LMFDB - Embedded newform 804.2.w.a.59.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(59,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("804.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.w (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$1320$
Relative dimension:	$132$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.3
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41000 + 0.109047i) q^{2} +(-1.59567 + 0.673676i) q^{3} +(1.97622 - 0.307512i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(2.17644 - 1.12389i) q^{6} +(3.11234 + 0.447486i) q^{7} +(-2.75294 + 0.649094i) q^{8} +(2.09232 - 2.14993i) q^{9} +O(q^{10})$	\(q+(-1.41000 + 0.109047i) q^{2} +(-1.59567 + 0.673676i) q^{3} +(1.97622 - 0.307512i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(2.17644 - 1.12389i) q^{6} +(3.11234 + 0.447486i) q^{7} +(-2.75294 + 0.649094i) q^{8} +(2.09232 - 2.14993i) q^{9} +(1.93486 - 3.59269i) q^{10} +(-1.02966 - 0.661724i) q^{11} +(-2.94623 + 1.82202i) q^{12} +(-2.52559 - 5.53026i) q^{13} +(-4.43720 - 0.291567i) q^{14} +(0.853940 - 4.92417i) q^{15} +(3.81087 - 1.21542i) q^{16} +(-0.326722 - 1.11271i) q^{17} +(-2.71574 + 3.25957i) q^{18} +(-6.26365 + 0.900577i) q^{19} +(-2.33639 + 5.27669i) q^{20} +(-5.26772 + 1.38267i) q^{21} +(1.52399 + 0.820751i) q^{22} +(2.99938 + 3.46147i) q^{23} +(3.95550 - 2.89033i) q^{24} +(-1.38149 - 3.02503i) q^{25} +(4.16414 + 7.52228i) q^{26} +(-1.89030 + 4.84012i) q^{27} +(6.28826 - 0.0727518i) q^{28} -6.49562i q^{29} +(-0.667093 + 7.03621i) q^{30} +(-2.02589 - 0.925194i) q^{31} +(-5.24080 + 2.12931i) q^{32} +(2.08879 + 0.362234i) q^{33} +(0.582016 + 1.53330i) q^{34} +(-5.94135 + 6.85668i) q^{35} +(3.47375 - 4.89214i) q^{36} +9.37700 q^{37} +(8.73356 - 1.95285i) q^{38} +(7.75560 + 7.12304i) q^{39} +(2.71891 - 7.69493i) q^{40} +(-2.62047 - 8.92450i) q^{41} +(7.27673 - 2.52399i) q^{42} +(0.365221 + 1.24383i) q^{43} +(-2.23833 - 0.991076i) q^{44} +(1.95469 + 8.43263i) q^{45} +(-4.60660 - 4.55362i) q^{46} +(-3.47181 - 4.00668i) q^{47} +(-5.26209 + 4.50671i) q^{48} +(2.76994 + 0.813329i) q^{49} +(2.27777 + 4.11466i) q^{50} +(1.27095 + 1.55542i) q^{51} +(-6.69173 - 10.1523i) q^{52} +(2.69622 - 9.18248i) q^{53} +(2.13753 - 7.03072i) q^{54} +(3.21248 - 1.46709i) q^{55} +(-8.85854 + 0.788295i) q^{56} +(9.38802 - 5.65670i) q^{57} +(0.708326 + 9.15884i) q^{58} +(5.05515 - 11.0692i) q^{59} +(0.173327 - 9.99383i) q^{60} +(-7.59440 + 4.88063i) q^{61} +(2.95740 + 1.08361i) q^{62} +(7.47407 - 5.75502i) q^{63} +(7.15735 - 3.57383i) q^{64} +(17.3637 + 2.49653i) q^{65} +(-2.98470 - 0.282975i) q^{66} +(-6.12607 + 5.42874i) q^{67} +(-0.987846 - 2.09849i) q^{68} +(-7.11794 - 3.50275i) q^{69} +(7.62962 - 10.3158i) q^{70} +(-2.95619 - 0.868016i) q^{71} +(-4.36453 + 7.27674i) q^{72} +(9.15777 - 5.88534i) q^{73} +(-13.2216 + 1.02253i) q^{74} +(4.24228 + 3.89628i) q^{75} +(-12.1014 + 3.70589i) q^{76} +(-2.90854 - 2.52027i) q^{77} +(-11.7122 - 9.19779i) q^{78} +(9.80355 - 4.47713i) q^{79} +(-2.99457 + 11.1464i) q^{80} +(-0.244385 - 8.99668i) q^{81} +(4.66806 + 12.2978i) q^{82} +(14.7143 + 9.45630i) q^{83} +(-9.98498 + 4.35234i) q^{84} +(3.21062 + 0.942724i) q^{85} +(-0.650597 - 1.71397i) q^{86} +(4.37594 + 10.3649i) q^{87} +(3.26412 + 1.15334i) q^{88} +(3.31553 + 2.87293i) q^{89} +(-3.67567 - 11.6769i) q^{90} +(-5.38575 - 18.3422i) q^{91} +(6.99188 + 5.91828i) q^{92} +(3.85593 + 0.111508i) q^{93} +(5.33218 + 5.27084i) q^{94} +(7.58507 - 16.6090i) q^{95} +(6.92812 - 6.92828i) q^{96} -3.71072 q^{97} +(-3.99432 - 0.844743i) q^{98} +(-3.57704 + 0.829162i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.41000	+	0.109047i	−0.997023	+	0.0771077i
$2$	−1.41000	+	0.109047i	−0.997023	+	0.0771077i
$3$	−1.59567	+	0.673676i	−0.921260	+	0.388947i
$3$	−1.59567	+	0.673676i	−0.921260	+	0.388947i
$4$	1.97622	−	0.307512i	0.988109	−	0.153756i
$5$	−1.55997	+	2.42736i	−0.697638	+	1.08555i	0.293913	+	0.955832i	$0.405042\pi$
$5$	−1.55997	+	2.42736i	−0.697638	+	1.08555i	−0.991551	+	0.129714i	$0.958594\pi$
$6$	2.17644	−	1.12389i	0.888526	−	0.458825i
$7$	3.11234	+	0.447486i	1.17635	+	0.169134i	0.702640	−	0.711546i	$-0.252004\pi$
$7$	3.11234	+	0.447486i	1.17635	+	0.169134i	0.473713	+	0.880679i	$0.342914\pi$
$8$	−2.75294	+	0.649094i	−0.973311	+	0.229489i
$9$	2.09232	−	2.14993i	0.697440	−	0.716643i
$10$	1.93486	−	3.59269i	0.611857	−	1.13611i
$11$	−1.02966	−	0.661724i	−0.310455	−	0.199517i	0.376130	−	0.926567i	$-0.377255\pi$
$11$	−1.02966	−	0.661724i	−0.310455	−	0.199517i	−0.686585	+	0.727050i	$0.740891\pi$
$12$	−2.94623	+	1.82202i	−0.850502	+	0.525972i
$13$	−2.52559	−	5.53026i	−0.700471	−	1.53382i	−0.839399	−	0.543516i	$-0.817093\pi$
$13$	−2.52559	−	5.53026i	−0.700471	−	1.53382i	0.138928	−	0.990303i	$-0.455634\pi$
$14$	−4.43720	−	0.291567i	−1.18589	−	0.0779246i
$15$	0.853940	−	4.92417i	0.220486	−	1.27142i
$16$	3.81087	−	1.21542i	0.952718	−	0.303856i
$17$	−0.326722	−	1.11271i	−0.0792416	−	0.269872i	0.910337	−	0.413869i	$-0.135823\pi$
$17$	−0.326722	−	1.11271i	−0.0792416	−	0.269872i	−0.989578	+	0.143997i	$0.954005\pi$
$18$	−2.71574	+	3.25957i	−0.640105	+	0.768287i
$19$	−6.26365	+	0.900577i	−1.43698	+	0.206607i	−0.816378	−	0.577519i	$-0.804021\pi$
$19$	−6.26365	+	0.900577i	−1.43698	+	0.206607i	−0.620603	+	0.784125i	$0.713112\pi$
$20$	−2.33639	+	5.27669i	−0.522433	+	1.17990i
$21$	−5.26772	+	1.38267i	−1.14951	+	0.301723i
$22$	1.52399	+	0.820751i	0.324915	+	0.174985i
$23$	2.99938	+	3.46147i	0.625415	+	0.721767i	0.976726	−	0.214492i	$-0.0688094\pi$
$23$	2.99938	+	3.46147i	0.625415	+	0.721767i	−0.351311	+	0.936259i	$0.614264\pi$
$24$	3.95550	−	2.89033i	0.807414	−	0.589986i
$25$	−1.38149	−	3.02503i	−0.276297	−	0.605006i
$26$	4.16414	+	7.52228i	0.816655	+	1.47524i
$27$	−1.89030	+	4.84012i	−0.363788	+	0.931482i
$28$	6.28826	−	0.0727518i	1.18837	−	0.0137488i
$29$		−	6.49562i		−	1.20621i	−0.797663	−	0.603103i	$-0.793931\pi$
$29$		−	6.49562i		−	1.20621i	0.797663	−	0.603103i	$-0.206069\pi$
$30$	−0.667093	+	7.03621i	−0.121794	+	1.28463i
$31$	−2.02589	−	0.925194i	−0.363861	−	0.166170i	0.225091	−	0.974338i	$-0.427732\pi$
$31$	−2.02589	−	0.925194i	−0.363861	−	0.166170i	−0.588952	+	0.808168i	$0.700459\pi$
$32$	−5.24080	+	2.12931i	−0.926452	+	0.376413i
$33$	2.08879	+	0.362234i	0.363611	+	0.0630568i
$34$	0.582016	+	1.53330i	0.0998149	+	0.262959i
$35$	−5.94135	+	6.85668i	−1.00427	+	1.15899i
$36$	3.47375	−	4.89214i	0.578959	−	0.815357i
$37$	9.37700			1.54157			0.770784	−	0.637096i	$-0.219865\pi$
$37$	9.37700			1.54157			0.770784	+	0.637096i	$0.219865\pi$
$38$	8.73356	−	1.95285i	1.41677	−	0.316794i
$39$	7.75560	+	7.12304i	1.24189	+	1.14060i
$40$	2.71891	−	7.69493i	0.429898	−	1.21668i
$41$	−2.62047	−	8.92450i	−0.409249	−	1.39377i	−0.864151	−	0.503232i	$-0.832144\pi$
$41$	−2.62047	−	8.92450i	−0.409249	−	1.39377i	0.454903	−	0.890541i	$-0.349674\pi$
$42$	7.27673	−	2.52399i	1.12282	−	0.389460i
$43$	0.365221	+	1.24383i	0.0556956	+	0.189682i	0.982642	−	0.185512i	$-0.0593943\pi$
$43$	0.365221	+	1.24383i	0.0556956	+	0.189682i	−0.926946	+	0.375194i	$0.877576\pi$
$44$	−2.23833	−	0.991076i	−0.337440	−	0.149410i
$45$	1.95469	+	8.43263i	0.291388	+	1.25706i
$46$	−4.60660	−	4.55362i	−0.679207	−	0.671394i
$47$	−3.47181	−	4.00668i	−0.506415	−	0.584434i	0.443762	−	0.896145i	$-0.353644\pi$
$47$	−3.47181	−	4.00668i	−0.506415	−	0.584434i	−0.950177	+	0.311710i	$0.899098\pi$
$48$	−5.26209	+	4.50671i	−0.759517	+	0.650487i
$49$	2.76994	+	0.813329i	0.395706	+	0.116190i
$50$	2.27777	+	4.11466i	0.322125	+	0.581900i
$51$	1.27095	+	1.55542i	0.177968	+	0.217802i
$52$	−6.69173	−	10.1523i	−0.927976	−	1.40788i
$53$	2.69622	−	9.18248i	0.370354	−	1.26131i	−0.537942	−	0.842982i	$-0.680798\pi$
$53$	2.69622	−	9.18248i	0.370354	−	1.26131i	0.908296	−	0.418328i	$-0.137384\pi$
$54$	2.13753	−	7.03072i	0.290880	−	0.956759i
$55$	3.21248	−	1.46709i	0.433171	−	0.197822i
$56$	−8.85854	+	0.788295i	−1.18377	+	0.105340i
$57$	9.38802	−	5.65670i	1.24347	−	0.749248i
$58$	0.708326	+	9.15884i	0.0930077	+	1.20261i
$59$	5.05515	−	11.0692i	0.658125	−	1.44109i	−0.226135	−	0.974096i	$-0.572609\pi$
$59$	5.05515	−	11.0692i	0.658125	−	1.44109i	0.884259	−	0.466996i	$-0.154664\pi$
$60$	0.173327	−	9.99383i	0.0223764	−	1.29020i
$61$	−7.59440	+	4.88063i	−0.972363	+	0.624900i	−0.927393	−	0.374088i	$-0.877956\pi$
$61$	−7.59440	+	4.88063i	−0.972363	+	0.624900i	−0.0449704	+	0.998988i	$0.514319\pi$
$62$	2.95740	+	1.08361i	0.375591	+	0.137619i
$63$	7.47407	−	5.75502i	0.941644	−	0.725064i
$64$	7.15735	−	3.57383i	0.894669	−	0.446729i
$65$	17.3637	+	2.49653i	2.15371	+	0.309656i
$66$	−2.98470	−	0.282975i	−0.367391	−	0.0348318i
$67$	−6.12607	+	5.42874i	−0.748419	+	0.663227i
$67$	−6.12607	+	5.42874i	−0.748419	+	0.663227i
$68$	−0.987846	−	2.09849i	−0.119794	−	0.254479i
$69$	−7.11794	−	3.50275i	−0.856899	−	0.421682i
$70$	7.62962	−	10.3158i	0.911915	−	1.23298i
$71$	−2.95619	−	0.868016i	−0.350835	−	0.103015i	0.101567	−	0.994829i	$-0.467615\pi$
$71$	−2.95619	−	0.868016i	−0.350835	−	0.103015i	−0.452402	+	0.891814i	$0.649433\pi$
$72$	−4.36453	+	7.27674i	−0.514365	+	0.857572i
$73$	9.15777	−	5.88534i	1.07184	−	0.688827i	0.119178	−	0.992873i	$-0.461974\pi$
$73$	9.15777	−	5.88534i	1.07184	−	0.688827i	0.952657	+	0.304046i	$0.0983377\pi$
$74$	−13.2216	+	1.02253i	−1.53698	+	0.118867i
$75$	4.24228	+	3.89628i	0.489857	+	0.449903i
