LMFDB - Embedded newform 804.2.w.a.59.15

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			59.15
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32217 - 0.501873i) q^{2} +(1.59567 - 0.673676i) q^{3} +(1.49625 + 1.32712i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(-2.44784 + 0.0898878i) q^{6} +(-3.11234 - 0.447486i) q^{7} +(-1.31224 - 2.50560i) q^{8} +(2.09232 - 2.14993i) q^{9} +O(q^{10})$	\(q+(-1.32217 - 0.501873i) q^{2} +(1.59567 - 0.673676i) q^{3} +(1.49625 + 1.32712i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(-2.44784 + 0.0898878i) q^{6} +(-3.11234 - 0.447486i) q^{7} +(-1.31224 - 2.50560i) q^{8} +(2.09232 - 2.14993i) q^{9} +(3.28076 - 2.42646i) q^{10} +(1.02966 + 0.661724i) q^{11} +(3.28156 + 1.10966i) q^{12} +(-2.52559 - 5.53026i) q^{13} +(3.89044 + 2.15365i) q^{14} +(-0.853940 + 4.92417i) q^{15} +(0.477506 + 3.97140i) q^{16} +(-0.326722 - 1.11271i) q^{17} +(-3.84539 + 1.79248i) q^{18} +(6.26365 - 0.900577i) q^{19} +(-5.55549 + 1.56166i) q^{20} +(-5.26772 + 1.38267i) q^{21} +(-1.02928 - 1.39167i) q^{22} +(-2.99938 - 3.46147i) q^{23} +(-3.78186 - 3.11408i) q^{24} +(-1.38149 - 3.02503i) q^{25} +(0.563753 + 8.57945i) q^{26} +(1.89030 - 4.84012i) q^{27} +(-4.06295 - 4.79999i) q^{28} -6.49562i q^{29} +(3.60036 - 6.08200i) q^{30} +(2.02589 + 0.925194i) q^{31} +(1.36180 - 5.49049i) q^{32} +(2.08879 + 0.362234i) q^{33} +(-0.126460 + 1.63516i) q^{34} +(5.94135 - 6.85668i) q^{35} +(5.98384 - 0.440062i) q^{36} +9.37700 q^{37} +(-8.73356 - 1.95285i) q^{38} +(-7.75560 - 7.12304i) q^{39} +(8.12903 + 0.723378i) q^{40} +(-2.62047 - 8.92450i) q^{41} +(7.65872 + 0.815614i) q^{42} +(-0.365221 - 1.24383i) q^{43} +(0.662442 + 2.35659i) q^{44} +(1.95469 + 8.43263i) q^{45} +(2.22846 + 6.08196i) q^{46} +(3.47181 + 4.00668i) q^{47} +(3.43738 + 6.01535i) q^{48} +(2.76994 + 0.813329i) q^{49} +(0.308371 + 4.69292i) q^{50} +(-1.27095 - 1.55542i) q^{51} +(3.56042 - 11.6264i) q^{52} +(2.69622 - 9.18248i) q^{53} +(-4.92841 + 5.45075i) q^{54} +(-3.21248 + 1.46709i) q^{55} +(2.96291 + 8.38548i) q^{56} +(9.38802 - 5.65670i) q^{57} +(-3.25998 + 8.58828i) q^{58} +(-5.05515 + 11.0692i) q^{59} +(-7.81267 + 6.23449i) q^{60} +(-7.59440 + 4.88063i) q^{61} +(-2.21424 - 2.24000i) q^{62} +(-7.47407 + 5.75502i) q^{63} +(-4.55605 + 6.57589i) q^{64} +(17.3637 + 2.49653i) q^{65} +(-2.57993 - 1.52724i) q^{66} +(6.12607 - 5.42874i) q^{67} +(0.987846 - 2.09849i) q^{68} +(-7.11794 - 3.50275i) q^{69} +(-11.2966 + 6.08387i) q^{70} +(2.95619 + 0.868016i) q^{71} +(-8.13249 - 2.42130i) q^{72} +(9.15777 - 5.88534i) q^{73} +(-12.3979 - 4.70606i) q^{74} +(-4.24228 - 3.89628i) q^{75} +(10.5671 + 6.96513i) q^{76} +(-2.90854 - 2.52027i) q^{77} +(6.67933 + 13.3102i) q^{78} +(-9.80355 + 4.47713i) q^{79} +(-10.3849 - 5.03617i) q^{80} +(-0.244385 - 8.99668i) q^{81} +(-1.01427 + 13.1148i) q^{82} +(-14.7143 - 9.45630i) q^{83} +(-9.71677 - 4.92209i) q^{84} +(3.21062 + 0.942724i) q^{85} +(-0.141361 + 1.82784i) q^{86} +(-4.37594 - 10.3649i) q^{87} +(0.306851 - 3.44826i) q^{88} +(3.31553 + 2.87293i) q^{89} +(1.64769 - 12.1303i) q^{90} +(5.38575 + 18.3422i) q^{91} +(0.105973 - 9.15976i) q^{92} +(3.85593 + 0.111508i) q^{93} +(-2.57946 - 7.03991i) q^{94} +(-7.58507 + 16.6090i) q^{95} +(-1.52584 - 9.67842i) q^{96} -3.71072 q^{97} +(-3.25414 - 2.46552i) 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 $

$2$	−1.32217	−	0.501873i	−0.934913	−	0.354878i
$2$	−1.32217	−	0.501873i	−0.934913	−	0.354878i
$3$	1.59567	−	0.673676i	0.921260	−	0.388947i
$3$	1.59567	−	0.673676i	0.921260	−	0.388947i
$4$	1.49625	+	1.32712i	0.748123	+	0.663560i
$5$	−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	$0.958594\pi$
$6$	−2.44784	+	0.0898878i	−0.999326	+	0.0366965i
$7$	−3.11234	−	0.447486i	−1.17635	−	0.169134i	−0.473713	−	0.880679i	$-0.657086\pi$
$7$	−3.11234	−	0.447486i	−1.17635	−	0.169134i	−0.702640	+	0.711546i	$0.747996\pi$
$8$	−1.31224	−	2.50560i	−0.463947	−	0.885863i
$9$	2.09232	−	2.14993i	0.697440	−	0.716643i
$10$	3.28076	−	2.42646i	1.03747	−	0.767315i
$11$	1.02966	+	0.661724i	0.310455	+	0.199517i	0.686585	−	0.727050i	$-0.259109\pi$
$11$	1.02966	+	0.661724i	0.310455	+	0.199517i	−0.376130	+	0.926567i	$0.622745\pi$
$12$	3.28156	+	1.10966i	0.947306	+	0.320331i
$13$	−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	$-0.455634\pi$
$14$	3.89044	+	2.15365i	1.03976	+	0.575587i
$15$	−0.853940	+	4.92417i	−0.220486	+	1.27142i
$16$	0.477506	+	3.97140i	0.119376	+	0.992849i
$17$	−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	$0.954005\pi$
$18$	−3.84539	+	1.79248i	−0.906367	+	0.422492i
$19$	6.26365	−	0.900577i	1.43698	−	0.206607i	0.620603	−	0.784125i	$-0.286888\pi$
$19$	6.26365	−	0.900577i	1.43698	−	0.206607i	0.816378	+	0.577519i	$0.195979\pi$
$20$	−5.55549	+	1.56166i	−1.24224	+	0.349198i
$21$	−5.26772	+	1.38267i	−1.14951	+	0.301723i
$22$	−1.02928	−	1.39167i	−0.219444	−	0.296705i
$23$	−2.99938	−	3.46147i	−0.625415	−	0.721767i	0.351311	−	0.936259i	$-0.385736\pi$
$23$	−2.99938	−	3.46147i	−0.625415	−	0.721767i	−0.976726	+	0.214492i	$0.931191\pi$
$24$	−3.78186	−	3.11408i	−0.771970	−	0.635659i
$25$	−1.38149	−	3.02503i	−0.276297	−	0.605006i
$26$	0.563753	+	8.57945i	0.110561	+	1.68257i
$27$	1.89030	−	4.84012i	0.363788	−	0.931482i
$28$	−4.06295	−	4.79999i	−0.767826	−	0.907113i
$29$		−	6.49562i		−	1.20621i	−0.797663	−	0.603103i	$-0.793931\pi$
$29$		−	6.49562i		−	1.20621i	0.797663	−	0.603103i	$-0.206069\pi$
$30$	3.60036	−	6.08200i	0.657333	−	1.11042i
$31$	2.02589	+	0.925194i	0.363861	+	0.166170i	0.588952	−	0.808168i	$-0.299541\pi$
$31$	2.02589	+	0.925194i	0.363861	+	0.166170i	−0.225091	+	0.974338i	$0.572268\pi$
$32$	1.36180	−	5.49049i	0.240734	−	0.970591i
$33$	2.08879	+	0.362234i	0.363611	+	0.0630568i
$34$	−0.126460	+	1.63516i	−0.0216877	+	0.280428i
$35$	5.94135	−	6.85668i	1.00427	−	1.15899i
$36$	5.98384	−	0.440062i	0.997307	−	0.0733436i
$37$	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
$40$	8.12903	+	0.723378i	1.28531	+	0.114376i
$41$	−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	$-0.349674\pi$
$42$	7.65872	+	0.815614i	1.18177	+	0.125852i
$43$	−0.365221	−	1.24383i	−0.0556956	−	0.189682i	0.926946	−	0.375194i	$-0.122424\pi$
$43$	−0.365221	−	1.24383i	−0.0556956	−	0.189682i	−0.982642	+	0.185512i	$0.940606\pi$
$44$	0.662442	+	2.35659i	0.0998668	+	0.355269i
$45$	1.95469	+	8.43263i	0.291388	+	1.25706i
$46$	2.22846	+	6.08196i	0.328569	+	0.896735i
$47$	3.47181	+	4.00668i	0.506415	+	0.584434i	0.950177	−	0.311710i	$-0.100902\pi$
$47$	3.47181	+	4.00668i	0.506415	+	0.584434i	−0.443762	+	0.896145i	$0.646356\pi$
$48$	3.43738	+	6.01535i	0.496142	+	0.868241i
$49$	2.76994	+	0.813329i	0.395706	+	0.116190i
$50$	0.308371	+	4.69292i	0.0436102	+	0.663680i
$51$	−1.27095	−	1.55542i	−0.177968	−	0.217802i
$52$	3.56042	−	11.6264i	0.493742	−	1.61229i
$53$	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	$-0.137384\pi$
$54$	−4.92841	+	5.45075i	−0.670672	+	0.741754i
$55$	−3.21248	+	1.46709i	−0.433171	+	0.197822i
$56$	2.96291	+	8.38548i	0.395936	+	1.12056i
$57$	9.38802	−	5.65670i	1.24347	−	0.749248i
$58$	−3.25998	+	8.58828i	−0.428056	+	1.12770i
$59$	−5.05515	+	11.0692i	−0.658125	+	1.44109i	0.226135	+	0.974096i	$0.427391\pi$
$59$	−5.05515	+	11.0692i	−0.658125	+	1.44109i	−0.884259	+	0.466996i	$0.845336\pi$
$60$	−7.81267	+	6.23449i	−1.00861	+	0.804869i
$61$	−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	$0.514319\pi$
$62$	−2.21424	−	2.24000i	−0.281208	−	0.284480i
$63$	−7.47407	+	5.75502i	−0.941644	+	0.725064i
$64$	−4.55605	+	6.57589i	−0.569507	+	0.821987i
$65$	17.3637	+	2.49653i	2.15371	+	0.309656i
$66$	−2.57993	−	1.52724i	−0.317567	−	0.187990i
$67$	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
$70$	−11.2966	+	6.08387i	−1.35021	+	0.727162i
$71$	2.95619	+	0.868016i	0.350835	+	0.103015i	0.452402	−	0.891814i	$-0.350567\pi$
$71$	2.95619	+	0.868016i	0.350835	+	0.103015i	−0.101567	+	0.994829i	$0.532385\pi$
$72$	−8.13249	−	2.42130i	−0.958423	−	0.285352i
$73$	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	$0.0983377\pi$
$74$	−12.3979	−	4.70606i	−1.44123	−	0.547069i
$75$	−4.24228	−	3.89628i	−0.489857	−	0.449903i
$76$	10.5671	+	6.96513i	1.21213	+	0.798955i
