LMFDB - Embedded newform 861.2.bs.a.178.19

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			178.19
Character	$\chi$	$=$	861.178
Dual form			861.2.bs.a.208.19

$q$-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 $\left(\mathbb{Z}/861\mathbb{Z}\right)^\times$.

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

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	0.783756	+	0.621069i	$0.213301\pi$
$2$	−0.290665	+	1.08478i	−0.205531	+	0.767052i	−0.989287	+	0.145983i	$0.953365\pi$
$3$	−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	−0.758108	−	0.652129i	$-0.773876\pi$
$5$	0.501991	−	1.87345i	0.224497	−	0.837835i	0.982605	−	0.185706i	$-0.0594572\pi$
$6$	−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	−0.959013	−	0.283363i	$-0.908550\pi$
$11$	0.134861	−	1.02437i	0.0406621	−	0.308859i	0.999675	−	0.0254964i	$-0.00811664\pi$
$12$	−0.449739	+	0.586111i	−0.129828	+	0.169196i
$13$	−4.60410	+	1.90708i	−1.27695	+	0.528929i	−0.915069	−	0.403297i	$-0.867864\pi$
$13$	−4.60410	+	1.90708i	−1.27695	+	0.528929i	−0.361877	+	0.932226i	$0.617864\pi$
$14$	−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	−0.376870	−	0.926266i	$-0.623000\pi$
$17$	1.73291	−	1.32971i	0.420293	−	0.322502i	0.797163	+	0.603764i	$0.206333\pi$
$18$	0.561521	−	0.972583i	0.132352	−	0.229240i
$19$	0.829818	+	6.30309i	0.190373	+	1.44603i	0.773577	+	0.633702i	$0.218466\pi$
$19$	0.829818	+	6.30309i	0.190373	+	1.44603i	−0.583204	+	0.812326i	$0.698201\pi$
$20$	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	−0.722633	−	0.691231i	$-0.757069\pi$
$23$	−2.32754	+	1.34381i	−0.485326	+	0.280203i	0.237307	+	0.971435i	$0.423735\pi$
$24$	−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	0.930209	+	0.367031i	$0.119626\pi$
$29$	2.86481	+	6.91626i	0.531982	+	1.28432i	−0.398227	+	0.917287i	$0.630374\pi$
$30$	−1.32600	+	1.72807i	−0.242093	+	0.315502i
$31$	−1.12183	+	1.94307i	−0.201487	+	0.348986i	−0.949008	−	0.315252i	$-0.897911\pi$
$31$	−1.12183	+	1.94307i	−0.201487	+	0.348986i	0.747521	+	0.664239i	$0.231244\pi$
$32$	−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	0.838174	−	0.545402i	$-0.183623\pi$
$37$	−0.323878	−	0.560974i	−0.0532453	−	0.0922235i	−0.891420	+	0.453179i	$0.850290\pi$
$38$	−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	0.999879	−	0.0155511i	$-0.00495027\pi$
$43$	6.45467	+	6.45467i	0.984328	+	0.984328i	−0.0155511	+	0.999879i	$0.504950\pi$
$44$	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	−0.499130	−	0.866527i	$-0.666347\pi$
$47$	−1.65414	−	12.5644i	−0.241281	−	1.83271i	0.257848	−	0.966185i	$-0.416987\pi$
$48$	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	−0.999807	−	0.0196349i	$-0.993750\pi$
$53$	−0.211019	+	1.60285i	−0.0289857	+	0.220168i	0.970821	+	0.239803i	$0.0770830\pi$
$54$	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	0.982342	−	0.187092i	$-0.0599063\pi$
$59$	10.0737	+	5.81607i	1.31149	+	0.757187i	0.329145	+	0.944280i	$0.393240\pi$
$60$	0.872288	+	1.13679i	0.112612	+	0.146759i
$61$	−13.6089	−	3.64649i	−1.74244	−	0.466885i	−0.759452	−	0.650563i	$-0.774533\pi$
$61$	−13.6089	−	3.64649i	−1.74244	−	0.466885i	−0.982986	+	0.183678i	$0.941200\pi$
$62$	−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	0.756447	−	0.654055i	$-0.226934\pi$
$67$	−0.582016	−	0.758499i	−0.0711046	−	0.0926653i	−0.827552	+	0.561390i	$0.810267\pi$
$68$	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	−0.982157	−	0.188061i	$-0.939780\pi$
$71$	−3.54443	−	8.55701i	−0.420646	−	1.01553i	0.561511	−	0.827469i	$-0.310220\pi$
$72$	2.66369	−	1.53788i	0.313919	−	0.181241i
$73$	−1.29425	−	4.83019i	−0.151480	−	0.565331i	−0.999381	−	0.0351765i	$-0.988801\pi$
$73$	−1.29425	−	4.83019i	−0.151480	−	0.565331i	0.847901	−	0.530154i	$-0.177866\pi$
$74$	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	0.894438	−	0.447192i	$-0.147576\pi$