$76$	−12.1014	+	3.70589i	−1.38813	+	0.425094i
$77$	−2.90854	−	2.52027i	−0.331459	−	0.287211i
$78$	−11.7122	−	9.19779i	−1.32614	−	1.04144i
$79$	9.80355	−	4.47713i	1.10299	−	0.503716i	0.221133	−	0.975244i	$-0.429024\pi$
$79$	9.80355	−	4.47713i	1.10299	−	0.503716i	0.881852	+	0.471527i	$0.156297\pi$
$80$	−2.99457	+	11.1464i	−0.334803	+	1.24620i
$81$	−0.244385	−	8.99668i	−0.0271539	−	0.999631i
$82$	4.66806	+	12.2978i	0.515501	+	1.35807i
$83$	14.7143	+	9.45630i	1.61510	+	1.03796i	0.959045	+	0.283255i	$0.0914142\pi$
$83$	14.7143	+	9.45630i	1.61510	+	1.03796i	0.656059	+	0.754709i	$0.272222\pi$
$84$	−9.98498	+	4.35234i	−1.08945	+	0.474879i
$85$	3.21062	+	0.942724i	0.348241	+	0.102253i
$86$	−0.650597	−	1.71397i	−0.0701557	−	0.184823i
$87$	4.37594	+	10.3649i	0.469150	+	1.11123i
$88$	3.26412	+	1.15334i	0.347956	+	0.122946i
$89$	3.31553	+	2.87293i	0.351446	+	0.304530i	0.812636	−	0.582772i	$-0.198032\pi$
$89$	3.31553	+	2.87293i	0.351446	+	0.304530i	−0.461190	+	0.887301i	$0.652577\pi$
$90$	−3.67567	−	11.6769i	−0.387450	−	1.23085i
$91$	−5.38575	−	18.3422i	−0.564580	−	1.92278i
$92$	6.99188	+	5.91828i	0.728954	+	0.617023i
$93$	3.85593	+	0.111508i	0.399842	+	0.0115629i
$94$	5.33218	+	5.27084i	0.549972	+	0.543646i
$95$	7.58507	−	16.6090i	0.778212	−	1.70405i
$96$	6.92812	−	6.92828i	0.707098	−	0.707115i
$97$	−3.71072			−0.376766			−0.188383	−	0.982096i	$-0.560325\pi$
$97$	−3.71072			−0.376766			−0.188383	+	0.982096i	$0.560325\pi$
$98$	−3.99432	−	0.844743i	−0.403487	−	0.0853319i
$99$	−3.57704	+	0.829162i	−0.359506	+	0.0833339i
$100$	−3.66035	−	5.55330i	−0.366035	−	0.555330i
$101$	−0.362482	+	0.0521171i	−0.0360683	+	0.00518584i	−0.160325	−	0.987064i	$-0.551254\pi$
$101$	−0.362482	+	0.0521171i	−0.0360683	+	0.00518584i	0.124257	+	0.992250i	$0.460345\pi$
$102$	−1.96165	−	2.05455i	−0.194233	−	0.203431i
$103$	3.95123	+	1.80447i	0.389326	+	0.177799i	0.600454	−	0.799659i	$-0.294986\pi$
$103$	3.95123	+	1.80447i	0.389326	+	0.177799i	−0.211128	+	0.977458i	$0.567714\pi$
$104$	10.5424	+	13.5851i	1.03377	+	1.33213i
$105$	4.86125	−	14.9435i	0.474409	−	1.45834i
$106$	−2.80036	+	13.2413i	−0.271995	+	1.28611i
$107$	0.877575	−	0.563984i	0.0848384	−	0.0545223i	−0.497534	−	0.867445i	$-0.665761\pi$
$107$	0.877575	−	0.563984i	0.0848384	−	0.0545223i	0.582372	+	0.812922i	$0.302125\pi$
$108$	−2.24724	+	10.1464i	−0.216241	+	0.976340i
$109$	−1.30398	−	2.85533i	−0.124899	−	0.273491i	0.836845	−	0.547439i	$-0.184397\pi$
$109$	−1.30398	−	2.85533i	−0.124899	−	0.273491i	−0.961744	+	0.273949i	$0.911670\pi$
$110$	−4.36962	+	2.41891i	−0.416627	+	0.230634i
$111$	−14.9626	+	6.31706i	−1.42019	+	0.599589i
$112$	12.4046	−	2.07749i	1.17212	−	0.196305i
$113$	3.86205	+	6.00946i	0.363311	+	0.565323i	0.974000	−	0.226548i	$-0.0727439\pi$
$113$	3.86205	+	6.00946i	0.363311	+	0.565323i	−0.610689	+	0.791870i	$0.709108\pi$
$114$	−12.6203	+	8.99969i	−1.18200	+	0.842898i
$115$	−13.0812	+	1.88079i	−1.21983	+	0.175384i
$116$	−1.99748	−	12.8368i	−0.185462	−	1.19186i
$117$	−17.1740	−	6.14125i	−1.58774	−	0.567759i
$118$	−5.92071	+	16.1589i	−0.545046	+	1.48755i
$119$	−0.518944	−	3.60934i	−0.0475715	−	0.330867i
$120$	0.845403	+	14.1102i	0.0771744	+	1.28808i
$121$	−3.94724	−	8.64325i	−0.358840	−	0.785750i
$122$	10.1759	−	7.70984i	0.921284	−	0.698016i
$123$	10.1936	+	12.4752i	0.919128	+	1.12485i
$124$	−4.28811	−	1.20540i	−0.385084	−	0.108248i
$125$	−4.78227	−	0.687587i	−0.427740	−	0.0614997i
$126$	−9.91090	+	8.92961i	−0.882933	+	0.795513i
$127$	7.89806	+	1.13557i	0.700839	+	0.100766i	0.483518	−	0.875335i	$-0.339359\pi$
$127$	7.89806	+	1.13557i	0.700839	+	0.100766i	0.217322	+	0.976100i	$0.430268\pi$
$128$	−9.70218	+	5.81960i	−0.857559	+	0.514385i
$129$	−1.42071	−	1.73870i	−0.125086	−	0.153084i
$130$	−24.7552	−	1.62665i	−2.17117	−	0.142667i
$131$	1.96269	+	2.26507i	0.171481	+	0.197900i	0.834984	−	0.550274i	$-0.185477\pi$
$131$	1.96269	+	2.26507i	0.171481	+	0.197900i	−0.663503	+	0.748173i	$0.730931\pi$
$132$	4.23929	+	0.0735237i	0.368983	+	0.00639942i
$133$	−19.8976			−1.72534
$134$	8.04579	−	8.32257i	0.695051	−	0.718961i
$135$	−8.79990	−	12.1389i	−0.757375	−	1.04475i
$136$	1.62170	+	2.85116i	0.139060	+	0.244485i
$137$	1.34199	−	1.16284i	0.114654	−	0.0993483i	−0.595647	−	0.803246i	$-0.703104\pi$
$137$	1.34199	−	1.16284i	0.114654	−	0.0993483i	0.710301	+	0.703898i	$0.248559\pi$
$138$	10.4183	+	4.16271i	0.886863	+	0.354353i
$139$	9.36456	−	14.5715i	0.794291	−	1.23594i	−0.173661	−	0.984806i	$-0.555560\pi$
$139$	9.36456	−	14.5715i	0.794291	−	1.23594i	0.967952	−	0.251136i	$-0.0808041\pi$
$140$	−9.63289	+	15.3773i	−0.814127	+	1.29962i
$141$	8.23906	+	4.05446i	0.693854	+	0.341447i
$142$	4.26289	+	0.901542i	0.357734	+	0.0756557i
$143$	−1.05900	+	7.36554i	−0.0885584	+	0.615938i
$144$	5.36050	−	10.7362i	0.446708	−	0.894680i
$145$	15.7672	+	10.1329i	1.30939	+	0.841495i
$146$	−12.2707	+	9.29697i	−1.01553	+	0.769423i
$147$	−4.96783	+	0.568241i	−0.409740	+	0.0468677i
$148$	18.5310	−	2.88354i	1.52324	−	0.237026i
$149$	9.81723	−	1.41150i	0.804259	−	0.115635i	0.272088	−	0.962272i	$-0.412286\pi$
$149$	9.81723	−	1.41150i	0.804259	−	0.115635i	0.532170	+	0.846637i	$0.321377\pi$
$150$	−6.40651	−	5.03115i	−0.523089	−	0.410792i
$151$	1.51220	+	5.15008i	0.123061	+	0.419107i	0.997861	−	0.0653777i	$-0.0208252\pi$
$151$	1.51220	+	5.15008i	0.123061	+	0.419107i	−0.874800	+	0.484485i	$0.839007\pi$
$152$	16.6589	−	6.54493i	1.35122	−	0.530864i
$153$	−3.07586	−	1.62572i	−0.248668	−	0.131432i
$154$	4.37588	+	3.23642i	0.352619	+	0.260798i
$155$	5.40610	−	3.47429i	0.434228	−	0.279062i
$156$	17.5172	+	11.6917i	1.40250	+	0.936088i
$157$	2.49213	+	2.87607i	0.198893	+	0.229535i	0.846431	−	0.532498i	$-0.178747\pi$
$157$	2.49213	+	2.87607i	0.198893	+	0.229535i	−0.647538	+	0.762033i	$0.724201\pi$
$158$	−13.3348	+	7.38181i	−1.06086	+	0.587265i
$159$	1.88374	+	16.4686i	0.149390	+	1.30604i
$160$	3.00688	−	16.0430i	0.237715	−	1.26831i
$161$	7.78613	+	12.1155i	0.613633	+	0.954832i
$162$	1.32564	+	12.6587i	0.104152	+	0.994561i
$163$		−	5.16395i		−	0.404472i	−0.979337	−	0.202236i	$-0.935179\pi$
$163$		−	5.16395i		−	0.404472i	0.979337	−	0.202236i	$-0.0648208\pi$
$164$	−7.92302	−	16.8309i	−0.618684	−	1.31427i
$165$	−4.13771	+	4.50516i	−0.322120	+	0.350726i
$166$	−21.7784	−	11.7289i	−1.69033	−	0.910337i
$167$	−2.66674	−	18.5476i	−0.206359	−	1.43526i	−0.784910	−	0.619610i	$-0.787291\pi$
$167$	−2.66674	−	18.5476i	−0.206359	−	1.43526i	0.578551	−	0.815646i	$-0.303618\pi$
$168$	13.6042	−	7.22564i	1.04959	−	0.557470i
$169$	−15.6920	+	18.1095i	−1.20708	+	1.39304i
$170$	−4.62979	−	0.979136i	−0.355089	−	0.0750963i
$171$	−11.1694	+	15.3507i	−0.854145	+	1.17390i
$172$	1.10425	+	2.34576i	0.0841981	+	0.178863i
$173$	1.82602	+	0.833917i	0.138830	+	0.0634015i	0.483619	−	0.875279i	$-0.339322\pi$
$173$	1.82602	+	0.833917i	0.138830	+	0.0634015i	−0.344789	+	0.938680i	$0.612049\pi$
$174$	−7.30034	−	14.1373i	−0.553438	−	1.07175i
$175$	−2.94599	−	10.0331i	−0.222696	−	0.758432i
$176$	−4.72819	−	1.27027i	−0.356400	−	0.0957502i
$177$	−0.609269	+	21.0684i	−0.0457955	+	1.58360i
$178$	−4.98819	−	3.68929i	−0.373881	−	0.276524i
$179$	−1.56497	+	1.80607i	−0.116971	+	0.134992i	−0.811215	−	0.584748i	$-0.801193\pi$
$179$	−1.56497	+	1.80607i	−0.116971	+	0.134992i	0.694244	+	0.719740i	$0.255739\pi$
$180$	6.45603	+	16.0636i	0.481204	+	1.19731i
$181$	−16.2773	−	18.7850i	−1.20988	−	1.39628i	−0.894350	−	0.447368i	$-0.852362\pi$
$181$	−16.2773	−	18.7850i	−1.20988	−	1.39628i	−0.315535	−	0.948914i	$-0.602184\pi$
$182$	9.59409	+	25.2753i	0.711161	+	1.87353i
$183$	8.83019	−	12.9040i	0.652747	−	0.953893i
$184$	−10.5039	−	7.58235i	−0.774361	−	0.558978i
$185$	−14.6278	+	22.7613i	−1.07546	+	1.67344i
$186$	−5.44904	+	0.263250i	−0.399543	+	0.0193024i
$187$	−0.399895	+	1.36192i	−0.0292432	+	0.0995932i
$188$	−8.09315	−	6.85045i	−0.590254	−	0.499620i
$189$	−8.04913	+	14.2182i	−0.585488	+	1.03422i
$190$	−8.88382	+	24.2458i	−0.644500	+	1.75898i
$191$	−6.22350	+	7.18230i	−0.450317	+	0.519693i	−0.934832	−	0.355090i	$-0.884450\pi$
$191$	−6.22350	+	7.18230i	−0.450317	+	0.519693i	0.484516	+	0.874783i	$0.338996\pi$
$192$	−9.01317	+	10.5244i	−0.650469	+	0.759533i
$193$	−10.6880	+	23.4034i	−0.769338	+	1.68461i	−0.0412325	+	0.999150i	$0.513128\pi$
$193$	−10.6880	+	23.4034i	−0.769338	+	1.68461i	−0.728105	+	0.685465i	$0.759599\pi$
$194$	5.23212	−	0.404641i	0.375644	−	0.0290516i
$195$	−29.3886	+	7.71390i	−2.10456	+	0.552404i
$196$	5.72412	+	0.755522i	0.408866	+	0.0539659i
$197$	−2.19697	+	7.48219i	−0.156528	+	0.533084i	−0.999992	−	0.00410170i	$-0.998694\pi$
$197$	−2.19697	+	7.48219i	−0.156528	+	0.533084i	0.843464	+	0.537186i	$0.180513\pi$
$198$	4.95323	−	1.55919i	0.352010	−	0.110807i
$199$	−20.4550	−	2.94099i	−1.45002	−	0.208481i	−0.628121	−	0.778115i	$-0.716176\pi$
$199$	−20.4550	−	2.94099i	−1.45002	−	0.208481i	−0.821898	+	0.569634i	$0.807085\pi$
$200$	5.76667	+	7.43101i	0.407765	+	0.525452i
$201$	6.11797	−	12.7895i	0.431528	−	0.902099i
$202$	0.505418	−	0.113013i	0.0355611	−	0.00795155i
$203$	2.90670	−	20.2165i	0.204010	−	1.41892i
$204$	2.98998	+	2.68301i	0.209340	+	0.187848i
$205$	25.7508	+	7.56111i	1.79851	+	0.528091i
$206$	−5.76802	−	2.11343i	−0.401877	−	0.147250i
$207$	13.7176	+	0.794053i	0.953439	+	0.0551905i
$208$	−16.3463	−	18.0055i	−1.13341	−	1.24845i
$209$	7.04538	+	3.21752i	0.487339	+	0.222560i
$210$	−5.22483	+	21.6006i	−0.360547	+	1.49058i
