LMFDB - Embedded newform 104.2.u.a.19.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [104,2,Mod(11,104)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("104.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(104, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([6, 6, 7])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 104 = 2^{3} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	104.u (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$0.830444181021$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.3
Character	$\chi$	$=$	104.19
Dual form			104.2.u.a.11.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.22577 - 0.705331i) q^{2} +(0.0597334 - 0.103461i) q^{3} +(1.00502 + 1.72914i) q^{4} +(2.08890 + 2.08890i) q^{5} +(-0.146194 + 0.0846877i) q^{6} +(-1.83497 - 0.491678i) q^{7} +(-0.0122979 - 2.82840i) q^{8} +(1.49286 + 2.58572i) q^{9} +(-1.08714 - 4.03388i) q^{10} +(5.53261 - 1.48246i) q^{11} +(0.238933 - 0.000692584i) q^{12} +(-0.0282216 - 3.60544i) q^{13} +(1.90245 + 1.89694i) q^{14} +(0.340898 - 0.0913433i) q^{15} +(-1.97988 + 3.47564i) q^{16} +(-3.70190 + 2.13730i) q^{17} +(-0.00611971 - 4.22245i) q^{18} +(-4.12503 - 1.10530i) q^{19} +(-1.51263 + 5.71140i) q^{20} +(-0.160478 + 0.160478i) q^{21} +(-7.82732 - 2.08517i) q^{22} +(-1.56097 + 2.70367i) q^{23} +(-0.293364 - 0.167678i) q^{24} +3.72704i q^{25} +(-2.50844 + 4.43934i) q^{26} +0.715095 q^{27} +(-0.993990 - 3.66707i) q^{28} +(3.41586 + 1.97215i) q^{29} +(-0.482289 - 0.128480i) q^{30} +(-5.91568 - 5.91568i) q^{31} +(4.87835 - 2.86385i) q^{32} +(0.177104 - 0.660963i) q^{33} +(6.04518 - 0.00876144i) q^{34} +(-2.80600 - 4.86014i) q^{35} +(-2.97072 + 5.18006i) q^{36} +(0.0218323 + 0.0814791i) q^{37} +(4.27673 + 4.26435i) q^{38} +(-0.374709 - 0.212445i) q^{39} +(5.88257 - 5.93395i) q^{40} +(-1.89625 - 7.07690i) q^{41} +(0.309900 - 0.0835190i) q^{42} +(-3.96129 + 2.28705i) q^{43} +(8.12375 + 8.07679i) q^{44} +(-2.28286 + 8.51976i) q^{45} +(3.82037 - 2.21308i) q^{46} +(1.33607 - 1.33607i) q^{47} +(0.241329 + 0.412453i) q^{48} +(-2.93682 - 1.69557i) q^{49} +(2.62880 - 4.56849i) q^{50} +0.510672i q^{51} +(6.20597 - 3.67233i) q^{52} -7.65994i q^{53} +(-0.876541 - 0.504379i) q^{54} +(14.6538 + 8.46037i) q^{55} +(-1.36810 + 5.19607i) q^{56} +(-0.360758 + 0.360758i) q^{57} +(-2.79604 - 4.82671i) q^{58} +(0.332032 - 1.23916i) q^{59} +(0.500554 + 0.497660i) q^{60} +(5.12445 - 2.95860i) q^{61} +(3.07874 + 11.4238i) q^{62} +(-1.46802 - 5.47871i) q^{63} +(-7.99970 + 0.0695668i) q^{64} +(7.47247 - 7.59037i) q^{65} +(-0.683287 + 0.685270i) q^{66} +(0.943589 + 3.52152i) q^{67} +(-7.41617 - 4.25311i) q^{68} +(0.186483 + 0.322999i) q^{69} +(0.0115027 + 7.93656i) q^{70} +(-1.87184 + 6.98581i) q^{71} +(7.29508 - 4.25422i) q^{72} +(-2.35363 - 2.35363i) q^{73} +(0.0307085 - 0.115274i) q^{74} +(0.385604 + 0.222629i) q^{75} +(-2.23450 - 8.24362i) q^{76} -10.8810 q^{77} +(0.309462 + 0.524703i) q^{78} +4.48211i q^{79} +(-11.3961 + 3.12449i) q^{80} +(-4.43588 + 7.68316i) q^{81} +(-2.66719 + 10.0121i) q^{82} +(0.871274 - 0.871274i) q^{83} +(-0.438774 - 0.116207i) q^{84} +(-12.1975 - 3.26832i) q^{85} +(6.46875 - 0.00937534i) q^{86} +(0.408082 - 0.235606i) q^{87} +(-4.26102 - 15.6302i) q^{88} +(-0.761451 + 0.204030i) q^{89} +(8.80751 - 8.83308i) q^{90} +(-1.72093 + 6.62974i) q^{91} +(-6.24384 + 0.0180988i) q^{92} +(-0.965407 + 0.258680i) q^{93} +(-2.58009 + 0.695342i) q^{94} +(-6.30793 - 10.9257i) q^{95} +(-0.00489727 - 0.675788i) q^{96} +(11.8738 + 3.18157i) q^{97} +(2.40392 + 4.14981i) q^{98} +(12.0926 + 12.0926i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{2} - 4 q^{3} - 6 q^{4} - 6 q^{6} - 10 q^{8} - 20 q^{9} - 6 q^{10} - 8 q^{11} + 8 q^{14} - 10 q^{16} - 12 q^{17} - 6 q^{18} - 8 q^{19} + 10 q^{20} - 20 q^{22} + 46 q^{24} - 2 q^{26} + 8 q^{27}+ \cdots + 168 q^{99}+O(q^{100}) $ 48 * q - 4 * q^2 - 4 * q^3 - 6 * q^4 - 6 * q^6 - 10 * q^8 - 20 * q^9 - 6 * q^10 - 8 * q^11 + 8 * q^14 - 10 * q^16 - 12 * q^17 - 6 * q^18 - 8 * q^19 + 10 * q^20 - 20 * q^22 + 46 * q^24 - 2 * q^26 + 8 * q^27 + 12 * q^28 - 54 * q^30 + 16 * q^32 + 4 * q^33 - 46 * q^34 - 4 * q^35 + 30 * q^36 - 32 * q^40 - 16 * q^42 - 12 * q^43 - 16 * q^44 + 34 * q^46 + 46 * q^48 - 60 * q^49 + 86 * q^50 + 12 * q^52 + 32 * q^54 + 48 * q^56 + 36 * q^57 + 30 * q^58 - 64 * q^59 + 80 * q^60 + 42 * q^62 - 16 * q^65 + 8 * q^66 - 8 * q^67 - 32 * q^68 + 36 * q^70 - 24 * q^72 - 12 * q^73 + 38 * q^74 + 24 * q^75 - 94 * q^76 + 40 * q^78 - 108 * q^80 - 8 * q^81 + 54 * q^82 - 48 * q^83 - 72 * q^84 + 80 * q^86 - 108 * q^88 + 12 * q^89 + 104 * q^91 - 20 * q^92 + 26 * q^94 - 32 * q^96 + 4 * q^97 - 16 * q^98 + 168 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/104\mathbb{Z}\right)^\times$.

$n$	$41$	$53$	$79$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$-1$	$-1$

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 $

$2$	−1.22577	−	0.705331i	−0.866749	−	0.498744i
$2$	−1.22577	−	0.705331i	−0.866749	−	0.498744i
$3$	0.0597334	−	0.103461i	0.0344871	−	0.0597334i	−0.848267	−	0.529569i	$-0.822354\pi$
$3$	0.0597334	−	0.103461i	0.0344871	−	0.0597334i	0.882754	+	0.469836i	$0.155687\pi$
$4$	1.00502	+	1.72914i	0.502508	+	0.864572i
$5$	2.08890	+	2.08890i	0.934186	+	0.934186i	0.997964	−	0.0637779i	$-0.0203149\pi$
$5$	2.08890	+	2.08890i	0.934186	+	0.934186i	−0.0637779	+	0.997964i	$0.520315\pi$
$6$	−0.146194	+	0.0846877i	−0.0596833	+	0.0345736i
$7$	−1.83497	−	0.491678i	−0.693552	−	0.185837i	−0.105212	−	0.994450i	$-0.533552\pi$
$7$	−1.83497	−	0.491678i	−0.693552	−	0.185837i	−0.588341	+	0.808613i	$0.700219\pi$
$8$	−0.0122979	−	2.82840i	−0.00434796	−	0.999991i
$9$	1.49286	+	2.58572i	0.497621	+	0.861905i
$10$	−1.08714	−	4.03388i	−0.343785	−	1.27563i
$11$	5.53261	−	1.48246i	1.66814	−	0.446978i	0.703535	−	0.710661i	$-0.251604\pi$
$11$	5.53261	−	1.48246i	1.66814	−	0.446978i	0.964609	+	0.263683i	$0.0849372\pi$
$12$	0.238933		0.000692584i	0.0689739		0.000199932i
$13$	−0.0282216	−	3.60544i	−0.00782726	−	0.999969i
$13$	−0.0282216	−	3.60544i	−0.00782726	−	0.999969i
$14$	1.90245	+	1.89694i	0.508451	+	0.506979i
$15$	0.340898	−	0.0913433i	0.0880194	−	0.0235847i
$16$	−1.97988	+	3.47564i	−0.494971	+	0.868909i
$17$	−3.70190	+	2.13730i	−0.897844	+	0.518370i	−0.876500	−	0.481402i	$-0.840128\pi$
$17$	−3.70190	+	2.13730i	−0.897844	+	0.518370i	−0.0213437	+	0.999772i	$0.506794\pi$
$18$	−0.00611971	−	4.22245i	−0.00144243	−	0.995242i
$19$	−4.12503	−	1.10530i	−0.946347	−	0.253573i	−0.247535	−	0.968879i	$-0.579621\pi$
$19$	−4.12503	−	1.10530i	−0.946347	−	0.253573i	−0.698811	+	0.715306i	$0.746287\pi$
$20$	−1.51263	+	5.71140i	−0.338235	+	1.27711i
$21$	−0.160478	+	0.160478i	−0.0350193	+	0.0350193i
$22$	−7.82732	−	2.08517i	−1.66879	−	0.444560i
$23$	−1.56097	+	2.70367i	−0.325484	+	0.563755i	−0.981610	−	0.190897i	$-0.938861\pi$
$23$	−1.56097	+	2.70367i	−0.325484	+	0.563755i	0.656126	+	0.754651i	$0.272194\pi$
$24$	−0.293364	−	0.167678i	−0.0598828	−	0.0342270i
$25$			3.72704i			0.745408i
$26$	−2.50844	+	4.43934i	−0.491945	+	0.870626i
$27$	0.715095			0.137620
$28$	−0.993990	−	3.66707i	−0.187846	−	0.693011i
$29$	3.41586	+	1.97215i	0.634310	+	0.366219i	0.782419	−	0.622752i	$-0.213985\pi$
$29$	3.41586	+	1.97215i	0.634310	+	0.366219i	−0.148110	+	0.988971i	$0.547319\pi$
$30$	−0.482289	−	0.128480i	−0.0880535	−	0.0234571i
$31$	−5.91568	−	5.91568i	−1.06249	−	1.06249i	−0.997913	−	0.0645742i	$-0.979431\pi$
$31$	−5.91568	−	5.91568i	−1.06249	−	1.06249i	−0.0645742	−	0.997913i	$-0.520569\pi$
$32$	4.87835	−	2.86385i	0.862379	−	0.506263i
$33$	0.177104	−	0.660963i	0.0308299	−	0.115059i
$34$	6.04518	−	0.00876144i	1.03674	−	0.00150257i
$35$	−2.80600	−	4.86014i	−0.474301	−	0.821513i
$36$	−2.97072	+	5.18006i	−0.495121	+	0.863344i
$37$	0.0218323	+	0.0814791i	0.00358920	+	0.0133951i	0.967697	−	0.252115i	$-0.0811262\pi$
$37$	0.0218323	+	0.0814791i	0.00358920	+	0.0133951i	−0.964108	+	0.265510i	$0.914460\pi$
$38$	4.27673	+	4.26435i	0.693777	+	0.691769i
$39$	−0.374709	−	0.212445i	−0.0600015	−	0.0340185i
$40$	5.88257	−	5.93395i	0.930116	−	0.938239i
$41$	−1.89625	−	7.07690i	−0.296144	−	1.10523i	−0.940304	−	0.340335i	$-0.889460\pi$
$41$	−1.89625	−	7.07690i	−0.296144	−	1.10523i	0.644160	−	0.764891i	$-0.277207\pi$
$42$	0.309900	−	0.0835190i	0.0478186	−	0.0128873i
$43$	−3.96129	+	2.28705i	−0.604091	+	0.348772i	−0.770649	−	0.637260i	$-0.780068\pi$
$43$	−3.96129	+	2.28705i	−0.604091	+	0.348772i	0.166558	+	0.986032i	$0.446735\pi$
$44$	8.12375	+	8.07679i	1.22470	+	1.21762i
$45$	−2.28286	+	8.51976i	−0.340309	+	1.27005i
$46$	3.82037	−	2.21308i	0.563282	−	0.326301i
$47$	1.33607	−	1.33607i	0.194886	−	0.194886i	−0.602917	−	0.797804i	$-0.705995\pi$
$47$	1.33607	−	1.33607i	0.194886	−	0.194886i	0.797804	+	0.602917i	$0.205995\pi$
$48$	0.241329	+	0.412453i	0.0348328	+	0.0595324i
$49$	−2.93682	−	1.69557i	−0.419546	−	0.242225i
$50$	2.62880	−	4.56849i	0.371768	−	0.646081i
$51$			0.510672i			0.0715083i
$52$	6.20597	−	3.67233i	0.860613	−	0.509260i
$53$		−	7.65994i		−	1.05217i	−0.850431	−	0.526087i	$-0.823659\pi$
$53$		−	7.65994i		−	1.05217i	0.850431	−	0.526087i	$-0.176341\pi$
$54$	−0.876541	−	0.504379i	−0.119282	−	0.0686373i
$55$	14.6538	+	8.46037i	1.97592	+	1.14080i
$56$	−1.36810	+	5.19607i	−0.182820	+	0.694354i
$57$	−0.360758	+	0.360758i	−0.0477835	+	0.0477835i
$58$	−2.79604	−	4.82671i	−0.367138	−	0.633778i
$59$	0.332032	−	1.23916i	0.0432269	−	0.161325i	−0.940939	−	0.338577i	$-0.890054\pi$
$59$	0.332032	−	1.23916i	0.0432269	−	0.161325i	0.984165	+	0.177253i	$0.0567210\pi$
$60$	0.500554	+	0.497660i	0.0646212	+	0.0642477i
$61$	5.12445	−	2.95860i	0.656118	−	0.378810i	−0.134678	−	0.990889i	$-0.543000\pi$
