LMFDB - Embedded newform 861.2.bs.a.208.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [861,2,Mod(178,861)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(861, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([0, 4, 15]))

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

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

chi := DirichletCharacter("861.178");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 861 = 3 \cdot 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	861.bs (of order $24$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.87511961403$
Analytic rank:	$0$
Dimension:	$448$
Relative dimension:	$56$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			208.19
Character	$\chi$	$=$	861.208
Dual form			861.2.bs.a.178.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.290665 - 1.08478i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(0.639799 - 0.369388i) q^{4} +(0.501991 + 1.87345i) q^{5} +(-1.03756 + 0.429770i) q^{6} +(2.20989 - 1.45478i) q^{7} +(-2.17489 - 2.17489i) q^{8} +(-0.965926 + 0.258819i) q^{9} +O(q^{10})$	\(q+(-0.290665 - 1.08478i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(0.639799 - 0.369388i) q^{4} +(0.501991 + 1.87345i) q^{5} +(-1.03756 + 0.429770i) q^{6} +(2.20989 - 1.45478i) q^{7} +(-2.17489 - 2.17489i) q^{8} +(-0.965926 + 0.258819i) q^{9} +(1.88637 - 1.08909i) q^{10} +(0.134861 + 1.02437i) q^{11} +(-0.449739 - 0.586111i) q^{12} +(-4.60410 - 1.90708i) q^{13} +(-2.22044 - 1.97438i) q^{14} +(1.79190 - 0.742231i) q^{15} +(-0.988328 + 1.71183i) q^{16} +(1.73291 + 1.32971i) q^{17} +(0.561521 + 0.972583i) q^{18} +(0.829818 - 6.30309i) q^{19} +(1.01321 + 1.01321i) q^{20} +(-1.73078 - 2.00110i) q^{21} +(1.07201 - 0.444042i) q^{22} +(-2.32754 - 1.34381i) q^{23} +(-1.87240 + 2.44017i) q^{24} +(1.07229 - 0.619086i) q^{25} +(-0.730504 + 5.54873i) q^{26} +(0.382683 + 0.923880i) q^{27} +(0.876509 - 1.74707i) q^{28} +(2.86481 - 6.91626i) q^{29} +(-1.32600 - 1.72807i) q^{30} +(-1.12183 - 1.94307i) q^{31} +(-3.79769 - 1.01759i) q^{32} +(0.998003 - 0.267414i) q^{33} +(0.938741 - 2.26632i) q^{34} +(3.83481 + 3.40985i) q^{35} +(-0.522394 + 0.522394i) q^{36} +(-0.323878 + 0.560974i) q^{37} +(-7.07864 + 0.931920i) q^{38} +(-1.28981 + 4.81363i) q^{39} +(2.98279 - 5.16634i) q^{40} +(4.98187 - 4.02256i) q^{41} +(-1.66767 + 2.45916i) q^{42} +(6.45467 - 6.45467i) q^{43} +(0.464674 + 0.605575i) q^{44} +(-0.969772 - 1.67969i) q^{45} +(-0.781195 + 2.91546i) q^{46} +(-1.65414 + 12.5644i) q^{47} +(1.82619 + 0.756433i) q^{48} +(2.76724 - 6.42980i) q^{49} +(-0.983245 - 0.983245i) q^{50} +(1.09214 - 1.89165i) q^{51} +(-3.65015 + 0.480551i) q^{52} +(-0.211019 - 1.60285i) q^{53} +(0.890969 - 0.683665i) q^{54} +(-1.85141 + 0.766880i) q^{55} +(-7.97026 - 1.64229i) q^{56} -6.35748 q^{57} +(-8.33529 - 1.09736i) q^{58} +(10.0737 - 5.81607i) q^{59} +(0.872288 - 1.13679i) q^{60} +(-13.6089 + 3.64649i) q^{61} +(-1.78172 + 1.78172i) q^{62} +(-1.75807 + 1.97717i) q^{63} +8.36873i q^{64} +(1.26161 - 9.58290i) q^{65} +(-0.580168 - 1.00488i) q^{66} +(-0.582016 + 0.758499i) q^{67} +(1.59990 + 0.210630i) q^{68} +(-1.02851 + 2.48303i) q^{69} +(2.58427 - 5.15103i) q^{70} +(-3.54443 + 8.55701i) q^{71} +(2.66369 + 1.53788i) q^{72} +(-1.29425 + 4.83019i) q^{73} +(0.702670 + 0.188280i) q^{74} +(-0.753751 - 0.982308i) q^{75} +(-1.79737 - 4.33924i) q^{76} +(1.78826 + 2.06755i) q^{77} +5.59661 q^{78} +(6.16823 - 4.73305i) q^{79} +(-3.70318 - 0.992263i) q^{80} +(0.866025 - 0.500000i) q^{81} +(-5.81163 - 4.23499i) q^{82} +15.4588i q^{83} +(-1.84654 - 0.640971i) q^{84} +(-1.62125 + 3.91404i) q^{85} +(-8.87801 - 5.12572i) q^{86} +(-7.23103 - 1.93755i) q^{87} +(1.93458 - 2.52120i) q^{88} +(-5.89572 + 4.52395i) q^{89} +(-1.54021 + 1.54021i) q^{90} +(-12.9489 + 2.48350i) q^{91} -1.98555 q^{92} +(-1.78002 + 1.36586i) q^{93} +(14.1104 - 1.85767i) q^{94} +(12.2251 - 1.60947i) q^{95} +(-0.513184 + 3.89802i) q^{96} +(3.49953 + 8.44862i) q^{97} +(-7.77923 - 1.13292i) q^{98} +(-0.395392 - 0.954560i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 448 q+O(q^{10}) $ 448 * q	$ 448 q - 8 q^{14} + 224 q^{16} - 48 q^{19} + 80 q^{22} + 72 q^{24} + 48 q^{26} - 64 q^{29} + 16 q^{30} + 40 q^{32} - 80 q^{35} - 48 q^{37} + 72 q^{38} - 64 q^{42} + 64 q^{43} - 48 q^{44} + 24 q^{46} - 48 q^{47} + 80 q^{49} - 128 q^{50} - 72 q^{52} + 16 q^{53} - 112 q^{56} - 8 q^{58} + 64 q^{65} - 32 q^{67} + 144 q^{68} + 40 q^{70} - 32 q^{71} + 72 q^{73} - 56 q^{74} - 96 q^{75} + 192 q^{77} - 96 q^{78} + 8 q^{79} - 72 q^{80} - 144 q^{82} - 32 q^{85} + 88 q^{88} - 96 q^{89} + 48 q^{91} - 216 q^{94} - 64 q^{95} - 120 q^{96} + 240 q^{98} + 32 q^{99}+O(q^{100}) $ 448 * q - 8 * q^14 + 224 * q^16 - 48 * q^19 + 80 * q^22 + 72 * q^24 + 48 * q^26 - 64 * q^29 + 16 * q^30 + 40 * q^32 - 80 * q^35 - 48 * q^37 + 72 * q^38 - 64 * q^42 + 64 * q^43 - 48 * q^44 + 24 * q^46 - 48 * q^47 + 80 * q^49 - 128 * q^50 - 72 * q^52 + 16 * q^53 - 112 * q^56 - 8 * q^58 + 64 * q^65 - 32 * q^67 + 144 * q^68 + 40 * q^70 - 32 * q^71 + 72 * q^73 - 56 * q^74 - 96 * q^75 + 192 * q^77 - 96 * q^78 + 8 * q^79 - 72 * q^80 - 144 * q^82 - 32 * q^85 + 88 * q^88 - 96 * q^89 + 48 * q^91 - 216 * q^94 - 64 * q^95 - 120 * q^96 + 240 * q^98 + 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/861\mathbb{Z}\right)^\times$.

$n$	$211$	$493$	$575$
$\chi(n)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{6}\right)$	$1$

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 $

$2$	−0.290665	−	1.08478i	−0.205531	−	0.767052i	−0.989287	−	0.145983i	$-0.953365\pi$
$2$	−0.290665	−	1.08478i	−0.205531	−	0.767052i	0.783756	−	0.621069i	$-0.213301\pi$
$3$	−0.130526	−	0.991445i	−0.0753593	−	0.572411i
$3$	−0.130526	−	0.991445i	−0.0753593	−	0.572411i
$4$	0.639799	−	0.369388i	0.319900	−	0.184694i
$5$	0.501991	+	1.87345i	0.224497	+	0.837835i	0.982605	+	0.185706i	$0.0594572\pi$
$5$	0.501991	+	1.87345i	0.224497	+	0.837835i	−0.758108	+	0.652129i	$0.773876\pi$
$6$	−1.03756	+	0.429770i	−0.423580	+	0.175453i
$7$	2.20989	−	1.45478i	0.835260	−	0.549855i
$7$	2.20989	−	1.45478i	0.835260	−	0.549855i
$8$	−2.17489	−	2.17489i	−0.768940	−	0.768940i
$9$	−0.965926	+	0.258819i	−0.321975	+	0.0862730i
$10$	1.88637	−	1.08909i	0.596522	−	0.344402i
$11$	0.134861	+	1.02437i	0.0406621	+	0.308859i	0.999675	+	0.0254964i	$0.00811664\pi$
$11$	0.134861	+	1.02437i	0.0406621	+	0.308859i	−0.959013	+	0.283363i	$0.908550\pi$
$12$	−0.449739	−	0.586111i	−0.129828	−	0.169196i
$13$	−4.60410	−	1.90708i	−1.27695	−	0.528929i	−0.361877	−	0.932226i	$-0.617864\pi$
$13$	−4.60410	−	1.90708i	−1.27695	−	0.528929i	−0.915069	+	0.403297i	$0.867864\pi$
$14$	−2.22044	−	1.97438i	−0.593439	−	0.527676i
$15$	1.79190	−	0.742231i	0.462668	−	0.191643i
$16$	−0.988328	+	1.71183i	−0.247082	+	0.427959i
$17$	1.73291	+	1.32971i	0.420293	+	0.322502i	0.797163	−	0.603764i	$-0.206333\pi$
$17$	1.73291	+	1.32971i	0.420293	+	0.322502i	−0.376870	+	0.926266i	$0.623000\pi$
$18$	0.561521	+	0.972583i	0.132352	+	0.229240i
$19$	0.829818	−	6.30309i	0.190373	−	1.44603i	−0.583204	−	0.812326i	$-0.698201\pi$
$19$	0.829818	−	6.30309i	0.190373	−	1.44603i	0.773577	−	0.633702i	$-0.218466\pi$
$20$	1.01321	+	1.01321i	0.226560	+	0.226560i
$21$	−1.73078	−	2.00110i	−0.377687	−	0.436676i
$22$	1.07201	−	0.444042i	0.228554	−	0.0946700i
$23$	−2.32754	−	1.34381i	−0.485326	−	0.280203i	0.237307	−	0.971435i	$-0.423735\pi$
$23$	−2.32754	−	1.34381i	−0.485326	−	0.280203i	−0.722633	+	0.691231i	$0.757069\pi$
$24$	−1.87240	+	2.44017i	−0.382203	+	0.498097i
$25$	1.07229	−	0.619086i	0.214458	−	0.123817i
$26$	−0.730504	+	5.54873i	−0.143264	+	1.08820i
$27$	0.382683	+	0.923880i	0.0736475	+	0.177801i
$28$	0.876509	−	1.74707i	0.165645	−	0.330166i
$29$	2.86481	−	6.91626i	0.531982	−	1.28432i	−0.398227	−	0.917287i	$-0.630374\pi$
$29$	2.86481	−	6.91626i	0.531982	−	1.28432i	0.930209	−	0.367031i	$-0.119626\pi$
$30$	−1.32600	−	1.72807i	−0.242093	−	0.315502i
$31$	−1.12183	−	1.94307i	−0.201487	−	0.348986i	0.747521	−	0.664239i	$-0.231244\pi$
$31$	−1.12183	−	1.94307i	−0.201487	−	0.348986i	−0.949008	+	0.315252i	$0.897911\pi$
$32$	−3.79769	−	1.01759i	−0.671343	−	0.179886i
$33$	0.998003	−	0.267414i	0.173730	−	0.0465508i
$34$	0.938741	−	2.26632i	0.160993	−	0.388671i
$35$	3.83481	+	3.40985i	0.648201	+	0.576369i
$36$	−0.522394	+	0.522394i	−0.0870657	+	0.0870657i
$37$	−0.323878	+	0.560974i	−0.0532453	+	0.0922235i	−0.891420	−	0.453179i	$-0.850290\pi$
$37$	−0.323878	+	0.560974i	−0.0532453	+	0.0922235i	0.838174	+	0.545402i	$0.183623\pi$
$38$	−7.07864	+	0.931920i	−1.14831	+	0.151177i
$39$	−1.28981	+	4.81363i	−0.206535	+	0.770798i
$40$	2.98279	−	5.16634i	0.471620	−	0.816870i
$41$	4.98187	−	4.02256i	0.778037	−	0.628219i
$41$	4.98187	−	4.02256i	0.778037	−	0.628219i
$42$	−1.66767	+	2.45916i	−0.257326	+	0.379456i
$43$	6.45467	−	6.45467i	0.984328	−	0.984328i	−0.0155511	−	0.999879i	$-0.504950\pi$
$43$	6.45467	−	6.45467i	0.984328	−	0.984328i	0.999879	+	0.0155511i	$0.00495027\pi$
$44$	0.464674	+	0.605575i	0.0700522	+	0.0912938i
$45$	−0.969772	−	1.67969i	−0.144565	−	0.250394i
$46$	−0.781195	+	2.91546i	−0.115181	+	0.429861i
$47$	−1.65414	+	12.5644i	−0.241281	+	1.83271i	0.257848	+	0.966185i	$0.416987\pi$
$47$	−1.65414	+	12.5644i	−0.241281	+	1.83271i	−0.499130	+	0.866527i	$0.666347\pi$
$48$	1.82619	+	0.756433i	0.263588	+	0.109182i
$49$	2.76724	−	6.42980i	0.395320	−	0.918543i
$50$	−0.983245	−	0.983245i	−0.139052	−	0.139052i
$51$	1.09214	−	1.89165i	0.152931	−	0.264884i
$52$	−3.65015	+	0.480551i	−0.506185	+	0.0666405i
$53$	−0.211019	−	1.60285i	−0.0289857	−	0.220168i	0.970821	−	0.239803i	$-0.0770830\pi$
$53$	−0.211019	−	1.60285i	−0.0289857	−	0.220168i	−0.999807	+	0.0196349i	$0.993750\pi$