$211$	−12.3633	−	10.7129i	−0.851126	−	0.737504i	0.115607	−	0.993295i	$-0.463119\pi$
$211$	−12.3633	−	10.7129i	−0.851126	−	0.737504i	−0.966732	+	0.255791i	$0.917664\pi$
$212$	2.50459	−	18.9757i	0.172016	−	1.30326i
$213$	5.30186	−	0.606449i	0.363278	−	0.0415532i
$214$	−1.17588	+	0.890915i	−0.0803817	+	0.0609017i
$215$	−3.58894	−	1.05381i	−0.244764	−	0.0718692i
$216$	2.06218	−	14.5515i	0.140314	−	0.990107i
$217$	−5.89125	−	3.78607i	−0.399924	−	0.257015i
$218$	2.14998	+	3.88382i	0.145615	+	0.263046i
$219$	−10.6480	+	15.5604i	−0.719522	+	1.05148i
$220$	5.89741	−	3.88717i	0.397603	−	0.262073i
$221$	−5.32842	+	4.61710i	−0.358428	+	0.310580i
$222$	20.4084	−	10.5387i	1.36972	−	0.707311i
$223$	−3.69250	−	3.19957i	−0.247268	−	0.214259i	0.522404	−	0.852698i	$-0.325035\pi$
$223$	−3.69250	−	3.19957i	−0.247268	−	0.214259i	−0.769673	+	0.638439i	$0.779581\pi$
$224$	−17.2640	+	4.28195i	−1.15350	+	0.286100i
$225$	−9.39411	−	3.35924i	−0.626274	−	0.223949i
$226$	−6.10081	−	8.05222i	−0.405820	−	0.535626i
$227$	−1.59444	+	0.468171i	−0.105827	+	0.0310736i	−0.334217	−	0.942496i	$-0.608472\pi$
$227$	−1.59444	+	0.468171i	−0.105827	+	0.0310736i	0.228390	+	0.973570i	$0.426654\pi$
$228$	16.8133	−	14.0658i	1.11349	−	0.931530i
$229$	−1.20819	+	2.64557i	−0.0798396	+	0.174824i	−0.945342	−	0.326080i	$-0.894272\pi$
$229$	−1.20819	+	2.64557i	−0.0798396	+	0.174824i	0.865502	+	0.500905i	$0.166999\pi$
$230$	18.2394	−	4.07838i	1.20267	−	0.268920i
$231$	6.33892	+	2.06210i	0.417070	+	0.135676i
$232$	4.21626	+	17.8820i	0.276811	+	1.17401i
$233$	−16.0801	−	13.9335i	−1.05345	−	0.912815i	−0.0571114	−	0.998368i	$-0.518189\pi$
$233$	−16.0801	−	13.9335i	−1.05345	−	0.912815i	−0.996334	+	0.0855524i	$0.972734\pi$
$234$	24.8851	+	6.78642i	1.62679	+	0.443642i
$235$	15.1415	−	2.17703i	0.987726	−	0.142014i
$236$	6.58615	−	23.4297i	0.428722	−	1.52515i
$237$	−12.6271	+	13.7484i	−0.820217	+	0.893057i
$238$	1.12530	+	5.03259i	0.0729423	+	0.326214i
$239$	−13.5685			−0.877671			−0.438835	−	0.898567i	$-0.644609\pi$
$239$	−13.5685			−0.877671			−0.438835	+	0.898567i	$0.644609\pi$
$240$	−2.73070	−	19.8033i	−0.176266	−	1.27830i
$241$	15.9197	−	10.2309i	1.02548	−	0.659033i	0.0841221	−	0.996455i	$-0.473191\pi$
$241$	15.9197	−	10.2309i	1.02548	−	0.659033i	0.941353	+	0.337422i	$0.109555\pi$
$242$	6.50814	+	11.7566i	0.418359	+	0.755741i
$243$	6.45081	+	14.1911i	0.413819	+	0.910359i
$244$	−13.5073	+	11.9806i	−0.864719	+	0.766976i
$245$	−6.29526	+	5.45487i	−0.402189	+	0.348499i
$246$	−15.7334	−	16.4785i	−1.00313	−	1.05063i
$247$	20.7998	+	32.3651i	1.32346	+	2.05934i
$248$	6.17770	+	1.23201i	0.392284	+	0.0782327i
$249$	−29.8496	−	5.17646i	−1.89164	−	0.328045i
$250$	6.81800	+	0.448009i	0.431208	+	0.0283346i
$251$	−29.4320	+	8.64200i	−1.85773	+	0.545478i	−0.858248	+	0.513235i	$0.828447\pi$
$251$	−29.4320	+	8.64200i	−1.85773	+	0.545478i	−0.999480	+	0.0322436i	$0.989735\pi$
$252$	13.0007	−	13.6715i	0.818964	−	0.861226i
$253$	−0.797814	−	5.54891i	−0.0501581	−	0.348857i
$254$	−11.2601	−	0.739899i	−0.706523	−	0.0464254i
$255$	−5.75818	+	0.658644i	−0.360591	+	0.0412459i
$256$	13.0455	−	9.26364i	0.815343	−	0.578978i
$257$	11.8398	−	18.4231i	0.738545	−	1.14920i	−0.245172	−	0.969479i	$-0.578845\pi$
$257$	11.8398	−	18.4231i	0.738545	−	1.14920i	0.983718	−	0.179720i	$-0.0575191\pi$
$258$	2.19280	+	2.29664i	0.136518	+	0.142983i
$259$	29.1844	+	4.19608i	1.81343	+	0.260732i
$260$	35.0822	−	0.405882i	2.17571	−	0.0251718i
$261$	−13.9651	−	13.5909i	−0.864419	−	0.841257i
$262$	−3.01440	−	2.97972i	−0.186230	−	0.184088i
$263$	−1.55119	−	0.996892i	−0.0956507	−	0.0614710i	0.491941	−	0.870628i	$-0.336288\pi$
$263$	−1.55119	−	0.996892i	−0.0956507	−	0.0614710i	−0.587592	+	0.809158i	$0.699924\pi$
$264$	−5.98543	+	0.358612i	−0.368378	+	0.0220711i
$265$	18.0831	+	20.8690i	1.11084	+	1.28197i
$266$	28.0557	−	2.16977i	1.72020	−	0.133037i
$267$	−7.22592	−	2.35064i	−0.442219	−	0.143857i
$268$	−10.4370	+	12.6122i	−0.637544	+	0.770414i
$269$		−	1.12240i		−	0.0684339i	−0.999414	−	0.0342170i	$-0.989106\pi$
$269$		−	1.12240i		−	0.0684339i	0.999414	−	0.0342170i	$-0.0108937\pi$
$270$	13.7316	+	16.1562i	0.835678	+	0.983236i
$271$	1.32638	−	1.14932i	0.0805721	−	0.0698161i	−0.613644	−	0.789583i	$-0.710297\pi$
$271$	1.32638	−	1.14932i	0.0805721	−	0.0698161i	0.694216	+	0.719767i	$0.255751\pi$
$272$	−2.59751	−	3.84330i	−0.157497	−	0.233034i
$273$	20.9506	+	25.6398i	1.26799	+	1.55179i
$274$	−1.76541	+	1.78595i	−0.106652	+	0.107893i
$275$	−0.579272	+	4.02892i	−0.0349314	+	0.242953i
$276$	−15.1437	−	4.73335i	−0.911546	−	0.284914i
$277$	0.306966	−	2.13499i	0.0184438	−	0.128279i	−0.978519	−	0.206155i	$-0.933905\pi$
$277$	0.306966	−	2.13499i	0.0184438	−	0.128279i	0.996963	+	0.0778760i	$0.0248138\pi$
$278$	−11.6151	+	21.5671i	−0.696626	+	1.29351i
$279$	−6.22792	+	2.41972i	−0.372856	+	0.144865i
$280$	11.9056	−	22.7325i	0.711493	−	1.35853i
$281$	19.7260	−	9.00855i	1.17675	−	0.537405i	0.271567	−	0.962420i	$-0.412458\pi$
$281$	19.7260	−	9.00855i	1.17675	−	0.537405i	0.905187	+	0.425014i	$0.139731\pi$
$282$	−12.0592	−	4.81836i	−0.718117	−	0.286929i
$283$	−4.25388	+	0.611616i	−0.252867	+	0.0363568i	−0.267583	−	0.963535i	$-0.586225\pi$
$283$	−4.25388	+	0.611616i	−0.252867	+	0.0363568i	0.0147156	+	0.999892i	$0.495316\pi$
$284$	−6.10900	−	0.806323i	−0.362502	−	0.0478464i
$285$	−0.914186	+	31.6123i	−0.0541517	+	1.87255i
$286$	0.690012	−	10.5009i	0.0408013	−	0.620932i
$287$	−4.16219	−	28.9487i	−0.245686	−	1.70879i
$288$	−6.38757	+	15.7226i	−0.376391	+	0.926461i
$289$	13.1699	−	8.46380i	0.774702	−	0.497871i
$290$	−23.3367	−	12.5681i	−1.37038	−	0.738026i
$291$	5.92107	−	2.49982i	0.347100	−	0.146542i
$292$	16.2879	−	14.4468i	0.953179	−	0.845437i
$293$	0.865289	−	0.395164i	0.0505507	−	0.0230857i	−0.389979	−	0.920824i	$-0.627518\pi$
$293$	0.865289	−	0.395164i	0.0505507	−	0.0230857i	0.440530	+	0.897738i	$0.354791\pi$
$294$	6.94270	−	1.34295i	0.404906	−	0.0783223i
$295$	18.9831	+	29.5383i	1.10524	+	1.71979i
$296$	−25.8143	+	6.08655i	−1.50043	+	0.353773i
$297$	5.14919	−	3.73284i	0.298786	−	0.216601i
$298$	−13.6884	+	3.06076i	−0.792948	+	0.177305i
$299$	11.5677	−	25.3296i	0.668975	−	1.46485i
$300$	9.58183	+	6.39533i	0.553207	+	0.369235i
$301$	0.580094	+	4.03464i	0.0334360	+	0.232553i
$302$	−2.69380	−	7.09672i	−0.155011	−	0.408371i
$303$	0.543292	−	0.327357i	0.0312113	−	0.0188062i
$304$	−22.7754	+	11.0450i	−1.30626	+	0.633473i
$305$		−	26.0479i		−	1.49150i
$306$	4.51425	+	1.95686i	0.258062	+	0.111866i
$307$	−27.2866	−	12.4614i	−1.55733	−	0.711207i	−0.563918	−	0.825831i	$-0.690707\pi$
$307$	−27.2866	−	12.4614i	−1.55733	−	0.711207i	−0.993409	+	0.114623i	$0.963434\pi$
$308$	−6.52293	−	4.08618i	−0.371678	−	0.232832i
$309$	−7.52048	−	0.217482i	−0.427825	−	0.0123721i
$310$	−7.24376	+	5.48828i	−0.411418	+	0.311713i
$311$	−11.6935	+	3.43353i	−0.663079	+	0.194698i	−0.595919	−	0.803045i	$-0.703212\pi$
$311$	−11.6935	+	3.43353i	−0.663079	+	0.194698i	−0.0671602	+	0.997742i	$0.521394\pi$
$312$	−25.9742	−	14.5752i	−1.47050	−	0.825158i
$313$	6.86146	−	7.91855i	0.387833	−	0.447583i	−0.527939	−	0.849282i	$-0.677035\pi$
$313$	6.86146	−	7.91855i	0.387833	−	0.447583i	0.915772	+	0.401700i	$0.131580\pi$
$314$	−3.82753	−	3.78351i	−0.216000	−	0.213516i
$315$	2.31017	+	27.1199i	0.130163	+	1.52803i
$316$	17.9972	−	11.8625i	1.01242	−	0.667317i
$317$	−5.96551	+	20.3167i	−0.335056	+	1.14110i	0.603900	+	0.797060i	$0.293613\pi$
$317$	−5.96551	+	20.3167i	−0.335056	+	1.14110i	−0.938956	+	0.344037i	$0.888205\pi$
$318$	−4.45193	−	23.0153i	−0.249652	−	1.29064i
$319$	−4.29830	+	6.68829i	−0.240659	+	0.374472i
$320$	−2.49028	+	22.9485i	−0.139211	+	1.28286i
$321$	−1.02038	+	1.49113i	−0.0569519	+	0.0832269i
$322$	−12.2996	−	16.2338i	−0.685431	−	0.904673i
$323$	3.04855	+	6.67540i	0.169626	+	0.371429i
$324$	−3.24955	−	17.7042i	−0.180531	−	0.983569i
$325$	−13.2401	+	15.2799i	−0.734431	+	0.847579i
$326$	0.563112	+	7.28119i	0.0311879	+	0.403268i
$327$	4.00429	+	3.67769i	0.221438	+	0.203377i
$328$	13.0068	+	22.8677i	0.718182	+	1.26266i
$329$	−9.01250	−	14.0237i	−0.496875	−	0.773153i
$330$	5.34291	−	6.80349i	0.294118	−	0.374520i
$331$	3.77505	−	12.8566i	0.207495	−	0.706664i	−0.788319	−	0.615266i	$-0.789048\pi$
$331$	3.77505	−	12.8566i	0.207495	−	0.706664i	0.995814	−	0.0913975i	$-0.0291334\pi$
$332$	31.9866	+	14.1629i	1.75549	+	0.777289i
$333$	19.6197	−	20.1599i	1.07515	−	1.10475i
$334$	5.78267	+	25.8614i	0.316414	+	1.41507i
$335$	−3.62103	−	23.3388i	−0.197838	−	1.27514i
$336$	−18.3941	+	11.6717i	−1.00348	+	0.636742i
$337$	2.13829	−	14.8722i	0.116480	−	0.810138i	−0.844902	−	0.534921i	$-0.820341\pi$
$337$	2.13829	−	14.8722i	0.116480	−	0.810138i	0.961382	−	0.275217i	$-0.0887497\pi$
$338$	20.1510	−	27.2457i	1.09607	−	1.48197i
$339$	−10.2110	−	6.98735i	−0.554584	−	0.379501i
$340$	6.63479	+	0.875721i	0.359822	+	0.0474926i
$341$	1.47376	+	2.29322i	0.0798087	+	0.124185i
$342$	14.0749	−	22.8625i	0.761085	−	1.23626i
$343$	−11.7643	−	5.37258i	−0.635213	−	0.290092i
$344$	−1.81279	−	3.18712i	−0.0977391	−	0.171838i
$345$	19.6062	−	11.8136i	1.05556	−	0.636022i
$346$	−2.66563	−	0.976703i	−0.143305	−	0.0525079i
$347$	−4.11493	−	9.01044i	−0.220901	−	0.483706i	0.766440	−	0.642316i	$-0.222026\pi$
$347$	−4.11493	−	9.01044i	−0.220901	−	0.483706i	−0.987341	+	0.158610i	$0.949299\pi$
$348$	11.8351	+	19.1376i	0.634430	+	1.02588i