$61$	5.12445	−	2.95860i	0.656118	−	0.378810i	0.790796	+	0.612079i	$0.209667\pi$
$62$	3.07874	+	11.4238i	0.391000	+	1.45082i
$63$	−1.46802	−	5.47871i	−0.184953	−	0.690253i
$64$	−7.99970	+	0.0695668i	−0.999962	+	0.00869585i
$65$	7.47247	−	7.59037i	0.926845	−	0.941470i
$66$	−0.683287	+	0.685270i	−0.0841068	+	0.0843509i
$67$	0.943589	+	3.52152i	0.115278	+	0.430222i	0.999308	−	0.0372082i	$-0.0118465\pi$
$67$	0.943589	+	3.52152i	0.115278	+	0.430222i	−0.884030	+	0.467431i	$0.845180\pi$
$68$	−7.41617	−	4.25311i	−0.899343	−	0.515766i
$69$	0.186483	+	0.322999i	0.0224500	+	0.0388845i
$70$	0.0115027	+	7.93656i	0.00137483	+	0.948601i
$71$	−1.87184	+	6.98581i	−0.222147	+	0.829064i	0.761381	+	0.648305i	$0.224522\pi$
$71$	−1.87184	+	6.98581i	−0.222147	+	0.829064i	−0.983528	+	0.180758i	$0.942145\pi$
$72$	7.29508	−	4.25422i	0.859734	−	0.501364i
$73$	−2.35363	−	2.35363i	−0.275472	−	0.275472i	0.555827	−	0.831298i	$-0.312402\pi$
$73$	−2.35363	−	2.35363i	−0.275472	−	0.275472i	−0.831298	+	0.555827i	$0.812402\pi$
$74$	0.0307085	−	0.115274i	0.00356979	−	0.0134003i
$75$	0.385604	+	0.222629i	0.0445257	+	0.0257069i
$76$	−2.23450	−	8.24362i	−0.256315	−	0.945608i
$77$	−10.8810			−1.24001
$78$	0.309462	+	0.524703i	0.0350397	+	0.0594109i
$79$			4.48211i			0.504277i	0.967691	+	0.252139i	$0.0811339\pi$
$79$			4.48211i			0.504277i	−0.967691	+	0.252139i	$0.918866\pi$
$80$	−11.3961	+	3.12449i	−1.27412	+	0.349328i
$81$	−4.43588	+	7.68316i	−0.492875	+	0.853685i
$82$	−2.66719	+	10.0121i	−0.294542	+	1.10565i
$83$	0.871274	−	0.871274i	0.0956347	−	0.0956347i	−0.657671	−	0.753305i	$-0.728458\pi$
$83$	0.871274	−	0.871274i	0.0956347	−	0.0956347i	0.753305	+	0.657671i	$0.228458\pi$
$84$	−0.438774	−	0.116207i	−0.0478742	−	0.0126792i
$85$	−12.1975	−	3.26832i	−1.32301	−	0.354499i
$86$	6.46875	−	0.00937534i	0.697543	−	0.00101097i
$87$	0.408082	−	0.235606i	0.0437510	−	0.0252596i
$88$	−4.26102	−	15.6302i	−0.454227	−	1.66619i
$89$	−0.761451	+	0.204030i	−0.0807137	+	0.0216272i	−0.298950	−	0.954269i	$-0.596636\pi$
$89$	−0.761451	+	0.204030i	−0.0807137	+	0.0216272i	0.218236	+	0.975896i	$0.429970\pi$
$90$	8.80751	−	8.83308i	0.928393	−	0.931088i
$91$	−1.72093	+	6.62974i	−0.180403	+	0.694986i
$92$	−6.24384	+	0.0180988i	−0.650965	+	0.00188693i
$93$	−0.965407	+	0.258680i	−0.100108	+	0.0268239i
$94$	−2.58009	+	0.695342i	−0.266116	+	0.0717191i
$95$	−6.30793	−	10.9257i	−0.647180	−	1.12095i
$96$	−0.00489727	−	0.675788i	−0.000499826	−	0.0689724i
$97$	11.8738	+	3.18157i	1.20560	+	0.323039i	0.805034	−	0.593229i	$-0.202147\pi$
$97$	11.8738	+	3.18157i	1.20560	+	0.323039i	0.400566	+	0.916268i	$0.368814\pi$
$98$	2.40392	+	4.14981i	0.242833	+	0.419194i
$99$	12.0926	+	12.0926i	1.21536	+	1.21536i
$100$	−6.44459	+	3.74573i	−0.644459	+	0.374573i
$101$	−2.64360	+	4.57885i	−0.263048	+	0.455613i	−0.967050	−	0.254585i	$-0.918061\pi$
$101$	−2.64360	+	4.57885i	−0.263048	+	0.455613i	0.704002	+	0.710198i	$0.251394\pi$
$102$	0.360192	−	0.625965i	0.0356644	−	0.0619798i
$103$	15.1762			1.49535			0.747676	−	0.664064i	$-0.231170\pi$
$103$	15.1762			1.49535			0.747676	+	0.664064i	$0.231170\pi$
$104$	−10.1973	+	0.124161i	−0.999926	+	0.0121750i
$105$	−0.670448			−0.0654290
$106$	−5.40280	+	9.38932i	−0.524766	+	0.911971i
$107$	−3.13866	+	5.43632i	−0.303426	+	0.525549i	−0.976910	−	0.213653i	$-0.931464\pi$
$107$	−3.13866	+	5.43632i	−0.303426	+	0.525549i	0.673484	+	0.739202i	$0.264797\pi$
$108$	0.718683	+	1.23650i	0.0691553	+	0.118983i
$109$	−2.77694	−	2.77694i	−0.265983	−	0.265983i	0.561497	−	0.827479i	$-0.310226\pi$
$109$	−2.77694	−	2.77694i	−0.265983	−	0.265983i	−0.827479	+	0.561497i	$0.810226\pi$
$110$	−11.9948	−	20.7062i	−1.14366	−	1.97426i
$111$	0.00973405	+	0.00260823i	0.000923915	+	0.000247562i
$112$	5.34192	−	5.40422i	0.504764	−	0.510650i
$113$	−4.95084	−	8.57511i	−0.465736	−	0.806678i	0.533499	−	0.845801i	$-0.320877\pi$
$113$	−4.95084	−	8.57511i	−0.465736	−	0.806678i	−0.999234	+	0.0391228i	$0.987544\pi$
$114$	0.696659	−	0.187752i	0.0652481	−	0.0175846i
$115$	−8.90842	+	2.38700i	−0.830714	+	0.222589i
$116$	0.0228663	+	7.88856i	0.00212308	+	0.732435i
$117$	9.28052	−	5.45541i	0.857984	−	0.504352i
$118$	−1.28101	+	1.28473i	−0.117927	+	0.118269i
$119$	7.84373	−	2.10172i	0.719034	−	0.192665i
$120$	−0.262548	−	0.963072i	−0.0239672	−	0.0879161i
$121$	18.8858	−	10.9037i	1.71689	−	0.991247i
$122$	−8.36818	+	0.0121282i	−0.757619	+	0.00109804i
$123$	−0.845454	−	0.226539i	−0.0762320	−	0.0204263i
$124$	4.28371	−	16.1744i	0.384689	−	1.45251i
$125$	2.65909	−	2.65909i	0.237837	−	0.237837i
$126$	−2.06486	+	7.75107i	−0.183952	+	0.690520i
$127$	−4.55719	+	7.89328i	−0.404385	+	0.700416i	−0.994250	−	0.107087i	$-0.965848\pi$
$127$	−4.55719	+	7.89328i	−0.404385	+	0.700416i	0.589865	+	0.807502i	$0.299181\pi$
$128$	9.85484	+	5.55716i	0.871053	+	0.491188i
$129$			0.546453i			0.0481125i
$130$	−14.5132	+	4.03347i	−1.27290	+	0.353759i
$131$	9.19603			0.803461			0.401730	−	0.915758i	$-0.368409\pi$
$131$	9.19603			0.803461			0.401730	+	0.915758i	$0.368409\pi$
$132$	1.32089	−	0.358039i	0.114969	−	0.0311633i
$133$	7.02584	+	4.05637i	0.609218	+	0.351732i
$134$	1.32722	−	4.98211i	0.114654	−	0.430389i
$135$	1.49377	+	1.49377i	0.128563	+	0.128563i
$136$	6.09065	+	10.4442i	0.522269	+	0.895581i
$137$	−2.93822	+	10.9656i	−0.251029	+	0.936852i	0.719228	+	0.694774i	$0.244496\pi$
$137$	−2.93822	+	10.9656i	−0.251029	+	0.936852i	−0.970257	+	0.242078i	$0.922171\pi$
$138$	−0.000764454	−	0.527454i	−6.50747e−5	−	0.0448999i
$139$	1.53429	+	2.65747i	0.130137	+	0.225404i	0.923729	−	0.383046i	$-0.125125\pi$
$139$	1.53429	+	2.65747i	0.130137	+	0.225404i	−0.793592	+	0.608450i	$0.791792\pi$
$140$	5.58380	−	9.73650i	0.471918	−	0.822885i
$141$	−0.0584236	−	0.218040i	−0.00492015	−	0.0183623i
$142$	7.22176	−	7.24272i	0.606036	−	0.607796i
$143$	−5.50105	−	19.9057i	−0.460021	−	1.66459i
$144$	−11.9427	+	0.0692363i	−0.995226	+	0.00576969i
$145$	3.01578	+	11.2550i	0.250447	+	0.934680i
$146$	1.22492	+	4.54510i	0.101375	+	0.376155i
$147$	−0.350852	+	0.202565i	−0.0289378	+	0.0167073i
$148$	−0.118947	+	0.119639i	−0.00977742	+	0.00983427i
$149$	−4.78484	+	17.8573i	−0.391990	+	1.46292i	0.434858	+	0.900499i	$0.356799\pi$
$149$	−4.78484	+	17.8573i	−0.391990	+	1.46292i	−0.826848	+	0.562426i	$0.809868\pi$
$150$	−0.315634	−	0.544870i	−0.0257714	−	0.0444884i
$151$	−16.0837	+	16.0837i	−1.30887	+	1.30887i	−0.386643	+	0.922229i	$0.626365\pi$
$151$	−16.0837	+	16.0837i	−1.30887	+	1.30887i	−0.922229	+	0.386643i	$0.873635\pi$
$152$	−3.07550	+	11.6808i	−0.249456	+	0.947440i
$153$	−11.0529	−	6.38138i	−0.893572	−	0.515904i
$154$	13.3376	+	7.67474i	1.07478	+	0.618448i
$155$		−	24.7146i		−	1.98512i
$156$	−0.00924012	−	0.861437i	−0.000739802	−	0.0689702i
$157$		−	7.07494i		−	0.564641i	−0.959320	−	0.282321i	$-0.908896\pi$
$157$		−	7.07494i		−	0.564641i	0.959320	−	0.282321i	$-0.0911042\pi$
$158$	3.16137	−	5.49403i	0.251505	−	0.437082i
$159$	−0.792507	−	0.457554i	−0.0628499	−	0.0362864i
$160$	16.1727	+	4.20810i	1.27857	+	0.332679i
$161$	4.19366	−	4.19366i	0.330506	−	0.330506i
$162$	10.8565	−	6.28902i	0.852970	−	0.494112i
$163$	1.63996	−	6.12043i	0.128452	−	0.479389i	−0.871487	−	0.490418i	$-0.836844\pi$
$163$	1.63996	−	6.12043i	0.128452	−	0.479389i	0.999939	+	0.0110292i	$0.00351077\pi$
$164$	10.3312	−	10.3913i	0.806733	−	0.811423i
$165$	1.75064	−	1.01073i	0.136287	−	0.0786855i
$166$	−1.68252	+	0.453443i	−0.130589	+	0.0351940i
$167$	4.89526	+	18.2694i	0.378806	+	1.41372i	0.847703	+	0.530472i	$0.177985\pi$
$167$	4.89526	+	18.2694i	0.378806	+	1.41372i	−0.468896	+	0.883253i	$0.655348\pi$
$168$	0.455871	+	0.451924i	0.0351712	+	0.0348667i
$169$	−12.9984	+	0.203502i	−0.999877	+	0.0156540i
$170$	12.6461	+	12.6095i	0.969911	+	0.967104i
$171$	−3.30012	−	12.3162i	−0.252366	−	0.941845i
$172$	−7.93580	−	4.55112i	−0.605099	−	0.347020i
$173$	2.93213	+	5.07860i	0.222926	+	0.386119i	0.955695	−	0.294358i	$-0.0951059\pi$
$173$	2.93213	+	5.07860i	0.222926	+	0.386119i	−0.732769	+	0.680477i	$0.761773\pi$
$174$	−0.666394		0.000965823i	−0.0505192		7.32189e-5i
$175$	1.83250	−	6.83899i	0.138524	−	0.516979i
$176$	−5.80144	+	22.1644i	−0.437300	+	1.67071i
$177$	−0.108372	−	0.108372i	−0.00814571	−	0.00814571i
$178$	1.07727	+	0.286981i	0.0807449	+	0.0215102i
$179$	7.92052	+	4.57292i	0.592008	+	0.341796i	0.765891	−	0.642970i	$-0.222298\pi$
$179$	7.92052	+	4.57292i	0.592008	+	0.341796i	−0.173883	+	0.984766i	$0.555632\pi$
$180$	−17.0262	+	4.61510i	−1.26906	+	0.343989i
$181$	−11.5513			−0.858599			−0.429300	−	0.903162i	$-0.641240\pi$
$181$	−11.5513			−0.858599			−0.429300	+	0.903162i	$0.641240\pi$
$182$	6.78562	−	6.91270i	0.502984	−	0.512404i
$183$		−	0.706909i		−	0.0522562i
$184$	7.66626	+	4.38179i	0.565164	+	0.323030i
$185$	−0.124597	+	0.215808i	−0.00916052	+	0.0158665i
$186$	1.36582	+	0.363850i	0.100147	+	0.0266787i
$187$	−17.3127	+	17.3127i	−1.26603	+	1.26603i
$188$	3.65304	+	0.967488i	0.266425	+	0.0705613i
$189$	−1.31218	−	0.351597i	−0.0954468	−	0.0255749i
$190$	0.0258582	+	17.8415i	0.00187595	+	1.29436i
$191$	18.0500	−	10.4212i	1.30605	−	0.754048i	0.324615	−	0.945846i	$-0.394765\pi$
$191$	18.0500	−	10.4212i	1.30605	−	0.754048i	0.981434	+	0.191798i	$0.0614318\pi$
$192$	−0.470651	+	0.831814i	−0.0339663	+	0.0600310i
$193$	−2.91871	+	0.782065i	−0.210093	+	0.0562943i	−0.362331	−	0.932050i	$-0.618019\pi$
$193$	−2.91871	+	0.782065i	−0.210093	+	0.0562943i	0.152237	+	0.988344i	$0.451352\pi$
$194$	−12.3104	−	12.2748i	−0.883838	−	0.881280i
$195$	−0.338954	−	1.22651i	−0.0242730	−	0.0878321i
$196$	−0.0196595	−	6.78227i	−0.00140425	−	0.484448i
$197$	20.3251	−	5.44609i	1.44810	−	0.388018i	0.552738	−	0.833355i	$-0.313583\pi$
$197$	20.3251	−	5.44609i	1.44810	−	0.388018i	0.895363	+	0.445337i	$0.146916\pi$
