LMFDB - Embedded newform 798.2.ca.a.325.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (of order $18$, degree $6$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			325.11
Character	$\chi$	$=$	798.325
Dual form			798.2.ca.a.523.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(1.30926 - 1.56032i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-0.604794 + 2.57570i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(1.30926 - 1.56032i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-0.604794 + 2.57570i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.91401 + 0.696644i) q^{10} +(2.44952 + 4.24270i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-4.97304 + 4.17288i) q^{13} +(-2.62722 + 0.312620i) q^{14} +(0.696644 - 1.91401i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.911330 - 1.08608i) q^{17} +(0.866025 + 0.500000i) q^{18} +(4.16101 - 1.29847i) q^{19} +2.03685i q^{20} +(0.312620 + 2.62722i) q^{21} +(-3.14905 + 3.75289i) q^{22} +(0.133816 + 0.758909i) q^{23} +(-0.984808 - 0.173648i) q^{24} +(0.147816 + 0.838308i) q^{25} +(-5.62211 - 3.24592i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-1.19233 - 2.36185i) q^{28} +(5.79237 - 1.02135i) q^{29} +2.03685 q^{30} +2.31794 q^{31} +(0.984808 - 0.173648i) q^{32} +(3.75289 + 3.14905i) q^{33} +(1.33228 + 0.484909i) q^{34} +(3.22708 + 4.31594i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(4.70628 - 2.71717i) q^{37} +(2.64331 + 3.46596i) q^{38} +(-3.24592 + 5.62211i) q^{39} +(-1.91401 + 0.696644i) q^{40} +(-2.76441 - 2.31962i) q^{41} +(-2.36185 + 1.19233i) q^{42} +(1.03737 - 0.377572i) q^{43} +(-4.60360 - 1.67557i) q^{44} -2.03685i q^{45} +(-0.667373 + 0.385308i) q^{46} +(4.56120 + 5.43583i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(-6.26845 - 3.11554i) q^{49} +(-0.737195 + 0.425620i) q^{50} +(0.484909 - 1.33228i) q^{51} +(1.12730 - 6.39322i) q^{52} +(3.80882 + 4.53918i) q^{53} +(0.984808 + 0.173648i) q^{54} +(9.82703 + 1.73277i) q^{55} +(1.81162 - 1.92822i) q^{56} +(3.46596 - 2.64331i) q^{57} +(2.94086 + 5.09372i) q^{58} +(-10.3072 - 8.64879i) q^{59} +(0.696644 + 1.91401i) q^{60} +(-15.0446 + 2.65277i) q^{61} +(0.792783 + 2.17815i) q^{62} +(1.19233 + 2.36185i) q^{63} +(0.500000 + 0.866025i) q^{64} +13.2229i q^{65} +(-1.67557 + 4.60360i) q^{66} +(5.26999 - 14.4792i) q^{67} +1.41778i q^{68} +(0.385308 + 0.667373i) q^{69} +(-2.95193 + 4.50860i) q^{70} +(0.482904 + 1.32677i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(-1.54139 - 4.23493i) q^{73} +(4.16295 + 3.49313i) q^{74} +(0.425620 + 0.737195i) q^{75} +(-2.35288 + 3.66933i) q^{76} +(-12.4094 + 3.74327i) q^{77} +(-6.39322 - 1.12730i) q^{78} +(0.613694 + 0.108211i) q^{79} +(-1.30926 - 1.56032i) q^{80} +(0.173648 - 0.984808i) q^{81} +(1.23424 - 3.39106i) q^{82} +(-6.45634 + 3.72757i) q^{83} +(-1.92822 - 1.81162i) q^{84} +(-0.501461 - 2.84393i) q^{85} +(0.709604 + 0.845673i) q^{86} +(5.09372 - 2.94086i) q^{87} -4.89905i q^{88} +(-11.1118 - 4.04438i) q^{89} +(1.91401 - 0.696644i) q^{90} +(-7.74041 - 15.3328i) q^{91} +(-0.590326 - 0.495342i) q^{92} +(2.17815 - 0.792783i) q^{93} +(-3.54799 + 6.14529i) q^{94} +(3.42182 - 8.19253i) q^{95} +(0.866025 - 0.500000i) q^{96} +(3.08952 - 17.5216i) q^{97} +(0.783710 - 6.95599i) q^{98} +(4.60360 + 1.67557i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7}+O(q^{10}) $ 72 * q - 6 * q^7	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{18}\right)$	$1$