$349$	−1.59785	−	0.469170i	−0.0855308	−	0.0251141i	0.238687	−	0.971097i	$-0.423283\pi$
$349$	−1.59785	−	0.469170i	−0.0855308	−	0.0251141i	−0.324218	+	0.945982i	$0.605101\pi$
$350$	5.24793	+	13.8255i	0.280514	+	0.739002i
$351$	31.5412	−	1.77031i	1.68355	−	0.0944919i
$352$	6.80528	+	1.27549i	0.362722	+	0.0679839i
$353$	−3.38943	+	11.5433i	−0.180401	+	0.614389i	0.818787	+	0.574097i	$0.194647\pi$
$353$	−3.38943	+	11.5433i	−0.180401	+	0.614389i	−0.999188	+	0.0402918i	$0.987171\pi$
$354$	−1.43837	−	29.7729i	−0.0764483	−	1.58241i
$355$	6.71854	−	5.82165i	0.356583	−	0.308981i
$356$	7.43567	+	4.65796i	0.394090	+	0.246871i
$357$	3.25959	+	5.40971i	0.172516	+	0.286312i
$358$	2.00966	−	2.71721i	0.106214	−	0.143609i
$359$	12.5429	−	3.68293i	0.661989	−	0.194377i	0.0665562	−	0.997783i	$-0.478799\pi$
$359$	12.5429	−	3.68293i	0.661989	−	0.194377i	0.595433	+	0.803405i	$0.296981\pi$
$360$	−10.8547	−	21.9457i	−0.572093	−	1.15664i
$361$	20.1919	−	5.92889i	1.06273	−	0.312047i
$362$	24.9995	+	24.7120i	1.31395	+	1.29883i
$363$	12.1212	+	11.1326i	0.636200	+	0.584310i
$364$	−16.2839	−	34.5920i	−0.853507	−	1.81311i
$365$			31.4101i			1.64408i
$366$	−11.0435	+	19.1576i	−0.577251	+	1.00139i
$367$	−0.311628	−	0.270027i	−0.0162668	−	0.0140953i	0.646689	−	0.762753i	$-0.276153\pi$
$367$	−0.311628	−	0.270027i	−0.0162668	−	0.0140953i	−0.662956	+	0.748658i	$0.730698\pi$
$368$	15.6374	+	9.54571i	0.815157	+	0.497605i
$369$	−24.6699	−	13.0391i	−1.28426	−	0.678788i
$370$	18.1432	−	33.6886i	0.943220	−	1.75139i
$371$	12.5006	−	27.3724i	0.648997	−	1.42111i
$372$	7.65446	−	0.965383i	0.396865	−	0.0500528i
$373$	10.4170			0.539370			0.269685	−	0.962949i	$-0.413080\pi$
$373$	10.4170			0.539370			0.269685	+	0.962949i	$0.413080\pi$
$374$	0.415341	−	1.96391i	0.0214767	−	0.101552i
$375$	8.09414	−	2.12454i	0.417980	−	0.109711i
$376$	12.1584	+	8.77662i	0.627021	+	0.452620i
$377$	−35.9224	+	16.4052i	−1.85010	+	0.844912i
$378$	9.79885	−	20.9254i	0.503998	−	1.07629i
$379$	6.32661	−	5.48204i	0.324976	−	0.281593i	−0.477058	−	0.878872i	$-0.658297\pi$
$379$	6.32661	−	5.48204i	0.324976	−	0.281593i	0.802034	+	0.597278i	$0.203751\pi$
$380$	9.88228	−	35.1555i	0.506950	−	1.80344i
$381$	−13.3677	+	3.50874i	−0.684848	+	0.179758i
$382$	7.99195	−	10.8057i	0.408904	−	0.552869i
$383$	4.09824	+	28.5039i	0.209410	+	1.45648i	0.775088	+	0.631853i	$0.217705\pi$
$383$	4.09824	+	28.5039i	0.209410	+	1.45648i	−0.565678	+	0.824626i	$0.691385\pi$
$384$	11.5609	−	15.8223i	0.589967	−	0.807427i
$385$	10.6548	−	3.12854i	0.543020	−	0.159445i
$386$	12.5180	−	34.1644i	0.637151	−	1.73892i
$387$	3.43830	+	1.81729i	0.174778	+	0.0923779i
$388$	−7.33318	+	1.14109i	−0.372286	+	0.0579301i
$389$	13.6091	−	6.21507i	0.690009	−	0.315116i	−0.0393719	−	0.999225i	$-0.512536\pi$
$389$	13.6091	−	6.21507i	0.690009	−	0.315116i	0.729380	+	0.684108i	$0.239808\pi$
$390$	40.5969	−	14.0814i	2.05570	−	0.713037i
$391$	2.87166	−	4.46839i	0.145226	−	0.225976i
$392$	−8.15341	−	0.441092i	−0.411810	−	0.0222785i
$393$	−4.65772	−	2.29208i	−0.234951	−	0.115620i
$394$	2.28183	−	10.7895i	0.114957	−	0.543566i
$395$	−4.42562	+	30.7809i	−0.222677	+	1.54875i
$396$	−6.81404	+	2.73859i	−0.342418	+	0.137619i
$397$	−21.0651	−	13.5377i	−1.05723	−	0.679439i	−0.108039	−	0.994147i	$-0.534457\pi$
$397$	−21.0651	−	13.5377i	−1.05723	−	0.679439i	−0.949189	+	0.314707i	$0.898094\pi$
$398$	29.1624	+	1.91625i	1.46178	+	0.0960530i
$399$	31.7500	−	13.4045i	1.58949	−	0.671066i
$400$	−8.94136	−	9.84892i	−0.447068	−	0.492446i
$401$		−	0.408372i		−	0.0203931i	−0.999948	−	0.0101966i	$-0.996754\pi$
$401$		−	0.408372i		−	0.0203931i	0.999948	−	0.0101966i	$-0.00324572\pi$
$402$	−7.23170	+	18.7003i	−0.360685	+	0.932688i
$403$			13.5404i			0.674494i
$404$	−0.700317	+	0.214463i	−0.0348421	+	0.0106699i
$405$	22.2194	+	13.4413i	1.10409	+	0.667904i
$406$	−1.89391	+	28.8224i	−0.0939931	+	1.43043i
$407$	−9.65514	−	6.20498i	−0.478588	−	0.307570i
$408$	−4.50845	−	3.45700i	−0.223202	−	0.171147i
$409$	−1.29946	+	9.03791i	−0.0642539	+	0.446896i	0.932143	+	0.362089i	$0.117936\pi$
$409$	−1.29946	+	9.03791i	−0.0642539	+	0.446896i	−0.996397	+	0.0848068i	$0.972973\pi$
$410$	−37.1332	−	7.85316i	−1.83388	−	0.387840i
$411$	−1.35800	+	2.75958i	−0.0669850	+	0.136120i
$412$	8.36338	+	2.35097i	0.412034	+	0.115824i
$413$	20.6867	−	32.1891i	1.01792	−	1.58392i
$414$	−19.4284	+	0.376242i	−0.954856	+	0.0184913i
$415$	−45.9076	+	20.9653i	−2.25352	+	1.02915i
$416$	25.0118	+	23.6052i	1.22630	+	1.15734i
$417$	−5.12624	+	29.5600i	−0.251033	+	1.44756i
$418$	−10.2849	−	3.76843i	−0.503049	−	0.184320i
$419$	32.8539	−	9.64678i	1.60502	−	0.471276i	0.648082	−	0.761571i	$-0.275571\pi$
$419$	32.8539	−	9.64678i	1.60502	−	0.471276i	0.956937	+	0.290295i	$0.0937533\pi$
$420$	5.01155	−	31.0266i	0.244539	−	1.51394i
$421$	1.51562	+	10.5414i	0.0738667	+	0.513754i	0.992842	+	0.119438i	$0.0381094\pi$
$421$	1.51562	+	10.5414i	0.0738667	+	0.513754i	−0.918975	+	0.394316i	$0.870982\pi$
$422$	18.6005	+	13.7570i	0.905459	+	0.669680i
$423$	−15.8782	−	0.919122i	−0.772025	−	0.0446892i
$424$	−1.46224	+	27.0289i	−0.0710126	+	1.31264i
$425$	−2.91463	+	2.52554i	−0.141380	+	0.122507i
$426$	−7.40951	+	1.43325i	−0.358992	+	0.0694410i
$427$	−25.8203	+	11.7918i	−1.24953	+	0.570643i
$428$	1.56085	−	1.38442i	0.0754464	−	0.0669184i
$429$	−3.27217	−	12.4664i	−0.157982	−	0.601883i
$430$	5.17534	+	1.09451i	0.249577	+	0.0527820i
$431$	−32.4572			−1.56341			−0.781705	−	0.623648i	$-0.785650\pi$
$431$	−32.4572			−1.56341			−0.781705	+	0.623648i	$0.785650\pi$
$432$	−1.32088	+	20.7426i	−0.0635511	+	0.997979i
$433$	4.10029	−	8.97838i	0.197047	−	0.431473i	−0.785155	−	0.619299i	$-0.787417\pi$
$433$	4.10029	−	8.97838i	0.197047	−	0.431473i	0.982202	+	0.187826i	$0.0601441\pi$
$434$	8.71953	+	4.69595i	0.418551	+	0.225413i
$435$	−31.9855	−	5.54686i	−1.53359	−	0.265952i
$436$	−3.45500	−	5.24175i	−0.165465	−	0.251034i
$437$	−21.9044	−	18.9803i	−1.04783	−	0.907951i
$438$	13.3168	−	23.1014i	0.636303	−	1.10383i
$439$		−	18.6889i		−	0.891974i	−0.895039	−	0.445987i	$-0.852853\pi$
$439$		−	18.6889i		−	0.891974i	0.895039	−	0.445987i	$-0.147147\pi$
$440$	−7.89148	+	6.12401i	−0.376212	+	0.291951i
$441$	7.54421	−	4.25344i	0.359248	−	0.202545i
$442$	7.00961	−	7.09118i	0.333413	−	0.337293i
$443$	20.7872	−	6.10366i	0.987628	−	0.289994i	0.252258	−	0.967660i	$-0.418827\pi$
$443$	20.7872	−	6.10366i	0.987628	−	0.289994i	0.735370	+	0.677666i	$0.237009\pi$
$444$	−27.6268	+	17.0851i	−1.31111	+	0.810821i
$445$	−12.1457	+	3.56631i	−0.575763	+	0.169059i
$446$	5.55535	+	4.10875i	0.263053	+	0.194555i
$447$	−14.7142	+	8.86593i	−0.695956	+	0.419344i
$448$	23.8753	−	7.92015i	1.12800	−	0.374192i
$449$	−30.3955	+	26.3378i	−1.43445	+	1.24296i	−0.510814	+	0.859691i	$0.670656\pi$
$449$	−30.3955	+	26.3378i	−1.43445	+	1.24296i	−0.923637	+	0.383268i	$0.874799\pi$
$450$	13.6120	+	3.71214i	0.641678	+	0.174992i
$451$	−3.20736	+	10.9233i	−0.151029	+	0.514356i
$452$	9.48023	+	10.6884i	0.445913	+	0.502739i
$453$	−5.88245	−	7.19909i	−0.276382	−	0.338243i
$454$	2.19712	−	0.833992i	0.103116	−	0.0391412i
$455$	52.9246	+	15.5401i	2.48115	+	0.728530i
$456$	−22.1729	+	21.6662i	−1.03834	+	1.01461i
$457$	−3.84687	−	8.42347i	−0.179949	−	0.394033i	0.798065	−	0.602571i	$-0.205857\pi$
$457$	−3.84687	−	8.42347i	−0.179949	−	0.394033i	−0.978014	+	0.208538i	$0.933130\pi$
$458$	1.41506	−	3.86202i	0.0661216	−	0.180460i
$459$	6.00326	+	0.521983i	0.280208	+	0.0243641i
$460$	−25.2729	+	7.73947i	−1.17835	+	0.360855i
$461$	16.3644	+	7.47336i	0.762165	+	0.348069i	0.758285	−	0.651923i	$-0.226038\pi$
$461$	16.3644	+	7.47336i	0.762165	+	0.348069i	0.00388011	+	0.999992i	$0.498765\pi$
$462$	−9.16276	−	2.21632i	−0.426290	−	0.103113i
$463$	6.46873	+	10.0655i	0.300627	+	0.467785i	0.958399	−	0.285432i	$-0.0921371\pi$
$463$	6.46873	+	10.0655i	0.300627	+	0.467785i	−0.657771	+	0.753218i	$0.728501\pi$
$464$	−7.89492	−	24.7540i	−0.366513	−	1.14917i
$465$	−6.28580	+	9.18578i	−0.291497	+	0.425980i
$466$	24.1925	+	17.8928i	1.12069	+	0.828869i
$467$	2.40806	−	16.7485i	0.111432	−	0.775026i	−0.855097	−	0.518468i	$-0.826502\pi$
$467$	2.40806	−	16.7485i	0.111432	−	0.775026i	0.966529	−	0.256558i	$-0.0825885\pi$
$468$	−35.8281	−	6.85523i	−1.65615	−	0.316883i
$469$	−21.4957	+	14.1547i	−0.992578	+	0.653605i
$470$	−21.1122	+	4.72075i	−0.973835	+	0.217752i
$471$	−5.91415	−	2.91037i	−0.272510	−	0.134103i
$472$	−6.73156	+	33.7542i	−0.309845	+	1.55366i
$473$	0.447016	−	1.52240i	0.0205538	−	0.0699999i
$474$	16.3050	−	20.7623i	0.748914	−	0.953643i
$475$	11.3774	+	17.7036i	0.522032	+	0.812297i
$476$	−2.13546	−	6.97325i	−0.0978788	−	0.319619i
$477$	−14.1003	−	25.0094i	−0.645609	−	1.14510i
$478$	19.1316	−	1.47960i	0.875058	−	0.0676752i
$479$	−16.5552	+	19.1057i	−0.756426	+	0.872962i	−0.995175	−	0.0981191i	$-0.968717\pi$
$479$	−16.5552	+	19.1057i	−0.756426	+	0.872962i	0.238748	+	0.971081i	$0.423263\pi$
$480$	6.00977	+	27.6249i	0.274307	+	1.26090i
$481$	−23.6824	−	51.8572i	−1.07982	−	2.36449i
$482$	−21.3311	+	16.1616i	−0.971606	+	0.736143i
$483$	−20.5860	−	14.0869i	−0.936695	−	0.640978i
$484$	−10.4585	−	15.8671i	−0.475387	−	0.721232i
$485$	5.78859	−	9.00723i	0.262846	−	0.408997i
$486$	−10.6432	−	19.3060i	−0.482783	−	0.875740i
$487$	−5.86379	+	19.9702i	−0.265714	+	0.904937i	0.713251	+	0.700908i	$0.247222\pi$
$487$	−5.86379	+	19.9702i	−0.265714	+	0.904937i	−0.978965	+	0.204029i	$0.934596\pi$