$77$	−2.90854	−	2.52027i	−0.331459	−	0.287211i
$78$	6.67933	+	13.3102i	0.756285	+	1.50708i
$79$	−9.80355	+	4.47713i	−1.10299	+	0.503716i	−0.881852	−	0.471527i	$-0.843703\pi$
$79$	−9.80355	+	4.47713i	−1.10299	+	0.503716i	−0.221133	+	0.975244i	$0.570976\pi$
$80$	−10.3849	−	5.03617i	−1.16107	−	0.563061i
$81$	−0.244385	−	8.99668i	−0.0271539	−	0.999631i
$82$	−1.01427	+	13.1148i	−0.112008	+	1.44829i
$83$	−14.7143	−	9.45630i	−1.61510	−	1.03796i	−0.959045	−	0.283255i	$-0.908586\pi$
$83$	−14.7143	−	9.45630i	−1.61510	−	1.03796i	−0.656059	−	0.754709i	$-0.727778\pi$
$84$	−9.71677	−	4.92209i	−1.06019	−	0.537044i
$85$	3.21062	+	0.942724i	0.348241	+	0.102253i
$86$	−0.141361	+	1.82784i	−0.0152434	+	0.197101i
$87$	−4.37594	−	10.3649i	−0.469150	−	1.11123i
$88$	0.306851	−	3.44826i	0.0327104	−	0.367586i
$89$	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	$0.652577\pi$
$90$	1.64769	−	12.1303i	0.173681	−	1.27865i
$91$	5.38575	+	18.3422i	0.564580	+	1.92278i
$92$	0.105973	−	9.15976i	0.0110485	−	0.954971i
$93$	3.85593	+	0.111508i	0.399842	+	0.0115629i
$94$	−2.57946	−	7.03991i	−0.266051	−	0.726111i
$95$	−7.58507	+	16.6090i	−0.778212	+	1.70405i
$96$	−1.52584	−	9.67842i	−0.155730	−	0.987800i
$97$	−3.71072			−0.376766			−0.188383	−	0.982096i	$-0.560325\pi$
$97$	−3.71072			−0.376766			−0.188383	+	0.982096i	$0.560325\pi$
$98$	−3.25414	−	2.46552i	−0.328717	−	0.249055i
$99$	3.57704	−	0.829162i	0.359506	−	0.0833339i
$100$	1.94754	−	6.35959i	0.194754	−	0.635959i
$101$	−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	$0.460345\pi$
$102$	0.899781	+	2.69437i	0.0890916	+	0.266783i
$103$	−3.95123	−	1.80447i	−0.389326	−	0.177799i	0.211128	−	0.977458i	$-0.432286\pi$
$103$	−3.95123	−	1.80447i	−0.389326	−	0.177799i	−0.600454	+	0.799659i	$0.705014\pi$
$104$	−10.5424	+	13.5851i	−1.03377	+	1.33213i
$105$	4.86125	−	14.9435i	0.474409	−	1.45834i
$106$	−8.17329	+	10.7876i	−0.793860	+	1.04778i
$107$	−0.877575	+	0.563984i	−0.0848384	+	0.0545223i	−0.582372	−	0.812922i	$-0.697875\pi$
$107$	−0.877575	+	0.563984i	−0.0848384	+	0.0545223i	0.497534	+	0.867445i	$0.334239\pi$
$108$	9.25177	−	4.73336i	0.890252	−	0.455468i
$109$	−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	$0.911670\pi$
$110$	4.98372	−	0.327479i	0.475179	−	0.0312239i
$111$	14.9626	−	6.31706i	1.42019	−	0.599589i
$112$	0.290988	−	12.5740i	0.0274957	−	1.18813i
$113$	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	$0.709108\pi$
$114$	−15.2515	+	2.76749i	−1.42843	+	0.259200i
$115$	13.0812	−	1.88079i	1.21983	−	0.175384i
$116$	8.62046	−	9.71904i	0.800390	−	0.902390i
$117$	−17.1740	−	6.14125i	−1.58774	−	0.567759i
$118$	12.2391	−	12.0983i	1.12670	−	1.11374i
$119$	0.518944	+	3.60934i	0.0475715	+	0.330867i
$120$	13.4586	−	4.32206i	1.22859	−	0.394548i
$121$	−3.94724	−	8.64325i	−0.358840	−	0.785750i
$122$	12.4905	−	2.64157i	1.13084	−	0.239156i
$123$	−10.1936	−	12.4752i	−0.919128	−	1.12485i
$124$	1.80339	+	4.07292i	0.161949	+	0.365759i
$125$	−4.78227	−	0.687587i	−0.427740	−	0.0614997i
$126$	12.7703	−	3.85805i	1.13766	−	0.343702i
$127$	−7.89806	−	1.13557i	−0.700839	−	0.100766i	−0.217322	−	0.976100i	$-0.569732\pi$
$127$	−7.89806	−	1.13557i	−0.700839	−	0.100766i	−0.483518	+	0.875335i	$0.660641\pi$
$128$	9.32412	−	6.40786i	0.824144	−	0.566380i
$129$	−1.42071	−	1.73870i	−0.125086	−	0.153084i
$130$	−21.7048	−	12.0152i	−1.90364	−	1.05380i
$131$	−1.96269	−	2.26507i	−0.171481	−	0.197900i	0.663503	−	0.748173i	$-0.269069\pi$
$131$	−1.96269	−	2.26507i	−0.171481	−	0.197900i	−0.834984	+	0.550274i	$0.814523\pi$
$132$	2.64461	+	3.31406i	0.230184	+	0.288452i
$133$	−19.8976			−1.72534
$134$	−10.8242	+	4.10319i	−0.935071	+	0.354462i
$135$	8.79990	+	12.1389i	0.757375	+	1.04475i
$136$	−2.35927	+	2.27878i	−0.202306	+	0.195404i
$137$	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	$0.248559\pi$
$138$	7.65316	+	8.20353i	0.651480	+	0.698331i
$139$	−9.36456	+	14.5715i	−0.794291	+	1.23594i	0.173661	+	0.984806i	$0.444440\pi$
$139$	−9.36456	+	14.5715i	−0.794291	+	1.23594i	−0.967952	+	0.251136i	$0.919196\pi$
$140$	17.9894	−	2.37440i	1.52038	−	0.200674i
$141$	8.23906	+	4.05446i	0.693854	+	0.341447i
$142$	−3.47294	−	2.63129i	−0.291443	−	0.220813i
$143$	1.05900	−	7.36554i	0.0885584	−	0.615938i
$144$	9.53731	+	7.28283i	0.794776	+	0.606903i
$145$	15.7672	+	10.1329i	1.30939	+	0.841495i
$146$	−15.0618	+	3.18536i	−1.24652	+	0.263622i
$147$	4.96783	−	0.568241i	0.409740	−	0.0468677i
$148$	14.0303	+	12.4444i	1.15328	+	1.02292i
$149$	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	$0.321377\pi$
$150$	3.65357	+	7.28061i	0.298313	+	0.594460i
$151$	−1.51220	−	5.15008i	−0.123061	−	0.419107i	0.874800	−	0.484485i	$-0.160993\pi$
$151$	−1.51220	−	5.15008i	−0.123061	−	0.419107i	−0.997861	+	0.0653777i	$0.979175\pi$
$152$	−10.4759	−	14.5124i	−0.849708	−	1.17711i
$153$	−3.07586	−	1.62572i	−0.248668	−	0.131432i
$154$	2.58072	+	4.79193i	0.207961	+	0.386145i
$155$	−5.40610	+	3.47429i	−0.434228	+	0.279062i
$156$	−2.15116	−	20.9504i	−0.172231	−	1.67738i
$157$	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	$0.724201\pi$
$158$	15.2089	−	0.999370i	1.20995	−	0.0795056i
$159$	−1.88374	−	16.4686i	−0.149390	−	1.30604i
$160$	11.2030	+	11.8706i	0.885677	+	0.938450i
$161$	7.78613	+	12.1155i	0.613633	+	0.954832i
$162$	−4.19208	+	12.0178i	−0.329361	+	0.944204i
$163$			5.16395i			0.404472i	0.979337	+	0.202236i	$0.0648208\pi$
$163$			5.16395i			0.404472i	−0.979337	+	0.202236i	$0.935179\pi$
$164$	7.92302	−	16.8309i	0.618684	−	1.31427i
$165$	−4.13771	+	4.50516i	−0.322120	+	0.350726i
$166$	14.7089	+	19.8875i	1.14163	+	1.54357i
$167$	2.66674	+	18.5476i	0.206359	+	1.43526i	0.784910	+	0.619610i	$0.212709\pi$
$167$	2.66674	+	18.5476i	0.206359	+	1.43526i	−0.578551	+	0.815646i	$0.696382\pi$
$168$	10.3769	+	11.3844i	0.800597	+	0.878326i
$169$	−15.6920	+	18.1095i	−1.20708	+	1.39304i
$170$	−3.77185	−	2.85776i	−0.289288	−	0.219180i
$171$	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	$0.612049\pi$
$174$	0.583876	+	15.9002i	0.0442636	+	1.20539i
$175$	2.94599	+	10.0331i	0.222696	+	0.758432i
$176$	−2.13630	+	4.40517i	−0.161030	+	0.332053i
$177$	−0.609269	+	21.0684i	−0.0457955	+	1.58360i
$178$	−2.94184	−	5.46246i	−0.220500	−	0.409429i
$179$	1.56497	−	1.80607i	0.116971	−	0.134992i	−0.694244	−	0.719740i	$-0.744261\pi$
$179$	1.56497	−	1.80607i	0.116971	−	0.134992i	0.811215	+	0.584748i	$0.198807\pi$
$180$	−8.26641	+	15.2114i	−0.616142	+	1.13379i
$181$	−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	$-0.602184\pi$
$182$	2.08460	−	26.9544i	0.154521	−	1.99799i
$183$	−8.83019	+	12.9040i	−0.652747	+	0.953893i
$184$	−4.73715	+	12.0575i	−0.349228	+	0.888894i
$185$	−14.6278	+	22.7613i	−1.07546	+	1.67344i
$186$	−5.04222	−	2.08262i	−0.369714	−	0.152705i
$187$	0.399895	−	1.36192i	0.0292432	−	0.0995932i
$188$	−0.122665	+	10.6025i	−0.00894626	+	0.773266i
$189$	−8.04913	+	14.2182i	−0.585488	+	1.03422i
$190$	18.3643	−	18.1531i	1.33229	−	1.31696i
$191$	6.22350	−	7.18230i	0.450317	−	0.519693i	−0.484516	−	0.874783i	$-0.661004\pi$
$191$	6.22350	−	7.18230i	0.450317	−	0.519693i	0.934832	+	0.355090i	$0.115550\pi$
$192$	−2.83993	+	13.5623i	−0.204954	+	0.978772i
$193$	−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	$0.759599\pi$
$194$	4.90618	+	1.86231i	0.352243	+	0.133706i
$195$	29.3886	−	7.71390i	2.10456	−	0.552404i
$196$	3.06513	+	4.89299i	0.218938	+	0.349499i
$197$	−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	$0.180513\pi$
$198$	−5.14558	−	0.698933i	−0.365680	−	0.0496710i
$199$	20.4550	+	2.94099i	1.45002	+	0.208481i	0.821898	−	0.569634i	$-0.192915\pi$
$199$	20.4550	+	2.94099i	1.45002	+	0.208481i	0.628121	+	0.778115i	$0.283824\pi$
$200$	−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
$204$	0.162573	−	4.01398i	0.0113824	−	0.281035i
$205$	25.7508	+	7.56111i	1.79851	+	0.528091i
$206$	4.31857	+	4.36882i	0.300889	+	0.304390i
$207$	−13.7176	−	0.794053i	−0.953439	−	0.0551905i
$208$	20.7569	−	12.6708i	1.43923	−	0.878564i
$209$	7.04538	+	3.21752i	0.487339	+	0.222560i
$210$	−13.9271	+	17.3181i	−0.961064	+	1.19506i
$211$	12.3633	+	10.7129i	0.851126	+	0.737504i	0.966732	−	0.255791i	$-0.0823358\pi$
$211$	12.3633	+	10.7129i	0.851126	+	0.737504i	−0.115607	+	0.993295i	$0.536881\pi$
