LMFDB - Embedded newform 352.2.bc.a.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [352,2,Mod(19,352)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(352, base_ring=CyclotomicField(40))

chi = DirichletCharacter(H, H._module([20, 35, 12]))

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

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

chi := DirichletCharacter("352.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 352 = 2^{5} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	352.bc (of order $40$, degree $16$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.81073415115$
Analytic rank:	$0$
Dimension:	$736$
Relative dimension:	$46$ over $\Q(\zeta_{40})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{40}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	352.19
Dual form			352.2.bc.a.315.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41245 + 0.0705991i) q^{2} +(0.150757 - 1.91555i) q^{3} +(1.99003 - 0.199436i) q^{4} +(-2.63276 - 0.632071i) q^{5} +(-0.0777007 + 2.71626i) q^{6} +(2.34464 + 4.60161i) q^{7} +(-2.79674 + 0.422187i) q^{8} +(-0.683545 - 0.108263i) q^{9} +(3.76327 + 0.706898i) q^{10} +(-0.987728 + 3.16613i) q^{11} +(-0.0820176 - 3.84207i) q^{12} +(0.861531 + 3.58853i) q^{13} +(-3.63655 - 6.33401i) q^{14} +(-1.60767 + 4.94791i) q^{15} +(3.92045 - 0.793766i) q^{16} +(2.28249 + 1.65833i) q^{17} +(0.973116 + 0.104658i) q^{18} +(0.231306 - 2.93902i) q^{19} +(-5.36534 - 0.732774i) q^{20} +(9.16809 - 3.79755i) q^{21} +(1.17159 - 4.54174i) q^{22} +(2.78855 - 2.78855i) q^{23} +(0.387093 + 5.42095i) q^{24} +(2.07690 + 1.05823i) q^{25} +(-1.47022 - 5.00780i) q^{26} +(1.03525 - 4.31211i) q^{27} +(5.58362 + 8.68974i) q^{28} +(-3.18896 + 3.73379i) q^{29} +(1.92144 - 7.10217i) q^{30} +(0.706137 + 0.971914i) q^{31} +(-5.48140 + 1.39794i) q^{32} +(5.91598 + 2.36936i) q^{33} +(-3.34098 - 2.18116i) q^{34} +(-3.26433 - 13.5969i) q^{35} +(-1.38187 - 0.0791234i) q^{36} +(0.0664255 + 0.844016i) q^{37} +(-0.119216 + 4.16755i) q^{38} +(7.00390 - 1.10931i) q^{39} +(7.63001 + 0.656218i) q^{40} +(5.58753 + 2.84699i) q^{41} +(-12.6814 + 6.01110i) q^{42} +(-1.53954 - 3.71677i) q^{43} +(-1.33417 + 6.49769i) q^{44} +(1.73118 + 0.717079i) q^{45} +(-3.74182 + 4.13556i) q^{46} +(3.69812 + 11.3816i) q^{47} +(-0.929464 - 7.62949i) q^{48} +(-11.5630 + 15.9151i) q^{49} +(-3.00823 - 1.34808i) q^{50} +(3.52071 - 4.12222i) q^{51} +(2.43015 + 6.96947i) q^{52} +(9.69994 + 5.94413i) q^{53} +(-1.15780 + 6.16373i) q^{54} +(4.60168 - 7.71137i) q^{55} +(-8.50008 - 11.8796i) q^{56} +(-5.59497 - 0.886157i) q^{57} +(4.24064 - 5.49893i) q^{58} +(-6.79284 + 0.534608i) q^{59} +(-2.21253 + 10.1671i) q^{60} +(1.98283 + 3.23569i) q^{61} +(-1.06600 - 1.32293i) q^{62} +(-1.10448 - 3.39924i) q^{63} +(7.64352 - 2.36150i) q^{64} -9.99231i q^{65} +(-8.52331 - 2.92894i) q^{66} +(-0.153178 - 0.0634483i) q^{67} +(4.87296 + 2.84491i) q^{68} +(-4.92122 - 5.76201i) q^{69} +(5.57064 + 18.9745i) q^{70} +(-1.99616 - 12.6033i) q^{71} +(1.95740 + 0.0141992i) q^{72} +(-0.151897 - 0.298114i) q^{73} +(-0.153410 - 1.18744i) q^{74} +(2.34021 - 3.81888i) q^{75} +(-0.125839 - 5.89487i) q^{76} +(-16.8852 + 2.87829i) q^{77} +(-9.81435 + 2.06131i) q^{78} +(-5.33244 - 7.33947i) q^{79} +(-10.8233 - 0.388203i) q^{80} +(-10.0786 - 3.27473i) q^{81} +(-8.09310 - 3.62675i) q^{82} +(2.53331 + 4.13398i) q^{83} +(17.4874 - 9.38568i) q^{84} +(-4.96108 - 5.80868i) q^{85} +(2.43692 + 5.14107i) q^{86} +(6.67151 + 6.67151i) q^{87} +(1.42572 - 9.27186i) q^{88} +(5.37168 - 5.37168i) q^{89} +(-2.49583 - 0.890619i) q^{90} +(-14.4930 + 12.3782i) q^{91} +(4.99317 - 6.10545i) q^{92} +(1.96821 - 1.20612i) q^{93} +(-6.02694 - 15.8149i) q^{94} +(-2.46664 + 7.59155i) q^{95} +(1.85146 + 10.7107i) q^{96} +(-7.67556 + 5.57662i) q^{97} +(15.2085 - 23.2956i) q^{98} +(1.01793 - 2.05726i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 736 q - 20 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 20 q^{6} - 20 q^{7} - 20 q^{8} - 12 q^{9} - 16 q^{11} - 20 q^{13} - 28 q^{14} - 24 q^{15} - 52 q^{16} - 120 q^{18} - 20 q^{19} + 4 q^{20} - 4 q^{22} - 48 q^{23}+ \cdots - 68 q^{99}+O(q^{100}) $ 736 * q - 20 * q^2 - 12 * q^3 - 12 * q^4 - 12 * q^5 - 20 * q^6 - 20 * q^7 - 20 * q^8 - 12 * q^9 - 16 * q^11 - 20 * q^13 - 28 * q^14 - 24 * q^15 - 52 * q^16 - 120 * q^18 - 20 * q^19 + 4 * q^20 - 4 * q^22 - 48 * q^23 - 20 * q^24 - 12 * q^25 + 48 * q^26 - 12 * q^27 - 20 * q^28 - 20 * q^29 - 20 * q^30 - 32 * q^33 + 24 * q^34 - 20 * q^35 - 12 * q^36 - 12 * q^37 - 12 * q^38 - 20 * q^39 - 20 * q^40 - 20 * q^41 - 52 * q^42 + 24 * q^44 - 8 * q^45 - 20 * q^46 - 24 * q^47 - 12 * q^48 - 20 * q^50 - 20 * q^51 - 20 * q^52 - 60 * q^53 + 16 * q^55 - 248 * q^56 - 20 * q^57 - 12 * q^58 + 20 * q^59 + 68 * q^60 - 20 * q^61 - 20 * q^62 + 132 * q^64 - 8 * q^66 - 112 * q^67 - 20 * q^68 - 12 * q^69 + 36 * q^70 + 20 * q^71 - 320 * q^72 - 20 * q^73 - 20 * q^74 + 124 * q^75 - 32 * q^77 - 80 * q^78 - 40 * q^79 + 124 * q^80 + 28 * q^82 - 20 * q^83 - 20 * q^84 - 20 * q^85 - 116 * q^86 - 20 * q^88 - 32 * q^89 - 20 * q^90 - 156 * q^91 + 148 * q^92 - 36 * q^93 - 160 * q^94 - 20 * q^96 - 24 * q^97 - 68 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/352\mathbb{Z}\right)^\times$.

$n$	$133$	$287$	$321$
$\chi(n)$	$e\left(\frac{7}{8}\right)$	$-1$	$e\left(\frac{3}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.41245	+	0.0705991i	−0.998753	+	0.0499211i
$2$	−1.41245	+	0.0705991i	−0.998753	+	0.0499211i
$3$	0.150757	−	1.91555i	0.0870397	−	1.10594i	−0.785978	−	0.618255i	$-0.787840\pi$
$3$	0.150757	−	1.91555i	0.0870397	−	1.10594i	0.873017	−	0.487689i	$-0.162160\pi$
$4$	1.99003	−	0.199436i	0.995016	−	0.0997178i
$5$	−2.63276	−	0.632071i	−1.17741	−	0.282671i	−0.402906	−	0.915242i	$-0.632000\pi$
$5$	−2.63276	−	0.632071i	−1.17741	−	0.282671i	−0.774502	+	0.632571i	$0.782000\pi$
$6$	−0.0777007	+	2.71626i	−0.0317212	+	1.10891i
$7$	2.34464	+	4.60161i	0.886189	+	1.73924i	0.637132	+	0.770755i	$0.280121\pi$
$7$	2.34464	+	4.60161i	0.886189	+	1.73924i	0.249057	+	0.968489i	$0.419879\pi$
$8$	−2.79674	+	0.422187i	−0.988797	+	0.149266i
$9$	−0.683545	−	0.108263i	−0.227848	−	0.0360876i
$10$	3.76327	+	0.706898i	1.19005	+	0.223541i
$11$	−0.987728	+	3.16613i	−0.297811	+	0.954625i
$11$	−0.987728	+	3.16613i	−0.297811	+	0.954625i
$12$	−0.0820176	−	3.84207i	−0.0236764	−	1.10911i
$13$	0.861531	+	3.58853i	0.238946	+	0.995280i	0.954852	+	0.297083i	$0.0960139\pi$
$13$	0.861531	+	3.58853i	0.238946	+	0.995280i	−0.715906	+	0.698197i	$0.753986\pi$
$14$	−3.63655	−	6.33401i	−0.971909	−	1.69284i
$15$	−1.60767	+	4.94791i	−0.415099	+	1.27754i
$16$	3.92045	−	0.793766i	0.980113	−	0.198442i
$17$	2.28249	+	1.65833i	0.553585	+	0.402203i	0.829106	−	0.559092i	$-0.188850\pi$
$17$	2.28249	+	1.65833i	0.553585	+	0.402203i	−0.275520	+	0.961295i	$0.588850\pi$
$18$	0.973116	+	0.104658i	0.229366	+	0.0246682i
$19$	0.231306	−	2.93902i	0.0530652	−	0.674257i	−0.911651	−	0.410965i	$-0.865192\pi$
$19$	0.231306	−	2.93902i	0.0530652	−	0.674257i	0.964716	−	0.263292i	$-0.0848083\pi$
$20$	−5.36534	−	0.732774i	−1.19973	−	0.163853i
$21$	9.16809	−	3.79755i	2.00064	−	0.828692i
$22$	1.17159	−	4.54174i	0.249784	−	0.968302i
$23$	2.78855	−	2.78855i	0.581454	−	0.581454i	−0.353849	−	0.935303i	$-0.615127\pi$
$23$	2.78855	−	2.78855i	0.581454	−	0.581454i	0.935303	+	0.353849i	$0.115127\pi$
$24$	0.387093	+	5.42095i	0.0790150	+	1.10655i
$25$	2.07690	+	1.05823i	0.415380	+	0.211647i
$26$	−1.47022	−	5.00780i	−0.288333	−	0.982111i
$27$	1.03525	−	4.31211i	0.199233	−	0.829866i
$28$	5.58362	+	8.68974i	1.05521	+	1.64221i
$29$	−3.18896	+	3.73379i	−0.592175	+	0.693348i	−0.972870	−	0.231353i	$-0.925685\pi$
$29$	−3.18896	+	3.73379i	−0.592175	+	0.693348i	0.380695	+	0.924701i	$0.375685\pi$
$30$	1.92144	−	7.10217i	0.350805	−	1.29667i
$31$	0.706137	+	0.971914i	0.126826	+	0.174561i	0.867708	−	0.497074i	$-0.165592\pi$
$31$	0.706137	+	0.971914i	0.126826	+	0.174561i	−0.740882	+	0.671635i	$0.765592\pi$
$32$	−5.48140	+	1.39794i	−0.968984	+	0.247122i
$33$	5.91598	+	2.36936i	1.02984	+	0.412453i
$34$	−3.34098	−	2.18116i	−0.572973	−	0.374066i
$35$	−3.26433	−	13.5969i	−0.551773	−	2.29830i
$36$	−1.38187	−	0.0791234i	−0.230311	−	0.0131872i
$37$	0.0664255	+	0.844016i	0.0109203	+	0.138755i	0.999960	−	0.00889115i	$-0.00283018\pi$
$37$	0.0664255	+	0.844016i	0.0109203	+	0.138755i	−0.989040	+	0.147647i	$0.952830\pi$
$38$	−0.119216	+	4.16755i	−0.0193394	+	0.676066i
$39$	7.00390	−	1.10931i	1.12152	−	0.177632i
$40$	7.63001	+	0.656218i	1.20641	+	0.103757i
$41$	5.58753	+	2.84699i	0.872625	+	0.444625i	0.832147	−	0.554556i	$-0.187112\pi$
$41$	5.58753	+	2.84699i	0.872625	+	0.444625i	0.0404787	+	0.999180i	$0.487112\pi$
$42$	−12.6814	+	6.01110i	−1.95678	+	0.927533i
$43$	−1.53954	−	3.71677i	−0.234777	−	0.566803i	0.761950	−	0.647635i	$-0.224242\pi$
$43$	−1.53954	−	3.71677i	−0.234777	−	0.566803i	−0.996728	+	0.0808328i	$0.974242\pi$
$44$	−1.33417	+	6.49769i	−0.201134	+	0.979564i
$45$	1.73118	+	0.717079i	0.258069	+	0.106896i
$46$	−3.74182	+	4.13556i	−0.551702	+	0.609756i
$47$	3.69812	+	11.3816i	0.539426	+	1.66018i	0.733886	+	0.679272i	$0.237705\pi$
$47$	3.69812	+	11.3816i	0.539426	+	1.66018i	−0.194460	+	0.980910i	$0.562295\pi$
$48$	−0.929464	−	7.62949i	−0.134157	−	1.10122i
$49$	−11.5630	+	15.9151i	−1.65185	+	2.27358i
$50$	−3.00823	−	1.34808i	−0.425428	−	0.190647i
$51$	3.52071	−	4.12222i	0.492998	−	0.577227i
$52$	2.43015	+	6.96947i	0.337002	+	0.966492i
$53$	9.69994	+	5.94413i	1.33239	+	0.816489i	0.992294	−	0.123902i	$-0.0395408\pi$
$53$	9.69994	+	5.94413i	1.33239	+	0.816489i	0.340095	+	0.940391i	$0.389541\pi$
$54$	−1.15780	+	6.16373i	−0.157557	+	0.838777i
$55$	4.60168	−	7.71137i	0.620490	−	1.03980i
$56$	−8.50008	−	11.8796i	−1.13587	−	1.58748i