$79$	6.16823	+	4.73305i	0.693981	+	0.532510i	−0.200457	+	0.979702i	$0.564243\pi$
$80$	−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	$-0.677559\pi$
$83$		−	15.4588i		−	1.69683i	0.529335	−	0.848413i	$-0.322441\pi$
$84$	−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	0.247082	−	0.968995i	$-0.420528\pi$
$89$	−5.89572	−	4.52395i	−0.624945	−	0.479538i	−0.872027	+	0.489457i	$0.837195\pi$
$90$	−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	−0.640621	−	0.767858i	$-0.721323\pi$
$97$	3.49953	−	8.44862i	0.355324	−	0.857828i	0.995944	−	0.0899701i	$-0.0286771\pi$
$98$	−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	−0.960397	−	0.278636i	$-0.910118\pi$
$101$	−9.44512	+	7.24750i	−0.939825	+	0.721153i	0.0205722	+	0.999788i	$0.493451\pi$
$102$	−2.36946	+	0.634896i	−0.234612	+	0.0628640i
$103$	4.63586	−	17.3013i	0.456785	−	1.70475i	−0.226001	−	0.974127i	$-0.572565\pi$
$103$	4.63586	−	17.3013i	0.456785	−	1.70475i	0.682786	−	0.730618i	$-0.260768\pi$
$104$	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	0.141970	−	0.989871i	$-0.454656\pi$
$107$	11.0703	−	6.39145i	1.07021	−	0.617885i	0.928238	+	0.371986i	$0.121323\pi$
$108$	0.586111	−	0.449739i	0.0563985	−	0.0432761i
$109$	−12.2012	+	9.36231i	−1.16866	+	0.896746i	−0.996098	−	0.0882519i	$-0.971872\pi$
$109$	−12.2012	+	9.36231i	−1.16866	+	0.896746i	−0.172564	+	0.984998i	$0.555205\pi$
$110$	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	$-0.979098\pi$
$113$		−	1.39503i		−	0.131234i	0.997845	−	0.0656168i	$-0.0209015\pi$
$114$	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	$-0.996671\pi$
$127$		−	0.235723i		−	0.0209170i	0.999945	−	0.0104585i	$-0.00332910\pi$
$128$	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	−0.999794	−	0.0202723i	$-0.993547\pi$
$131$	−1.41708	+	5.28862i	−0.123811	+	0.462069i	0.875984	+	0.482341i	$0.160213\pi$
$132$	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	0.835334	−	0.549743i	$-0.185274\pi$
$137$	1.03145	+	1.34421i	0.0881227	+	0.114844i	−0.747211	+	0.664587i	$0.768608\pi$
$138$	2.99248	−	0.393968i	0.254737	−	0.0335368i
$139$		−	1.03910i		−	0.0881353i	−0.999029	−	0.0440677i	$-0.985968\pi$
$139$		−	1.03910i		−	0.0881353i	0.999029	−	0.0440677i	$-0.0140317\pi$
$140$	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	−0.177789	−	0.984069i	$-0.556895\pi$
$149$	−1.15748	+	0.152385i	−0.0948246	+	0.0124839i	0.0829646	+	0.996552i	$0.473561\pi$
$150$	−0.846494	−	1.10317i	−0.0691160	−	0.0900737i
$151$	−1.52906	+	11.6143i	−0.124433	+	0.945162i	0.809351	+	0.587325i	$0.199819\pi$
$151$	−1.52906	+	11.6143i	−0.124433	+	0.945162i	−0.933784	+	0.357837i	$0.883514\pi$
$152$	−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	0.903555	−	0.428472i	$-0.140948\pi$
$157$	20.8677	+	2.74729i	1.66543	+	0.219257i	0.761871	+	0.647729i	$0.224281\pi$
$158$	−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	0.00331977	−	0.999994i	$-0.498943\pi$
$163$	11.1202	−	6.42024i	0.871000	−	0.502872i	0.867681	+	0.497122i	$0.165610\pi$
$164$	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	−0.592034	−	0.805913i	$-0.701675\pi$
$167$	−5.69637	+	2.35951i	−0.440798	+	0.182585i	0.151236	+	0.988498i	$0.451675\pi$
$168$	−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	−0.664295	−	0.747470i	$-0.731268\pi$
$173$	3.74512	−	13.9770i	0.284736	−	1.06265i	0.949032	−	0.315180i	$-0.102065\pi$
$174$		−	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	−0.516598	−	0.856228i	$-0.672802\pi$
$179$	2.36475	−	1.81454i	0.176750	−	0.135625i	0.693348	+	0.720603i	$0.256135\pi$
$180$	−1.24092	+	0.716445i	−0.0924926	+	0.0534006i
$181$	20.1392	+	8.34192i	1.49693	+	0.620050i	0.972812	−	0.231595i	$-0.0743943\pi$
$181$	20.1392	+	8.34192i	1.49693	+	0.620050i	0.524120	+	0.851644i	$0.324394\pi$
$182$	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	−0.981265	−	0.192663i	$-0.938288\pi$