Coefficient data

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

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

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

$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$2$	0.342020	+	0.939693i	0.241845	+	0.664463i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	1.30926	−	1.56032i	0.585520	−	0.697795i	−0.389218	−	0.921146i	$-0.627255\pi$
$5$	1.30926	−	1.56032i	0.585520	−	0.697795i	0.974738	+	0.223350i	$0.0716993\pi$
$6$	0.642788	+	0.766044i	0.262417	+	0.312736i
$7$	−0.604794	+	2.57570i	−0.228591	+	0.973523i
$7$	−0.604794	+	2.57570i	−0.228591	+	0.973523i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	1.91401	+	0.696644i	0.605264	+	0.220298i
$11$	2.44952	+	4.24270i	0.738559	+	1.27922i	0.953144	+	0.302516i	$0.0978267\pi$
$11$	2.44952	+	4.24270i	0.738559	+	1.27922i	−0.214585	+	0.976705i	$0.568840\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−4.97304	+	4.17288i	−1.37927	+	1.15735i	−0.409794	+	0.912178i	$0.634400\pi$
$13$	−4.97304	+	4.17288i	−1.37927	+	1.15735i	−0.969480	+	0.245171i	$0.921156\pi$
$14$	−2.62722	+	0.312620i	−0.702153	+	0.0835513i
$15$	0.696644	−	1.91401i	0.179873	−	0.494196i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	0.911330	−	1.08608i	0.221030	−	0.263413i	−0.644122	−	0.764923i	$-0.722777\pi$
$17$	0.911330	−	1.08608i	0.221030	−	0.263413i	0.865152	+	0.501509i	$0.167222\pi$
$18$	0.866025	+	0.500000i	0.204124	+	0.117851i
$19$	4.16101	−	1.29847i	0.954600	−	0.297889i
$19$	4.16101	−	1.29847i	0.954600	−	0.297889i
$20$			2.03685i			0.455454i
$21$	0.312620	+	2.62722i	0.0682193	+	0.573306i
$22$	−3.14905	+	3.75289i	−0.671379	+	0.800118i
$23$	0.133816	+	0.758909i	0.0279026	+	0.158243i	0.995575	−	0.0939651i	$-0.0299542\pi$
$23$	0.133816	+	0.758909i	0.0279026	+	0.158243i	−0.967673	+	0.252209i	$0.918843\pi$
$24$	−0.984808	−	0.173648i	−0.201023	−	0.0354458i
$25$	0.147816	+	0.838308i	0.0295633	+	0.167662i
$26$	−5.62211	−	3.24592i	−1.10259	−	0.636578i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	−1.19233	−	2.36185i	−0.225329	−	0.446348i
$29$	5.79237	−	1.02135i	1.07562	−	0.189660i	0.392340	−	0.919820i	$-0.371666\pi$
$29$	5.79237	−	1.02135i	1.07562	−	0.189660i	0.683276	+	0.730160i	$0.260555\pi$
$30$	2.03685			0.371876
$31$	2.31794			0.416315			0.208157	−	0.978095i	$-0.433253\pi$
$31$	2.31794			0.416315			0.208157	+	0.978095i	$0.433253\pi$
$32$	0.984808	−	0.173648i	0.174091	−	0.0306970i
$33$	3.75289	+	3.14905i	0.653294	+	0.548179i
$34$	1.33228	+	0.484909i	0.228483	+	0.0831611i
$35$	3.22708	+	4.31594i	0.545475	+	0.729526i
$36$	−0.173648	+	0.984808i	−0.0289414	+	0.164135i
$37$	4.70628	−	2.71717i	0.773708	−	0.446700i	−0.0604879	−	0.998169i	$-0.519266\pi$
$37$	4.70628	−	2.71717i	0.773708	−	0.446700i	0.834196	+	0.551469i	$0.185932\pi$