$57$	−5.59497	−	0.886157i	−0.741072	−	0.117374i
$58$	4.24064	−	5.49893i	0.556824	−	0.722045i
$59$	−6.79284	+	0.534608i	−0.884353	+	0.0696001i	−0.512495	−	0.858690i	$-0.671279\pi$
$59$	−6.79284	+	0.534608i	−0.884353	+	0.0696001i	−0.371857	+	0.928290i	$0.621279\pi$
$60$	−2.21253	+	10.1671i	−0.285636	+	1.31257i
$61$	1.98283	+	3.23569i	0.253876	+	0.414287i	0.954033	−	0.299701i	$-0.0968869\pi$
$61$	1.98283	+	3.23569i	0.253876	+	0.414287i	−0.700158	+	0.713988i	$0.746887\pi$
$62$	−1.06600	−	1.32293i	−0.135382	−	0.168012i
$63$	−1.10448	−	3.39924i	−0.139151	−	0.428264i
$64$	7.64352	−	2.36150i	0.955439	−	0.295187i
$65$		−	9.99231i		−	1.23939i
$66$	−8.52331	−	2.92894i	−1.04915	−	0.360528i
$67$	−0.153178	−	0.0634483i	−0.0187136	−	0.00775144i	0.373307	−	0.927708i	$-0.378224\pi$
$67$	−0.153178	−	0.0634483i	−0.0187136	−	0.00775144i	−0.392021	+	0.919956i	$0.628224\pi$
$68$	4.87296	+	2.84491i	0.590933	+	0.344996i
$69$	−4.92122	−	5.76201i	−0.592446	−	0.693665i
$70$	5.57064	+	18.9745i	0.665819	+	2.26789i
$71$	−1.99616	−	12.6033i	−0.236901	−	1.49573i	−0.763605	−	0.645683i	$-0.776573\pi$
$71$	−1.99616	−	12.6033i	−0.236901	−	1.49573i	0.526705	−	0.850048i	$-0.323427\pi$
$72$	1.95740	+	0.0141992i	0.230682	+	0.00167339i
$73$	−0.151897	−	0.298114i	−0.0177782	−	0.0348917i	0.881947	−	0.471349i	$-0.156233\pi$
$73$	−0.151897	−	0.298114i	−0.0177782	−	0.0348917i	−0.899725	+	0.436458i	$0.856233\pi$
$74$	−0.153410	−	1.18744i	−0.0178335	−	0.138037i
$75$	2.34021	−	3.81888i	0.270224	−	0.440966i
$76$	−0.125839	−	5.89487i	−0.0144347	−	0.676188i
$77$	−16.8852	+	2.87829i	−1.92424	+	0.328012i
$78$	−9.81435	+	2.06131i	−1.11126	+	0.233398i
$79$	−5.33244	−	7.33947i	−0.599946	−	0.825755i	0.395757	−	0.918355i	$-0.370482\pi$
$79$	−5.33244	−	7.33947i	−0.599946	−	0.825755i	−0.995703	+	0.0926001i	$0.970482\pi$
$80$	−10.8233	−	0.388203i	−1.21009	−	0.0434025i
$81$	−10.0786	−	3.27473i	−1.11984	−	0.363859i
$82$	−8.09310	−	3.62675i	−0.893734	−	0.400508i
$83$	2.53331	+	4.13398i	0.278067	+	0.453763i	0.960933	−	0.276779i	$-0.0892671\pi$
$83$	2.53331	+	4.13398i	0.278067	+	0.453763i	−0.682867	+	0.730543i	$0.739267\pi$
$84$	17.4874	−	9.38568i	1.90803	−	1.02406i
$85$	−4.96108	−	5.80868i	−0.538104	−	0.630039i
$86$	2.43692	+	5.14107i	0.262780	+	0.554376i
$87$	6.67151	+	6.67151i	0.715261	+	0.715261i
$88$	1.42572	−	9.27186i	0.151982	−	0.988383i
$89$	5.37168	−	5.37168i	0.569397	−	0.569397i	−0.362563	−	0.931959i	$-0.618098\pi$
$89$	5.37168	−	5.37168i	0.569397	−	0.569397i	0.931959	+	0.362563i	$0.118098\pi$
$90$	−2.49583	−	0.890619i	−0.263084	−	0.0938795i
$91$	−14.4930	+	12.3782i	−1.51928	+	1.29759i
$92$	4.99317	−	6.10545i	0.520574	−	0.636537i
$93$	1.96821	−	1.20612i	0.204094	−	0.125069i
$94$	−6.02694	−	15.8149i	−0.621632	−	1.63118i
$95$	−2.46664	+	7.59155i	−0.253072	+	0.778876i
$96$	1.85146	+	10.7107i	0.188964	+	1.09315i
$97$	−7.67556	+	5.57662i	−0.779335	+	0.566220i	−0.904779	−	0.425881i	$-0.859964\pi$
$97$	−7.67556	+	5.57662i	−0.779335	+	0.566220i	0.125444	+	0.992101i	$0.459964\pi$
$98$	15.2085	−	23.2956i	1.53629	−	2.35321i
$99$	1.01793	−	2.05726i	0.102306	−	0.206762i
$100$	4.34415	+	1.69171i	0.434415	+	0.169171i
$101$	−0.549878	−	0.336966i	−0.0547149	−	0.0335293i	0.494872	−	0.868966i	$-0.335215\pi$
$101$	−0.549878	−	0.336966i	−0.0547149	−	0.0335293i	−0.549587	+	0.835436i	$0.685215\pi$
$102$	−4.68180	+	6.07099i	−0.463568	+	0.601118i
$103$	4.18242	−	2.13105i	0.412106	−	0.209979i	−0.235631	−	0.971843i	$-0.575716\pi$
$103$	4.18242	−	2.13105i	0.412106	−	0.209979i	0.647737	+	0.761864i	$0.275716\pi$
$104$	−3.92451	−	9.67247i	−0.384830	−	0.948464i
$105$	−26.5377	+	4.20316i	−2.58982	+	0.410187i
$106$	−14.1203	−	7.71098i	−1.37149	−	0.748957i
$107$	15.0568	−	12.8597i	1.45560	−	1.24320i	0.539658	−	0.841884i	$-0.318554\pi$
$107$	15.0568	−	12.8597i	1.45560	−	1.24320i	0.915940	−	0.401314i	$-0.131446\pi$
$108$	1.20018	−	8.78770i	0.115488	−	0.845597i
$109$	−2.87866	+	6.94970i	−0.275725	+	0.665660i	−0.999708	−	0.0241580i	$-0.992310\pi$
$109$	−2.87866	+	6.94970i	−0.275725	+	0.665660i	0.723983	+	0.689818i	$0.242310\pi$
$110$	−5.95522	+	11.2168i	−0.567808	+	1.06948i
$111$	1.62677			0.154406
$112$	12.8446	+	16.1793i	1.21370	+	1.52880i
$113$	1.39137	−	0.452082i	0.130889	−	0.0425283i	−0.242840	−	0.970066i	$-0.578079\pi$
$113$	1.39137	−	0.452082i	0.130889	−	0.0425283i	0.373729	+	0.927538i	$0.378079\pi$
$114$	7.96518	+	0.856652i	0.746008	+	0.0802328i
$115$	−9.10417	+	5.57904i	−0.848968	+	0.520248i
$116$	−5.60148	+	8.06636i	−0.520084	+	0.748942i
$117$	−0.200390	−	2.54620i	−0.0185261	−	0.235396i
$118$	9.55681	−	1.23468i	0.879775	−	0.113661i
$119$	−2.27936	+	14.3913i	−0.208948	+	1.31925i
$120$	2.40730	−	14.5167i	0.219755	−	1.32519i
$121$	−9.04879	−	6.25456i	−0.822617	−	0.568596i
$122$	−3.02909	−	4.43026i	−0.274241	−	0.401097i
$123$	6.29591	−	10.2740i	0.567683	−	0.926375i
$124$	1.59907	+	1.79331i	0.143601	+	0.161044i
$125$	5.49517	+	4.69332i	0.491503	+	0.419783i
$126$	1.80001	+	4.72328i	0.160357	+	0.420784i
$127$	−2.91539	−	2.11815i	−0.258699	−	0.187956i	0.450874	−	0.892587i	$-0.351112\pi$
$127$	−2.91539	−	2.11815i	−0.258699	−	0.187956i	−0.709573	+	0.704632i	$0.751112\pi$
$128$	−10.6294	+	3.87512i	−0.939512	+	0.342516i
$129$	−7.35177	+	2.38873i	−0.647287	+	0.210316i
$130$	0.705449	+	14.1136i	0.0618719	+	1.23785i
$131$	−1.64704	+	3.97631i	−0.143903	+	0.347412i	−0.979354	−	0.202153i	$-0.935206\pi$
$131$	−1.64704	+	3.97631i	−0.143903	+	0.347412i	0.835451	+	0.549564i	$0.185206\pi$
$132$	12.2455	+	3.53525i	1.06584	+	0.307704i
$133$	14.0665	−	5.82655i	1.21972	−	0.505226i
$134$	0.220835	+	0.0788033i	0.0190773	+	0.00680757i
$135$	−5.45112	+	10.6984i	−0.469157	+	0.920773i
$136$	−7.08366	−	3.67427i	−0.607418	−	0.315066i
$137$	0.0956368	+	0.603827i	0.00817081	+	0.0515884i	0.991437	−	0.130587i	$-0.0416862\pi$
$137$	0.0956368	+	0.603827i	0.00817081	+	0.0515884i	−0.983266	+	0.182175i	$0.941686\pi$
$138$	7.35778	+	7.79112i	0.626336	+	0.663224i
$139$	−6.47465	+	0.509566i	−0.549173	+	0.0432208i	−0.350011	−	0.936746i	$-0.613822\pi$
$139$	−6.47465	+	0.509566i	−0.549173	+	0.0432208i	−0.199162	+	0.979967i	$0.563822\pi$
$140$	−9.20783	−	26.4073i	−0.778204	−	2.23182i
$141$	22.3596	−	5.36807i	1.88302	−	0.452073i
$142$	3.70926	+	17.6606i	0.311274	+	1.48204i
$143$	−12.2127	−	0.816776i	−1.02128	−	0.0683022i
$144$	−2.76574	+	0.118135i	−0.230478	+	0.00984462i
$145$	10.7558	−	7.81455i	0.893221	−	0.648963i
$146$	0.235593	+	0.410348i	0.0194979	+	0.0339606i
$147$	28.7429	+	24.5488i	2.37068	+	2.02475i
$148$	0.300516	+	1.66637i	0.0247022	+	0.136975i
$149$	−11.8523	−	2.84550i	−0.970982	−	0.233112i	−0.283225	−	0.959053i	$-0.591404\pi$
$149$	−11.8523	−	2.84550i	−0.970982	−	0.233112i	−0.687757	+	0.725941i	$0.741404\pi$
$150$	−3.03582	+	5.55919i	−0.247874	+	0.453906i
$151$	5.71611	−	11.2185i	0.465170	−	0.912948i	−0.532610	−	0.846361i	$-0.678789\pi$
$151$	5.71611	−	11.2185i	0.465170	−	0.912948i	0.997781	−	0.0665877i	$-0.0212112\pi$
$152$	0.593914	+	8.31733i	0.0481728	+	0.674625i
$153$	−1.38065	−	1.38065i	−0.111619	−	0.111619i
$154$	23.6462	−	5.25752i	1.90547	−	0.423663i
$155$	−1.24477	−	3.00515i	−0.0999826	−	0.241379i
$156$	13.7167	−	3.60439i	1.09822	−	0.288582i
$157$	11.8329	+	0.931270i	0.944368	+	0.0743234i	0.541284	−	0.840840i	$-0.317938\pi$
$157$	11.8329	+	0.931270i	0.944368	+	0.0743234i	0.403084	+	0.915163i	$0.367938\pi$
$158$	8.04996	+	9.99017i	0.640421	+	0.794776i
$159$	12.8486	−	17.6846i	1.01896	−	1.40248i
$160$	15.3148	−	0.215800i	1.21074	−	0.0170605i
$161$	19.3700	+	6.29369i	1.52657	+	0.496012i
$162$	14.4667	+	3.91385i	1.13661	+	0.307501i
$163$	19.7747	−	4.74749i	1.54887	−	0.371852i	0.633270	−	0.773931i	$-0.281712\pi$
$163$	19.7747	−	4.74749i	1.54887	−	0.371852i	0.915605	+	0.402079i	$0.131712\pi$
$164$	11.6871	+	4.55124i	0.912613	+	0.355392i
$165$	−14.0778	−	9.97729i	−1.09595	−	0.776731i
$166$	−3.87003	−	5.66019i	−0.300372	−	0.439316i
$167$	−1.85866	+	11.7351i	−0.143827	+	0.908090i	0.805225	+	0.592970i	$0.202045\pi$
$167$	−1.85866	+	11.7351i	−0.143827	+	0.908090i	−0.949052	+	0.315120i	$0.897955\pi$
$168$	−24.0375	+	14.4914i	−1.85453	+	1.11804i
$169$	−0.552248	+	0.281385i	−0.0424807	+	0.0216450i
$170$	7.41736	+	7.85422i	0.568886	+	0.602391i
$171$	−0.476295	+	1.98391i	−0.0364232	+	0.151713i
$172$	−3.80499	−	7.08946i	−0.290127	−	0.540566i
$173$	1.73194	+	0.136306i	0.131677	+	0.0103632i	0.144126	−	0.989559i	$-0.453963\pi$
$173$	1.73194	+	0.136306i	0.131677	+	0.0103632i	−0.0124495	+	0.999923i	$0.503963\pi$
$174$	−9.89418	−	8.95218i	−0.750076	−	0.678663i
$175$			12.0383i			0.910007i
$176$	−1.35917	+	13.1967i	−0.102451	+	0.994738i
$177$			13.0926i			0.984103i
$178$	−7.20799	+	7.96647i	−0.540262	+	0.597112i
$179$	−23.8211	−	1.87476i	−1.78047	−	0.140126i	−0.854922	−	0.518757i	$-0.826395\pi$
$179$	−23.8211	−	1.87476i	−1.78047	−	0.140126i	−0.925548	+	0.378631i	$0.876395\pi$
$180$	3.58812	+	1.08175i	0.267443	+	0.0806290i
$181$	−1.80172	+	7.50471i	−0.133921	+	0.557821i	0.864550	+	0.502546i	$0.167603\pi$
$181$	−1.80172	+	7.50471i	−0.133921	+	0.557821i	−0.998471	+	0.0552744i	$0.982397\pi$
$182$	19.5968	−	18.5068i	1.45261	−	1.37182i
$183$	6.49705	−	3.31041i	0.480276	−	0.244713i
$184$	−6.62157	+	8.97615i	−0.488149	+	0.661731i
$185$	0.358595	−	2.26408i	0.0263645	−	0.166459i
$186$	−2.69484	+	1.84254i	−0.197595	+	0.135101i
$187$	−7.50496	+	5.58869i	−0.548817	+	0.408685i
$188$	9.62928	+	21.9123i	0.702287	+	1.59812i
$189$	22.2699	−	5.34653i	1.61990	−	0.388903i
$190$	2.94805	−	10.8968i	0.213874	−	0.790539i
$191$	−23.2872	−	7.56646i	−1.68500	−	0.547490i	−0.699129	−	0.714995i	$-0.746429\pi$
$191$	−23.2872	−	7.56646i	−1.68500	−	0.547490i	−0.985871	+	0.167505i	$0.946429\pi$
$192$	−3.37125	−	14.9976i	−0.243299	−	1.08236i