$212$	16.2205	−	10.1610i	1.11403	−	0.697863i
$213$	5.30186	−	0.606449i	0.363278	−	0.0415532i
$214$	1.44335	−	0.305248i	0.0986653	−	0.0208663i
$215$	3.58894	+	1.05381i	0.244764	+	0.0718692i
$216$	−14.6079	+	1.61507i	−0.993944	+	0.109892i
$217$	−5.89125	−	3.78607i	−0.399924	−	0.257015i
$218$	0.291071	+	4.42965i	0.0197138	+	0.300014i
$219$	10.6480	−	15.5604i	0.719522	−	1.05148i
$220$	−6.75366	−	2.06822i	−0.455332	−	0.139439i
$221$	−5.32842	+	4.61710i	−0.358428	+	0.310580i
$222$	−22.9534	+	0.842877i	−1.54053	+	0.0565702i
$223$	3.69250	+	3.19957i	0.247268	+	0.214259i	0.769673	−	0.638439i	$-0.220419\pi$
$223$	3.69250	+	3.19957i	0.247268	+	0.214259i	−0.522404	+	0.852698i	$0.674965\pi$
$224$	−6.69529	+	16.4789i	−0.447348	+	1.10104i
$225$	−9.39411	−	3.35924i	−0.626274	−	0.223949i
$226$	−2.09028	−	9.88377i	−0.139043	−	0.657458i
$227$	1.59444	−	0.468171i	0.105827	−	0.0310736i	−0.228390	−	0.973570i	$-0.573346\pi$
$227$	1.59444	−	0.468171i	0.105827	−	0.0310736i	0.334217	+	0.942496i	$0.391528\pi$
$228$	21.5539	+	3.99522i	1.42744	+	0.264590i
$229$	−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
$232$	−16.2754	+	8.52381i	−1.06853	+	0.559615i
$233$	−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	$0.972734\pi$
$234$	19.6247	+	16.7389i	1.28291	+	1.09426i
$235$	−15.1415	+	2.17703i	−0.987726	+	0.142014i
$236$	−22.2540	+	9.85351i	−1.44861	+	0.641409i
$237$	−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	$-0.355391\pi$
$239$	13.5685			0.877671			0.438835	+	0.898567i	$0.355391\pi$
$240$	−19.9636	−	1.04001i	−1.28864	−	0.0671326i
$241$	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	$0.109555\pi$
$242$	0.881090	+	13.4088i	0.0566386	+	0.861952i
$243$	−6.45081	−	14.1911i	−0.413819	−	0.910359i
$244$	−17.8403	−	2.77606i	−1.14211	−	0.177719i
$245$	−6.29526	+	5.45487i	−0.402189	+	0.348499i
$246$	7.21670	+	21.6102i	0.460120	+	1.37782i
$247$	−20.7998	−	32.3651i	−1.32346	−	2.05934i
$248$	−0.340291	−	6.29015i	−0.0216085	−	0.399425i
$249$	−29.8496	−	5.17646i	−1.89164	−	0.328045i
$250$	5.97788	+	3.30920i	0.378074	+	0.209292i
$251$	29.4320	−	8.64200i	1.85773	−	0.545478i	0.858248	−	0.513235i	$-0.171553\pi$
$251$	29.4320	−	8.64200i	1.85773	−	0.545478i	0.999480	−	0.0322436i	$-0.0102652\pi$
$252$	−18.8206	−	1.30807i	−1.18559	−	0.0824005i
$253$	−0.797814	−	5.54891i	−0.0501581	−	0.348857i
$254$	9.87263	+	5.46524i	0.619464	+	0.342919i
$255$	5.75818	−	0.658644i	0.360591	−	0.0412459i
$256$	−15.5440	+	3.79273i	−0.971499	+	0.237046i
$257$	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	$-0.0575191\pi$
$258$	1.00581	+	3.01186i	0.0626188	+	0.187510i
$259$	−29.1844	−	4.19608i	−1.81343	−	0.260732i
$260$	22.6672	+	26.7792i	1.40576	+	1.66077i
$261$	−13.9651	−	13.5909i	−0.864419	−	0.841257i
$262$	1.45823	+	3.97981i	0.0900895	+	0.245874i
$263$	1.55119	+	0.996892i	0.0956507	+	0.0614710i	0.587592	−	0.809158i	$-0.300076\pi$
$263$	1.55119	+	0.996892i	0.0956507	+	0.0614710i	−0.491941	+	0.870628i	$0.663712\pi$
$264$	−1.83338	−	5.70900i	−0.112837	−	0.351365i
$265$	18.0831	+	20.8690i	1.11084	+	1.28197i
$266$	26.3079	+	9.98607i	1.61304	+	0.612285i
$267$	7.22592	+	2.35064i	0.442219	+	0.143857i
$268$	16.3707	+	0.00729183i	1.00000	+	0.000445419i
$269$		−	1.12240i		−	0.0684339i	−0.999414	−	0.0342170i	$-0.989106\pi$
$269$		−	1.12240i		−	0.0684339i	0.999414	−	0.0342170i	$-0.0108937\pi$
$270$	−5.54276	−	20.4660i	−0.337322	−	1.24552i
$271$	−1.32638	+	1.14932i	−0.0805721	+	0.0698161i	−0.694216	−	0.719767i	$-0.744249\pi$
$271$	−1.32638	+	1.14932i	−0.0805721	+	0.0698161i	0.613644	+	0.789583i	$0.289703\pi$
$272$	4.26301	−	1.82887i	0.258483	−	0.110891i
$273$	20.9506	+	25.6398i	1.26799	+	1.55179i
$274$	−2.35793	+	0.863961i	−0.142448	+	0.0521938i
$275$	0.579272	−	4.02892i	0.0349314	−	0.242953i
$276$	−6.00161	−	14.6873i	−0.361255	−	0.884074i
$277$	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	$0.0248138\pi$
$278$	19.6946	−	14.5662i	1.18120	−	0.873621i
$279$	6.22792	−	2.41972i	0.372856	−	0.144865i
$280$	−24.9766	−	5.88903i	−1.49264	−	0.351937i
$281$	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	$0.139731\pi$
$282$	−8.85858	−	9.49564i	−0.527521	−	0.565457i
$283$	4.25388	−	0.611616i	0.252867	−	0.0363568i	−0.0147156	−	0.999892i	$-0.504684\pi$
$283$	4.25388	−	0.611616i	0.252867	−	0.0363568i	0.267583	+	0.963535i	$0.413775\pi$
$284$	3.27123	+	5.22198i	0.194112	+	0.309868i
$285$	−0.914186	+	31.6123i	−0.0541517	+	1.87255i
$286$	−5.09675	+	9.20698i	−0.301377	+	0.544420i
$287$	4.16219	+	28.9487i	0.245686	+	1.70879i
$288$	−8.95485	−	14.4156i	−0.527670	−	0.849450i
$289$	13.1699	−	8.46380i	0.774702	−	0.497871i
$290$	−15.7614	−	21.3106i	−0.925539	−	1.25140i
$291$	−5.92107	+	2.49982i	−0.347100	+	0.146542i
$292$	21.5128	+	3.34754i	1.25894	+	0.195900i
$293$	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	$0.354791\pi$
$294$	−6.85349	−	1.74191i	−0.399703	−	0.101591i
$295$	−18.9831	−	29.5383i	−1.10524	−	1.71979i
$296$	−12.3049	−	23.4950i	−0.715206	−	1.36562i
$297$	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
$300$	−1.17668	−	11.4598i	−0.0679355	−	0.661632i
$301$	0.580094	+	4.03464i	0.0334360	+	0.232553i
$302$	−0.585308	+	7.56819i	−0.0336807	+	0.435500i
$303$	−0.543292	+	0.327357i	−0.0312113	+	0.0188062i
$304$	6.56748	+	24.4454i	0.376671	+	1.40204i
$305$		−	26.0479i		−	1.49150i
$306$	3.25089	+	3.69317i	0.185841	+	0.211124i
$307$	27.2866	+	12.4614i	1.55733	+	0.711207i	0.993409	−	0.114623i	$-0.0365661\pi$
$307$	27.2866	+	12.4614i	1.55733	+	0.711207i	0.563918	+	0.825831i	$0.309293\pi$
$308$	−1.00720	−	7.63093i	−0.0573906	−	0.434812i
$309$	−7.52048	−	0.217482i	−0.427825	−	0.0123721i
$310$	8.89141	−	1.88041i	0.504998	−	0.106800i
$311$	11.6935	−	3.43353i	0.663079	−	0.194698i	0.0671602	−	0.997742i	$-0.478606\pi$
$311$	11.6935	−	3.43353i	0.663079	−	0.194698i	0.595919	+	0.803045i	$0.296788\pi$
$312$	−7.67027	+	28.7796i	−0.434244	+	1.62932i
$313$	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	$0.131580\pi$
$314$	−1.85158	−	5.05337i	−0.104491	−	0.285178i
$315$	−2.31017	−	27.1199i	−0.130163	−	1.52803i
$316$	−20.6102	−	6.31159i	−1.15941	−	0.355055i
$317$	−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	$0.888205\pi$
$318$	−5.77452	+	22.7196i	−0.323819	+	1.27405i
$319$	4.29830	−	6.68829i	0.240659	−	0.374472i
$320$	−8.85474	−	21.3173i	−0.494995	−	1.19168i
$321$	−1.02038	+	1.49113i	−0.0569519	+	0.0832269i
$322$	−4.21413	−	19.9263i	−0.234844	−	1.11045i
$323$	−3.04855	−	6.67540i	−0.169626	−	0.371429i
$324$	11.5740	−	13.7856i	0.643001	−	0.765866i
$325$	−13.2401	+	15.2799i	−0.734431	+	0.847579i
$326$	2.59165	−	6.82760i	0.143538	−	0.378146i
$327$	−4.00429	−	3.67769i	−0.221438	−	0.203377i
$328$	−18.9225	+	18.2769i	−1.04482	+	1.00917i
$329$	−9.01250	−	14.0237i	−0.496875	−	0.773153i
$330$	7.73176	−	3.87996i	0.425619	−	0.213585i
$331$	−3.77505	+	12.8566i	−0.207495	+	0.706664i	0.788319	+	0.615266i	$0.210952\pi$
$331$	−3.77505	+	12.8566i	−0.207495	+	0.706664i	−0.995814	+	0.0913975i	$0.970867\pi$
$332$	−9.46656	−	33.6766i	−0.519545	−	1.84824i
$333$	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
$336$	−8.00648	−	20.2600i	−0.436789	−	1.10527i
$337$	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	$-0.0887497\pi$
$338$	29.8361	−	16.0684i	1.62287	−	0.874007i
$339$	10.2110	+	6.98735i	0.554584	+	0.379501i
$340$	3.55277	+	5.67143i	0.192676	+	0.307576i
$341$	1.47376	+	2.29322i	0.0798087	+	0.124185i
$342$	−22.4719	+	14.6906i	−1.21514	+	0.794374i
$343$	11.7643	+	5.37258i	0.635213	+	0.290092i
$344$	−2.63727	+	2.54730i	−0.142192	+	0.137341i
$345$	19.6062	−	11.8136i	1.05556	−	0.636022i
$346$	−1.99578	−	2.01901i	−0.107294	−	0.108543i
$347$	4.11493	+	9.01044i	0.220901	+	0.483706i	0.987341	−	0.158610i	$-0.0507012\pi$
$347$	4.11493	+	9.01044i	0.220901	+	0.483706i	−0.766440	+	0.642316i	$0.777974\pi$
$348$	7.20792	−	21.3158i	0.386385	−	1.14265i
$349$	−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	$0.605101\pi$
$350$	1.14027	−	14.7439i	0.0609498	−	0.788097i
$351$	−31.5412	+	1.77031i	−1.68355	+	0.0944919i
$352$	5.03538	−	4.75222i	0.268387	−	0.253294i
$353$	−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	$0.987171\pi$
