	0.708509i	0.381610	−	0.0407028i
$304$	−8.81591	−	24.9537i	−0.505627	−	1.43119i
$305$	6.67722	+	3.85510i	0.382337	+	0.220742i
$306$	−1.08471	−	10.6958i	−0.0620087	−	0.611437i
$307$	12.7919	+	12.7919i	0.730072	+	0.730072i	0.970634	−	0.240562i	$-0.0773318\pi$
$307$	12.7919	+	12.7919i	0.730072	+	0.730072i	−0.240562	+	0.970634i	$0.577332\pi$
$308$	−26.9482	+	7.82756i	−1.53552	+	0.446016i
$309$	8.80902	+	22.8431i	0.501127	+	1.29950i
$310$	−0.798970	−	5.27394i	−0.0453784	−	0.299539i
$311$	−4.48846	−	2.59141i	−0.254517	−	0.146946i	0.367314	−	0.930097i	$-0.380278\pi$
$311$	−4.48846	−	2.59141i	−0.254517	−	0.146946i	−0.621831	+	0.783152i	$0.713611\pi$
$312$	6.60078	+	21.6828i	0.373696	+	1.22754i
$313$	9.99423	+	17.3105i	0.564907	+	0.978448i	0.997058	+	0.0766470i	$0.0244214\pi$
$313$	9.99423	+	17.3105i	0.564907	+	0.978448i	−0.432151	+	0.901801i	$0.642245\pi$
$314$	8.85511	−	22.6124i	0.499723	−	1.27609i
$315$	−9.06826	+	7.92309i	−0.510938	+	0.446416i
$316$	9.56616	−	10.3410i	0.538138	−	0.581725i
$317$	−6.91994	+	25.8256i	−0.388662	+	1.45051i	0.443650	+	0.896200i	$0.353683\pi$
$317$	−6.91994	+	25.8256i	−0.388662	+	1.45051i	−0.832312	+	0.554307i	$0.812983\pi$
$318$	16.7578	+	9.79141i	0.939729	+	0.549075i
$319$	17.1862	−	29.7674i	0.962244	−	1.66666i
$320$	9.73294	−	7.25122i	0.544088	−	0.405356i
$321$	29.7009	+	13.1690i	1.65774	+	0.735019i
$322$	15.4207	+	6.36152i	0.859364	+	0.354514i
$323$	−11.8549	−	11.8549i	−0.659625	−	0.659625i
$324$	5.68715	−	17.0780i	0.315953	−	0.948775i
$325$	−3.23100	−	12.0583i	−0.179224	−	0.668872i
$326$	−2.29427	+	1.83244i	−0.127068	+	0.101490i
$327$	2.44898	+	22.9605i	0.135429	+	1.26972i
$328$	−7.68264	+	22.1155i	−0.424203	+	1.22112i
$329$	−2.58766	−	10.4034i	−0.142663	−	0.573557i
$330$	14.0078	−	13.8631i	0.771103	−	0.763140i
$331$	5.16327	−	19.2696i	0.283799	−	1.05915i	−0.665913	−	0.746029i	$-0.731958\pi$
$331$	5.16327	−	19.2696i	0.283799	−	1.05915i	0.949712	−	0.313123i	$-0.101375\pi$
$332$	−3.61361	−	1.90291i	−0.198323	−	0.104436i
$333$	−11.4909	+	17.8143i	−0.629700	+	0.976218i
$334$	9.52628	+	7.01967i	0.521255	+	0.384099i
$335$	−8.82904			−0.482382
$336$	−18.0782	+	3.02977i	−0.986245	+	0.165288i
$337$	7.71444			0.420232			0.210116	−	0.977676i	$-0.432616\pi$
$337$	7.71444			0.420232			0.210116	+	0.977676i	$0.432616\pi$
$338$	−9.56877	−	7.05098i	−0.520473	−	0.383523i
$339$	3.17173	−	20.2269i	0.172265	−	1.09858i
$340$	3.58249	−	6.80312i	0.194288	−	0.368951i
$341$	3.41237	−	12.7351i	0.184790	−	0.689647i
$342$	−9.96386	−	26.2427i	−0.538784	−	1.41904i
$343$	−12.3693	−	13.7840i	−0.667880	−	0.744269i
$344$	−8.04514	−	16.6101i	−0.433765	−	0.895554i
$345$	−11.6493	+	1.24252i	−0.627175	+	0.0668949i
$346$	−10.4710	+	8.36319i	−0.562923	+	0.449608i
$347$	−4.50751	−	16.8223i	−0.241976	−	0.903066i	−0.974879	−	0.222734i	$-0.928502\pi$
$347$	−4.50751	−	16.8223i	−0.241976	−	0.903066i	0.732903	−	0.680333i	$-0.238165\pi$
$348$	13.4127	−	18.0057i	0.718996	−	0.965209i
$349$	−5.98761	−	5.98761i	−0.320509	−	0.320509i	0.528453	−	0.848963i	$-0.322772\pi$
$349$	−5.98761	−	5.98761i	−0.320509	−	0.320509i	−0.848963	+	0.528453i	$0.822772\pi$
$350$	10.0077	−	1.33218i	0.534936	−	0.0712081i
$351$	7.53429	+	22.8290i	0.402151	+	1.21852i
$352$	29.2221	−	6.78532i	1.55754	−	0.361659i
$353$	0.535788	−	0.928012i	0.0285171	−	0.0493931i	−0.851415	−	0.524493i	$-0.824255\pi$
$353$	0.535788	−	0.928012i	0.0285171	−	0.0493931i	0.879932	+	0.475100i	$0.157588\pi$
$354$	−3.54778	+	6.07194i	−0.188562	+	0.322720i
$355$	−0.162688	+	0.607162i	−0.00863461	+	0.0322248i
$356$	−4.38152	−	4.05323i	−0.232220	−	0.214821i
$357$	−9.50548	+	6.66969i	−0.503084	+	0.352997i
$358$	−3.38032	+	8.63198i	−0.178656	+	0.456214i
$359$	−4.24926	−	7.35994i	−0.224268	−	0.388443i	0.731832	−	0.681485i	$-0.238666\pi$
$359$	−4.24926	−	7.35994i	−0.224268	−	0.388443i	−0.956099	+	0.293042i	$0.905332\pi$
$360$	10.1416	−	7.92915i	0.534511	−	0.417903i
$361$	−21.4562	−	12.3877i	−1.12927	−	0.651985i
$362$	−1.44719	−	9.55279i	−0.0760626	−	0.502083i
$363$	27.6735	−	10.6718i	1.45248	−	0.560122i
$364$	16.9455	−	17.6686i	0.888186	−	0.926089i
$365$	−9.29897	−	9.29897i	−0.486730	−	0.486730i
$366$	6.16818	+	10.8128i	0.322416	+	0.565194i
$367$	25.0712	+	14.4749i	1.30871	+	0.755583i	0.981880	−	0.189501i	$-0.0606872\pi$
$367$	25.0712	+	14.4749i	1.30871	+	0.755583i	0.326827	+	0.945084i	$0.394020\pi$
$368$	−16.0903	−	7.68920i	−0.838763	−	0.400827i
$369$	−7.60079	+	23.6402i	−0.395681	+	1.23066i
$370$	−13.8916	+	6.07327i	−0.722190	+	0.315734i
$371$	0.377612	−	20.9603i	0.0196046	−	1.08820i
$372$	3.18192	−	8.00277i	0.164975	−	0.414924i
$373$	−0.623609	+	2.32734i	−0.0322893	+	0.120505i	−0.980189	−	0.198062i	$-0.936535\pi$
$373$	−0.623609	+	2.32734i	−0.0322893	+	0.120505i	0.947900	+	0.318568i	$0.103202\pi$
$374$	14.8493	−	11.8602i	0.767838	−	0.613275i
$375$	−16.3475	+	11.9157i	−0.844182	+	0.615322i
$376$	2.15602	+	11.2559i	0.111188	+	0.580480i
$377$			29.9865i			1.54438i
$378$	−19.0949	+	3.65875i	−0.982133	+	0.188186i
$379$	−3.23601	−	3.23601i	−0.166223	−	0.166223i	0.619094	−	0.785317i	$-0.287500\pi$
$379$	−3.23601	−	3.23601i	−0.166223	−	0.166223i	−0.785317	+	0.619094i	$0.787500\pi$
$380$	4.43787	−	19.5791i	0.227658	−	1.00439i
$381$	12.7782	+	2.00371i	0.654648	+	0.102653i
$382$	2.58325	−	23.0828i	0.132171	−	1.18102i
$383$	2.25621	+	3.90787i	0.115287	+	0.199683i	0.917894	−	0.396825i	$-0.129888\pi$
$383$	2.25621	+	3.90787i	0.115287	+	0.199683i	−0.802608	+	0.596507i	$0.796555\pi$
$384$	19.4742	−	2.18074i	0.993788	−	0.111286i
$385$	−20.4591	−	5.87897i	−1.04269	−	0.299620i
$386$	0.221288	+	0.506160i	0.0112633	+	0.0257629i
$387$	−8.94068	−	17.4143i	−0.454480	−	0.885221i
$388$	−5.44046	+	1.68711i	−0.276198	+	0.0856503i
$389$	3.41812	+	12.7566i	0.173306	+	0.646786i	0.996834	+	0.0795107i	$0.0253358\pi$
$389$	3.41812	+	12.7566i	0.173306	+	0.646786i	−0.823528	+	0.567275i	$0.807998\pi$
$390$	−4.53606	+	16.5840i	−0.229692	+	0.839766i
$391$	−11.2971			−0.571317
$392$	12.4005	+	15.4346i	0.626321	+	0.779566i
$393$	16.3941	+	7.26890i	0.826972	+	0.366667i
$394$	−1.05935	−	6.99271i	−0.0533694	−	0.352287i
$395$	10.3220	−	2.76577i	0.519355	−	0.139161i