$488$	17.7389	−	18.3655i	0.803004	−	0.831369i
$489$	3.47883	+	8.23996i	0.157318	+	0.372624i
$490$	8.28150	−	8.37786i	0.374120	−	0.378473i
$491$	−7.41108	+	8.55284i	−0.334457	+	0.385984i	−0.897921	−	0.440156i	$-0.854923\pi$
$491$	−7.41108	+	8.55284i	−0.334457	+	0.385984i	0.563464	+	0.826141i	$0.309468\pi$
$492$	23.9811	+	21.5191i	1.08115	+	0.970154i
$493$	−7.22775	+	2.12226i	−0.325521	+	0.0955817i
$494$	−32.8571	−	43.3668i	−1.47831	−	1.95116i
$495$	3.56740	−	9.97622i	0.160343	−	0.448398i
$496$	−8.84492	−	1.06348i	−0.397149	−	0.0477516i
$497$	−8.81223	−	4.02441i	−0.395283	−	0.180520i
$498$	42.6526	+	4.04383i	1.91131	+	0.181208i
$499$		−	2.33587i		−	0.104568i	−0.998632	−	0.0522839i	$-0.983350\pi$
$499$		−	2.33587i		−	0.104568i	0.998632	−	0.0522839i	$-0.0166501\pi$
$500$	−9.66226	+	0.111787i	−0.432109	+	0.00499927i
$501$	16.7503	+	27.7993i	0.748349	+	1.24198i
$502$	40.5568	−	15.3947i	1.81014	−	0.687099i
$503$	−4.16084	−	28.9393i	−0.185523	−	1.29034i	−0.843429	−	0.537240i	$-0.819467\pi$
$503$	−4.16084	−	28.9393i	−0.185523	−	1.29034i	0.657906	−	0.753100i	$-0.271442\pi$
$504$	−16.8401	+	20.6946i	−0.750119	+	0.921810i
$505$	0.438954	−	0.961175i	0.0195332	−	0.0427717i
$506$	1.73001	+	7.73699i	0.0769084	+	0.343951i
$507$	12.8393	−	39.4682i	0.570213	−	1.75284i
$508$	15.9575	−	0.184619i	0.707999	−	0.00819116i
$509$	14.2142	+	22.1178i	0.630035	+	0.980353i	0.998709	+	0.0507945i	$0.0161754\pi$
$509$	14.2142	+	22.1178i	0.630035	+	0.980353i	−0.368674	+	0.929559i	$0.620188\pi$
$510$	8.04723	−	1.55660i	0.356337	−	0.0689275i
$511$	31.1357	−	14.2192i	1.37736	−	0.629019i
$512$	−17.3840	+	14.4843i	−0.768272	+	0.640123i
$513$	7.48126	−	32.0192i	0.330306	−	1.41368i
$514$	−14.6852	+	27.2677i	−0.647735	+	1.20273i
$515$	−10.5439	+	6.77613i	−0.464618	+	0.298592i
$516$	−3.34230	−	2.99916i	−0.147136	−	0.132031i
$517$	0.923475	+	6.42291i	0.0406144	+	0.282479i
$518$	−41.6076	−	2.73402i	−1.82813	−	0.120126i
$519$	−3.47552	−	0.100507i	−0.152558	−	0.00441178i
$520$	−49.4218	+	4.39790i	−2.16729	+	0.192861i
$521$	−24.6454	+	3.54347i	−1.07973	+	0.155242i	−0.659150	−	0.752012i	$-0.729084\pi$
$521$	−24.6454	+	3.54347i	−1.07973	+	0.155242i	−0.420583	+	0.907254i	$0.638174\pi$
$522$	21.1729	+	17.6404i	0.926712	+	0.772099i
$523$	35.4589	−	16.1935i	1.55051	−	0.708094i	0.557952	−	0.829873i	$-0.311587\pi$
$523$	35.4589	−	16.1935i	1.55051	−	0.708094i	0.992557	+	0.121779i	$0.0388600\pi$
$524$	4.57524	+	3.87271i	0.199870	+	0.169180i
$525$	11.4599	+	14.0249i	0.500150	+	0.612096i
$526$	2.29590	+	1.23647i	0.100106	+	0.0539126i
$527$	−0.367571	+	2.55651i	−0.0160117	+	0.111364i
$528$	8.40037	−	1.15834i	0.365579	−	0.0504101i
$529$	0.287744	−	2.00131i	0.0125106	−	0.0870133i
$530$	−27.7730	−	27.4535i	−1.20638	−	1.19250i
$531$	−13.2211	−	34.0286i	−0.573746	−	1.47672i
$532$	−39.3220	+	6.11876i	−1.70482	+	0.265282i
$533$	−42.7366	+	37.0315i	−1.85113	+	1.60401i
$534$	10.4449	+	2.52645i	0.451995	+	0.109330i
$535$			3.00998i			0.130133i
$536$	13.3409	−	18.9214i	0.576241	−	0.817280i
$537$	1.28046	−	3.93616i	0.0552561	−	0.169858i
$538$	0.122394	+	1.58259i	0.00527678	+	0.0682302i
$539$	−2.31391	−	2.67039i	−0.0996671	−	0.115022i
$540$	−21.1234	−	21.2829i	−0.909005	−	0.915872i
$541$	5.67907	+	3.64972i	0.244162	+	0.156914i	0.656999	−	0.753891i	$-0.271826\pi$
$541$	5.67907	+	3.64972i	0.244162	+	0.156914i	−0.412837	+	0.910805i	$0.635462\pi$
$542$	−1.74488	+	1.76518i	−0.0749489	+	0.0758210i
$543$	38.6283	+	19.0091i	1.65770	+	0.815757i
$544$	4.08160	+	5.13581i	0.174997	+	0.220196i
$545$	8.96506	+	1.28898i	0.384021	+	0.0552139i
$546$	−32.3363	−	33.8676i	−1.38387	−	1.44940i
$547$	−16.2115	+	25.2256i	−0.693154	+	1.07857i	0.299085	+	0.954226i	$0.403319\pi$
$547$	−16.2115	+	25.2256i	−0.693154	+	1.07857i	−0.992239	+	0.124343i	$0.960318\pi$
$548$	2.29448	−	2.71071i	0.0980153	−	0.115796i
$549$	−5.39693	+	26.5393i	−0.230335	+	1.13267i
$550$	0.377434	−	5.74396i	0.0160938	−	0.244923i
$551$	5.84980	+	40.6863i	0.249210	+	1.73329i
$552$	21.8689	+	5.02266i	0.930801	+	0.213779i
$553$	32.5154	−	9.54738i	1.38269	−	0.405996i
$554$	−0.200009	+	3.04382i	−0.00849755	+	0.129320i
$555$	8.00739	−	46.1739i	0.339895	−	1.95997i
$556$	14.0255	−	31.6762i	0.594813	−	1.34337i
$557$	−10.4423	−	16.2486i	−0.442455	−	0.688474i	0.546372	−	0.837543i	$-0.316009\pi$
$557$	−10.4423	−	16.2486i	−0.442455	−	0.688474i	−0.988827	+	0.149069i	$0.952372\pi$
$558$	8.51752	−	4.09095i	0.360575	−	0.173184i
$559$	5.95629	−	5.16116i	0.251924	−	0.218294i
$560$	−14.3080	+	33.3512i	−0.604621	+	1.40935i
$561$	−0.279391	−	2.44257i	−0.0117959	−	0.103125i
$562$	−26.8313	+	14.8531i	−1.13181	+	0.626542i
$563$	7.77078	−	4.99397i	0.327499	−	0.210471i	−0.366550	−	0.930398i	$-0.619461\pi$
$563$	7.77078	−	4.99397i	0.327499	−	0.210471i	0.694049	+	0.719927i	$0.255825\pi$
$564$	17.5290	+	5.47889i	0.738103	+	0.230703i
$565$	−20.6118			−0.867144
$566$	5.93129	−	1.32625i	0.249311	−	0.0557465i
$567$	3.26528	−	28.1101i	0.137129	−	1.18051i
$568$	8.70164	+	0.470751i	0.365113	+	0.0197523i
$569$	−18.9251	+	2.72102i	−0.793383	+	0.114071i	−0.527077	−	0.849817i	$-0.676712\pi$
$569$	−18.9251	+	2.72102i	−0.793383	+	0.114071i	−0.266306	+	0.963889i	$0.585803\pi$
$570$	−2.15822	−	44.6732i	−0.0903977	−	1.87115i
$571$	19.4665	+	16.8678i	0.814647	+	0.705896i	0.958931	−	0.283641i	$-0.0915423\pi$
$571$	19.4665	+	16.8678i	0.814647	+	0.705896i	−0.144284	+	0.989536i	$0.546088\pi$
$572$	0.172172	+	14.8816i	0.00719886	+	0.622230i
$573$	5.09210	−	15.6532i	0.212726	−	0.653922i
$574$	9.02546	+	40.3639i	0.376716	+	1.68475i
$575$	6.32746	−	13.8552i	0.263873	−	0.577802i
$576$	7.29200	−	22.8654i	0.303833	−	0.952725i
$577$	−30.0049	+	8.81024i	−1.24912	+	0.366775i	−0.838435	−	0.545002i	$-0.816529\pi$
$577$	−30.0049	+	8.81024i	−1.24912	+	0.366775i	−0.410686	+	0.911777i	$0.634711\pi$
$578$	−17.6467	+	13.3701i	−0.734006	+	0.556124i
$579$	1.28816	−	44.5444i	0.0535342	−	1.85120i
$580$	34.2754	+	15.1763i	1.42321	+	0.630162i
$581$	41.5643	+	36.0156i	1.72438	+	1.49418i
$582$	−8.07614	+	4.17043i	−0.334767	+	0.172870i
$583$	−8.85246	+	7.67070i	−0.366631	+	0.317688i
$584$	−21.3906	+	22.1462i	−0.885151	+	0.916418i
$585$	41.6979	−	32.1073i	1.72400	−	1.32747i
$586$	−1.17697	+	0.651540i	−0.0486201	+	0.0269149i
$587$	17.2831	+	11.1072i	0.713350	+	0.458443i	0.846318	−	0.532678i	$-0.178814\pi$
$587$	17.2831	+	11.1072i	0.713350	+	0.458443i	−0.132968	+	0.991120i	$0.542451\pi$
$588$	−9.64278	+	2.65064i	−0.397661	+	0.109310i
$589$	13.5227	+	3.97062i	0.557193	+	0.163607i
$590$	−29.9873	−	39.5790i	−1.23456	−	1.62944i
$591$	−1.53494	−	13.4191i	−0.0631388	−	0.551990i
$592$	35.7345	−	11.3970i	1.46868	−	0.468415i
$593$	10.3713	+	8.98675i	0.425897	+	0.369041i	0.841275	−	0.540607i	$-0.181805\pi$
$593$	10.3713	+	8.98675i	0.425897	+	0.369041i	−0.415379	+	0.909649i	$0.636351\pi$
$594$	−6.85332	+	5.82481i	−0.281195	+	0.238995i
$595$	9.57068	+	4.37078i	0.392360	+	0.179185i
$596$	18.9669	−	5.80836i	0.776916	−	0.237920i
$597$	34.6208	−	9.08723i	1.41693	−	0.371915i
$598$	−13.5483	+	36.9763i	−0.554032	+	1.51207i
$599$	17.6994	+	5.19701i	0.723177	+	0.212344i	0.622550	−	0.782580i	$-0.286097\pi$
$599$	17.6994	+	5.19701i	0.723177	+	0.212344i	0.100627	+	0.994924i	$0.467915\pi$
$600$	−14.2078	−	7.97257i	−0.580031	−	0.325479i
$601$	−1.32478	+	9.21402i	−0.0540387	+	0.375848i	0.944799	+	0.327650i	$0.106257\pi$
$601$	−1.32478	+	9.21402i	−0.0540387	+	0.375848i	−0.998838	+	0.0481974i	$0.984652\pi$
$602$	−1.25790	−	5.62560i	−0.0512681	−	0.229282i
$603$	−1.14629	+	24.5293i	−0.0466807	+	0.998910i
$604$	4.57215	+	9.71265i	0.186038	+	0.395202i
$605$	27.1378	+	3.90183i	1.10331	+	0.158632i
$606$	−0.730346	+	0.520819i	−0.0296683	+	0.0211568i
$607$	0.934561	−	3.18282i	0.0379327	−	0.129187i	−0.938350	−	0.345687i	$-0.887646\pi$
$607$	0.934561	−	3.18282i	0.0379327	−	0.129187i	0.976283	+	0.216500i	$0.0694641\pi$
$608$	30.9090	−	18.0570i	1.25352	−	0.732309i
$609$	8.98127	+	34.2171i	0.363939	+	1.38655i
$610$	2.84044	+	36.7277i	0.115006	+	1.48706i
$611$	−13.3896	+	29.3192i	−0.541687	+	1.18613i
$612$	−6.57849	−	2.26692i	−0.265920	−	0.0916347i
$613$	−5.79201	+	6.68434i	−0.233937	+	0.269978i	−0.860565	−	0.509341i	$-0.829889\pi$
$613$	−5.79201	+	6.68434i	−0.233937	+	0.269978i	0.626628	+	0.779319i	$0.284435\pi$
$614$	39.8330	+	14.5950i	1.60753	+	0.589008i
$615$	−46.1835	+	5.28265i	−1.86230	+	0.213017i
$616$	9.64293	+	5.05023i	0.388525	+	0.203479i
$617$	12.1544	−	41.3942i	0.489319	−	1.66647i	−0.231103	−	0.972929i	$-0.574233\pi$
$617$	12.1544	−	41.3942i	0.489319	−	1.66647i	0.720421	−	0.693537i	$-0.243948\pi$
$618$	10.6276	−	0.513433i	0.427505	−	0.0206533i
$619$	−6.59804	+	10.2668i	−0.265198	+	0.412656i	−0.948158	−	0.317800i	$-0.897056\pi$
$619$	−6.59804	+	10.2668i	−0.265198	+	0.412656i	0.682960	+	0.730456i	$0.260692\pi$
$620$	9.61524	−	8.52839i	0.386157	−	0.342509i
$621$	−22.4237	+	7.97417i	−0.899831	+	0.319992i
$622$	16.1135	−	6.11643i	0.646092	−	0.245246i
$623$	9.03346	+	10.4252i	0.361918	+	0.417675i
$624$	38.2131	+	17.7187i	1.52975	+	0.709314i
$625$	20.0181	−	23.1021i	0.800723	−	0.924084i
$626$	−8.81119	+	11.9134i	−0.352166	+	0.476155i
$627$	−13.4097	−	0.387789i	−0.535530	−	0.0154868i
$628$	5.80941	+	4.91737i	0.231821	+	0.196225i
$629$	−3.06367	−	10.4339i	−0.122156	−	0.416027i
$630$	−6.21468	−	37.9872i	−0.247599	−	1.51345i
$631$	−35.9001	−	16.3950i	−1.42916	−	0.652675i	−0.457532	−	0.889193i	$-0.651266\pi$