$54$	0.890969	−	0.683665i	0.121246	−	0.0930350i
$55$	−1.85141	+	0.766880i	−0.249644	+	0.103406i
$56$	−7.97026	−	1.64229i	−1.06507	−	0.219460i
$57$	−6.35748			−0.842069
$58$	−8.33529	−	1.09736i	−1.09448	−	0.144091i
$59$	10.0737	−	5.81607i	1.31149	−	0.757187i	0.329145	−	0.944280i	$-0.393240\pi$
$59$	10.0737	−	5.81607i	1.31149	−	0.757187i	0.982342	+	0.187092i	$0.0599063\pi$
$60$	0.872288	−	1.13679i	0.112612	−	0.146759i
$61$	−13.6089	+	3.64649i	−1.74244	+	0.466885i	−0.982986	−	0.183678i	$-0.941200\pi$
$61$	−13.6089	+	3.64649i	−1.74244	+	0.466885i	−0.759452	+	0.650563i	$0.774533\pi$
$62$	−1.78172	+	1.78172i	−0.226279	+	0.226279i
$63$	−1.75807	+	1.97717i	−0.221496	+	0.249100i
$64$			8.36873i			1.04609i
$65$	1.26161	−	9.58290i	0.156484	−	1.18861i
$66$	−0.580168	−	1.00488i	−0.0714138	−	0.123692i
$67$	−0.582016	+	0.758499i	−0.0711046	+	0.0926653i	−0.827552	−	0.561390i	$-0.810267\pi$
$67$	−0.582016	+	0.758499i	−0.0711046	+	0.0926653i	0.756447	+	0.654055i	$0.226934\pi$
$68$	1.59990	+	0.210630i	0.194016	+	0.0255427i
$69$	−1.02851	+	2.48303i	−0.123818	+	0.298922i
$70$	2.58427	−	5.15103i	0.308880	−	0.615665i
$71$	−3.54443	+	8.55701i	−0.420646	+	1.01553i	0.561511	+	0.827469i	$0.310220\pi$
$71$	−3.54443	+	8.55701i	−0.420646	+	1.01553i	−0.982157	+	0.188061i	$0.939780\pi$
$72$	2.66369	+	1.53788i	0.313919	+	0.181241i
$73$	−1.29425	+	4.83019i	−0.151480	+	0.565331i	0.847901	+	0.530154i	$0.177866\pi$
$73$	−1.29425	+	4.83019i	−0.151480	+	0.565331i	−0.999381	+	0.0351765i	$0.988801\pi$
$74$	0.702670	+	0.188280i	0.0816838	+	0.0218871i
$75$	−0.753751	−	0.982308i	−0.0870357	−	0.113427i
$76$	−1.79737	−	4.33924i	−0.206173	−	0.497745i
$77$	1.78826	+	2.06755i	0.203791	+	0.235619i
$78$	5.59661			0.633691
$79$	6.16823	−	4.73305i	0.693981	−	0.532510i	−0.200457	−	0.979702i	$-0.564243\pi$
$79$	6.16823	−	4.73305i	0.693981	−	0.532510i	0.894438	+	0.447192i	$0.147576\pi$
$80$	−3.70318	−	0.992263i	−0.414028	−	0.110938i
$81$	0.866025	−	0.500000i	0.0962250	−	0.0555556i
$82$	−5.81163	−	4.23499i	−0.641787	−	0.467676i
$83$			15.4588i			1.69683i	0.529335	+	0.848413i	$0.322441\pi$
$83$			15.4588i			1.69683i	−0.529335	+	0.848413i	$0.677559\pi$
$84$	−1.84654	−	0.640971i	−0.201474	−	0.0699357i
$85$	−1.62125	+	3.91404i	−0.175849	+	0.424537i
$86$	−8.87801	−	5.12572i	−0.957341	−	0.552721i
$87$	−7.23103	−	1.93755i	−0.775247	−	0.207727i
$88$	1.93458	−	2.52120i	0.206227	−	0.268761i
$89$	−5.89572	+	4.52395i	−0.624945	+	0.479538i	−0.872027	−	0.489457i	$-0.837195\pi$
$89$	−5.89572	+	4.52395i	−0.624945	+	0.479538i	0.247082	+	0.968995i	$0.420528\pi$
$90$	−1.54021	+	1.54021i	−0.162353	+	0.162353i
$91$	−12.9489	+	2.48350i	−1.35742	+	0.260342i
$92$	−1.98555			−0.207008
$93$	−1.78002	+	1.36586i	−0.184580	+	0.141633i
$94$	14.1104	−	1.85767i	1.45538	−	0.191604i
$95$	12.2251	−	1.60947i	1.25427	−	0.165128i
$96$	−0.513184	+	3.89802i	−0.0523766	+	0.397840i
$97$	3.49953	+	8.44862i	0.355324	+	0.857828i	0.995944	+	0.0899701i	$0.0286771\pi$
$97$	3.49953	+	8.44862i	0.355324	+	0.857828i	−0.640621	+	0.767858i	$0.721323\pi$
$98$	−7.77923	−	1.13292i	−0.785821	−	0.114442i
$99$	−0.395392	−	0.954560i	−0.0397384	−	0.0959369i
$100$	0.457366	−	0.792182i	0.0457366	−	0.0792182i
$101$	−9.44512	−	7.24750i	−0.939825	−	0.721153i	0.0205722	−	0.999788i	$-0.493451\pi$
$101$	−9.44512	−	7.24750i	−0.939825	−	0.721153i	−0.960397	+	0.278636i	$0.910118\pi$
$102$	−2.36946	−	0.634896i	−0.234612	−	0.0628640i
$103$	4.63586	+	17.3013i	0.456785	+	1.70475i	0.682786	+	0.730618i	$0.260768\pi$
$103$	4.63586	+	17.3013i	0.456785	+	1.70475i	−0.226001	+	0.974127i	$0.572565\pi$
$104$	5.86572	+	14.1611i	0.575181	+	1.38861i
$105$	2.88013	−	4.24707i	0.281072	−	0.414472i
$106$	−1.67740	+	0.694801i	−0.162923	+	0.0674850i
$107$	11.0703	+	6.39145i	1.07021	+	0.617885i	0.928238	−	0.371986i	$-0.121323\pi$
$107$	11.0703	+	6.39145i	1.07021	+	0.617885i	0.141970	+	0.989871i	$0.454656\pi$
$108$	0.586111	+	0.449739i	0.0563985	+	0.0432761i
$109$	−12.2012	−	9.36231i	−1.16866	−	0.896746i	−0.172564	−	0.984998i	$-0.555205\pi$
$109$	−12.2012	−	9.36231i	−1.16866	−	0.896746i	−0.996098	+	0.0882519i	$0.971872\pi$
$110$	1.37003	+	1.78546i	0.130627	+	0.170237i
$111$	0.598449	+	0.247886i	0.0568023	+	0.0235283i
$112$	0.306242	+	5.22077i	0.0289371	+	0.493316i
$113$			1.39503i			0.131234i	0.997845	+	0.0656168i	$0.0209015\pi$
$113$			1.39503i			0.131234i	−0.997845	+	0.0656168i	$0.979098\pi$
$114$	1.84789	+	6.89644i	0.173071	+	0.645910i
$115$	1.34916	−	5.03513i	0.125810	−	0.469528i
$116$	−0.721883	−	5.48325i	−0.0670252	−	0.509107i
$117$	4.94080	+	0.650469i	0.456777	+	0.0601359i
$118$	−9.23720	−	9.23720i	−0.850353	−	0.850353i
$119$	5.76398	+	0.417512i	0.528384	+	0.0382733i
$120$	−5.51147	−	2.28293i	−0.503126	−	0.208402i
$121$	9.59404	−	2.57072i	0.872185	−	0.233701i
$122$	7.91124	+	13.7027i	0.716250	+	1.24058i
$123$	−4.63841	−	4.41419i	−0.418232	−	0.398015i
$124$	−1.43550	−	0.828785i	−0.128911	−	0.0744271i
$125$	8.55543	+	8.55543i	0.765221	+	0.765221i
$126$	2.65579	+	1.33241i	0.236597	+	0.118701i
$127$			0.235723i			0.0209170i	0.999945	+	0.0104585i	$0.00332910\pi$
$127$			0.235723i			0.0209170i	−0.999945	+	0.0104585i	$0.996671\pi$
$128$	1.48281	−	0.397318i	0.131063	−	0.0351183i
$129$	−7.24195	−	5.55695i	−0.637618	−	0.489262i
$130$	−10.7620	+	1.41684i	−0.943890	+	0.124265i
$131$	−1.41708	−	5.28862i	−0.123811	−	0.462069i	0.875984	−	0.482341i	$-0.160213\pi$
$131$	−1.41708	−	5.28862i	−0.123811	−	0.462069i	−0.999794	+	0.0202723i	$0.993547\pi$
$132$	0.539742	−	0.539742i	0.0469785	−	0.0469785i
$133$	−7.33579	−	15.1363i	−0.636094	−	1.31249i
$134$	0.991972	+	0.410888i	0.0856933	+	0.0354953i
$135$	−1.53874	+	1.18072i	−0.132434	+	0.101620i
$136$	−0.876921	−	6.66087i	−0.0751953	−	0.571165i
$137$	1.03145	−	1.34421i	0.0881227	−	0.114844i	−0.747211	−	0.664587i	$-0.768608\pi$
$137$	1.03145	−	1.34421i	0.0881227	−	0.114844i	0.835334	+	0.549743i	$0.185274\pi$
$138$	2.99248	+	0.393968i	0.254737	+	0.0335368i
$139$			1.03910i			0.0881353i	0.999029	+	0.0440677i	$0.0140317\pi$
$139$			1.03910i			0.0881353i	−0.999029	+	0.0440677i	$0.985968\pi$
$140$	3.71306	+	0.765085i	0.313811	+	0.0646615i
$141$	12.6729			1.06725
$142$	10.3127	+	1.35769i	0.865420	+	0.113935i
$143$	1.33264	−	4.97348i	0.111441	−	0.415904i
$144$	0.511596	−	1.90930i	0.0426330	−	0.159109i
$145$	14.3954	+	1.89519i	1.19547	+	0.157387i
$146$	5.61586			0.464772
$147$	−6.73599	−	1.90431i	−0.555575	−	0.157065i
$148$			0.478547i			0.0393363i
$149$	−1.15748	−	0.152385i	−0.0948246	−	0.0124839i	0.0829646	−	0.996552i	$-0.473561\pi$
$149$	−1.15748	−	0.152385i	−0.0948246	−	0.0124839i	−0.177789	+	0.984069i	$0.556895\pi$
$150$	−0.846494	+	1.10317i	−0.0691160	+	0.0900737i
$151$	−1.52906	−	11.6143i	−0.124433	−	0.945162i	−0.933784	−	0.357837i	$-0.883514\pi$
$151$	−1.52906	−	11.6143i	−0.124433	−	0.945162i	0.809351	−	0.587325i	$-0.199819\pi$
$152$	−15.5133	+	11.9038i	−1.25829	+	0.965524i
$153$	−2.01802	−	0.835891i	−0.163147	−	0.0675778i
$154$	1.72305	−	2.54082i	0.138847	−	0.204745i
$155$	3.07711	−	3.07711i	0.247159	−	0.247159i
$156$	0.952880	+	3.55620i	0.0762915	+	0.284724i
$157$	20.8677	−	2.74729i	1.66543	−	0.219257i	0.761871	−	0.647729i	$-0.224281\pi$
$157$	20.8677	−	2.74729i	1.66543	−	0.219257i	0.903555	+	0.428472i	$0.140948\pi$
$158$	−6.92719	−	5.31542i	−0.551097	−	0.422872i
$159$	−1.56159	+	0.418428i	−0.123842	+	0.0331835i
$160$		−	7.62561i		−	0.602858i
$161$	−7.09856	+	0.416390i	−0.559445	+	0.0328161i
$162$	−0.794111	−	0.794111i	−0.0623912	−	0.0623912i
$163$	11.1202	+	6.42024i	0.871000	+	0.502872i	0.867681	−	0.497122i	$-0.165610\pi$
$163$	11.1202	+	6.42024i	0.871000	+	0.502872i	0.00331977	+	0.999994i	$0.498943\pi$
$164$	1.70151	−	4.41388i	0.132865	−	0.344666i
$165$	1.00198	+	1.73547i	0.0780038	+	0.135106i
$166$	16.7693	−	4.49333i	1.30155	−	0.348750i
$167$	−5.69637	−	2.35951i	−0.440798	−	0.182585i	0.151236	−	0.988498i	$-0.451675\pi$
$167$	−5.69637	−	2.35951i	−0.440798	−	0.182585i	−0.592034	+	0.805913i	$0.701675\pi$
$168$	−0.587912	+	8.11643i	−0.0453584	+	0.626197i
$169$	8.36836	+	8.36836i	0.643720	+	0.643720i
$170$	4.71709	+	0.621017i	0.361784	+	0.0476298i
$171$	0.829818	+	6.30309i	0.0634577	+	0.482009i
$172$	1.74541	−	6.51397i	0.133087	−	0.496686i
$173$	3.74512	+	13.9770i	0.284736	+	1.06265i	0.949032	+	0.315180i	$0.102065\pi$
$173$	3.74512	+	13.9770i	0.284736	+	1.06265i	−0.664295	+	0.747470i	$0.731268\pi$
$174$			8.40722i			0.637349i
$175$	1.46901	−	2.92805i	0.111047	−	0.221340i
$176$	−1.88684	−	0.781554i	−0.142226	−	0.0589118i
$177$	−7.08119	−	9.22839i	−0.532255	−	0.693648i
$178$	6.62115	+	5.08058i	0.496276	+	0.380806i
$179$	2.36475	+	1.81454i	0.176750	+	0.135625i	0.693348	−	0.720603i	$-0.256135\pi$
$179$	2.36475	+	1.81454i	0.176750	+	0.135625i	−0.516598	+	0.856228i	$0.672802\pi$
$180$	−1.24092	−	0.716445i	−0.0924926	−	0.0534006i
$181$	20.1392	−	8.34192i	1.49693	−	0.620050i	0.524120	−	0.851644i	$-0.324394\pi$
$181$	20.1392	−	8.34192i	1.49693	−	0.620050i	0.972812	+	0.231595i	$0.0743943\pi$
$182$	6.45784	+	13.3248i	0.478687	+	0.987701i
$183$	5.39161	+	13.0165i	0.398559	+	0.962207i
$184$	2.13952	+	7.98479i	0.157727	+	0.588646i
$185$	−1.21354	−	0.325168i	−0.0892214	−	0.0239068i
$186$	1.99904	+	1.53392i	0.146577	+	0.112472i
$187$	−1.12841	+	1.95447i	−0.0825177	+	0.142925i
$188$	3.58284	+	8.64974i	0.261306	+	0.630847i
$189$	2.18973	+	1.48495i	0.159279	+	0.108015i
$190$	−5.29932	−	12.7937i	−0.384453	−	0.928152i
$191$	−1.15124	+	8.74452i	−0.0833006	+	0.632731i	0.897964	+	0.440068i	$0.145046\pi$
$191$	−1.15124	+	8.74452i	−0.0833006	+	0.632731i	−0.981265	+	0.192663i	$0.938288\pi$
$192$	8.29713	−	1.09234i	0.598794	−	0.0788327i
$193$	−0.638944	+	0.0841186i	−0.0459922	+	0.00605499i	−0.153487	−	0.988151i	$-0.549050\pi$