$396$	30.8189	−	7.91599i	1.54871	−	0.397794i
$397$	−3.32074	+	12.3932i	−0.166663	+	0.621996i	0.831159	+	0.556035i	$0.187678\pi$
$397$	−3.32074	+	12.3932i	−0.166663	+	0.621996i	−0.997822	+	0.0659609i	$0.978989\pi$
$398$	−0.922958	−	2.11112i	−0.0462637	−	0.105821i
$399$	−19.4664	+	23.2453i	−0.974538	+	1.16372i
$400$	−10.7604	+	0.838902i	−0.538022	+	0.0419451i
$401$	−8.72676	+	5.03840i	−0.435794	+	0.251606i	−0.701812	−	0.712362i	$-0.747625\pi$
$401$	−8.72676	+	5.03840i	−0.435794	+	0.251606i	0.266018	+	0.963968i	$0.414292\pi$
$402$	−12.3079	−	7.19139i	−0.613862	−	0.358674i
$403$	2.97695	+	11.1101i	0.148292	+	0.553435i
$404$	4.11378	+	6.52526i	0.204668	+	0.324644i
$405$	10.5583	−	8.65809i	0.524645	−	0.430224i
$406$	−24.0483	−	3.13086i	−1.19350	−	0.155382i
$407$	−37.4741			−1.85752
$408$	10.5353	−	6.56572i	0.521576	−	0.325051i
$409$	7.83669	−	13.5735i	0.387499	−	0.671169i	−0.604613	−	0.796519i	$-0.706672\pi$
$409$	7.83669	−	13.5735i	0.387499	−	0.671169i	0.992112	+	0.125351i	$0.0400056\pi$
$410$	−13.8767	+	11.0834i	−0.685321	+	0.547368i
$411$	5.01418	−	6.21152i	0.247331	−	0.306392i
$412$	−19.1975	+	20.7524i	−0.945794	+	1.02240i
$413$	7.59467	+	0.136822i	0.373709	+	0.00673258i
$414$	−17.2514	−	7.75641i	−0.847861	−	0.381207i
$415$	−1.54901	−	2.68297i	−0.0760381	−	0.131702i
$416$	−19.1181	+	17.8731i	−0.937343	+	0.876301i
$417$	−4.85816	+	3.54110i	−0.237905	+	0.173408i
$418$	29.4363	−	39.9475i	1.43977	−	1.95389i
$419$	−17.5133	+	17.5133i	−0.855581	+	0.855581i	−0.990814	−	0.135233i	$-0.956822\pi$
$419$	−17.5133	+	17.5133i	−0.855581	+	0.855581i	0.135233	+	0.990814i	$0.456822\pi$
$420$	−12.8264	−	5.36932i	−0.625862	−	0.261996i
$421$	−4.80137	−	4.80137i	−0.234004	−	0.234004i	0.580358	−	0.814362i	$-0.302913\pi$
$421$	−4.80137	−	4.80137i	−0.234004	−	0.234004i	−0.814362	+	0.580358i	$0.802913\pi$
$422$	3.94266	+	26.0252i	0.191926	+	1.26689i
$423$	2.56391	+	11.8823i	0.124662	+	0.577737i
$424$	−1.62443	+	22.3522i	−0.0788891	+	1.08552i
$425$	−5.92127	+	3.41865i	−0.287224	+	0.165829i
$426$	−0.721334	+	0.713886i	−0.0349488	+	0.0345879i
$427$	6.93157	−	11.5214i	0.335442	−	0.557562i
$428$	1.45907	+	37.4872i	0.0705267	+	1.81201i
$429$	−26.6932	+	33.0672i	−1.28876	+	1.59650i
$430$	1.55706	−	13.9132i	0.0750882	−	0.670955i
$431$	−11.6473	−	6.72457i	−0.561031	−	0.323911i	0.192528	−	0.981291i	$-0.438331\pi$
$431$	−11.6473	−	6.72457i	−0.561031	−	0.323911i	−0.753559	+	0.657380i	$0.771665\pi$
$432$	20.5961	−	2.79291i	0.990931	−	0.134374i
$433$			3.22049i			0.154767i	0.997001	+	0.0773835i	$0.0246566\pi$
$433$			3.22049i			0.154767i	−0.997001	+	0.0773835i	$0.975343\pi$
$434$	−9.22084	+	1.22743i	−0.442614	+	0.0589187i
$435$	15.8911	−	6.12808i	0.761918	−	0.293819i
$436$	−22.5548	+	14.2194i	−1.08018	+	0.680986i
$437$	−28.4922	+	7.63447i	−1.36297	+	0.365206i
$438$	−5.38884	−	20.5372i	−0.257489	−	0.981303i
$439$	2.04242	+	3.53758i	0.0974796	+	0.168840i	0.910641	−	0.413199i	$-0.135589\pi$
$439$	2.04242	+	3.53758i	0.0974796	+	0.168840i	−0.813161	+	0.582039i	$0.802255\pi$
$440$	21.4967	+	7.46768i	1.02481	+	0.356008i
$441$	13.5300	+	16.0605i	0.644286	+	0.764785i
$442$	−6.04552	+	15.4378i	−0.287556	+	0.734303i
$443$	33.9418	+	9.09469i	1.61263	+	0.432102i	0.948824	−	0.315807i	$-0.102275\pi$
$443$	33.9418	+	9.09469i	1.61263	+	0.432102i	0.663802	+	0.747908i	$0.268942\pi$
$444$	−24.3120	−	2.84864i	−1.15380	−	0.135191i
$445$	−1.17187	−	4.37347i	−0.0555519	−	0.207323i
$446$	−4.20521	−	3.09871i	−0.199122	−	0.146728i
$447$	−16.9590	−	7.51938i	−0.802133	−	0.355654i
$448$	−12.3376	−	17.1983i	−0.582899	−	0.812545i
$449$		−	15.0471i		−	0.710117i	−0.934844	−	0.355058i	$-0.884461\pi$
$449$		−	15.0471i		−	0.710117i	0.934844	−	0.355058i	$-0.115539\pi$
$450$	−11.3894	+	1.15505i	−0.536901	+	0.0544497i
$451$	−42.4009	+	11.3613i	−1.99658	+	0.534982i
$452$	22.5807	−	7.00237i	1.06210	−	0.329364i
$453$	−7.27187	−	5.87013i	−0.341662	−	0.275803i
$454$	−34.3152	−	13.4380i	−1.61049	−	0.630677i
$455$	18.0217	−	4.48258i	0.844869	−	0.210147i
$456$	22.1340	−	23.6790i	1.03652	−	1.10887i
$457$	−24.7106	+	14.2667i	−1.15591	+	0.667366i	−0.950321	−	0.311271i	$-0.899245\pi$
$457$	−24.7106	+	14.2667i	−1.15591	+	0.667366i	−0.205592	+	0.978638i	$0.565912\pi$
$458$	−10.1825	+	8.13282i	−0.475799	+	0.380022i
$459$	11.0094	−	7.22206i	0.513873	−	0.337097i
$460$	−7.21437	−	11.4434i	−0.336372	−	0.533552i
$461$	20.1739	−	20.1739i	0.939595	−	0.939595i	−0.0586822	−	0.998277i	$-0.518690\pi$
$461$	20.1739	−	20.1739i	0.939595	−	0.939595i	0.998277	+	0.0586822i	$0.0186899\pi$
$462$	−23.7320	−	24.8597i	−1.10411	−	1.15658i
$463$	21.9849			1.02172			0.510862	−	0.859662i	$-0.329326\pi$
$463$	21.9849			1.02172			0.510862	+	0.859662i	$0.329326\pi$
$464$	25.4881	+	4.74334i	1.18326	+	0.220204i
$465$	5.27933	−	3.84809i	0.244823	−	0.178451i
$466$	20.9770	+	2.34759i	0.971743	+	0.108750i
$467$	5.87421	+	1.57399i	0.271826	+	0.0728355i	0.392157	−	0.919898i	$-0.371729\pi$
$467$	5.87421	+	1.57399i	0.271826	+	0.0728355i	−0.120331	+	0.992734i	$0.538396\pi$
$468$	−19.8313	+	19.4239i	−0.916704	+	0.897869i
$469$	−0.277340	+	15.3945i	−0.0128064	+	0.710852i
$470$	−3.17007	+	8.09508i	−0.146224	+	0.373398i
$471$	29.5745	−	3.15443i	1.36272	−	0.145349i
$472$	−8.09900	−	0.588587i	−0.372787	−	0.0270919i
$473$	17.3021	−	29.9681i	0.795551	−	1.37793i
$474$	16.6419	+	4.55187i	0.764386	+	0.209074i
$475$	−12.6237	+	12.6237i	−0.579215	+	0.579215i
$476$	−11.7495	−	6.46020i	−0.538538	−	0.296103i
$477$	−1.17098	+	23.7418i	−0.0536154	+	1.08706i
$478$	−3.15173	−	2.32242i	−0.144157	−	0.106225i
$479$	−19.6069	+	33.9601i	−0.895860	+	1.55168i	−0.0631235	+	0.998006i	$0.520106\pi$
$479$	−19.6069	+	33.9601i	−0.895860	+	1.55168i	−0.832737	+	0.553669i	$0.813227\pi$
$480$	13.3787	+	6.47890i	0.610651	+	0.295720i
$481$	28.3124	−	16.3462i	1.29093	−	0.745321i
$482$	25.9794	−	11.3579i	1.18333	−	0.517340i
$483$	1.80055	+	20.3509i	0.0819278	+	0.925999i
$484$	25.1407	+	23.2570i	1.14276	+	1.05714i
$485$	−4.17363	−	1.11832i	−0.189515	−	0.0507804i
$486$	21.7706	−	3.46971i	0.987537	−	0.157389i
$487$	15.1057	+	8.72131i	0.684507	+	0.395200i	0.801551	−	0.597927i	$-0.204009\pi$
$487$	15.1057	+	8.72131i	0.684507	+	0.395200i	−0.117044	+	0.993127i	$0.537342\pi$