$191$	−1.15124	−	8.74452i	−0.0833006	−	0.632731i	0.897964	−	0.440068i	$-0.145046\pi$
$192$	8.29713	+	1.09234i	0.598794	+	0.0788327i
$193$	−0.638944	−	0.0841186i	−0.0459922	−	0.00605499i	0.107495	−	0.994206i	$-0.465717\pi$
$193$	−0.638944	−	0.0841186i	−0.0459922	−	0.00605499i	−0.153487	+	0.988151i	$0.549050\pi$
$194$	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	0.966691	−	0.255945i	$-0.0823866\pi$
$197$	9.97580	+	9.97580i	0.710747	+	0.710747i	−0.255945	+	0.966691i	$0.582387\pi$
$198$	−0.920557	−	0.706368i	−0.0654211	−	0.0501994i
$199$	6.96902	+	9.08220i	0.494021	+	0.643820i	0.972120	−	0.234486i	$-0.0753406\pi$
$199$	6.96902	+	9.08220i	0.494021	+	0.643820i	−0.478099	+	0.878306i	$0.658674\pi$
$200$	−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	−0.798510	−	0.601982i	$-0.794378\pi$
$211$	2.78587	−	6.72568i	0.191787	−	0.463015i	0.990297	+	0.138967i	$0.0443781\pi$
$212$	−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	$-0.876839\pi$
$223$		−	11.2697i		−	0.754677i	0.926075	−	0.377338i	$-0.123161\pi$
$224$	−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	0.924723	−	0.380641i	$-0.124297\pi$
$227$	4.78687	+	6.23838i	0.317716	+	0.414056i	−0.607007	+	0.794697i	$0.707630\pi$
$228$	−4.06751	−	2.34838i	−0.269378	−	0.155525i
$229$	27.6750	−	3.64349i	1.82882	−	0.240768i	0.863964	−	0.503554i	$-0.167975\pi$
$229$	27.6750	−	3.64349i	1.82882	−	0.240768i	0.964854	+	0.262786i	$0.0846412\pi$
$230$	−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	0.244267	−	0.969708i	$-0.421453\pi$
$233$	−9.60400	−	7.36941i	−0.629179	−	0.482786i	−0.873445	+	0.486922i	$0.838119\pi$
$234$	−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	−0.999343	−	0.0362518i	$-0.988458\pi$
$239$	−25.9776	+	10.7603i	−1.68035	+	0.696024i	−0.681008	+	0.732276i	$0.738458\pi$
$240$	−0.500413	−	3.80101i	−0.0323015	−	0.245354i
$241$	−4.97317	−	18.5601i	−0.320350	−	1.19556i	−0.918905	−	0.394480i	$-0.870925\pi$
$241$	−4.97317	−	18.5601i	−0.320350	−	1.19556i	0.598555	−	0.801082i	$-0.295742\pi$
$242$	−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	0.111114	−	0.993808i	$-0.464558\pi$
$251$	−13.9845	−	13.9845i	−0.882693	−	0.882693i	−0.993808	+	0.111114i	$0.964558\pi$
$252$	−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	−0.996750	−	0.0805539i	$-0.974331\pi$
$257$	−10.5960	+	13.8090i	−0.660963	+	0.861384i	0.335787	+	0.941938i	$0.390998\pi$
$258$	−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	−0.999989	−	0.00474119i	$-0.998491\pi$
$263$	−12.0941	−	15.7613i	−0.745752	−	0.971883i	0.254236	−	0.967142i	$-0.418176\pi$
$264$	−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	−0.923606	−	0.383342i	$-0.874773\pi$
$269$	−2.12919	+	3.68787i	−0.129819	+	0.224853i	0.793787	+	0.608195i	$0.208106\pi$
$270$	1.72807	−	1.32600i	0.105167	−	0.0806976i
$271$	−7.34967	−	12.7300i	−0.446461	−	0.773292i	0.551692	−	0.834048i	$-0.313982\pi$
$271$	−7.34967	−	12.7300i	−0.446461	−	0.773292i	−0.998153	+	0.0607554i	$0.980649\pi$
$272$	−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	0.540573	−	0.841297i	$-0.318207\pi$
$277$	1.36933	+	0.790584i	0.0822752	+	0.0475016i	−0.458298	+	0.888799i	$0.651541\pi$
$278$	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	0.956338	−	0.292263i	$-0.0944083\pi$
$281$	23.9026	+	9.90078i	1.42591	+	0.590631i	0.469572	+	0.882894i	$0.344408\pi$
$282$	−3.68355	+	13.7472i	−0.219352	+	0.818634i
$283$	1.80385	+	1.04145i	0.107228	+	0.0619079i	0.552655	−	0.833410i	$-0.313615\pi$
$283$	1.80385	+	1.04145i	0.107228	+	0.0619079i	−0.445427	+	0.895318i	$0.646948\pi$
$284$	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	0.988013	+	0.154370i	$0.0493349\pi$
$293$	30.7391	+	12.7326i	1.79580	+	0.743845i	0.807787	+	0.589474i	$0.200665\pi$
$294$	−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	−0.738882	−	0.673835i	$-0.764646\pi$