$193$	−0.638944	+	0.0841186i	−0.0459922	+	0.00605499i	0.107495	+	0.994206i	$0.465717\pi$
$194$	8.14767	−	6.25192i	0.584968	−	0.448862i
$195$	−9.66559			−0.692167
$196$	−0.604616	−	5.13597i	−0.0431869	−	0.366855i
$197$	9.97580	−	9.97580i	0.710747	−	0.710747i	−0.255945	−	0.966691i	$-0.582387\pi$
$197$	9.97580	−	9.97580i	0.710747	−	0.710747i	0.966691	+	0.255945i	$0.0823866\pi$
$198$	−0.920557	+	0.706368i	−0.0654211	+	0.0501994i
$199$	6.96902	−	9.08220i	0.494021	−	0.643820i	−0.478099	−	0.878306i	$-0.658674\pi$
$199$	6.96902	−	9.08220i	0.494021	−	0.643820i	0.972120	+	0.234486i	$0.0753406\pi$
$200$	−3.67856	−	0.985666i	−0.260113	−	0.0696971i
$201$	0.827978	+	0.478033i	0.0584011	+	0.0337179i
$202$	−5.11654	+	12.3524i	−0.359999	+	0.869114i
$203$	−3.73071	−	19.4519i	−0.261845	−	1.36525i
$204$		−	1.61370i		−	0.112982i
$205$	10.0369	+	7.31401i	0.701010	+	0.510833i
$206$	17.4205	−	10.0577i	1.21374	−	0.700756i
$207$	2.59604	+	0.695606i	0.180437	+	0.0483479i
$208$	7.81496	−	5.99663i	0.541870	−	0.415791i
$209$	6.56860			0.454360
$210$	−5.44427	−	1.88982i	−0.375691	−	0.130410i
$211$	2.78587	+	6.72568i	0.191787	+	0.463015i	0.990297	−	0.138967i	$-0.0443781\pi$
$211$	2.78587	+	6.72568i	0.191787	+	0.463015i	−0.798510	+	0.601982i	$0.794378\pi$
$212$	−0.727084	−	0.947555i	−0.0499364	−	0.0650783i
$213$	8.94645	+	2.39719i	0.613000	+	0.164253i
$214$	3.71554	−	13.8666i	0.253989	−	0.947900i
$215$	15.3327	+	8.85235i	1.04568	+	0.603725i
$216$	1.17704	−	2.84163i	0.0800876	−	0.193349i
$217$	−5.30587	−	2.66196i	−0.360186	−	0.180706i
$218$	−6.60954	+	15.9568i	−0.447655	+	1.08073i
$219$	4.95780	+	0.652707i	0.335017	+	0.0441058i
$220$	−0.901255	+	1.17454i	−0.0607626	+	0.0791874i
$221$	−5.44263	−	9.42692i	−0.366111	−	0.634123i
$222$	0.0949523	−	0.721234i	0.00637278	−	0.0484061i
$223$			11.2697i			0.754677i	0.926075	+	0.377338i	$0.123161\pi$
$223$			11.2697i			0.754677i	−0.926075	+	0.377338i	$0.876839\pi$
$224$	−9.87284	+	3.27604i	−0.659657	+	0.218889i
$225$	−0.875520	+	0.875520i	−0.0583680	+	0.0583680i
$226$	1.51330	−	0.405487i	0.100663	−	0.0269726i
$227$	4.78687	−	6.23838i	0.317716	−	0.414056i	−0.607007	−	0.794697i	$-0.707630\pi$
$227$	4.78687	−	6.23838i	0.317716	−	0.414056i	0.924723	+	0.380641i	$0.124297\pi$
$228$	−4.06751	+	2.34838i	−0.269378	+	0.155525i
$229$	27.6750	+	3.64349i	1.82882	+	0.240768i	0.964854	−	0.262786i	$-0.0846412\pi$
$229$	27.6750	+	3.64349i	1.82882	+	0.240768i	0.863964	+	0.503554i	$0.167975\pi$
$230$	−5.85413			−0.386010
$231$	1.81645	−	2.04283i	0.119514	−	0.134408i
$232$	−21.2728	+	8.81147i	−1.39663	+	0.578502i
$233$	−9.60400	+	7.36941i	−0.629179	+	0.482786i	−0.873445	−	0.486922i	$-0.838119\pi$
$233$	−9.60400	+	7.36941i	−0.629179	+	0.482786i	0.244267	+	0.969708i	$0.421453\pi$
$234$	−0.730504	−	5.54873i	−0.0477545	−	0.362732i
$235$	−24.3693	+	3.20828i	−1.58968	+	0.209285i
$236$	4.29677	−	7.44223i	0.279696	−	0.484448i
$237$	−5.49768	−	5.49768i	−0.357113	−	0.357113i
$238$	−1.22248	−	6.37398i	−0.0792416	−	0.413164i
$239$	−25.9776	−	10.7603i	−1.68035	−	0.696024i	−0.681008	−	0.732276i	$-0.738458\pi$
$239$	−25.9776	−	10.7603i	−1.68035	−	0.696024i	−0.999343	+	0.0362518i	$0.988458\pi$
$240$	−0.500413	+	3.80101i	−0.0323015	+	0.245354i
$241$	−4.97317	+	18.5601i	−0.320350	+	1.19556i	0.598555	+	0.801082i	$0.295742\pi$
$241$	−4.97317	+	18.5601i	−0.320350	+	1.19556i	−0.918905	+	0.394480i	$0.870925\pi$
$242$	−5.57730	−	9.66016i	−0.358522	−	0.620979i
$243$	−0.608761	−	0.793353i	−0.0390521	−	0.0508936i
$244$	−7.35998	+	7.35998i	−0.471175	+	0.471175i
$245$	13.4351	+	1.95660i	0.858336	+	0.125002i
$246$	−3.44019	+	6.31469i	−0.219338	+	0.402610i
$247$	−15.8411	+	27.4375i	−1.00794	+	1.74581i
$248$	−1.78611	+	6.66584i	−0.113418	+	0.423281i
$249$	15.3266	−	2.01778i	0.971282	−	0.127872i
$250$	6.79396	−	11.7675i	0.429688	−	0.744241i
$251$	−13.9845	+	13.9845i	−0.882693	+	0.882693i	−0.993808	−	0.111114i	$-0.964558\pi$
$251$	−13.9845	+	13.9845i	−0.882693	+	0.882693i	0.111114	+	0.993808i	$0.464558\pi$
$252$	−0.394467	+	1.91440i	−0.0248491	+	0.120596i
$253$	1.06266	−	2.56549i	0.0668089	−	0.161291i
$254$	0.255706	−	0.0685162i	0.0160444	−	0.00429909i
$255$	4.09217	+	1.09649i	0.256261	+	0.0686650i
$256$	7.50672	+	13.0020i	0.469170	+	0.812627i
$257$	−10.5960	−	13.8090i	−0.660963	−	0.861384i	0.335787	−	0.941938i	$-0.390998\pi$
$257$	−10.5960	−	13.8090i	−0.660963	−	0.861384i	−0.996750	+	0.0805539i	$0.974331\pi$
$258$	−3.92306	+	9.47110i	−0.244239	+	0.589645i
$259$	0.100356	+	1.71086i	0.00623585	+	0.106308i
$260$	−2.73263	−	6.59716i	−0.169471	−	0.409138i
$261$	−0.977133	+	7.42207i	−0.0604830	+	0.459414i
$262$	−5.32507	+	3.07443i	−0.328984	+	0.189939i
$263$	−12.0941	+	15.7613i	−0.745752	+	0.971883i	0.254236	+	0.967142i	$0.418176\pi$
$263$	−12.0941	+	15.7613i	−0.745752	+	0.971883i	−0.999989	+	0.00474119i	$0.998491\pi$
$264$	−2.75214	−	1.58895i	−0.169383	−	0.0977932i
$265$	2.89694	−	1.19995i	0.177958	−	0.0737124i
$266$	−14.2873	+	12.3573i	−0.876009	+	0.757674i
$267$	5.25479	+	5.25479i	0.321588	+	0.321588i
$268$	−0.0921932	+	0.700277i	−0.00563160	+	0.0427762i
$269$	−2.12919	−	3.68787i	−0.129819	−	0.224853i	0.793787	−	0.608195i	$-0.208106\pi$
$269$	−2.12919	−	3.68787i	−0.129819	−	0.224853i	−0.923606	+	0.383342i	$0.874773\pi$
$270$	1.72807	+	1.32600i	0.105167	+	0.0806976i
$271$	−7.34967	+	12.7300i	−0.446461	+	0.773292i	−0.998153	−	0.0607554i	$-0.980649\pi$
$271$	−7.34967	+	12.7300i	−0.446461	+	0.773292i	0.551692	+	0.834048i	$0.313982\pi$
$272$	−3.98893	+	1.65227i	−0.241864	+	0.100184i
$273$	4.15243	+	12.5140i	0.251316	+	0.757381i
$274$	−1.75797	−	0.728176i	−0.106203	−	0.0439907i
$275$	0.778782	+	1.01493i	0.0469623	+	0.0612025i
$276$	0.259166	+	1.96856i	0.0156000	+	0.118493i
$277$	1.36933	−	0.790584i	0.0822752	−	0.0475016i	−0.458298	−	0.888799i	$-0.651541\pi$
$277$	1.36933	−	0.790584i	0.0822752	−	0.0475016i	0.540573	+	0.841297i	$0.318207\pi$
$278$	1.12719	−	0.302030i	0.0676044	−	0.0181145i
$279$	1.58651	+	1.58651i	0.0949820	+	0.0949820i
$280$	−0.924242	−	15.7563i	−0.0552340	−	0.941621i
$281$	23.9026	−	9.90078i	1.42591	−	0.590631i	0.469572	−	0.882894i	$-0.344408\pi$
$281$	23.9026	−	9.90078i	1.42591	−	0.590631i	0.956338	+	0.292263i	$0.0944083\pi$
$282$	−3.68355	−	13.7472i	−0.219352	−	0.818634i
$283$	1.80385	−	1.04145i	0.107228	−	0.0619079i	−0.445427	−	0.895318i	$-0.646948\pi$
$283$	1.80385	−	1.04145i	0.107228	−	0.0619079i	0.552655	+	0.833410i	$0.313615\pi$
$284$	0.893136	+	6.78404i	0.0529979	+	0.402559i
$285$	−3.19140	−	11.9105i	−0.189042	−	0.705514i
$286$	−5.78246			−0.341924
$287$	5.15744	−	16.1369i	0.304434	−	0.952533i
$288$	3.93165			0.231675
$289$	−3.16507	−	11.8122i	−0.186180	−	0.694835i
$290$	−2.12838	−	16.1667i	−0.124983	−	0.949339i
$291$	7.91956	−	4.57236i	0.464253	−	0.268037i
$292$	0.956158	+	3.56843i	0.0559549	+	0.208827i
$293$	30.7391	−	12.7326i	1.79580	−	0.743845i	0.807787	−	0.589474i	$-0.200665\pi$
$293$	30.7391	−	12.7326i	1.79580	−	0.743845i	0.988013	−	0.154370i	$-0.0493349\pi$
$294$	−0.107831	+	7.86055i	−0.00628884	+	0.458437i
$295$	15.9531	+	15.9531i	0.928823	+	0.928823i
$296$	1.92446	−	0.515657i	0.111857	−	0.0299719i
$297$	−0.894785	+	0.516604i	−0.0519207	+	0.0299764i
$298$	0.171135	+	1.29990i	0.00991359	+	0.0753012i
$299$	8.15348	+	10.6258i	0.471528	+	0.614507i
$300$	−0.845103	−	0.350053i	−0.0487920	−	0.0202103i
$301$	4.87401	−	23.6542i	0.280933	−	1.36341i
$302$	−12.1545	+	5.03456i	−0.699414	+	0.289707i
$303$	−5.95266	+	10.3103i	−0.341971	+	0.592312i
$304$	9.96971	+	7.65003i	0.571802	+	0.438759i
$305$	−13.6631	−	23.6651i	−0.782345	−	1.35506i
$306$	−0.320187	+	2.43206i	−0.0183039	+	0.139032i
$307$	−1.13973	−	1.13973i	−0.0650477	−	0.0650477i	0.673835	−	0.738882i	$-0.264646\pi$
$307$	−1.13973	−	1.13973i	−0.0650477	−	0.0650477i	−0.738882	+	0.673835i	$0.764646\pi$
$308$	1.90786	+	0.662257i	0.108710	+	0.0377356i
$309$	16.5482	−	6.85447i	0.941392	−	0.389937i
$310$	−4.23238	−	2.44357i	−0.240383	−	0.138785i
$311$	−3.20852	+	4.18143i	−0.181939	+	0.237107i	−0.875415	−	0.483373i	$-0.839412\pi$
$311$	−3.20852	+	4.18143i	−0.181939	+	0.237107i	0.693476	+	0.720480i	$0.256078\pi$
$312$	13.2743	−	7.66393i	0.751510	−	0.433885i
$313$	−3.43258	+	26.0730i	−0.194021	+	1.47373i	0.566307	+	0.824194i	$0.308372\pi$
$313$	−3.43258	+	26.0730i	−0.194021	+	1.47373i	−0.760328	+	0.649540i	$0.774962\pi$
$314$	−9.04570	−	21.8383i	−0.510478	−	1.23240i
$315$	−4.58667	−	2.30114i	−0.258430	−	0.129654i
$316$	2.19810	−	5.30668i	0.123653	−	0.298524i
$317$	−3.28653	−	4.28309i	−0.184590	−	0.240562i	0.691887	−	0.722005i	$-0.256779\pi$
$317$	−3.28653	−	4.28309i	−0.184590	−	0.240562i	−0.876477	+	0.481443i	$0.840113\pi$
$318$	0.907801	+	1.57236i	0.0509069	+	0.0881734i
$319$	7.47116	+	2.00189i	0.418305	+	0.112084i
$320$	−15.6784	+	4.20102i	−0.876451	+	0.234844i
$321$	4.89181	−	11.8099i	0.273034	−	0.659162i
$322$	2.51499	+	7.57931i	0.140155	+	0.422378i
$323$	9.81929	−	9.81929i	0.546360	−	0.546360i
$324$	0.369388	−	0.639799i	0.0205216	−	0.0355444i
$325$	−6.11756	+	0.805393i	−0.339341	+	0.0446751i
$326$	3.73228	−	13.9290i	0.206712	−	0.771458i
$327$	−7.68964	+	13.3188i	−0.425238	+	0.736533i
$328$	−19.5837	−	2.08638i	−1.08133	−	0.115201i
$329$	14.6230	+	30.1725i	0.806193	+	1.66346i
$330$	1.59136	−	1.59136i	0.0876015	−	0.0876015i
$331$	9.92529	+	12.9349i	0.545543	+	0.710966i	0.982026	−	0.188747i	$-0.0604426\pi$
$331$	9.92529	+	12.9349i	0.545543	+	0.710966i	−0.436483	+	0.899713i	$0.643776\pi$
$332$	5.71031	+	9.89054i	0.313394	+	0.542814i
$333$	0.167652	−	0.625685i	0.00918726	−	0.0342873i
$334$	−0.903808	+	6.86511i	−0.0494542	+	0.375642i
$335$	−1.71318	−	0.709622i	−0.0936010	−	0.0387708i
$336$	5.13613	−	0.985069i	0.280199	−	0.0537399i