$354$	11.3792	−	27.5501i	0.604798	−	1.46427i
$355$	−6.71854	+	5.82165i	−0.356583	+	0.308981i
$356$	1.14814	+	8.69871i	0.0608511	+	0.461031i
$357$	3.25959	+	5.40971i	0.172516	+	0.286312i
$358$	−2.97556	+	1.60251i	−0.157263	+	0.0846950i
$359$	−12.5429	+	3.68293i	−0.661989	+	0.194377i	−0.595433	−	0.803405i	$-0.703019\pi$
$359$	−12.5429	+	3.68293i	−0.661989	+	0.194377i	−0.0665562	+	0.997783i	$0.521201\pi$
$360$	18.5638	−	15.9633i	0.978396	−	0.841340i
$361$	20.1919	−	5.92889i	1.06273	−	0.312047i
$362$	12.0936	+	33.0061i	0.635627	+	1.73476i
$363$	−12.1212	−	11.1326i	−0.636200	−	0.584310i
$364$	−16.2839	+	34.5920i	−0.853507	+	1.81311i
$365$			31.4101i			1.64408i
$366$	18.1512	−	12.6296i	0.948777	−	0.660162i
$367$	0.311628	+	0.270027i	0.0162668	+	0.0140953i	0.662956	−	0.748658i	$-0.269302\pi$
$367$	0.311628	+	0.270027i	0.0162668	+	0.0140953i	−0.646689	+	0.762753i	$0.723847\pi$
$368$	12.3147	−	13.5646i	0.641946	−	0.707105i
$369$	−24.6699	−	13.0391i	−1.28426	−	0.678788i
$370$	30.7637	−	22.7529i	1.59933	−	1.18287i
$371$	−12.5006	+	27.3724i	−0.648997	+	1.42111i
$372$	5.62144	+	5.28413i	0.291458	+	0.273969i
$373$	10.4170			0.539370			0.269685	−	0.962949i	$-0.413080\pi$
$373$	10.4170			0.539370			0.269685	+	0.962949i	$0.413080\pi$
$374$	−1.21224	+	1.59998i	−0.0626833	+	0.0827332i
$375$	−8.09414	+	2.12454i	−0.417980	+	0.109711i
$376$	5.48329	−	13.9567i	0.282779	−	0.719761i
$377$	−35.9224	+	16.4052i	−1.85010	+	0.844912i
$378$	17.7780	−	14.7592i	0.914403	−	0.759131i
$379$	−6.32661	+	5.48204i	−0.324976	+	0.281593i	−0.802034	−	0.597278i	$-0.796249\pi$
$379$	−6.32661	+	5.48204i	−0.324976	+	0.281593i	0.477058	+	0.878872i	$0.341703\pi$
$380$	−33.3912	+	14.7848i	−1.71293	+	0.758446i
$381$	−13.3677	+	3.50874i	−0.684848	+	0.179758i
$382$	−11.8331	+	6.37279i	−0.605434	+	0.326060i
$383$	−4.09824	−	28.5039i	−0.209410	−	1.45648i	−0.775088	−	0.631853i	$-0.782295\pi$
$383$	−4.09824	−	28.5039i	−0.209410	−	1.45648i	0.565678	−	0.824626i	$-0.308615\pi$
$384$	10.5614	−	16.5063i	0.538959	−	0.842332i
$385$	10.6548	−	3.12854i	0.543020	−	0.159445i
$386$	25.8768	−	25.5792i	1.31710	−	1.30195i
$387$	−3.43830	−	1.81729i	−0.174778	−	0.0923779i
$388$	−5.55214	−	4.92456i	−0.281867	−	0.250007i
$389$	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	$0.239808\pi$
$390$	−42.7281	−	4.55032i	−2.16362	−	0.230414i
$391$	−2.87166	+	4.46839i	−0.145226	+	0.225976i
$392$	−1.59695	−	8.00765i	−0.0806584	−	0.404447i
$393$	−4.65772	−	2.29208i	−0.234951	−	0.115620i
$394$	6.65987	−	8.79010i	0.335519	−	0.442839i
$395$	4.42562	−	30.7809i	0.222677	−	1.54875i
$396$	6.45254	+	3.50654i	0.324252	+	0.176210i
$397$	−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	$0.898094\pi$
$398$	−25.5690	−	14.1543i	−1.28166	−	0.709492i
$399$	−31.7500	+	13.4045i	−1.58949	+	0.671066i
$400$	11.3539	−	6.93089i	0.567696	−	0.346545i
$401$		−	0.408372i		−	0.0203931i	−0.999948	−	0.0101966i	$-0.996754\pi$
$401$		−	0.408372i		−	0.0203931i	0.999948	−	0.0101966i	$-0.00324572\pi$
$402$	−14.5077	+	13.8394i	−0.723576	+	0.690244i
$403$		−	13.5404i		−	0.674494i
$404$	−0.611528	−	0.403078i	−0.0304247	−	0.0200539i
$405$	22.2194	+	13.4413i	1.10409	+	0.667904i
$406$	13.9893	−	25.2708i	0.694277	−	1.25417i
$407$	9.65514	+	6.20498i	0.478588	+	0.307570i
$408$	−2.22946	+	5.22556i	−0.110375	+	0.258704i
$409$	−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	$0.972973\pi$
$410$	−30.2521	−	22.9207i	−1.49404	−	1.13197i
$411$	1.35800	−	2.75958i	0.0669850	−	0.136120i
$412$	−3.51727	−	7.94368i	−0.173283	−	0.391357i
$413$	20.6867	−	32.1891i	1.01792	−	1.58392i
$414$	17.7384	+	7.93437i	0.871796	+	0.389953i
$415$	45.9076	−	20.9653i	2.25352	−	1.02915i
$416$	−33.8032	+	6.33562i	−1.65734	+	0.310629i
$417$	−5.12624	+	29.5600i	−0.251033	+	1.44756i
$418$	−7.70038	−	7.78998i	−0.376638	−	0.381020i
$419$	−32.8539	+	9.64678i	−1.60502	+	0.471276i	−0.956937	−	0.290295i	$-0.906247\pi$
$419$	−32.8539	+	9.64678i	−1.60502	+	0.471276i	−0.648082	+	0.761571i	$0.724429\pi$
$420$	27.1055	−	15.9078i	1.32261	−	0.776220i
$421$	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	$0.870982\pi$
$422$	−10.9698	−	20.3690i	−0.534004	−	0.991548i
$423$	15.8782	+	0.919122i	0.772025	+	0.0446892i
$424$	−26.5457	+	5.29397i	−1.28917	+	0.257098i
$425$	−2.91463	+	2.52554i	−0.141380	+	0.122507i
$426$	−7.31430	−	1.85904i	−0.354379	−	0.0900707i
$427$	25.8203	−	11.7918i	1.24953	−	0.570643i
$428$	−2.06154	−	0.320790i	−0.0996484	−	0.0155060i
$429$	−3.27217	−	12.4664i	−0.157982	−	0.601883i
$430$	−4.21630	−	3.19451i	−0.203328	−	0.154053i
$431$	32.4572			1.56341			0.781705	−	0.623648i	$-0.214350\pi$
$431$	32.4572			1.56341			0.781705	+	0.623648i	$0.214350\pi$
$432$	20.1247	+	5.19593i	0.968249	+	0.249989i
$433$	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	$0.0601441\pi$
$434$	5.88908	+	7.96248i	0.282685	+	0.382211i
$435$	31.9855	+	5.54686i	1.53359	+	0.265952i
$436$	1.83828	−	6.00281i	0.0880376	−	0.287483i
$437$	−21.9044	−	18.9803i	−1.04783	−	0.907951i
$438$	−21.8877	+	15.2295i	−1.04584	+	0.727696i
$439$			18.6889i			0.891974i	0.895039	+	0.445987i	$0.147147\pi$
$439$			18.6889i			0.891974i	−0.895039	+	0.445987i	$0.852853\pi$
$440$	7.89148	+	6.12401i	0.376212	+	0.291951i
$441$	7.54421	−	4.25344i	0.359248	−	0.202545i
$442$	9.36226	−	3.43039i	0.445317	−	0.163167i
$443$	−20.7872	+	6.10366i	−0.987628	+	0.289994i	−0.735370	−	0.677666i	$-0.762991\pi$
$443$	−20.7872	+	6.10366i	−0.987628	+	0.289994i	−0.252258	+	0.967660i	$0.581173\pi$
$444$	30.7712	+	10.4053i	1.46034	+	0.493812i
$445$	−12.1457	+	3.56631i	−0.575763	+	0.169059i
$446$	−3.27632	−	6.08354i	−0.155138	−	0.288064i
$447$	14.7142	−	8.86593i	0.695956	−	0.419344i
$448$	17.1226	−	18.4276i	0.808966	−	0.870623i
$449$	−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	$0.874799\pi$
$450$	10.7347	+	9.15613i	0.506037	+	0.431624i
$451$	3.20736	−	10.9233i	0.151029	−	0.514356i
$452$	−2.19670	+	14.1170i	−0.103324	+	0.664010i
$453$	−5.88245	−	7.19909i	−0.276382	−	0.338243i
$454$	−2.34308	−	0.181209i	−0.109966	−	0.00850457i
$455$	−52.9246	−	15.5401i	−2.48115	−	0.728530i
$456$	−26.4927	−	16.0997i	−1.24064	−	0.753936i
$457$	−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	$0.933130\pi$
$458$	2.92517	−	2.89153i	0.136684	−	0.135112i
$459$	−6.00326	−	0.521983i	−0.280208	−	0.0243641i
$460$	22.0687	+	14.5462i	1.02896	+	0.678218i
$461$	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	$0.498765\pi$
$462$	7.34619	+	5.90777i	0.341776	+	0.274854i
$463$	−6.46873	−	10.0655i	−0.300627	−	0.467785i	0.657771	−	0.753218i	$-0.271499\pi$
$463$	−6.46873	−	10.0655i	−0.300627	−	0.467785i	−0.958399	+	0.285432i	$0.907863\pi$
$464$	25.7967	−	3.10169i	1.19758	−	0.143993i
$465$	−6.28580	+	9.18578i	−0.291497	+	0.425980i
$466$	14.2678	+	26.4926i	0.660941	+	1.22725i
$467$	−2.40806	+	16.7485i	−0.111432	+	0.775026i	0.855097	+	0.518468i	$0.173498\pi$
$467$	−2.40806	+	16.7485i	−0.111432	+	0.775026i	−0.966529	+	0.256558i	$0.917412\pi$
$468$	−17.5464	−	31.9808i	−0.811081	−	1.47831i
$469$	−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
$472$	34.3686	−	1.85931i	1.58194	−	0.0855818i
$473$	0.447016	−	1.52240i	0.0205538	−	0.0699999i
$474$	23.5951	−	11.8405i	1.08376	−	0.543853i
$475$	−11.3774	−	17.7036i	−0.522032	−	0.812297i
$476$	−4.01355	+	6.08916i	−0.183961	+	0.279096i
$477$	−14.1003	−	25.0094i	−0.645609	−	1.14510i
$478$	−17.9398	−	6.80965i	−0.820546	−	0.311466i
$479$	16.5552	−	19.1057i	0.756426	−	0.872962i	−0.238748	−	0.971081i	$-0.576737\pi$
$479$	16.5552	−	19.1057i	0.756426	−	0.872962i	0.995175	+	0.0981191i	$0.0312826\pi$
$480$	25.8732	+	11.3943i	1.18095	+	0.520075i
$481$	−23.6824	−	51.8572i	−1.07982	−	2.36449i
$482$	−26.1831	+	5.53735i	−1.19261	+	0.252220i
$483$	20.5860	+	14.0869i	0.936695	+	0.640978i
$484$	5.56458	−	18.1709i	0.252936	−	0.825949i
$485$	5.78859	−	9.00723i	0.262846	−	0.408997i
$486$	1.40691	+	22.0005i	0.0638186	+	0.997962i
$487$	5.86379	−	19.9702i	0.265714	−	0.904937i	−0.713251	−	0.700908i	$-0.752778\pi$
$487$	5.86379	−	19.9702i	0.265714	−	0.904937i	0.978965	−	0.204029i	$-0.0654037\pi$
$488$	22.1946	+	12.6240i	1.00470	+	0.571460i
$489$	3.47883	+	8.23996i	0.157318	+	0.372624i
$490$	11.0610	−	4.05282i	0.499686	−	0.183088i