$488$	−8.07049	+	11.8947i	−0.365334	+	0.538449i
$489$	−3.28750	−	1.45763i	−0.148666	−	0.0659163i
$490$	1.71328	+	14.9209i	0.0773982	+	0.674058i
$491$	28.5862	−	28.5862i	1.29008	−	1.29008i	0.355338	−	0.934738i	$-0.384366\pi$
$491$	28.5862	−	28.5862i	1.29008	−	1.29008i	0.934738	−	0.355338i	$-0.115634\pi$
$492$	−28.3720	+	4.14768i	−1.27911	+	0.186992i
$493$	15.8640	−	4.25075i	0.714478	−	0.191444i
$494$	−4.81460	+	43.0211i	−0.216619	+	1.93561i
$495$	22.9787	+	7.38812i	1.03282	+	0.332071i
$496$	9.91436	−	0.772939i	0.445168	−	0.0347060i
$497$	1.05355	+	0.302739i	0.0472581	+	0.0135797i
$498$	0.0259584	−	5.00182i	0.00116322	−	0.224137i
$499$	−7.86921	−	2.10855i	−0.352274	−	0.0943915i	0.0783426	−	0.996926i	$-0.475037\pi$
$499$	−7.86921	−	2.10855i	−0.352274	−	0.0943915i	−0.430617	+	0.902535i	$0.641704\pi$
$500$	−20.6682	−	10.8838i	−0.924311	−	0.486738i
$501$	−2.24513	+	14.3178i	−0.100305	+	0.639670i
$502$	−24.5489	+	3.71901i	−1.09567	+	0.165988i
$503$		−	27.0140i		−	1.20449i	−0.798310	−	0.602247i	$-0.794272\pi$
$503$		−	27.0140i		−	1.20449i	0.798310	−	0.602247i	$-0.205728\pi$
$504$	−13.5069	−	17.9322i	−0.601643	−	0.798765i
$505$			5.85145i			0.260386i
$506$	−5.00830	−	33.0594i	−0.222646	−	1.46967i
$507$	2.25514	−	14.3816i	0.100154	−	0.638710i
$508$	4.42370	+	14.2652i	0.196270	+	0.632914i
$509$	6.57765	+	1.76248i	0.291549	+	0.0781204i	0.401629	−	0.915802i	$-0.368444\pi$
$509$	6.57765	+	1.76248i	0.291549	+	0.0781204i	−0.110080	+	0.993923i	$0.535111\pi$
$510$	9.41661	+	0.0488701i	0.416974	+	0.00216401i
$511$	−16.5060	+	15.9218i	−0.730181	+	0.704338i
$512$	12.1677	+	19.0774i	0.537744	+	0.843108i
$513$	22.8860	−	25.6548i	1.01044	−	1.13268i
$514$	−7.50998	−	0.840459i	−0.331251	−	0.0370711i
$515$	−20.7143	+	5.55039i	−0.912782	+	0.244579i
$516$	13.5031	−	18.1271i	0.594442	−	0.798002i
$517$	−15.1945	+	15.1945i	−0.668252	+	0.668252i
$518$	10.1531	+	24.4125i	0.446102	+	1.07262i
$519$	−15.0040	−	6.65255i	−0.658602	−	0.292015i
$520$	−19.4985	+	3.73485i	−0.855067	+	0.163784i
$521$	−23.5238	−	13.5815i	−1.03060	−	0.595016i	−0.113442	−	0.993545i	$-0.536188\pi$
$521$	−23.5238	−	13.5815i	−1.03060	−	0.595016i	−0.917156	+	0.398529i	$0.869521\pi$
$522$	27.1439	+	4.40081i	1.18806	+	0.192618i
$523$	−34.4571	−	9.23276i	−1.50670	−	0.403720i	−0.591365	−	0.806404i	$-0.701411\pi$
$523$	−34.4571	−	9.23276i	−1.50670	−	0.403720i	−0.915339	+	0.402684i	$0.868077\pi$
$524$	0.805365	+	20.6919i	0.0351825	+	0.903930i
$525$	7.10221	+	10.1219i	0.309966	+	0.441756i
$526$	6.37570	+	14.5834i	0.277994	+	0.635865i
$527$	5.45568	−	3.14984i	0.237653	−	0.137209i
$528$	23.8843	+	27.9195i	1.03943	+	1.21504i
$529$	1.56186	−	2.70522i	0.0679070	−	0.117618i
$530$	−10.0849	+	13.6861i	−0.438062	+	0.594487i
$531$	−8.60248	−	0.424288i	−0.373316	−	0.0184125i
$532$	−33.9991	−	8.35298i	−1.47405	−	0.362148i
$533$	27.0789	−	27.0789i	1.17292	−	1.17292i
$534$	1.92865	−	7.05123i	0.0834608	−	0.305137i
$535$	−14.2291	+	24.6456i	−0.615179	+	1.06552i
$536$	1.19307	−	16.4168i	0.0515330	−	0.709097i
$537$	−11.2897	+	1.20416i	−0.487185	+	0.0519635i
$538$	6.67697	+	2.61473i	0.287865	+	0.112729i
$539$	−10.8934	+	35.4883i	−0.469210	+	1.52859i
$540$	14.3463	+	6.53994i	0.617365	+	0.281434i
$541$	17.1438	+	4.59368i	0.737072	+	0.197498i	0.607776	−	0.794108i	$-0.292062\pi$
$541$	17.1438	+	4.59368i	0.737072	+	0.197498i	0.129295	+	0.991606i	$0.458728\pi$
$542$	−1.16412	+	10.4021i	−0.0500033	+	0.446808i
$543$	9.56256	−	6.97012i	0.410369	−	0.299116i
$544$	12.1657	+	7.58061i	0.521598	+	0.325016i
$545$	−20.2257			−0.866374
$546$	28.7738	+	8.43010i	1.23140	+	0.360775i
$547$	3.79584	−	3.79584i	0.162298	−	0.162298i	−0.621286	−	0.783584i	$-0.713389\pi$
$547$	3.79584	−	3.79584i	0.162298	−	0.162298i	0.783584	+	0.621286i	$0.213389\pi$
$548$	8.98970	+	2.03764i	0.384021	+	0.0870436i
$549$	−8.26424	+	12.8120i	−0.352709	+	0.546802i
$550$	−12.6293	−	15.8123i	−0.538515	−	0.674237i
$551$	37.1378	−	21.4415i	1.58213	−	0.913440i
$552$	−0.736174	−	21.8286i	−0.0313336	−	0.929088i
$553$	−4.49821	−	18.0845i	−0.191283	−	0.769031i
$554$	8.65568	−	22.1031i	0.367745	−	0.939071i
$555$	−14.4485	−	11.6634i	−0.613303	−	0.495082i
$556$	−6.14219	−	3.23445i	−0.260487	−	0.137171i
$557$	−31.4101	+	8.41630i	−1.33089	+	0.356610i	−0.853046	−	0.521836i	$-0.825247\pi$
$557$	−31.4101	+	8.41630i	−1.33089	+	0.356610i	−0.477841	+	0.878446i	$0.658581\pi$
$558$	10.4938	−	1.06423i	0.444240	−	0.0450525i
$559$			30.1886i			1.27684i
$560$	−0.959423	−	16.0272i	−0.0405430	−	0.677275i
$561$	21.2777	+	9.43424i	0.898347	+	0.398314i
$562$	−4.32201	+	5.86533i	−0.182313	+	0.247414i
$563$	3.46222	+	12.9212i	0.145915	+	0.544564i	0.999713	+	0.0239585i	$0.00762695\pi$
$563$	3.46222	+	12.9212i	0.145915	+	0.544564i	−0.853798	+	0.520605i	$0.825706\pi$
$564$	−11.0127	+	8.70267i	−0.463720	+	0.366449i
$565$	17.3227	+	4.64160i	0.728770	+	0.195273i
$566$	−30.1997	−	11.8263i	−1.26939	−	0.497098i
$567$	−14.7648	−	18.6816i	−0.620062	−	0.784553i
$568$	−1.10698	−	0.384550i	−0.0464477	−	0.0161354i
$569$	−8.20015	−	14.2031i	−0.343768	−	0.595424i	0.641361	−	0.767239i	$-0.278370\pi$
$569$	−8.20015	−	14.2031i	−0.343768	−	0.595424i	−0.985129	+	0.171816i	$0.945037\pi$
$570$	23.7826	−	6.24042i	0.996143	−	0.261382i
$571$	17.8330	−	4.77835i	0.746290	−	0.199968i	0.134418	−	0.990925i	$-0.457084\pi$
$571$	17.8330	−	4.77835i	0.746290	−	0.199968i	0.611872	+	0.790957i	$0.290417\pi$
$572$	−47.8570	−	10.8474i	−2.00100	−	0.453554i
$573$	26.5418	−	10.2354i	1.10880	−	0.427588i
$574$	18.8893	+	24.5438i	0.788422	+	1.02444i
$575$			12.0297i			0.501672i
$576$	13.3731	+	19.9289i	0.557211	+	0.830371i
$577$	−25.8503	−	14.9247i	−1.07616	−	0.621323i	−0.146305	−	0.989240i	$-0.546738\pi$
$577$	−25.8503	−	14.9247i	−1.07616	−	0.621323i	−0.929859	+	0.367916i	$0.880071\pi$
$578$	−14.8683	−	1.66395i	−0.618439	−	0.0692110i
$579$	−0.424971	+	0.526450i	−0.0176612	+	0.0218785i
$580$	14.4367	+	13.3550i	0.599450	+	0.554535i
$581$	−4.72674	+	2.61661i	−0.196098	+	0.108555i
$582$	−4.90726	−	4.95846i	−0.203412	−	0.205535i
$583$	−36.3906	+	21.0101i	−1.50715	+	0.870151i
$584$	18.5471	−	16.0340i	0.767486	−	0.663491i