$198$	−6.29347	−	23.3521i	−0.447257	−	1.65956i
$199$	−2.68040	−	4.64259i	−0.190009	−	0.329105i	0.755244	−	0.655443i	$-0.227518\pi$
$199$	−2.68040	−	4.64259i	−0.190009	−	0.329105i	−0.945253	+	0.326339i	$0.894185\pi$
$200$	10.5416	−	0.0458348i	0.745401	−	0.00324101i
$201$	0.420705	+	0.112727i	0.0296742	+	0.00795118i
$202$	6.47005	−	3.74800i	0.455231	−	0.263708i
$203$	−5.29833	−	5.29833i	−0.371870	−	0.371870i
$204$	−0.883025	+	0.513233i	−0.0618241	+	0.0359335i
$205$	10.8219	−	18.7440i	0.755833	−	1.30914i
$206$	−18.6025	−	10.7042i	−1.29610	−	0.745798i
$207$	−9.32124			−0.647871
$208$	12.5871	+	7.04027i	0.872757	+	0.488155i
$209$	−24.4607			−1.69198
$210$	0.821814	+	0.472888i	0.0567105	+	0.0326323i
$211$	12.8300	−	22.2223i	0.883256	−	1.52984i	0.0355568	−	0.999368i	$-0.488680\pi$
$211$	12.8300	−	22.2223i	0.883256	−	1.52984i	0.847699	−	0.530477i	$-0.177987\pi$
$212$	13.2452	−	7.69837i	0.909681	−	0.528726i
$213$	0.610950	+	0.610950i	0.0418616	+	0.0418616i
$214$	7.68168	−	4.44988i	0.525109	−	0.304187i
$215$	−13.0522	−	3.49732i	−0.890151	−	0.238515i
$216$	−0.00879417	−	2.02258i	−0.000598368	−	0.137619i
$217$	7.94647	+	13.7637i	0.539441	+	0.934340i
$218$	1.44522	+	5.36255i	0.0978829	+	0.363197i
$219$	−0.384100	+	0.102919i	−0.0259551	+	0.00695464i
$220$	0.0980946	+	33.8414i	0.00661354	+	2.28158i
$221$	7.81037	+	13.2867i	0.525382	+	0.893759i
$222$	−0.0100920	−	0.0100628i	−0.000677332	−	0.000675372i
$223$	−12.6427	+	3.38761i	−0.846621	+	0.226851i	−0.655952	−	0.754803i	$-0.727732\pi$
$223$	−12.6427	+	3.38761i	−0.846621	+	0.226851i	−0.190669	+	0.981654i	$0.561066\pi$
$224$	−10.3597	+	2.85650i	−0.692188	+	0.190858i
$225$	−9.63706	+	5.56396i	−0.642471	+	0.370931i
$226$	0.0202950	+	14.0031i	0.00135001	+	0.931471i
$227$	−26.0325	−	6.97540i	−1.72784	−	0.462973i	−0.748157	−	0.663522i	$-0.769061\pi$
$227$	−26.0325	−	6.97540i	−1.72784	−	0.462973i	−0.979684	+	0.200549i	$0.935728\pi$
$228$	−0.986369	−	0.261235i	−0.0653239	−	0.0173007i
$229$	−0.157142	+	0.157142i	−0.0103842	+	0.0103842i	−0.712280	−	0.701896i	$-0.752337\pi$
$229$	−0.157142	+	0.157142i	−0.0103842	+	0.0103842i	0.701896	+	0.712280i	$0.252337\pi$
$230$	12.6033	+	3.35747i	0.831036	+	0.221385i
$231$	−0.649962	+	1.12577i	−0.0427643	+	0.0740700i
$232$	5.53602	−	9.68568i	0.363457	−	0.635896i
$233$			24.0418i			1.57503i	0.616297	+	0.787514i	$0.288632\pi$
$233$			24.0418i			1.57503i	−0.616297	+	0.787514i	$0.711368\pi$
$234$	−15.2236	+	0.141229i	−0.995200	+	0.00923240i
$235$	5.58185			0.364120
$236$	2.47638	−	0.671245i	0.161199	−	0.0436943i
$237$	0.463725	+	0.267732i	0.0301222	+	0.0173910i
$238$	−11.0970	−	2.95620i	−0.719312	−	0.191622i
$239$	−19.4668	−	19.4668i	−1.25920	−	1.25920i	−0.951474	−	0.307729i	$-0.900431\pi$
$239$	−19.4668	−	19.4668i	−1.25920	−	1.25920i	−0.307729	−	0.951474i	$-0.599569\pi$
$240$	−0.357462	+	1.36569i	−0.0230741	+	0.0881547i
$241$	3.69069	−	13.7738i	0.237738	−	0.887251i	−0.739157	−	0.673533i	$-0.764776\pi$
$241$	3.69069	−	13.7738i	0.237738	−	0.887251i	0.976895	−	0.213718i	$-0.0685573\pi$
$242$	−30.8403	+	0.0446977i	−1.98249	+	0.00287328i
$243$	1.60258	+	2.77576i	0.102806	+	0.178065i
$244$	10.2660	+	5.88747i	0.657213	+	0.376906i
$245$	−2.59284	−	9.67663i	−0.165651	−	0.618217i
$246$	0.876546	+	0.874009i	0.0558865	+	0.0557248i
$247$	−3.86867	+	14.9037i	−0.246158	+	0.948303i
$248$	−16.6592	+	16.8047i	−1.05786	+	1.06710i
$249$	−0.0380989	−	0.142187i	−0.00241442	−	0.00901075i
$250$	−5.13498	+	1.38389i	−0.324764	+	0.0875250i
$251$	1.40119	−	0.808976i	0.0884422	−	0.0510621i	−0.455127	−	0.890427i	$-0.650406\pi$
$251$	1.40119	−	0.808976i	0.0884422	−	0.0510621i	0.543569	+	0.839365i	$0.317073\pi$
$252$	7.99811	−	8.04461i	0.503833	−	0.506763i
$253$	−4.62813	+	17.2724i	−0.290968	+	1.08591i
$254$	11.1534	−	6.46101i	0.699829	−	0.405400i
$255$	−1.06674	+	1.06674i	−0.0668021	+	0.0668021i
$256$	−8.16012	−	13.7627i	−0.510007	−	0.860170i
$257$	9.69476	+	5.59727i	0.604743	+	0.349148i	0.770905	−	0.636950i	$-0.219804\pi$
$257$	9.69476	+	5.59727i	0.604743	+	0.349148i	−0.166162	+	0.986098i	$0.553138\pi$
$258$	0.385430	−	0.669825i	0.0239958	−	0.0417015i
$259$		−	0.160246i		−	0.00995720i
$260$	20.6348	+	5.29253i	1.27972	+	0.328229i
$261$			11.7766i			0.728953i
$262$	−11.2722	−	6.48624i	−0.696399	−	0.400721i
$263$	7.02915	+	4.05828i	0.433436	+	0.250245i	0.700809	−	0.713349i	$-0.252822\pi$
$263$	7.02915	+	4.05828i	0.433436	+	0.250245i	−0.267373	+	0.963593i	$0.586156\pi$
$264$	−1.87165	−	0.492794i	−0.115192	−	0.0303294i
$265$	16.0009	−	16.0009i	0.982927	−	0.982927i
$266$	−5.75097	−	9.92772i	−0.352615	−	0.608707i
$267$	−0.0243748	+	0.0909681i	−0.00149172	+	0.00556716i
$268$	−5.14090	+	5.17079i	−0.314030	+	0.315856i
$269$	−7.47014	+	4.31289i	−0.455462	+	0.262961i	−0.710134	−	0.704066i	$-0.751366\pi$
$269$	−7.47014	+	4.31289i	−0.455462	+	0.262961i	0.254672	+	0.967028i	$0.418033\pi$
$270$	−0.777412	−	2.88461i	−0.0473118	−	0.175552i
$271$	0.638081	+	2.38135i	0.0387607	+	0.144657i	0.982594	−	0.185764i	$-0.0594760\pi$
$271$	0.638081	+	2.38135i	0.0387607	+	0.144657i	−0.943834	+	0.330421i	$0.892809\pi$
$272$	−0.0991239	−	17.0981i	−0.00601027	−	1.03672i
$273$	0.583124	+	0.574066i	0.0352923	+	0.0347441i
$274$	11.3359	−	11.3688i	0.684828	−	0.686816i
$275$	5.52518	+	20.6202i	0.333181	+	1.24345i
$276$	−0.371093	+	0.647076i	−0.0223372	+	0.0389494i
$277$	−7.30805	−	12.6579i	−0.439098	−	0.760540i	0.558522	−	0.829490i	$-0.311369\pi$
$277$	−7.30805	−	12.6579i	−0.439098	−	0.760540i	−0.997620	+	0.0689494i	$0.978035\pi$
$278$	−0.00628954	−	4.33963i	−0.000377222	−	0.260274i
$279$	6.46496	−	24.1276i	0.387047	−	1.44448i
$280$	−13.7119	+	7.99627i	−0.819443	+	0.477868i
$281$	−3.44904	−	3.44904i	−0.205753	−	0.205753i	0.596707	−	0.802459i	$-0.296476\pi$
$281$	−3.44904	−	3.44904i	−0.205753	−	0.205753i	−0.802459	+	0.596707i	$0.796476\pi$
$282$	−0.0821764	+	0.308474i	−0.00489354	+	0.0183694i
$283$	16.0402	+	9.26082i	0.953492	+	0.550499i	0.894164	−	0.447740i	$-0.147771\pi$
$283$	16.0402	+	9.26082i	0.953492	+	0.550499i	0.0593279	+	0.998239i	$0.481104\pi$
$284$	−13.9607	+	3.78417i	−0.828416	+	0.224549i
$285$	−1.50718			−0.0892774
$286$	−7.29706	+	28.2798i	−0.431484	+	1.67222i
$287$			13.9182i			0.821566i
$288$	14.6878	+	8.33870i	0.865489	+	0.491362i
$289$	0.636064	−	1.10170i	0.0374155	−	0.0648056i
$290$	4.24188	−	15.9232i	0.249092	−	0.935042i
$291$	1.03843	−	1.03843i	0.0608738	−	0.0608738i
$292$	1.70433	−	6.43521i	0.0997385	−	0.376592i
$293$	16.3695	+	4.38618i	0.956314	+	0.256244i	0.703039	−	0.711151i	$-0.251826\pi$
$293$	16.3695	+	4.38618i	0.956314	+	0.256244i	0.253275	+	0.967394i	$0.418492\pi$
$294$	0.572939		0.000830376i	0.0334145		4.84285e-5i
$295$	3.28207	−	1.89490i	0.191089	−	0.110326i
$296$	0.230187	−	0.0627524i	0.0133794	−	0.00364741i
$297$	3.95634	−	1.06010i	0.229570	−	0.0615132i
$298$	18.4604	−	18.5140i	1.06938	−	1.07249i
$299$	9.79198	+	5.55167i	0.566285	+	0.321061i
$300$	0.00258129	+	0.890511i	0.000149031	+	0.0514137i
$301$	8.39333	−	2.24899i	0.483783	−	0.129629i
$302$	31.0592	−	8.37056i	1.78726	−	0.481671i
$303$	0.315822	+	0.547020i	0.0181435	+	0.0314255i
$304$	12.0087	−	12.1487i	0.688746	−	0.696778i
$305$	16.8847	+	4.52424i	0.966815	+	0.259057i
$306$	9.04728	+	15.6180i	0.517199	+	0.892824i
$307$	−14.6326	−	14.6326i	−0.835125	−	0.835125i	0.153087	−	0.988213i	$-0.451078\pi$
$307$	−14.6326	−	14.6326i	−0.835125	−	0.835125i	−0.988213	+	0.153087i	$0.951078\pi$
$308$	−10.9356	−	18.8149i	−0.623115	−	1.07208i
$309$	0.906524	−	1.57014i	0.0515703	−	0.0893224i
$310$	−17.4319	+	30.2943i	−0.990068	+	1.72060i
$311$	19.2142			1.08954			0.544768	−	0.838587i	$-0.316618\pi$
$311$	19.2142			1.08954			0.544768	+	0.838587i	$0.316618\pi$
$312$	−0.596272	+	1.06244i	−0.0337573	+	0.0601488i
$313$	−1.56387			−0.0883950			−0.0441975	−	0.999023i	$-0.514073\pi$
$313$	−1.56387			−0.0883950			−0.0441975	+	0.999023i	$0.514073\pi$
$314$	−4.99017	+	8.67223i	−0.281612	+	0.489402i
$315$	8.37796	−	14.5110i	0.472044	−	0.817605i
$316$	−7.75022	+	4.50460i	−0.435984	+	0.253403i
$317$	0.129483	+	0.129483i	0.00727249	+	0.00727249i	0.710734	−	0.703461i	$-0.248363\pi$
$317$	0.129483	+	0.129483i	0.00727249	+	0.00727249i	−0.703461	+	0.710734i	$0.748363\pi$
$318$	0.648703	+	1.11984i	0.0363775	+	0.0627973i
$319$	21.8223	+	5.84726i	1.22181	+	0.327383i
$320$	−16.8559	−	16.5653i	−0.942274	−	0.926027i
$321$	0.374966	+	0.649460i	0.0209286	+	0.0362493i
$322$	−8.09837	+	2.18254i	−0.451304	+	0.121628i
$323$	17.6328	−	4.72470i	0.981116	−	0.262889i
$324$	−17.7434	+	0.0514322i	−0.985746	+	0.00285734i
$325$	13.4376	−	0.105183i	0.745385	−	0.00583450i
$326$	−6.32714	+	6.34551i	−0.350428	+	0.351445i
$327$	−0.453182	+	0.121430i	−0.0250610	+	0.00671507i
$328$	−19.9930	+	5.45038i	−1.10393	+	0.300947i
$329$	−3.10857	+	1.79473i	−0.171381	+	0.0989468i
$330$	−2.85878	+	0.00414331i	−0.157371	+	0.000228082i
$331$	12.4428	+	3.33403i	0.683917	+	0.183255i	0.584016	−	0.811742i	$-0.301481\pi$
$331$	12.4428	+	3.33403i	0.683917	+	0.183255i	0.0999013	+	0.994997i	$0.468147\pi$
$332$	2.38220	+	0.630914i	0.130740	+	0.0346259i
$333$	−0.178089	+	0.178089i	−0.00975923	+	0.00975923i
$334$	6.88549	−	25.8468i	0.376757	−	1.41427i
$335$	−5.38505	+	9.32719i	−0.294217	+	0.509599i
$336$	−0.240036	−	0.875493i	−0.0130950	−	0.0477621i
$337$			13.4906i			0.734881i	0.930047	+	0.367441i	$0.119766\pi$
$337$			13.4906i			0.734881i	−0.930047	+	0.367441i	$0.880234\pi$
$338$	16.0766	+	8.91873i	0.874450	+	0.485115i
$339$	−1.18292			−0.0642475
$340$	−6.60732	−	24.3760i	−0.358332	−	1.32197i
$341$	−41.4989	−	23.9594i	−2.24729	−	1.29747i
$342$	−4.64183	+	17.4245i	−0.251001	+	0.942209i
$343$	13.9583	+	13.9583i	0.753678	+	0.753678i