$491$	7.41108	−	8.55284i	0.334457	−	0.385984i	−0.563464	−	0.826141i	$-0.690532\pi$
$491$	7.41108	−	8.55284i	0.334457	−	0.385984i	0.897921	+	0.440156i	$0.145077\pi$
$492$	1.30392	−	32.1941i	0.0587851	−	1.45142i
$493$	−7.22775	+	2.12226i	−0.325521	+	0.0955817i
$494$	11.2576	+	53.2310i	0.506504	+	2.39497i
$495$	−3.56740	+	9.97622i	−0.160343	+	0.448398i
$496$	−2.70694	+	8.48741i	−0.121545	+	0.381096i
$497$	−8.81223	−	4.02441i	−0.395283	−	0.180520i
$498$	36.8682	+	21.8249i	1.65211	+	0.977996i
$499$			2.33587i			0.104568i	0.998632	+	0.0522839i	$0.0166501\pi$
$499$			2.33587i			0.104568i	−0.998632	+	0.0522839i	$0.983350\pi$
$500$	−6.24295	−	7.37545i	−0.279193	−	0.329840i
$501$	16.7503	+	27.7993i	0.748349	+	1.24198i
$502$	−43.2511	−	3.34495i	−1.93039	−	0.149293i
$503$	4.16084	+	28.9393i	0.185523	+	1.29034i	0.843429	+	0.537240i	$0.180533\pi$
$503$	4.16084	+	28.9393i	0.185523	+	1.29034i	−0.657906	+	0.753100i	$0.728558\pi$
$504$	24.2275	+	11.1751i	1.07918	+	0.497777i
$505$	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
$508$	−10.3104	−	12.1808i	−0.457450	−	0.540434i
$509$	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	$0.620188\pi$
$510$	−7.94383	−	2.01904i	−0.351759	−	0.0894047i
$511$	−31.1357	+	14.2192i	−1.37736	+	0.629019i
$512$	22.4552	+	2.78649i	0.992388	+	0.123147i
$513$	7.48126	−	32.0192i	0.330306	−	1.41368i
$514$	−24.9002	+	18.4163i	−1.09830	+	0.812307i
$515$	10.5439	−	6.77613i	0.464618	−	0.298592i
$516$	0.181730	−	4.48697i	0.00800020	−	0.197528i
$517$	0.923475	+	6.42291i	0.0406144	+	0.282479i
$518$	36.4807	+	20.1948i	1.60287	+	0.887307i
$519$	3.47552	+	0.100507i	0.152558	+	0.00441178i
$520$	−16.5301	−	46.7826i	−0.724893	−	2.05155i
$521$	−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	$0.638174\pi$
$522$	11.6433	+	24.9782i	0.509612	+	1.09326i
$523$	−35.4589	+	16.1935i	−1.55051	+	0.708094i	−0.992557	−	0.121779i	$-0.961140\pi$
$523$	−35.4589	+	16.1935i	−1.55051	+	0.708094i	−0.557952	+	0.829873i	$0.688413\pi$
$524$	0.0693452	−	5.99382i	0.00302936	−	0.261841i
$525$	11.4599	+	14.0249i	0.500150	+	0.612096i
$526$	−1.55062	−	2.09656i	−0.0676103	−	0.0914143i
$527$	0.367571	−	2.55651i	0.0160117	−	0.111364i
$528$	−0.441164	+	8.46837i	−0.0191992	+	0.368539i
$529$	0.287744	−	2.00131i	0.0125106	−	0.0870133i
$530$	−13.4353	−	36.6678i	−0.583591	−	1.59275i
$531$	13.2211	+	34.0286i	0.573746	+	1.47672i
$532$	−29.7717	−	26.4065i	−1.29077	−	1.14487i
$533$	−42.7366	+	37.0315i	−1.85113	+	1.60401i
$534$	−8.37413	−	6.73444i	−0.362384	−	0.291428i
$535$		−	3.00998i		−	0.130133i
$536$	−21.6411	−	8.22566i	−0.934754	−	0.355294i
$537$	1.28046	−	3.93616i	0.0552561	−	0.169858i
$538$	−0.563302	+	1.48400i	−0.0242857	+	0.0639797i
$539$	2.31391	+	2.67039i	0.0996671	+	0.115022i
$540$	−2.94290	+	29.8412i	−0.126642	+	1.28416i
$541$	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	$0.635462\pi$
$542$	2.33051	−	0.853913i	0.100104	−	0.0366787i
$543$	−38.6283	−	19.0091i	−1.65770	−	0.815757i
$544$	−6.55426	+	0.278576i	−0.281012	+	0.0119439i
$545$	8.96506	+	1.28898i	0.384021	+	0.0552139i
$546$	−14.8322	−	44.4146i	−0.634760	−	1.90077i
$547$	16.2115	−	25.2256i	0.693154	−	1.07857i	−0.299085	−	0.954226i	$-0.596681\pi$
$547$	16.2115	−	25.2256i	0.693154	−	1.07857i	0.992239	−	0.124343i	$-0.0396822\pi$
$548$	3.55118	+	0.0410852i	0.151699	+	0.00175507i
$549$	−5.39693	+	26.5393i	−0.230335	+	1.13267i
$550$	−2.78790	+	5.03618i	−0.118877	+	0.214744i
$551$	−5.84980	−	40.6863i	−0.249210	−	1.73329i
$552$	0.563944	+	22.4312i	0.0240031	+	0.954733i
$553$	32.5154	−	9.54738i	1.38269	−	0.405996i
$554$	−1.47736	+	2.66876i	−0.0627669	+	0.113385i
$555$	−8.00739	+	46.1739i	−0.339895	+	1.95997i
$556$	−33.3499	+	9.37471i	−1.41435	+	0.397576i
$557$	−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	$0.952372\pi$
$558$	−9.44873	+	0.0736464i	−0.399997	+	0.00311770i
$559$	−5.95629	+	5.16116i	−0.251924	+	0.218294i
$560$	30.0676	+	20.3214i	1.27059	+	0.858734i
$561$	−0.279391	−	2.44257i	−0.0117959	−	0.103125i
$562$	−30.6022	+	2.01086i	−1.29087	+	0.0848230i
$563$	−7.77078	+	4.99397i	−0.327499	+	0.210471i	−0.694049	−	0.719927i	$-0.744175\pi$
$563$	−7.77078	+	4.99397i	−0.327499	+	0.210471i	0.366550	+	0.930398i	$0.380539\pi$
$564$	6.94691	+	17.0007i	0.292518	+	0.715859i
$565$	−20.6118			−0.867144
$566$	−5.93129	−	1.32625i	−0.249311	−	0.0557465i
$567$	−3.26528	+	28.1101i	−0.137129	+	1.18051i
$568$	−1.70433	−	8.54607i	−0.0715122	−	0.358585i
$569$	−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	$0.585803\pi$
$570$	17.0741	−	41.3379i	0.715155	−	1.73146i
$571$	−19.4665	−	16.8678i	−0.814647	−	0.705896i	0.144284	−	0.989536i	$-0.453912\pi$
$571$	−19.4665	−	16.8678i	−0.814647	−	0.705896i	−0.958931	+	0.283641i	$0.908458\pi$
$572$	11.3595	−	9.61524i	0.474964	−	0.402033i
$573$	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
$576$	4.60498	+	23.5541i	0.191874	+	0.981420i
$577$	−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	$0.634711\pi$
$578$	−21.6606	+	4.58091i	−0.900962	+	0.190541i
$579$	−1.28816	+	44.5444i	−0.0535342	+	1.85120i
$580$	10.1439	+	36.0863i	0.421204	+	1.49840i
$581$	41.5643	+	36.0156i	1.72438	+	1.49418i
$582$	9.08324	−	0.333548i	0.376512	−	0.0138260i
$583$	8.85246	−	7.67070i	0.366631	−	0.317688i
$584$	−26.7635	−	15.2227i	−1.10748	−	0.629920i
$585$	41.6979	−	32.1073i	1.72400	−	1.32747i
$586$	−1.34238	+	0.0882073i	−0.0554531	+	0.00364381i
$587$	−17.2831	−	11.1072i	−0.713350	−	0.458443i	0.132968	−	0.991120i	$-0.457549\pi$
$587$	−17.2831	−	11.1072i	−0.713350	−	0.458443i	−0.846318	+	0.532678i	$0.821186\pi$
$588$	8.18723	+	5.74268i	0.337636	+	0.236824i
$589$	13.5227	+	3.97062i	0.557193	+	0.163607i
$590$	10.2743	+	48.5817i	0.422988	+	2.00007i
$591$	1.53494	+	13.4191i	0.0631388	+	0.551990i
$592$	4.47757	+	37.2398i	0.184027	+	1.53055i
$593$	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	$0.636351\pi$
$594$	−8.68150	+	2.35119i	−0.356206	+	0.0964704i
$595$	−9.57068	−	4.37078i	−0.392360	−	0.179185i
$596$	16.5622	+	10.9167i	0.678415	+	0.447165i
$597$	34.6208	−	9.08723i	1.41693	−	0.371915i
$598$	28.0066	−	27.6845i	1.14528	−	1.13210i
$599$	−17.6994	−	5.19701i	−0.723177	−	0.212344i	−0.100627	−	0.994924i	$-0.532085\pi$
$599$	−17.6994	−	5.19701i	−0.723177	−	0.212344i	−0.622550	+	0.782580i	$0.713903\pi$
$600$	−4.19561	+	15.7423i	−0.171285	+	0.642677i
$601$	−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
$606$	0.882614	−	0.160157i	0.0358537	−	0.00650593i
$607$	−0.934561	+	3.18282i	−0.0379327	+	0.129187i	−0.976283	−	0.216500i	$-0.930536\pi$
$607$	−0.934561	+	3.18282i	−0.0379327	+	0.129187i	0.938350	+	0.345687i	$0.112354\pi$
$608$	3.58520	−	35.6169i	0.145399	−	1.44446i
$609$	8.98127	+	34.2171i	0.363939	+	1.38655i
$610$	−13.0728	+	34.4397i	−0.529301	+	1.39442i
$611$	13.3896	−	29.3192i	0.541687	−	1.18613i
$612$	−2.44471	−	6.51451i	−0.0988216	−	0.263334i
$613$	−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	$0.284435\pi$
$614$	−29.8234	−	30.1704i	−1.20357	−	1.21758i
$615$	46.1835	−	5.28265i	1.86230	−	0.213017i
$616$	−2.49807	+	10.5948i	−0.100650	+	0.426878i
$617$	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	$-0.243948\pi$
$618$	9.83418	+	4.06188i	0.395589	+	0.163393i
$619$	6.59804	−	10.2668i	0.265198	−	0.412656i	−0.682960	−	0.730456i	$-0.739308\pi$
$619$	6.59804	−	10.2668i	0.265198	−	0.412656i	0.948158	+	0.317800i	$0.102944\pi$
$620$	−12.6997	−	1.97615i	−0.510030	−	0.0793641i
$621$	−22.4237	+	7.97417i	−0.899831	+	0.319992i
$622$	−17.1840	−	1.32897i	−0.689015	−	0.0532870i
$623$	−9.03346	−	10.4252i	−0.361918	−	0.417675i
$624$	24.5851	−	34.2019i	0.984190	−	1.36917i
$625$	20.0181	−	23.1021i	0.800723	−	0.924084i
$626$	−13.0461	+	7.02605i	−0.521427	+	0.280818i
$627$	13.4097	+	0.387789i	0.535530	+	0.0154868i
$628$	−0.0880511	+	7.61066i	−0.00351362	+	0.303698i
$629$	−3.06367	−	10.4339i	−0.122156	−	0.416027i
$630$	−10.5563	+	37.0164i	−0.420574	+	1.47477i
$631$	35.9001	+	16.3950i	1.42916	+	0.652675i	0.971627	−	0.236518i	$-0.0760063\pi$
$631$	35.9001	+	16.3950i	1.42916	+	0.652675i	0.457532	+	0.889193i	$0.348734\pi$
$632$	24.0825	+	18.6887i	0.957950	+	0.743396i
$633$	26.9448	+	8.76533i	1.07096	+	0.348391i
$634$	18.0838	−	23.8681i	0.718199	−	0.947922i