$337$	4.25901	+	4.25901i	0.232003	+	0.232003i	0.813528	−	0.581525i	$-0.197544\pi$
$337$	4.25901	+	4.25901i	0.232003	+	0.232003i	−0.581525	+	0.813528i	$0.697544\pi$
$338$	6.64540	−	11.5102i	0.361462	−	0.626071i
$339$	1.38310	−	0.182088i	0.0751196	−	0.00988968i
$340$	0.408527	+	3.10307i	0.0221555	+	0.168287i
$341$	1.83913	−	1.41122i	0.0995947	−	0.0764217i
$342$	6.59624	−	2.73225i	0.356684	−	0.147743i
$343$	−3.23864	−	18.2349i	−0.174870	−	0.984592i
$344$	−28.0764			−1.51378
$345$	−5.16815	−	0.680400i	−0.278244	−	0.0366315i
$346$	14.0733	−	8.12523i	0.756586	−	0.436815i
$347$	13.0406	−	16.9948i	0.700055	−	0.912329i	−0.299067	−	0.954232i	$-0.596675\pi$
$347$	13.0406	−	16.9948i	0.700055	−	0.912329i	0.999122	+	0.0419032i	$0.0133421\pi$
$348$	−5.34211	+	1.43142i	−0.286367	+	0.0767319i
$349$	−7.60536	+	7.60536i	−0.407106	+	0.407106i	−0.880728	−	0.473622i	$-0.842946\pi$
$349$	−7.60536	+	7.60536i	−0.407106	+	0.407106i	0.473622	+	0.880728i	$0.342946\pi$
$350$	−3.60327	−	0.742462i	−0.192603	−	0.0396862i
$351$		−	4.98344i		−	0.265996i
$352$	0.530226	−	4.02747i	0.0282611	−	0.214665i
$353$	−4.32108	−	7.48433i	−0.229988	−	0.398351i	0.727816	−	0.685772i	$-0.240535\pi$
$353$	−4.32108	−	7.48433i	−0.229988	−	0.398351i	−0.957804	+	0.287421i	$0.907202\pi$
$354$	−7.95248	+	10.3639i	−0.422669	+	0.550834i
$355$	−17.8104	−	2.34479i	−0.945280	−	0.124449i
$356$	−2.10099	+	5.07223i	−0.111352	+	0.268828i
$357$	−0.338410	−	5.76917i	−0.0179106	−	0.305337i
$358$	1.28101	−	3.09264i	0.0677037	−	0.163451i
$359$	−15.6191	−	9.01771i	−0.824346	−	0.475937i	0.0275665	−	0.999620i	$-0.491224\pi$
$359$	−15.6191	−	9.01771i	−0.824346	−	0.475937i	−0.851913	+	0.523683i	$0.824558\pi$
$360$	−1.54400	+	5.76230i	−0.0813761	+	0.303700i
$361$	−20.6878	−	5.54327i	−1.08883	−	0.291751i
$362$	−14.9028	−	19.4218i	−0.783276	−	1.02079i
$363$	−3.80100	−	9.17642i	−0.199501	−	0.481637i
$364$	−7.36734	+	6.37213i	−0.386154	+	0.333990i
$365$	−9.69884			−0.507661
$366$	12.5528	−	9.63212i	0.656146	−	0.503479i
$367$	−24.6575	−	6.60697i	−1.28711	−	0.344881i	−0.450550	−	0.892751i	$-0.648772\pi$
$367$	−24.6575	−	6.60697i	−1.28711	−	0.344881i	−0.836563	+	0.547871i	$0.815439\pi$
$368$	4.60075	−	2.65624i	0.239831	−	0.138466i
$369$	−3.77100	+	5.17490i	−0.196310	+	0.269395i
$370$			1.41094i			0.0733511i
$371$	−2.79812	−	3.23514i	−0.145271	−	0.167960i
$372$	−0.634324	+	1.53139i	−0.0328882	+	0.0793991i
$373$	18.4572	+	10.6562i	0.955675	+	0.551759i	0.894839	−	0.446389i	$-0.147290\pi$
$373$	18.4572	+	10.6562i	0.955675	+	0.551759i	0.0608358	+	0.998148i	$0.480623\pi$
$374$	2.44815	+	0.655980i	0.126591	+	0.0339199i
$375$	7.36553	−	9.59894i	0.380354	−	0.495687i
$376$	30.9239	−	23.7287i	1.59478	−	1.22372i
$377$	−26.3797	+	26.3797i	−1.35862	+	1.35862i
$378$	0.974365	−	2.80699i	0.0501159	−	0.144376i
$379$	7.22288			0.371015			0.185507	−	0.982643i	$-0.440607\pi$
$379$	7.22288			0.371015			0.185507	+	0.982643i	$0.440607\pi$
$380$	7.22710	−	5.54555i	0.370743	−	0.284481i
$381$	0.233706	−	0.0307680i	0.0119731	−	0.00157629i
$382$	9.82046	−	1.29289i	0.502458	−	0.0661499i
$383$	0.0659821	−	0.501184i	0.00337153	−	0.0256093i	−0.989676	−	0.143320i	$-0.954222\pi$
$383$	0.0659821	−	0.501184i	0.00337153	−	0.0256093i	0.993048	+	0.117711i	$0.0375555\pi$
$384$	−0.587465	−	1.41827i	−0.0299790	−	0.0723756i
$385$	−2.97578	+	4.38811i	−0.151660	+	0.223639i
$386$	0.276968	+	0.668661i	0.0140973	+	0.0340339i
$387$	−4.56414	+	7.90532i	−0.232008	+	0.401850i
$388$	5.35982	+	4.11274i	0.272104	+	0.208793i
$389$	−0.386832	−	0.103651i	−0.0196132	−	0.00525533i	0.248999	−	0.968504i	$-0.419898\pi$
$389$	−0.386832	−	0.103651i	−0.0196132	−	0.00525533i	−0.268612	+	0.963248i	$0.586565\pi$
$390$	2.80945	+	10.4850i	0.142262	+	0.530928i
$391$	−2.24655	−	5.42366i	−0.113613	−	0.274286i
$392$	−20.0026	+	7.96568i	−1.01028	+	0.402328i
$393$	−5.05841	+	2.09526i	−0.255163	+	0.105692i
$394$	−13.7211	−	7.92189i	−0.691260	−	0.399099i
$395$	11.9636	+	9.17996i	0.601952	+	0.461894i
$396$	−0.605575	−	0.464674i	−0.0304313	−	0.0233507i
$397$	1.55017	+	2.02022i	0.0778009	+	0.101392i	0.830632	−	0.556821i	$-0.187979\pi$
$397$	1.55017	+	2.02022i	0.0778009	+	0.101392i	−0.752831	+	0.658213i	$0.771312\pi$
$398$	−11.8778	−	4.91994i	−0.595380	−	0.246615i
$399$	−14.0493	+	9.24872i	−0.703347	+	0.463015i
$400$			2.44744i			0.122372i
$401$	−7.18263	−	26.8060i	−0.358684	−	1.33863i	−0.875785	−	0.482701i	$-0.839656\pi$
$401$	−7.18263	−	26.8060i	−0.358684	−	1.33863i	0.517102	−	0.855924i	$-0.327011\pi$
$402$	0.277895	−	1.03712i	0.0138601	−	0.0517267i
$403$	1.45944	+	11.0855i	0.0726997	+	0.552209i
$404$	−8.72012	−	1.14803i	−0.433842	−	0.0571164i
$405$	1.37146	+	1.37146i	0.0681486	+	0.0681486i
$406$	−20.0165	+	9.70095i	−0.993403	+	0.481450i
$407$	−0.618323	−	0.256118i	−0.0306491	−	0.0126953i
$408$	−6.48943	+	1.73884i	−0.321275	+	0.0860853i
$409$	−9.69882	−	16.7988i	−0.479576	−	0.830649i	0.520150	−	0.854075i	$-0.325876\pi$
$409$	−9.69882	−	16.7988i	−0.479576	−	0.830649i	−0.999726	+	0.0234256i	$0.992543\pi$
$410$	5.01667	−	13.0138i	0.247756	−	0.642703i
$411$	−1.46734	−	0.847170i	−0.0723787	−	0.0417878i
$412$	9.35691	+	9.35691i	0.460982	+	0.460982i
$413$	13.8007	−	27.5079i	0.679090	−	1.35358i
$414$		−	3.01830i		−	0.148342i
$415$	−28.9614	+	7.76018i	−1.42166	+	0.380932i
$416$	15.5443	+	11.9276i	0.762122	+	0.584797i
$417$	1.03021	−	0.135630i	0.0504496	−	0.00664182i
$418$	−1.90926	−	7.12546i	−0.0933850	−	0.348518i
$419$	−16.8418	+	16.8418i	−0.822775	+	0.822775i	−0.986505	−	0.163730i	$-0.947647\pi$
$419$	−16.8418	+	16.8418i	−0.822775	+	0.822775i	0.163730	+	0.986505i	$0.447647\pi$
$420$	0.273887	−	3.78116i	0.0133643	−	0.184502i
$421$	−11.1066	−	4.60051i	−0.541303	−	0.224215i	0.0952428	−	0.995454i	$-0.469637\pi$
$421$	−11.1066	−	4.60051i	−0.541303	−	0.224215i	−0.636545	+	0.771239i	$0.719637\pi$
$422$	6.48610	−	4.97696i	0.315738	−	0.242275i
$423$	−1.65414	−	12.5644i	−0.0804271	−	0.610904i
$424$	−3.02708	+	3.94497i	−0.147008	+	0.191585i
$425$	2.68139	+	0.353011i	0.130066	+	0.0171236i
$426$		−	10.4017i		−	0.503962i
$427$	−24.7693	+	27.8562i	−1.19867	+	1.34806i
$428$	9.44371			0.456479
$429$	−5.10488	−	0.672070i	−0.246466	−	0.0324479i
$430$	5.14613	−	19.2056i	0.248168	−	0.926177i
$431$	−0.237376	+	0.885900i	−0.0114340	+	0.0426723i	−0.971407	−	0.237420i	$-0.923698\pi$
$431$	−0.237376	+	0.885900i	−0.0114340	+	0.0426723i	0.959973	+	0.280092i	$0.0903650\pi$
$432$	−1.95975	−	0.258005i	−0.0942883	−	0.0124133i
$433$	−12.7817			−0.614251			−0.307126	−	0.951669i	$-0.599367\pi$
$433$	−12.7817			−0.614251			−0.307126	+	0.951669i	$0.599367\pi$
$434$	−1.34540	+	6.52942i	−0.0645813	+	0.313422i
$435$		−	14.5196i		−	0.696163i
$436$	−11.2646	−	1.48302i	−0.539479	−	0.0710237i
$437$	−10.4016	+	13.5556i	−0.497575	+	0.648452i
$438$	−0.733017	−	5.56782i	−0.0350249	−	0.266041i
$439$	30.8429	−	23.6666i	1.47205	−	1.12954i	0.508817	−	0.860875i	$-0.330083\pi$
$439$	30.8429	−	23.6666i	1.47205	−	1.12954i	0.963233	−	0.268669i	$-0.0865838\pi$
$440$	5.69450	+	2.35874i	0.271475	+	0.112448i
$441$	−1.00879	+	6.92693i	−0.0480378	+	0.329854i
$442$	−8.64411	+	8.64411i	−0.411158	+	0.411158i
$443$	3.55854	+	13.2807i	0.169071	+	0.630983i	0.997486	+	0.0708673i	$0.0225767\pi$
$443$	3.55854	+	13.2807i	0.169071	+	0.630983i	−0.828414	+	0.560116i	$0.810757\pi$
$444$	0.474453	−	0.0624630i	0.0225166	−	0.00296436i
$445$	−11.4350	−	8.77439i	−0.542072	−	0.415946i
$446$	12.2251	−	3.27571i	0.578876	−	0.155109i
$447$			1.16747i			0.0552194i
$448$	12.1746	+	18.4940i	0.575198	+	0.873758i
$449$	1.14708	+	1.14708i	0.0541342	+	0.0541342i	0.733656	−	0.679521i	$-0.237813\pi$
$449$	1.14708	+	1.14708i	0.0541342	+	0.0541342i	−0.679521	+	0.733656i	$0.737813\pi$
$450$	1.20422	+	0.695260i	0.0567677	+	0.0327748i
$451$	4.79245	+	4.56078i	0.225668	+	0.214759i
$452$	0.515309	+	0.892541i	0.0242381	+	0.0419816i
$453$	−11.3154	+	3.03195i	−0.531644	+	0.142454i
$454$	−8.15861	−	3.37941i	−0.382903	−	0.158603i
$455$	−11.1530	−	23.0125i	−0.522859	−	1.07884i
$456$	13.8268	+	13.8268i	0.647501	+	0.647501i
$457$	38.1591	+	5.02375i	1.78501	+	0.235001i	0.949344	−	0.314239i	$-0.101749\pi$
$457$	38.1591	+	5.02375i	1.78501	+	0.235001i	0.835665	+	0.549240i	$0.185083\pi$
$458$	−4.09179	−	31.0802i	−0.191197	−	1.45228i
$459$	−0.565336	+	2.10986i	−0.0263876	+	0.0984799i
$460$	−0.996726	−	3.71983i	−0.0464726	−	0.173438i
$461$			6.41590i			0.298818i	0.988775	+	0.149409i	$0.0477371\pi$
$461$			6.41590i			0.298818i	−0.988775	+	0.149409i	$0.952263\pi$
$462$	−2.74399	−	1.37666i	−0.127662	−	0.0640481i
$463$	−34.5237	−	14.3002i	−1.60445	−	0.664585i	−0.612415	−	0.790537i	$-0.709802\pi$
$463$	−34.5237	−	14.3002i	−1.60445	−	0.664585i	−0.992036	+	0.125951i	$0.959802\pi$
$464$	9.00813	+	11.7396i	0.418192	+	0.544998i
$465$	−3.45243	−	2.64914i	−0.160103	−	0.122851i
$466$	10.7857	+	8.27615i	0.499638	+	0.383385i
$467$	−18.9088	−	10.9170i	−0.874995	−	0.505178i	−0.00598996	−	0.999982i	$-0.501907\pi$
$467$	−18.9088	−	10.9170i	−0.874995	−	0.505178i	−0.869005	+	0.494804i	$0.835240\pi$
$468$	3.40140	−	1.40891i	0.157230	−	0.0651267i
$469$	−0.182746	+	2.52290i	−0.00843842	+	0.116497i
$470$	10.5636	+	25.5027i	0.487260	+	1.17635i
$471$	−5.44757	−	20.3306i	−0.251011	−	0.936785i
$472$	−34.5586	−	9.25994i	−1.59069	−	0.426223i
$473$	7.48245	+	5.74148i	0.344043	+	0.263994i
$474$	−4.36576	+	7.56172i	−0.200526	+	0.347322i
$475$	−3.01235	−	7.27246i	−0.138216	−	0.333683i
$476$	3.84202	−	1.86202i	0.176099	−	0.0853457i
$477$	0.618677	+	1.49362i	0.0283273	+	0.0683881i
$478$	−4.12171	+	31.3075i	−0.188523	+	1.43197i
$479$	0.236215	−	0.0310983i	0.0107929	−	0.00142092i	−0.125128	−	0.992141i	$-0.539934\pi$
$479$	0.236215	−	0.0310983i	0.0107929	−	0.00142092i	0.135921	+	0.990720i	$0.456601\pi$