$344$	6.51741	+	11.1760i	0.351395	+	0.602569i
$345$	−0.285168	+	1.06426i	−0.0153529	+	0.0572978i
$346$	−0.0120197	−	8.29331i	−0.000646184	−	0.445851i
$347$	12.7983	+	22.1673i	0.687049	+	1.19000i	0.972788	+	0.231696i	$0.0744276\pi$
$347$	12.7983	+	22.1673i	0.687049	+	1.19000i	−0.285739	+	0.958307i	$0.592239\pi$
$348$	0.817526	+	0.468845i	0.0438240	+	0.0251327i
$349$	2.09309	+	7.81152i	0.112041	+	0.418141i	0.999048	−	0.0436131i	$-0.0138869\pi$
$349$	2.09309	+	7.81152i	0.112041	+	0.418141i	−0.887008	+	0.461754i	$0.847220\pi$
$350$	−7.06998	+	7.09050i	−0.377906	+	0.379003i
$351$	−0.0201811	−	2.57823i	−0.00107719	−	0.137616i
$352$	22.7445	−	23.0765i	1.21229	−	1.22998i
$353$	−0.526505	−	1.96494i	−0.0280230	−	0.104583i	0.950498	−	0.310731i	$-0.100574\pi$
$353$	−0.526505	−	1.96494i	−0.0280230	−	0.104583i	−0.978521	+	0.206148i	$0.933907\pi$
$354$	0.0564006	+	0.209276i	0.00299766	+	0.0111229i
$355$	−18.5028	+	10.6826i	−0.982026	+	0.566973i
$356$	−1.11807	−	1.11161i	−0.0592575	−	0.0589150i
$357$	0.251086	−	0.937065i	0.0132889	−	0.0495948i
$358$	−6.48331	−	11.1919i	−0.342654	−	0.591512i
$359$	−9.92523	+	9.92523i	−0.523833	+	0.523833i	−0.918727	−	0.394894i	$-0.870781\pi$
$359$	−9.92523	+	9.92523i	−0.523833	+	0.523833i	0.394894	+	0.918727i	$0.370781\pi$
$360$	24.1254	+	6.35208i	1.27152	+	0.334784i
$361$	−0.660296	−	0.381222i	−0.0347524	−	0.0200643i
$362$	14.1592	+	8.14747i	0.744190	+	0.428221i
$363$		−	2.60526i		−	0.136741i
$364$	−13.1933	+	3.68726i	−0.691519	+	0.193265i
$365$		−	9.83302i		−	0.514684i
$366$	−0.498605	+	0.866506i	−0.0260625	+	0.0452930i
$367$	−12.9829	−	7.49570i	−0.677703	−	0.391272i	0.121286	−	0.992618i	$-0.461298\pi$
$367$	−12.9829	−	7.49570i	−0.677703	−	0.391272i	−0.798989	+	0.601345i	$0.794632\pi$
$368$	−6.30645	−	10.7783i	−0.328747	−	0.561858i
$369$	15.4680	−	15.4680i	0.805232	−	0.805232i
$370$	0.304942	−	0.176648i	0.0158532	−	0.00918351i
$371$	−3.76623	+	14.0557i	−0.195533	+	0.729738i
$372$	−1.41754	−	1.40935i	−0.0734963	−	0.0730714i
$373$	−13.3903	+	7.73087i	−0.693322	+	0.400289i	−0.804855	−	0.593471i	$-0.797757\pi$
$373$	−13.3903	+	7.73087i	−0.693322	+	0.400289i	0.111534	+	0.993761i	$0.464424\pi$
$374$	33.4326	−	9.01020i	1.72876	−	0.465906i
$375$	−0.116277	−	0.433950i	−0.00600449	−	0.0224091i
$376$	−3.79538	−	3.76252i	−0.195732	−	0.194037i
$377$	7.01406	−	12.3713i	0.361243	−	0.637157i
$378$	1.36043	+	1.35650i	0.0699731	+	0.0697706i
$379$	−0.572393	−	2.13620i	−0.0294018	−	0.109729i	0.949665	−	0.313266i	$-0.101423\pi$
$379$	−0.572393	−	2.13620i	−0.0294018	−	0.109729i	−0.979067	+	0.203537i	$0.934756\pi$
$380$	12.5525	−	21.8878i	0.643928	−	1.12282i
$381$	0.544433	+	0.942985i	0.0278921	+	0.0483106i
$382$	−29.4754	+	0.0427196i	−1.50809	+	0.00218572i
$383$	0.253448	−	0.945882i	0.0129506	−	0.0483323i	−0.959148	−	0.282904i	$-0.908702\pi$
$383$	0.253448	−	0.945882i	0.0129506	−	0.0483323i	0.972099	+	0.234572i	$0.0753688\pi$
$384$	1.16361	−	0.687646i	0.0593804	−	0.0350913i
$385$	−22.7295	−	22.7295i	−1.15840	−	1.15840i
$386$	4.12927	+	1.10002i	0.210175	+	0.0559897i
$387$	−11.8273	−	6.82851i	−0.601217	−	0.347113i
$388$	6.43195	+	23.7290i	0.326533	+	1.20466i
$389$	3.51480			0.178208			0.0891038	−	0.996022i	$-0.471600\pi$
$389$	3.51480			0.178208			0.0891038	+	0.996022i	$0.471600\pi$
$390$	−0.449616	+	1.74249i	−0.0227672	+	0.0882344i
$391$		−	13.3450i		−	0.674885i
$392$	−4.75965	+	8.32736i	−0.240398	+	0.420595i
$393$	0.549310	−	0.951432i	0.0277090	−	0.0479934i
$394$	−28.7551	−	7.66026i	−1.44866	−	0.385918i
$395$	−9.36270	+	9.36270i	−0.471089	+	0.471089i
$396$	−8.75663	+	33.0632i	−0.440037	+	1.66149i
$397$	−28.1611	−	7.54575i	−1.41337	−	0.378710i	−0.530241	−	0.847847i	$-0.677898\pi$
$397$	−28.1611	−	7.54575i	−1.41337	−	0.378710i	−0.883126	+	0.469137i	$0.844565\pi$
$398$	0.0109878	+	7.58131i	0.000550769	+	0.380017i
$399$	0.839355	−	0.484602i	0.0420203	−	0.0242604i
$400$	−12.9538	−	7.37910i	−0.647692	−	0.368955i
$401$	−8.07154	+	2.16276i	−0.403073	+	0.108003i	−0.454659	−	0.890665i	$-0.650239\pi$
$401$	−8.07154	+	2.16276i	−0.403073	+	0.108003i	0.0515861	+	0.998669i	$0.483572\pi$
$402$	−0.436176	−	0.434914i	−0.0217545	−	0.0216915i
$403$	−21.1617	+	21.4956i	−1.05414	+	1.07077i
$404$	−10.5744	+	0.0306515i	−0.526094	+	0.00152497i
$405$	−25.3155	+	6.78327i	−1.25794	+	0.337063i
$406$	2.75745	+	10.2316i	0.136850	+	0.507786i
$407$	0.241579	+	0.418427i	0.0119746	+	0.0207406i
$408$	1.44438	−	0.00628019i	0.0715076	−	0.000310916i
$409$	−3.07670	−	0.824398i	−0.152133	−	0.0407639i	0.181949	−	0.983308i	$-0.441759\pi$
$409$	−3.07670	−	0.824398i	−0.152133	−	0.0407639i	−0.334082	+	0.942544i	$0.608426\pi$
$410$	−26.4859	+	15.3428i	−1.30804	+	0.757729i
$411$	0.959002	+	0.959002i	0.0473041	+	0.0473041i
$412$	15.2523	+	26.2418i	0.751427	+	1.29284i
$413$	−1.21854	+	2.11056i	−0.0599602	+	0.103854i
$414$	11.4257	+	6.57456i	0.561541	+	0.323122i
$415$	3.64001			0.178681
$416$	−10.4631	−	17.5078i	−0.512997	−	0.858390i
$417$	0.366594			0.0179522
$418$	29.9832	+	17.2529i	1.46653	+	0.843868i
$419$	−10.5630	+	18.2957i	−0.516038	+	0.893804i	0.483789	+	0.875185i	$0.339260\pi$
$419$	−10.5630	+	18.2957i	−0.516038	+	0.893804i	−0.999827	+	0.0186190i	$0.994073\pi$
$420$	−0.673811	−	1.15930i	−0.0328786	−	0.0565681i
$421$	22.8080	+	22.8080i	1.11159	+	1.11159i	0.992935	+	0.118658i	$0.0378591\pi$
$421$	22.8080	+	22.8080i	1.11159	+	1.11159i	0.118658	+	0.992935i	$0.462141\pi$
$422$	−31.4007	+	18.1899i	−1.52856	+	0.885472i
$423$	5.44928	+	1.46013i	0.264953	+	0.0709939i
$424$	−21.6654	+	0.0942012i	−1.05216	+	0.00457482i
$425$	−7.96578	−	13.7971i	−0.386397	−	0.669260i
$426$	−0.317961	−	1.17980i	−0.0154053	−	0.0571617i
$427$	−10.8579	+	2.90936i	−0.525449	+	0.140794i
$428$	−12.5546	+	0.0363915i	−0.606849	+	0.00175905i
$429$	−2.38806	−	0.619886i	−0.115297	−	0.0299284i
$430$	13.5322	+	13.4930i	0.652580	+	0.650691i
$431$	19.4340	−	5.20732i	0.936101	−	0.250828i	0.241647	−	0.970364i	$-0.422312\pi$
$431$	19.4340	−	5.20732i	0.936101	−	0.250828i	0.694454	+	0.719537i	$0.255646\pi$
$432$	−1.41581	+	2.48541i	−0.0681180	+	0.119579i
$433$	19.6101	−	11.3219i	0.942402	−	0.544096i	0.0516897	−	0.998663i	$-0.483539\pi$
$433$	19.6101	−	11.3219i	0.942402	−	0.544096i	0.890713	+	0.454567i	$0.150206\pi$
$434$	−0.0325750	−	22.4760i	−0.00156365	−	1.07888i
$435$	1.34460	+	0.360285i	0.0644688	+	0.0172744i
$436$	2.01086	−	7.59260i	0.0963028	−	0.363620i
$437$	9.42739	−	9.42739i	0.450973	−	0.450973i
$438$	0.543410	+	0.144762i	0.0259651	+	0.00691702i
$439$	13.2654	−	22.9763i	0.633122	−	1.09660i	−0.353788	−	0.935326i	$-0.615106\pi$
$439$	13.2654	−	22.9763i	0.633122	−	1.09660i	0.986910	−	0.161274i	$-0.0515603\pi$
$440$	23.7491	−	41.5509i	1.13219	−	1.98086i
$441$		−	10.1250i		−	0.482145i
$442$	−0.202193	−	21.7953i	−0.00961735	−	1.03670i
$443$	6.75908			0.321134			0.160567	−	0.987025i	$-0.448668\pi$
$443$	6.75908			0.321134			0.160567	+	0.987025i	$0.448668\pi$
$444$	0.00527287	+	0.0194529i	0.000250239	+	0.000923194i
$445$	−2.01680	−	1.16440i	−0.0956054	−	0.0551978i
$446$	17.8865	+	4.76489i	0.846949	+	0.225624i
$447$	1.56172	+	1.56172i	0.0738669	+	0.0738669i
$448$	14.7134	+	3.80562i	0.695142	+	0.179799i
$449$	−7.53276	+	28.1126i	−0.355493	+	1.32672i	0.524370	+	0.851490i	$0.324301\pi$
$449$	−7.53276	+	28.1126i	−0.355493	+	1.32672i	−0.879863	+	0.475227i	$0.842366\pi$
$450$	15.7372	−	0.0228084i	0.741861	−	0.00107520i
$451$	−20.9824	−	36.3426i	−0.988023	−	1.71131i
$452$	9.85193	−	17.1788i	0.463396	−	0.808025i
$453$	0.703306	+	2.62477i	0.0330442	+	0.123323i
$454$	26.9899	+	26.9118i	1.26670	+	1.26303i
$455$	−17.4438	+	10.2540i	−0.817776	+	0.480717i
$456$	1.02480	+	1.01593i	0.0479908	+	0.0475753i
$457$	−4.46465	−	16.6623i	−0.208848	−	0.779430i	−0.988242	−	0.152896i	$-0.951140\pi$
$457$	−4.46465	−	16.6623i	−0.208848	−	0.779430i	0.779395	−	0.626533i	$-0.215527\pi$
$458$	0.303456	−	0.0817825i	0.0141796	−	0.00382144i
$459$	−2.64722	+	1.52837i	−0.123561	+	0.0713382i
$460$	−13.0806	−	13.0050i	−0.609885	−	0.606360i
$461$	7.40872	−	27.6497i	0.345058	−	1.28778i	−0.547485	−	0.836815i	$-0.684415\pi$
$461$	7.40872	−	27.6497i	0.345058	−	1.28778i	0.892544	−	0.450961i	$-0.148919\pi$
$462$	1.59074	−	0.921491i	0.0740080	−	0.0428716i
$463$	8.53804	−	8.53804i	0.396796	−	0.396796i	−0.480305	−	0.877101i	$-0.659474\pi$
$463$	8.53804	−	8.53804i	0.396796	−	0.396796i	0.877101	+	0.480305i	$0.159474\pi$
$464$	−13.6175	+	7.96767i	−0.632176	+	0.369890i
$465$	−2.55700	−	1.47628i	−0.118578	−	0.0684610i
$466$	16.9574	−	29.4696i	0.785536	−	1.36515i
$467$		−	1.47727i		−	0.0683599i	−0.999416	−	0.0341799i	$-0.989118\pi$
$467$		−	1.47727i		−	0.0683599i	0.999416	−	0.0341799i	$-0.0108819\pi$
$468$	18.7603	+	10.5646i	0.867193	+	0.488348i
$469$		−	6.92582i		−	0.319805i
$470$	−6.84206	−	3.93705i	−0.315601	−	0.181603i
$471$	−0.731982	−	0.422610i	−0.0337279	−	0.0194728i
$472$	−3.50892	−	0.923880i	−0.161511	−	0.0425250i
$473$	−18.5258	+	18.5258i	−0.851817	+	0.851817i
$474$	−0.379580	−	0.655257i	−0.0174347	−	0.0300969i
$475$	4.11949	−	15.3741i	0.189015	−	0.705414i
$476$	11.5173	+	11.4507i	0.527893	+	0.524841i
$477$	19.8064	−	11.4353i	0.906874	−	0.523584i
$478$	10.1313	+	37.5923i	0.463393	+	1.71943i
$479$	0.0258024	+	0.0962960i	0.00117894	+	0.00439988i	0.966513	−	0.256618i	$-0.0826084\pi$
$479$	0.0258024	+	0.0962960i	0.00117894	+	0.00439988i	−0.965334	+	0.261018i	$0.915942\pi$
$480$	1.40143	−	1.42189i	0.0639661	−	0.0648999i
$481$	0.293152	−	0.0810144i	0.0133666	−	0.00369394i
$482$	−14.2390	+	14.2804i	−0.648571	+	0.650453i
$483$	−0.183380	−	0.684382i	−0.00834406	−	0.0311405i
$484$	37.8346	+	21.6979i	1.71976	+	0.986266i
$485$	18.1572	+	31.4492i	0.824475	+	1.42803i