$193$	−8.85988	+	12.1946i	−0.637748	+	0.877785i	−0.998493	−	0.0548798i	$-0.982522\pi$
$193$	−8.85988	+	12.1946i	−0.637748	+	0.877785i	0.360745	+	0.932664i	$0.382522\pi$
$194$	10.4476	−	8.41859i	0.750097	−	0.604419i
$195$	−19.1408	−	1.50641i	−1.37070	−	0.107876i
$196$	−19.8366	+	33.9775i	−1.41690	+	2.42697i
$197$	−1.14976	−	2.77577i	−0.0819170	−	0.197765i	0.877614	−	0.479368i	$-0.159134\pi$
$197$	−1.14976	−	2.77577i	−0.0819170	−	0.197765i	−0.959531	+	0.281603i	$0.909134\pi$
$198$	−1.29254	+	2.97764i	−0.0918566	+	0.211612i
$199$	−17.9895	−	17.9895i	−1.27524	−	1.27524i	−0.943300	−	0.331942i	$-0.892296\pi$
$199$	−17.9895	−	17.9895i	−1.27524	−	1.27524i	−0.331942	−	0.943300i	$-0.607704\pi$
$200$	−6.25533	−	2.08277i	−0.442319	−	0.147274i
$201$	−0.144631	+	0.283854i	−0.0102015	+	0.0200215i
$202$	0.800465	+	0.437126i	0.0563205	+	0.0307561i
$203$	−24.6584	−	5.91996i	−1.73068	−	0.415499i
$204$	6.18421	−	8.90551i	0.432981	−	0.623510i
$205$	−12.9111	−	11.0272i	−0.901754	−	0.770170i
$206$	−5.75701	+	3.30528i	−0.401110	+	0.230290i
$207$	−2.20800	+	1.60420i	−0.153467	+	0.111500i
$208$	6.22604	+	13.3848i	0.431698	+	0.928070i
$209$	9.07686	+	3.63530i	0.627859	+	0.251459i
$210$	37.1865	−	7.81030i	2.56611	−	0.538962i
$211$	22.3514	−	5.36609i	1.53873	−	0.369417i	0.626609	−	0.779334i	$-0.284443\pi$
$211$	22.3514	−	5.36609i	1.53873	−	0.369417i	0.912123	+	0.409917i	$0.134443\pi$
$212$	20.4887	+	9.89450i	1.40717	+	0.679557i
$213$	−24.4431	+	1.92372i	−1.67482	+	0.131811i
$214$	−20.3591	+	19.2268i	−1.39172	+	1.31431i
$215$	1.70398	+	10.7585i	0.116210	+	0.733723i
$216$	−1.07480	+	12.4969i	−0.0731306	+	0.850308i
$217$	−2.81673	+	5.52815i	−0.191212	+	0.375275i
$218$	3.57532	−	10.0193i	0.242151	−	0.678595i
$219$	−0.593953	+	0.246023i	−0.0401356	+	0.0166247i
$220$	7.61956	−	16.2636i	0.513711	−	1.09649i
$221$	−3.98452	+	9.61949i	−0.268028	+	0.647077i
$222$	−2.29773	+	0.114849i	−0.154214	+	0.00770814i
$223$	8.85936	−	2.87858i	0.593267	−	0.192764i	0.00303164	−	0.999995i	$-0.499035\pi$
$223$	8.85936	−	2.87858i	0.593267	−	0.192764i	0.590235	+	0.807231i	$0.299035\pi$
$224$	−19.2846	−	21.9456i	−1.28851	−	1.46630i
$225$	−1.30509	−	0.948202i	−0.0870059	−	0.0632135i
$226$	−1.93332	+	0.736773i	−0.128602	+	0.0490094i
$227$	−3.93591	−	3.36159i	−0.261236	−	0.223116i	0.509177	−	0.860662i	$-0.329950\pi$
$227$	−3.93591	−	3.36159i	−0.261236	−	0.223116i	−0.770413	+	0.637545i	$0.779950\pi$
$228$	−11.3109	−	0.647643i	−0.749083	−	0.0428912i
$229$	11.2933	−	18.4290i	0.746283	−	1.21782i	−0.223702	−	0.974658i	$-0.571814\pi$
$229$	11.2933	−	18.4290i	0.746283	−	1.21782i	0.969985	−	0.243165i	$-0.0781856\pi$
$230$	12.4653	−	8.52287i	0.821938	−	0.561981i
$231$	2.96795	+	32.7783i	0.195277	+	2.15665i
$232$	7.34233	−	11.7888i	0.482048	−	0.773972i
$233$	−0.125887	+	0.794822i	−0.00824716	+	0.0520705i	−0.991469	−	0.130345i	$-0.958392\pi$
$233$	−0.125887	+	0.794822i	−0.00824716	+	0.0520705i	0.983222	+	0.182415i	$0.0583915\pi$
$234$	0.462800	+	3.58223i	0.0302542	+	0.234177i
$235$	−2.54227	−	32.3027i	−0.165840	−	2.10719i
$236$	−13.4113	+	2.41862i	−0.873004	+	0.157439i
$237$	−14.8630	+	9.10808i	−0.965458	+	0.591634i
$238$	2.20346	−	20.4879i	0.142829	−	1.32803i
$239$	−11.4356	+	3.71564i	−0.739706	+	0.240345i	−0.654546	−	0.756022i	$-0.727140\pi$
$239$	−11.4356	+	3.71564i	−0.739706	+	0.240345i	−0.0851601	+	0.996367i	$0.527140\pi$
$240$	−2.37532	+	20.6741i	−0.153326	+	1.33451i
$241$	5.00848			0.322625			0.161312	−	0.986903i	$-0.448427\pi$
$241$	5.00848			0.322625			0.161312	+	0.986903i	$0.448427\pi$
$242$	13.2225	+	8.19541i	0.849976	+	0.526821i
$243$	−2.70114	+	6.52113i	−0.173278	+	0.418331i
$244$	4.59121	+	6.04367i	0.293922	+	0.386906i
$245$	40.5020	−	34.5920i	2.58758	−	2.21000i
$246$	−8.16733	+	14.9560i	−0.520730	+	0.953559i
$247$	10.7460	−	1.70201i	0.683755	−	0.108296i
$248$	−2.38521	−	2.42007i	−0.151461	−	0.153675i
$249$	8.30077	−	4.22945i	0.526040	−	0.268031i
$250$	−8.09299	−	6.24112i	−0.511846	−	0.394723i
$251$	2.36494	+	1.44924i	0.149274	+	0.0914750i	0.595130	−	0.803630i	$-0.297101\pi$
$251$	2.36494	+	1.44924i	0.149274	+	0.0914750i	−0.445856	+	0.895105i	$0.647101\pi$
$252$	−2.87588	−	6.54433i	−0.181163	−	0.412254i
$253$	6.07460	+	11.5833i	0.381907	+	0.728234i
$254$	4.26738	+	2.78596i	0.267759	+	0.174807i
$255$	−11.8747	+	8.62750i	−0.743625	+	0.540275i
$256$	14.7399	−	6.22384i	0.921242	−	0.388990i
$257$	6.74699	−	20.7651i	0.420866	−	1.29529i	−0.486032	−	0.873941i	$-0.661556\pi$
$257$	6.74699	−	20.7651i	0.420866	−	1.29529i	0.906898	−	0.421350i	$-0.138444\pi$
$258$	10.2154	−	3.89300i	0.635981	−	0.242367i
$259$	−3.72809	+	2.28458i	−0.231652	+	0.141957i
$260$	−1.99282	−	19.8850i	−0.123590	−	1.23322i
$261$	2.58403	−	2.20697i	0.159947	−	0.136608i
$262$	2.04564	−	5.73262i	0.126380	−	0.354162i
$263$	18.8638	−	18.8638i	1.16319	−	1.16319i	0.179417	−	0.983773i	$-0.442579\pi$
$263$	18.8638	−	18.8638i	1.16319	−	1.16319i	0.983773	−	0.179417i	$-0.0574211\pi$
$264$	−17.5458	−	4.12884i	−1.07987	−	0.254112i
$265$	−21.7805	−	21.7805i	−1.33797	−	1.33797i
$266$	−19.4569	+	9.22280i	−1.19298	+	0.565486i
$267$	−9.47991	−	11.0995i	−0.580161	−	0.679281i
$268$	−0.317482	−	0.0957150i	−0.0193933	−	0.00584672i
$269$	−0.899926	−	1.46855i	−0.0548694	−	0.0895388i	0.824029	−	0.566547i	$-0.191721\pi$
$269$	−0.899926	−	1.46855i	−0.0548694	−	0.0895388i	−0.878899	+	0.477008i	$0.841721\pi$
$270$	6.94413	−	15.4958i	0.422606	−	0.943046i
$271$	19.5456	+	6.35074i	1.18731	+	0.385780i	0.835077	−	0.550133i	$-0.185423\pi$
$271$	19.5456	+	6.35074i	1.18731	+	0.385780i	0.352232	+	0.935913i	$0.385423\pi$
$272$	10.2647	+	4.68962i	0.622390	+	0.284350i
$273$	21.5262	+	29.6283i	1.30282	+	1.79318i
$274$	−0.177712	−	0.846124i	−0.0107360	−	0.0511162i
$275$	−5.40192	+	5.53050i	−0.325748	+	0.333502i
$276$	−10.9425	−	10.4851i	−0.658664	−	0.631130i
$277$	−11.8891	+	19.4013i	−0.714348	+	1.16571i	0.265140	+	0.964210i	$0.414582\pi$
$277$	−11.8891	+	19.4013i	−0.714348	+	1.16571i	−0.979488	+	0.201501i	$0.935418\pi$
$278$	9.10915	−	1.17684i	0.546330	−	0.0705823i
$279$	−0.377454	−	0.740795i	−0.0225976	−	0.0443503i
$280$	14.8699	+	36.6489i	0.888649	+	2.19019i
$281$	−1.76819	−	11.1639i	−0.105481	−	0.665983i	−0.982604	−	0.185715i	$-0.940540\pi$
$281$	−1.76819	−	11.1639i	−0.105481	−	0.665983i	0.877122	−	0.480267i	$-0.159460\pi$
$282$	−31.2029	+	9.16071i	−1.85811	+	0.545512i
$283$	−9.04343	−	10.5885i	−0.537576	−	0.629420i	0.423437	−	0.905926i	$-0.360824\pi$
$283$	−9.04343	−	10.5885i	−0.537576	−	0.629420i	−0.961012	+	0.276505i	$0.910824\pi$
$284$	−6.48596	−	24.6828i	−0.384871	−	1.46465i
$285$	14.1701	+	5.86946i	0.839366	+	0.347677i
$286$	17.3075	+	0.291447i	1.02342	+	0.0172336i
$287$			32.3868i			1.91173i
$288$	3.89813	−	0.362119i	0.229699	−	0.0213381i
$289$	−2.79357	−	8.59774i	−0.164328	−	0.505749i
$290$	−14.6403	+	11.7970i	−0.859710	+	0.692744i
$291$	9.52516	+	15.5436i	0.558375	+	0.911185i
$292$	−0.361734	−	0.562964i	−0.0211689	−	0.0329449i
$293$	16.8977	−	1.32988i	0.987174	−	0.0776923i	0.425420	−	0.904996i	$-0.360126\pi$
$293$	16.8977	−	1.32988i	0.987174	−	0.0776923i	0.561755	+	0.827304i	$0.310126\pi$
$294$	−42.3311	−	32.6447i	−2.46880	−	1.90388i
$295$	18.2219	+	2.88606i	1.06092	+	0.168033i
$296$	−0.542108	−	2.33245i	−0.0315094	−	0.135571i
$297$	12.6302	+	7.53692i	0.732876	+	0.437336i
$298$	16.9417	+	3.18236i	0.981409	+	0.184349i
$299$	12.4092	+	7.60439i	0.717645	+	0.439773i
$300$	3.89547	−	8.06640i	0.224905	−	0.465714i
$301$	13.4935	−	15.7988i	0.777751	−	0.910629i
$302$	−7.28171	+	16.2491i	−0.419015	+	0.935032i
$303$	−0.728373	+	1.00252i	−0.0418440	+	0.0575933i
$304$	−1.42607	−	11.7059i	−0.0817908	−	0.671379i
$305$	−3.17515	−	9.77209i	−0.181808	−	0.559548i
$306$	2.04757	+	1.85263i	0.117052	+	0.105908i
$307$	−22.8453	−	9.46285i	−1.30385	−	0.540074i	−0.380768	−	0.924671i	$-0.624340\pi$
$307$	−22.8453	−	9.46285i	−1.30385	−	0.540074i	−0.923085	+	0.384597i	$0.874340\pi$
$308$	−33.0280	+	9.09539i	−1.88194	+	0.518258i
$309$	−3.45161	−	8.33292i	−0.196355	−	0.474043i
$310$	1.97034	+	4.15674i	0.111908	+	0.236087i
$311$	−2.05488	−	1.04702i	−0.116522	−	0.0593708i	0.394758	−	0.918785i	$-0.370828\pi$
$311$	−2.05488	−	1.04702i	−0.116522	−	0.0593708i	−0.511280	+	0.859414i	$0.670828\pi$
$312$	−19.1198	+	6.05941i	−1.08244	+	0.343046i
$313$	−5.29308	+	0.838342i	−0.299183	+	0.0473859i	−0.304221	−	0.952601i	$-0.598396\pi$
$313$	−5.29308	+	0.838342i	−0.299183	+	0.0473859i	0.00503843	+	0.999987i	$0.498396\pi$
$314$	−16.7791	−	0.479979i	−0.946901	−	0.0270868i
$315$	0.759276	+	9.64751i	0.0427803	+	0.543576i
$316$	−12.0755	−	13.5423i	−0.679298	−	0.761814i
$317$	−3.02265	−	12.5902i	−0.169769	−	0.707139i	−0.990695	−	0.136104i	$-0.956542\pi$
$317$	−3.02265	−	12.5902i	−0.169769	−	0.707139i	0.820926	−	0.571035i	$-0.193458\pi$
$318$	−16.8995	+	25.8857i	−0.947678	+	1.45160i
$319$	−8.67185	−	13.7846i	−0.485531	−	0.771792i
$320$	−21.6162	+	1.38602i	−1.20838	+	0.0774810i
$321$	−22.3636	−	30.7808i	−1.24821	−	1.71802i
$322$	−27.8034	−	7.52201i	−1.54943	−	0.419185i
$323$	5.40181	−	6.32470i	0.300565	−	0.351916i
$324$	−20.7098	−	4.50679i	−1.15054	−	0.250377i
$325$	−2.00819	+	8.36473i	−0.111395	+	0.463992i
$326$	−27.5956	+	8.10167i	−1.52838	+	0.448710i
$327$	12.8785	+	6.56193i	0.712184	+	0.362876i
$328$	−16.8288	−	5.60330i	−0.929217	−	0.309391i
$329$	−43.7031	+	43.7031i	−2.40943	+	2.40943i
$330$	20.5886	+	13.0985i	1.13336	+	0.721051i
$331$	23.9032	−	9.90104i	1.31384	−	0.544211i	0.387838	−	0.921728i	$-0.373222\pi$
$331$	23.9032	−	9.90104i	1.31384	−	0.544211i	0.926003	+	0.377517i	$0.123222\pi$
$332$	5.86582	+	7.72152i	0.321929	+	0.423773i
$333$	0.0459708	−	0.584115i	0.00251918	−	0.0320093i
$334$	1.79677	−	16.7065i	0.0983151	−	0.914138i
$335$	0.363177	+	0.263863i	0.0198425	+	0.0144164i
$336$	32.9287	−	22.1654i	1.79641	−	1.20922i