$307$	−1.13973	+	1.13973i	−0.0650477	+	0.0650477i	0.673835	+	0.738882i	$0.264646\pi$
$308$	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	0.693476	−	0.720480i	$-0.256078\pi$
$311$	−3.20852	−	4.18143i	−0.181939	−	0.237107i	−0.875415	+	0.483373i	$0.839412\pi$
$312$	13.2743	+	7.66393i	0.751510	+	0.433885i
$313$	−3.43258	−	26.0730i	−0.194021	−	1.47373i	−0.760328	−	0.649540i	$-0.774962\pi$
$313$	−3.43258	−	26.0730i	−0.194021	−	1.47373i	0.566307	−	0.824194i	$-0.308372\pi$
$314$	−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	−0.876477	−	0.481443i	$-0.840113\pi$
$317$	−3.28653	+	4.28309i	−0.184590	+	0.240562i	0.691887	+	0.722005i	$0.256779\pi$
$318$	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	−0.436483	−	0.899713i	$-0.643776\pi$
$331$	9.92529	−	12.9349i	0.545543	−	0.710966i	0.982026	+	0.188747i	$0.0604426\pi$
$332$	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	−0.581525	−	0.813528i	$-0.697544\pi$
$337$	4.25901	−	4.25901i	0.232003	−	0.232003i	0.813528	+	0.581525i	$0.197544\pi$
$338$	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	0.999122	−	0.0419032i	$-0.0133421\pi$
$347$	13.0406	+	16.9948i	0.700055	+	0.912329i	−0.299067	+	0.954232i	$0.596675\pi$
$348$	−5.34211	−	1.43142i	−0.286367	−	0.0767319i
$349$	−7.60536	−	7.60536i	−0.407106	−	0.407106i	0.473622	−	0.880728i	$-0.342946\pi$
$349$	−7.60536	−	7.60536i	−0.407106	−	0.407106i	−0.880728	+	0.473622i	$0.842946\pi$
$350$	−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	−0.957804	−	0.287421i	$-0.907202\pi$
$353$	−4.32108	+	7.48433i	−0.229988	+	0.398351i	0.727816	+	0.685772i	$0.240535\pi$
$354$	−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	−0.851913	−	0.523683i	$-0.824558\pi$
$359$	−15.6191	+	9.01771i	−0.824346	+	0.475937i	0.0275665	+	0.999620i	$0.491224\pi$
$360$	−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	−0.836563	−	0.547871i	$-0.815439\pi$
$367$	−24.6575	+	6.60697i	−1.28711	+	0.344881i	−0.450550	+	0.892751i	$0.648772\pi$
$368$	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	0.0608358	−	0.998148i	$-0.480623\pi$
$373$	18.4572	−	10.6562i	0.955675	−	0.551759i	0.894839	+	0.446389i	$0.147290\pi$
$374$	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	0.993048	−	0.117711i	$-0.0375555\pi$
$383$	0.0659821	+	0.501184i	0.00337153	+	0.0256093i	−0.989676	+	0.143320i	$0.954222\pi$
$384$	−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	−0.268612	−	0.963248i	$-0.586565\pi$
$389$	−0.386832	+	0.103651i	−0.0196132	+	0.00525533i	0.248999	+	0.968504i	$0.419898\pi$
$390$	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	−0.752831	−	0.658213i	$-0.771312\pi$
$397$	1.55017	−	2.02022i	0.0778009	−	0.101392i	0.830632	+	0.556821i	$0.187979\pi$
$398$	−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	0.517102	+	0.855924i	$0.327011\pi$
$401$	−7.18263	+	26.8060i	−0.358684	+	1.33863i	−0.875785	+	0.482701i	$0.839656\pi$
$402$	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	−0.999726	−	0.0234256i	$-0.992543\pi$
$409$	−9.69882	+	16.7988i	−0.479576	+	0.830649i	0.520150	+	0.854075i	$0.325876\pi$
$410$	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	0.163730	−	0.986505i	$-0.447647\pi$
$419$	−16.8418	−	16.8418i	−0.822775	−	0.822775i	−0.986505	+	0.163730i	$0.947647\pi$
$420$	0.273887	+	3.78116i	0.0133643	+	0.184502i
$421$	−11.1066	+	4.60051i	−0.541303	+	0.224215i	−0.636545	−	0.771239i	$-0.719637\pi$
$421$	−11.1066	+	4.60051i	−0.541303	+	0.224215i	0.0952428	+	0.995454i	$0.469637\pi$
$422$	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	0.959973	−	0.280092i	$-0.0903650\pi$
$431$	−0.237376	−	0.885900i	−0.0114340	−	0.0426723i	−0.971407	+	0.237420i	$0.923698\pi$
$432$	−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	0.963233	+	0.268669i	$0.0865838\pi$
$439$	30.8429	+	23.6666i	1.47205	+	1.12954i	0.508817	+	0.860875i	$0.330083\pi$