$486$	−0.00656949	−	4.53278i	−0.000297998	−	0.205611i
$487$	6.05385	−	22.5933i	0.274326	−	1.02380i	−0.681966	−	0.731384i	$-0.738875\pi$
$487$	6.05385	−	22.5933i	0.274326	−	1.02380i	0.956292	−	0.292414i	$-0.0944586\pi$
$488$	−8.43113	−	14.4576i	−0.381659	−	0.654465i
$489$	−0.535266	−	0.535266i	−0.0242056	−	0.0242056i
$490$	−3.64700	+	13.6901i	−0.164755	+	0.618456i
$491$	−12.4224	−	7.17210i	−0.560617	−	0.323672i	0.192776	−	0.981243i	$-0.438251\pi$
$491$	−12.4224	−	7.17210i	−0.560617	−	0.323672i	−0.753393	+	0.657570i	$0.771584\pi$
$492$	−0.457977	−	1.68959i	−0.0206472	−	0.0761725i
$493$	−16.8603			−0.759348
$494$	15.2542	−	15.5398i	0.686318	−	0.699171i
$495$			50.5208i			2.27074i
$496$	32.2731	−	8.84840i	1.44911	−	0.397305i
$497$	6.86954	−	11.8984i	0.308141	−	0.533716i
$498$	−0.0535885	+	0.201161i	−0.00240136	+	0.00901424i
$499$	29.9556	−	29.9556i	1.34100	−	1.34100i	0.445932	−	0.895067i	$-0.352872\pi$
$499$	29.9556	−	29.9556i	1.34100	−	1.34100i	0.895067	−	0.445932i	$-0.147128\pi$
$500$	7.27039	+	1.92553i	0.325142	+	0.0861122i
$501$	2.18258	+	0.584821i	0.0975105	+	0.0261279i
$502$	−2.28813	+	0.00331625i	−0.102124	+	0.000148011i
$503$	−36.4031	+	21.0173i	−1.62313	+	0.937116i	−0.637057	+	0.770817i	$0.719848\pi$
$503$	−36.4031	+	21.0173i	−1.62313	+	0.937116i	−0.986075	+	0.166299i	$0.946818\pi$
$504$	−15.4779	+	4.21952i	−0.689442	+	0.187952i
$505$	−15.0870	+	4.04255i	−0.671363	+	0.179891i
$506$	17.8558	−	17.9076i	0.793787	−	0.796091i
$507$	−0.755384	+	1.35699i	−0.0335478	+	0.0602659i
$508$	−18.2287	+	0.0528388i	−0.808767	+	0.00234434i
$509$	−29.4691	+	7.89622i	−1.30619	+	0.349994i	−0.843789	−	0.536675i	$-0.819680\pi$
$509$	−29.4691	+	7.89622i	−1.30619	+	0.349994i	−0.462406	+	0.886668i	$0.653014\pi$
$510$	2.05999	−	0.555173i	0.0912178	−	0.0245835i
$511$	3.16161	+	5.47607i	0.139861	+	0.242247i
$512$	0.295142	+	22.6255i	0.0130436	+	0.999915i
$513$	−2.94979	−	0.790394i	−0.130236	−	0.0348967i
$514$	−7.93560	−	13.6990i	−0.350024	−	0.604236i
$515$	31.7015	+	31.7015i	1.39694	+	1.39694i
$516$	−0.944897	+	0.549194i	−0.0415968	+	0.0241769i
$517$	5.41129	−	9.37264i	0.237988	−	0.412208i
$518$	−0.113026	+	0.196424i	−0.00496610	+	0.00863040i
$519$	0.700584			0.0307522
$520$	−21.5605	−	21.0418i	−0.945491	−	0.922743i
$521$	7.97376			0.349337			0.174668	−	0.984627i	$-0.444115\pi$
$521$	7.97376			0.349337			0.174668	+	0.984627i	$0.444115\pi$
$522$	8.30640	−	14.4354i	0.363561	−	0.631820i
$523$	−4.99132	+	8.64522i	−0.218255	+	0.378029i	−0.954275	−	0.298931i	$-0.903370\pi$
$523$	−4.99132	+	8.64522i	−0.218255	+	0.378029i	0.736019	+	0.676960i	$0.236703\pi$
$524$	9.24216	+	15.9013i	0.403746	+	0.694650i
$525$	−0.598109	−	0.598109i	−0.0261036	−	0.0261036i
$526$	−5.75368	−	9.93240i	−0.250872	−	0.433073i
$527$	34.5428	+	9.25572i	1.50471	+	0.403186i
$528$	1.94662	+	1.92418i	0.0847158	+	0.0837392i
$529$	6.62677	+	11.4779i	0.288121	+	0.499039i
$530$	−30.8993	+	8.32746i	−1.34218	+	0.361722i
$531$	3.69979	−	0.991357i	0.160557	−	0.0430212i
$532$	0.0470320	+	16.2254i	0.00203910	+	0.703461i
$533$	−25.4618	+	7.03653i	−1.10287	+	0.304786i
$534$	0.0940405	−	0.0943135i	0.00406953	−	0.00408134i
$535$	−17.9123	+	4.79959i	−0.774417	+	0.207504i
$536$	9.94867	−	2.71215i	0.429717	−	0.117147i
$537$	0.946239	−	0.546312i	0.0408332	−	0.0235751i
$538$	12.1987	−	0.0176799i	0.525922	−	0.000762233i
$539$	−18.7619	−	5.02723i	−0.808132	−	0.216538i
$540$	−1.08168	+	4.08420i	−0.0465480	+	0.175756i
$541$	9.11401	−	9.11401i	0.391842	−	0.391842i	−0.483502	−	0.875343i	$-0.660635\pi$
$541$	9.11401	−	9.11401i	0.391842	−	0.391842i	0.875343	+	0.483502i	$0.160635\pi$
$542$	0.897501	−	3.36904i	0.0385510	−	0.144713i
$543$	−0.689996	+	1.19511i	−0.0296106	+	0.0512870i
$544$	−11.9383	+	21.0282i	−0.511850	+	0.901577i
$545$		−	11.6015i		−	0.496954i
$546$	−0.309869	−	1.11497i	−0.0132611	−	0.0477162i
$547$	4.62739			0.197853			0.0989264	−	0.995095i	$-0.468459\pi$
$547$	4.62739			0.197853			0.0989264	+	0.995095i	$0.468459\pi$
$548$	−21.9140	+	5.93998i	−0.936120	+	0.253743i
$549$	15.3002	+	8.83357i	0.652997	+	0.377008i
$550$	7.77151	−	29.1727i	0.331378	−	1.24393i
$551$	−11.9107	−	11.9107i	−0.507414	−	0.507414i
$552$	0.911277	−	0.531422i	0.0387865	−	0.0226188i
$553$	2.20376	−	8.22453i	0.0937133	−	0.349743i
$554$	0.0299580	+	20.6703i	0.00127279	+	0.878195i
$555$	0.0148851	+	0.0257818i	0.000631839	+	0.00109438i
$556$	−3.05317	+	5.32382i	−0.129483	+	0.225780i
$557$	3.05265	+	11.3926i	0.129345	+	0.482721i	0.999957	−	0.00924808i	$-0.00294380\pi$
$557$	3.05265	+	11.3926i	0.129345	+	0.482721i	−0.870612	+	0.491970i	$0.836277\pi$
$558$	−24.9425	+	25.0149i	−1.05590	+	1.05896i
$559$	8.35762	+	14.2176i	0.353490	+	0.601343i
$560$	22.4476	−	0.130137i	0.948586	−	0.00549930i
$561$	0.757049	+	2.82535i	0.0319626	+	0.119286i
$562$	1.79501	+	6.66045i	0.0757180	+	0.280954i
$563$	32.8669	−	18.9757i	1.38517	−	0.799730i	0.392407	−	0.919792i	$-0.371643\pi$
$563$	32.8669	−	18.9757i	1.38517	−	0.799730i	0.992766	+	0.120062i	$0.0383093\pi$
$564$	0.318306	−	0.320156i	0.0134031	−	0.0134810i
$565$	7.57074	−	28.2544i	0.318504	−	1.18867i
$566$	−13.1296	−	22.6653i	−0.551880	−	0.952693i
$567$	11.9173	−	11.9173i	0.500481	−	0.500481i
$568$	19.7817	+	5.20841i	0.830022	+	0.218540i
$569$	0.0489692	+	0.0282724i	0.00205290	+	0.00118524i	0.501026	−	0.865432i	$-0.332956\pi$
$569$	0.0489692	+	0.0282724i	0.00205290	+	0.00118524i	−0.498973	+	0.866617i	$0.666289\pi$
$570$	1.84745	+	1.06306i	0.0773811	+	0.0445266i
$571$		−	7.98125i		−	0.334005i	−0.985956	−	0.167002i	$-0.946591\pi$
$571$		−	7.98125i		−	0.334005i	0.985956	−	0.167002i	$-0.0534088\pi$
$572$	28.8911	−	29.5176i	1.20800	−	1.23419i
$573$		−	2.48996i		−	0.104020i
$574$	9.81695	−	17.0605i	0.409752	−	0.712092i
$575$	−10.0767	−	5.81778i	−0.420227	−	0.242618i
$576$	−12.1223	−	20.5811i	−0.505097	−	0.857546i
$577$	−31.6179	+	31.6179i	−1.31627	+	1.31627i	−0.399564	+	0.916705i	$0.630839\pi$
$577$	−31.6179	+	31.6179i	−1.31627	+	1.31627i	−0.916705	+	0.399564i	$0.869161\pi$
$578$	−1.55673	+	0.901788i	−0.0647513	+	0.0375094i
$579$	−0.0934308	+	0.348688i	−0.00388285	+	0.0144910i
$580$	−16.4307	+	16.5262i	−0.682247	+	0.686214i
$581$	−2.02714	+	1.17037i	−0.0841001	+	0.0485552i
$582$	−2.00531	+	0.540438i	−0.0831228	+	0.0224019i
$583$	−11.3555	−	42.3795i	−0.470299	−	1.75518i
$584$	−6.62807	+	6.68596i	−0.274271	+	0.276667i
$585$	30.7819	+	7.99029i	1.27268	+	0.330358i
$586$	−16.9715	−	16.9223i	−0.701084	−	0.699055i
$587$	−5.85120	−	21.8370i	−0.241505	−	0.901308i	−0.975108	−	0.221730i	$-0.928830\pi$
$587$	−5.85120	−	21.8370i	−0.241505	−	0.901308i	0.733603	−	0.679578i	$-0.237837\pi$
$588$	−0.702876	−	0.403094i	−0.0289861	−	0.0166233i
$589$	17.8638	+	30.9409i	0.736063	+	1.27490i
$590$	−5.35959	+	0.00776780i	−0.220651	+	0.000319795i
$591$	0.650626	−	2.42817i	0.0267632	−	0.0998816i
$592$	−0.326417	−	0.0854382i	−0.0134157	−	0.00351149i
$593$	22.6590	+	22.6590i	0.930492	+	0.930492i	0.997737	−	0.0672444i	$-0.0214207\pi$
$593$	22.6590	+	22.6590i	0.930492	+	0.930492i	−0.0672444	+	0.997737i	$0.521421\pi$
$594$	−5.59728	−	1.49110i	−0.229659	−	0.0611804i
$595$	20.7751	+	11.9945i	0.851696	+	0.491727i
$596$	−35.6867	+	9.67317i	−1.46178	+	0.396228i
$597$	−0.640438			−0.0262114
$598$	−8.08694	−	13.7116i	−0.330700	−	0.560711i
$599$		−	35.5478i		−	1.45244i	−0.687461	−	0.726221i	$-0.741275\pi$
$599$		−	35.5478i		−	1.45244i	0.687461	−	0.726221i	$-0.258725\pi$
$600$	0.624941	−	1.09338i	0.0255131	−	0.0446371i
$601$	−19.3542	+	33.5225i	−0.789476	+	1.36741i	0.136813	+	0.990597i	$0.456314\pi$
$601$	−19.3542	+	33.5225i	−0.789476	+	1.36741i	−0.926288	+	0.376815i	$0.877019\pi$
$602$	−11.8746	−	3.16334i	−0.483971	−	0.128928i
$603$	−7.69701	+	7.69701i	−0.313446	+	0.313446i
$604$	−43.9754	−	11.6467i	−1.78933	−	0.473896i
$605$	62.2274	+	16.6738i	2.52990	+	0.677886i
$606$	−0.00129465	−	0.893279i	−5.25917e−5	−	0.0362870i
$607$	−24.5142	+	14.1533i	−0.994999	+	0.574463i	−0.906765	−	0.421637i	$-0.861456\pi$
$607$	−24.5142	+	14.1533i	−0.994999	+	0.574463i	−0.0882341	+	0.996100i	$0.528122\pi$
$608$	−23.2888	+	6.42144i	−0.944484	+	0.260424i
$609$	−0.864659	+	0.231685i	−0.0350378	+	0.00938834i
$610$	−17.5056	−	17.4550i	−0.708783	−	0.706731i
$611$	−4.85484	−	4.77942i	−0.196406	−	0.193355i
$612$	−0.0739895	−	25.5254i	−0.00299085	−	1.03180i
$613$	15.9165	−	4.26482i	0.642863	−	0.172255i	0.0773631	−	0.997003i	$-0.475350\pi$
$613$	15.9165	−	4.26482i	0.642863	−	0.172255i	0.565500	+	0.824748i	$0.308683\pi$
$614$	7.61534	+	28.2570i	0.307330	+	1.14036i
$615$	−1.29285	−	2.23929i	−0.0521329	−	0.0902969i
$616$	0.133814	+	30.7760i	0.00539152	+	1.24000i
$617$	24.3342	+	6.52032i	0.979656	+	0.262498i	0.712900	−	0.701266i	$-0.247381\pi$
$617$	24.3342	+	6.52032i	0.979656	+	0.262498i	0.266756	+	0.963764i	$0.414048\pi$
$618$	−2.21866	+	1.28523i	−0.0892476	+	0.0516997i
$619$	8.60779	+	8.60779i	0.345976	+	0.345976i	0.858608	−	0.512632i	$-0.171329\pi$
$619$	8.60779	+	8.60779i	0.345976	+	0.345976i	−0.512632	+	0.858608i	$0.671329\pi$
$620$	42.7351	−	24.8385i	1.71628	−	0.997540i
$621$	−1.11624	+	1.93338i	−0.0447931	+	0.0775840i
$622$	−23.5521	−	13.5523i	−0.944354	−	0.543400i
$623$	1.49756			0.0599983
$624$	1.48026	−	0.881736i	0.0592580	−	0.0352977i
$625$	29.7444			1.18978
$626$	1.91694	+	1.10304i	0.0766163	+	0.0440865i
$627$	−1.46112	+	2.53074i	−0.0583516	+	0.101068i
$628$	12.2336	−	7.11043i	0.488173	−	0.283737i
$629$	−0.254966	−	0.254966i	−0.0101662	−	0.0101662i
$630$	−20.5045	+	11.8780i	−0.816920	+	0.473229i
$631$	−46.9973	−	12.5929i	−1.87093	−	0.501315i	−0.999950	−	0.0100000i	$-0.996817\pi$
$631$	−46.9973	−	12.5929i	−1.87093	−	0.501315i	−0.870982	−	0.491315i	$-0.836516\pi$
$632$	12.6772	−	0.0551206i	0.504272	−	0.00219258i