$585$	−20.5836	+	4.44144i	−0.851026	+	0.183631i
$586$	−32.9830	+	4.99673i	−1.36252	+	0.206413i
$587$	19.4741	+	19.4741i	0.803784	+	0.803784i	0.983685	−	0.179901i	$-0.0575777\pi$
$587$	19.4741	+	19.4741i	0.803784	+	0.803784i	−0.179901	+	0.983685i	$0.557578\pi$
$588$	−9.76496	+	22.1956i	−0.402700	+	0.915332i
$589$	11.6311	−	11.6311i	0.479251	−	0.479251i
$590$	−4.95897	−	3.65413i	−0.204157	−	0.150438i
$591$	6.99986	−	5.10218i	0.287936	−	0.209875i
$592$	−9.41550	−	26.6508i	−0.386975	−	1.09534i
$593$	−15.5563	−	26.9442i	−0.638819	−	1.10647i	−0.985692	−	0.168555i	$-0.946090\pi$
$593$	−15.5563	−	26.9442i	−0.638819	−	1.10647i	0.346873	−	0.937912i	$-0.387243\pi$
$594$	26.0152	+	29.0158i	1.06742	+	1.19053i
$595$	−4.92613	−	8.89873i	−0.201952	−	0.364812i
$596$	−0.833117	−	21.4049i	−0.0341258	−	0.876780i
$597$	1.77249	−	2.19574i	0.0725431	−	0.0898657i
$598$	18.2043	+	22.7924i	0.744431	+	0.932050i
$599$	18.5062	−	32.0538i	0.756145	−	1.30968i	−0.188659	−	0.982043i	$-0.560414\pi$
$599$	18.5062	−	32.0538i	0.756145	−	1.30968i	0.944803	−	0.327638i	$-0.106253\pi$
$600$	−6.99150	−	11.2185i	−0.285427	−	0.457995i
$601$	12.6406			0.515623			0.257811	−	0.966195i	$-0.416999\pi$
$601$	12.6406			0.515623			0.257811	+	0.966195i	$0.416999\pi$
$602$	−24.2105	−	3.15197i	−0.986745	−	0.128465i
$603$	0.860036	−	17.4374i	0.0350234	−	0.710104i
$604$	2.38547	−	10.5243i	0.0970636	−	0.428228i
$605$	6.72406	+	25.0946i	0.273372	+	1.02024i
$606$	−4.76610	+	8.15706i	−0.193609	+	0.331358i
$607$	−32.4438	+	18.7314i	−1.31685	+	0.760286i	−0.983221	−	0.182418i	$-0.941608\pi$
$607$	−32.4438	+	18.7314i	−1.31685	+	0.760286i	−0.333632	+	0.942703i	$0.608274\pi$
$608$	35.8058	+	10.8975i	1.45212	+	0.441954i
$609$	−10.1859	−	27.9005i	−0.412752	−	1.13058i
$610$	−9.99079	+	4.36787i	−0.404515	+	0.176850i
$611$	4.85190	−	18.1075i	0.196287	−	0.732552i
$612$	13.0872	+	7.73810i	0.529018	+	0.312794i
$613$	29.8427	−	7.99632i	1.20533	−	0.322968i	0.400405	−	0.916338i	$-0.368870\pi$
$613$	29.8427	−	7.99632i	1.20533	−	0.322968i	0.804930	+	0.593370i	$0.202203\pi$
$614$	−25.2952	+	3.83206i	−1.02083	+	0.154650i
$615$	−19.8841	−	8.81632i	−0.801804	−	0.355509i
$616$	13.6961	−	37.2474i	0.551830	−	1.50074i
$617$	37.9892			1.52939			0.764694	−	0.644394i	$-0.222890\pi$
$617$	37.9892			1.52939			0.764694	+	0.644394i	$0.222890\pi$
$618$	−33.3971	−	9.13477i	−1.34343	−	0.367454i
$619$	5.71024	+	21.3109i	0.229514	+	0.856557i	0.980546	+	0.196291i	$0.0628898\pi$
$619$	5.71024	+	21.3109i	0.229514	+	0.856557i	−0.751032	+	0.660266i	$0.770444\pi$
$620$	6.67468	+	3.51485i	0.268062	+	0.141160i
$621$	−1.31922	−	23.1283i	−0.0529384	−	0.928108i
$622$	6.71586	−	2.93610i	0.269281	−	0.117727i
$623$	−7.66249	+	1.90591i	−0.306991	+	0.0763588i
$624$	−30.2235	−	10.6754i	−1.20991	−	0.427358i
$625$	−2.11397	−	3.66150i	−0.0845587	−	0.146460i
$626$	−28.0926	−	3.14391i	−1.12281	−	0.125656i
$627$	60.0400	+	9.41470i	2.39777	+	0.375987i
$628$	18.3154	+	29.0519i	0.730865	+	1.15930i
$629$	−12.6612	−	12.6612i	−0.504834	−	0.504834i
$630$	−1.41280	−	16.9712i	−0.0562874	−	0.676148i
$631$		−	10.3262i		−	0.411079i	−0.978649	−	0.205540i	$-0.934105\pi$
$631$		−	10.3262i		−	0.411079i	0.978649	−	0.205540i	$-0.0658950\pi$
$632$	3.74787	+	19.5665i	0.149082	+	0.778313i
$633$	−26.0518	+	18.9891i	−1.03547	+	0.754749i
$634$	−23.5971	−	29.5443i	−0.937161	−	1.17335i
$635$	−2.93229	+	10.9435i	−0.116364	+	0.434278i
$636$	−25.2062	+	10.8644i	−0.999491	+	0.430803i
$637$	−7.24982	−	31.5637i	−0.287248	−	1.25060i
$638$	19.4722	+	44.5395i	0.770912	+	1.76333i
$639$	−1.18330	−	0.380453i	−0.0468105	−	0.0150505i
$640$	0.0902452	+	17.1643i	0.00356726	+	0.678478i
$641$	30.4823	+	17.5989i	1.20398	+	0.695116i	0.961437	−	0.275025i	$-0.0886861\pi$
$641$	30.4823	+	17.5989i	1.20398	+	0.695116i	0.242540	+	0.970141i	$0.422019\pi$
$642$	−39.9100	+	22.7667i	−1.57512	+	0.898530i
$643$	−19.1808	−	19.1808i	−0.756418	−	0.756418i	0.219251	−	0.975669i	$-0.429639\pi$
$643$	−19.1808	−	19.1808i	−0.756418	−	0.756418i	−0.975669	+	0.219251i	$0.929639\pi$
$644$	−20.1796	+	12.2197i	−0.795187	+	0.481522i
$645$	15.9982	−	6.16940i	0.629928	−	0.242920i
$646$	23.4423	−	3.55137i	0.922326	−	0.139727i
$647$	−3.96536	−	2.28940i	−0.155894	−	0.0900056i	0.420024	−	0.907513i	$-0.362022\pi$
$647$	−3.96536	−	2.28940i	−0.155894	−	0.0900056i	−0.575918	+	0.817508i	$0.695355\pi$
$648$	14.6722	+	20.8021i	0.576377	+	0.817184i
$649$	−7.61272	−	13.1856i	−0.298825	−	0.517581i
$650$	16.4390	+	6.43757i	0.644789	+	0.252502i
$651$	−6.54377	−	9.32603i	−0.256471	−	0.365516i
$652$	−0.161500	−	4.14934i	−0.00632481	−	0.162501i
$653$	−1.22709	+	4.57956i	−0.0480197	+	0.179212i	−0.985770	−	0.168097i	$-0.946238\pi$
$653$	−1.22709	+	4.57956i	−0.0480197	+	0.179212i	0.937751	+	0.347309i	$0.112904\pi$
$654$	−28.1951	−	16.4742i	−1.10252	−	0.644190i
$655$	−7.85409	+	13.6037i	−0.306885	+	0.531540i
$656$	−18.7333	−	27.3001i	−0.731412	−	1.06589i
$657$	19.2713	−	17.4596i	0.751844	−	0.681166i
$658$	14.0152	+	5.78168i	0.546368	+	0.225394i
$659$	0.467243	+	0.467243i	0.0182012	+	0.0182012i	0.716149	−	0.697948i	$-0.245903\pi$
$659$	0.467243	+	0.467243i	0.0182012	+	0.0182012i	−0.697948	+	0.716149i	$0.745903\pi$
$660$	4.03163	+	27.5782i	0.156931	+	1.07348i
$661$	−4.84932	−	18.0979i	−0.188617	−	0.703927i	−0.993827	−	0.110938i	$-0.964614\pi$
$661$	−4.84932	−	18.0979i	−0.188617	−	0.703927i	0.805211	−	0.592989i	$-0.202052\pi$
$662$	17.6069	+	22.0443i	0.684310	+	0.856776i
$663$	−20.1909	+	2.15358i	−0.784151	+	0.0836381i
$664$	5.19805	−	2.51769i	0.201724	−	0.0977055i
$665$	−18.4378	−	19.1144i	−0.714989	−	0.741223i
$666$	−10.6415	−	28.0275i	−0.412351	−	1.08604i
$667$	7.47885	−	27.9114i	0.289582	−	1.08074i
$668$	−15.9838	+	4.95667i	−0.618433	+	0.191779i
$669$	0.991070	−	6.32031i	0.0383170	−	0.244357i
$670$	7.40698	−	10.0519i	0.286157	−	0.388339i
$671$	−26.9512			−1.04044
$672$	11.7170	−	23.1238i	0.451993	−	0.892022i
$673$	20.8544			0.803877			0.401939	−	0.915667i	$-0.368337\pi$
$673$	20.8544			0.803877			0.401939	+	0.915667i	$0.368337\pi$
$674$	−6.47190	+	8.78291i	−0.249288	+	0.338305i
$675$	−7.69041	−	11.7233i	−0.296004	−	0.451231i
$676$	16.0551	−	4.97878i	0.617505	−	0.191491i