$337$	4.46751	−	13.7496i	0.243361	−	0.748987i	−0.752541	−	0.658545i	$-0.771172\pi$
$337$	4.46751	−	13.7496i	0.243361	−	0.748987i	0.995902	−	0.0904418i	$-0.0288279\pi$
$338$	0.760158	−	0.436430i	0.0413471	−	0.0237387i
$339$	−0.656229	−	2.73339i	−0.0356414	−	0.148457i
$340$	−11.0312	−	10.5700i	−0.598249	−	0.573241i
$341$	−3.77468	+	1.27574i	−0.204410	+	0.0690850i
$342$	0.532680	−	2.83580i	0.0288040	−	0.153343i
$343$	−64.6394	−	10.2379i	−3.49020	−	0.552793i
$344$	5.87486	+	9.74488i	0.316751	+	0.525409i
$345$	9.31442	+	18.2806i	0.501472	+	0.984194i
$346$	−2.45590	−	0.0702527i	−0.132030	−	0.00377681i
$347$	29.9972	+	7.20170i	1.61034	+	0.386607i	0.936051	−	0.351864i	$-0.114452\pi$
$347$	29.9972	+	7.20170i	1.61034	+	0.386607i	0.674285	+	0.738471i	$0.264452\pi$
$348$	14.6071	+	11.9460i	0.783020	+	0.640372i
$349$	−0.373990	+	4.75200i	−0.0200192	+	0.254369i	0.978761	+	0.205002i	$0.0657202\pi$
$349$	−0.373990	+	4.75200i	−0.0200192	+	0.254369i	−0.998781	+	0.0493664i	$0.984280\pi$
$350$	−0.849891	−	17.0034i	−0.0454286	−	0.908872i
$351$	16.3660			0.873555
$352$	0.988088	−	18.7356i	0.0526652	−	0.998612i
$353$	−11.7417			−0.624950			−0.312475	−	0.949926i	$-0.601158\pi$
$353$	−11.7417			−0.624950			−0.312475	+	0.949926i	$0.601158\pi$
$354$	−0.924329	−	18.4927i	−0.0491275	−	0.982876i
$355$	−2.71073	+	34.4431i	−0.143871	+	1.82805i
$356$	9.61851	−	11.7611i	0.509780	−	0.623338i
$357$	27.2236	+	6.53581i	1.44083	+	0.345912i
$358$	33.7784	+	0.966256i	1.78524	+	0.0510682i
$359$	0.968327	+	1.90045i	0.0511063	+	0.100302i	0.915147	−	0.403120i	$-0.132074\pi$
$359$	0.968327	+	1.90045i	0.0511063	+	0.100302i	−0.864041	+	0.503422i	$0.832074\pi$
$360$	−5.14441	−	1.27460i	−0.271134	−	0.0671774i
$361$	10.1817	+	1.61263i	0.535881	+	0.0848752i
$362$	2.01502	−	10.7272i	0.105907	−	0.563811i
$363$	−13.3451	+	16.3905i	−0.700436	+	0.860278i
$364$	−26.3730	+	27.5235i	−1.38232	+	1.44262i
$365$	0.211479	+	0.880875i	0.0110693	+	0.0461071i
$366$	−8.94305	+	5.13448i	−0.467461	+	0.268384i
$367$	−10.0670	+	30.9831i	−0.525494	+	1.61731i	0.237842	+	0.971304i	$0.423560\pi$
$367$	−10.0670	+	30.9831i	−0.525494	+	1.61731i	−0.763336	+	0.646001i	$0.776440\pi$
$368$	8.71893	−	13.1458i	0.454506	−	0.685275i
$369$	−3.51110	−	2.55097i	−0.182781	−	0.132798i
$370$	−0.346656	+	3.22322i	−0.0180218	+	0.167567i
$371$	−4.60973	+	58.5721i	−0.239325	+	3.04091i
$372$	3.67625	−	2.79274i	0.190605	−	0.144797i
$373$	−7.55443	+	3.12915i	−0.391154	+	0.162021i	−0.569587	−	0.821931i	$-0.692897\pi$
$373$	−7.55443	+	3.12915i	−0.391154	+	0.162021i	0.178434	+	0.983952i	$0.442897\pi$
$374$	10.2058	−	8.42359i	0.527731	−	0.435573i
$375$	9.81872	−	9.81872i	0.507037	−	0.507037i
$376$	−15.1479	−	30.2702i	−0.781191	−	1.56107i
$377$	−16.1462	−	8.22691i	−0.831573	−	0.423707i
$378$	−31.0777	+	9.12394i	−1.59846	+	0.469285i
$379$	2.26645	−	9.44046i	0.116420	−	0.484924i	−0.883446	−	0.468533i	$-0.844783\pi$
$379$	2.26645	−	9.44046i	0.116420	−	0.484924i	0.999866	−	0.0163903i	$-0.00521744\pi$
$380$	−3.39467	+	15.5994i	−0.174143	+	0.800230i
$381$	−4.49695	+	5.26525i	−0.230386	+	0.269747i
$382$	33.4262	+	9.04319i	1.71023	+	0.462690i
$383$	−7.84322	−	10.7953i	−0.400770	−	0.551613i	0.560167	−	0.828380i	$-0.310737\pi$
$383$	−7.84322	−	10.7953i	−0.400770	−	0.551613i	−0.960937	+	0.276767i	$0.910737\pi$
$384$	5.82054	+	20.9453i	0.297028	+	1.06886i
$385$	46.2739	+	3.09476i	2.35834	+	0.157723i
$386$	11.6532	−	17.8497i	0.593133	−	0.908527i
$387$	0.649955	+	2.70726i	0.0330391	+	0.137618i
$388$	−14.1624	+	12.6284i	−0.718988	+	0.641111i
$389$	−0.625125	−	7.94297i	−0.0316951	−	0.402725i	−0.992217	−	0.124520i	$-0.960261\pi$
$389$	−0.625125	−	7.94297i	−0.0316951	−	0.402725i	0.960522	−	0.278204i	$-0.0897392\pi$
$390$	27.1418	+	0.776410i	1.37438	+	0.0393150i
$391$	10.9892	−	1.74051i	0.555747	−	0.0880216i
$392$	25.6195	−	49.3920i	1.29398	−	2.49467i
$393$	7.36852	+	3.75445i	0.371693	+	0.189387i
$394$	1.81995	+	3.83946i	0.0916876	+	0.193429i
$395$	9.39999	+	22.6936i	0.472965	+	1.14184i
$396$	1.61542	−	4.29702i	0.0811781	−	0.215933i
$397$	−27.5670	−	11.4186i	−1.38355	−	0.573083i	−0.438119	−	0.898917i	$-0.644355\pi$
$397$	−27.5670	−	11.4186i	−1.38355	−	0.573083i	−0.945427	+	0.325834i	$0.894355\pi$
$398$	26.6793	+	24.1392i	1.33731	+	1.20999i
$399$	−9.04043	−	27.8236i	−0.452588	−	1.39292i
$400$	8.98238	+	2.50018i	0.449119	+	0.125009i
$401$	13.6249	−	18.7531i	0.680397	−	0.936487i	−0.319541	−	0.947572i	$-0.603529\pi$
$401$	13.6249	−	18.7531i	0.680397	−	0.936487i	0.999939	+	0.0110857i	$0.00352877\pi$
$402$	0.184244	−	0.411141i	0.00918927	−	0.0205059i
$403$	−2.87939	+	3.37133i	−0.143432	+	0.167938i
$404$	−1.16148	−	0.560907i	−0.0577857	−	0.0279062i
$405$	24.4647	+	14.9920i	1.21566	+	0.744956i
$406$	35.2467	+	6.62078i	1.74926	+	0.328584i
$407$	−2.73788	−	0.623347i	−0.135712	−	0.0308982i
$408$	−8.10616	+	13.0152i	−0.401315	+	0.644348i
$409$	−0.641910	−	0.101669i	−0.0317404	−	0.00502719i	0.140544	−	0.990074i	$-0.455115\pi$
$409$	−0.641910	−	0.101669i	−0.0317404	−	0.00502719i	−0.172284	+	0.985047i	$0.555115\pi$
$410$	19.0149	+	14.6638i	0.939077	+	0.724194i
$411$	1.17108	−	0.0921660i	0.0577651	−	0.00454621i
$412$	7.89815	−	5.07498i	0.389114	−	0.250026i
$413$	−18.3868	−	30.0045i	−0.904755	−	1.47643i
$414$	3.00543	−	2.42174i	0.147709	−	0.119022i
$415$	−4.05663	−	12.4850i	−0.199132	−	0.612866i
$416$	−9.73893	−	18.4658i	−0.477491	−	0.905362i
$417$			12.4793i			0.611116i
$418$	−13.0773	−	4.49386i	−0.639630	−	0.219802i
$419$	17.2079	+	7.12774i	0.840661	+	0.348213i	0.761114	−	0.648618i	$-0.224653\pi$
$419$	17.2079	+	7.12774i	0.840661	+	0.348213i	0.0795467	+	0.996831i	$0.474653\pi$
$420$	−51.9726	+	13.6570i	−2.53601	+	0.666393i
$421$	8.00211	+	9.36927i	0.389999	+	0.456630i	0.920320	−	0.391167i	$-0.127928\pi$
$421$	8.00211	+	9.36927i	0.389999	+	0.456630i	−0.530321	+	0.847797i	$0.677928\pi$
$422$	−31.1913	+	9.15732i	−1.51837	+	0.445771i
$423$	−1.29562	−	8.18023i	−0.0629953	−	0.397736i
$424$	−29.6378	−	12.5290i	−1.43934	−	0.608462i
$425$	2.98561	+	5.85959i	0.144823	+	0.284232i
$426$	34.3889	−	4.44282i	1.66615	−	0.215255i
$427$	−10.2403	+	16.7107i	−0.495565	+	0.808688i
$428$	27.3989	−	28.5942i	1.32437	−	1.38215i
$429$	−3.40573	+	23.2710i	−0.164430	+	1.12353i
$430$	−3.16632	−	15.0755i	−0.152694	−	0.727006i
$431$	11.3190	+	15.5793i	0.545216	+	0.750426i	0.989353	−	0.145533i	$-0.0464896\pi$
$431$	11.3190	+	15.5793i	0.545216	+	0.750426i	−0.444137	+	0.895959i	$0.646490\pi$
$432$	0.635824	−	17.7272i	0.0305911	−	0.852898i
$433$	−15.5729	−	5.05994i	−0.748385	−	0.243165i	−0.0900988	−	0.995933i	$-0.528718\pi$
$433$	−15.5729	−	5.05994i	−0.748385	−	0.243165i	−0.658286	+	0.752768i	$0.728718\pi$
$434$	3.58821	−	8.00709i	0.172240	−	0.384353i
$435$	−13.3477	−	21.7814i	−0.639971	−	1.04434i
$436$	−4.34260	+	14.4042i	−0.207973	+	0.689837i
$437$	−7.55061	−	8.84062i	−0.361194	−	0.422904i
$438$	0.821560	−	0.389428i	0.0392557	−	0.0186076i
$439$	9.72718	+	9.72718i	0.464253	+	0.464253i	0.900047	−	0.435794i	$-0.143532\pi$
$439$	9.72718	+	9.72718i	0.464253	+	0.464253i	−0.435794	+	0.900047i	$0.643532\pi$
$440$	−9.61405	+	23.5095i	−0.458332	+	1.12077i
$441$	9.62682	−	9.62682i	0.458420	−	0.458420i
$442$	4.94881	−	13.8684i	0.235391	−	0.659650i
$443$	3.25354	−	2.77879i	0.154580	−	0.132024i	−0.568794	−	0.822480i	$-0.692590\pi$
$443$	3.25354	−	2.77879i	0.154580	−	0.132024i	0.723375	+	0.690456i	$0.242590\pi$
$444$	3.23733	−	0.324436i	0.153637	−	0.0153971i
$445$	−17.5376	+	10.7471i	−0.831364	+	0.509461i
$446$	−12.3102	+	4.69132i	−0.582904	+	0.222140i
$447$	−7.23752	+	22.2748i	−0.342323	+	1.05356i
$448$	28.7879	+	29.6356i	1.36010	+	1.40015i
$449$	17.3730	−	12.6222i	0.819881	−	0.595679i	−0.0967972	−	0.995304i	$-0.530860\pi$
$449$	17.3730	−	12.6222i	0.819881	−	0.595679i	0.916679	+	0.399625i	$0.130860\pi$
$450$	1.91031	+	1.24715i	0.0900531	+	0.0587912i
$451$	−14.5329	+	14.8788i	−0.684328	+	0.700615i
$452$	2.67870	−	1.17715i	0.125996	−	0.0553683i
$453$	−20.6279	−	12.6408i	−0.969182	−	0.593915i
$454$	5.79661	+	4.47020i	0.272048	+	0.209797i
$455$	45.9807	−	23.4283i	2.15561	−	1.09834i
$456$	16.0218	+	0.116224i	0.750290	+	0.00544267i
$457$	11.2845	−	1.78729i	0.527867	−	0.0836060i	0.113188	−	0.993574i	$-0.463894\pi$
$457$	11.2845	−	1.78729i	0.527867	−	0.0836060i	0.414679	+	0.909968i	$0.363894\pi$
$458$	−14.6502	+	26.8273i	−0.684557	+	1.25356i
$459$	9.51382	−	8.12557i	0.444067	−	0.379269i
$460$	−17.0049	+	12.9182i	−0.792859	+	0.602313i
$461$	−8.74770	+	21.1188i	−0.407421	+	0.983602i	0.578393	+	0.815759i	$0.303680\pi$
$461$	−8.74770	+	21.1188i	−0.407421	+	0.983602i	−0.985814	+	0.167843i	$0.946320\pi$
$462$	−6.50621	−	46.0882i	−0.302696	−	2.14422i
$463$	−11.2983			−0.525076			−0.262538	−	0.964922i	$-0.584559\pi$
$463$	−11.2983			−0.525076			−0.262538	+	0.964922i	$0.584559\pi$
$464$	−9.53840	+	17.1694i	−0.442809	+	0.797071i
$465$	−5.94418	+	1.93138i	−0.275655	+	0.0895656i
$466$	0.121696	−	1.13153i	0.00563745	−	0.0524173i
$467$	20.3579	−	12.4753i	0.942050	−	0.577289i	0.0354918	−	0.999370i	$-0.488700\pi$
$467$	20.3579	−	12.4753i	0.942050	−	0.577289i	0.906558	+	0.422081i	$0.138700\pi$
$468$	−0.906584	−	5.02704i	−0.0419069	−	0.232375i
$469$	−0.0671819	−	0.853627i	−0.00310217	−	0.0394168i
$470$	5.87137	+	45.4464i	0.270826	+	2.09629i
$471$	3.56779	−	22.5261i	0.164395	−	1.03795i
$472$	18.7721	−	4.36301i	0.864056	−	0.200824i
$473$	13.2884	−	1.20322i	0.611003	−	0.0553240i
$474$	20.3503	−	13.9140i	0.934719	−	0.639093i
$475$	3.59057	−	5.85928i	0.164747	−	0.268842i
$476$	−1.66586	+	29.0937i	−0.0763544	+	1.33351i
$477$	−5.98682	−	5.11322i	−0.274118	−	0.234118i
$478$	15.8899	−	6.05551i	0.726785	−	0.276972i
$479$	13.8436	+	10.0580i	0.632532	+	0.459562i	0.857277	−	0.514856i	$-0.172155\pi$