$38$	2.64331	+	3.46596i	0.428802	+	0.562254i
$39$	−3.24592	+	5.62211i	−0.519764	+	0.900257i
$40$	−1.91401	+	0.696644i	−0.302632	+	0.110149i
$41$	−2.76441	−	2.31962i	−0.431729	−	0.362264i	0.400875	−	0.916133i	$-0.368706\pi$
$41$	−2.76441	−	2.31962i	−0.431729	−	0.362264i	−0.832604	+	0.553869i	$0.813151\pi$
$42$	−2.36185	+	1.19233i	−0.364442	+	0.183980i
$43$	1.03737	−	0.377572i	0.158198	−	0.0575793i	−0.261707	−	0.965147i	$-0.584286\pi$
$43$	1.03737	−	0.377572i	0.158198	−	0.0575793i	0.419905	+	0.907568i	$0.362063\pi$
$44$	−4.60360	−	1.67557i	−0.694018	−	0.252602i
$45$		−	2.03685i		−	0.303636i
$46$	−0.667373	+	0.385308i	−0.0983988	+	0.0568106i
$47$	4.56120	+	5.43583i	0.665320	+	0.792897i	0.988139	−	0.153563i	$-0.0490749\pi$
$47$	4.56120	+	5.43583i	0.665320	+	0.792897i	−0.322819	+	0.946461i	$0.604630\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	−6.26845	−	3.11554i	−0.895493	−	0.445076i
$50$	−0.737195	+	0.425620i	−0.104255	+	0.0601918i
$51$	0.484909	−	1.33228i	0.0679008	−	0.186556i
$52$	1.12730	−	6.39322i	0.156328	−	0.886580i
$53$	3.80882	+	4.53918i	0.523182	+	0.623504i	0.961330	−	0.275399i	$-0.0888099\pi$
$53$	3.80882	+	4.53918i	0.523182	+	0.623504i	−0.438148	+	0.898903i	$0.644365\pi$
$54$	0.984808	+	0.173648i	0.134015	+	0.0236305i
$55$	9.82703	+	1.73277i	1.32508	+	0.233647i
$56$	1.81162	−	1.92822i	0.242087	−	0.257670i
$57$	3.46596	−	2.64331i	0.459078	−	0.350115i
$58$	2.94086	+	5.09372i	0.386154	+	0.668839i
$59$	−10.3072	−	8.64879i	−1.34189	−	1.12598i	−0.981137	−	0.193314i	$-0.938077\pi$
$59$	−10.3072	−	8.64879i	−1.34189	−	1.12598i	−0.360749	−	0.932663i	$-0.617479\pi$
$60$	0.696644	+	1.91401i	0.0899363	+	0.247098i
$61$	−15.0446	+	2.65277i	−1.92627	+	0.339653i	−0.999364	−	0.0356505i	$-0.988650\pi$
$61$	−15.0446	+	2.65277i	−1.92627	+	0.339653i	−0.926902	+	0.375303i	$0.877539\pi$
$62$	0.792783	+	2.17815i	0.100683	+	0.276626i
$63$	1.19233	+	2.36185i	0.150219	+	0.297566i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$			13.2229i			1.64010i
$66$	−1.67557	+	4.60360i	−0.206249	+	0.566664i
$67$	5.26999	−	14.4792i	0.643832	−	1.76891i	0.00449218	−	0.999990i	$-0.498570\pi$
$67$	5.26999	−	14.4792i	0.643832	−	1.76891i	0.639340	−	0.768924i	$-0.279208\pi$
$68$			1.41778i			0.171931i
$69$	0.385308	+	0.667373i	0.0463856	+	0.0803423i
$70$	−2.95193	+	4.50860i	−0.352823	+	0.538880i
$71$	0.482904	+	1.32677i	0.0573101	+	0.157458i	0.965044	−	0.262089i	$-0.0844112\pi$
$71$	0.482904	+	1.32677i	0.0573101	+	0.157458i	−0.907734	+	0.419547i	$0.862189\pi$
$72$	−0.984808	+	0.173648i	−0.116061	+	0.0204646i
$73$	−1.54139	−	4.23493i	−0.180406	−	0.495661i	0.816220	−	0.577742i	$-0.196066\pi$
$73$	−1.54139	−	4.23493i	−0.180406	−	0.495661i	−0.996626	+	0.0820802i	$0.973844\pi$
$74$	4.16295	+	3.49313i	0.483933	+	0.406068i
$75$	0.425620	+	0.737195i	0.0491464	+	0.0851240i
$76$	−2.35288	+	3.66933i	−0.269893	+	0.420901i
$77$	−12.4094	+	3.74327i	−1.41418	+	0.426586i
$78$	−6.39322	−	1.12730i	−0.723890	−	0.127641i
$79$	0.613694	+	0.108211i	0.0690460	+	0.0121747i	0.208064	−	0.978115i	$-0.433284\pi$
$79$	0.613694	+	0.108211i	0.0690460	+	0.0121747i	−0.139018	+	0.990290i	$0.544395\pi$