$631$	−35.9001	−	16.3950i	−1.42916	−	0.652675i	−0.971627	+	0.236518i	$0.923994\pi$
$632$	−24.0825	+	18.6887i	−0.957950	+	0.743396i
$633$	26.9448	+	8.76533i	1.07096	+	0.348391i
$634$	6.19592	−	29.2971i	0.246072	−	1.16354i
$635$	−15.0771	+	17.4000i	−0.598318	+	0.690496i
$636$	8.78697	+	31.9662i	0.348426	+	1.26754i
$637$	−2.49781	−	17.3726i	−0.0989668	−	0.688329i
$638$	5.33129	−	9.89923i	0.211068	−	0.391914i
$639$	−8.05147	+	4.53943i	−0.318511	+	0.179577i
$640$	1.00884	−	32.6290i	0.0398778	−	1.28978i
$641$		−	11.1520i		−	0.440478i	−0.975446	−	0.220239i	$-0.929316\pi$
$641$		−	11.1520i		−	0.440478i	0.975446	−	0.220239i	$-0.0706838\pi$
$642$	1.27613	−	2.21377i	0.0503650	−	0.0873706i
$643$	18.0082	+	28.0213i	0.710173	+	1.10505i	0.989455	+	0.144842i	$0.0462674\pi$
$643$	18.0082	+	28.0213i	0.710173	+	1.10505i	−0.279281	+	0.960209i	$0.590096\pi$
$644$	19.1127	+	21.5484i	0.753148	+	0.849128i
$645$	6.43669	−	0.736255i	0.253444	−	0.0289900i
$646$	−5.02640	−	9.07990i	−0.197761	−	0.357244i
$647$	−25.5572	−	29.4946i	−1.00476	−	1.15955i	−0.987165	−	0.159705i	$-0.948946\pi$
$647$	−25.5572	−	29.4946i	−1.00476	−	1.15955i	−0.0175914	−	0.999845i	$-0.505600\pi$
$648$	6.51247	+	24.6087i	0.255834	+	0.966721i
$649$	−12.5299	+	8.05246i	−0.491841	+	0.316087i
$650$	17.0024	−	22.9886i	0.666890	−	0.901686i
$651$	11.9511	+	2.07253i	0.468399	+	0.0812289i
$652$	−1.58798	−	10.2051i	−0.0621901	−	0.399662i
$653$	8.15336	+	27.7678i	0.319066	+	1.08664i	0.950375	+	0.311107i	$0.100700\pi$
$653$	8.15336	+	27.7678i	0.319066	+	1.08664i	−0.631309	+	0.775531i	$0.717482\pi$
$654$	−6.04710	−	4.74890i	−0.236460	−	0.185697i
$655$	−8.55985	+	1.23072i	−0.334461	+	0.0480882i
$656$	−20.8333	−	30.8252i	−0.813405	−	1.20352i
$657$	6.50793	−	32.0026i	0.253899	−	1.24854i
$658$	14.2369	+	18.7907i	0.555012	+	0.732538i
$659$	−3.50931	−	2.25530i	−0.136703	−	0.0878539i	0.470502	−	0.882399i	$-0.344073\pi$
$659$	−3.50931	−	2.25530i	−0.136703	−	0.0878539i	−0.607205	+	0.794545i	$0.707709\pi$
$660$	−6.79162	+	10.1756i	−0.264364	+	0.396084i
$661$	−5.15792	+	35.8741i	−0.200620	+	1.39534i	0.601831	+	0.798623i	$0.294438\pi$
$661$	−5.15792	+	35.8741i	−0.200620	+	1.39534i	−0.802451	+	0.596718i	$0.796471\pi$
$662$	−3.92085	+	18.5395i	−0.152388	+	0.720560i
$663$	5.39197	−	10.9570i	0.209407	−	0.425535i
$664$	−46.6456	−	16.4817i	−1.81020	−	0.639613i
$665$	31.0396	−	48.2985i	1.20366	−	1.87294i
$666$	−25.4655	+	30.5649i	−0.986766	+	1.18437i
$667$	22.4844	−	19.4829i	0.870600	−	0.754379i
$668$	−10.9737	−	35.8340i	−0.424585	−	1.38646i
$669$	8.04749	+	2.61791i	0.311134	+	0.101214i
$670$	7.65068	+	32.5129i	0.295572	+	1.25608i
$671$	11.0493			0.426553
$672$	24.6630	−	18.4629i	0.951394	−	0.712222i
$673$	22.9698	+	26.5085i	0.885420	+	1.02183i	0.999598	+	0.0283685i	$0.00903118\pi$
$673$	22.9698	+	26.5085i	0.885420	+	1.02183i	−0.114178	+	0.993460i	$0.536423\pi$
$674$	−1.39324	+	21.2030i	−0.0536656	+	0.816708i
$675$	17.2529	−	0.968350i	0.664066	−	0.0372718i
$676$	−25.4419	+	40.6139i	−0.978535	+	1.56207i
$677$	29.2650	+	4.20768i	1.12475	+	0.161714i	0.679487	−	0.733687i	$-0.262202\pi$
$677$	29.2650	+	4.20768i	1.12475	+	0.161714i	0.445259	+	0.895402i	$0.353111\pi$
$678$	15.1595	+	8.73871i	0.582196	+	0.335608i
$679$	−11.5490	−	1.66049i	−0.443210	−	0.0637239i
$680$	−9.45057	−	0.511267i	−0.362413	−	0.0196062i
$681$	2.22881	−	1.82119i	0.0854082	−	0.0697880i
$682$	−2.32808	−	3.07274i	−0.0891467	−	0.117661i
$683$	−17.8066	−	38.9911i	−0.681352	−	1.49195i	−0.861204	−	0.508259i	$-0.830289\pi$
$683$	−17.8066	−	38.9911i	−0.681352	−	1.49195i	0.179852	−	0.983694i	$-0.442438\pi$
$684$	−17.3526	+	33.7711i	−0.663494	+	1.29127i
$685$	0.729170	+	5.07149i	0.0278601	+	0.193772i
$686$	17.1736	+	6.29250i	0.655690	+	0.240249i
$687$	0.145617	−	5.03539i	0.00555563	−	0.192112i
$688$	2.90358	+	4.29617i	0.110698	+	0.163790i
$689$	−57.5910	+	8.28034i	−2.19404	+	0.315456i
$690$	−26.3565	+	18.7952i	−1.00338	+	0.715521i
$691$	−10.8083	−	16.8181i	−0.411169	−	0.639791i	0.572474	−	0.819923i	$-0.305984\pi$
$691$	−10.8083	−	16.8181i	−0.411169	−	0.639791i	−0.983642	+	0.180132i	$0.942347\pi$
$692$	3.86506	+	1.08648i	0.146927	+	0.0413016i
$693$	−11.5040	+	0.979952i	−0.437001	+	0.0372253i
$694$	6.78462	+	12.2560i	0.257541	+	0.465232i
$695$	20.7619	+	45.4622i	0.787544	+	1.72448i
$696$	−18.7745	−	25.6934i	−0.711644	−	0.973907i
$697$	−9.07423	+	5.83166i	−0.343711	+	0.220890i
$698$	2.30413	+	0.487292i	0.0872127	+	0.0184443i
$699$	35.0453	+	11.4005i	1.32553	+	0.431206i
$700$	−8.90722	−	18.9217i	−0.336661	−	0.715172i
$701$	20.2454	+	9.24578i	0.764659	+	0.349208i	0.759269	−	0.650777i	$-0.225557\pi$
$701$	20.2454	+	9.24578i	0.764659	+	0.349208i	0.00539056	+	0.999985i	$0.498284\pi$
$702$	−44.2802	+	5.93560i	−1.67125	+	0.224025i
$703$	−58.7342	+	8.44471i	−2.21520	+	0.318498i
$704$	−9.73455	−	1.05635i	−0.366885	−	0.0398128i
$705$	−22.6943	+	13.6743i	−0.854717	+	0.515004i
$706$	3.52034	−	16.6457i	0.132490	−	0.626470i
$707$	−1.15149			−0.0433062
$708$	5.27474	+	41.8231i	0.198237	+	1.57181i
$709$	−3.34509	+	7.32472i	−0.125627	+	0.275086i	−0.961987	−	0.273096i	$-0.911952\pi$
$709$	−3.34509	+	7.32472i	−0.125627	+	0.275086i	0.836359	+	0.548181i	$0.184680\pi$
$710$	−8.83833	+	8.94118i	−0.331697	+	0.335556i
$711$	10.8867	−	30.4445i	0.408282	−	1.14176i
$712$	−10.9923	−	5.75690i	−0.411952	−	0.215749i
$713$	−2.87389	−	9.78759i	−0.107628	−	0.366548i
$714$	−5.18594	−	7.27226i	−0.194079	−	0.272157i
$715$	−16.2268	−	14.0606i	−0.606847	−	0.525836i
$716$	−2.53732	+	4.05043i	−0.0948243	+	0.151372i
$717$	21.6508	−	9.14075i	0.808563	−	0.341368i
$718$	−17.2839	+	6.56070i	−0.645030	+	0.244843i
$719$	−6.70114	−	1.96763i	−0.249910	−	0.0733803i	0.154378	−	0.988012i	$-0.450663\pi$
$719$	−6.70114	−	1.96763i	−0.249910	−	0.0733803i	−0.404288	+	0.914632i	$0.632481\pi$
$720$	17.6983	+	29.7599i	0.659576	+	1.10909i
$721$	11.4901	+	7.38423i	0.427913	+	0.275003i
$722$	−27.8242	+	10.5616i	−1.03551	+	0.393062i
$723$	−18.5102	+	27.0499i	−0.688401	+	1.00600i
$724$	−37.9442	−	32.1179i	−1.41018	−	1.19365i
$725$	−19.6494	+	8.97360i	−0.729762	+	0.333271i
$726$	−18.3050	−	14.3752i	−0.679361	−	0.533515i
$727$	8.73933	+	7.57268i	0.324124	+	0.280855i	0.801689	−	0.597741i	$-0.203935\pi$
$727$	8.73933	+	7.57268i	0.324124	+	0.280855i	−0.477565	+	0.878596i	$0.658480\pi$
$728$	26.7325	+	46.9991i	0.990771	+	1.74190i
$729$	−19.8536	−	18.2985i	−0.735317	−	0.677724i
$730$	−3.42517	−	44.2883i	−0.126771	−	1.63918i
$731$	1.26470	−	0.812770i	0.0467765	−	0.0300614i
$732$	13.4822	−	28.2166i	0.498318	−	1.04291i
$733$	−31.0575	−	9.11932i	−1.14714	−	0.336830i	−0.347715	−	0.937600i	$-0.613042\pi$
$733$	−31.0575	−	9.11932i	−1.14714	−	0.336830i	−0.799421	+	0.600771i	$0.794860\pi$
$734$	0.468841	+	0.346757i	0.0173053	+	0.0127990i
$735$	6.37033	−	12.9451i	0.234973	−	0.477489i
$736$	−23.0898	−	11.7543i	−0.851100	−	0.433268i
$737$	9.90011	−	1.53601i	0.364675	−	0.0565795i
$738$	36.2065	+	15.6950i	1.33278	+	0.577741i
$739$	4.90773	+	0.705625i	0.180534	+	0.0259568i	0.231989	−	0.972718i	$-0.425477\pi$
$739$	4.90773	+	0.705625i	0.180534	+	0.0259568i	−0.0514549	+	0.998675i	$0.516386\pi$
$740$	−21.9083	+	49.4795i	−0.805367	+	1.81890i
$741$	−54.9932	−	37.6317i	−2.02023	−	1.38244i
$742$	−14.6410	+	39.9584i	−0.537487	+	1.46692i
$743$	−3.80626	+	2.44613i	−0.139638	+	0.0897400i	−0.608595	−	0.793481i	$-0.708266\pi$
$743$	−3.80626	+	2.44613i	−0.139638	+	0.0897400i	0.468957	+	0.883221i	$0.344630\pi$
$744$	−10.6875	+	2.19589i	−0.391824	+	0.0805051i
$745$	−11.8883	+	26.0318i	−0.435555	+	0.953732i
$746$	−14.6879	+	1.13594i	−0.537764	+	0.0415896i
$747$	51.1174	−	11.8491i	1.87029	−	0.433534i
$748$	−0.371473	+	2.81442i	−0.0135824	+	0.102905i
$749$	2.98369	−	1.36260i	0.109021	−	0.0497884i
$750$	−11.1811	+	3.87825i	−0.408276	+	0.141614i
$751$	−2.67912	+	9.12423i	−0.0977623	+	0.332948i	−0.993822	−	0.110986i	$-0.964599\pi$
$751$	−2.67912	+	9.12423i	−0.0977623	+	0.332948i	0.896060	+	0.443934i	$0.146417\pi$
$752$	−18.1004	−	11.0492i	−0.660055	−	0.402924i
$753$	41.1418	−	33.6174i	1.49929	−	1.22509i
$754$	48.8618	−	27.0487i	1.77944	−	0.985054i
$755$	−14.8600	−	4.36330i	−0.540813	−	0.158797i
$756$	−11.5346	+	30.5735i	−0.419508	+	1.11195i
$757$	−6.49239	−	7.49262i	−0.235970	−	0.272324i	0.625397	−	0.780306i	$-0.284937\pi$
$757$	−6.49239	−	7.49262i	−0.235970	−	0.272324i	−0.861367	+	0.507983i	$0.830391\pi$
$758$	−8.32274	+	8.41959i	−0.302296	+	0.305813i
$759$	5.01122	+	8.31677i	0.181896	+	0.301879i
$760$	−10.1005	+	50.6470i	−0.366382	+	1.83716i
$761$	−1.48672	−	5.06329i	−0.0538934	−	0.183544i	0.928147	−	0.372213i	$-0.121401\pi$
$761$	−1.48672	−	5.06329i	−0.0538934	−	0.183544i	−0.982041	+	0.188669i	$0.939583\pi$
$762$	18.4659	−	6.40504i	0.668948	−	0.232030i
$763$	−2.78072	−	9.47025i	−0.100669	−	0.342846i
$764$	−10.0903	+	16.1076i	−0.365056	+	0.582752i
$765$	8.74444	−	4.93013i	0.316156	−	0.178249i
$766$	−8.88678	−	39.7436i	−0.321092	−	1.43600i
$767$	−73.9830			−2.67137
$768$	−14.5756	+	23.5702i	−0.525952	+	0.850515i
$769$	7.08308	−	8.17431i	0.255422	−	0.294773i	−0.613527	−	0.789673i	$-0.710250\pi$
$769$	7.08308	−	8.17431i	0.255422	−	0.294773i	0.868950	+	0.494900i	$0.164795\pi$
$770$	−14.6822	+	5.57312i	−0.529109	+	0.200841i
$771$	−6.48120	+	37.3733i	−0.233415	+	1.34597i
$772$	−13.9249	+	49.5369i	−0.501169	+	1.78287i
$773$	28.2008	+	12.8789i	1.01431	+	0.463221i	0.852013	−	0.523520i	$-0.175382\pi$