$480$	−7.56038	+	0.995342i	−0.345082	+	0.0454310i
$481$	2.56099	−	1.96511i	0.116771	−	0.0896015i
$482$	21.5791			0.982900
$483$	1.33938	+	6.98348i	0.0609437	+	0.317759i
$484$	5.18867	−	5.18867i	0.235849	−	0.235849i
$485$	−14.0714	+	10.7973i	−0.638948	+	0.490282i
$486$	−0.683665	+	0.890969i	−0.0310117	+	0.0404152i
$487$	−28.6664	−	7.68115i	−1.29900	−	0.348066i	−0.457929	−	0.888989i	$-0.651408\pi$
$487$	−28.6664	−	7.68115i	−1.29900	−	0.348066i	−0.841072	+	0.540923i	$0.818075\pi$
$488$	37.5286	+	21.6671i	1.69884	+	0.980825i
$489$	4.91384	−	11.8631i	0.222212	−	0.536466i
$490$	−1.78263	−	15.1428i	−0.0805312	−	0.684080i
$491$			2.45945i			0.110993i	0.998459	+	0.0554967i	$0.0176742\pi$
$491$			2.45945i			0.110993i	−0.998459	+	0.0554967i	$0.982326\pi$
$492$	−4.59821	−	1.11082i	−0.207303	−	0.0500798i
$493$	14.1611	−	8.17591i	0.637784	−	0.368225i
$494$	34.3680	+	9.20887i	1.54629	+	0.414327i
$495$	1.58984	−	1.21993i	0.0714581	−	0.0548317i
$496$	4.43496			0.199136
$497$	4.61575	+	24.0664i	0.207045	+	1.07953i
$498$	−6.64373	−	16.0394i	−0.297713	−	0.718742i
$499$	17.1343	+	22.3298i	0.767036	+	0.999621i	0.999634	+	0.0270483i	$0.00861078\pi$
$499$	17.1343	+	22.3298i	0.767036	+	0.999621i	−0.232598	+	0.972573i	$0.574723\pi$
$500$	8.63403	+	2.31348i	0.386126	+	0.103462i
$501$	−1.59580	+	5.95561i	−0.0712952	+	0.266077i
$502$	19.2348	+	11.1052i	0.858493	+	0.495651i
$503$	−10.8519	+	26.1987i	−0.483860	+	1.16814i	0.473901	+	0.880578i	$0.342845\pi$
$503$	−10.8519	+	26.1987i	−0.483860	+	1.16814i	−0.957761	+	0.287564i	$0.907155\pi$
$504$	8.12374	−	0.476525i	0.361860	−	0.0212261i
$505$	8.83649	−	21.3332i	0.393219	−	0.949314i
$506$	−3.09186	−	0.407051i	−0.137450	−	0.0180956i
$507$	7.20448	−	9.38906i	0.319962	−	0.416983i
$508$	0.0870731	+	0.150815i	0.00386325	+	0.00669134i
$509$	2.06851	−	15.7119i	0.0916850	−	0.696417i	−0.882443	−	0.470420i	$-0.844103\pi$
$509$	2.06851	−	15.7119i	0.0916850	−	0.696417i	0.974128	−	0.225997i	$-0.0725641\pi$
$510$		−	4.75779i		−	0.210679i
$511$	4.16671	+	12.5570i	0.184325	+	0.555490i
$512$	14.0933	−	14.0933i	0.622843	−	0.622843i
$513$	6.14085	−	1.64544i	0.271125	−	0.0726478i
$514$	−11.8998	+	15.5081i	−0.524878	+	0.684034i
$515$	−30.0860	+	17.3702i	−1.32575	+	0.765421i
$516$	−6.68607	−	0.880238i	−0.294338	−	0.0387503i
$517$	−13.0937			−0.575861
$518$	1.82673	−	0.606151i	0.0802619	−	0.0266328i
$519$	13.3686	−	5.53745i	0.586815	−	0.243067i
$520$	−23.5856	+	18.0979i	−1.03430	+	0.793645i
$521$	5.45659	+	41.4469i	0.239058	+	1.81582i	0.517850	+	0.855472i	$0.326733\pi$
$521$	5.45659	+	41.4469i	0.239058	+	1.81582i	−0.278792	+	0.960352i	$0.589934\pi$
$522$	8.33529	−	1.09736i	0.364826	−	0.0480302i
$523$	10.2514	−	17.7560i	0.448264	−	0.776415i	−0.550010	−	0.835158i	$-0.685376\pi$
$523$	10.2514	−	17.7560i	0.448264	−	0.776415i	0.998273	+	0.0587430i	$0.0187093\pi$
$524$	−2.86020	−	2.86020i	−0.124948	−	0.124948i
$525$	−3.09475	−	1.07425i	−0.135066	−	0.0468842i
$526$	20.6128	+	8.53810i	0.898760	+	0.372279i
$527$	0.639685	−	4.85889i	0.0278651	−	0.211657i
$528$	−0.528586	+	1.97271i	−0.0230037	+	0.0858511i
$529$	−7.88836	−	13.6630i	−0.342972	−	0.594046i
$530$	−2.14372	−	2.79374i	−0.0931170	−	0.121352i
$531$	−8.22516	+	8.22516i	−0.356942	+	0.356942i
$532$	−10.2846	−	6.97447i	−0.445895	−	0.302382i
$533$	−30.6083	+	9.01946i	−1.32579	+	0.390676i
$534$	4.17289	−	7.22765i	0.180578	−	0.312771i
$535$	−6.41690	+	23.9482i	−0.277427	+	1.03537i
$536$	2.91547	−	0.383830i	0.125929	−	0.0165789i
$537$	1.49035	−	2.58136i	0.0643134	−	0.111394i
$538$	−3.38163	+	3.38163i	−0.145792	+	0.145792i
$539$	6.95969	+	1.96755i	0.299775	+	0.0847483i
$540$	−0.548343	+	1.32382i	−0.0235969	+	0.0569680i
$541$	−32.5389	+	8.71878i	−1.39896	+	0.374849i	−0.877970	−	0.478715i	$-0.841103\pi$
$541$	−32.5389	+	8.71878i	−1.39896	+	0.374849i	−0.520987	+	0.853565i	$0.674436\pi$
$542$	15.9455	+	4.27258i	0.684917	+	0.183523i
$543$	−10.8992	−	18.8780i	−0.467731	−	0.810134i
$544$	−5.22796	−	6.81322i	−0.224147	−	0.292114i
$545$	11.4150	−	27.5582i	0.488964	−	1.18046i
$546$	12.3679	−	8.14183i	0.529297	−	0.348438i
$547$	2.12002	+	5.11817i	0.0906453	+	0.218837i	0.962700	−	0.270571i	$-0.0872126\pi$
$547$	2.12002	+	5.11817i	0.0906453	+	0.218837i	−0.872055	+	0.489409i	$0.837213\pi$
$548$	0.163385	−	1.24103i	0.00697945	−	0.0530142i
$549$	12.2014	−	7.04447i	0.520743	−	0.300651i
$550$	0.874605	−	1.13981i	0.0372933	−	0.0486016i
$551$	−41.2166	−	23.7964i	−1.75588	−	1.01376i
$552$	7.63721	−	3.16344i	0.325061	−	0.134645i
$553$	6.74559	−	19.4329i	0.286852	−	0.826373i
$554$	−1.25562	−	1.25562i	−0.0533463	−	0.0533463i
$555$	−0.163987	+	1.24560i	−0.00696085	+	0.0528729i
$556$	0.383831	+	0.664816i	0.0162781	+	0.0281945i
$557$	3.46296	+	2.65723i	0.146731	+	0.112590i	0.679518	−	0.733659i	$-0.262189\pi$
$557$	3.46296	+	2.65723i	0.146731	+	0.112590i	−0.532788	+	0.846249i	$0.678856\pi$
$558$	1.25987	−	2.18215i	0.0533344	−	0.0923779i
$559$	−42.0275	+	17.4084i	−1.77757	+	0.736295i
$560$	−9.62714	+	3.19451i	−0.406821	+	0.134993i
$561$	2.08504	+	0.863650i	0.0880303	+	0.0364633i
$562$	−17.6878	−	23.0511i	−0.746113	−	0.972354i
$563$	−4.15482	−	31.5590i	−0.175105	−	1.33005i	−0.822878	−	0.568219i	$-0.807633\pi$
$563$	−4.15482	−	31.5590i	−0.175105	−	1.33005i	0.647773	−	0.761833i	$-0.275701\pi$
$564$	8.10809	−	4.68121i	0.341412	−	0.197114i
$565$	−2.61353	+	0.700294i	−0.109952	+	0.0294616i
$566$	−1.65406	−	1.65406i	−0.0695252	−	0.0695252i
$567$	1.18643	−	2.36482i	0.0498255	−	0.0993131i
$568$	26.3193	−	10.9018i	1.10433	−	0.457430i
$569$	−1.57201	−	5.86681i	−0.0659020	−	0.245949i	0.925115	−	0.379688i	$-0.123969\pi$
$569$	−1.57201	−	5.86681i	−0.0659020	−	0.245949i	−0.991017	+	0.133738i	$0.957302\pi$
$570$	−11.9925	+	6.92389i	−0.502312	+	0.290010i
$571$	−2.57014	−	19.5222i	−0.107557	−	0.816977i	−0.957161	−	0.289556i	$-0.906492\pi$
$571$	−2.57014	−	19.5222i	−0.107557	−	0.816977i	0.849604	−	0.527421i	$-0.176841\pi$
$572$	−0.984524	−	3.67429i	−0.0411650	−	0.153630i
$573$	8.81997			0.368460
$574$	−19.0040	−	0.904228i	−0.793213	−	0.0377418i
$575$	−3.32773			−0.138776
$576$	−2.16599	−	8.08357i	−0.0902494	−	0.336815i
$577$	2.77624	+	21.0877i	0.115577	+	0.877891i	0.946771	+	0.321909i	$0.104324\pi$
$577$	2.77624	+	21.0877i	0.115577	+	0.877891i	−0.831194	+	0.555982i	$0.812342\pi$
$578$	−11.8936	+	6.86677i	−0.494709	+	0.285620i
$579$	0.166798	+	0.622498i	0.00693188	+	0.0258701i
$580$	9.91024	−	4.10496i	0.411500	−	0.170449i
$581$	22.4892	+	34.1623i	0.933007	+	1.41729i
$582$	−7.26192	−	7.26192i	−0.301016	−	0.301016i
$583$	1.61345	−	0.432323i	0.0668224	−	0.0179050i
$584$	13.3200	−	7.69029i	0.551185	−	0.318227i
$585$	1.26161	+	9.58290i	0.0521613	+	0.396204i
$586$	−22.7468	−	29.6442i	−0.939660	−	1.22459i
$587$	10.2065	+	4.22767i	0.421267	+	0.174495i	0.583239	−	0.812301i	$-0.301785\pi$
$587$	10.2065	+	4.22767i	0.421267	+	0.174495i	−0.161971	+	0.986795i	$0.551785\pi$
$588$	−5.01311	+	1.26982i	−0.206737	+	0.0523666i
$589$	−13.1783	+	5.45863i	−0.543002	+	0.224919i
$590$	12.6685	−	21.9425i	0.521553	−	0.903357i
$591$	−11.1926	−	8.58835i	−0.460400	−	0.353278i
$592$	−0.640196	−	1.10885i	−0.0263119	−	0.0455735i
$593$	−0.669632	+	5.08636i	−0.0274985	+	0.208872i	−0.999678	−	0.0253641i	$-0.991925\pi$
$593$	−0.669632	+	5.08636i	−0.0274985	+	0.208872i	0.972180	+	0.234236i	$0.0752588\pi$
$594$	0.820482	+	0.820482i	0.0336648	+	0.0336648i
$595$	2.11128	+	11.0082i	0.0865539	+	0.451290i
$596$	−0.796845	+	0.330064i	−0.0326401	+	0.0135200i
$597$	−9.91414	−	5.72393i	−0.405759	−	0.234265i
$598$	9.15670	−	11.9332i	0.374445	−	0.487987i
$599$	15.4336	−	8.91061i	0.630601	−	0.364078i	−0.150384	−	0.988628i	$-0.548051\pi$
$599$	15.4336	−	8.91061i	0.630601	−	0.364078i	0.780985	+	0.624550i	$0.214718\pi$
$600$	−0.497086	+	3.77574i	−0.0202934	+	0.154144i
$601$	17.2095	+	41.5473i	0.701989	+	1.69475i	0.719109	+	0.694898i	$0.244550\pi$
$601$	17.2095	+	41.5473i	0.701989	+	1.69475i	−0.0171196	+	0.999853i	$0.505450\pi$
$602$	−27.0762	+	1.58825i	−1.10354	+	0.0647322i
$603$	0.365871	−	0.883290i	0.0148994	−	0.0359704i
$604$	−5.26849	−	6.86604i	−0.214372	−	0.279375i
$605$	9.63224	+	16.6835i	0.391606	+	0.678282i
$606$	12.9146	+	3.46045i	0.524619	+	0.140571i
$607$	−15.1061	+	4.04767i	−0.613138	+	0.164290i	−0.552006	−	0.833840i	$-0.686138\pi$
$607$	−15.1061	+	4.04767i	−0.613138	+	0.164290i	−0.0611315	+	0.998130i	$0.519471\pi$
$608$	−9.56533	+	23.0928i	−0.387925	+	0.936535i
$609$	−18.7985	+	6.23777i	−0.761753	+	0.252767i
$610$	−21.7000	+	21.7000i	−0.878606	+	0.878606i
$611$	31.5772	−	54.6933i	1.27748	−	2.21266i
$612$	−1.59990	+	0.210630i	−0.0646720	+	0.00851423i
$613$	2.49917	−	9.32702i	0.100940	−	0.376715i	−0.896913	−	0.442208i	$-0.854195\pi$
$613$	2.49917	−	9.32702i	0.100940	−	0.376715i	0.997853	+	0.0654931i	$0.0208620\pi$
$614$	−0.905070	+	1.56763i	−0.0365257	+	0.0632643i
$615$	5.94135	−	10.9057i	0.239579	−	0.439762i
$616$	0.607435	−	8.38597i	0.0244743	−	0.337880i
$617$	15.7844	−	15.7844i	0.635455	−	0.635455i	−0.313976	−	0.949431i	$-0.601661\pi$
$617$	15.7844	−	15.7844i	0.635455	−	0.635455i	0.949431	+	0.313976i	$0.101661\pi$
$618$	−12.2455	−	15.9587i	−0.492587	−	0.641952i
$619$	18.0080	+	31.1907i	0.723802	+	1.25366i	0.959465	+	0.281827i	$0.0909403\pi$
$619$	18.0080	+	31.1907i	0.723802	+	1.25366i	−0.235664	+	0.971835i	$0.575726\pi$
$620$	0.832085	−	3.10538i	0.0334173	−	0.124715i
$621$	0.350804	−	2.66462i	0.0140773	−	0.106928i
$622$	5.46851	+	2.26513i	0.219267	+	0.0908235i
$623$	−6.44757	+	18.5744i	−0.258316	+	0.744168i
$624$	−6.96538	−	6.96538i	−0.278839	−	0.278839i
$625$	−8.63804	+	14.9615i	−0.345521	+	0.598461i
$626$	29.2811	−	3.85493i	1.17031	−	0.154074i
$627$	−0.857375	−	6.51241i	−0.0342402	−	0.260080i
$628$	12.3363	−	9.46601i	0.492274	−	0.377735i