$479$	13.8436	+	10.0580i	0.632532	+	0.459562i	−0.224744	+	0.974418i	$0.572155\pi$
$480$	1.89544	−	29.3689i	0.0865148	−	1.34050i
$481$	−2.97155	+	0.965516i	−0.135491	+	0.0440237i
$482$	−7.07423	+	0.353594i	−0.322222	+	0.0161058i
$483$	14.9760	−	36.1554i	0.681433	−	1.64513i
$484$	−19.2547	−	10.6421i	−0.875216	−	0.483733i
$485$	23.7328	−	9.83043i	1.07765	−	0.446377i
$486$	3.35484	−	9.40147i	0.152179	−	0.426459i
$487$	15.7176	−	30.8475i	0.712231	−	1.39783i	−0.196522	−	0.980499i	$-0.562965\pi$
$487$	15.7176	−	30.8475i	0.712231	−	1.39783i	0.908754	−	0.417333i	$-0.137035\pi$
$488$	−6.91153	−	8.21225i	−0.312870	−	0.371751i
$489$	−6.11288	−	38.5952i	−0.276434	−	1.74533i
$490$	−54.7649	+	51.7189i	−2.47403	+	2.33642i
$491$	−0.224152	+	0.0176411i	−0.0101158	+	0.000796133i	−0.0835160	−	0.996506i	$-0.526615\pi$
$491$	−0.224152	+	0.0176411i	−0.0101158	+	0.000796133i	0.0734002	+	0.997303i	$0.476615\pi$
$492$	10.4801	−	21.7012i	0.472478	−	0.978366i
$493$	−13.4706	+	3.23401i	−0.606686	+	0.145652i
$494$	−15.0581	+	3.16266i	−0.677496	+	0.142295i
$495$	−3.98031	+	4.77287i	−0.178901	+	0.214525i
$496$	3.53985	+	3.24983i	0.158944	+	0.145922i
$497$	53.3150	−	38.7356i	2.39150	−	1.73753i
$498$	−11.4258	+	6.55992i	−0.512003	+	0.293957i
$499$	12.3330	+	10.5334i	0.552101	+	0.471539i	0.881191	−	0.472760i	$-0.156742\pi$
$499$	12.3330	+	10.5334i	0.552101	+	0.471539i	−0.329091	+	0.944298i	$0.606742\pi$
$500$	11.8716	+	8.24391i	0.530913	+	0.368679i
$501$	22.1990	+	5.32951i	0.991778	+	0.238105i
$502$	−3.44267	−	1.88001i	−0.153654	−	0.0839090i
$503$	−10.8771	+	21.3475i	−0.484985	+	0.951837i	0.510763	+	0.859721i	$0.329363\pi$
$503$	−10.8771	+	21.3475i	−0.484985	+	0.951837i	−0.995748	+	0.0921153i	$0.970637\pi$
$504$	4.52406	+	9.04050i	0.201518	+	0.402696i
$505$	1.23471	+	1.23471i	0.0549440	+	0.0549440i
$506$	−9.39783	−	15.9319i	−0.417785	−	0.708260i
$507$	0.455751	+	1.10028i	0.0202406	+	0.0488652i
$508$	−6.22415	−	3.63376i	−0.276152	−	0.161222i
$509$	9.30263	+	0.732133i	0.412332	+	0.0324512i	0.282929	−	0.959141i	$-0.408694\pi$
$509$	9.30263	+	0.732133i	0.412332	+	0.0324512i	0.129403	+	0.991592i	$0.458694\pi$
$510$	16.1634	−	13.0243i	0.715727	−	0.576724i
$511$	1.01566	−	1.39794i	0.0449303	−	0.0618412i
$512$	−20.3799	+	9.83149i	−0.900674	+	0.434495i
$513$	−12.4339	−	4.04002i	−0.548971	−	0.178371i
$514$	−8.06379	+	29.8060i	−0.355678	+	1.31469i
$515$	−12.3583	+	2.96697i	−0.544572	+	0.130740i
$516$	−14.1539	+	6.21986i	−0.623089	+	0.273814i
$517$	−39.6885	+	0.466766i	−1.74550	+	0.0205283i
$518$	5.10445	−	3.49005i	0.224277	−	0.153344i
$519$	0.522204	−	3.29706i	0.0229222	−	0.144725i
$520$	4.21863	+	27.9459i	0.184999	+	1.22551i
$521$	−10.4361	+	5.31747i	−0.457215	+	0.232963i	−0.667401	−	0.744699i	$-0.732593\pi$
$521$	−10.4361	+	5.31747i	−0.457215	+	0.232963i	0.210186	+	0.977662i	$0.432593\pi$
$522$	−3.49400	+	3.29966i	−0.152928	+	0.144422i
$523$	0.0897546	−	0.373855i	0.00392469	−	0.0163475i	−0.970373	−	0.241611i	$-0.922324\pi$
$523$	0.0897546	−	0.373855i	0.00392469	−	0.0163475i	0.974298	+	0.225263i	$0.0723242\pi$
$524$	−2.48465	+	8.24146i	−0.108542	+	0.360030i
$525$	23.0599	+	1.81485i	1.00642	+	0.0792067i
$526$	−25.3124	+	27.9759i	−1.10367	+	1.21981i
$527$			3.38939i			0.147644i
$528$	25.0740	+	4.59306i	1.09121	+	0.199887i
$529$			7.44793i			0.323823i
$530$	32.3016	+	29.2263i	1.40309	+	1.26951i
$531$	4.70109	+	0.369984i	0.204010	+	0.0160559i
$532$	26.8308	−	14.4004i	1.16326	−	0.624336i
$533$	−5.40268	+	22.5038i	−0.234016	+	0.974748i
$534$	14.1735	+	15.0083i	0.613348	+	0.649472i
$535$	−47.7693	+	24.3397i	−2.06525	+	1.05230i
$536$	0.455185	+	0.112779i	0.0196610	+	0.00487130i
$537$	−7.18239	+	45.3478i	−0.309943	+	1.95690i
$538$	1.37478	+	2.01071i	0.0592709	+	0.0866880i
$539$	−38.9681	−	52.3296i	−1.67848	−	2.25400i
$540$	−8.71425	+	22.3773i	−0.375002	+	0.962967i
$541$	−32.0775	+	7.70113i	−1.37912	+	0.331097i	−0.854152	−	0.520024i	$-0.825923\pi$
$541$	−32.0775	+	7.70113i	−1.37912	+	0.331097i	−0.524969	+	0.851122i	$0.675923\pi$
$542$	−28.0555	−	7.59021i	−1.20509	−	0.326027i
$543$	14.1040	+	4.58268i	0.605262	+	0.196662i
$544$	−14.8295	−	5.89918i	−0.635809	−	0.252925i
$545$	11.9715	−	16.4774i	0.512804	−	0.705814i
$546$	−32.4964	−	40.3287i	−1.39072	−	1.72591i
$547$	6.73327	+	0.529920i	0.287894	+	0.0226577i	0.221584	−	0.975141i	$-0.428877\pi$
$547$	6.73327	+	0.529920i	0.287894	+	0.0226577i	0.0663100	+	0.997799i	$0.478877\pi$
$548$	0.310745	+	1.18256i	0.0132744	+	0.0505165i
$549$	−1.00505	−	2.42640i	−0.0428945	−	0.103556i
$550$	7.23950	−	8.19292i	0.308693	−	0.349347i
$551$	10.2361	+	10.2361i	0.436071	+	0.436071i
$552$	16.1960	+	14.0372i	0.689349	+	0.597462i
$553$	21.2707	−	41.7462i	0.904524	−	1.77523i
$554$	15.4231	−	28.2427i	0.655264	−	1.19992i
$555$	−4.28290	−	1.02823i	−0.181799	−	0.0436461i
$556$	−12.7831	+	2.30533i	−0.542126	+	0.0977677i
$557$	−30.6902	−	26.2119i	−1.30038	−	1.11063i	−0.986951	−	0.161022i	$-0.948521\pi$
$557$	−30.6902	−	26.2119i	−1.30038	−	1.11063i	−0.313433	−	0.949610i	$-0.601479\pi$
$558$	0.585435	+	1.01969i	0.0247834	+	0.0431669i
$559$	12.0114	−	8.72680i	0.508028	−	0.369104i
$560$	−23.5904	−	50.7149i	−0.996878	−	2.14310i
$561$	9.57399	+	15.2187i	0.404214	+	0.642533i
$562$	3.28564	+	15.6436i	0.138596	+	0.659886i
$563$	20.0125	−	4.80457i	0.843426	−	0.202489i	0.211365	−	0.977407i	$-0.432209\pi$
$563$	20.0125	−	4.80457i	0.843426	−	0.202489i	0.632061	+	0.774919i	$0.282209\pi$
$564$	43.4258	−	15.1419i	1.82856	−	0.637591i
$565$	−3.94889	+	0.310784i	−0.166131	+	0.0130748i
$566$	13.5209	+	14.3173i	0.568327	+	0.601799i
$567$	−8.56158	−	54.0557i	−0.359553	−	2.27013i
$568$	10.9037	+	34.4053i	0.457508	+	1.44361i
$569$	3.91590	−	7.68539i	0.164163	−	0.322188i	−0.794241	−	0.607603i	$-0.792131\pi$
$569$	3.91590	−	7.68539i	0.164163	−	0.322188i	0.958404	+	0.285415i	$0.0921313\pi$
$570$	−20.4290	−	7.28992i	−0.855676	−	0.305341i
$571$	−18.2458	+	7.55766i	−0.763563	+	0.316278i	−0.730262	−	0.683167i	$-0.760602\pi$
$571$	−18.2458	+	7.55766i	−0.763563	+	0.316278i	−0.0333009	+	0.999445i	$0.510602\pi$
$572$	−24.4666	+	0.810242i	−1.02300	+	0.0338779i
$573$	−18.0047	+	43.4671i	−0.752155	+	1.81586i
$574$	−2.28648	−	45.7447i	−0.0954357	−	1.90935i
$575$	8.74250	−	2.84061i	0.364587	−	0.118462i
$576$	−5.48035	+	0.786680i	−0.228348	+	0.0327783i
$577$	28.4354	+	20.6595i	1.18378	+	0.860066i	0.992593	−	0.121488i	$-0.0387665\pi$
$577$	28.4354	+	20.6595i	1.18378	+	0.860066i	0.191186	+	0.981554i	$0.438766\pi$
$578$	4.55278	+	11.9467i	0.189371	+	0.496915i
$579$	22.0236	+	18.8100i	0.915271	+	0.781716i
$580$	19.8459	−	17.6963i	0.824055	−	0.734798i
$581$	−13.0833	+	21.3500i	−0.542786	+	0.885746i
$582$	−14.5512	−	21.2822i	−0.603166	−	0.882174i
$583$	−28.4008	+	24.8401i	−1.17624	+	1.02877i
$584$	0.550676	+	0.769620i	0.0227871	+	0.0318471i
$585$	−1.08180	+	6.83019i	−0.0447268	+	0.282394i
$586$	−23.7733	+	3.07135i	−0.982065	+	0.126876i
$587$	0.438980	+	5.57776i	0.0181186	+	0.230219i	0.999309	+	0.0371751i	$0.0118359\pi$
$587$	0.438980	+	5.57776i	0.0181186	+	0.230219i	−0.981190	+	0.193044i	$0.938164\pi$
$588$	62.0952	+	43.1205i	2.56076	+	1.77826i
$589$	3.01981	−	1.85054i	0.124429	−	0.0762502i
$590$	−25.9412	−	2.78997i	−1.06798	−	0.114861i
$591$	−5.49046	+	1.78396i	−0.225847	+	0.0733822i
$592$	0.930370	+	3.25620i	0.0382380	+	0.133829i
$593$	29.0726			1.19387			0.596935	−	0.802290i	$-0.296385\pi$
$593$	29.0726			1.19387			0.596935	+	0.802290i	$0.296385\pi$
$594$	−18.3716	−	9.75384i	−0.753795	−	0.400205i
$595$	15.0973	−	36.4482i	0.618930	−	1.49423i
$596$	−24.1540	−	3.29885i	−0.989388	−	0.135126i
$597$	−37.1719	+	31.7478i	−1.52134	+	1.29935i
$598$	−18.0643	−	9.86475i	−0.738704	−	0.403399i
$599$	−12.6299	+	2.00038i	−0.516045	+	0.0817335i	−0.409025	−	0.912523i	$-0.634131\pi$
$599$	−12.6299	+	2.00038i	−0.516045	+	0.0817335i	−0.107020	+	0.994257i	$0.534131\pi$
$600$	−4.93268	+	11.6684i	−0.201376	+	0.476361i
$601$	39.6418	−	20.1985i	1.61702	−	0.823915i	0.617728	−	0.786392i	$-0.288053\pi$
$601$	39.6418	−	20.1985i	1.61702	−	0.823915i	0.999296	−	0.0375226i	$-0.0119466\pi$
$602$	−17.9435	+	23.2677i	−0.731322	+	0.948320i
$603$	0.0978347	+	0.0599532i	0.00398414	+	0.00244148i
$604$	9.13787	−	23.4652i	0.371815	−	0.954784i
$605$	19.8700	+	22.1862i	0.807830	+	0.901999i
$606$	0.958014	−	1.46743i	0.0389167	−	0.0596104i
$607$	33.5337	−	24.3636i	1.36109	−	0.988889i	0.362714	−	0.931900i	$-0.381850\pi$
$607$	33.5337	−	24.3636i	1.36109	−	0.988889i	0.998375	−	0.0569889i	$-0.0181500\pi$
$608$	2.84068	+	16.4333i	0.115205	+	0.666458i
$609$	−15.0574	+	46.3419i	−0.610157	+	1.87787i
$610$	5.17464	+	13.5784i	0.209515	+	0.549775i
$611$	−37.6573	+	23.0765i	−1.52345	+	0.933573i
$612$	−3.02289	−	2.47218i	−0.122193	−	0.0999321i
$613$	−31.7004	+	27.0747i	−1.28037	+	1.09354i	−0.289715	+	0.957113i	$0.593560\pi$
$613$	−31.7004	+	27.0747i	−1.28037	+	1.09354i	−0.990651	+	0.136423i	$0.956440\pi$
$614$	32.9360	+	11.7529i	1.32919	+	0.474310i
$615$	−23.0695	+	23.0695i	−0.930254	+	0.930254i
$616$	46.0082	−	15.1785i	1.85372	−	0.611560i
$617$	6.41307	+	6.41307i	0.258181	+	0.258181i	0.824314	−	0.566133i	$-0.191561\pi$
$617$	6.41307	+	6.41307i	0.258181	+	0.258181i	−0.566133	+	0.824314i	$0.691561\pi$
$618$	5.46352	+	11.5262i	0.219775	+	0.463650i
$619$	8.52640	+	9.98313i	0.342705	+	0.401256i	0.904814	−	0.425807i	$-0.140010\pi$
$619$	8.52640	+	9.98313i	0.342705	+	0.401256i	−0.562109	+	0.827063i	$0.690010\pi$
$620$	−3.07647	−	5.73209i	−0.123554	−	0.230206i
$621$	−9.13771	−	14.9114i	−0.366684	−	0.598373i
$622$	2.97634	+	1.33378i	0.119340	+	0.0534799i
$623$	37.3130	+	12.1237i	1.49491	+	0.485727i
$624$	26.5779	−	9.90845i	1.06397	−	0.396655i
$625$	−18.3515	−	25.2587i	−0.734060	−	1.01035i
$626$	7.41703	−	1.55780i	0.296444	−	0.0622624i
$627$	8.33200	−	16.8391i	0.332748	−	0.672491i