$773$	28.2008	+	12.8789i	1.01431	+	0.463221i	0.162300	+	0.986742i	$0.448109\pi$
$774$	−5.04618	−	2.18745i	−0.181381	−	0.0786261i
$775$			7.40653i			0.266050i
$776$	10.2154	−	2.40860i	0.366711	−	0.0864638i
$777$	−49.3954	+	12.9653i	−1.77205	+	0.465126i
$778$	−18.5111	+	10.2473i	−0.663656	+	0.367383i
$779$	24.4509	+	53.5400i	0.876045	+	1.91827i
$780$	−55.7062	+	24.2817i	−1.99460	+	0.869425i
$781$	2.46949	+	2.84994i	0.0883653	+	0.101979i
$782$	−3.56179	+	6.61359i	−0.127369	+	0.236501i
$783$	31.4396	+	12.2786i	1.12356	+	0.438803i
$784$	11.5444	−	0.267161i	0.412301	−	0.00954148i
$785$	−10.8689	+	1.56271i	−0.387927	+	0.0557754i
$786$	6.81735	+	2.72393i	0.243167	+	0.0971593i
$787$	−7.91079	−	26.9417i	−0.281989	−	0.960366i	−0.971687	−	0.236270i	$-0.924075\pi$
$787$	−7.91079	−	26.9417i	−0.281989	−	0.960366i	0.689698	−	0.724097i	$-0.257743\pi$
$788$	−2.04082	+	15.4620i	−0.0727013	+	0.550812i
$789$	3.14677	+	0.545707i	0.112028	+	0.0194277i
$790$	2.88359	−	43.8837i	0.102593	−	1.56131i
$791$	9.33084	+	20.4317i	0.331766	+	0.726467i
$792$	9.30918	−	4.60447i	0.330787	−	0.163613i
$793$	46.1714	+	29.6726i	1.63960	+	1.05370i
$794$	31.1781	+	16.7912i	1.10647	+	0.595896i
$795$	−42.9137	−	21.1179i	−1.52199	−	0.748975i
$796$	−41.3280	+	0.478143i	−1.46483	+	0.0169473i
$797$	−54.0498	−	7.77119i	−1.91454	−	0.275270i	−0.921075	−	0.389386i	$-0.872687\pi$
$797$	−54.0498	−	7.77119i	−1.91454	−	0.275270i	−0.993467	+	0.114116i	$0.963596\pi$
$798$	−43.3058	+	22.3627i	−1.53301	+	0.791630i
$799$	−3.32397	+	5.17219i	−0.117593	+	0.182979i
$800$	13.6813	+	12.9120i	0.483708	+	0.456507i
$801$	13.1137	−	1.11708i	0.463351	−	0.0394699i
$802$	0.0445316	+	0.575806i	0.00157247	+	0.0203324i
$803$	−13.3239			−0.470189
$804$	8.15751	−	27.1561i	0.287693	−	0.957723i
$805$	−41.5546			−1.46461
$806$	−1.47653	−	19.0920i	−0.0520086	−	0.672486i
$807$	0.756134	+	1.79098i	0.0266172	+	0.0630454i
$808$	0.964063	−	0.378760i	0.0339156	−	0.0133247i
$809$	15.2060	−	23.6611i	0.534616	−	0.831878i	−0.463925	−	0.885874i	$-0.653559\pi$
$809$	15.2060	−	23.6611i	0.534616	−	0.831878i	0.998541	+	0.0539960i	$0.0171958\pi$
$810$	−32.7951	−	16.5293i	−1.15230	−	0.580782i
$811$	38.7858	+	5.57656i	1.36196	+	0.195820i	0.784260	−	0.620433i	$-0.213043\pi$
$811$	38.7858	+	5.57656i	1.36196	+	0.195820i	0.577696	+	0.816252i	$0.303952\pi$
$812$	−0.472567	−	40.8461i	−0.0165839	−	1.43342i
$813$	−1.34220	+	2.72749i	−0.0470731	+	0.0956571i
$814$	14.2904	+	7.69618i	0.500879	+	0.269751i
$815$	12.5347	+	8.05559i	0.439073	+	0.282175i
$816$	6.73390	+	4.38275i	0.235734	+	0.153427i
$817$	−3.40778	−	7.46199i	−0.119223	−	0.261062i
$818$	0.846682	−	12.8852i	0.0296035	−	0.450520i
$819$	−50.7031	−	26.7988i	−1.77171	−	0.936425i
$820$	53.2143	+	7.02372i	1.85832	+	0.245279i
$821$	−9.26192	−	31.5432i	−0.323243	−	1.10087i	−0.947529	−	0.319669i	$-0.896428\pi$
$821$	−9.26192	−	31.5432i	−0.323243	−	1.10087i	0.624286	−	0.781196i	$-0.285390\pi$
$822$	1.61385	−	4.03910i	0.0562896	−	0.140880i
$823$	−53.1802	+	7.64615i	−1.85374	+	0.266528i	−0.976814	−	0.214089i	$-0.931322\pi$
$823$	−53.1802	+	7.64615i	−1.85374	+	0.266528i	−0.876930	+	0.480618i	$0.840413\pi$
$824$	−12.0488	−	2.40287i	−0.419739	−	0.0837079i
$825$	−1.78986	−	6.81907i	−0.0623150	−	0.237410i
$826$	−25.6581	+	47.6425i	−0.892761	+	1.65770i
$827$	−10.1412	−	11.7036i	−0.352645	−	0.406974i	0.551517	−	0.834163i	$-0.314049\pi$
$827$	−10.1412	−	11.7036i	−0.352645	−	0.406974i	−0.904162	+	0.427190i	$0.859504\pi$
$828$	27.3531	−	2.64911i	0.950587	−	0.0920630i
$829$	−4.88082	−	10.6875i	−0.169518	−	0.371192i	0.805738	−	0.592272i	$-0.201769\pi$
$829$	−4.88082	−	10.6875i	−0.169518	−	0.371192i	−0.975256	+	0.221080i	$0.929042\pi$
$830$	62.4437	−	34.5672i	2.16745	−	1.19985i
$831$	0.948479	+	3.61354i	0.0329024	+	0.125352i
$832$	−37.8407	−	30.5560i	−1.31189	−	1.05934i
$833$		−	3.34788i		−	0.115997i
$834$	4.00459	−	42.2387i	0.138668	−	1.46261i
$835$	49.1817	+	22.4605i	1.70200	+	0.777278i
$836$	14.9126	+	4.19197i	0.515764	+	0.144982i
$837$	8.30759	−	8.05667i	0.287152	−	0.278479i
$838$	−45.2722	+	17.1846i	−1.56390	+	0.593632i
$839$	−26.7199	+	30.8364i	−0.922472	+	1.06459i	0.0752522	+	0.997165i	$0.476024\pi$
$839$	−26.7199	+	30.8364i	−0.922472	+	1.06459i	−0.997724	+	0.0674251i	$0.978522\pi$
$840$	−3.68296	+	44.2941i	−0.127074	+	1.52829i
$841$	−13.1930			−0.454932
$842$	−3.28653	−	14.6981i	−0.113261	−	0.506529i
$843$	−25.4073	+	27.6636i	−0.875074	+	0.952785i
$844$	−27.7269	−	17.3691i	−0.954401	−	0.597869i
$845$	−19.4793	−	66.3404i	−0.670108	−	2.28218i
$846$	22.4886	−	0.435503i	0.773173	−	0.0149729i
$847$	−8.41740	−	28.6670i	−0.289225	−	0.985011i
$848$	−0.885651	−	38.2703i	−0.0304134	−	1.31421i
$849$	6.37576	−	3.84167i	0.218815	−	0.131846i
$850$	3.83423	−	3.87885i	0.131513	−	0.133043i
$851$	28.1252	+	32.4582i	0.964120	+	1.11265i
$852$	10.2911	−	2.82886i	0.352569	−	0.0969153i
$853$	26.3638	+	7.74110i	0.902679	+	0.265050i	0.699956	−	0.714186i	$-0.253203\pi$
$853$	26.3638	+	7.74110i	0.902679	+	0.265050i	0.202722	+	0.979236i	$0.435021\pi$
$854$	35.1209	−	19.4420i	1.20181	−	0.665293i
$855$	−19.8377	−	51.0587i	−0.678436	−	1.74617i
$856$	−2.04983	+	2.12224i	−0.0700619	+	0.0725367i
$857$	3.70615	−	12.6220i	0.126600	−	0.431159i	−0.871661	−	0.490109i	$-0.836957\pi$
$857$	3.70615	−	12.6220i	0.126600	−	0.431159i	0.998261	+	0.0589498i	$0.0187752\pi$
$858$	5.97319	+	17.2208i	0.203921	+	0.587910i
$859$	−13.4308	+	6.13365i	−0.458254	+	0.209278i	−0.631147	−	0.775663i	$-0.717416\pi$
$859$	−13.4308	+	6.13365i	−0.458254	+	0.209278i	0.172893	+	0.984941i	$0.444688\pi$
$860$	−7.41659	−	0.978911i	−0.252904	−	0.0333806i
$861$	26.1435	+	43.3885i	0.890969	+	1.47868i
$862$	45.7648	−	3.53936i	1.55876	−	0.120551i
$863$	−9.61737	+	21.0591i	−0.327379	+	0.716860i	−0.999727	−	0.0233752i	$-0.992559\pi$
$863$	−9.61737	+	21.0591i	−0.327379	+	0.716860i	0.672348	+	0.740236i	$0.265286\pi$
$864$	−0.399461	−	29.3912i	−0.0135900	−	0.999908i
$865$	−4.87275	+	3.13152i	−0.165678	+	0.106475i
$866$	−4.80236	+	13.1067i	−0.163191	+	0.445383i
$867$	−15.3130	+	22.3777i	−0.520056	+	0.759986i
$868$	−12.8066	−	5.67047i	−0.434686	−	0.192468i
$869$	−13.0570	−	1.87731i	−0.442927	−	0.0636833i
$870$	45.7046	+	4.33318i	1.54953	+	0.146909i
$871$	45.4943	+	20.1680i	1.54151	+	0.683367i
$872$	5.44316	+	7.01413i	0.184329	+	0.237528i
$873$	−7.76401	+	7.97777i	−0.262772	+	0.270007i
$874$	32.9550	+	24.3737i	1.11472	+	0.824452i
$875$	−14.5764	−	4.28001i	−0.492771	−	0.144691i
$876$	−16.2577	+	34.0252i	−0.549295	+	1.14960i
$877$	6.21219	−	3.99233i	0.209771	−	0.134812i	−0.431537	−	0.902095i	$-0.642029\pi$
$877$	6.21219	−	3.99233i	0.209771	−	0.134812i	0.641308	+	0.767284i	$0.278392\pi$
$878$	2.03797	+	26.3515i	0.0687781	+	0.889318i
$879$	−1.11450	+	1.21348i	−0.0375912	+	0.0409295i
$880$	10.4592	−	9.49541i	0.352580	−	0.320090i
$881$	37.2912	+	32.3130i	1.25637	+	1.08865i	0.992262	+	0.124160i	$0.0396237\pi$
$881$	37.2912	+	32.3130i	1.25637	+	1.08865i	0.264110	+	0.964492i	$0.414922\pi$
$882$	−10.1735	+	6.82003i	−0.342561	+	0.229642i
$883$	45.4168	−	20.7411i	1.52840	−	0.697995i	0.538875	−	0.842386i	$-0.318849\pi$
$883$	45.4168	−	20.7411i	1.52840	−	0.697995i	0.989521	+	0.144390i	$0.0461221\pi$
$884$	−9.11030	+	10.7630i	−0.306413	+	0.361997i
$885$	−50.1900	−	34.3449i	−1.68712	−	1.15449i
$886$	−28.6444	+	10.8730i	−0.962327	+	0.365284i
$887$	4.79883	+	3.08402i	0.161129	+	0.103551i	0.618720	−	0.785611i	$-0.287651\pi$
$887$	4.79883	+	3.08402i	0.161129	+	0.103551i	−0.457591	+	0.889163i	$0.651288\pi$
$888$	37.0907	−	27.1026i	1.24468	−	0.909504i
$889$	24.0733	+	7.06855i	0.807391	+	0.237072i
$890$	16.7366	−	6.35296i	0.561013	−	0.212952i
$891$	−5.70168	+	9.42526i	−0.191014	+	0.315758i
$892$	−8.28110	−	5.18756i	−0.277272	−	0.173692i
$893$	25.3545	+	21.9698i	0.848457	+	0.735192i
$894$	19.7802	−	14.1055i	0.661549	−	0.471759i
$895$	−1.94267	−	6.61613i	−0.0649364	−	0.221153i
$896$	−32.8006	+	13.7710i	−1.09579	+	0.460055i
$897$	−1.39418	+	48.2106i	−0.0465505	+	1.60970i
$898$	39.9857	−	40.4509i	1.33434	−	1.34987i
$899$	−6.00970	+	13.1594i	−0.200435	+	0.438891i
$900$	−19.5978	−	3.74978i	−0.653261	−	0.124993i
$901$	−11.0984			−0.369740
$902$	3.33124	−	15.7516i	0.110918	−	0.524470i
$903$	−3.64368	−	6.04715i	−0.121254	−	0.201237i
$904$	−14.5327	−	14.0369i	−0.483350	−	0.466859i
$905$	70.9901	−	10.2068i	2.35979	−	0.339287i
$906$	9.07931	+	9.50927i	0.301640	+	0.315924i
$907$	33.4670	+	15.2839i	1.11125	+	0.507492i	0.884538	−	0.466469i	$-0.154474\pi$
$907$	33.4670	+	15.2839i	1.11125	+	0.507492i	0.226716	+	0.973961i	$0.427201\pi$
$908$	−3.00700	+	1.41552i	−0.0997908	+	0.0469757i
$909$	−0.646381	+	0.888357i	−0.0214391	+	0.0294649i
$910$	−76.3185	−	16.1403i	−2.52993	−	0.535046i
$911$	11.8851	−	7.63811i	0.393772	−	0.253062i	−0.328740	−	0.944420i	$-0.606624\pi$
$911$	11.8851	−	7.63811i	0.393772	−	0.253062i	0.722512	+	0.691359i	$0.242988\pi$
$912$	28.9013	−	32.9674i	0.957016	−	1.09166i
$913$	−8.89330	−	19.4736i	−0.294325	−	0.644482i
$914$	6.34265	+	11.4576i	0.209796	+	0.378985i
$915$	17.5479	+	41.5639i	0.580115	+	1.37406i
$916$	−1.57411	+	5.59976i	−0.0520099	+	0.185021i
$917$	5.09497	+	7.92792i	0.168251	+	0.261803i
$918$	−8.52154	−	0.0813619i	−0.281253	−	0.00268534i
$919$	−1.34362	+	0.193183i	−0.0443218	+	0.00637252i	−0.164440	−	0.986387i	$-0.552582\pi$