$629$	−1.30719	+	0.541454i	−0.0521209	+	0.0215892i
$630$	−1.16303	+	5.64437i	−0.0463364	+	0.224877i
$631$	35.8279			1.42628			0.713142	−	0.701019i	$-0.247271\pi$
$631$	35.8279			1.42628			0.713142	+	0.701019i	$0.247271\pi$
$632$	−23.7091	−	3.12136i	−0.943098	−	0.124161i
$633$	6.30451	−	3.63991i	0.250582	−	0.144674i
$634$	−3.69091	+	4.81009i	−0.146585	+	0.191033i
$635$	−0.441616	+	0.118331i	−0.0175250	+	0.00469580i
$636$	−0.844545	+	0.844545i	−0.0334884	+	0.0334884i
$637$	−25.0028	+	24.3261i	−0.990646	+	0.963835i
$638$		−	8.68641i		−	0.343898i
$639$	1.20894	−	9.18280i	0.0478249	−	0.363266i
$640$	1.48872	+	2.57853i	0.0588467	+	0.101925i
$641$	−7.15943	+	9.33035i	−0.282780	+	0.368527i	−0.913049	−	0.407851i	$-0.866278\pi$
$641$	−7.15943	+	9.33035i	−0.282780	+	0.368527i	0.630268	+	0.776378i	$0.282945\pi$
$642$	−14.2329	−	1.87380i	−0.561729	−	0.0739530i
$643$	2.04614	−	4.93983i	0.0806920	−	0.194808i	−0.878385	−	0.477955i	$-0.841378\pi$
$643$	2.04614	−	4.93983i	0.0806920	−	0.194808i	0.959077	+	0.283147i	$0.0913784\pi$
$644$	−4.38784	+	2.88853i	−0.172905	+	0.113824i
$645$	6.77529	−	16.3570i	0.266777	−	0.644057i
$646$	−13.5058	−	7.79760i	−0.531380	−	0.306793i
$647$	9.58489	−	35.7713i	0.376821	−	1.40631i	−0.473846	−	0.880608i	$-0.657134\pi$
$647$	9.58489	−	35.7713i	0.376821	−	1.40631i	0.850666	−	0.525706i	$-0.176199\pi$
$648$	−2.97096	−	0.796066i	−0.116710	−	0.0312724i
$649$	7.31635	+	9.53485i	0.287192	+	0.374276i
$650$	2.65183	+	6.40208i	0.104013	+	0.251110i
$651$	−1.94663	+	5.60794i	−0.0762946	+	0.219792i
$652$	9.48625			0.371510
$653$	23.6700	−	18.1627i	0.926281	−	0.710760i	−0.0311223	−	0.999516i	$-0.509908\pi$
$653$	23.6700	−	18.1627i	0.926281	−	0.710760i	0.957403	+	0.288755i	$0.0932415\pi$
$654$	16.6831	+	4.47021i	0.652359	+	0.174799i
$655$	9.19663	−	5.30967i	0.359342	−	0.207466i
$656$	1.96225	+	12.5037i	0.0766128	+	0.488189i
$657$		−	5.00058i		−	0.195091i
$658$	28.4800	−	24.6328i	1.11026	−	0.960285i
$659$	6.23003	−	15.0406i	0.242688	−	0.585900i	−0.754860	−	0.655886i	$-0.772295\pi$
$659$	6.23003	−	15.0406i	0.242688	−	0.585900i	0.997548	+	0.0699857i	$0.0222954\pi$
$660$	1.28213	+	0.740237i	0.0499067	+	0.0288137i
$661$	−7.63729	−	2.04641i	−0.297056	−	0.0795960i	0.107213	−	0.994236i	$-0.465807\pi$
$661$	−7.63729	−	2.04641i	−0.297056	−	0.0795960i	−0.404269	+	0.914640i	$0.632474\pi$
$662$	11.1465	−	14.5264i	0.433222	−	0.564585i
$663$	−8.63586	+	6.62653i	−0.335389	+	0.257353i
$664$	33.6213	−	33.6213i	1.30476	−	1.30476i
$665$	24.6748	−	21.3416i	0.956846	−	0.827591i
$666$	−0.727458			−0.0281884
$667$	−15.9621	+	12.2481i	−0.618055	+	0.474250i
$668$	−4.51611	+	0.594557i	−0.174734	+	0.0230041i
$669$	11.1733	−	1.47099i	0.431985	−	0.0568719i
$670$	−0.271820	+	2.06468i	−0.0105013	+	0.0797654i
$671$	−5.57066	−	13.4488i	−0.215053	−	0.519183i
$672$	4.53667	+	9.36077i	0.175006	+	0.361099i
$673$	−5.94448	−	14.3513i	−0.229143	−	0.553200i	0.766931	−	0.641730i	$-0.221783\pi$
$673$	−5.94448	−	14.3513i	−0.229143	−	0.553200i	−0.996074	+	0.0885301i	$0.971783\pi$
$674$	3.38212	−	5.85801i	0.130275	−	0.225642i
$675$	0.982308	+	0.753751i	0.0378090	+	0.0290119i
$676$	8.44524	+	2.26290i	0.324817	+	0.0870345i
$677$	−7.00957	−	26.1601i	−0.269400	−	1.00541i	−0.959502	−	0.281701i	$-0.909101\pi$
$677$	−7.00957	−	26.1601i	−0.269400	−	1.00541i	0.690103	−	0.723712i	$-0.257565\pi$
$678$	−0.599543	−	1.44742i	−0.0230253	−	0.0555880i
$679$	20.0245	+	13.5795i	0.768468	+	0.521133i
$680$	12.0386	−	4.98657i	0.461661	−	0.191226i
$681$	−6.80982	−	3.93165i	−0.260953	−	0.150661i
$682$	−2.06542	−	1.58486i	−0.0790892	−	0.0606873i
$683$	8.53498	+	6.54912i	0.326582	+	0.250595i	0.759018	−	0.651069i	$-0.225679\pi$
$683$	8.53498	+	6.54912i	0.326582	+	0.250595i	−0.432436	+	0.901664i	$0.642346\pi$
$684$	2.85920	+	3.72619i	0.109324	+	0.142474i
$685$	3.03610	+	1.25759i	0.116003	+	0.0480501i
$686$	−18.8394	+	8.81343i	−0.719292	+	0.336498i
$687$		−	27.9138i		−	1.06498i
$688$	4.66999	+	17.4287i	0.178042	+	0.664461i
$689$	−2.08521	+	7.78211i	−0.0794402	+	0.296475i
$690$	0.764118	+	5.80405i	0.0290895	+	0.220956i
$691$	−4.87355	−	0.641615i	−0.185399	−	0.0244082i	0.0372551	−	0.999306i	$-0.488139\pi$
$691$	−4.87355	−	0.641615i	−0.185399	−	0.0244082i	−0.222654	+	0.974898i	$0.571472\pi$
$692$	7.55906	+	7.55906i	0.287352	+	0.287352i
$693$	−2.26245	−	1.53427i	−0.0859432	−	0.0582820i
$694$	−22.2260	−	9.20630i	−0.843687	−	0.349466i
$695$	−1.94671	+	0.521619i	−0.0738428	+	0.0197861i
$696$	11.5127	+	19.9407i	0.436389	+	0.755849i
$697$	13.9820	−	0.346313i	0.529605	−	0.0131175i
$698$	10.4607	+	6.03950i	0.395944	+	0.228598i
$699$	8.55993	+	8.55993i	0.323766	+	0.323766i
$700$	−0.141719	−	2.41600i	−0.00535647	−	0.0913163i
$701$			17.2691i			0.652244i	0.945328	+	0.326122i	$0.105742\pi$
$701$			17.2691i			0.652244i	−0.945328	+	0.326122i	$0.894258\pi$
$702$	−5.40591	+	1.44851i	−0.204033	+	0.0546705i
$703$	3.26711	+	2.50694i	0.123221	+	0.0945510i
$704$	−8.57267	+	1.12861i	−0.323094	+	0.0425362i
$705$	6.36166	+	23.7420i	0.239594	+	0.894177i
$706$	−6.86283	+	6.86283i	−0.258286	+	0.258286i
$707$	−31.4162	−	2.27562i	−1.18153	−	0.0855836i
$708$	−7.93940	−	3.28861i	−0.298381	−	0.123593i
$709$	−35.5873	+	27.3071i	−1.33651	+	1.02554i	−0.340143	+	0.940374i	$0.610476\pi$
$709$	−35.5873	+	27.3071i	−1.33651	+	1.02554i	−0.996367	+	0.0851668i	$0.972858\pi$
$710$	2.63330	+	20.0019i	0.0988259	+	0.750657i
$711$	−4.73305	+	6.16823i	−0.177503	+	0.231327i
$712$	22.6617	+	2.98346i	0.849282	+	0.111810i
$713$			6.03012i			0.225830i
$714$	−6.15989	+	2.04399i	−0.230528	+	0.0764945i
$715$	9.98657			0.373477
$716$	2.18323	+	0.287428i	0.0815913	+	0.0107417i
$717$	−7.27746	+	27.1598i	−0.271782	+	1.01430i
$718$	−5.24226	+	19.5644i	−0.195639	+	0.730136i
$719$	−23.0924	−	3.04017i	−0.861201	−	0.113379i	−0.313028	−	0.949744i	$-0.601343\pi$
$719$	−23.0924	−	3.04017i	−0.861201	−	0.113379i	−0.548173	+	0.836365i	$0.684677\pi$
$720$	3.83381			0.142878
$721$	35.4143	+	31.4898i	1.31890	+	1.17274i
$722$			24.0528i			0.895153i
$723$	19.0505	+	2.50804i	0.708494	+	0.0932750i
$724$	9.80362	−	12.7763i	0.364349	−	0.474828i
$725$	−1.20986	−	9.18979i	−0.0449330	−	0.341300i
$726$	−8.84953	+	6.79049i	−0.328437	+	0.252019i
$727$	15.1673	+	6.28250i	0.562524	+	0.233005i	0.645781	−	0.763523i	$-0.276532\pi$
$727$	15.1673	+	6.28250i	0.562524	+	0.233005i	−0.0832564	+	0.996528i	$0.526532\pi$
$728$	33.5639	+	22.7612i	1.24396	+	0.843585i
$729$	−0.707107	+	0.707107i	−0.0261891	+	0.0261891i
$730$	2.81911	+	10.5211i	0.104340	+	0.389402i
$731$	19.7682	−	2.60254i	0.731154	−	0.0962583i
$732$	8.25769	+	6.33635i	0.305213	+	0.234198i
$733$	−32.9863	+	8.83865i	−1.21838	+	0.326463i	−0.810043	−	0.586370i	$-0.800556\pi$
$733$	−32.9863	+	8.83865i	−1.21838	+	0.326463i	−0.408333	+	0.912833i	$0.633890\pi$
$734$			28.6683i			1.05817i
$735$	0.186229	−	13.5755i	0.00686916	−	0.500741i
$736$	7.47184	+	7.47184i	0.275416	+	0.275416i
$737$	−0.855474	−	0.493908i	−0.0315118	−	0.0181933i
$738$	6.70970	+	2.58652i	0.246987	+	0.0952112i
$739$	19.2553	+	33.3511i	0.708317	+	1.22684i	0.965481	+	0.260473i	$0.0838785\pi$
$739$	19.2553	+	33.3511i	0.708317	+	1.22684i	−0.257164	+	0.966368i	$0.582788\pi$
$740$	−0.896537	+	0.240226i	−0.0329574	+	0.00883090i
$741$	29.2704	+	12.1242i	1.07528	+	0.445394i
$742$	−2.69608	+	3.97567i	−0.0989764	+	0.145952i
$743$	9.53339	+	9.53339i	0.349746	+	0.349746i	0.860015	−	0.510269i	$-0.170454\pi$
$743$	9.53339	+	9.53339i	0.349746	+	0.349746i	−0.510269	+	0.860015i	$0.670454\pi$
$744$	6.84195	+	0.900760i	0.250838	+	0.0330235i
$745$	−0.295558	−	2.24499i	−0.0108284	−	0.0822499i
$746$	6.19479	−	23.1193i	0.226807	−	0.846456i
$747$	−4.00104	−	14.9321i	−0.146390	−	0.546336i
$748$			1.66729i			0.0609622i
$749$	33.7624	−	1.98045i	1.23365	−	0.0723639i
$750$	−12.5536	−	5.19987i	−0.458393	−	0.189872i
$751$	21.2752	+	27.7264i	0.776344	+	1.01175i	0.999318	+	0.0369268i	$0.0117568\pi$
$751$	21.2752	+	27.7264i	0.776344	+	1.01175i	−0.222974	+	0.974824i	$0.571577\pi$
$752$	−19.8734	−	15.2494i	−0.724709	−	0.556089i
$753$	15.6902	+	12.0395i	0.571783	+	0.438744i
$754$	36.2837	+	20.9484i	1.32138	+	0.762896i
$755$	20.9914	−	8.69492i	0.763955	−	0.316440i
$756$	1.94951	+	0.141212i	0.0709031	+	0.00513584i
$757$	−8.60370	−	20.7712i	−0.312707	−	0.754941i	−0.999603	−	0.0281851i	$-0.991027\pi$
$757$	−8.60370	−	20.7712i	−0.312707	−	0.754941i	0.686896	−	0.726756i	$-0.258973\pi$
$758$	−2.09944	−	7.83520i	−0.0762550	−	0.284587i
$759$	−2.68225	−	0.718706i	−0.0973594	−	0.0260874i
$760$	−30.0887	−	23.0879i	−1.09143	−	0.837486i
$761$	−7.52062	+	13.0261i	−0.272622	+	0.472195i	−0.969532	−	0.244963i	$-0.921224\pi$
$761$	−7.52062	+	13.0261i	−0.272622	+	0.472195i	0.696910	+	0.717158i	$0.254558\pi$
$762$	−0.101306	−	0.244575i	−0.00366994	−	0.00886003i
$763$	−40.5834	−	2.93965i	−1.46922	−	0.106422i
$764$	2.49356	+	6.01999i	0.0902139	+	0.217796i
$765$	0.552977	−	4.20028i	0.0199929	−	0.151861i
$766$	−0.562851	+	0.0741007i	−0.0203366	+	0.00267737i
$767$	−57.4721	+	7.56634i	−2.07520	+	0.273205i
$768$	11.9110	−	9.13961i	0.429800	−	0.329797i
$769$	13.0051			0.468978			0.234489	−	0.972119i	$-0.424658\pi$
$769$	13.0051			0.468978			0.234489	+	0.972119i	$0.424658\pi$
$770$	5.62507	+	1.95258i	0.202713	+	0.0703661i
$771$	−12.3078	+	12.3078i	−0.443256	+	0.443256i
$772$	−0.377724	+	0.289838i	−0.0135946	+	0.0104315i
$773$	25.0142	−	32.5991i	0.899698	−	1.17251i	−0.0846748	−	0.996409i	$-0.526985\pi$
$773$	25.0142	−	32.5991i	0.899698	−	1.17251i	0.984372	−	0.176100i	$-0.0563482\pi$
$774$	9.90213	+	2.65327i	0.355925	+	0.0953698i
$775$	−2.40586	−	1.38902i	−0.0864210	−	0.0498952i
$776$	10.7637	−	25.9859i	0.386395	−	0.932841i
$777$	1.68313	−	0.322810i	0.0603818	−	0.0115807i