$677$	−2.62896	+	9.81140i	−0.101039	+	0.377083i	−0.997866	−	0.0652992i	$-0.979200\pi$
$677$	−2.62896	+	9.81140i	−0.101039	+	0.377083i	0.896827	+	0.442382i	$0.145866\pi$
$678$	20.3676	+	20.5801i	0.782212	+	0.790374i
$679$	−2.08103	+	7.24210i	−0.0798627	+	0.277926i
$680$	4.73990	+	9.78604i	0.181767	+	0.375277i
$681$	−4.78698	−	44.8805i	−0.183438	−	1.71982i
$682$	11.6363	+	14.5689i	0.445575	+	0.557874i
$683$	2.56347	+	9.56699i	0.0980884	+	0.366071i	0.997470	−	0.0710944i	$-0.0226492\pi$
$683$	2.56347	+	9.56699i	0.0980884	+	0.366071i	−0.899381	+	0.437165i	$0.855983\pi$
$684$	38.2364	+	10.6720i	1.46201	+	0.408054i
$685$	4.94431	+	4.94431i	0.188913	+	0.188913i
$686$	26.0702	−	2.51861i	0.995366	−	0.0961611i
$687$	−14.5907	−	6.46930i	−0.556670	−	0.246819i
$688$	25.6599	+	4.77532i	0.978276	+	0.182057i
$689$	18.3292	−	31.7471i	0.698287	−	1.20947i
$690$	8.35835	−	14.3051i	0.318197	−	0.544587i
$691$	−7.23222	+	26.9910i	−0.275127	+	1.02679i	0.680630	+	0.732627i	$0.261706\pi$
$691$	−7.23222	+	26.9910i	−0.275127	+	1.02679i	−0.955756	+	0.294159i	$0.904960\pi$
$692$	−0.737076	−	18.9374i	−0.0280194	−	0.719892i
$693$	13.6039	−	39.8341i	0.516769	−	1.51317i
$694$	22.9337	+	8.98094i	0.870552	+	0.340912i
$695$	−2.63292	−	4.56034i	−0.0998722	−	0.172984i
$696$	9.24723	+	30.3760i	0.350515	+	1.15140i
$697$	−18.1644	−	10.4872i	−0.688024	−	0.397231i
$698$	11.8401	−	1.79371i	0.448155	−	0.0678928i
$699$	9.30163	+	24.1206i	0.351820	+	0.912323i
$700$	−6.87914	+	12.5115i	−0.260007	+	0.472889i
$701$	−28.5215	−	28.5215i	−1.07724	−	1.07724i	−0.996756	−	0.0804867i	$-0.974353\pi$
$701$	−28.5215	−	28.5215i	−1.07724	−	1.07724i	−0.0804867	−	0.996756i	$-0.525647\pi$
$702$	−32.3116	−	10.5742i	−1.21952	−	0.399096i
$703$	−40.4890	−	23.3763i	−1.52707	−	0.881655i
$704$	−16.7903	+	38.9619i	−0.632809	+	1.46843i
$705$	−10.5875	+	1.12927i	−0.398747	+	0.0425306i
$706$	0.607055	+	1.38854i	0.0228468	+	0.0522583i
$707$	10.2027	+	0.183807i	0.383712	+	0.00691279i
$708$	−3.93657	−	9.13311i	−0.147945	−	0.343243i
$709$	−0.902091	+	3.36665i	−0.0338787	+	0.126437i	−0.980794	−	0.195046i	$-0.937515\pi$
$709$	−0.902091	+	3.36665i	−0.0338787	+	0.126437i	0.946915	+	0.321483i	$0.104181\pi$
$710$	−0.554771	−	0.694590i	−0.0208202	−	0.0260675i
$711$	4.45692	+	20.6553i	0.167148	+	0.774635i
$712$	8.29042	−	1.58799i	0.310697	−	0.0595124i
$713$		−	11.0838i		−	0.415091i
$714$	0.381008	−	16.4175i	0.0142589	−	0.614408i
$715$	−26.3212	−	26.3212i	−0.984358	−	0.984358i
$716$	−6.99168	−	11.0902i	−0.261291	−	0.414459i
$717$	0.742789	−	4.73696i	0.0277400	−	0.176905i
$718$	11.9442	+	1.33670i	0.445752	+	0.0498852i
$719$	11.7981	+	20.4349i	0.439995	+	0.762094i	0.997689	−	0.0679529i	$-0.0216468\pi$
$719$	11.7981	+	20.4349i	0.439995	+	0.762094i	−0.557693	+	0.830047i	$0.688313\pi$
$720$	0.519205	+	18.1983i	0.0193496	+	0.678211i
$721$	9.02708	+	36.2923i	0.336186	+	1.35159i
$722$	32.1037	−	14.0354i	1.19478	−	0.522345i
$723$	27.0208	+	21.8122i	1.00491	+	0.811206i
$724$	12.0900	+	6.36652i	0.449321	+	0.236610i
$725$	−4.52640	−	16.8928i	−0.168106	−	0.627382i
$726$	−11.0664	+	40.4593i	−0.410712	+	1.50158i
$727$	−7.97467			−0.295764			−0.147882	−	0.989005i	$-0.547246\pi$
$727$	−7.97467			−0.295764			−0.147882	+	0.989005i	$0.547246\pi$
$728$	5.89966	+	34.1153i	0.218656	+	1.26440i
$729$	16.0712	+	21.6960i	0.595231	+	0.803554i
$730$	18.3881	−	2.78569i	0.680575	−	0.103103i
$731$	15.9709	−	4.27940i	0.590707	−	0.158279i
$732$	−17.4851	−	2.04873i	−0.646268	−	0.0757234i
$733$	10.0592	−	37.5414i	0.371544	−	1.38662i	−0.486785	−	0.873522i	$-0.661830\pi$
$733$	10.0592	−	37.5414i	0.371544	−	1.38662i	0.858329	−	0.513100i	$-0.171503\pi$
$734$	−37.5128	+	16.4002i	−1.38462	+	0.605343i
$735$	−15.2453	+	10.2924i	−0.562333	+	0.379641i
$736$	22.2528	−	11.8681i	0.820251	−	0.437464i
$737$	26.7274	−	15.4311i	0.984517	−	0.568411i
$738$	−20.5379	−	28.4861i	−0.756010	−	1.04859i
$739$	5.24112	+	19.5601i	0.192798	+	0.719531i	0.992826	+	0.119569i	$0.0381511\pi$
$739$	5.24112	+	19.5601i	0.192798	+	0.719531i	−0.800028	+	0.599962i	$0.795182\pi$
$740$	4.73970	−	20.9107i	0.174235	−	0.768693i
$741$	−49.4681	+	19.0764i	−1.81725	+	0.700790i
$742$	23.5466	+	18.0142i	0.864423	+	0.661323i
$743$	−49.4872			−1.81551			−0.907755	−	0.419500i	$-0.862205\pi$
$743$	−49.4872			−1.81551			−0.907755	+	0.419500i	$0.862205\pi$
$744$	6.44176	+	10.3364i	0.236166	+	0.378952i
$745$	8.12473	−	14.0725i	0.297667	−	0.515575i
$746$	−2.12652	−	2.66247i	−0.0778574	−	0.0974798i
$747$	5.44975	−	2.79795i	0.199396	−	0.102372i
$748$	1.04528	+	26.8559i	0.0382191	+	0.981947i
$749$	42.5256	+	25.5844i	1.55385	+	0.934833i
$750$	0.148470	−	28.6082i	0.00542136	−	1.04462i
$751$	−17.9201	−	31.0385i	−0.653914	−	1.13261i	−0.982165	−	0.188021i	$-0.939793\pi$
$751$	−17.9201	−	31.0385i	−0.653914	−	1.13261i	0.328251	−	0.944590i	$-0.393541\pi$
$752$	−14.6237	−	6.98835i	−0.533271	−	0.254839i
$753$	−17.9119	−	24.5740i	−0.652747	−	0.895527i
$754$	−34.1397	−	25.1567i	−1.24329	−	0.916151i
$755$	5.78834	−	5.78834i	0.210659	−	0.210659i
$756$	11.8538	−	24.8090i	0.431119	−	0.902295i
$757$	13.4984	+	13.4984i	0.490608	+	0.490608i	0.908498	−	0.417889i	$-0.137230\pi$
$757$	13.4984	+	13.4984i	0.490608	+	0.490608i	−0.417889	+	0.908498i	$0.637230\pi$
$758$	6.39900	−	0.969410i	0.232422	−	0.0352106i
$759$	33.0932	−	24.1215i	1.20121	−	0.875557i
$760$	18.5678	+	21.4781i	0.673525	+	0.779093i
$761$	13.5599	−	7.82881i	0.491546	−	0.283794i	−0.233670	−	0.972316i	$-0.575073\pi$
$761$	13.5599	−	7.82881i	0.491546	−	0.283794i	0.725216	+	0.688522i	$0.241740\pi$
$762$	−13.0013	+	12.8671i	−0.470988	+	0.466124i
$763$	−0.635335	+	35.2659i	−0.0230007	+	1.27671i
$764$	24.1127	+	22.3060i	0.872365	+	0.807001i
$765$	5.26752	+	10.2599i	0.190448	+	0.370947i
$766$	−6.34193	−	0.709740i	−0.229143	−	0.0256440i
$767$	11.5031	+	6.64132i	0.415353	+	0.239804i
$768$	−13.8548	+	24.0009i	−0.499941	+	0.866059i
$769$			43.6549i			1.57424i	0.616802	+	0.787118i	$0.288428\pi$
$769$			43.6549i			1.57424i	−0.616802	+	0.787118i	$0.711572\pi$
$770$	23.8571	−	18.3607i	0.859750	−	0.661675i
$771$	−3.33007	−	8.63538i	−0.119930	−	0.310996i
$772$	−0.761911	−	0.172698i	−0.0274218	−	0.00621552i