$635$	15.0771	−	17.4000i	0.598318	−	0.690496i
$636$	19.0372	−	27.1410i	0.754875	−	1.07621i
$637$	−2.49781	−	17.3726i	−0.0989668	−	0.688329i
$638$	−9.03975	+	6.68583i	−0.357887	+	0.264695i
$639$	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	$-0.0706838\pi$
$642$	2.09747	−	1.45942i	0.0827805	−	0.0575989i
$643$	−18.0082	−	28.0213i	−0.710173	−	1.10505i	−0.989455	−	0.144842i	$-0.953733\pi$
$643$	−18.0082	−	28.0213i	−0.710173	−	1.10505i	0.279281	−	0.960209i	$-0.409904\pi$
$644$	−4.42869	+	28.4608i	−0.174515	+	1.12151i
$645$	6.43669	−	0.736255i	0.253444	−	0.0289900i
$646$	0.680488	+	10.3560i	0.0267734	+	0.407450i
$647$	25.5572	+	29.4946i	1.00476	+	1.15955i	0.987165	+	0.159705i	$0.0510544\pi$
$647$	25.5572	+	29.4946i	1.00476	+	1.15955i	0.0175914	+	0.999845i	$0.494400\pi$
$648$	−22.2214	+	12.4181i	−0.872938	+	0.487830i
$649$	−12.5299	+	8.05246i	−0.491841	+	0.316087i
$650$	25.1743	−	13.5577i	0.987416	−	0.531779i
$651$	−11.9511	−	2.07253i	−0.468399	−	0.0812289i
$652$	−6.85318	+	7.72654i	−0.268391	+	0.302595i
$653$	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	$0.717482\pi$
$654$	3.44860	+	6.87217i	0.134851	+	0.268723i
$655$	8.55985	−	1.23072i	0.334461	−	0.0480882i
$656$	34.1914	−	14.6684i	1.33495	−	0.572706i
$657$	6.50793	−	32.0026i	0.253899	−	1.24854i
$658$	4.87789	+	23.0648i	0.190160	+	0.899161i
$659$	3.50931	+	2.25530i	0.136703	+	0.0878539i	0.607205	−	0.794545i	$-0.292291\pi$
$659$	3.50931	+	2.25530i	0.136703	+	0.0878539i	−0.470502	+	0.882399i	$0.655927\pi$
$660$	−12.1699	+	1.24959i	−0.473714	+	0.0486403i
$661$	−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	$0.796471\pi$
$662$	11.4436	−	15.1040i	0.444769	−	0.587034i
$663$	−5.39197	+	10.9570i	−0.209407	+	0.425535i
$664$	−4.38502	+	49.2771i	−0.170172	+	1.91232i
$665$	31.0396	−	48.2985i	1.20366	−	1.87294i
$666$	−36.0582	+	16.8081i	−1.39723	+	0.651301i
$667$	−22.4844	+	19.4829i	−0.870600	+	0.754379i
$668$	−20.6248	+	31.2909i	−0.797997	+	1.21068i
$669$	8.04749	+	2.61791i	0.311134	+	0.101214i
$670$	6.92553	−	32.6751i	0.267557	−	1.26235i
$671$	−11.0493			−0.426553
$672$	0.417958	+	30.8053i	0.0161231	+	1.18834i
$673$	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	$0.536423\pi$
$674$	−10.2911	+	18.5903i	−0.396399	+	0.716072i
$675$	−17.2529	+	0.968350i	−0.664066	+	0.0372718i
$676$	−47.5126	+	6.27116i	−1.82741	+	0.241198i
$677$	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	$0.353111\pi$
$678$	−9.99385	−	14.3631i	−0.383812	−	0.551610i
$679$	11.5490	+	1.66049i	0.443210	+	0.0637239i
$680$	−1.85102	−	9.28161i	−0.0709833	−	0.355934i
$681$	2.22881	−	1.82119i	0.0854082	−	0.0697880i
$682$	−0.797653	−	3.77166i	−0.0305437	−	0.144424i
$683$	17.8066	+	38.9911i	0.681352	+	1.49195i	0.861204	+	0.508259i	$0.169711\pi$
$683$	17.8066	+	38.9911i	0.681352	+	1.49195i	−0.179852	+	0.983694i	$0.557562\pi$
$684$	37.0844	−	8.14530i	1.41796	−	0.311443i
$685$	0.729170	+	5.07149i	0.0278601	+	0.193772i
$686$	−12.8580	−	13.0076i	−0.490921	−	0.496634i
$687$	−0.145617	+	5.03539i	−0.00555563	+	0.192112i
$688$	4.76533	−	2.04437i	0.181677	−	0.0779409i
$689$	−57.5910	+	8.28034i	−2.19404	+	0.315456i
$690$	−31.8516	+	5.77971i	−1.21257	+	0.220030i
$691$	10.8083	+	16.8181i	0.411169	+	0.639791i	0.983642	−	0.180132i	$-0.0576525\pi$
$691$	10.8083	+	16.8181i	0.411169	+	0.639791i	−0.572474	+	0.819923i	$0.694016\pi$
$692$	1.62547	+	3.67110i	0.0617912	+	0.139554i
$693$	−11.5040	+	0.979952i	−0.437001	+	0.0372253i
$694$	−0.918521	−	13.9785i	−0.0348666	−	0.530616i
$695$	−20.7619	−	45.4622i	−0.787544	−	1.72448i
$696$	−20.2279	+	24.5655i	−0.766736	+	0.931154i
$697$	−9.07423	+	5.83166i	−0.343711	+	0.220890i
$698$	1.87716	+	1.42224i	0.0710514	+	0.0538325i
$699$	−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	$0.498284\pi$
$702$	42.5912	+	13.4891i	1.60750	+	0.509112i
$703$	58.7342	−	8.44471i	2.21520	−	0.318498i
$704$	−9.04262	+	3.75610i	−0.340807	+	0.141563i
$705$	−22.6943	+	13.6743i	−0.854717	+	0.515004i
$706$	10.2747	−	13.5611i	0.386692	−	0.510380i
$707$	1.15149			0.0433062
$708$	−28.8719	+	30.7149i	−1.08507	+	1.15434i
$709$	−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	$0.184680\pi$
$710$	11.8048	−	4.32533i	0.443025	−	0.162327i
$711$	−10.8867	+	30.4445i	−0.408282	+	1.14176i
$712$	2.84762	−	12.0774i	0.106719	−	0.452618i
$713$	−2.87389	−	9.78759i	−0.107628	−	0.366548i
$714$	−1.59473	−	8.78843i	−0.0596812	−	0.328899i
$715$	16.2268	+	14.0606i	0.606847	+	0.525836i
$716$	4.73844	−	0.625423i	0.177084	−	0.0233732i
$717$	21.6508	−	9.14075i	0.808563	−	0.341368i
$718$	18.4322	+	1.42551i	0.687882	+	0.0531994i
$719$	6.70114	+	1.96763i	0.249910	+	0.0733803i	0.404288	−	0.914632i	$-0.367519\pi$
$719$	6.70114	+	1.96763i	0.249910	+	0.0733803i	−0.154378	+	0.988012i	$0.549337\pi$
$720$	−32.5559	+	11.7895i	−1.21329	+	0.439368i
$721$	11.4901	+	7.38423i	0.427913	+	0.275003i
$722$	−29.6726	−	2.29482i	−1.10430	−	0.0854044i
$723$	18.5102	−	27.0499i	0.688401	−	1.00600i
$724$	0.575106	−	49.7090i	0.0213737	−	1.84742i
$725$	−19.6494	+	8.97360i	−0.729762	+	0.333271i
$726$	10.4391	+	20.8025i	0.387432	+	0.772052i
$727$	−8.73933	−	7.57268i	−0.324124	−	0.280855i	0.477565	−	0.878596i	$-0.341520\pi$
$727$	−8.73933	−	7.57268i	−0.324124	−	0.280855i	−0.801689	+	0.597741i	$0.796065\pi$
$728$	38.8908	−	37.5639i	1.44139	−	1.39221i
$729$	−19.8536	−	18.2985i	−0.735317	−	0.677724i
$730$	15.7639	−	41.5294i	0.583448	−	1.53707i
$731$	−1.26470	+	0.812770i	−0.0467765	+	0.0300614i
$732$	−30.3373	+	7.58888i	−1.12130	+	0.280493i
$733$	−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	$0.794860\pi$
$734$	−0.276504	−	0.513418i	−0.0102060	−	0.0189506i
$735$	−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
$738$	26.0737	+	29.6210i	0.959788	+	1.09037i
$739$	−4.90773	−	0.705625i	−0.180534	−	0.0259568i	0.0514549	−	0.998675i	$-0.483614\pi$
$739$	−4.90773	−	0.705625i	−0.180534	−	0.0259568i	−0.231989	+	0.972718i	$0.574523\pi$
$740$	−52.0938	+	14.6437i	−1.91501	+	0.538312i
$741$	−54.9932	−	37.6317i	−2.02023	−	1.38244i
$742$	30.2653	−	29.9172i	1.11107	−	1.09829i
$743$	3.80626	−	2.44613i	0.139638	−	0.0897400i	−0.468957	−	0.883221i	$-0.655370\pi$
$743$	3.80626	−	2.44613i	0.139638	−	0.0897400i	0.608595	+	0.793481i	$0.291734\pi$
$744$	−4.78052	−	9.80775i	−0.175262	−	0.359570i
$745$	−11.8883	+	26.0318i	−0.435555	+	0.953732i
$746$	−13.7730	−	5.22800i	−0.504264	−	0.191411i
$747$	−51.1174	+	11.8491i	−1.87029	+	0.433534i
$748$	2.40577	−	1.50705i	0.0879636	−	0.0551034i
$749$	2.98369	−	1.36260i	0.109021	−	0.0497884i
$750$	11.7680	+	1.25324i	0.429708	+	0.0457617i
$751$	2.67912	−	9.12423i	0.0977623	−	0.332948i	−0.896060	−	0.443934i	$-0.853583\pi$
$751$	2.67912	−	9.12423i	0.0977623	−	0.332948i	0.993822	+	0.110986i	$0.0354008\pi$
$752$	−14.2543	+	15.7011i	−0.519801	+	0.572562i
$753$	41.1418	−	33.6174i	1.49929	−	1.22509i
$754$	55.7288	−	3.66192i	2.02952	−	0.133359i
$755$	14.8600	+	4.36330i	0.540813	+	0.158797i
$756$	−30.9127	+	10.5918i	−1.12429	+	0.385219i
$757$	−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	$0.830391\pi$
$758$	11.1161	−	4.07301i	0.403756	−	0.147938i
$759$	−5.01122	−	8.31677i	−0.181896	−	0.301879i
$760$	51.5689	−	2.78983i	1.87060	−	0.101198i
$761$	−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	$0.939583\pi$
$762$	19.4353	+	2.06975i	0.704065	+	0.0749793i
$763$	2.78072	+	9.47025i	0.100669	+	0.342846i
$764$	18.8437	−	2.48716i	0.681740	−	0.0899823i
$765$	8.74444	−	4.93013i	0.316156	−	0.178249i
$766$	−8.88678	+	39.7436i	−0.321092	+	1.43600i
$767$	73.9830			2.67137
$768$	−22.2480	+	16.5235i	−0.802805	+	0.596242i
$769$	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	$0.164795\pi$
$770$	−15.6576	−	1.21092i	−0.564260	−	0.0436387i
$771$	6.48120	−	37.3733i	0.233415	−	1.34597i
$772$	−47.0510	+	20.8330i	−1.69340	+	0.749798i
$773$	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	$0.448109\pi$
$774$	3.63395	+	4.12835i	0.130620	+	0.148390i
$775$		−	7.40653i		−	0.266050i
$776$	4.86935	+	9.29756i	0.174799	+	0.333763i
$777$	−49.3954	+	12.9653i	−1.77205	+	0.465126i
$778$	−21.1127	+	1.38731i	−0.756926	+	0.0497374i
$779$	−24.4509	−	53.5400i	−0.876045	−	1.91827i
$780$	54.2099	+	27.4603i	1.94103	+	0.983238i