$778$			0.449754i			0.0161244i
$779$	−21.2205	−	34.7391i	−0.760305	−	1.24466i
$780$	−6.18404	+	3.57036i	−0.221424	+	0.127839i
$781$	−9.24354	−	2.47680i	−0.330760	−	0.0886269i
$782$	−5.23046	+	4.01347i	−0.187041	+	0.143521i
$783$	7.48611			0.267532
$784$	8.27182	+	11.0918i	0.295422	+	0.396136i
$785$	15.6223	+	37.7156i	0.557585	+	1.34613i
$786$	3.74319	+	4.87822i	0.133515	+	0.174000i
$787$	−6.08516	−	1.63051i	−0.216912	−	0.0581215i	0.148726	−	0.988878i	$-0.452483\pi$
$787$	−6.08516	−	1.63051i	−0.216912	−	0.0581215i	−0.365639	+	0.930757i	$0.619149\pi$
$788$	2.69757	−	10.0675i	0.0960968	−	0.358638i
$789$	17.2051	+	9.93334i	0.612516	+	0.353636i
$790$	6.48081	−	15.6461i	0.230577	−	0.556662i
$791$	2.02946	+	3.08287i	0.0721594	+	0.109614i
$792$	−1.21613	+	2.93600i	−0.0432133	+	0.104326i
$793$	69.6107	+	9.16443i	2.47195	+	0.325438i
$794$	1.74091	−	2.26880i	0.0617825	−	0.0805165i
$795$	−1.56781	−	2.71553i	−0.0556046	−	0.0963099i
$796$	1.10391	−	8.38506i	0.0391272	−	0.297201i
$797$		−	9.08496i		−	0.321806i	−0.986970	−	0.160903i	$-0.948559\pi$
$797$		−	9.08496i		−	0.321806i	0.986970	−	0.160903i	$-0.0514406\pi$
$798$	14.1164	+	12.5521i	0.499716	+	0.444340i
$799$	−19.5736	+	19.5736i	−0.692463	+	0.692463i
$800$	−4.70219	+	1.25995i	−0.166247	+	0.0445459i
$801$	4.52395	−	5.89572i	0.159846	−	0.208315i
$802$	−26.9907	+	15.5831i	−0.953075	+	0.550258i
$803$	−5.12244	−	0.674382i	−0.180767	−	0.0237984i
$804$	0.706320			0.0249100
$805$	−4.34350	−	13.0898i	−0.153088	−	0.461355i
$806$	11.6011	−	4.80533i	0.408631	−	0.169261i
$807$	−3.37840	+	2.59234i	−0.118925	+	0.0912547i
$808$	4.77960	+	36.3046i	0.168146	+	1.27719i
$809$	−19.8759	+	2.61672i	−0.698801	+	0.0919989i	−0.471553	−	0.881838i	$-0.656306\pi$
$809$	−19.8759	+	2.61672i	−0.698801	+	0.0919989i	−0.227248	+	0.973837i	$0.572973\pi$
$810$	1.08909	−	1.88637i	0.0382669	−	0.0662802i
$811$	−6.59061	−	6.59061i	−0.231427	−	0.231427i	0.581861	−	0.813288i	$-0.302325\pi$
$811$	−6.59061	−	6.59061i	−0.231427	−	0.231427i	−0.813288	+	0.581861i	$0.802325\pi$
$812$	−9.57219	−	11.0672i	−0.335918	−	0.388383i
$813$	13.5804	+	5.62519i	0.476286	+	0.197284i
$814$	−0.0981055	+	0.745185i	−0.00343860	+	0.0261187i
$815$	−6.44581	+	24.0561i	−0.225787	+	0.842647i
$816$	2.15879	+	3.73914i	0.0755729	+	0.130896i
$817$	−35.3282	−	46.0406i	−1.23598	−	1.61076i
$818$	−15.4039	+	15.4039i	−0.538584	+	0.538584i
$819$	11.8649	−	5.75031i	0.414594	−	0.200932i
$820$	9.12334	+	0.971970i	0.318601	+	0.0339427i
$821$	−0.281403	+	0.487404i	−0.00982102	+	0.0170105i	−0.870894	−	0.491471i	$-0.836460\pi$
$821$	−0.281403	+	0.487404i	−0.00982102	+	0.0170105i	0.861073	+	0.508481i	$0.169793\pi$
$822$	−0.492485	+	1.83798i	−0.0171774	+	0.0641069i
$823$	3.46872	−	0.456665i	0.120912	−	0.0159183i	−0.0698274	−	0.997559i	$-0.522245\pi$
$823$	3.46872	−	0.456665i	0.120912	−	0.0159183i	0.190739	+	0.981641i	$0.438912\pi$
$824$	27.5459	−	47.7109i	0.959607	−	1.66209i
$825$	0.904594	−	0.904594i	0.0314939	−	0.0314939i
$826$	−33.8513	−	6.97513i	−1.17784	−	0.242696i
$827$	−13.6282	+	32.9015i	−0.473900	+	1.14410i	0.488525	+	0.872550i	$0.337535\pi$
$827$	−13.6282	+	32.9015i	−0.473900	+	1.14410i	−0.962425	+	0.271546i	$0.912465\pi$
$828$	1.91789	−	0.513897i	0.0666513	−	0.0178592i
$829$	19.1190	+	5.12293i	0.664031	+	0.177927i	0.575065	−	0.818108i	$-0.304977\pi$
$829$	19.1190	+	5.12293i	0.664031	+	0.177927i	0.0889665	+	0.996035i	$0.471644\pi$
$830$	16.8361	+	29.1610i	0.584390	+	1.01219i
$831$	−0.962554	−	1.25442i	−0.0333906	−	0.0435155i
$832$	15.9598	−	38.5304i	0.553307	−	1.33580i
$833$	13.3452	−	7.46266i	0.462383	−	0.258566i
$834$	−0.446574	−	1.07812i	−0.0154636	−	0.0373324i
$835$	1.56092	−	11.8563i	0.0540178	−	0.410306i
$836$	4.20259	−	2.42636i	0.145350	−	0.0839176i
$837$	1.36586	−	1.78002i	0.0472110	−	0.0615266i
$838$	23.1649	+	13.3742i	0.800217	+	0.462006i
$839$	18.0891	−	7.49275i	0.624505	−	0.258678i	−0.0479114	−	0.998852i	$-0.515257\pi$
$839$	18.0891	−	7.49275i	0.624505	−	0.258678i	0.672416	+	0.740173i	$0.265257\pi$
$840$	−15.5009	+	2.97295i	−0.534832	+	0.102576i
$841$	−19.1215	−	19.1215i	−0.659361	−	0.659361i
$842$	−1.76222	+	13.3854i	−0.0607300	+	0.461290i
$843$	−12.9360	−	22.4058i	−0.445539	−	0.771697i
$844$	4.26678	+	3.27402i	0.146869	+	0.112696i
$845$	−11.4769	+	19.8786i	−0.394818	+	0.683844i
$846$	−13.1488	+	5.44641i	−0.452065	+	0.187251i
$847$	17.4620	−	19.6382i	0.600000	−	0.674777i
$848$	2.95237	+	1.22291i	0.101385	+	0.0419950i
$849$	−1.26799	−	1.65248i	−0.0435174	−	0.0567129i
$850$	−0.396447	−	3.01131i	−0.0135980	−	0.103287i
$851$	1.50768	−	0.870460i	0.0516826	−	0.0298390i
$852$	6.60942	−	1.77099i	0.226435	−	0.0606731i
$853$	−11.5830	−	11.5830i	−0.396595	−	0.396595i	0.480435	−	0.877030i	$-0.340479\pi$
$853$	−11.5830	−	11.5830i	−0.396595	−	0.396595i	−0.877030	+	0.480435i	$0.840479\pi$
$854$	37.4173	+	18.7723i	1.28039	+	0.642375i
$855$	−11.3920	+	4.71872i	−0.389598	+	0.161377i
$856$	−10.1760	−	37.9775i	−0.347810	−	1.29804i
$857$	−43.0710	+	24.8671i	−1.47128	+	0.849443i	−0.999479	−	0.0322634i	$-0.989728\pi$
$857$	−43.0710	+	24.8671i	−1.47128	+	0.849443i	−0.471799	+	0.881706i	$0.656395\pi$
$858$	0.754763	+	5.73300i	0.0257672	+	0.195721i
$859$	0.808703	+	3.01812i	0.0275926	+	0.102977i	0.978349	−	0.206963i	$-0.0663579\pi$
$859$	0.808703	+	3.01812i	0.0275926	+	0.102977i	−0.950756	+	0.309940i	$0.899691\pi$
$860$	13.0798			0.446018
$861$	−16.6721	−	3.00703i	−0.568182	−	0.102479i
$862$	1.03000			0.0350819
$863$	11.0025	+	41.0620i	0.374531	+	1.39777i	0.854029	+	0.520225i	$0.174152\pi$
$863$	11.0025	+	41.0620i	0.374531	+	1.39777i	−0.479499	+	0.877543i	$0.659181\pi$
$864$	−0.513184	−	3.89802i	−0.0174589	−	0.132613i
$865$	−24.3052	+	14.0326i	−0.826403	+	0.477124i
$866$	3.71520	+	13.8653i	0.126248	+	0.471163i
$867$	−11.2980	+	4.67979i	−0.383701	+	0.158934i
$868$	−4.37799	+	0.256806i	−0.148599	+	0.00871657i
$869$	5.68025	+	5.68025i	0.192689	+	0.192689i
$870$	−15.7505	+	4.22034i	−0.533993	+	0.143083i
$871$	4.12618	−	2.38225i	0.139810	−	0.0807194i
$872$	6.17428	+	46.8983i	0.209087	+	1.58818i
$873$	−5.56695	−	7.25500i	−0.188413	−	0.245544i
$874$	17.7281	+	7.34324i	0.599664	+	0.248389i
$875$	31.3528	+	6.46032i	1.05992	+	0.218399i
$876$	3.41310	−	1.41375i	0.115318	−	0.0477662i
$877$	−7.50807	+	13.0044i	−0.253530	+	0.439126i	−0.964495	−	0.264101i	$-0.914925\pi$
$877$	−7.50807	+	13.0044i	−0.253530	+	0.439126i	0.710966	+	0.703227i	$0.248258\pi$
$878$	−34.6378	−	26.5785i	−1.16897	−	0.896983i
$879$	−16.6359	−	28.8142i	−0.561115	−	0.971880i
$880$	0.517031	−	3.92724i	0.0174291	−	0.132387i
$881$	−12.1127	−	12.1127i	−0.408086	−	0.408086i	0.472985	−	0.881071i	$-0.343177\pi$
$881$	−12.1127	−	12.1127i	−0.408086	−	0.408086i	−0.881071	+	0.472985i	$0.843177\pi$
$882$	7.80738	−	0.919100i	0.262888	−	0.0309477i
$883$	−10.6098	+	4.39474i	−0.357049	+	0.147895i	−0.553996	−	0.832520i	$-0.686898\pi$
$883$	−10.6098	+	4.39474i	−0.357049	+	0.147895i	0.196946	+	0.980414i	$0.436898\pi$
$884$	−6.96439	−	4.02089i	−0.234238	−	0.135237i
$885$	13.7343	−	17.8989i	0.461673	−	0.601664i
$886$	13.3722	−	7.72043i	0.449247	−	0.259373i
$887$	0.773028	−	5.87173i	0.0259557	−	0.197153i	−0.973554	−	0.228456i	$-0.926632\pi$
$887$	0.773028	−	5.87173i	0.0259557	−	0.197153i	0.999510	+	0.0313027i	$0.00996559\pi$
$888$	−0.762437	−	1.84069i	−0.0255857	−	0.0617694i
$889$	0.342924	+	0.520921i	0.0115013	+	0.0174711i
$890$	−6.19449	+	14.9548i	−0.207640	+	0.501287i
$891$	0.628978	+	0.819699i	0.0210715	+	0.0274610i
$892$	4.16291	+	7.21036i	0.139384	+	0.241421i
$893$	77.8222	+	20.8524i	2.60422	+	0.697799i
$894$	1.26644	−	0.339342i	0.0423562	−	0.0113493i
$895$	−2.21237	+	5.34113i	−0.0739513	+	0.178534i
$896$	2.69884	−	3.03519i	0.0901621	−	0.101399i
$897$	9.47068	−	9.47068i	0.316217	−	0.316217i
$898$	0.910910	−	1.57774i	0.0303975	−	0.0526500i
$899$	−16.6527	+	2.19236i	−0.555397	+	0.0731194i
$900$	−0.236750	+	0.883564i	−0.00789167	+	0.0294521i
$901$	1.76565	−	3.05819i	0.0588223	−	0.101883i
$902$	3.55443	−	6.52439i	0.118350	−	0.217238i
$903$	−24.0881	−	1.74481i	−0.801600	−	0.0580637i
$904$	3.03405	−	3.03405i	0.100911	−	0.100911i
$905$	25.7379	+	33.5423i	0.855556	+	1.11498i
$906$	6.57798	+	11.3934i	0.218539	+	0.378520i
$907$	−13.5958	+	50.7404i	−0.451443	+	1.68481i	0.246898	+	0.969042i	$0.420589\pi$
$907$	−13.5958	+	50.7404i	−0.451443	+	1.68481i	−0.698341	+	0.715766i	$0.746078\pi$
$908$	0.758256	−	5.75952i	0.0251636	−	0.191137i
$909$	10.9991	+	4.55597i	0.364816	+	0.151112i
$910$	−21.7217	+	18.7874i	−0.720066	+	0.622796i
$911$	−3.14656	−	3.14656i	−0.104250	−	0.104250i	0.653058	−	0.757308i	$-0.273486\pi$
$911$	−3.14656	−	3.14656i	−0.104250	−	0.104250i	−0.757308	+	0.653058i	$0.773486\pi$
$912$	6.28327	−	10.8830i	0.208060	−	0.360371i
$913$	−15.8355	+	2.08479i	−0.524080	+	0.0689964i
$914$	−5.64188	−	42.8543i	−0.186617	−	1.41749i
$915$	−21.6793	+	16.6351i	−0.716695	+	0.549939i
$916$	19.0523	−	7.89173i	0.629507	−	0.260750i
$917$	−10.8254	−	9.62573i	−0.357485	−	0.317870i
$918$	2.45305			0.0809627
$919$	43.3410	+	5.70595i	1.42969	+	0.188222i	0.805289	−	0.592883i	$-0.202010\pi$
$919$	43.3410	+	5.70595i	1.42969	+	0.188222i	0.624400	+	0.781105i	$0.285344\pi$
$920$	−13.8851	+	8.01658i	−0.457779	+	0.264299i
$921$	−0.981213	+	1.27874i	−0.0323321	+	0.0421360i
$922$	6.95981	−	1.86487i	0.229209	−	0.0614164i
$923$	32.6378	−	32.6378i	1.07429	−	1.07429i
$924$	0.407566	−	1.97798i	0.0134079	−	0.0650706i
$925$			0.802034i			0.0263707i
$926$	−5.47766	+	41.6070i	−0.180007	+	1.36729i
$927$	−8.95580	−	15.5119i	−0.294147	−	0.509478i
$928$	−17.9176	+	23.3506i	−0.588173	+	0.766521i
$929$	2.24004	+	0.294907i	0.0734933	+	0.00967557i	0.167183	−	0.985926i	$-0.446533\pi$
$929$	2.24004	+	0.294907i	0.0734933	+	0.00967557i	−0.0936899	+	0.995601i	$0.529866\pi$