$773$	39.8268	−	10.6716i	1.43247	−	0.383829i	0.542580	−	0.840004i	$-0.317447\pi$
$773$	39.8268	−	10.6716i	1.43247	−	0.383829i	0.889890	+	0.456175i	$0.150781\pi$
$774$	27.3269	+	4.43048i	0.982246	+	0.159250i
$775$	−3.35411	−	5.80948i	−0.120483	−	0.208683i
$776$	2.64340	−	7.60936i	0.0948926	−	0.273160i
$777$	−20.7903	+	24.8263i	−0.745849	+	0.890637i
$778$	−17.3910	−	6.81041i	−0.623499	−	0.244165i
$779$	−52.8994	−	14.1743i	−1.89532	−	0.507848i
$780$	−15.0755	−	19.0772i	−0.539791	−	0.683074i
$781$	−0.568682	−	2.12235i	−0.0203491	−	0.0759437i
$782$	9.47749	−	12.8617i	0.338914	−	0.459935i
$783$	10.5550	+	31.9818i	0.377205	+	1.14293i
$784$	−27.9756	+	1.16942i	−0.999127	+	0.0417649i
$785$			26.0519i			0.929832i
$786$	−22.0292	+	12.5666i	−0.785756	+	0.448235i
$787$	38.7939	−	10.3948i	1.38285	−	0.370534i	0.510696	−	0.859761i	$-0.329388\pi$
$787$	38.7939	−	10.3948i	1.38285	−	0.370534i	0.872156	+	0.489227i	$0.162721\pi$
$788$	8.84995	+	4.66034i	0.315266	+	0.166018i
$789$	−12.2442	+	15.1680i	−0.435904	+	0.539994i
$790$	−5.51062	+	14.0719i	−0.196059	+	0.500656i
$791$	8.63733	−	30.0584i	0.307108	−	1.06875i
$792$	−16.8426	+	41.7285i	−0.598477	+	1.48276i
$793$	20.3622	−	11.7561i	0.723081	−	0.417471i
$794$	−11.3238	−	14.1777i	−0.401866	−	0.503149i
$795$	−20.5699	−	3.22550i	−0.729538	−	0.114397i
$796$	3.17781	+	0.720295i	0.112635	+	0.0255302i
$797$	−25.0135	+	25.0135i	−0.886024	+	0.886024i	−0.994138	−	0.108115i	$-0.965519\pi$
$797$	−25.0135	+	25.0135i	−0.886024	+	0.886024i	0.108115	+	0.994138i	$0.465519\pi$
$798$	−10.1339	−	41.6638i	−0.358735	−	1.47488i
$799$	−10.2674			−0.363233
$800$	8.07221	−	12.9546i	0.285396	−	0.458014i
$801$	8.75176	−	1.88842i	0.309228	−	0.0667240i
$802$	1.58494	−	14.1623i	0.0559662	−	0.500089i
$803$	44.4024	+	11.8976i	1.56693	+	0.419857i
$804$	18.5129	−	7.97949i	0.652901	−	0.281415i
$805$	−17.8926	−	0.322345i	−0.630630	−	0.0113612i
$806$	−15.1464	−	5.93139i	−0.533508	−	0.208924i
$807$	0.931439	+	8.73273i	0.0327882	+	0.307407i
$808$	−10.8802	−	0.790710i	−0.382765	−	0.0278171i
$809$	−24.3664	+	42.2039i	−0.856677	+	1.48381i	0.0184030	+	0.999831i	$0.494142\pi$
$809$	−24.3664	+	42.2039i	−0.856677	+	1.48381i	−0.875080	+	0.483978i	$0.839192\pi$
$810$	0.999576	+	19.2842i	0.0351215	+	0.677578i
$811$	23.5018	−	23.5018i	0.825261	−	0.825261i	−0.161596	−	0.986857i	$-0.551664\pi$
$811$	23.5018	−	23.5018i	0.825261	−	0.825261i	0.986857	+	0.161596i	$0.0516642\pi$
$812$	23.7395	−	24.7525i	0.833092	−	0.868644i
$813$	−11.9609	+	4.61249i	−0.419486	+	0.161767i
$814$	31.4383	−	42.6644i	1.10191	−	1.49539i
$815$	1.57498	−	2.72794i	0.0551691	−	0.0955556i
$816$	−1.36334	+	17.5027i	−0.0477265	+	0.612717i
$817$	37.3882	−	21.5861i	1.30805	−	0.755202i
$818$	8.87907	+	20.3094i	0.310449	+	0.710102i
$819$	7.09761	+	36.0294i	0.248010	+	1.25897i
$820$	−0.976814	−	25.0969i	−0.0341118	−	0.876420i
$821$	40.4105	+	10.8280i	1.41034	+	0.377898i	0.882045	−	0.471165i	$-0.156167\pi$
$821$	40.4105	+	10.8280i	1.41034	+	0.377898i	0.528291	+	0.849064i	$0.322833\pi$
$822$	2.86527	+	10.9197i	0.0999379	+	0.380869i
$823$	30.6485	+	17.6949i	1.06834	+	0.616805i	0.927727	−	0.373260i	$-0.121760\pi$
$823$	30.6485	+	17.6949i	1.06834	+	0.616805i	0.140611	+	0.990065i	$0.455093\pi$
$824$	−7.52128	−	39.2664i	−0.262016	−	1.36791i
$825$	10.0461	−	22.6576i	0.349759	−	0.788836i
$826$	−6.52719	+	8.53177i	−0.227110	+	0.296858i
$827$	31.4175	−	31.4175i	1.09249	−	1.09249i	0.0972309	−	0.995262i	$-0.469001\pi$
$827$	31.4175	−	31.4175i	1.09249	−	1.09249i	0.995262	−	0.0972309i	$-0.0309985\pi$
$828$	23.3035	−	13.1337i	0.809852	−	0.456427i
$829$	48.3911	−	12.9664i	1.68069	−	0.450341i	0.712732	−	0.701437i	$-0.247458\pi$
$829$	48.3911	−	12.9664i	1.68069	−	0.450341i	0.967962	+	0.251096i	$0.0807911\pi$
$830$	4.35409	+	0.487276i	0.151133	+	0.0169136i
$831$	28.9084	−	3.08339i	1.00282	−	0.106962i
$832$	−4.30975	−	36.7604i	−0.149414	−	1.27444i
$833$	−15.6707	+	8.30977i	−0.542959	+	0.287916i
$834$	0.0441224	−	8.50178i	0.00152783	−	0.294393i
$835$	−12.2620	−	3.28558i	−0.424342	−	0.113702i
$836$	20.7853	+	67.0266i	0.718874	+	2.31816i
$837$	7.08571	+	10.8015i	0.244918	+	0.373355i
$838$	−5.24646	−	34.6315i	−0.181236	−	1.19632i
$839$			36.1456i			1.24788i	0.781470	+	0.623942i	$0.214470\pi$
$839$			36.1456i			1.24788i	−0.781470	+	0.623942i	$0.785530\pi$
$840$	16.8734	−	10.0983i	0.582189	−	0.348426i
$841$			13.0089i			0.448584i
$842$	9.49440	−	1.43834i	0.327199	−	0.0495686i
$843$	−8.81544	−	1.38232i	−0.303620	−	0.0476097i
$844$	−32.9374	−	17.3447i	−1.13375	−	0.597029i
$845$	12.3166	+	3.30023i	0.423705	+	0.113532i
$846$	−15.6790	−	7.04943i	−0.539055	−	0.242364i
$847$	43.9666	−	10.9359i	1.51071	−	0.375763i
$848$	−24.0853	−	20.6014i	−0.827092	−	0.707456i
$849$	−4.21286	−	39.4978i	−0.144585	−	1.35556i
$850$	1.07541	−	9.60940i	0.0368863	−	0.329600i
$851$	−30.4300	+	8.15370i	−1.04313	+	0.279505i
$852$	−0.207610	−	1.42014i	−0.00711260	−	0.0486534i
$853$	32.0271	−	32.0271i	1.09659	−	1.09659i	0.101782	−	0.994807i	$-0.467546\pi$
$853$	32.0271	−	32.0271i	1.09659	−	1.09659i	0.994807	−	0.101782i	$-0.0324544\pi$
$854$	7.30208	+	17.5573i	0.249872	+	0.600800i
$855$	20.2187	+	22.3167i	0.691467	+	0.763214i
$856$	−43.9034	−	29.7881i	−1.50059	−	1.01814i
$857$	−11.3932	−	6.57784i	−0.389183	−	0.224695i	0.292623	−	0.956228i	$-0.405472\pi$
$857$	−11.3932	−	6.57784i	−0.389183	−	0.224695i	−0.681806	+	0.731533i	$0.738805\pi$
$858$	−15.2534	−	58.1315i	−0.520742	−	1.98458i
$859$	51.2656	+	13.7366i	1.74916	+	0.468686i	0.984446	−	0.175687i	$-0.0562145\pi$
$859$	51.2656	+	13.7366i	1.74916	+	0.468686i	0.764712	+	0.644372i	$0.222881\pi$
$860$	14.5340	+	13.4450i	0.495605	+	0.458470i
$861$	−15.9969	+	34.3934i	−0.545174	+	1.17212i
$862$	17.4273	−	7.61903i	0.593575	−	0.259505i
$863$	30.7050	−	17.7275i	1.04521	−	0.603452i	0.123905	−	0.992294i	$-0.460458\pi$
$863$	30.7050	−	17.7275i	1.04521	−	0.603452i	0.921304	+	0.388842i	$0.127125\pi$
$864$	−14.0990	+	25.7918i	−0.479659	+	0.877455i
$865$	7.18813	−	12.4502i	0.244404	−	0.423319i
$866$	−3.66654	−	2.70178i	−0.124594	−	0.0918102i
$867$	−6.59289	−	17.0964i	−0.223906	−	0.580623i
$868$	6.33824	−	11.5277i	0.215134	−	0.391275i