$633$	−1.53276	−	2.65482i	−0.0609219	−	0.105520i
$634$	−0.0673878	−	0.250044i	−0.00267631	−	0.00993053i
$635$	−26.0078	+	6.96878i	−1.03209	+	0.276548i
$636$	−0.00530516	−	1.83021i	−0.000210363	−	0.0725725i
$637$	−6.03041	+	10.6364i	−0.238934	+	0.421429i
$638$	−22.6248	−	22.5593i	−0.895724	−	0.893131i
$639$	−20.8577	+	5.58881i	−0.825119	+	0.221090i
$640$	8.97745	+	32.1942i	0.354865	+	1.27259i
$641$	2.37058	−	1.36865i	0.0936322	−	0.0540586i	−0.452453	−	0.891788i	$-0.649451\pi$
$641$	2.37058	−	1.36865i	0.0936322	−	0.0540586i	0.546085	+	0.837730i	$0.316118\pi$
$642$	−0.00153710	−	1.06056i	−6.06646e−5	−	0.0418571i
$643$	4.87893	+	1.30730i	0.192406	+	0.0515550i	0.353735	−	0.935346i	$-0.384911\pi$
$643$	4.87893	+	1.30730i	0.192406	+	0.0515550i	−0.161329	+	0.986901i	$0.551578\pi$
$644$	11.4661	+	3.03675i	0.451829	+	0.119665i
$645$	−1.14149	+	1.14149i	−0.0449461	+	0.0449461i
$646$	−24.9462	−	6.64558i	−0.981496	−	0.261467i
$647$	−9.09928	+	15.7604i	−0.357730	+	0.619606i	−0.987581	−	0.157109i	$-0.949782\pi$
$647$	−9.09928	+	15.7604i	−0.357730	+	0.619606i	0.629851	+	0.776716i	$0.283116\pi$
$648$	21.7856	+	12.4519i	0.855820	+	0.489159i
$649$		−	7.34801i		−	0.288435i
$650$	−16.5456	−	9.34904i	−0.648972	−	0.366699i
$651$	1.89868			0.0744150
$652$	12.2313	−	3.31539i	0.479014	−	0.129841i
$653$	−23.1046	−	13.3394i	−0.904151	−	0.522012i	−0.0256065	−	0.999672i	$-0.508152\pi$
$653$	−23.1046	−	13.3394i	−0.904151	−	0.522012i	−0.878545	+	0.477660i	$0.841485\pi$
$654$	0.641144	+	0.170798i	0.0250707	+	0.00667874i
$655$	19.2096	+	19.2096i	0.750582	+	0.750582i
$656$	28.3511	+	7.42076i	1.10692	+	0.289732i
$657$	2.57217	−	9.59948i	0.100350	−	0.374511i
$658$	5.07626	−	0.00735716i	0.197893	−	0.000286812i
$659$	−5.86022	−	10.1502i	−0.228282	−	0.395396i	0.729017	−	0.684495i	$-0.239977\pi$
$659$	−5.86022	−	10.1502i	−0.228282	−	0.395396i	−0.957299	+	0.289100i	$0.906644\pi$
$660$	3.50713	+	2.01131i	0.136515	+	0.0782901i
$661$	−4.42914	−	16.5298i	−0.172273	−	0.642933i	−0.997000	−	0.0774016i	$-0.975338\pi$
$661$	−4.42914	−	16.5298i	−0.172273	−	0.642933i	0.824727	−	0.565532i	$-0.191329\pi$
$662$	−12.9004	−	12.8630i	−0.501387	−	0.499936i
$663$	1.84120	−	0.0144120i	0.0715061	−	0.000559714i
$664$	−2.47503	−	2.45360i	−0.0960496	−	0.0952180i
$665$	6.20294	+	23.1497i	0.240540	+	0.897706i
$666$	0.343908	−	0.0926844i	0.0133262	−	0.00359145i
$667$	−10.6641	+	6.15691i	−0.412915	+	0.238397i
$668$	−26.6705	+	26.8256i	−1.03191	+	1.03791i
$669$	−0.404707	+	1.51039i	−0.0156469	+	0.0583950i
$670$	13.1796	−	7.63473i	0.509172	−	0.294955i
$671$	23.9656	−	23.9656i	0.925180	−	0.925180i
$672$	−0.323284	+	1.24246i	−0.0124709	+	0.0479288i
$673$	−22.5318	−	13.0088i	−0.868538	−	0.501451i	−0.00167601	−	0.999999i	$-0.500533\pi$
$673$	−22.5318	−	13.0088i	−0.868538	−	0.501451i	−0.866862	+	0.498548i	$0.833867\pi$
$674$	9.51536	−	16.5364i	0.366518	−	0.636958i
$675$			2.66519i			0.102583i
$676$	−13.4155	−	22.2716i	−0.515981	−	0.856600i
$677$		−	15.2979i		−	0.587945i	−0.955814	−	0.293972i	$-0.905023\pi$
$677$		−	15.2979i		−	0.587945i	0.955814	−	0.293972i	$-0.0949774\pi$
$678$	1.44999	+	0.834351i	0.0556865	+	0.0320431i
$679$	−20.2237	−	11.6762i	−0.776114	−	0.448090i
$680$	−9.09411	+	34.5397i	−0.348743	+	1.32454i
$681$	−2.27669	+	2.27669i	−0.0872431	+	0.0872431i
$682$	33.9687	+	58.6391i	1.30073	+	2.24541i
$683$	−0.214029	+	0.798768i	−0.00818960	+	0.0305640i	−0.969900	−	0.243505i	$-0.921703\pi$
$683$	−0.214029	+	0.798768i	−0.00818960	+	0.0305640i	0.961710	+	0.274069i	$0.0883696\pi$
$684$	17.9798	−	18.0844i	0.687477	−	0.691474i
$685$	−29.0437	+	16.7684i	−1.10970	+	0.640686i
$686$	−7.26443	−	26.9549i	−0.277357	−	1.02914i
$687$	0.00687147	+	0.0256447i	0.000262163	+	0.000978406i
$688$	−0.106069	−	18.2961i	−0.00404385	−	0.697532i
$689$	−27.6175	+	0.216176i	−1.05214	+	0.00823564i
$690$	1.10020	−	1.10340i	0.0418841	−	0.0420057i
$691$	7.77196	+	29.0054i	0.295659	+	1.10342i	0.940692	+	0.339261i	$0.110177\pi$
$691$	7.77196	+	29.0054i	0.295659	+	1.10342i	−0.645033	+	0.764155i	$0.723156\pi$
$692$	−5.83480	+	10.1742i	−0.221806	+	0.386763i
$693$	−16.2439	−	28.1353i	−0.617056	−	1.06877i
$694$	−0.0524642	−	36.1990i	−0.00199152	−	1.37410i
$695$	−2.34621	+	8.75619i	−0.0889970	+	0.332141i
$696$	−0.671407	−	1.15132i	−0.0254496	−	0.0436407i
$697$	22.1452	+	22.1452i	0.838807	+	0.838807i
$698$	2.94406	−	11.0514i	0.111434	−	0.418303i
$699$	2.48739	+	1.43610i	0.0940817	+	0.0543181i
$700$	13.6673	−	3.70464i	0.516576	−	0.140022i
$701$	28.6732			1.08297			0.541486	−	0.840710i	$-0.317862\pi$
$701$	28.6732			1.08297			0.541486	+	0.840710i	$0.317862\pi$
$702$	−1.79377	+	3.17455i	−0.0677015	+	0.119816i
$703$		−	0.360235i		−	0.0135865i
$704$	−44.1561	+	12.2441i	−1.66419	+	0.461467i
$705$	0.333423	−	0.577505i	0.0125574	−	0.0217501i
$706$	−0.740562	+	2.77993i	−0.0278714	+	0.104624i
$707$	7.10224	−	7.10224i	0.267107	−	0.267107i
$708$	0.0784750	−	0.296305i	0.00294927	−	0.0111358i
$709$	−5.49446	−	1.47224i	−0.206349	−	0.0552910i	0.154164	−	0.988045i	$-0.450732\pi$
$709$	−5.49446	−	1.47224i	−0.206349	−	0.0552910i	−0.360513	+	0.932754i	$0.617398\pi$
$710$	30.2149	−	0.0437913i	1.13395	−	0.00164346i
$711$	−11.5895	+	6.69119i	−0.434639	+	0.250939i
$712$	0.586443	+	2.15118i	0.0219779	+	0.0806189i
$713$	25.2282	−	6.75988i	0.944804	−	0.253160i
$714$	−0.968715	+	0.971527i	−0.0362532	+	0.0363585i
$715$	30.0898	−	53.0722i	1.12530	−	1.98479i
$716$	0.0530211	+	18.2916i	0.00198149	+	0.683589i
$717$	−3.17688	+	0.851242i	−0.118643	+	0.0317902i
$718$	19.1666	−	5.16546i	0.715291	−	0.192773i
$719$	22.7206	+	39.3533i	0.847337	+	1.46763i	0.883576	+	0.468287i	$0.155129\pi$
$719$	22.7206	+	39.3533i	0.847337	+	1.46763i	−0.0362397	+	0.999343i	$0.511538\pi$
$720$	−25.0918	−	24.8025i	−0.935116	−	0.924336i
$721$	−27.8478	−	7.46179i	−1.03710	−	0.277891i
$722$	0.540482	+	0.933017i	0.0201147	+	0.0347233i
$723$	−1.20460	−	1.20460i	−0.0447996	−	0.0447996i
$724$	−11.6092	−	19.9738i	−0.431453	−	0.742321i
$725$	−7.35027	+	12.7310i	−0.272982	+	0.472819i
$726$	−1.83757	+	3.19345i	−0.0681987	+	0.118520i
$727$	21.0650			0.781256			0.390628	−	0.920549i	$-0.372258\pi$
$727$	21.0650			0.781256			0.390628	+	0.920549i	$0.372258\pi$
$728$	18.7727	+	4.78595i	0.695764	+	0.177379i
$729$	−26.2323			−0.971568
$730$	−6.93553	+	12.0530i	−0.256696	+	0.446102i
$731$	9.77621	−	16.9329i	0.361586	−	0.626286i
$732$	1.22235	−	0.710455i	0.0451793	−	0.0262592i
$733$	22.0025	+	22.0025i	0.812682	+	0.812682i	0.985035	−	0.172353i	$-0.0551370\pi$
$733$	22.0025	+	22.0025i	0.812682	+	0.812682i	−0.172353	+	0.985035i	$0.555137\pi$
$734$	10.6271	+	18.3453i	0.392254	+	0.677136i
$735$	−1.15604	−	0.309759i	−0.0426410	−	0.0114256i
$736$	0.127977	+	17.6598i	0.00471728	+	0.650951i
$737$	10.4410	+	18.0844i	0.384600	+	0.666146i
$738$	−29.8703	+	8.05013i	−1.09954	+	0.296329i
$739$	48.4788	−	12.9899i	1.78332	−	0.477840i	0.792139	−	0.610341i	$-0.208967\pi$
$739$	48.4788	−	12.9899i	1.78332	−	0.477840i	0.991183	+	0.132501i	$0.0423007\pi$
$740$	−0.498384	+	0.00144465i	−0.0183210	+	5.31063e-5i
$741$	1.31087	+	1.29051i	0.0481560	+	0.0474080i
$742$	14.5305	−	14.5727i	0.533430	−	0.534979i
$743$	14.6170	−	3.91663i	0.536247	−	0.143687i	0.0194758	−	0.999810i	$-0.493800\pi$
$743$	14.6170	−	3.91663i	0.536247	−	0.143687i	0.516772	+	0.856123i	$0.327134\pi$
$744$	0.743523	+	2.72738i	0.0272589	+	0.0999904i
$745$	−47.2972	+	27.3071i	−1.73284	+	1.00045i
$746$	21.8662	−	0.0316913i	0.800578	−	0.00116030i
$747$	3.55356	+	0.952173i	0.130018	+	0.0348382i
$748$	−47.3358	−	12.5366i	−1.73077	−	0.458385i
$749$	8.43226	−	8.43226i	0.308108	−	0.308108i
$750$	−0.163550	+	0.613936i	−0.00597201	+	0.0224178i
$751$	−8.03320	+	13.9139i	−0.293136	+	0.507726i	−0.974549	−	0.224173i	$-0.928032\pi$
$751$	−8.03320	+	13.9139i	−0.293136	+	0.507726i	0.681414	+	0.731898i	$0.261365\pi$
$752$	1.99844	+	7.28897i	0.0728754	+	0.265801i
$753$		−	0.193292i		−	0.00704393i
$754$	−17.3235	+	10.2172i	−0.630885	+	0.372087i
$755$	−67.1946			−2.44546
$756$	−0.710798	−	2.62230i	−0.0258515	−	0.0953723i
$757$	23.8711	+	13.7820i	0.867609	+	0.500914i	0.866553	−	0.499085i	$-0.166331\pi$
$757$	23.8711	+	13.7820i	0.867609	+	0.500914i	0.00105597	+	0.999999i	$0.499664\pi$
$758$	−0.805106	+	3.02221i	−0.0292428	+	0.109772i
$759$	1.51057	+	1.51057i	0.0548303	+	0.0548303i
$760$	−30.8245	+	17.9757i	−1.11812	+	0.652048i
$761$	8.71969	−	32.5423i	0.316089	−	1.17966i	−0.606883	−	0.794791i	$-0.707580\pi$
$761$	8.71969	−	32.5423i	0.316089	−	1.17966i	0.922972	−	0.384868i	$-0.125753\pi$
$762$	−0.00223180	−	1.53989i	−8.08496e−5	−	0.0557842i
$763$	3.73023	+	6.46095i	0.135043	+	0.233902i
$764$	36.1602	+	20.7376i	1.30823	+	0.750259i
$765$	−9.75831	−	36.4185i	−0.352812	−	1.31671i
$766$	−0.977828	+	0.980667i	−0.0353304	+	0.0354329i
$767$	−4.47709	−	1.16215i	−0.161658	−	0.0419628i
$768$	−1.91134	+	0.0221622i	−0.0689695	+	0.000799711i
$769$	−9.16888	−	34.2187i	−0.330638	−	1.23396i	−0.908521	−	0.417839i	$-0.862788\pi$
$769$	−9.16888	−	34.2187i	−0.330638	−	1.23396i	0.577883	−	0.816120i	$-0.303879\pi$
$770$	11.8293	+	43.8928i	0.426297	+	1.58179i
$771$	1.15820	−	0.668688i	0.0417116	−	0.0240822i
$772$	−4.28565	−	4.26088i	−0.154244	−	0.153352i
$773$	−0.801104	+	2.98976i	−0.0288137	+	0.107534i	−0.978835	−	0.204651i	$-0.934394\pi$
$773$	−0.801104	+	2.98976i	−0.0288137	+	0.107534i	0.950021	+	0.312185i	$0.101061\pi$
$774$	9.68121	+	16.7124i	0.347984	+	0.600713i
$775$	22.0480	−	22.0480i	0.791986	−	0.791986i
$776$	8.85273	−	33.6229i	0.317794	−	1.20699i
$777$	−0.0165793	−	0.00957204i	−0.000594777	−	0.000343395i
$778$	−4.30833	−	2.47910i	−0.154461	−	0.0888800i
$779$			31.2883i			1.12102i
$780$	1.78016	−	1.81876i	0.0637399	−	0.0651221i