$781$	2.46949	+	2.84994i	0.0883653	+	0.101979i
$782$	6.03938	−	4.46674i	0.215968	−	0.159730i
$783$	−31.4396	−	12.2786i	−1.12356	−	0.438803i
$784$	−1.90739	+	11.3889i	−0.0681210	+	0.406747i
$785$	−10.8689	+	1.56271i	−0.387927	+	0.0557754i
$786$	5.00795	+	5.36810i	0.178628	+	0.191474i
$787$	7.91079	+	26.9417i	0.281989	+	0.960366i	0.971687	+	0.236270i	$0.0759249\pi$
$787$	7.91079	+	26.9417i	0.281989	+	0.960366i	−0.689698	+	0.724097i	$0.742257\pi$
$788$	−13.2170	+	8.27956i	−0.470835	+	0.294947i
$789$	3.14677	+	0.545707i	0.112028	+	0.0194277i
$790$	−21.2995	+	38.4763i	−0.757802	+	1.36893i
$791$	−9.33084	−	20.4317i	−0.331766	−	0.726467i
$792$	−6.77149	−	7.87458i	−0.240614	−	0.279811i
$793$	46.1714	+	29.6726i	1.63960	+	1.05370i
$794$	21.0574	+	28.4712i	0.747298	+	1.01040i
$795$	42.9137	+	21.1179i	1.52199	+	0.748975i
$796$	26.7027	+	31.5467i	0.946453	+	1.11814i
$797$	−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	$0.963596\pi$
$798$	48.7061	−	1.78855i	1.72418	−	0.0633140i
$799$	3.32397	−	5.17219i	0.117593	−	0.182979i
$800$	−18.4902	+	3.46556i	−0.653728	+	0.122526i
$801$	13.1137	−	1.11708i	0.463351	−	0.0394699i
$802$	−0.204951	+	0.539935i	−0.00723707	+	0.0190658i
$803$	13.3239			0.470189
$804$	26.1271	−	11.0169i	0.921433	−	0.388537i
$805$	−41.5546			−1.46461
$806$	−6.79555	+	17.9026i	−0.239363	+	0.630593i
$807$	−0.756134	−	1.79098i	−0.0266172	−	0.0630454i
$808$	0.606248	+	0.839845i	0.0213277	+	0.0295457i
$809$	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	$0.0171958\pi$
$810$	−22.6319	−	28.9230i	−0.795203	−	1.01625i
$811$	−38.7858	−	5.57656i	−1.36196	−	0.195820i	−0.577696	−	0.816252i	$-0.696048\pi$
$811$	−38.7858	−	5.57656i	−1.36196	−	0.195820i	−0.784260	+	0.620433i	$0.786957\pi$
$812$	−31.1789	+	26.3914i	−1.09417	+	0.926156i
$813$	−1.34220	+	2.72749i	−0.0470731	+	0.0956571i
$814$	−9.65158	−	13.0497i	−0.338288	−	0.457391i
$815$	−12.5347	−	8.05559i	−0.439073	−	0.282175i
$816$	5.57029	−	5.79015i	0.194999	−	0.202696i
$817$	−3.40778	−	7.46199i	−0.119223	−	0.261062i
$818$	6.25398	−	11.2975i	0.218665	−	0.395006i
$819$	50.7031	+	26.7988i	1.77171	+	0.936425i
$820$	28.4950	+	45.4877i	0.995089	+	1.58850i
$821$	−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	$-0.285390\pi$
$822$	−3.18045	+	2.96708i	−0.110931	+	0.103489i
$823$	53.1802	−	7.64615i	1.85374	−	0.266528i	0.876930	−	0.480618i	$-0.159587\pi$
$823$	53.1802	−	7.64615i	1.85374	−	0.266528i	0.976814	+	0.214089i	$0.0686784\pi$
$824$	0.663693	+	12.2681i	0.0231208	+	0.427379i
$825$	−1.78986	−	6.81907i	−0.0623150	−	0.237410i
$826$	−43.5060	+	32.1772i	−1.51377	+	1.11959i
$827$	10.1412	+	11.7036i	0.352645	+	0.406974i	0.904162	−	0.427190i	$-0.140496\pi$
$827$	10.1412	+	11.7036i	0.352645	+	0.406974i	−0.551517	+	0.834163i	$0.685951\pi$
$828$	−19.4711	−	19.3930i	−0.676668	−	0.673953i
$829$	−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	$0.929042\pi$
$830$	−71.2195	+	4.67981i	−2.47206	+	0.162439i
$831$	−0.948479	−	3.61354i	−0.0329024	−	0.125352i
$832$	47.8731	+	8.58818i	1.65970	+	0.297741i
$833$		−	3.34788i		−	0.115997i
$834$	21.6131	−	36.5105i	0.748402	−	1.26426i
$835$	−49.1817	−	22.4605i	−1.70200	−	0.777278i
$836$	6.27159	+	14.1643i	0.216908	+	0.489881i
$837$	8.30759	−	8.05667i	0.287152	−	0.278479i
$838$	48.2798	+	3.73386i	1.66780	+	0.128984i
$839$	26.7199	−	30.8364i	0.922472	−	1.06459i	−0.0752522	−	0.997165i	$-0.523976\pi$
$839$	26.7199	−	30.8364i	0.922472	−	1.06459i	0.997724	−	0.0674251i	$-0.0214784\pi$
$840$	−43.8217	+	7.42918i	−1.51199	+	0.256331i
$841$	−13.1930			−0.454932
$842$	3.28653	−	14.6981i	0.113261	−	0.506529i
$843$	25.4073	−	27.6636i	0.875074	−	0.952785i
$844$	4.28130	+	32.4367i	0.147368	+	1.11652i
$845$	−19.4793	−	66.3404i	−0.670108	−	2.28218i
$846$	−20.5324	−	9.18409i	−0.705917	−	0.315755i
$847$	8.41740	+	28.6670i	0.289225	+	0.985011i
$848$	37.7547	+	6.32307i	1.29650	+	0.217135i
$849$	6.37576	−	3.84167i	0.218815	−	0.131846i
$850$	5.12112	−	1.87641i	0.175653	−	0.0643602i
$851$	−28.1252	−	32.4582i	−0.964120	−	1.11265i
$852$	8.73772	+	6.12881i	0.299349	+	0.209970i
$853$	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	$0.435021\pi$
$854$	−40.0568	+	2.63212i	−1.37071	+	0.0900692i
$855$	19.8377	+	51.0587i	0.678436	+	1.74617i
$856$	2.56471	+	1.45877i	0.0876599	+	0.0498598i
$857$	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	$0.0187752\pi$
$858$	−1.93020	+	18.1249i	−0.0658960	+	0.618772i
$859$	13.4308	−	6.13365i	0.458254	−	0.209278i	−0.172893	−	0.984941i	$-0.555312\pi$
$859$	13.4308	−	6.13365i	0.458254	−	0.209278i	0.631147	+	0.775663i	$0.282584\pi$
$860$	3.97141	+	6.33971i	0.135424	+	0.216182i
$861$	26.1435	+	43.3885i	0.890969	+	1.47868i
$862$	−42.9139	−	16.2894i	−1.46165	−	0.554820i
$863$	9.61737	−	21.0591i	0.327379	−	0.716860i	−0.672348	−	0.740236i	$-0.734714\pi$
$863$	9.61737	−	21.0591i	0.327379	−	0.716860i	0.999727	+	0.0233752i	$0.00744123\pi$
$864$	−24.0005	−	16.9699i	−0.816512	−	0.577328i
$865$	−4.87275	+	3.13152i	−0.165678	+	0.106475i
$866$	−9.92727	+	9.81308i	−0.337342	+	0.333462i
$867$	15.3130	−	22.3777i	0.520056	−	0.759986i
$868$	−3.79018	−	13.4833i	−0.128647	−	0.457653i
$869$	−13.0570	−	1.87731i	−0.442927	−	0.0636833i
$870$	−39.5063	−	23.3866i	−1.33939	−	0.792879i
$871$	−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
$874$	19.4356	+	36.0883i	0.657418	+	1.22071i
$875$	14.5764	+	4.28001i	0.492771	+	0.144691i
$876$	36.5825	−	9.15111i	1.23601	−	0.309187i
$877$	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	$0.278392\pi$
$878$	9.37948	−	24.7099i	0.316542	−	0.833918i
$879$	1.11450	−	1.21348i	0.0375912	−	0.0409295i
$880$	−7.36037	−	12.0575i	−0.248118	−	0.406458i
$881$	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	$0.414922\pi$
$882$	−12.1094	+	1.83751i	−0.407744	+	0.0618722i
$883$	−45.4168	+	20.7411i	−1.52840	+	0.697995i	−0.989521	−	0.144390i	$-0.953878\pi$
$883$	−45.4168	+	20.7411i	−1.52840	+	0.697995i	−0.538875	+	0.842386i	$0.681151\pi$
$884$	−14.1001	−	0.163130i	−0.474237	−	0.00548666i
$885$	−50.1900	−	34.3449i	−1.68712	−	1.15449i
$886$	30.5473	+	2.36247i	1.02626	+	0.0793687i
$887$	−4.79883	−	3.08402i	−0.161129	−	0.103551i	0.457591	−	0.889163i	$-0.348712\pi$
$887$	−4.79883	−	3.08402i	−0.161129	−	0.103551i	−0.618720	+	0.785611i	$0.712349\pi$
$888$	−35.4625	−	29.2007i	−1.19004	−	0.979913i
$889$	24.0733	+	7.06855i	0.807391	+	0.237072i
$890$	17.8485	+	1.38037i	0.598284	+	0.0462700i
$891$	5.70168	−	9.42526i	0.191014	−	0.315758i
$892$	1.27868	+	9.68775i	0.0428133	+	0.324370i
$893$	25.3545	+	21.9698i	0.848457	+	0.735192i
$894$	−23.9041	+	4.33759i	−0.799474	+	0.145071i
$895$	1.94267	+	6.61613i	0.0649364	+	0.221153i
$896$	−31.8872	+	15.7710i	−1.06528	+	0.526872i
$897$	−1.39418	+	48.2106i	−0.0465505	+	1.60970i
$898$	53.4061	−	19.5683i	1.78219	−	0.653003i
$899$	6.00970	−	13.1594i	0.200435	−	0.438891i
$900$	−9.59779	−	17.4934i	−0.319926	−	0.583112i
$901$	−11.0984			−0.369740
$902$	−9.72275	+	12.8327i	−0.323732	+	0.427281i
$903$	3.64368	+	6.04715i	0.121254	+	0.201237i
$904$	9.98937	−	17.5626i	0.332242	−	0.584123i
$905$	70.9901	−	10.2068i	2.35979	−	0.339287i
$906$	4.16455	+	12.4706i	0.138358	+	0.414309i
$907$	−33.4670	−	15.2839i	−1.11125	−	0.507492i	−0.226716	−	0.973961i	$-0.572799\pi$
$907$	−33.4670	−	15.2839i	−1.11125	−	0.507492i	−0.884538	+	0.466469i	$0.845526\pi$
$908$	3.00700	+	1.41552i	0.0997908	+	0.0469757i
$909$	−0.646381	+	0.888357i	−0.0214391	+	0.0294649i
$910$	62.1760	+	47.1080i	2.06111	+	1.56162i
$911$	−11.8851	+	7.63811i	−0.393772	+	0.253062i	−0.722512	−	0.691359i	$-0.757012\pi$
$911$	−11.8851	+	7.63811i	−0.393772	+	0.253062i	0.328740	+	0.944420i	$0.393376\pi$
$912$	26.9478	+	34.5824i	0.892331	+	1.14514i
$913$	−8.89330	−	19.4736i	−0.294325	−	0.644482i
$914$	0.858686	+	13.0679i	0.0284028	+	0.432247i
$915$	−17.5479	−	41.5639i	−0.580115	−	1.37406i
$916$	−5.31875	+	2.35501i	−0.175736	+	0.0778118i
$917$	5.09497	+	7.92792i	0.168251	+	0.261803i
$918$	7.67534	+	3.70303i	0.253324	+	0.122218i
$919$	1.34362	−	0.193183i	0.0443218	−	0.00637252i	−0.120118	−	0.992760i	$-0.538327\pi$
$919$	1.34362	−	0.193183i	0.0443218	−	0.00637252i	0.164440	+	0.986387i	$0.447418\pi$
$920$	−21.8781	−	30.3081i	−0.721301	−	0.999229i