$869$	−26.4130	+	26.4130i	−0.895998	+	0.895998i
$870$	−6.35470	+	23.2331i	−0.215444	+	0.787675i
$871$	−13.4621	+	23.3170i	−0.456144	+	0.790065i
$872$	2.73311	−	37.6078i	0.0925549	−	1.27356i
$873$	2.61524	−	8.13399i	0.0885124	−	0.275294i
$874$	15.2112	−	38.8433i	0.514527	−	1.31390i
$875$	−27.0348	+	14.9658i	−0.913943	+	0.505938i
$876$	27.9025	+	11.0941i	0.942738	+	0.374835i
$877$	44.0099	+	11.7924i	1.48611	+	0.398201i	0.908421	−	0.418057i	$-0.137289\pi$
$877$	44.0099	+	11.7924i	1.48611	+	0.398201i	0.577687	+	0.816259i	$0.303956\pi$
$878$	−5.74101	−	0.642490i	−0.193750	−	0.0216830i
$879$	−24.0658	−	33.0168i	−0.811720	−	1.11363i
$880$	−26.5362	+	18.2091i	−0.894537	+	0.613830i
$881$	−26.0874			−0.878907			−0.439454	−	0.898265i	$-0.644828\pi$
$881$	−26.0874			−0.878907			−0.439454	+	0.898265i	$0.644828\pi$
$882$	−29.6357	+	1.93029i	−0.997886	+	0.0649961i
$883$	−16.4153	+	16.4153i	−0.552417	+	0.552417i	−0.927138	−	0.374721i	$-0.877739\pi$
$883$	−16.4153	+	16.4153i	−0.552417	+	0.552417i	0.374721	+	0.927138i	$0.377739\pi$
$884$	−12.5042	−	19.8342i	−0.420563	−	0.667095i
$885$	1.16871	−	7.45320i	0.0392859	−	0.250537i
$886$	−38.8293	+	31.0131i	−1.30450	+	1.04190i
$887$	−35.2797	+	20.3687i	−1.18458	+	0.683916i	−0.957069	−	0.289861i	$-0.906391\pi$
$887$	−35.2797	+	20.3687i	−1.18458	+	0.683916i	−0.227508	+	0.973776i	$0.573058\pi$
$888$	23.6394	−	25.2895i	0.793285	−	0.848660i
$889$	18.9891	+	5.45656i	0.636875	+	0.183007i
$890$	5.96233	+	2.33488i	0.199858	+	0.0782653i
$891$	−16.8299	+	44.6633i	−0.563822	+	1.49628i
$892$	7.05578	−	2.18803i	0.236245	−	0.0732607i
$893$	−25.8952	+	6.93861i	−0.866551	+	0.232192i
$894$	22.7883	−	12.9996i	0.762155	−	0.434772i
$895$		−	9.94497i		−	0.332424i
$896$	29.9308	+	0.381816i	0.999919	+	0.0127556i
$897$	−14.4808	+	32.6595i	−0.483499	+	1.09047i
$898$	17.1312	+	12.6235i	0.571675	+	0.421252i
$899$	4.17049	+	15.5645i	0.139094	+	0.519105i
$900$	8.23991	−	13.9359i	0.274664	−	0.464529i
$901$	−19.3937	−	5.19653i	−0.646098	−	0.173121i
$902$	22.6367	−	57.8049i	0.753719	−	1.92469i
$903$	−10.2545	−	28.0886i	−0.341250	−	0.934728i
$904$	−10.9714	+	31.5827i	−0.364905	+	1.05042i
$905$	5.18250	+	8.97635i	0.172272	+	0.298384i
$906$	12.7838	−	3.35439i	0.424713	−	0.111442i
$907$	−30.6176	+	8.20395i	−1.01664	+	0.272408i	−0.728401	−	0.685151i	$-0.759736\pi$
$907$	−30.6176	+	8.20395i	−1.01664	+	0.272408i	−0.288238	+	0.957559i	$0.593070\pi$
$908$	44.0874	−	27.7944i	1.46309	−	0.922391i
$909$	−11.5566	−	0.569989i	−0.383308	−	0.0189054i
$910$	−10.0155	+	24.2783i	−0.332012	+	0.804818i
$911$		−	7.78320i		−	0.257869i	−0.991653	−	0.128934i	$-0.958844\pi$
$911$		−	7.78320i		−	0.257869i	0.991653	−	0.128934i	$-0.0411557\pi$
$912$	8.38972	+	45.0648i	0.277811	+	1.49224i
$913$	9.37840	+	5.41462i	0.310380	+	0.179198i
$914$	4.48790	−	40.1019i	0.148446	−	1.32645i
$915$	−10.3913	−	8.38824i	−0.343525	−	0.277307i
$916$	−0.716773	−	18.4157i	−0.0236828	−	0.608473i
$917$	23.4729	+	14.1219i	0.775145	+	0.466345i
$918$	−1.01379	+	18.5930i	−0.0334600	+	0.613662i
$919$	18.6879	−	10.7895i	0.616458	−	0.355912i	−0.159031	−	0.987274i	$-0.550837\pi$
$919$	18.6879	−	10.7895i	0.616458	−	0.355912i	0.775489	+	0.631361i	$0.217504\pi$
$920$	19.0807	+	1.38668i	0.629074	+	0.0457173i
$921$	−18.4564	−	25.3210i	−0.608160	−	0.834357i
$922$	6.04351	+	39.8927i	0.199032	+	1.31380i
$923$	1.35542	+	1.35542i	0.0446141	+	0.0446141i
$924$	48.2125	−	6.16334i	1.58607	−	0.202759i
$925$	−13.4823	+	13.4823i	−0.443294	+	0.443294i
$926$	−18.4439	+	25.0299i	−0.606103	+	0.822533i
$927$	−8.94423	−	41.4514i	−0.293767	−	1.36144i
$928$	−26.7831	+	25.0390i	−0.879200	+	0.821944i
$929$	8.61641	+	14.9241i	0.282695	+	0.489643i	0.972048	−	0.234783i	$-0.0754381\pi$
$929$	8.61641	+	14.9241i	0.282695	+	0.489643i	−0.689352	+	0.724426i	$0.742105\pi$
$930$	−0.0479475	+	9.23883i	−0.00157226	+	0.302953i
$931$	−33.9074	+	31.5482i	−1.11127	+	1.03395i
$932$	−20.2711	+	21.9130i	−0.664002	+	0.717783i
$933$	6.98507	+	5.63862i	0.228681	+	0.184600i
$934$	−6.72006	+	5.36733i	−0.219887	+	0.175625i
$935$	−10.1938	+	17.6561i	−0.333372	+	0.577417i
$936$	−5.47697	−	38.8734i	−0.179020	−	1.27062i
$937$	−5.43749			−0.177635			−0.0888175	−	0.996048i	$-0.528309\pi$
$937$	−5.43749			−0.177635			−0.0888175	+	0.996048i	$0.528309\pi$
$938$	−17.2940	−	13.2307i	−0.564670	−	0.431998i
$939$	−12.4568	−	32.3024i	−0.406512	−	1.05415i
$940$	−6.55680	−	10.4004i	−0.213859	−	0.339223i
$941$	5.47648	+	20.4385i	0.178528	+	0.666276i	0.995924	+	0.0901991i	$0.0287503\pi$
$941$	5.47648	+	20.4385i	0.178528	+	0.666276i	−0.817396	+	0.576077i	$0.804583\pi$
$942$	−21.2197	+	36.3170i	−0.691375	+	1.18327i
$943$	−31.9587	+	18.4514i	−1.04072	+	0.600860i
$944$	7.46463	−	8.72695i	0.242953	−	0.284038i
$945$	17.6430	−	11.1243i	0.573926	−	0.361875i
$946$	19.6035	+	44.8397i	0.637364	+	1.45787i
$947$	−0.351747	+	1.31274i	−0.0114302	+	0.0426582i	−0.971405	−	0.237427i	$-0.923696\pi$
$947$	−0.351747	+	1.31274i	−0.0114302	+	0.0426582i	0.959975	+	0.280085i	$0.0903627\pi$
$948$	−19.1437	+	15.1281i	−0.621759	+	0.491338i
$949$	−38.7366	+	10.3794i	−1.25744	+	0.336931i
$950$	−3.78168	−	24.9626i	−0.122694	−	0.809892i
$951$	18.7705	−	42.3344i	0.608674	−	1.37279i
$952$	17.2120	−	7.95719i	0.557845	−	0.257894i
$953$	−33.5880			−1.08802			−0.544011	−	0.839078i	$-0.683095\pi$
$953$	−33.5880			−1.08802			−0.544011	+	0.839078i	$0.683095\pi$
$954$	−26.0477	−	21.2509i	−0.843325	−	0.688024i
$955$	6.44910	+	24.0684i	0.208688	+	0.778834i
$956$	5.28818	−	1.63989i	0.171032	−	0.0530378i
$957$	−37.3952	+	46.3249i	−1.20882	+	1.49747i
$958$	−22.2148	−	50.8127i	−0.717728	−	1.64168i
$959$	8.77632	−	8.46569i	0.283402	−	0.273371i
$960$	−18.6001	+	9.79633i	−0.600315	+	0.316175i
$961$	−12.4096	−	21.4941i	−0.400311	−	0.693358i
$962$	−5.14205	+	45.9471i	−0.165786	+	1.48139i
$963$	−47.2890	−	30.5033i	−1.52387	−	0.982954i
$964$	−8.86395	+	39.1062i	−0.285489	+	1.25953i
$965$	−0.419050	−	0.419050i	−0.0134897	−	0.0134897i
$966$	−24.6801	−	15.0231i	−0.794070	−	0.483362i
$967$			22.9120i			0.736802i	0.929667	+	0.368401i	$0.120095\pi$
$967$			22.9120i			0.736802i	−0.929667	+	0.368401i	$0.879905\pi$
$968$	−47.5696	+	9.11173i	−1.52895	+	0.292862i