$781$			41.4247i			1.48229i
$782$	−9.41263	+	16.3579i	−0.336595	+	0.584956i
$783$	2.44267	+	1.41027i	0.0872938	+	0.0503991i
$784$	11.7078	−	6.85028i	0.418134	−	0.244653i
$785$	14.7789	−	14.7789i	0.527480	−	0.527480i
$786$	−1.34440	+	0.778790i	−0.0479532	+	0.0277785i
$787$	6.65435	−	24.8344i	0.237202	−	0.885250i	−0.739942	−	0.672671i	$-0.765147\pi$
$787$	6.65435	−	24.8344i	0.237202	−	0.885250i	0.977144	−	0.212579i	$-0.0681863\pi$
$788$	29.8441	+	29.6716i	1.06315	+	1.05701i
$789$	0.839750	−	0.484830i	0.0298959	−	0.0172604i
$790$	18.0803	−	4.87270i	0.643269	−	0.173363i
$791$	4.86844	+	18.1693i	0.173102	+	0.646025i
$792$	34.0541	−	34.3516i	1.21006	−	1.22063i
$793$	−10.8117	−	18.3924i	−0.383934	−	0.653133i
$794$	29.1968	+	29.1123i	1.03615	+	1.03316i
$795$	−0.699685	−	2.61126i	−0.0248153	−	0.0926118i
$796$	5.33387	−	9.30068i	0.189054	−	0.329654i
$797$	−18.1005	−	31.3510i	−0.641152	−	1.11051i	−0.985176	−	0.171547i	$-0.945123\pi$
$797$	−18.1005	−	31.3510i	−0.641152	−	1.11051i	0.344024	−	0.938961i	$-0.388210\pi$
$798$	−1.37066	+	0.00198653i	−0.0485208	+	7.03225e-5i
$799$	−2.09043	+	7.80159i	−0.0739541	+	0.276001i
$800$	10.6737	+	18.1818i	0.377372	+	0.642824i
$801$	−1.66431	−	1.66431i	−0.0588054	−	0.0588054i
$802$	11.4193	+	3.04206i	0.403229	+	0.107419i
$803$	−16.5109	−	9.53256i	−0.582656	−	0.336397i
$804$	0.227893	+	0.840752i	0.00803717	+	0.0296511i
$805$	17.5203			0.617509
$806$	41.1008	−	11.4226i	1.44771	−	0.402344i
$807$			1.03049i			0.0362751i
$808$	12.9833	+	7.42085i	0.456752	+	0.261065i
$809$	7.49504	−	12.9818i	0.263512	−	0.456415i	−0.703661	−	0.710536i	$-0.748453\pi$
$809$	7.49504	−	12.9818i	0.263512	−	0.456415i	0.967173	+	0.254120i	$0.0817859\pi$
$810$	35.8154	+	9.54109i	1.25842	+	0.335240i
$811$	−22.2096	+	22.2096i	−0.779883	+	0.779883i	−0.979811	−	0.199928i	$-0.935929\pi$
$811$	−22.2096	+	22.2096i	−0.779883	+	0.779883i	0.199928	+	0.979811i	$0.435929\pi$
$812$	3.83667	−	14.4865i	0.134641	−	0.508376i
$813$	0.284492	+	0.0762295i	0.00997758	+	0.00267348i
$814$	−0.000990307	−	0.683287i	−3.47102e−5	−	0.0239492i
$815$	16.2107	−	9.35926i	0.567836	−	0.327840i
$816$	−1.77491	−	1.01107i	−0.0621343	−	0.0353945i
$817$	18.8683	−	5.05575i	0.660119	−	0.176878i
$818$	3.18984	+	3.18061i	0.111530	+	0.111207i
$819$	−19.7117	+	5.44746i	−0.688784	+	0.190350i
$820$	43.2873	−	0.125475i	1.51166	−	0.00438179i
$821$	−17.6660	+	4.73358i	−0.616547	+	0.165203i	−0.553557	−	0.832811i	$-0.686730\pi$
$821$	−17.6660	+	4.73358i	−0.616547	+	0.165203i	−0.0629893	+	0.998014i	$0.520063\pi$
$822$	−0.499100	−	1.85193i	−0.0174081	−	0.0645934i
$823$	−12.2951	−	21.2957i	−0.428580	−	0.742323i	0.568167	−	0.822913i	$-0.307653\pi$
$823$	−12.2951	−	21.2957i	−0.428580	−	0.742323i	−0.996747	+	0.0805905i	$0.974319\pi$
$824$	−0.186635	−	42.9243i	−0.00650174	−	1.49534i
$825$	2.46343	+	0.660075i	0.0857657	+	0.0229809i
$826$	2.98229	−	1.72759i	0.103767	−	0.0601106i
$827$	−35.8846	−	35.8846i	−1.24783	−	1.24783i	−0.956677	−	0.291152i	$-0.905961\pi$
$827$	−35.8846	−	35.8846i	−1.24783	−	1.24783i	−0.291152	−	0.956677i	$-0.594039\pi$
$828$	−9.36800	−	16.1178i	−0.325560	−	0.560131i
$829$	−6.84382	+	11.8539i	−0.237696	+	0.411701i	−0.960053	−	0.279819i	$-0.909725\pi$
$829$	−6.84382	+	11.8539i	−0.237696	+	0.411701i	0.722357	+	0.691520i	$0.243059\pi$
$830$	−4.46181	−	2.56741i	−0.154872	−	0.0891163i
$831$	−1.74614			−0.0605728
$832$	0.476583	+	28.8405i	0.0165225	+	0.999863i
$833$	14.4958			0.502249
$834$	−0.449359	−	0.258570i	−0.0155600	−	0.00895355i
$835$	−27.9372	+	48.3886i	−0.966807	+	1.67456i
$836$	−24.5834	−	42.2962i	−0.850236	−	1.46284i
$837$	−4.23027	−	4.23027i	−0.146220	−	0.146220i
$838$	25.8524	−	14.9759i	0.893055	−	0.517333i
$839$	14.7393	+	3.94939i	0.508858	+	0.136348i	0.504108	−	0.863641i	$-0.331821\pi$
$839$	14.7393	+	3.94939i	0.508858	+	0.136348i	0.00474988	+	0.999989i	$0.498488\pi$
$840$	0.00824510	+	1.89630i	0.000284483	+	0.0654284i
$841$	−6.72126	−	11.6416i	−0.231768	−	0.401433i
$842$	−11.8701	−	44.0445i	−0.409072	−	1.51787i
$843$	−0.562865	+	0.150819i	−0.0193861	+	0.00519449i
$844$	51.3199	−	0.148759i	1.76650	−	0.00512050i
$845$	−27.5775	−	26.7273i	−0.948695	−	0.919448i
$846$	−5.64968	−	5.63333i	−0.194240	−	0.193678i
$847$	−40.0159	+	10.7222i	−1.37496	+	0.368420i
$848$	26.6232	+	15.1658i	0.914244	+	0.520796i
$849$	1.91627	−	1.10636i	0.0657663	−	0.0379702i
$850$	0.0326542	+	22.5306i	0.00112003	+	0.772794i
$851$	−0.254372	−	0.0681588i	−0.00871977	−	0.00233646i
$852$	−0.442406	+	1.67043i	−0.0151566	+	0.0572281i
$853$	−23.2454	+	23.2454i	−0.795909	+	0.795909i	−0.982448	−	0.186539i	$-0.940273\pi$
$853$	−23.2454	+	23.2454i	−0.795909	+	0.795909i	0.186539	+	0.982448i	$0.440273\pi$
$854$	15.3613	+	4.09219i	0.525653	+	0.140032i
$855$	18.8338	−	32.6210i	0.644101	−	1.11562i
$856$	15.4147	+	8.81054i	0.526864	+	0.301138i
$857$		−	46.4375i		−	1.58627i	−0.609043	−	0.793137i	$-0.708446\pi$
$857$		−	46.4375i		−	1.58627i	0.609043	−	0.793137i	$-0.291554\pi$
$858$	2.48998	+	2.44421i	0.0850067	+	0.0834439i
$859$	37.0596			1.26446			0.632228	−	0.774782i	$-0.282141\pi$
$859$	37.0596			1.26446			0.632228	+	0.774782i	$0.282141\pi$
$860$	−7.07028	−	26.0840i	−0.241095	−	0.889456i
$861$	1.44000	+	0.831382i	0.0490749	+	0.0283334i
$862$	−27.4944	−	7.32442i	−0.936464	−	0.249471i
$863$	17.2801	+	17.2801i	0.588220	+	0.588220i	0.937149	−	0.348929i	$-0.113455\pi$
$863$	17.2801	+	17.2801i	0.588220	+	0.588220i	−0.348929	+	0.937149i	$0.613455\pi$
$864$	3.48849	−	2.04793i	0.118681	−	0.0696719i
$865$	−4.48377	+	16.7336i	−0.152453	+	0.568961i
$866$	−32.0232	+	0.0464120i	−1.08819	+	0.00157715i
$867$	−0.0759885	−	0.131616i	−0.00258071	−	0.00446991i
$868$	−15.8131	+	27.5733i	−0.536731	+	0.935899i
$869$	6.64454	+	24.7978i	0.225401	+	0.841207i
$870$	−1.39405	−	1.39002i	−0.0472628	−	0.0471260i
$871$	12.6700	−	3.50144i	0.429307	−	0.118642i
$872$	−7.82014	+	7.88845i	−0.264824	+	0.267136i
$873$	9.49930	+	35.4519i	0.321503	+	1.19986i
$874$	−18.2052	+	4.90637i	−0.615801	+	0.165960i
$875$	−6.18677	+	3.57193i	−0.209151	+	0.120753i
$876$	−0.563989	−	0.560729i	−0.0190554	−	0.0189453i
$877$	11.1473	−	41.6023i	0.376417	−	1.40481i	−0.474845	−	0.880069i	$-0.657496\pi$
$877$	11.1473	−	41.6023i	0.376417	−	1.40481i	0.851263	−	0.524740i	$-0.175837\pi$
$878$	−32.4662	+	18.8072i	−1.09568	+	0.634711i
$879$	1.43160	−	1.43160i	0.0482868	−	0.0482868i
$880$	−58.4180	+	34.1807i	−1.96927	+	1.15223i
$881$	−7.04095	−	4.06510i	−0.237216	−	0.136957i	0.376681	−	0.926343i	$-0.377065\pi$
$881$	−7.04095	−	4.06510i	−0.237216	−	0.136957i	−0.613896	+	0.789387i	$0.710399\pi$
$882$	−7.14151	+	12.4110i	−0.240467	+	0.417899i
$883$			38.1442i			1.28365i	0.766850	+	0.641827i	$0.221823\pi$
$883$			38.1442i			1.28365i	−0.766850	+	0.641827i	$0.778177\pi$
$884$	−15.1250	+	26.8586i	−0.508710	+	0.903352i
$885$		−	0.452756i		−	0.0152192i
$886$	−8.28506	−	4.76739i	−0.278342	−	0.160164i
$887$	−11.1078	−	6.41307i	−0.372962	−	0.215330i	0.301790	−	0.953375i	$-0.402416\pi$
$887$	−11.1078	−	6.41307i	−0.372962	−	0.215330i	−0.674752	+	0.738045i	$0.735749\pi$
$888$	0.00725741	−	0.0275639i	0.000243543	−	0.000924983i
$889$	12.2432	−	12.2432i	0.410625	−	0.410625i
$890$	1.65084	+	2.84979i	0.0553363	+	0.0955253i
$891$	−13.1520	+	49.0839i	−0.440609	+	1.64437i
$892$	−18.5638	−	18.4565i	−0.621563	−	0.617970i
$893$	−6.98810	+	4.03458i	−0.233848	+	0.135012i
$894$	−0.812778	−	3.01584i	−0.0271834	−	0.100865i
$895$	6.99283	+	26.0976i	0.233745	+	0.872347i
$896$	−15.3510	−	15.0426i	−0.512840	−	0.502539i
$897$	1.15929	−	0.681471i	0.0387076	−	0.0227536i
$898$	29.0621	−	29.1465i	0.969816	−	0.972631i
$899$	−8.54054	−	31.8737i	−0.284843	−	1.06305i
$900$	−19.3063	−	11.0720i	−0.643543	−	0.369067i
$901$	16.3716	+	28.3564i	0.545416	+	0.944688i
$902$	0.0860134	+	59.3471i	0.00286393	+	1.97604i
$903$	0.268679	−	1.00272i	0.00894108	−	0.0333686i
$904$	−24.1930	+	14.1084i	−0.804646	+	0.469239i
$905$	−24.1295	−	24.1295i	−0.802091	−	0.802091i
$906$	0.989244	−	3.71343i	0.0328654	−	0.123370i
$907$	−26.6269	−	15.3730i	−0.884132	−	0.510454i	−0.0121133	−	0.999927i	$-0.503856\pi$
$907$	−26.6269	−	15.3730i	−0.884132	−	0.510454i	−0.872018	+	0.489473i	$0.837189\pi$
$908$	−14.1017	−	52.0244i	−0.467980	−	1.72649i
$909$	−15.7861			−0.523593
$910$	28.6145	−	0.265455i	0.948561	−	0.00879973i
$911$		−	41.5292i		−	1.37593i	−0.725746	−	0.687963i	$-0.758505\pi$
$911$		−	41.5292i		−	1.37593i	0.725746	−	0.687963i	$-0.241495\pi$
$912$	−0.539604	−	1.96812i	−0.0178681	−	0.0651710i
$913$	3.52879	−	6.11204i	0.116786	−	0.202279i
$914$	−6.27981	+	23.5732i	−0.207718	+	0.779731i
$915$	1.47666	−	1.47666i	0.0488170	−	0.0488170i
$916$	−0.429651	−	0.113791i	−0.0141961	−	0.00375975i
$917$	−16.8744	−	4.52148i	−0.557242	−	0.149313i
$918$	4.32288	−	0.00626527i	0.142676	−	0.000206785i
$919$	36.7323	−	21.2074i	1.21169	−	0.699567i	0.248560	−	0.968617i	$-0.420043\pi$
$919$	36.7323	−	21.2074i	1.21169	−	0.699567i	0.963126	+	0.269049i	$0.0867095\pi$
$920$	6.86096	+	25.1672i	0.226199	+	0.829739i
$921$	−2.38796	+	0.639851i	−0.0786859	+	0.0210838i
$922$	−28.5836	+	28.6666i	−0.941350	+	0.944083i
$923$	25.2398	+	6.55167i	0.830777	+	0.215651i
$924$	−2.59984	+	0.00753604i	−0.0855283	+	0.000247918i
$925$	−0.303676	+	0.0813697i	−0.00998480	+	0.00267542i
$926$	−16.4878	+	4.44351i	−0.541823	+	0.146023i
$927$	22.6559	+	39.2413i	0.744119	+	1.28885i
$928$	22.3117	−	0.161688i	0.732418	−	0.00530766i
$929$	−39.6233	−	10.6170i	−1.30000	−	0.348334i	−0.458549	−	0.888669i	$-0.651631\pi$
$929$	−39.6233	−	10.6170i	−1.30000	−	0.348334i	−0.841450	+	0.540335i	$0.818297\pi$
$930$	2.09302	+	3.61311i	0.0686328	+	0.118479i
$931$	10.2404	+	10.2404i	0.335614	+	0.335614i