$628$	23.7336	−	0.506646i	0.947073	−	0.0202174i
$629$	−1.24804	+	2.03661i	−0.0497626	+	0.0812051i
$630$	−1.75355	−	13.5730i	−0.0698629	−	0.540762i
$631$	−11.3748	−	22.3243i	−0.452824	−	0.888716i	−0.998706	−	0.0508546i	$-0.983806\pi$
$631$	−11.3748	−	22.3243i	−0.452824	−	0.888716i	0.545883	−	0.837862i	$-0.316194\pi$
$632$	18.0121	+	18.2753i	0.716482	+	0.726953i
$633$	−6.90939	−	43.6242i	−0.274624	−	1.73390i
$634$	5.15820	+	17.5697i	0.204858	+	0.697782i
$635$	6.33671	+	7.41933i	0.251465	+	0.294427i
$636$	22.0422	−	37.7554i	0.874031	−	1.49710i
$637$	−67.0736	−	27.7828i	−2.65755	−	1.10079i
$638$	13.2217	+	18.8579i	0.523454	+	0.746591i
$639$			8.83100i			0.349349i
$640$	30.4340	−	3.48377i	1.20301	−	0.137708i
$641$	5.30975	+	16.3417i	0.209722	+	0.645459i	0.999486	+	0.0320483i	$0.0102030\pi$
$641$	5.30975	+	16.3417i	0.209722	+	0.645459i	−0.789764	+	0.613411i	$0.789797\pi$
$642$	33.7605	+	41.8975i	1.33242	+	1.65356i
$643$	−4.75024	−	7.75168i	−0.187331	−	0.305697i	0.745163	−	0.666883i	$-0.232372\pi$
$643$	−4.75024	−	7.75168i	−0.187331	−	0.305697i	−0.932494	+	0.361186i	$0.882372\pi$
$644$	39.8020	+	8.66157i	1.56842	+	0.341314i
$645$	20.8653	−	1.64214i	0.821571	−	0.0646591i
$646$	−7.18326	+	9.31469i	−0.282622	+	0.366482i
$647$	−31.3460	−	4.96472i	−1.23234	−	0.195183i	−0.493909	−	0.869513i	$-0.664433\pi$
$647$	−31.3460	−	4.96472i	−1.23234	−	0.195183i	−0.738430	+	0.674330i	$0.764433\pi$
$648$	29.5697	+	4.90352i	1.16161	+	0.192628i
$649$	5.01684	−	22.0351i	0.196928	−	0.864953i
$650$	2.24593	−	11.9565i	0.0880927	−	0.468974i
$651$	10.1648	+	6.22900i	0.398390	+	0.244134i
$652$	38.4055	−	13.3914i	1.50407	−	0.524449i
$653$	−17.6760	+	20.6960i	−0.691716	+	0.809896i	−0.989469	−	0.144748i	$-0.953763\pi$
$653$	−17.6760	+	20.6960i	−0.691716	+	0.809896i	0.297752	+	0.954643i	$0.403763\pi$
$654$	−18.6535	−	8.35919i	−0.729411	−	0.326870i
$655$	6.84958	−	9.42764i	0.267635	−	0.368368i
$656$	24.1655	+	6.72629i	0.943503	+	0.262617i
$657$	0.0715536	+	0.220219i	0.00279157	+	0.00859158i
$658$	58.6430	−	64.8138i	2.28614	−	2.52671i
$659$	13.0473	+	5.40439i	0.508253	+	0.210525i	0.622048	−	0.782979i	$-0.286301\pi$
$659$	13.0473	+	5.40439i	0.508253	+	0.210525i	−0.113795	+	0.993504i	$0.536301\pi$
$660$	−30.0051	−	17.0475i	−1.16795	−	0.663573i
$661$	4.57794	+	11.0521i	0.178061	+	0.429878i	0.987560	−	0.157244i	$-0.0502609\pi$
$661$	4.57794	+	11.0521i	0.178061	+	0.429878i	−0.809498	+	0.587122i	$0.800261\pi$
$662$	−33.0631	+	15.6723i	−1.28503	+	0.609120i
$663$	17.8259	+	9.08276i	0.692302	+	0.352745i
$664$	−8.83032	−	10.4921i	−0.342683	−	0.407174i
$665$	−40.7167	+	6.44889i	−1.57893	+	0.250077i
$666$	−0.0236935	+	0.828278i	−0.000918104	+	0.0320951i
$667$	1.51929	+	19.3045i	0.0588273	+	0.747472i
$668$	−1.35839	+	23.7239i	−0.0525577	+	0.917906i
$669$	−4.17846	−	17.4045i	−0.161549	−	0.672898i
$670$	−0.531598	−	0.347054i	−0.0205374	−	0.0134079i
$671$	−12.2031	+	3.08193i	−0.471096	+	0.118976i
$672$	−44.9452	+	33.6323i	−1.73380	+	1.29739i
$673$	7.10373	+	9.77745i	0.273829	+	0.376893i	0.923678	−	0.383170i	$-0.125168\pi$
$673$	7.10373	+	9.77745i	0.273829	+	0.376893i	−0.649849	+	0.760063i	$0.725168\pi$
$674$	−5.33942	+	19.7360i	−0.205667	+	0.760202i
$675$	6.71333	−	7.86029i	0.258396	−	0.302543i
$676$	−1.04287	+	0.670102i	−0.0401105	+	0.0257732i
$677$	−1.80327	+	7.51117i	−0.0693054	+	0.288678i	−0.996250	−	0.0865202i	$-0.972425\pi$
$677$	−1.80327	+	7.51117i	−0.0693054	+	0.288678i	0.926945	+	0.375198i	$0.122425\pi$
$678$	1.11987	+	3.81445i	0.0430082	+	0.146493i
$679$	−43.6578	−	22.2448i	−1.67543	−	0.853676i
$680$	16.3272	+	14.1509i	0.626119	+	0.542661i
$681$	−7.03266	+	7.03266i	−0.269492	+	0.269492i
$682$	5.24148	−	2.06840i	0.200707	−	0.0792032i
$683$	6.49733	−	2.69128i	0.248614	−	0.102979i	−0.254897	−	0.966968i	$-0.582042\pi$
$683$	6.49733	−	2.69128i	0.248614	−	0.102979i	0.503510	+	0.863989i	$0.332042\pi$
$684$	−0.552179	+	4.04303i	−0.0211131	+	0.154589i
$685$	0.129872	−	1.65018i	0.00496217	−	0.0630503i
$686$	92.0227	+	9.89700i	3.51344	+	0.377869i
$687$	−33.5991	−	24.4112i	−1.28189	−	0.931346i
$688$	−8.98593	−	13.3494i	−0.342585	−	0.508941i
$689$	−12.9739	+	39.9296i	−0.494267	+	1.52120i
$690$	−14.4468	−	25.1628i	−0.549978	−	0.957932i
$691$	−0.666673	−	2.77689i	−0.0253614	−	0.105638i	0.958254	−	0.285920i	$-0.0922991\pi$
$691$	−0.666673	−	2.77689i	−0.0253614	−	0.105638i	−0.983615	+	0.180282i	$0.942299\pi$
$692$	3.47379	−	0.0741558i	0.132054	−	0.00281898i
$693$	11.8534	−	0.139404i	0.450272	−	0.00529553i
$694$	−42.8780	−	8.05426i	−1.62763	−	0.305736i
$695$	17.3683	+	2.75087i	0.658818	+	0.104346i
$696$	−21.4751	−	15.8419i	−0.814012	−	0.600484i
$697$	8.03224	+	15.7642i	0.304243	+	0.597110i
$698$	0.192756	−	6.73837i	0.00729592	−	0.255051i
$699$	1.50354	+	0.360969i	0.0568692	+	0.0136531i
$700$	2.40086	+	23.9565i	0.0907439	+	0.905471i
$701$	3.38297	−	42.9847i	0.127773	−	1.62351i	−0.514818	−	0.857300i	$-0.672140\pi$
$701$	3.38297	−	42.9847i	0.127773	−	1.62351i	0.642591	−	0.766210i	$-0.277860\pi$
$702$	−23.1162	+	1.15543i	−0.872465	+	0.0436088i
$703$	2.49595			0.0941364
$704$	−0.0729053	+	26.5329i	−0.00274772	+	0.999996i
$705$	−62.2607			−2.34487
$706$	16.5846	−	0.828957i	0.624171	−	0.0311982i
$707$	0.261320	−	3.32039i	0.00982795	−	0.124876i
$708$	2.61114	+	26.0548i	0.0981325	+	0.979198i
$709$	22.1713	+	5.32287i	0.832662	+	0.199904i	0.627296	−	0.778781i	$-0.284162\pi$
$709$	22.1713	+	5.32287i	0.832662	+	0.199904i	0.205366	+	0.978685i	$0.434162\pi$
$710$	1.39712	−	48.8406i	0.0524330	−	1.83295i
$711$	2.85037	+	5.59416i	0.106897	+	0.209798i
$712$	−12.7553	+	17.2910i	−0.478027	+	0.648009i
$713$	4.67934	+	0.741134i	0.175242	+	0.0277557i
$714$	−38.9134	−	7.30955i	−1.45630	−	0.273553i
$715$	31.6370	+	9.86969i	1.18316	+	0.369105i
$716$	−47.7785	+	1.01994i	−1.78557	+	0.0381169i
$717$	5.39351	+	22.4656i	0.201424	+	0.838993i
$718$	−1.50188	−	2.61593i	−0.0560498	−	0.0976255i
$719$	3.58419	−	11.0310i	0.133668	−	0.411387i	−0.861713	−	0.507396i	$-0.830608\pi$
$719$	3.58419	−	11.0310i	0.133668	−	0.411387i	0.995380	+	0.0960097i	$0.0306080\pi$
$720$	7.35621	+	1.43712i	0.274150	+	0.0535583i
$721$	19.6125	+	14.2493i	0.730408	+	0.530673i
$722$	−14.4951	−	1.55894i	−0.539450	−	0.0580176i
$723$	0.755064	−	9.59400i	0.0280811	−	0.356805i
$724$	−2.08878	+	15.2939i	−0.0776288	+	0.568395i
$725$	−10.5744	+	4.38005i	−0.392723	+	0.162671i
$726$	17.6921	−	24.0929i	0.656616	−	0.894172i
$727$	15.0528	−	15.0528i	0.558277	−	0.558277i	−0.370540	−	0.928817i	$-0.620827\pi$
$727$	15.0528	−	15.0528i	0.558277	−	0.558277i	0.928817	+	0.370540i	$0.120827\pi$
$728$	35.3073	−	40.7375i	1.30858	−	1.50983i
$729$	−16.2423	−	8.27586i	−0.601566	−	0.306513i
$730$	−0.360893	−	1.22926i	−0.0133572	−	0.0454970i
$731$	2.64964	−	11.0366i	0.0980005	−	0.408202i
$732$	12.2691	−	7.88357i	0.453480	−	0.291385i
$733$	−14.0360	+	16.4341i	−0.518432	+	0.607006i	−0.956427	−	0.291971i	$-0.905689\pi$
$733$	−14.0360	+	16.4341i	−0.518432	+	0.607006i	0.437995	+	0.898978i	$0.355689\pi$
$734$	12.0318	−	44.4728i	0.444101	−	1.64152i
$735$	−60.1568	−	82.7987i	−2.21892	−	3.05408i
$736$	−11.3870	+	19.1834i	−0.419729	+	0.707110i
$737$	0.352184	−	0.422311i	0.0129728	−	0.0155560i
$738$	5.13936	+	3.35523i	0.189182	+	0.123508i
$739$	−5.39085	−	22.4545i	−0.198306	−	0.826002i	−0.979456	−	0.201659i	$-0.935367\pi$
$739$	−5.39085	−	22.4545i	−0.198306	−	0.826002i	0.781150	−	0.624343i	$-0.214633\pi$
$740$	0.262078	−	4.57711i	0.00963416	−	0.168258i
$741$	−1.64024	−	20.8412i	−0.0602556	−	0.765620i
$742$	2.37587	−	83.0557i	0.0872208	−	3.04907i
$743$	−17.5328	+	2.77692i	−0.643214	+	0.101875i	−0.469516	−	0.882924i	$-0.655572\pi$
$743$	−17.5328	+	2.77692i	−0.643214	+	0.101875i	−0.173698	+	0.984799i	$0.555572\pi$
$744$	−4.99536	+	4.20415i	−0.183139	+	0.154132i
$745$	29.4059	+	14.9830i	1.07735	+	0.548936i
$746$	10.4493	−	4.95310i	0.382578	−	0.181346i
$747$	−1.28407	−	3.10002i	−0.0469817	−	0.113424i
$748$	−13.8205	+	12.6184i	−0.505328	+	0.461375i
$749$	94.4783	+	39.1342i	3.45216	+	1.42993i
$750$	−13.1753	+	14.5617i	−0.481093	+	0.531716i
$751$	−11.8500	−	36.4706i	−0.432413	−	1.33083i	−0.895714	−	0.444630i	$-0.853335\pi$
$751$	−11.8500	−	36.4706i	−0.432413	−	1.33083i	0.463301	−	0.886201i	$-0.346665\pi$
$752$	23.5327	+	41.6857i	0.858148	+	1.52012i
$753$	3.13262	−	4.31168i	0.114159	−	0.157126i
$754$	23.3865	+	10.4802i	0.851688	+	0.381666i
$755$	−22.1401	+	25.9227i	−0.805759	+	0.943423i
$756$	43.2515	−	15.0812i	1.57304	−	0.548497i
$757$	6.89116	+	4.22291i	0.250463	+	0.153484i	0.642064	−	0.766651i	$-0.278078\pi$
$757$	6.89116	+	4.22291i	0.250463	+	0.153484i	−0.391600	+	0.920135i	$0.628078\pi$
$758$	−2.53476	+	13.4942i	−0.0920668	+	0.490131i
$759$	23.1041	−	9.88994i	0.838627	−	0.358982i
$760$	3.69351	−	22.2730i	0.133978	−	0.807925i
$761$	−4.62061	−	0.731833i	−0.167497	−	0.0265289i	0.0721225	−	0.997396i	$-0.477023\pi$
$761$	−4.62061	−	0.731833i	−0.167497	−	0.0265289i	−0.239620	+	0.970867i	$0.577023\pi$
$762$	5.97999	−	7.75438i	0.216632	−	0.280912i
$763$	−38.7292	+	3.04805i	−1.40209	+	0.110347i
$764$	−47.8512	−	10.4132i	−1.73120	−	0.376737i
$765$	2.76226	+	4.50759i	0.0998696	+	0.162972i
$766$	11.8403	+	14.6941i	0.427807	+	0.530918i
$767$	−7.77070	−	23.9158i	−0.280584	−	0.863548i
$768$	−9.69995	−	29.1733i	−0.350017	−	1.05270i
$769$		−	3.64254i		−	0.131353i	−0.997841	−	0.0656767i	$-0.979079\pi$
$769$		−	3.64254i		−	0.131353i	0.997841	−	0.0656767i	$-0.0209206\pi$
$770$	−65.5781	−	1.10429i	−2.36327	−	0.0397959i
$771$	−38.7595	−	16.0547i	−1.39589	−	0.578196i
$772$	−15.1994	+	26.0346i	−0.547038	+	0.937004i
$773$	−2.86848	−	3.35855i	−0.103172	−	0.120799i	0.706417	−	0.707795i	$-0.250310\pi$
$773$	−2.86848	−	3.35855i	−0.103172	−	0.120799i	−0.809589	+	0.586997i	$0.800310\pi$
$774$	−1.10916	−	3.77798i	−0.0398679	−	0.135797i