$921$	51.9353	+	1.50190i	1.71133	+	0.0494892i
$922$	−17.8857	−	18.0939i	−0.589036	−	0.595890i
$923$	−2.66576	−	18.5407i	−0.0877445	−	0.610276i
$924$	−6.74793	−	11.4979i	−0.221991	−	0.378253i
$925$	−12.9542	−	28.3657i	−0.425931	−	0.932659i
$926$	3.50111	+	16.5548i	0.115054	+	0.544025i
$927$	−12.1467	+	4.71934i	−0.398950	+	0.155003i
$928$	−35.6641	−	8.84571i	−1.17073	−	0.290375i
$929$	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	$0.424016\pi$
$930$	12.9210	−	8.99045i	0.423695	−	0.294808i
$931$	18.0824	+	2.59986i	0.592628	+	0.0852070i
$932$	−5.56840	−	42.1883i	−0.182399	−	1.38192i
$933$	16.3459	−	13.3564i	0.535141	−	0.437270i
$934$	11.5895	−	20.9357i	0.379219	−	0.685037i
$935$	2.68203	+	3.09523i	0.0877119	+	0.101225i
$936$	7.14889	+	51.0900i	0.233669	+	1.66993i
$937$	8.15320			0.266354			0.133177	−	0.991092i	$-0.457482\pi$
$937$	8.15320			0.266354			0.133177	+	0.991092i	$0.457482\pi$
$938$	35.5247	−	7.92681i	1.15992	−	0.258820i
$939$	5.61409	−	17.2578i	0.183209	−	0.563187i
$940$	−25.5447	−	16.8373i	−0.833175	−	0.549172i
$941$	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	$0.199170\pi$
$942$	−6.35885	−	6.81614i	−0.207183	−	0.222082i
$943$	−23.0321	+	35.8387i	−0.750030	+	1.16707i
$944$	−46.3742	−	14.7904i	−1.50935	−	0.481386i
$945$	−21.9563	−	41.7180i	−0.714237	−	1.35709i
$946$	−1.35508	+	1.78852i	−0.0440575	+	0.0581497i
$947$	2.59711	−	18.0633i	0.0843948	−	0.586979i	−0.903112	−	0.429404i	$-0.858724\pi$
$947$	2.59711	−	18.0633i	0.0843948	−	0.586979i	0.987507	−	0.157574i	$-0.0503674\pi$
$948$	−37.1390	+	3.81339i	−1.20622	+	0.123853i
$949$	−55.6762	−	35.7809i	−1.80733	−	1.16150i
$950$	6.15787	+	29.1171i	0.199788	+	0.944684i
$951$	4.16787	+	36.4375i	0.135152	+	1.18157i
$952$	8.36257	−	6.03658i	0.271033	−	0.195647i
$953$	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	$0.287208\pi$
$954$	6.09142	+	40.1431i	0.197217	+	1.29968i
$955$	7.72555	+	26.3108i	0.249993	+	0.851398i
$956$	20.3018	+	18.0070i	0.656606	+	0.582387i
$957$	2.35293	−	13.5680i	0.0760594	−	0.438590i
$958$	−31.4774	+	16.9523i	−1.01699	+	0.547704i
$959$	−4.69708	+	3.01863i	−0.151677	+	0.0974767i
$960$	−28.4902	−	28.0502i	−0.919518	−	0.905316i
$961$	−17.0524	−	19.6796i	−0.550078	−	0.634824i
$962$	5.28631	+	80.4494i	0.170437	+	2.59379i
$963$	−0.623645	+	3.06676i	−0.0200967	+	0.0988249i
$964$	37.3974	+	5.81928i	1.20449	+	0.187427i
$965$	−40.1355	−	62.4521i	−1.29201	−	2.01040i
$966$	−20.1482	−	28.9568i	−0.648259	−	0.931670i
$967$			26.4002i			0.848972i	0.905435	+	0.424486i	$0.139545\pi$
$967$			26.4002i			0.848972i	−0.905435	+	0.424486i	$0.860455\pi$
$968$	−16.4768	+	21.2322i	−0.529584	+	0.682429i
$969$	−9.36154	−	8.59800i	−0.300736	−	0.276207i
$970$	−12.1740	+	9.00391i	−0.390883	+	0.289098i
$971$	−0.724391	−	5.03825i	−0.0232468	−	0.161685i	0.974891	−	0.222682i	$-0.0714812\pi$
$971$	−0.724391	−	5.03825i	−0.0232468	−	0.161685i	−0.998138	+	0.0609968i	$0.980572\pi$
$972$	9.18128	−	29.7944i	0.294490	−	0.955655i
$973$	35.6662	−	41.1610i	1.14341	−	1.31956i
$974$	−17.7754	+	23.4611i	−0.569561	+	0.751741i
$975$	−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	$0.564254\pi$
$978$	−0.464176	−	12.6405i	−0.0148427	−	0.404199i
$979$	1.51280	+	5.15211i	0.0483492	+	0.164662i
$980$	−16.6585	−	0.192730i	−0.532137	−	0.00615654i
$981$	−8.86710	−	3.17079i	−0.283105	−	0.101235i
$982$	−14.0911	+	7.58885i	−0.449666	+	0.242170i
$983$	−16.5673	+	19.1196i	−0.528414	+	0.609822i	−0.955717	−	0.294286i	$-0.904918\pi$
$983$	−16.5673	+	19.1196i	−0.528414	+	0.609822i	0.427304	+	0.904108i	$0.359464\pi$
$984$	−17.8814	+	41.9116i	−0.570038	+	1.33609i
$985$	−14.7347	−	17.0048i	−0.469488	−	0.541818i
$986$	10.6214	+	0.821436i	0.338254	+	0.0261599i
$987$	−23.8284	−	16.3057i	−0.758467	−	0.519017i
$988$	11.8308	−	76.0301i	0.376387	−	2.41884i
$989$	−3.21004	+	4.99492i	−0.102073	+	0.158829i
$990$	9.72349	−	11.3998i	0.309033	−	0.362311i
$991$	−11.1703	+	38.0426i	−0.354837	+	1.20846i	0.567921	+	0.823083i	$0.307748\pi$
$991$	−11.1703	+	38.0426i	−0.354837	+	1.20846i	−0.922758	+	0.385381i	$0.874070\pi$
$992$	7.83862	−	9.86322i	0.248877	−	0.313158i
$993$	2.63748	+	23.0581i	0.0836978	+	0.731726i
$994$	9.63149	+	9.74357i	0.305492	+	0.309047i
$995$	−39.0480	+	45.0638i	−1.23791	+	1.42862i
$996$	−37.7926	−	47.3593i	−1.19750	−	1.50064i
$997$	−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	$0.864940\pi$
$998$	1.17231	−	3.08841i	0.0371088	−	0.0977618i
$999$	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.59.15	yes	1320
3.2	odd	2	inner	804.2.w.a.59.118	yes	1320
4.3	odd	2	inner	804.2.w.a.59.3	✓	1320
12.11	even	2	inner	804.2.w.a.59.130	yes	1320
67.25	even	11	inner	804.2.w.a.695.130	yes	1320
201.92	odd	22	inner	804.2.w.a.695.3	yes	1320
268.159	odd	22	inner	804.2.w.a.695.118	yes	1320
804.695	even	22	inner	804.2.w.a.695.15	yes	1320

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

\(f(q)\)	\(=\)	\(q+(-1.32217 - 0.501873i) q^{2} +(1.59567 - 0.673676i) q^{3} +(1.49625 + 1.32712i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(-2.44784 + 0.0898878i) q^{6} +(-3.11234 - 0.447486i) q^{7} +(-1.31224 - 2.50560i) q^{8} +(2.09232 - 2.14993i) q^{9} +O(q^{10})\)	\(q+(-1.32217 - 0.501873i) q^{2} +(1.59567 - 0.673676i) q^{3} +(1.49625 + 1.32712i) q^{4} +(-1.55997 + 2.42736i) q^{5} +(-2.44784 + 0.0898878i) q^{6} +(-3.11234 - 0.447486i) q^{7} +(-1.31224 - 2.50560i) q^{8} +(2.09232 - 2.14993i) q^{9} +(3.28076 - 2.42646i) q^{10} +(1.02966 + 0.661724i) q^{11} +(3.28156 + 1.10966i) q^{12} +(-2.52559 - 5.53026i) q^{13} +(3.89044 + 2.15365i) q^{14} +(-0.853940 + 4.92417i) q^{15} +(0.477506 + 3.97140i) q^{16} +(-0.326722 - 1.11271i) q^{17} +(-3.84539 + 1.79248i) q^{18} +(6.26365 - 0.900577i) q^{19} +(-5.55549 + 1.56166i) q^{20} +(-5.26772 + 1.38267i) q^{21} +(-1.02928 - 1.39167i) q^{22} +(-2.99938 - 3.46147i) q^{23} +(-3.78186 - 3.11408i) q^{24} +(-1.38149 - 3.02503i) q^{25} +(0.563753 + 8.57945i) q^{26} +(1.89030 - 4.84012i) q^{27} +(-4.06295 - 4.79999i) q^{28} -6.49562i q^{29} +(3.60036 - 6.08200i) q^{30} +(2.02589 + 0.925194i) q^{31} +(1.36180 - 5.49049i) q^{32} +(2.08879 + 0.362234i) q^{33} +(-0.126460 + 1.63516i) q^{34} +(5.94135 - 6.85668i) q^{35} +(5.98384 - 0.440062i) q^{36} +9.37700 q^{37} +(-8.73356 - 1.95285i) q^{38} +(-7.75560 - 7.12304i) q^{39} +(8.12903 + 0.723378i) q^{40} +(-2.62047 - 8.92450i) q^{41} +(7.65872 + 0.815614i) q^{42} +(-0.365221 - 1.24383i) q^{43} +(0.662442 + 2.35659i) q^{44} +(1.95469 + 8.43263i) q^{45} +(2.22846 + 6.08196i) q^{46} +(3.47181 + 4.00668i) q^{47} +(3.43738 + 6.01535i) q^{48} +(2.76994 + 0.813329i) q^{49} +(0.308371 + 4.69292i) q^{50} +(-1.27095 - 1.55542i) q^{51} +(3.56042 - 11.6264i) q^{52} +(2.69622 - 9.18248i) q^{53} +(-4.92841 + 5.45075i) q^{54} +(-3.21248 + 1.46709i) q^{55} +(2.96291 + 8.38548i) q^{56} +(9.38802 - 5.65670i) q^{57} +(-3.25998 + 8.58828i) q^{58} +(-5.05515 + 11.0692i) q^{59} +(-7.81267 + 6.23449i) q^{60} +(-7.59440 + 4.88063i) q^{61} +(-2.21424 - 2.24000i) q^{62} +(-7.47407 + 5.75502i) q^{63} +(-4.55605 + 6.57589i) q^{64} +(17.3637 + 2.49653i) q^{65} +(-2.57993 - 1.52724i) q^{66} +(6.12607 - 5.42874i) q^{67} +(0.987846 - 2.09849i) q^{68} +(-7.11794 - 3.50275i) q^{69} +(-11.2966 + 6.08387i) q^{70} +(2.95619 + 0.868016i) q^{71} +(-8.13249 - 2.42130i) q^{72} +(9.15777 - 5.88534i) q^{73} +(-12.3979 - 4.70606i) q^{74} +(-4.24228 - 3.89628i) q^{75} +(10.5671 + 6.96513i) q^{76} +(-2.90854 - 2.52027i) q^{77} +(6.67933 + 13.3102i) q^{78} +(-9.80355 + 4.47713i) q^{79} +(-10.3849 - 5.03617i) q^{80} +(-0.244385 - 8.99668i) q^{81} +(-1.01427 + 13.1148i) q^{82} +(-14.7143 - 9.45630i) q^{83} +(-9.71677 - 4.92209i) q^{84} +(3.21062 + 0.942724i) q^{85} +(-0.141361 + 1.82784i) q^{86} +(-4.37594 - 10.3649i) q^{87} +(0.306851 - 3.44826i) q^{88} +(3.31553 + 2.87293i) q^{89} +(1.64769 - 12.1303i) q^{90} +(5.38575 + 18.3422i) q^{91} +(0.105973 - 9.15976i) q^{92} +(3.85593 + 0.111508i) q^{93} +(-2.57946 - 7.03991i) q^{94} +(-7.58507 + 16.6090i) q^{95} +(-1.52584 - 9.67842i) q^{96} -3.71072 q^{97} +(-3.25414 - 2.46552i) 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

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