$440$	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	−0.828414	−	0.560116i	$-0.810757\pi$
$443$	3.55854	−	13.2807i	0.169071	−	0.630983i	0.997486	−	0.0708673i	$-0.0225767\pi$
$444$	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	−0.679521	−	0.733656i	$-0.737813\pi$
$449$	1.14708	−	1.14708i	0.0541342	−	0.0541342i	0.733656	+	0.679521i	$0.237813\pi$
$450$	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	0.835665	−	0.549240i	$-0.185083\pi$
$457$	38.1591	−	5.02375i	1.78501	−	0.235001i	0.949344	+	0.314239i	$0.101749\pi$
$458$	−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	$-0.952263\pi$
$461$		−	6.41590i		−	0.298818i	0.988775	−	0.149409i	$-0.0477371\pi$
$462$	−2.74399	+	1.37666i	−0.127662	+	0.0640481i
$463$	−34.5237	+	14.3002i	−1.60445	+	0.664585i	−0.992036	−	0.125951i	$-0.959802\pi$
$463$	−34.5237	+	14.3002i	−1.60445	+	0.664585i	−0.612415	+	0.790537i	$0.709802\pi$
$464$	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	−0.869005	−	0.494804i	$-0.835240\pi$
$467$	−18.9088	+	10.9170i	−0.874995	+	0.505178i	−0.00598996	+	0.999982i	$0.501907\pi$
$468$	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	0.135921	−	0.990720i	$-0.456601\pi$
$479$	0.236215	+	0.0310983i	0.0107929	+	0.00142092i	−0.125128	+	0.992141i	$0.539934\pi$
$480$	−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	−0.841072	−	0.540923i	$-0.818075\pi$
$487$	−28.6664	+	7.68115i	−1.29900	+	0.348066i	−0.457929	+	0.888989i	$0.651408\pi$
$488$	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	$-0.982326\pi$
$491$		−	2.45945i		−	0.110993i	0.998459	−	0.0554967i	$-0.0176742\pi$
$492$	−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	−0.232598	−	0.972573i	$-0.574723\pi$
$499$	17.1343	−	22.3298i	0.767036	−	0.999621i	0.999634	−	0.0270483i	$-0.00861078\pi$
$500$	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	−0.957761	−	0.287564i	$-0.907155\pi$
$503$	−10.8519	−	26.1987i	−0.483860	−	1.16814i	0.473901	−	0.880578i	$-0.342845\pi$
$504$	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	0.974128	+	0.225997i	$0.0725641\pi$
$509$	2.06851	+	15.7119i	0.0916850	+	0.696417i	−0.882443	+	0.470420i	$0.844103\pi$
$510$			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	−0.278792	−	0.960352i	$-0.589934\pi$
$521$	5.45659	−	41.4469i	0.239058	−	1.81582i	0.517850	−	0.855472i	$-0.326733\pi$
$522$	8.33529	+	1.09736i	0.364826	+	0.0480302i
$523$	10.2514	+	17.7560i	0.448264	+	0.776415i	0.998273	−	0.0587430i	$-0.0187093\pi$
$523$	10.2514	+	17.7560i	0.448264	+	0.776415i	−0.550010	+	0.835158i	$0.685376\pi$
$524$	−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	−0.520987	−	0.853565i	$-0.674436\pi$
$541$	−32.5389	−	8.71878i	−1.39896	−	0.374849i	−0.877970	+	0.478715i	$0.841103\pi$
$542$	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	−0.872055	−	0.489409i	$-0.837213\pi$
$547$	2.12002	−	5.11817i	0.0906453	−	0.218837i	0.962700	+	0.270571i	$0.0872126\pi$
$548$	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	−0.532788	−	0.846249i	$-0.678856\pi$
$557$	3.46296	−	2.65723i	0.146731	−	0.112590i	0.679518	+	0.733659i	$0.262189\pi$
$558$	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	0.647773	+	0.761833i	$0.275701\pi$
$563$	−4.15482	+	31.5590i	−0.175105	+	1.33005i	−0.822878	+	0.568219i	$0.807633\pi$
$564$	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	−0.991017	−	0.133738i	$-0.957302\pi$
$569$	−1.57201	+	5.86681i	−0.0659020	+	0.245949i	0.925115	+	0.379688i	$0.123969\pi$
$570$	−11.9925	−	6.92389i	−0.502312	−	0.290010i
$571$	−2.57014	+	19.5222i	−0.107557	+	0.816977i	0.849604	+	0.527421i	$0.176841\pi$
$571$	−2.57014	+	19.5222i	−0.107557	+	0.816977i	−0.957161	+	0.289556i	$0.906492\pi$
$572$	−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	−0.831194	−	0.555982i	$-0.812342\pi$
$577$	2.77624	−	21.0877i	0.115577	−	0.877891i	0.946771	−	0.321909i	$-0.104324\pi$