$969$	17.1045	+	23.4663i	0.549477	+	0.753847i
$970$	4.77462	−	3.81350i	0.153304	−	0.122444i
$971$	−6.89431	+	25.7299i	−0.221249	+	0.825712i	0.762624	+	0.646842i	$0.223911\pi$
$971$	−6.89431	+	25.7299i	−0.221249	+	0.825712i	−0.983873	+	0.178870i	$0.942756\pi$
$972$	−14.3138	+	27.6968i	−0.459117	+	0.888376i
$973$	−8.03421	+	4.44755i	−0.257565	+	0.142582i
$974$	−22.6020	+	9.88135i	−0.724213	+	0.316619i
$975$	2.29324	+	21.5003i	0.0734424	+	0.688561i
$976$	−6.77159	−	19.1672i	−0.216753	−	0.613526i
$977$	10.6027	+	6.12145i	0.339209	+	0.195843i	0.659922	−	0.751334i	$-0.270589\pi$
$977$	10.6027	+	6.12145i	0.339209	+	0.195843i	−0.320713	+	0.947176i	$0.603922\pi$
$978$	4.41751	−	2.51997i	0.141256	−	0.0805799i
$979$	11.1913	+	11.1913i	0.357676	+	0.357676i
$980$	−18.4248	−	10.5671i	−0.588560	−	0.337553i
$981$	1.97018	−	39.9457i	0.0629032	−	1.27537i
$982$	8.56356	+	56.5274i	0.273274	+	1.80386i
$983$	13.8071	+	7.97152i	0.440377	+	0.254252i	0.703758	−	0.710440i	$-0.251504\pi$
$983$	13.8071	+	7.97152i	0.440377	+	0.254252i	−0.263380	+	0.964692i	$0.584837\pi$
$984$	19.0801	−	35.7813i	0.608251	−	1.14067i
$985$	3.79362	+	6.57075i	0.120875	+	0.209362i
$986$	−8.46935	+	21.6273i	−0.269719	+	0.688754i
$987$	1.63643	+	18.4960i	0.0520882	+	0.588734i
$988$	−44.9406	−	41.5733i	−1.42975	−	1.32262i
$989$	7.52927	−	28.0996i	0.239417	−	0.893515i
$990$	−27.6890	+	19.9632i	−0.880015	+	0.634473i
$991$	1.99148	−	3.44935i	0.0632616	−	0.109572i	−0.832660	−	0.553785i	$-0.813183\pi$
$991$	1.99148	−	3.44935i	0.0632616	−	0.109572i	0.895922	+	0.444212i	$0.146516\pi$
$992$	−7.43750	+	11.9360i	−0.236141	+	0.378968i
$993$	−14.0055	+	31.5876i	−0.444451	+	1.00240i
$994$	−1.22853	+	0.945491i	−0.0389665	+	0.0299891i
$995$	1.74779	+	1.74779i	0.0554087	+	0.0554087i
$996$	5.67281	+	4.22575i	0.179750	+	0.133898i
$997$	−15.0035	−	55.9940i	−0.475167	−	1.77335i	−0.620759	−	0.784002i	$-0.713175\pi$
$997$	−15.0035	−	55.9940i	−0.475167	−	1.77335i	0.145592	−	0.989345i	$-0.453491\pi$
$998$	9.00233	−	7.19019i	0.284964	−	0.227601i
$999$	24.4425	−	27.3996i	0.773328	−	0.866884i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.101.19	yes	240
3.2	odd	2	inner	336.2.bo.a.101.42	yes	240
7.5	odd	6	inner	336.2.bo.a.5.59	yes	240
16.13	even	4	inner	336.2.bo.a.269.2	yes	240
21.5	even	6	inner	336.2.bo.a.5.2	✓	240
48.29	odd	4	inner	336.2.bo.a.269.59	yes	240
112.61	odd	12	inner	336.2.bo.a.173.42	yes	240
336.173	even	12	inner	336.2.bo.a.173.19	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.2	✓	240	21.5	even	6	inner
336.2.bo.a.5.59	yes	240	7.5	odd	6	inner
336.2.bo.a.101.19	yes	240	1.1	even	1	trivial
336.2.bo.a.101.42	yes	240	3.2	odd	2	inner
336.2.bo.a.173.19	yes	240	336.173	even	12	inner
336.2.bo.a.173.42	yes	240	112.61	odd	12	inner
336.2.bo.a.269.2	yes	240	16.13	even	4	inner
336.2.bo.a.269.59	yes	240	48.29	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.838934 + 1.13850i) q^{2} +(-1.71114 - 0.268319i) q^{3} +(-0.592381 - 1.91026i) q^{4} +(0.392666 - 1.46545i) q^{5} +(1.74102 - 1.72304i) q^{6} +(-2.54285 - 0.730693i) q^{7} +(2.67180 + 0.928152i) q^{8} +(2.85601 + 0.918264i) q^{9} +O(q^{10})\)	\(q+(-0.838934 + 1.13850i) q^{2} +(-1.71114 - 0.268319i) q^{3} +(-0.592381 - 1.91026i) q^{4} +(0.392666 - 1.46545i) q^{5} +(1.74102 - 1.72304i) q^{6} +(-2.54285 - 0.730693i) q^{7} +(2.67180 + 0.928152i) q^{8} +(2.85601 + 0.918264i) q^{9} +(1.33900 + 1.67647i) q^{10} +(1.37257 + 5.12252i) q^{11} +(0.501088 + 3.42767i) q^{12} +(-3.27144 - 3.27144i) q^{13} +(2.96518 - 2.28204i) q^{14} +(-1.06511 + 2.40223i) q^{15} +(-3.29817 + 2.26320i) q^{16} +(-1.26697 + 2.19446i) q^{17} +(-3.44145 + 2.48121i) q^{18} +(-1.71242 + 6.39086i) q^{19} +(-3.03199 + 0.118010i) q^{20} +(4.15512 + 1.93261i) q^{21} +(-6.98350 - 2.73477i) q^{22} +(2.22914 + 3.86099i) q^{23} +(-4.32279 - 2.30510i) q^{24} +(2.33677 + 1.34914i) q^{25} +(6.46908 - 0.980026i) q^{26} +(-4.64065 - 2.33760i) q^{27} +(0.110524 + 5.29035i) q^{28} +(-4.58306 - 4.58306i) q^{29} +(-1.84139 - 3.22795i) q^{30} +(-2.15304 - 1.24306i) q^{31} +(0.190286 - 5.65365i) q^{32} +(-0.974200 - 9.13364i) q^{33} +(-1.43550 - 3.28347i) q^{34} +(-2.06928 + 3.43950i) q^{35} +(0.0622757 - 5.99968i) q^{36} +(-1.82889 + 6.82551i) q^{37} +(-5.83940 - 7.31111i) q^{38} +(4.72011 + 6.47569i) q^{39} +(2.40928 - 3.55094i) q^{40} +8.27735i q^{41} +(-5.68616 + 3.10928i) q^{42} +(-4.61396 - 4.61396i) q^{43} +(8.97224 - 5.65645i) q^{44} +(2.46712 - 3.82476i) q^{45} +(-6.26585 - 0.701226i) q^{46} +(2.02596 + 3.50907i) q^{47} +(6.25090 - 2.98769i) q^{48} +(5.93218 + 3.71608i) q^{49} +(-3.49640 + 1.52859i) q^{50} +(2.75679 - 3.41509i) q^{51} +(-4.31136 + 8.18724i) q^{52} +(2.05076 + 7.65355i) q^{53} +(6.55456 - 3.32230i) q^{54} +8.04575 q^{55} +(-6.11580 - 4.31242i) q^{56} +(4.64499 - 10.4762i) q^{57} +(9.06272 - 1.37295i) q^{58} +(-2.77315 + 0.743064i) q^{59} +(5.21983 + 0.611609i) q^{60} +(-1.31533 + 4.90888i) q^{61} +(3.22148 - 1.40840i) q^{62} +(-6.59144 - 4.42187i) q^{63} +(6.27707 + 4.95968i) q^{64} +(-6.07872 + 3.50955i) q^{65} +(11.2160 + 6.55339i) q^{66} +(-1.50620 - 5.62122i) q^{67} +(4.94253 + 1.12029i) q^{68} +(-2.77840 - 7.20481i) q^{69} +(-2.17989 - 5.24140i) q^{70} -0.414318 q^{71} +(6.77841 + 5.10423i) q^{72} +(4.33404 - 7.50678i) q^{73} +(-6.23655 - 7.80835i) q^{74} +(-3.63655 - 2.93557i) q^{75} +(13.2226 - 0.514646i) q^{76} +(0.252735 - 14.0287i) q^{77} +(-11.3325 - 0.0588130i) q^{78} +(3.52178 + 6.09991i) q^{79} +(2.02152 + 5.72198i) q^{80} +(7.31358 + 5.24514i) q^{81} +(-9.42379 - 6.94415i) q^{82} +(1.44392 - 1.44392i) q^{83} +(1.23038 - 9.08219i) q^{84} +(2.71838 + 2.71838i) q^{85} +(9.12382 - 1.38220i) q^{86} +(6.61255 + 9.07199i) q^{87} +(-1.08723 + 14.9603i) q^{88} +(2.58456 - 1.49220i) q^{89} +(2.28475 + 6.01755i) q^{90} +(5.92837 + 10.7092i) q^{91} +(6.05498 - 6.54541i) q^{92} +(3.35061 + 2.70474i) q^{93} +(-5.69473 - 0.637311i) q^{94} +(8.69306 + 5.01894i) q^{95} +(-1.84259 + 9.62314i) q^{96} -2.84803i q^{97} +(-9.20748 + 3.63625i) q^{98} +(-0.783736 + 15.8903i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

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