$930$	−1.87022	+	4.51512i	−0.0613271	+	0.148057i
$931$	−38.2313	−	22.7777i	−1.25298	−	0.746510i
$932$	−3.42246	+	8.26255i	−0.112106	+	0.270649i
$933$	4.56445	+	2.63529i	0.149433	+	0.0862754i
$934$	−6.34637	+	23.6850i	−0.207660	+	0.774996i
$935$	−4.22806	−	1.13291i	−0.138272	−	0.0370500i
$936$	−9.33101	−	12.1604i	−0.304994	−	0.397475i
$937$	−14.2038	−	34.2909i	−0.464017	−	1.12024i	−0.966734	−	0.255785i	$-0.917666\pi$
$937$	−14.2038	−	34.2909i	−0.464017	−	1.12024i	0.502717	−	0.864451i	$-0.332334\pi$
$938$	2.78990	−	0.535081i	0.0910935	−	0.0174710i
$939$	26.2980			0.858203
$940$	−14.4064	+	11.0544i	−0.469883	+	0.360554i
$941$	−5.07403	−	1.35958i	−0.165409	−	0.0443211i	0.175164	−	0.984539i	$-0.443954\pi$
$941$	−5.07403	−	1.35958i	−0.165409	−	0.0443211i	−0.340573	+	0.940218i	$0.610621\pi$
$942$	−20.4707	+	11.8188i	−0.666972	+	0.385077i
$943$	−17.0011	+	2.66802i	−0.553630	+	0.0868827i
$944$			22.9927i			0.748349i
$945$	−1.68277	+	4.84779i	−0.0547405	+	0.157699i
$946$	4.05334	−	9.78562i	0.131785	−	0.318158i
$947$	−27.3678	−	15.8008i	−0.889332	−	0.513456i	−0.0156083	−	0.999878i	$-0.504968\pi$
$947$	−27.3678	−	15.8008i	−0.889332	−	0.513456i	−0.873724	+	0.486422i	$0.838302\pi$
$948$	−5.54819	−	1.48663i	−0.180197	−	0.0482836i
$949$	15.1704	−	19.7704i	0.492451	−	0.641775i
$950$	−7.01340	+	5.38157i	−0.227545	+	0.174601i
$951$	−3.81747	+	3.81747i	−0.123790	+	0.123790i
$952$	−11.6280	−	13.4441i	−0.376865	−	0.435725i
$953$	−26.8308			−0.869135			−0.434568	−	0.900639i	$-0.643099\pi$
$953$	−26.8308			−0.869135			−0.434568	+	0.900639i	$0.643099\pi$
$954$	1.44041	−	1.10527i	0.0466351	−	0.0357844i
$955$	−16.9604	+	2.23287i	−0.548825	+	0.0722541i
$956$	−20.5952	+	2.71140i	−0.666095	+	0.0876931i
$957$	1.00958	−	7.66854i	0.0326352	−	0.247889i
$958$	−0.102394	−	0.247201i	−0.00330820	−	0.00798670i
$959$	0.323862	−	4.47109i	0.0104581	−	0.144379i
$960$	6.21153	+	14.9960i	0.200476	+	0.483992i
$961$	12.9830	−	22.4872i	0.418806	−	0.725393i
$962$	−2.87610	−	2.20691i	−0.0927291	−	0.0711535i
$963$	−12.3473	−	3.30846i	−0.397887	−	0.106614i
$964$	3.67406	+	13.7118i	0.118334	+	0.441627i
$965$	−0.478336	−	1.15481i	−0.0153982	−	0.0371745i
$966$	7.18620	−	3.48277i	0.231212	−	0.112056i
$967$	−21.5963	+	8.94549i	−0.694491	+	0.287668i	−0.701870	−	0.712305i	$-0.747651\pi$
$967$	−21.5963	+	8.94549i	−0.694491	+	0.287668i	0.00737884	+	0.999973i	$0.497651\pi$
$968$	−26.4570	−	15.2750i	−0.850361	−	0.490956i
$969$	−11.0170	−	8.45361i	−0.353916	−	0.271569i
$970$	15.8028	+	12.1259i	0.507396	+	0.389338i
$971$	−5.18623	−	6.75883i	−0.166434	−	0.216901i	0.702689	−	0.711497i	$-0.251983\pi$
$971$	−5.18623	−	6.75883i	−0.166434	−	0.216901i	−0.869123	+	0.494596i	$0.835316\pi$
$972$	−0.682541	−	0.282718i	−0.0218925	−	0.00906817i
$973$	1.51166	+	2.29630i	0.0484616	+	0.0736159i
$974$			33.3293i			1.06794i
$975$	1.59700	+	5.96010i	0.0511451	+	0.190876i
$976$	7.20785	−	26.9001i	0.230718	−	0.861050i
$977$	−5.77548	−	43.8691i	−0.184774	−	1.40350i	−0.792752	−	0.609544i	$-0.791353\pi$
$977$	−5.77548	−	43.8691i	−0.184774	−	1.40350i	0.607978	−	0.793954i	$-0.291981\pi$
$978$	−14.2970	−	1.88224i	−0.457169	−	0.0601874i
$979$	−5.42930	−	5.42930i	−0.173521	−	0.173521i
$980$	9.31850	−	3.71093i	0.297668	−	0.118541i
$981$	14.2086	+	5.88539i	0.453645	+	0.187906i
$982$	2.66795	−	0.714876i	0.0851378	−	0.0228126i
$983$	12.1692	+	21.0776i	0.388136	+	0.672271i	0.992199	−	0.124666i	$-0.0397859\pi$
$983$	12.1692	+	21.0776i	0.388136	+	0.672271i	−0.604063	+	0.796936i	$0.706453\pi$
$984$	0.487653	+	19.6884i	0.0155458	+	0.627645i
$985$	23.6970	+	13.6815i	0.755049	+	0.435927i
$986$	−12.9852	−	12.9852i	−0.413532	−	0.413532i
$987$	28.0057	−	18.4362i	0.891430	−	0.586831i
$988$			23.4060i			0.744644i
$989$	−23.6974	+	6.34969i	−0.753532	+	0.201908i
$990$	−1.78546	−	1.37003i	−0.0567456	−	0.0435425i
$991$	17.1699	−	2.26045i	0.545418	−	0.0718057i	0.147218	−	0.989104i	$-0.452968\pi$
$991$	17.1699	−	2.26045i	0.545418	−	0.0718057i	0.398201	+	0.917298i	$0.369635\pi$
$992$	2.28313	+	8.52075i	0.0724894	+	0.270534i
$993$	11.5287	−	11.5287i	0.365853	−	0.365853i
$994$	24.7650	−	12.0023i	0.785499	−	0.380690i
$995$	20.5135	+	8.49696i	0.650321	+	0.269372i
$996$	9.06058	−	6.95243i	0.287096	−	0.220296i
$997$	4.43922	+	33.7192i	0.140591	+	1.06790i	0.905677	+	0.423969i	$0.139363\pi$
$997$	4.43922	+	33.7192i	0.140591	+	1.06790i	−0.765086	+	0.643929i	$0.777303\pi$
$998$	19.2425	−	25.0774i	0.609112	−	0.793810i
$999$	−0.642215	−	0.0845492i	−0.0203188	−	0.00267502i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	861.2.bs.a.208.19	yes	448
7.3	odd	6	inner	861.2.bs.a.577.38	yes	448
41.14	odd	8	inner	861.2.bs.a.670.38	yes	448
287.178	even	24	inner	861.2.bs.a.178.19	✓	448

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
861.2.bs.a.178.19	✓	448	287.178	even	24	inner
861.2.bs.a.208.19	yes	448	1.1	even	1	trivial
861.2.bs.a.577.38	yes	448	7.3	odd	6	inner
861.2.bs.a.670.38	yes	448	41.14	odd	8	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:	\( N \)	\(=\)	\( 861 = 3 \cdot 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	861.bs (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.290665 - 1.08478i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(0.639799 - 0.369388i) q^{4} +(0.501991 + 1.87345i) q^{5} +(-1.03756 + 0.429770i) q^{6} +(2.20989 - 1.45478i) q^{7} +(-2.17489 - 2.17489i) q^{8} +(-0.965926 + 0.258819i) q^{9} +O(q^{10})\)	\(q+(-0.290665 - 1.08478i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(0.639799 - 0.369388i) q^{4} +(0.501991 + 1.87345i) q^{5} +(-1.03756 + 0.429770i) q^{6} +(2.20989 - 1.45478i) q^{7} +(-2.17489 - 2.17489i) q^{8} +(-0.965926 + 0.258819i) q^{9} +(1.88637 - 1.08909i) q^{10} +(0.134861 + 1.02437i) q^{11} +(-0.449739 - 0.586111i) q^{12} +(-4.60410 - 1.90708i) q^{13} +(-2.22044 - 1.97438i) q^{14} +(1.79190 - 0.742231i) q^{15} +(-0.988328 + 1.71183i) q^{16} +(1.73291 + 1.32971i) q^{17} +(0.561521 + 0.972583i) q^{18} +(0.829818 - 6.30309i) q^{19} +(1.01321 + 1.01321i) q^{20} +(-1.73078 - 2.00110i) q^{21} +(1.07201 - 0.444042i) q^{22} +(-2.32754 - 1.34381i) q^{23} +(-1.87240 + 2.44017i) q^{24} +(1.07229 - 0.619086i) q^{25} +(-0.730504 + 5.54873i) q^{26} +(0.382683 + 0.923880i) q^{27} +(0.876509 - 1.74707i) q^{28} +(2.86481 - 6.91626i) q^{29} +(-1.32600 - 1.72807i) q^{30} +(-1.12183 - 1.94307i) q^{31} +(-3.79769 - 1.01759i) q^{32} +(0.998003 - 0.267414i) q^{33} +(0.938741 - 2.26632i) q^{34} +(3.83481 + 3.40985i) q^{35} +(-0.522394 + 0.522394i) q^{36} +(-0.323878 + 0.560974i) q^{37} +(-7.07864 + 0.931920i) q^{38} +(-1.28981 + 4.81363i) q^{39} +(2.98279 - 5.16634i) q^{40} +(4.98187 - 4.02256i) q^{41} +(-1.66767 + 2.45916i) q^{42} +(6.45467 - 6.45467i) q^{43} +(0.464674 + 0.605575i) q^{44} +(-0.969772 - 1.67969i) q^{45} +(-0.781195 + 2.91546i) q^{46} +(-1.65414 + 12.5644i) q^{47} +(1.82619 + 0.756433i) q^{48} +(2.76724 - 6.42980i) q^{49} +(-0.983245 - 0.983245i) q^{50} +(1.09214 - 1.89165i) q^{51} +(-3.65015 + 0.480551i) q^{52} +(-0.211019 - 1.60285i) q^{53} +(0.890969 - 0.683665i) q^{54} +(-1.85141 + 0.766880i) q^{55} +(-7.97026 - 1.64229i) q^{56} -6.35748 q^{57} +(-8.33529 - 1.09736i) q^{58} +(10.0737 - 5.81607i) q^{59} +(0.872288 - 1.13679i) q^{60} +(-13.6089 + 3.64649i) q^{61} +(-1.78172 + 1.78172i) q^{62} +(-1.75807 + 1.97717i) q^{63} +8.36873i q^{64} +(1.26161 - 9.58290i) q^{65} +(-0.580168 - 1.00488i) q^{66} +(-0.582016 + 0.758499i) q^{67} +(1.59990 + 0.210630i) q^{68} +(-1.02851 + 2.48303i) q^{69} +(2.58427 - 5.15103i) q^{70} +(-3.54443 + 8.55701i) q^{71} +(2.66369 + 1.53788i) q^{72} +(-1.29425 + 4.83019i) q^{73} +(0.702670 + 0.188280i) q^{74} +(-0.753751 - 0.982308i) q^{75} +(-1.79737 - 4.33924i) q^{76} +(1.78826 + 2.06755i) q^{77} +5.59661 q^{78} +(6.16823 - 4.73305i) q^{79} +(-3.70318 - 0.992263i) q^{80} +(0.866025 - 0.500000i) q^{81} +(-5.81163 - 4.23499i) q^{82} +15.4588i q^{83} +(-1.84654 - 0.640971i) q^{84} +(-1.62125 + 3.91404i) q^{85} +(-8.87801 - 5.12572i) q^{86} +(-7.23103 - 1.93755i) q^{87} +(1.93458 - 2.52120i) q^{88} +(-5.89572 + 4.52395i) q^{89} +(-1.54021 + 1.54021i) q^{90} +(-12.9489 + 2.48350i) q^{91} -1.98555 q^{92} +(-1.78002 + 1.36586i) q^{93} +(14.1104 - 1.85767i) q^{94} +(12.2251 - 1.60947i) q^{95} +(-0.513184 + 3.89802i) q^{96} +(3.49953 + 8.44862i) q^{97} +(-7.77923 - 1.13292i) q^{98} +(-0.395392 - 0.954560i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 448 q+O(q^{10}) \) 448 * q	\( 448 q - 8 q^{14} + 224 q^{16} - 48 q^{19} + 80 q^{22} + 72 q^{24} + 48 q^{26} - 64 q^{29} + 16 q^{30} + 40 q^{32} - 80 q^{35} - 48 q^{37} + 72 q^{38} - 64 q^{42} + 64 q^{43} - 48 q^{44} + 24 q^{46} - 48 q^{47} + 80 q^{49} - 128 q^{50} - 72 q^{52} + 16 q^{53} - 112 q^{56} - 8 q^{58} + 64 q^{65} - 32 q^{67} + 144 q^{68} + 40 q^{70} - 32 q^{71} + 72 q^{73} - 56 q^{74} - 96 q^{75} + 192 q^{77} - 96 q^{78} + 8 q^{79} - 72 q^{80} - 144 q^{82} - 32 q^{85} + 88 q^{88} - 96 q^{89} + 48 q^{91} - 216 q^{94} - 64 q^{95} - 120 q^{96} + 240 q^{98} + 32 q^{99}+O(q^{100}) \) 448 * q - 8 * q^14 + 224 * q^16 - 48 * q^19 + 80 * q^22 + 72 * q^24 + 48 * q^26 - 64 * q^29 + 16 * q^30 + 40 * q^32 - 80 * q^35 - 48 * q^37 + 72 * q^38 - 64 * q^42 + 64 * q^43 - 48 * q^44 + 24 * q^46 - 48 * q^47 + 80 * q^49 - 128 * q^50 - 72 * q^52 + 16 * q^53 - 112 * q^56 - 8 * q^58 + 64 * q^65 - 32 * q^67 + 144 * q^68 + 40 * q^70 - 32 * q^71 + 72 * q^73 - 56 * q^74 - 96 * q^75 + 192 * q^77 - 96 * q^78 + 8 * q^79 - 72 * q^80 - 144 * q^82 - 32 * q^85 + 88 * q^88 - 96 * q^89 + 48 * q^91 - 216 * q^94 - 64 * q^95 - 120 * q^96 + 240 * q^98 + 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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