$578$	−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	−0.161971	−	0.986795i	$-0.551785\pi$
$587$	10.2065	−	4.22767i	0.421267	−	0.174495i	0.583239	+	0.812301i	$0.301785\pi$
$588$	−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	0.972180	−	0.234236i	$-0.0752588\pi$
$593$	−0.669632	−	5.08636i	−0.0274985	−	0.208872i	−0.999678	+	0.0253641i	$0.991925\pi$
$594$	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	0.780985	−	0.624550i	$-0.214718\pi$
$599$	15.4336	+	8.91061i	0.630601	+	0.364078i	−0.150384	+	0.988628i	$0.548051\pi$
$600$	−0.497086	−	3.77574i	−0.0202934	−	0.154144i
$601$	17.2095	−	41.5473i	0.701989	−	1.69475i	−0.0171196	−	0.999853i	$-0.505450\pi$
$601$	17.2095	−	41.5473i	0.701989	−	1.69475i	0.719109	−	0.694898i	$-0.244550\pi$
$602$	−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	−0.0611315	−	0.998130i	$-0.519471\pi$
$607$	−15.1061	−	4.04767i	−0.613138	−	0.164290i	−0.552006	+	0.833840i	$0.686138\pi$
$608$	−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	0.997853	−	0.0654931i	$-0.0208620\pi$
$613$	2.49917	+	9.32702i	0.100940	+	0.376715i	−0.896913	+	0.442208i	$0.854195\pi$
$614$	−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	0.949431	−	0.313976i	$-0.101661\pi$
$617$	15.7844	+	15.7844i	0.635455	+	0.635455i	−0.313976	+	0.949431i	$0.601661\pi$
$618$	−12.2455	+	15.9587i	−0.492587	+	0.641952i
$619$	18.0080	−	31.1907i	0.723802	−	1.25366i	−0.235664	−	0.971835i	$-0.575726\pi$
$619$	18.0080	−	31.1907i	0.723802	−	1.25366i	0.959465	−	0.281827i	$-0.0909403\pi$
$620$	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	0.630268	−	0.776378i	$-0.282945\pi$
$641$	−7.15943	−	9.33035i	−0.282780	−	0.368527i	−0.913049	+	0.407851i	$0.866278\pi$
$642$	−14.2329	+	1.87380i	−0.561729	+	0.0739530i
$643$	2.04614	+	4.93983i	0.0806920	+	0.194808i	0.959077	−	0.283147i	$-0.0913784\pi$
$643$	2.04614	+	4.93983i	0.0806920	+	0.194808i	−0.878385	+	0.477955i	$0.841378\pi$
$644$	−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	0.850666	+	0.525706i	$0.176199\pi$
$647$	9.58489	+	35.7713i	0.376821	+	1.40631i	−0.473846	+	0.880608i	$0.657134\pi$
$648$	−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	0.957403	−	0.288755i	$-0.0932415\pi$
$653$	23.6700	+	18.1627i	0.926281	+	0.710760i	−0.0311223	+	0.999516i	$0.509908\pi$
$654$	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	0.997548	−	0.0699857i	$-0.0222954\pi$
$659$	6.23003	+	15.0406i	0.242688	+	0.585900i	−0.754860	+	0.655886i	$0.772295\pi$
$660$	1.28213	−	0.740237i	0.0499067	−	0.0288137i
$661$	−7.63729	+	2.04641i	−0.297056	+	0.0795960i	−0.404269	−	0.914640i	$-0.632474\pi$
$661$	−7.63729	+	2.04641i	−0.297056	+	0.0795960i	0.107213	+	0.994236i	$0.465807\pi$
$662$	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	−0.996074	−	0.0885301i	$-0.971783\pi$
$673$	−5.94448	+	14.3513i	−0.229143	+	0.553200i	0.766931	+	0.641730i	$0.221783\pi$
$674$	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	0.690103	+	0.723712i	$0.257565\pi$
$677$	−7.00957	+	26.1601i	−0.269400	+	1.00541i	−0.959502	+	0.281701i	$0.909101\pi$
$678$	−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	−0.432436	−	0.901664i	$-0.642346\pi$
$683$	8.53498	−	6.54912i	0.326582	−	0.250595i	0.759018	+	0.651069i	$0.225679\pi$
$684$	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	−0.222654	−	0.974898i	$-0.571472\pi$
$691$	−4.87355	+	0.641615i	−0.185399	+	0.0244082i	0.0372551	+	0.999306i	$0.488139\pi$
$692$	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	$-0.894258\pi$
$701$		−	17.2691i		−	0.652244i	0.945328	−	0.326122i	$-0.105742\pi$
$702$	−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	−0.996367	−	0.0851668i	$-0.972858\pi$
$709$	−35.5873	−	27.3071i	−1.33651	−	1.02554i	−0.340143	−	0.940374i	$-0.610476\pi$
$710$	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	−0.548173	−	0.836365i	$-0.684677\pi$