$775$	0.438064	+	2.76583i	0.0157357	+	0.0993515i
$776$	19.1122	−	18.8369i	0.686087	−	0.676205i
$777$	3.81419	+	7.48576i	0.136833	+	0.268550i
$778$	1.44373	+	11.1749i	0.0517601	+	0.400640i
$779$	9.65978	−	15.7633i	0.346098	−	0.564780i
$780$	−38.3912	+	0.819545i	−1.37463	+	0.0293444i
$781$	41.8753	+	6.12849i	1.49841	+	0.219295i
$782$	−15.3988	+	3.23422i	−0.550659	+	0.115655i
$783$	12.7992	+	17.6165i	0.457405	+	0.629564i
$784$	−32.6992	+	71.5725i	−1.16783	+	2.55616i
$785$	−30.5646	−	9.93105i	−1.09090	−	0.354454i
$786$	−10.6727	−	4.78276i	−0.380684	−	0.170596i
$787$	1.54381	+	2.51926i	0.0550307	+	0.0898020i	0.878972	−	0.476873i	$-0.158230\pi$
$787$	1.54381	+	2.51926i	0.0550307	+	0.0898020i	−0.823942	+	0.566675i	$0.808230\pi$
$788$	−2.84165	−	5.29456i	−0.101229	−	0.188611i
$789$	−33.2907	−	38.9784i	−1.18518	−	1.38767i
$790$	−14.8792	−	31.3899i	−0.529377	−	1.11680i
$791$	5.34255	+	5.34255i	0.189959	+	0.189959i
$792$	−1.97834	+	6.18338i	−0.0702973	+	0.219717i
$793$	−9.90310	+	9.90310i	−0.351669	+	0.351669i
$794$	39.7431	+	14.1820i	1.41043	+	0.503301i
$795$	−45.0053	+	38.4382i	−1.59617	+	1.36326i
$796$	−39.3874	−	32.2119i	−1.39605	−	1.14172i
$797$	13.6791	−	8.38254i	0.484537	−	0.296925i	−0.258694	−	0.965959i	$-0.583292\pi$
$797$	13.6791	−	8.38254i	0.484537	−	0.296925i	0.743231	+	0.669034i	$0.233292\pi$
$798$	14.7335	+	38.6612i	0.521559	+	1.36859i
$799$	−10.4335	+	32.1112i	−0.369112	+	1.13601i
$800$	−12.8637	−	2.89723i	−0.454800	−	0.102433i
$801$	−4.25334	+	3.09023i	−0.150284	+	0.109188i
$802$	−17.9206	+	27.4498i	−0.632799	+	0.969285i
$803$	1.09390	−	0.186470i	0.0386030	−	0.00658037i
$804$	−0.231210	+	0.593724i	−0.00815414	+	0.0209390i
$805$	−47.0185	−	28.8130i	−1.65718	−	1.01552i
$806$	3.82898	−	4.96512i	0.134870	−	0.174889i
$807$	−2.94874	+	1.50246i	−0.103801	+	0.0528891i
$808$	1.68013	+	0.710254i	0.0591067	+	0.0249867i
$809$	38.1542	−	6.04303i	1.34143	−	0.212462i	0.555881	−	0.831262i	$-0.312381\pi$
$809$	38.1542	−	6.04303i	1.34143	−	0.212462i	0.785549	+	0.618800i	$0.212381\pi$
$810$	−35.6135	−	19.4482i	−1.25133	−	0.683341i
$811$	−8.34960	+	7.13123i	−0.293194	+	0.250411i	−0.783862	−	0.620935i	$-0.786753\pi$
$811$	−8.34960	+	7.13123i	−0.293194	+	0.250411i	0.490668	+	0.871347i	$0.336753\pi$
$812$	−50.2516	−	6.86314i	−1.76349	−	0.240849i
$813$	15.1118	−	36.4831i	0.529994	−	1.27952i
$814$	3.91112	+	0.687155i	0.137085	+	0.0240848i
$815$	−55.0629			−1.92877
$816$	10.5307	−	18.9556i	0.368648	−	0.663578i
$817$	−11.2798	+	3.66502i	−0.394629	+	0.128223i
$818$	0.913844	+	0.0982836i	0.0319518	+	0.00343640i
$819$	11.2467	−	6.89202i	0.392993	−	0.240827i
$820$	−27.8928	−	19.3695i	−0.974059	−	0.676411i
$821$	−0.541623	−	6.88197i	−0.0189028	−	0.240183i	−0.999109	−	0.0422035i	$-0.986562\pi$
$821$	−0.541623	−	6.88197i	−0.0189028	−	0.240183i	0.980206	−	0.197979i	$-0.0634378\pi$
$822$	−1.64759	+	0.212857i	−0.0574662	+	0.00742425i
$823$	−6.55625	+	41.3945i	−0.228537	+	1.44292i	0.560285	+	0.828300i	$0.310692\pi$
$823$	−6.55625	+	41.3945i	−0.228537	+	1.44292i	−0.788821	+	0.614623i	$0.789308\pi$
$824$	−10.7975	+	7.72576i	−0.376147	+	0.269140i
$825$	9.77957	+	11.1814i	0.340481	+	0.389287i
$826$	28.0887	+	41.0818i	0.977332	+	1.42942i
$827$	−8.77029	+	14.3118i	−0.304973	+	0.497671i	−0.968009	−	0.250917i	$-0.919268\pi$
$827$	−8.77029	+	14.3118i	−0.304973	+	0.497671i	0.663036	+	0.748588i	$0.269268\pi$
$828$	−4.07405	+	3.63277i	−0.141583	+	0.126248i
$829$	28.1549	+	24.0465i	0.977860	+	0.835171i	0.986328	−	0.164793i	$-0.0526957\pi$
$829$	28.1549	+	24.0465i	0.977860	+	0.835171i	−0.00846859	+	0.999964i	$0.502696\pi$
$830$	6.61122	+	17.3481i	0.229479	+	0.602161i
$831$	35.3718	+	25.6991i	1.22703	+	0.891492i
$832$	15.0594	+	25.3945i	0.522092	+	0.880396i
$833$	−52.7847	+	17.1508i	−1.82888	+	0.594240i
$834$	−0.881031	−	17.6265i	−0.0305076	−	0.610354i
$835$	12.3108	−	29.7210i	0.426034	−	1.02854i
$836$	18.7882	+	5.42411i	0.649805	+	0.187597i
$837$	4.92202	−	2.03877i	0.170130	−	0.0704702i
$838$	−24.8085	−	8.85272i	−0.856996	−	0.305812i
$839$	3.83697	−	7.53048i	0.132467	−	0.259981i	−0.815240	−	0.579124i	$-0.803395\pi$
$839$	3.83697	−	7.53048i	0.132467	−	0.259981i	0.947707	+	0.319143i	$0.103395\pi$
$840$	72.4446	−	22.9590i	2.49958	−	0.792162i
$841$	0.764861	+	4.82914i	0.0263745	+	0.166522i
$842$	−11.9640	−	12.6687i	−0.412308	−	0.436592i
$843$	−21.6516	+	1.70402i	−0.745721	+	0.0586895i
$844$	43.4097	−	15.1363i	1.49422	−	0.521014i
$845$	1.63180	−	0.391759i	0.0561355	−	0.0134769i
$846$	2.40752	+	11.4627i	0.0827722	+	0.394096i
$847$	7.56490	−	56.3036i	0.259933	−	1.93461i
$848$	42.7464	+	15.6042i	1.46792	+	0.535850i
$849$	−21.6462	+	15.7269i	−0.742894	+	0.539744i
$850$	−4.63071	−	8.06560i	−0.158832	−	0.276648i
$851$	2.53882	+	2.16835i	0.0870295	+	0.0743302i
$852$	−48.2589	+	8.70309i	−1.65332	+	0.298163i
$853$	−22.8884	−	5.49503i	−0.783686	−	0.188146i	−0.178191	−	0.983996i	$-0.557025\pi$
$853$	−22.8884	−	5.49503i	−0.783686	−	0.188146i	−0.605494	+	0.795850i	$0.707025\pi$
$854$	13.2842	−	24.3260i	0.454576	−	0.832419i
$855$	2.50794	−	4.92212i	0.0857699	−	0.168333i
$856$	−36.6808	+	42.3222i	−1.25372	+	1.44654i
$857$	−5.27567	−	5.27567i	−0.180214	−	0.180214i	0.611235	−	0.791449i	$-0.290673\pi$
$857$	−5.27567	−	5.27567i	−0.180214	−	0.180214i	−0.791449	+	0.611235i	$0.790673\pi$
$858$	3.16752	−	33.1095i	0.108137	−	1.13034i
$859$	−0.824307	−	1.99005i	−0.0281250	−	0.0678997i	0.909193	−	0.416375i	$-0.136700\pi$
$859$	−0.824307	−	1.99005i	−0.0281250	−	0.0678997i	−0.937318	+	0.348475i	$0.886700\pi$
$860$	5.53659	+	21.0699i	0.188796	+	0.718477i
$861$	62.0385	+	4.88254i	2.11427	+	0.166396i
$862$	−17.0874	−	21.2058i	−0.581999	−	0.722273i
$863$	−15.4650	+	21.2858i	−0.526435	+	0.724576i	−0.986582	−	0.163267i	$-0.947797\pi$
$863$	−15.4650	+	21.2858i	−0.526435	+	0.724576i	0.460147	+	0.887843i	$0.347797\pi$
$864$	0.353452	+	25.0836i	0.0120247	+	0.853362i
$865$	−4.47363	−	1.45357i	−0.152108	−	0.0494228i
$866$	22.3531	+	6.04748i	0.759591	+	0.205502i
$867$	−16.8906	+	4.05506i	−0.573634	+	0.137717i
$868$	−4.50288	+	11.5629i	−0.152838	+	0.392472i
$869$	28.5047	−	9.63380i	0.966957	−	0.326804i
$870$	20.3906	+	29.8228i	0.691307	+	1.01109i
$871$	0.0957190	−	0.604346i	0.00324331	−	0.0204775i
$872$	5.11679	−	20.6518i	0.173276	−	0.699359i
$873$	5.85033	−	2.98089i	0.198004	−	0.100888i
$874$	11.2890	+	11.9539i	0.381856	+	0.404346i
$875$	−8.71263	+	36.2907i	−0.294541	+	1.22685i
$876$	−1.13292	+	0.608050i	−0.0382778	+	0.0205441i
$877$	−13.1243	−	1.03291i	−0.443176	−	0.0348787i	−0.145092	−	0.989418i	$-0.546348\pi$
$877$	−13.1243	−	1.03291i	−0.443176	−	0.0348787i	−0.298085	+	0.954539i	$0.596348\pi$
$878$	−14.4259	−	13.0524i	−0.486850	−	0.440498i
$879$		−	32.5689i		−	1.09852i
$880$	11.9196	−	33.8847i	0.401810	−	1.14225i
$881$			49.8780i			1.68043i	0.542253	+	0.840216i	$0.317572\pi$
$881$			49.8780i			1.68043i	−0.542253	+	0.840216i	$0.682428\pi$
$882$	−12.9178	+	14.2770i	−0.434964	+	0.480733i
$883$	10.5715	+	0.831997i	0.355760	+	0.0279989i	0.255080	−	0.966920i	$-0.417898\pi$
$883$	10.5715	+	0.831997i	0.355760	+	0.0279989i	0.100680	+	0.994919i	$0.467898\pi$
$884$	−6.01086	+	19.9377i	−0.202167	+	0.670579i
$885$	8.27547	−	34.4698i	0.278177	−	1.15869i
$886$	−4.39928	+	4.15459i	−0.147797	+	0.139576i
$887$	49.2148	−	25.0762i	1.65247	−	0.841976i	0.656304	−	0.754497i	$-0.272119\pi$
$887$	49.2148	−	25.0762i	1.65247	−	0.841976i	0.996166	−	0.0874787i	$-0.0278810\pi$
$888$	−4.54966	+	0.686802i	−0.152676	+	0.0230476i
$889$	2.91139	−	18.3818i	0.0976448	−	0.616505i
$890$	24.0123	−	16.4179i	0.804895	−	0.550328i
$891$	20.3231	−	28.6756i	0.680850	−	0.960667i
$892$	17.0563	−	7.49534i	0.571088	−	0.250963i
$893$	34.3063	−	8.23621i	1.14802	−	0.275614i
$894$	8.65006	−	31.9730i	0.289301	−	1.06934i
$895$	61.5302	+	19.9924i	2.05673	+	0.668272i
$896$	−42.7538	−	39.8264i	−1.42830	−	1.33051i
$897$	16.4374	−	22.6241i	0.548828	−	0.755398i
$898$	−23.6473	+	19.0548i	−0.789122	+	0.635865i
$899$	−5.88077	−	0.462826i	−0.196135	−	0.0154361i
$900$	−2.78627	−	1.62667i	−0.0928757	−	0.0542224i
$901$	12.2827	+	29.6531i	0.409196	+	0.987887i
$902$	19.4766	−	22.0416i	0.648499	−	0.733904i
$903$	−28.2292	−	28.2292i	−0.939410	−	0.939410i
$904$	−3.70043	+	1.85177i	−0.123074	+	0.0615891i
$905$	9.48702	−	18.6193i	0.315359	−	0.618927i
$906$	30.0283	+	16.3982i	0.997622	+	0.544792i
$907$	34.0402	+	8.17232i	1.13029	+	0.271357i	0.755111	−	0.655597i	$-0.227583\pi$
$907$	34.0402	+	8.17232i	1.13029	+	0.271357i	0.375174	+	0.926954i	$0.377583\pi$
$908$	−8.50301	−	5.90471i	−0.282182	−	0.195955i
$909$	0.339386	+	0.289863i	0.0112567	+	0.00961414i
$910$	−63.2914	+	36.3375i	−2.09809	+	1.20458i
$911$	−2.33398	+	1.69574i	−0.0773283	+	0.0561823i	−0.625778	−	0.780001i	$-0.715218\pi$
$911$	−2.33398	+	1.69574i	−0.0773283	+	0.0561823i	0.548449	+	0.836184i	$0.315218\pi$
$912$	−22.6382	+	0.966966i	−0.749626	+	0.0320195i
$913$	−15.5909	+	3.93753i	−0.515985	+	0.130313i
$914$	−15.8126	+	3.32114i	−0.523036	+	0.109853i
$915$	−19.1976	+	4.60894i	−0.634654	+	0.152367i
$916$	18.7986	−	38.9266i	0.621124	−	1.28617i
$917$	−22.1591	+	1.74396i	−0.731759	+	0.0575907i
$918$	−12.8641	+	12.1486i	−0.424580	+	0.400965i
$919$	2.03923	+	12.8752i	0.0672679	+	0.424713i	0.998224	+	0.0595805i	$0.0189763\pi$
$919$	2.03923	+	12.8752i	0.0672679	+	0.424713i	−0.930956	+	0.365132i	$0.881024\pi$
$920$	23.1066	−	19.4468i	0.761802	−	0.641142i
$921$	−21.5707	+	42.3348i	−0.710778	+	1.39498i
$922$	10.8647	−	30.4469i	0.357811	−	1.00271i
$923$	43.5075	−	18.0214i	1.43207	−	0.593181i
$924$	12.4435	+	64.6380i	0.409360	+	2.12643i
$925$	−0.755208	+	1.82323i	−0.0248311	+	0.0599475i
$926$	15.9583	−	0.797649i	0.524421	−	0.0262124i
$927$	−3.08959	+	1.00387i	−0.101475	+	0.0329713i
$928$	12.2604	−	24.9244i	0.402466	−	0.818183i