$919$	−1.34362	+	0.193183i	−0.0443218	+	0.00637252i	0.120118	+	0.992760i	$0.461673\pi$
$920$	34.7909	−	13.6686i	1.14702	−	0.450641i
$921$	51.9353	+	1.50190i	1.71133	+	0.0494892i
$922$	−23.8888	−	8.75298i	−0.786735	−	0.288264i
$923$	2.66576	+	18.5407i	0.0877445	+	0.610276i
$924$	13.1612	+	2.12586i	0.432972	+	0.0699355i
$925$	−12.9542	−	28.3657i	−0.425931	−	0.932659i
$926$	−10.2185	−	13.4871i	−0.335802	−	0.443212i
$927$	12.1467	−	4.71934i	0.398950	−	0.155003i
$928$	13.8312	+	34.0423i	0.454032	+	1.11749i
$929$	22.4654	+	3.23003i	0.737065	+	0.105974i	0.500615	−	0.865670i	$-0.333107\pi$
$929$	22.4654	+	3.23003i	0.737065	+	0.105974i	0.236449	+	0.971644i	$0.424016\pi$
$930$	7.86132	−	13.6374i	0.257783	−	0.447189i
$931$	−18.0824	−	2.59986i	−0.592628	−	0.0852070i
$932$	−36.0626	−	22.5908i	−1.18127	−	0.739987i
$933$	16.3459	−	13.3564i	0.535141	−	0.437270i
$934$	−1.56901	+	23.8780i	−0.0513397	+	0.781311i
$935$	−2.68203	−	3.09523i	−0.0877119	−	0.101225i
$936$	51.2652	+	5.75896i	1.67566	+	0.188238i
$937$	8.15320			0.266354			0.133177	−	0.991092i	$-0.457482\pi$
$937$	8.15320			0.266354			0.133177	+	0.991092i	$0.457482\pi$
$938$	28.7654	−	22.3023i	0.939225	−	0.728195i
$939$	−5.61409	+	17.2578i	−0.183209	+	0.563187i
$940$	29.2535	−	8.95849i	0.954145	−	0.292194i
$941$	10.6196	−	9.20192i	0.346188	−	0.299974i	−0.464359	−	0.885647i	$-0.653715\pi$
$941$	10.6196	−	9.20192i	0.346188	−	0.299974i	0.810547	+	0.585673i	$0.199170\pi$
$942$	8.65633	+	3.45871i	0.282039	+	0.112691i
$943$	23.0321	−	35.8387i	0.750030	−	1.16707i
$944$	5.81073	−	48.3276i	0.189123	−	1.57293i
$945$	−21.9563	−	41.7180i	−0.714237	−	1.35709i
$946$	−0.464282	+	2.19533i	−0.0150951	+	0.0713763i
$947$	−2.59711	+	18.0633i	−0.0843948	+	0.586979i	0.903112	+	0.429404i	$0.141276\pi$
$947$	−2.59711	+	18.0633i	−0.0843948	+	0.586979i	−0.987507	+	0.157574i	$0.949633\pi$
$948$	−20.7260	+	31.0529i	−0.673151	+	1.00855i
$949$	−55.6762	−	35.7809i	−1.80733	−	1.16150i
$950$	−17.9727	−	23.7215i	−0.583112	−	0.769626i
$951$	−4.16787	−	36.4375i	−0.135152	−	1.18157i
$952$	3.77142	+	9.59944i	0.122232	+	0.311120i
$953$	30.6680	−	4.40939i	0.993434	−	0.142834i	0.373619	−	0.927582i	$-0.378117\pi$
$953$	30.6680	−	4.40939i	0.993434	−	0.142834i	0.619815	+	0.784748i	$0.287208\pi$
$954$	22.6087	+	33.7257i	0.731983	+	1.09191i
$955$	−7.72555	−	26.3108i	−0.249993	−	0.851398i
$956$	−26.8142	+	4.17247i	−0.867234	+	0.134947i
$957$	2.35293	−	13.5680i	0.0760594	−	0.438590i
$958$	21.2595	−	28.7444i	0.686862	−	0.928690i
$959$	4.69708	−	3.01863i	0.151677	−	0.0974767i
$960$	−11.4862	−	38.2959i	−0.370716	−	1.23599i
$961$	−17.0524	−	19.6796i	−0.550078	−	0.634824i
$962$	39.0471	+	70.5364i	1.25893	+	2.27418i
$963$	0.623645	−	3.06676i	0.0200967	−	0.0988249i
$964$	28.3146	−	25.1141i	0.911951	−	0.808870i
$965$	−40.1355	−	62.4521i	−1.29201	−	2.01040i
$966$	30.5624	+	17.6178i	0.983330	+	0.566843i
$967$		−	26.4002i		−	0.848972i	−0.905435	−	0.424486i	$-0.860455\pi$
$967$		−	26.4002i		−	0.848972i	0.905435	−	0.424486i	$-0.139545\pi$
$968$	16.4768	+	21.2322i	0.529584	+	0.682429i
$969$	−9.36154	−	8.59800i	−0.300736	−	0.276207i
$970$	−7.17973	+	13.3314i	−0.230527	+	0.428047i
$971$	0.724391	+	5.03825i	0.0232468	+	0.161685i	0.998138	−	0.0609968i	$-0.0194279\pi$
$971$	0.724391	+	5.03825i	0.0232468	+	0.161685i	−0.974891	+	0.222682i	$0.928519\pi$
$972$	17.1121	+	26.0610i	0.548872	+	0.835906i
$973$	35.6662	−	41.1610i	1.14341	−	1.31956i
$974$	6.09027	−	28.7975i	0.195145	−	0.922732i
$975$	10.8332	−	33.3013i	0.346939	−	1.06650i
$976$	−23.0093	+	27.8299i	−0.736509	+	0.890812i
$977$	12.7721	+	5.83283i	0.408616	+	0.186609i	0.609109	−	0.793086i	$-0.291527\pi$
$977$	12.7721	+	5.83283i	0.408616	+	0.186609i	−0.200493	+	0.979695i	$0.564254\pi$
$978$	−5.80370	−	11.2390i	−0.185582	−	0.359384i
$979$	−1.51280	−	5.15211i	−0.0483492	−	0.164662i
$980$	−10.7634	+	12.7159i	−0.343823	+	0.406194i
$981$	−8.86710	−	3.17079i	−0.283105	−	0.101235i
$982$	9.51698	−	12.8677i	0.303699	−	0.410624i
$983$	16.5673	−	19.1196i	0.528414	−	0.609822i	−0.427304	−	0.904108i	$-0.640536\pi$
$983$	16.5673	−	19.1196i	0.528414	−	0.609822i	0.955717	+	0.294286i	$0.0950819\pi$
$984$	−36.1600	−	27.7269i	−1.15274	−	0.883900i
$985$	−14.7347	−	17.0048i	−0.469488	−	0.541818i
$986$	9.95972	−	3.78055i	0.317182	−	0.120397i
$987$	23.8284	+	16.3057i	0.758467	+	0.519017i
$988$	51.0576	+	57.5644i	1.62436	+	1.83137i
$989$	−3.21004	+	4.99492i	−0.102073	+	0.158829i
$990$	−3.94217	+	14.4555i	−0.125290	+	0.459427i
$991$	11.1703	−	38.0426i	0.354837	−	1.20846i	−0.567921	−	0.823083i	$-0.692252\pi$
$991$	11.1703	−	38.0426i	0.354837	−	1.20846i	0.922758	−	0.385381i	$-0.125930\pi$
$992$	12.5873	+	0.535000i	0.399648	+	0.0169863i
$993$	2.63748	+	23.0581i	0.0836978	+	0.731726i
$994$	12.8641	+	4.71349i	0.408025	+	0.149503i
$995$	39.0480	−	45.0638i	1.23791	−	1.42862i
$996$	−60.5812	−	1.05068i	−1.91959	−	0.0332922i
$997$	−19.7556	+	43.2587i	−0.625665	+	1.37002i	0.285661	+	0.958331i	$0.407787\pi$
$997$	−19.7556	+	43.2587i	−0.625665	+	1.37002i	−0.911326	+	0.411685i	$0.864940\pi$
$998$	0.254719	+	3.29358i	0.00806298	+	0.104256i
$999$	−17.7253	+	45.3858i	−0.560804	+	1.43594i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.3	✓	1320
3.2	odd	2	inner	804.2.w.a.59.130	yes	1320
4.3	odd	2	inner	804.2.w.a.59.15	yes	1320
12.11	even	2	inner	804.2.w.a.59.118	yes	1320
67.25	even	11	inner	804.2.w.a.695.118	yes	1320
201.92	odd	22	inner	804.2.w.a.695.15	yes	1320
268.159	odd	22	inner	804.2.w.a.695.130	yes	1320
804.695	even	22	inner	804.2.w.a.695.3	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.3	✓	1320	1.1	even	1	trivial
804.2.w.a.59.15	yes	1320	4.3	odd	2	inner
804.2.w.a.59.118	yes	1320	12.11	even	2	inner
804.2.w.a.59.130	yes	1320	3.2	odd	2	inner
804.2.w.a.695.3	yes	1320	804.695	even	22	inner
804.2.w.a.695.15	yes	1320	201.92	odd	22	inner
804.2.w.a.695.118	yes	1320	67.25	even	11	inner
804.2.w.a.695.130	yes	1320	268.159	odd	22	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.w (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41000 + 0.109047i) q^{2} +(-1.59567 + 0.673676i) q^{3} +(1.97622 - 0.307512i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(2.17644 - 1.12389i) q^{6} +(3.11234 + 0.447486i) q^{7} +(-2.75294 + 0.649094i) q^{8} +(2.09232 - 2.14993i) q^{9} +O(q^{10})\)	\(q+(-1.41000 + 0.109047i) q^{2} +(-1.59567 + 0.673676i) q^{3} +(1.97622 - 0.307512i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(2.17644 - 1.12389i) q^{6} +(3.11234 + 0.447486i) q^{7} +(-2.75294 + 0.649094i) q^{8} +(2.09232 - 2.14993i) q^{9} +(1.93486 - 3.59269i) q^{10} +(-1.02966 - 0.661724i) q^{11} +(-2.94623 + 1.82202i) q^{12} +(-2.52559 - 5.53026i) q^{13} +(-4.43720 - 0.291567i) q^{14} +(0.853940 - 4.92417i) q^{15} +(3.81087 - 1.21542i) q^{16} +(-0.326722 - 1.11271i) q^{17} +(-2.71574 + 3.25957i) q^{18} +(-6.26365 + 0.900577i) q^{19} +(-2.33639 + 5.27669i) q^{20} +(-5.26772 + 1.38267i) q^{21} +(1.52399 + 0.820751i) q^{22} +(2.99938 + 3.46147i) q^{23} +(3.95550 - 2.89033i) q^{24} +(-1.38149 - 3.02503i) q^{25} +(4.16414 + 7.52228i) q^{26} +(-1.89030 + 4.84012i) q^{27} +(6.28826 - 0.0727518i) q^{28} -6.49562i q^{29} +(-0.667093 + 7.03621i) q^{30} +(-2.02589 - 0.925194i) q^{31} +(-5.24080 + 2.12931i) q^{32} +(2.08879 + 0.362234i) q^{33} +(0.582016 + 1.53330i) q^{34} +(-5.94135 + 6.85668i) q^{35} +(3.47375 - 4.89214i) q^{36} +9.37700 q^{37} +(8.73356 - 1.95285i) q^{38} +(7.75560 + 7.12304i) q^{39} +(2.71891 - 7.69493i) q^{40} +(-2.62047 - 8.92450i) q^{41} +(7.27673 - 2.52399i) q^{42} +(0.365221 + 1.24383i) q^{43} +(-2.23833 - 0.991076i) q^{44} +(1.95469 + 8.43263i) q^{45} +(-4.60660 - 4.55362i) q^{46} +(-3.47181 - 4.00668i) q^{47} +(-5.26209 + 4.50671i) q^{48} +(2.76994 + 0.813329i) q^{49} +(2.27777 + 4.11466i) q^{50} +(1.27095 + 1.55542i) q^{51} +(-6.69173 - 10.1523i) q^{52} +(2.69622 - 9.18248i) q^{53} +(2.13753 - 7.03072i) q^{54} +(3.21248 - 1.46709i) q^{55} +(-8.85854 + 0.788295i) q^{56} +(9.38802 - 5.65670i) q^{57} +(0.708326 + 9.15884i) q^{58} +(5.05515 - 11.0692i) q^{59} +(0.173327 - 9.99383i) q^{60} +(-7.59440 + 4.88063i) q^{61} +(2.95740 + 1.08361i) q^{62} +(7.47407 - 5.75502i) q^{63} +(7.15735 - 3.57383i) q^{64} +(17.3637 + 2.49653i) q^{65} +(-2.98470 - 0.282975i) q^{66} +(-6.12607 + 5.42874i) q^{67} +(-0.987846 - 2.09849i) q^{68} +(-7.11794 - 3.50275i) q^{69} +(7.62962 - 10.3158i) q^{70} +(-2.95619 - 0.868016i) q^{71} +(-4.36453 + 7.27674i) q^{72} +(9.15777 - 5.88534i) q^{73} +(-13.2216 + 1.02253i) q^{74} +(4.24228 + 3.89628i) q^{75} +(-12.1014 + 3.70589i) q^{76} +(-2.90854 - 2.52027i) q^{77} +(-11.7122 - 9.19779i) q^{78} +(9.80355 - 4.47713i) q^{79} +(-2.99457 + 11.1464i) q^{80} +(-0.244385 - 8.99668i) q^{81} +(4.66806 + 12.2978i) q^{82} +(14.7143 + 9.45630i) q^{83} +(-9.98498 + 4.35234i) q^{84} +(3.21062 + 0.942724i) q^{85} +(-0.650597 - 1.71397i) q^{86} +(4.37594 + 10.3649i) q^{87} +(3.26412 + 1.15334i) q^{88} +(3.31553 + 2.87293i) q^{89} +(-3.67567 - 11.6769i) q^{90} +(-5.38575 - 18.3422i) q^{91} +(6.99188 + 5.91828i) q^{92} +(3.85593 + 0.111508i) q^{93} +(5.33218 + 5.27084i) q^{94} +(7.58507 - 16.6090i) q^{95} +(6.92812 - 6.92828i) q^{96} -3.71072 q^{97} +(-3.99432 - 0.844743i) q^{98} +(-3.57704 + 0.829162i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Introduction

L-functions

Modular forms

Varieties

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