$719$	−23.0924	+	3.04017i	−0.861201	+	0.113379i	−0.313028	+	0.949744i	$0.601343\pi$
$720$	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	−0.0832564	−	0.996528i	$-0.526532\pi$
$727$	15.1673	−	6.28250i	0.562524	−	0.233005i	0.645781	+	0.763523i	$0.276532\pi$
$728$	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	−0.408333	−	0.912833i	$-0.633890\pi$
$733$	−32.9863	−	8.83865i	−1.21838	−	0.326463i	−0.810043	+	0.586370i	$0.800556\pi$
$734$		−	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	−0.257164	−	0.966368i	$-0.582788\pi$
$739$	19.2553	−	33.3511i	0.708317	−	1.22684i	0.965481	−	0.260473i	$-0.0838785\pi$
$740$	−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	−0.510269	−	0.860015i	$-0.670454\pi$
$743$	9.53339	−	9.53339i	0.349746	−	0.349746i	0.860015	+	0.510269i	$0.170454\pi$
$744$	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	−0.222974	−	0.974824i	$-0.571577\pi$
$751$	21.2752	−	27.7264i	0.776344	−	1.01175i	0.999318	−	0.0369268i	$-0.0117568\pi$
$752$	−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	0.686896	+	0.726756i	$0.258973\pi$
$757$	−8.60370	+	20.7712i	−0.312707	+	0.754941i	−0.999603	+	0.0281851i	$0.991027\pi$
$758$	−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	0.696910	−	0.717158i	$-0.254558\pi$
$761$	−7.52062	−	13.0261i	−0.272622	−	0.472195i	−0.969532	+	0.244963i	$0.921224\pi$
$762$	−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	0.984372	+	0.176100i	$0.0563482\pi$
$773$	25.0142	+	32.5991i	0.899698	+	1.17251i	−0.0846748	+	0.996409i	$0.526985\pi$
$774$	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	−0.365639	−	0.930757i	$-0.619149\pi$
$787$	−6.08516	+	1.63051i	−0.216912	+	0.0581215i	0.148726	+	0.988878i	$0.452483\pi$
$788$	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	$0.0514406\pi$
$797$			9.08496i			0.321806i	−0.986970	+	0.160903i	$0.948559\pi$
$798$	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	−0.227248	−	0.973837i	$-0.572973\pi$
$809$	−19.8759	−	2.61672i	−0.698801	−	0.0919989i	−0.471553	+	0.881838i	$0.656306\pi$
$810$	1.08909	+	1.88637i	0.0382669	+	0.0662802i
$811$	−6.59061	+	6.59061i	−0.231427	+	0.231427i	−0.813288	−	0.581861i	$-0.802325\pi$
$811$	−6.59061	+	6.59061i	−0.231427	+	0.231427i	0.581861	+	0.813288i	$0.302325\pi$
$812$	−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	0.861073	−	0.508481i	$-0.169793\pi$
$821$	−0.281403	−	0.487404i	−0.00982102	−	0.0170105i	−0.870894	+	0.491471i	$0.836460\pi$
$822$	−0.492485	−	1.83798i	−0.0171774	−	0.0641069i
$823$	3.46872	+	0.456665i	0.120912	+	0.0159183i	0.190739	−	0.981641i	$-0.438912\pi$
$823$	3.46872	+	0.456665i	0.120912	+	0.0159183i	−0.0698274	+	0.997559i	$0.522245\pi$
$824$	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	−0.962425	−	0.271546i	$-0.912465\pi$
$827$	−13.6282	−	32.9015i	−0.473900	−	1.14410i	0.488525	−	0.872550i	$-0.337535\pi$
$828$	1.91789	+	0.513897i	0.0666513	+	0.0178592i
$829$	19.1190	−	5.12293i	0.664031	−	0.177927i	0.0889665	−	0.996035i	$-0.471644\pi$
$829$	19.1190	−	5.12293i	0.664031	−	0.177927i	0.575065	+	0.818108i	$0.304977\pi$
$830$	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	0.672416	−	0.740173i	$-0.265257\pi$
$839$	18.0891	+	7.49275i	0.624505	+	0.258678i	−0.0479114	+	0.998852i	$0.515257\pi$
$840$	−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	−0.877030	−	0.480435i	$-0.840479\pi$
$853$	−11.5830	+	11.5830i	−0.396595	+	0.396595i	0.480435	+	0.877030i	$0.340479\pi$
$854$	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	−0.471799	−	0.881706i	$-0.656395\pi$
$857$	−43.0710	−	24.8671i	−1.47128	−	0.849443i	−0.999479	+	0.0322634i	$0.989728\pi$
$858$	0.754763	−	5.73300i	0.0257672	−	0.195721i
$859$	0.808703	−	3.01812i	0.0275926	−	0.102977i	−0.950756	−	0.309940i	$-0.899691\pi$
$859$	0.808703	−	3.01812i	0.0275926	−	0.102977i	0.978349	+	0.206963i	$0.0663579\pi$