$932$	−41.5717	+	24.1624i	−1.36173	+	0.791465i
$933$	1.14773	−	1.98792i	0.0375749	−	0.0650816i
$934$	−1.04196	+	1.81079i	−0.0340941	+	0.0592509i
$935$	−72.3293			−2.36542
$936$	−15.5442	−	26.1819i	−0.508078	−	0.855783i
$937$	14.4265			0.471292			0.235646	−	0.971839i	$-0.424279\pi$
$937$	14.4265			0.471292			0.235646	+	0.971839i	$0.424279\pi$
$938$	−4.88499	+	8.48945i	−0.159501	+	0.277190i
$939$	−0.0934150	+	0.161800i	−0.00304848	+	0.00528013i
$940$	5.60985	+	9.65183i	0.182973	+	0.314808i
$941$	−29.8298	−	29.8298i	−0.972423	−	0.972423i	0.0272066	−	0.999630i	$-0.491339\pi$
$941$	−29.8298	−	29.8298i	−0.972423	−	0.972423i	−0.999630	+	0.0272066i	$0.991339\pi$
$942$	0.599160	+	1.03431i	0.0195217	+	0.0336997i
$943$	22.0936	+	5.91996i	0.719466	+	0.192780i
$944$	3.64949	+	3.60741i	0.118781	+	0.117411i
$945$	−2.00656	−	3.47546i	−0.0652734	−	0.113057i
$946$	35.7752	−	9.64152i	1.16315	−	0.313473i
$947$	−11.4406	+	3.06549i	−0.371769	+	0.0996152i	−0.439866	−	0.898064i	$-0.644974\pi$
$947$	−11.4406	+	3.06549i	−0.371769	+	0.0996152i	0.0680969	+	0.997679i	$0.478307\pi$
$948$	0.00310424	+	1.07092i	0.000100821	+	0.0347819i
$949$	−8.41946	+	8.55230i	−0.273307	+	0.277620i
$950$	−15.8934	+	15.9395i	−0.515650	+	0.517147i
$951$	0.0211309	−	0.00566201i	0.000685217	−	0.000183603i
$952$	−6.04097	−	22.1594i	−0.195789	−	0.718189i
$953$	−8.77779	+	5.06786i	−0.284341	+	0.164164i	−0.635387	−	0.772194i	$-0.719159\pi$
$953$	−8.77779	+	5.06786i	−0.284341	+	0.164164i	0.351046	+	0.936358i	$0.385826\pi$
$954$	−32.3437	+	0.0468767i	−1.04717	+	0.00151769i
$955$	59.4734	+	15.9359i	1.92451	+	0.515672i
$956$	14.0965	−	53.2254i	0.455912	−	1.72143i
$957$	1.90848	−	1.90848i	0.0616924	−	0.0616924i
$958$	0.0362927	−	0.136236i	0.00117257	−	0.00440158i
$959$	10.7831	−	18.6768i	0.348203	−	0.603105i
$960$	−2.72073	+	0.754434i	−0.0878110	+	0.0243493i
$961$			38.9905i			1.25776i
$962$	−0.416479	−	0.107464i	−0.0134278	−	0.00346479i
$963$	−18.7424			−0.603965
$964$	27.5262	−	7.46120i	0.886558	−	0.240309i
$965$	−7.73056	−	4.46324i	−0.248855	−	0.143677i
$966$	−0.257935	+	0.968237i	−0.00829892	+	0.0311525i
$967$	4.34955	+	4.34955i	0.139872	+	0.139872i	0.773576	−	0.633704i	$-0.218466\pi$
$967$	4.34955	+	4.34955i	0.139872	+	0.139872i	−0.633704	+	0.773576i	$0.718466\pi$
$968$	−31.0723	−	53.2825i	−0.998703	−	1.71256i
$969$	0.564444	−	2.10654i	0.0181326	−	0.0676717i
$970$	−0.0744320	−	51.3562i	−0.00238987	−	1.64895i
$971$	27.9858	+	48.4728i	0.898107	+	1.55557i	0.829912	+	0.557894i	$0.188391\pi$
$971$	27.9858	+	48.4728i	0.898107	+	1.55557i	0.0681947	+	0.997672i	$0.478276\pi$
$972$	−3.18906	+	5.56078i	−0.102289	+	0.178362i
$973$	−1.50876	−	5.63075i	−0.0483685	−	0.180514i
$974$	−23.3563	+	23.4241i	−0.748386	+	0.750558i
$975$	0.791792	−	1.39656i	0.0253576	−	0.0447256i
$976$	0.137214	+	23.6684i	0.00439213	+	0.757607i
$977$	−7.62905	−	28.4720i	−0.244075	−	0.910899i	−0.973846	−	0.227208i	$-0.927040\pi$
$977$	−7.62905	−	28.4720i	−0.244075	−	0.910899i	0.729771	−	0.683691i	$-0.239626\pi$
$978$	0.278573	+	1.03365i	0.00890777	+	0.0330526i
$979$	−3.91034	+	2.25764i	−0.124975	+	0.0721544i
$980$	14.1264	−	14.2086i	0.451253	−	0.453876i
$981$	3.03478	−	11.3260i	0.0968932	−	0.361610i
$982$	10.1683	+	17.5533i	0.324485	+	0.560147i
$983$	−25.7045	+	25.7045i	−0.819846	+	0.819846i	−0.986085	−	0.166240i	$-0.946838\pi$
$983$	−25.7045	+	25.7045i	−0.819846	+	0.819846i	0.166240	+	0.986085i	$0.446838\pi$
$984$	−0.630345	+	2.39407i	−0.0200947	+	0.0763201i
$985$	53.8335	+	31.0808i	1.71528	+	0.990316i
$986$	20.6668	+	11.8921i	0.658164	+	0.378720i
$987$			0.428821i			0.0136495i
$988$	−29.6588	+	8.28901i	−0.943573	+	0.263709i
$989$		−	14.2800i		−	0.454079i
$990$	35.6339	−	61.9267i	1.13252	−	1.96816i
$991$	25.7808	+	14.8846i	0.818955	+	0.472824i	0.850056	−	0.526693i	$-0.176568\pi$
$991$	25.7808	+	14.8846i	0.818955	+	0.472824i	−0.0311012	+	0.999516i	$0.509901\pi$
$992$	−45.8004	−	11.9171i	−1.45416	−	0.378369i
$993$	1.08819	−	1.08819i	0.0345327	−	0.0345327i
$994$	−16.8128	+	9.73938i	−0.533269	+	0.308914i
$995$	4.09883	−	15.2970i	0.129942	−	0.484948i
$996$	0.207572	−	0.208779i	0.00657718	−	0.00661542i
$997$	−4.35409	+	2.51384i	−0.137895	+	0.0796140i	−0.567361	−	0.823469i	$-0.692035\pi$
$997$	−4.35409	+	2.51384i	−0.137895	+	0.0796140i	0.429465	+	0.903083i	$0.358702\pi$
$998$	−57.8473	+	15.5900i	−1.83113	+	0.493494i
$999$	0.0156122	+	0.0582654i	0.000493947	+	0.00184343i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	104.2.u.a.19.3	yes	48
3.2	odd	2		936.2.ed.d.19.10		48
4.3	odd	2		416.2.bk.a.175.6		48
8.3	odd	2	inner	104.2.u.a.19.8	yes	48
8.5	even	2		416.2.bk.a.175.5		48
13.11	odd	12	inner	104.2.u.a.11.8	yes	48
24.11	even	2		936.2.ed.d.19.5		48
39.11	even	12		936.2.ed.d.739.5		48
52.11	even	12		416.2.bk.a.271.5		48
104.11	even	12	inner	104.2.u.a.11.3	✓	48
104.37	odd	12		416.2.bk.a.271.6		48
312.11	odd	12		936.2.ed.d.739.10		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
104.2.u.a.11.3	✓	48	104.11	even	12	inner
104.2.u.a.11.8	yes	48	13.11	odd	12	inner
104.2.u.a.19.3	yes	48	1.1	even	1	trivial
104.2.u.a.19.8	yes	48	8.3	odd	2	inner
416.2.bk.a.175.5		48	8.5	even	2
416.2.bk.a.175.6		48	4.3	odd	2
416.2.bk.a.271.5		48	52.11	even	12
416.2.bk.a.271.6		48	104.37	odd	12
936.2.ed.d.19.5		48	24.11	even	2
936.2.ed.d.19.10		48	3.2	odd	2
936.2.ed.d.739.5		48	39.11	even	12
936.2.ed.d.739.10		48	312.11	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 104 = 2^{3} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	104.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22577 - 0.705331i) q^{2} +(0.0597334 - 0.103461i) q^{3} +(1.00502 + 1.72914i) q^{4} +(2.08890 + 2.08890i) q^{5} +(-0.146194 + 0.0846877i) q^{6} +(-1.83497 - 0.491678i) q^{7} +(-0.0122979 - 2.82840i) q^{8} +(1.49286 + 2.58572i) q^{9} +(-1.08714 - 4.03388i) q^{10} +(5.53261 - 1.48246i) q^{11} +(0.238933 - 0.000692584i) q^{12} +(-0.0282216 - 3.60544i) q^{13} +(1.90245 + 1.89694i) q^{14} +(0.340898 - 0.0913433i) q^{15} +(-1.97988 + 3.47564i) q^{16} +(-3.70190 + 2.13730i) q^{17} +(-0.00611971 - 4.22245i) q^{18} +(-4.12503 - 1.10530i) q^{19} +(-1.51263 + 5.71140i) q^{20} +(-0.160478 + 0.160478i) q^{21} +(-7.82732 - 2.08517i) q^{22} +(-1.56097 + 2.70367i) q^{23} +(-0.293364 - 0.167678i) q^{24} +3.72704i q^{25} +(-2.50844 + 4.43934i) q^{26} +0.715095 q^{27} +(-0.993990 - 3.66707i) q^{28} +(3.41586 + 1.97215i) q^{29} +(-0.482289 - 0.128480i) q^{30} +(-5.91568 - 5.91568i) q^{31} +(4.87835 - 2.86385i) q^{32} +(0.177104 - 0.660963i) q^{33} +(6.04518 - 0.00876144i) q^{34} +(-2.80600 - 4.86014i) q^{35} +(-2.97072 + 5.18006i) q^{36} +(0.0218323 + 0.0814791i) q^{37} +(4.27673 + 4.26435i) q^{38} +(-0.374709 - 0.212445i) q^{39} +(5.88257 - 5.93395i) q^{40} +(-1.89625 - 7.07690i) q^{41} +(0.309900 - 0.0835190i) q^{42} +(-3.96129 + 2.28705i) q^{43} +(8.12375 + 8.07679i) q^{44} +(-2.28286 + 8.51976i) q^{45} +(3.82037 - 2.21308i) q^{46} +(1.33607 - 1.33607i) q^{47} +(0.241329 + 0.412453i) q^{48} +(-2.93682 - 1.69557i) q^{49} +(2.62880 - 4.56849i) q^{50} +0.510672i q^{51} +(6.20597 - 3.67233i) q^{52} -7.65994i q^{53} +(-0.876541 - 0.504379i) q^{54} +(14.6538 + 8.46037i) q^{55} +(-1.36810 + 5.19607i) q^{56} +(-0.360758 + 0.360758i) q^{57} +(-2.79604 - 4.82671i) q^{58} +(0.332032 - 1.23916i) q^{59} +(0.500554 + 0.497660i) q^{60} +(5.12445 - 2.95860i) q^{61} +(3.07874 + 11.4238i) q^{62} +(-1.46802 - 5.47871i) q^{63} +(-7.99970 + 0.0695668i) q^{64} +(7.47247 - 7.59037i) q^{65} +(-0.683287 + 0.685270i) q^{66} +(0.943589 + 3.52152i) q^{67} +(-7.41617 - 4.25311i) q^{68} +(0.186483 + 0.322999i) q^{69} +(0.0115027 + 7.93656i) q^{70} +(-1.87184 + 6.98581i) q^{71} +(7.29508 - 4.25422i) q^{72} +(-2.35363 - 2.35363i) q^{73} +(0.0307085 - 0.115274i) q^{74} +(0.385604 + 0.222629i) q^{75} +(-2.23450 - 8.24362i) q^{76} -10.8810 q^{77} +(0.309462 + 0.524703i) q^{78} +4.48211i q^{79} +(-11.3961 + 3.12449i) q^{80} +(-4.43588 + 7.68316i) q^{81} +(-2.66719 + 10.0121i) q^{82} +(0.871274 - 0.871274i) q^{83} +(-0.438774 - 0.116207i) q^{84} +(-12.1975 - 3.26832i) q^{85} +(6.46875 - 0.00937534i) q^{86} +(0.408082 - 0.235606i) q^{87} +(-4.26102 - 15.6302i) q^{88} +(-0.761451 + 0.204030i) q^{89} +(8.80751 - 8.83308i) q^{90} +(-1.72093 + 6.62974i) q^{91} +(-6.24384 + 0.0180988i) q^{92} +(-0.965407 + 0.258680i) q^{93} +(-2.58009 + 0.695342i) q^{94} +(-6.30793 - 10.9257i) q^{95} +(-0.00489727 - 0.675788i) q^{96} +(11.8738 + 3.18157i) q^{97} +(2.40392 + 4.14981i) q^{98} +(12.0926 + 12.0926i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{2} - 4 q^{3} - 6 q^{4} - 6 q^{6} - 10 q^{8} - 20 q^{9} - 6 q^{10} - 8 q^{11} + 8 q^{14} - 10 q^{16} - 12 q^{17} - 6 q^{18} - 8 q^{19} + 10 q^{20} - 20 q^{22} + 46 q^{24} - 2 q^{26} + 8 q^{27}+ \cdots + 168 q^{99}+O(q^{100}) \) 48 * q - 4 * q^2 - 4 * q^3 - 6 * q^4 - 6 * q^6 - 10 * q^8 - 20 * q^9 - 6 * q^10 - 8 * q^11 + 8 * q^14 - 10 * q^16 - 12 * q^17 - 6 * q^18 - 8 * q^19 + 10 * q^20 - 20 * q^22 + 46 * q^24 - 2 * q^26 + 8 * q^27 + 12 * q^28 - 54 * q^30 + 16 * q^32 + 4 * q^33 - 46 * q^34 - 4 * q^35 + 30 * q^36 - 32 * q^40 - 16 * q^42 - 12 * q^43 - 16 * q^44 + 34 * q^46 + 46 * q^48 - 60 * q^49 + 86 * q^50 + 12 * q^52 + 32 * q^54 + 48 * q^56 + 36 * q^57 + 30 * q^58 - 64 * q^59 + 80 * q^60 + 42 * q^62 - 16 * q^65 + 8 * q^66 - 8 * q^67 - 32 * q^68 + 36 * q^70 - 24 * q^72 - 12 * q^73 + 38 * q^74 + 24 * q^75 - 94 * q^76 + 40 * q^78 - 108 * q^80 - 8 * q^81 + 54 * q^82 - 48 * q^83 - 72 * q^84 + 80 * q^86 - 108 * q^88 + 12 * q^89 + 104 * q^91 - 20 * q^92 + 26 * q^94 - 32 * q^96 + 4 * q^97 - 16 * q^98 + 168 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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