$929$	−12.0777	−	8.77499i	−0.396258	−	0.287898i	0.371757	−	0.928330i	$-0.378755\pi$
$929$	−12.0777	−	8.77499i	−0.396258	−	0.287898i	−0.768015	+	0.640432i	$0.778755\pi$
$930$	8.25950	−	3.14763i	0.270840	−	0.103215i
$931$	44.1001	+	37.6650i	1.44532	+	1.23442i
$932$	−0.0920041	+	1.60683i	−0.00301370	+	0.0526333i
$933$	−2.31540	+	3.77839i	−0.0758028	+	0.123699i
$934$	−27.8737	+	19.0580i	−0.912056	+	0.623597i
$935$	23.2912	−	9.97004i	0.761705	−	0.326055i
$936$	1.63541	+	7.03645i	0.0534550	+	0.229993i
$937$	−7.32862	+	46.2711i	−0.239416	+	1.51161i	0.516128	+	0.856512i	$0.327373\pi$
$937$	−7.32862	+	46.2711i	−0.239416	+	1.51161i	−0.755543	+	0.655099i	$0.772627\pi$
$938$	0.155156	+	1.20096i	0.00506603	+	0.0392128i
$939$	0.807917	+	10.2656i	0.0263654	+	0.335004i
$940$	−11.5015	−	63.7763i	−0.375138	−	2.08015i
$941$	−25.6445	+	15.7149i	−0.835986	+	0.512293i	−0.873398	−	0.487007i	$-0.838089\pi$
$941$	−25.6445	+	15.7149i	−0.835986	+	0.512293i	0.0374123	+	0.999300i	$0.488089\pi$
$942$	−3.44900	+	32.0689i	−0.112374	+	1.04486i
$943$	23.5201	−	7.64215i	0.765920	−	0.248862i
$944$	−26.2066	+	7.48783i	−0.852954	+	0.243708i
$945$	−62.0108			−2.01721
$946$	−18.6843	+	2.63764i	−0.607480	+	0.0857570i
$947$	0.494074	−	1.19280i	0.0160552	−	0.0387608i	−0.915649	−	0.401980i	$-0.868322\pi$
$947$	0.494074	−	1.19280i	0.0160552	−	0.0387608i	0.931704	+	0.363219i	$0.118322\pi$
$948$	−27.7614	+	21.0896i	−0.901650	+	0.684958i
$949$	0.938930	−	0.801922i	0.0304789	−	0.0260315i
$950$	−4.65784	+	8.52943i	−0.151120	+	0.276731i
$951$	−24.5730	+	3.89197i	−0.796833	+	0.126206i
$952$	0.298948	−	41.2110i	0.00968897	−	1.33566i
$953$	−1.09452	+	0.557685i	−0.0354549	+	0.0180652i	−0.471628	−	0.881798i	$-0.656334\pi$
$953$	−1.09452	+	0.557685i	−0.0354549	+	0.0180652i	0.436173	+	0.899863i	$0.356334\pi$
$954$	8.81707	+	6.79951i	0.285463	+	0.220142i
$955$	56.5271	+	34.6398i	1.82917	+	1.12092i
$956$	−22.0161	+	9.67491i	−0.712052	+	0.312909i
$957$	−27.7125	+	14.5332i	−0.895819	+	0.469793i
$958$	−20.2635	−	13.2291i	−0.654686	−	0.427412i
$959$	−2.55434	+	1.85584i	−0.0824840	+	0.0599281i
$960$	−0.603802	+	41.6159i	−0.0194876	+	1.34315i
$961$	9.13354	−	28.1101i	0.294630	−	0.906779i
$962$	4.12901	−	1.57353i	0.133125	−	0.0507327i
$963$	−11.6843	+	7.16012i	−0.376520	+	0.230732i
$964$	9.96703	−	0.998869i	0.321017	−	0.0321714i
$965$	31.0338	−	26.5054i	0.999013	−	0.853238i
$966$	−18.6004	+	52.1249i	−0.598457	+	1.67709i
$967$	17.1700	−	17.1700i	0.552150	−	0.552150i	−0.374911	−	0.927061i	$-0.622327\pi$
$967$	17.1700	−	17.1700i	0.552150	−	0.552150i	0.927061	+	0.374911i	$0.122327\pi$
$968$	27.9477	+	13.6721i	0.898273	+	0.439438i
$969$	−11.3009	−	11.3009i	−0.363038	−	0.363038i
$970$	−32.8273	+	15.5605i	−1.05402	+	0.499618i
$971$	−34.7083	−	40.6382i	−1.11384	−	1.30414i	−0.948100	−	0.317972i	$-0.896998\pi$
$971$	−34.7083	−	40.6382i	−1.11384	−	1.30414i	−0.165741	−	0.986169i	$-0.553002\pi$
$972$	−4.07481	+	13.5160i	−0.130700	+	0.433524i
$973$	−17.5255	−	28.5990i	−0.561842	−	0.916843i
$974$	−20.0225	+	44.6802i	−0.641562	+	1.43165i
$975$	15.7203	+	5.10784i	0.503453	+	0.163582i
$976$	10.3420	+	11.1114i	0.331038	+	0.355669i
$977$	−6.28492	−	8.65045i	−0.201072	−	0.276752i	0.696559	−	0.717500i	$-0.254713\pi$
$977$	−6.28492	−	8.65045i	−0.201072	−	0.276752i	−0.897631	+	0.440747i	$0.854713\pi$
$978$	11.3589	+	54.0822i	0.363218	+	1.72936i
$979$	11.7017	+	22.3132i	0.373988	+	0.713133i
$980$	73.7014	−	76.9167i	2.35431	−	2.45701i
$981$	2.72009	−	4.43878i	0.0868457	−	0.141719i
$982$	0.315358	−	0.0407422i	0.0100635	−	0.00130013i
$983$	16.3510	+	32.0906i	0.521515	+	1.02353i	0.990133	+	0.140130i	$0.0447520\pi$
$983$	16.3510	+	32.0906i	0.521515	+	1.02353i	−0.468618	+	0.883401i	$0.655248\pi$
$984$	−13.2705	+	31.3918i	−0.423048	+	1.00073i
$985$	1.27257	+	8.03467i	0.0405473	+	0.256006i
$986$	18.7982	−	5.51889i	0.598658	−	0.175757i
$987$	77.1270	+	90.3041i	2.45498	+	2.87441i
$988$	21.0455	−	5.53019i	0.669548	−	0.175939i
$989$	−14.6575	−	6.07134i	−0.466082	−	0.193057i
$990$	5.28502	−	7.02245i	0.167969	−	0.223188i
$991$			8.84190i			0.280872i	0.990090	+	0.140436i	$0.0448504\pi$
$991$			8.84190i			0.280872i	−0.990090	+	0.140436i	$0.955150\pi$
$992$	−5.22929	−	4.34032i	−0.166030	−	0.137805i
$993$	−15.3624	−	47.2805i	−0.487510	−	1.50040i
$994$	−72.5701	+	58.4761i	−2.30178	+	1.85475i
$995$	35.9915	+	58.7327i	1.14101	+	1.86195i
$996$	15.6753	−	10.0722i	0.496690	−	0.319150i
$997$	−11.0567	+	0.870185i	−0.350171	+	0.0275590i	−0.252325	−	0.967643i	$-0.581195\pi$
$997$	−11.0567	+	0.870185i	−0.350171	+	0.0275590i	−0.0978458	+	0.995202i	$0.531195\pi$
$998$	−18.1634	−	14.0072i	−0.574952	−	0.443389i
$999$	3.70826	+	0.587330i	0.117324	+	0.0185823i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	352.2.bc.a.19.1	✓	736
11.7	odd	10	inner	352.2.bc.a.51.29	yes	736
32.27	odd	8	inner	352.2.bc.a.283.29	yes	736
352.315	even	40	inner	352.2.bc.a.315.1	yes	736

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
352.2.bc.a.19.1	✓	736	1.1	even	1	trivial
352.2.bc.a.51.29	yes	736	11.7	odd	10	inner
352.2.bc.a.283.29	yes	736	32.27	odd	8	inner
352.2.bc.a.315.1	yes	736	352.315	even	40	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:	\( N \)	\(=\)	\( 352 = 2^{5} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	352.bc (of order \(40\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41245 + 0.0705991i) q^{2} +(0.150757 - 1.91555i) q^{3} +(1.99003 - 0.199436i) q^{4} +(-2.63276 - 0.632071i) q^{5} +(-0.0777007 + 2.71626i) q^{6} +(2.34464 + 4.60161i) q^{7} +(-2.79674 + 0.422187i) q^{8} +(-0.683545 - 0.108263i) q^{9} +(3.76327 + 0.706898i) q^{10} +(-0.987728 + 3.16613i) q^{11} +(-0.0820176 - 3.84207i) q^{12} +(0.861531 + 3.58853i) q^{13} +(-3.63655 - 6.33401i) q^{14} +(-1.60767 + 4.94791i) q^{15} +(3.92045 - 0.793766i) q^{16} +(2.28249 + 1.65833i) q^{17} +(0.973116 + 0.104658i) q^{18} +(0.231306 - 2.93902i) q^{19} +(-5.36534 - 0.732774i) q^{20} +(9.16809 - 3.79755i) q^{21} +(1.17159 - 4.54174i) q^{22} +(2.78855 - 2.78855i) q^{23} +(0.387093 + 5.42095i) q^{24} +(2.07690 + 1.05823i) q^{25} +(-1.47022 - 5.00780i) q^{26} +(1.03525 - 4.31211i) q^{27} +(5.58362 + 8.68974i) q^{28} +(-3.18896 + 3.73379i) q^{29} +(1.92144 - 7.10217i) q^{30} +(0.706137 + 0.971914i) q^{31} +(-5.48140 + 1.39794i) q^{32} +(5.91598 + 2.36936i) q^{33} +(-3.34098 - 2.18116i) q^{34} +(-3.26433 - 13.5969i) q^{35} +(-1.38187 - 0.0791234i) q^{36} +(0.0664255 + 0.844016i) q^{37} +(-0.119216 + 4.16755i) q^{38} +(7.00390 - 1.10931i) q^{39} +(7.63001 + 0.656218i) q^{40} +(5.58753 + 2.84699i) q^{41} +(-12.6814 + 6.01110i) q^{42} +(-1.53954 - 3.71677i) q^{43} +(-1.33417 + 6.49769i) q^{44} +(1.73118 + 0.717079i) q^{45} +(-3.74182 + 4.13556i) q^{46} +(3.69812 + 11.3816i) q^{47} +(-0.929464 - 7.62949i) q^{48} +(-11.5630 + 15.9151i) q^{49} +(-3.00823 - 1.34808i) q^{50} +(3.52071 - 4.12222i) q^{51} +(2.43015 + 6.96947i) q^{52} +(9.69994 + 5.94413i) q^{53} +(-1.15780 + 6.16373i) q^{54} +(4.60168 - 7.71137i) q^{55} +(-8.50008 - 11.8796i) q^{56} +(-5.59497 - 0.886157i) q^{57} +(4.24064 - 5.49893i) q^{58} +(-6.79284 + 0.534608i) q^{59} +(-2.21253 + 10.1671i) q^{60} +(1.98283 + 3.23569i) q^{61} +(-1.06600 - 1.32293i) q^{62} +(-1.10448 - 3.39924i) q^{63} +(7.64352 - 2.36150i) q^{64} -9.99231i q^{65} +(-8.52331 - 2.92894i) q^{66} +(-0.153178 - 0.0634483i) q^{67} +(4.87296 + 2.84491i) q^{68} +(-4.92122 - 5.76201i) q^{69} +(5.57064 + 18.9745i) q^{70} +(-1.99616 - 12.6033i) q^{71} +(1.95740 + 0.0141992i) q^{72} +(-0.151897 - 0.298114i) q^{73} +(-0.153410 - 1.18744i) q^{74} +(2.34021 - 3.81888i) q^{75} +(-0.125839 - 5.89487i) q^{76} +(-16.8852 + 2.87829i) q^{77} +(-9.81435 + 2.06131i) q^{78} +(-5.33244 - 7.33947i) q^{79} +(-10.8233 - 0.388203i) q^{80} +(-10.0786 - 3.27473i) q^{81} +(-8.09310 - 3.62675i) q^{82} +(2.53331 + 4.13398i) q^{83} +(17.4874 - 9.38568i) q^{84} +(-4.96108 - 5.80868i) q^{85} +(2.43692 + 5.14107i) q^{86} +(6.67151 + 6.67151i) q^{87} +(1.42572 - 9.27186i) q^{88} +(5.37168 - 5.37168i) q^{89} +(-2.49583 - 0.890619i) q^{90} +(-14.4930 + 12.3782i) q^{91} +(4.99317 - 6.10545i) q^{92} +(1.96821 - 1.20612i) q^{93} +(-6.02694 - 15.8149i) q^{94} +(-2.46664 + 7.59155i) q^{95} +(1.85146 + 10.7107i) q^{96} +(-7.67556 + 5.57662i) q^{97} +(15.2085 - 23.2956i) q^{98} +(1.01793 - 2.05726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 736 q - 20 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 20 q^{6} - 20 q^{7} - 20 q^{8} - 12 q^{9} - 16 q^{11} - 20 q^{13} - 28 q^{14} - 24 q^{15} - 52 q^{16} - 120 q^{18} - 20 q^{19} + 4 q^{20} - 4 q^{22} - 48 q^{23}+ \cdots - 68 q^{99}+O(q^{100}) \) 736 * q - 20 * q^2 - 12 * q^3 - 12 * q^4 - 12 * q^5 - 20 * q^6 - 20 * q^7 - 20 * q^8 - 12 * q^9 - 16 * q^11 - 20 * q^13 - 28 * q^14 - 24 * q^15 - 52 * q^16 - 120 * q^18 - 20 * q^19 + 4 * q^20 - 4 * q^22 - 48 * q^23 - 20 * q^24 - 12 * q^25 + 48 * q^26 - 12 * q^27 - 20 * q^28 - 20 * q^29 - 20 * q^30 - 32 * q^33 + 24 * q^34 - 20 * q^35 - 12 * q^36 - 12 * q^37 - 12 * q^38 - 20 * q^39 - 20 * q^40 - 20 * q^41 - 52 * q^42 + 24 * q^44 - 8 * q^45 - 20 * q^46 - 24 * q^47 - 12 * q^48 - 20 * q^50 - 20 * q^51 - 20 * q^52 - 60 * q^53 + 16 * q^55 - 248 * q^56 - 20 * q^57 - 12 * q^58 + 20 * q^59 + 68 * q^60 - 20 * q^61 - 20 * q^62 + 132 * q^64 - 8 * q^66 - 112 * q^67 - 20 * q^68 - 12 * q^69 + 36 * q^70 + 20 * q^71 - 320 * q^72 - 20 * q^73 - 20 * q^74 + 124 * q^75 - 32 * q^77 - 80 * q^78 - 40 * q^79 + 124 * q^80 + 28 * q^82 - 20 * q^83 - 20 * q^84 - 20 * q^85 - 116 * q^86 - 20 * q^88 - 32 * q^89 - 20 * q^90 - 156 * q^91 + 148 * q^92 - 36 * q^93 - 160 * q^94 - 20 * q^96 - 24 * q^97 - 68 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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