$860$	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	−0.479499	−	0.877543i	$-0.659181\pi$
$863$	11.0025	−	41.0620i	0.374531	−	1.39777i	0.854029	−	0.520225i	$-0.174152\pi$
$864$	−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	0.710966	−	0.703227i	$-0.248258\pi$
$877$	−7.50807	−	13.0044i	−0.253530	−	0.439126i	−0.964495	+	0.264101i	$0.914925\pi$
$878$	−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	−0.881071	−	0.472985i	$-0.843177\pi$
$881$	−12.1127	+	12.1127i	−0.408086	+	0.408086i	0.472985	+	0.881071i	$0.343177\pi$
$882$	7.80738	+	0.919100i	0.262888	+	0.0309477i
$883$	−10.6098	−	4.39474i	−0.357049	−	0.147895i	0.196946	−	0.980414i	$-0.436898\pi$
$883$	−10.6098	−	4.39474i	−0.357049	−	0.147895i	−0.553996	+	0.832520i	$0.686898\pi$
$884$	−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	0.999510	−	0.0313027i	$-0.00996559\pi$
$887$	0.773028	+	5.87173i	0.0259557	+	0.197153i	−0.973554	+	0.228456i	$0.926632\pi$
$888$	−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	−0.698341	−	0.715766i	$-0.746078\pi$
$907$	−13.5958	−	50.7404i	−0.451443	−	1.68481i	0.246898	−	0.969042i	$-0.420589\pi$
$908$	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	−0.757308	−	0.653058i	$-0.773486\pi$
$911$	−3.14656	+	3.14656i	−0.104250	+	0.104250i	0.653058	+	0.757308i	$0.273486\pi$
$912$	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	0.624400	−	0.781105i	$-0.285344\pi$
$919$	43.3410	−	5.70595i	1.42969	−	0.188222i	0.805289	+	0.592883i	$0.202010\pi$
$920$	−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	−0.0936899	−	0.995601i	$-0.529866\pi$
$929$	2.24004	−	0.294907i	0.0734933	−	0.00967557i	0.167183	+	0.985926i	$0.446533\pi$
$930$	−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	0.502717	+	0.864451i	$0.332334\pi$
$937$	−14.2038	+	34.2909i	−0.464017	+	1.12024i	−0.966734	+	0.255785i	$0.917666\pi$
$938$	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	−0.340573	−	0.940218i	$-0.610621\pi$
$941$	−5.07403	+	1.35958i	−0.165409	+	0.0443211i	0.175164	+	0.984539i	$0.443954\pi$
$942$	−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	−0.873724	−	0.486422i	$-0.838302\pi$
$947$	−27.3678	+	15.8008i	−0.889332	+	0.513456i	−0.0156083	+	0.999878i	$0.504968\pi$
$948$	−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	0.00737884	−	0.999973i	$-0.497651\pi$
$967$	−21.5963	−	8.94549i	−0.694491	−	0.287668i	−0.701870	+	0.712305i	$0.747651\pi$
$968$	−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	−0.869123	−	0.494596i	$-0.835316\pi$
$971$	−5.18623	+	6.75883i	−0.166434	+	0.216901i	0.702689	+	0.711497i	$0.251983\pi$
$972$	−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	0.607978	+	0.793954i	$0.291981\pi$
$977$	−5.77548	+	43.8691i	−0.184774	+	1.40350i	−0.792752	+	0.609544i	$0.791353\pi$
$978$	−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	−0.604063	−	0.796936i	$-0.706453\pi$
$983$	12.1692	−	21.0776i	0.388136	−	0.672271i	0.992199	+	0.124666i	$0.0397859\pi$
$984$	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	0.398201	−	0.917298i	$-0.369635\pi$
$991$	17.1699	+	2.26045i	0.545418	+	0.0718057i	0.147218	+	0.989104i	$0.452968\pi$
$992$	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	−0.765086	−	0.643929i	$-0.777303\pi$
$997$	4.43922	−	33.7192i	0.140591	−	1.06790i	0.905677	−	0.423969i	$-0.139363\pi$
$998$	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.178.19	✓	448
7.5	odd	6	inner	861.2.bs.a.670.38	yes	448
41.3	odd	8	inner	861.2.bs.a.577.38	yes	448
287.208	even	24	inner	861.2.bs.a.208.19	yes	448

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
861.2.bs.a.178.19	✓	448	1.1	even	1	trivial
861.2.bs.a.208.19	yes	448	287.208	even	24	inner
861.2.bs.a.577.38	yes	448	41.3	odd	8	inner
861.2.bs.a.670.38	yes	448	7.5	odd	6	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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