$80$	−1.30926	−	1.56032i	−0.146380	−	0.174449i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	1.23424	−	3.39106i	0.136299	−	0.374479i
$83$	−6.45634	+	3.72757i	−0.708676	+	0.409154i	−0.810571	−	0.585641i	$-0.800843\pi$
$83$	−6.45634	+	3.72757i	−0.708676	+	0.409154i	0.101895	+	0.994795i	$0.467510\pi$
$84$	−1.92822	−	1.81162i	−0.210386	−	0.197664i
$85$	−0.501461	−	2.84393i	−0.0543911	−	0.308467i
$86$	0.709604	+	0.845673i	0.0765186	+	0.0911913i
$87$	5.09372	−	2.94086i	0.546104	−	0.315294i
$88$		−	4.89905i		−	0.522240i
$89$	−11.1118	−	4.04438i	−1.17785	−	0.428703i	−0.322410	−	0.946600i	$-0.604493\pi$
$89$	−11.1118	−	4.04438i	−1.17785	−	0.428703i	−0.855443	+	0.517897i	$0.826715\pi$
$90$	1.91401	−	0.696644i	0.201755	−	0.0734327i
$91$	−7.74041	−	15.3328i	−0.811416	−	1.60731i
$92$	−0.590326	−	0.495342i	−0.0615458	−	0.0516430i
$93$	2.17815	−	0.792783i	0.225864	−	0.0822077i
$94$	−3.54799	+	6.14529i	−0.365947	+	0.633838i
$95$	3.42182	−	8.19253i	0.351072	−	0.840536i
$96$	0.866025	−	0.500000i	0.0883883	−	0.0510310i
$97$	3.08952	−	17.5216i	0.313693	−	1.77904i	−0.265761	−	0.964039i	$-0.585623\pi$
$97$	3.08952	−	17.5216i	0.313693	−	1.77904i	0.579454	−	0.815005i	$-0.303266\pi$
$98$	0.783710	−	6.95599i	0.0791666	−	0.702661i
$99$	4.60360	+	1.67557i	0.462679	+	0.168401i
$100$	−0.652088	−	0.547166i	−0.0652088	−	0.0547166i
$101$	−8.02774	+	1.41551i	−0.798790	+	0.140848i	−0.558122	−	0.829759i	$-0.688478\pi$
$101$	−8.02774	+	1.41551i	−0.798790	+	0.140848i	−0.240669	+	0.970607i	$0.577367\pi$
$102$	1.41778			0.140381
$103$	15.8738			1.56409			0.782046	−	0.623220i	$-0.214176\pi$
$103$	15.8738			1.56409			0.782046	+	0.623220i	$0.214176\pi$
$104$	6.39322	−	1.12730i	0.626907	−	0.110541i
$105$	4.50860	+	2.95193i	0.439994	+	0.288079i
$106$	−2.96274	+	5.13161i	−0.287767	+	0.498426i
$107$	0.725320	+	0.418764i	0.0701194	+	0.0404834i	0.534650	−	0.845074i	$-0.320444\pi$
$107$	0.725320	+	0.418764i	0.0701194	+	0.0404834i	−0.464530	+	0.885557i	$0.653777\pi$
$108$	0.173648	+	0.984808i	0.0167093	+	0.0947632i
$109$	−1.29009	−	0.227477i	−0.123568	−	0.0217883i	0.111522	−	0.993762i	$-0.464427\pi$
$109$	−1.29009	−	0.227477i	−0.123568	−	0.0217883i	−0.235090	+	0.971974i	$0.575538\pi$
$110$	1.73277	+	9.82703i	0.165213	+	0.936970i
$111$	3.49313	−	4.16295i	0.331553	−	0.395130i
$112$	2.43155	+	1.04287i	0.229760	+	0.0985421i
$113$			16.0576i			1.51058i	0.655393	+	0.755288i	$0.272503\pi$
$113$			16.0576i			1.51058i	−0.655393	+	0.755288i	$0.727497\pi$
$114$	3.66933	+	2.35288i	0.343664	+	0.220367i
$115$	1.35934	+	0.784815i	0.126759	+	0.0731844i
$116$	−3.78070	+	4.50566i	−0.351029	+	0.418340i
$117$	−1.12730	+	6.39322i	−0.104219	+	0.591054i
$118$	4.60192	−	12.6437i	0.423641	−	1.16395i
$119$	2.24625	+	3.00417i	0.205913	+	0.275392i
$120$	−1.56032	+	1.30926i	−0.142437	+	0.119519i
$121$	−6.50033	+	11.2589i	−0.590939	+	1.02354i
$122$	−7.63835	−	13.2300i	−0.691544	−	1.19779i
$123$	−3.39106	−	1.23424i	−0.305761	−	0.111288i
$124$	−1.77565	+	1.48994i	−0.159458	+	0.133801i
$125$	10.3214	+	5.95905i	0.923172	+	0.532994i
$126$	−1.81162	+	1.92822i	−0.161392	+	0.171780i
$127$	−3.28447	−	3.91428i	−0.291450	−	0.347336i	0.600374	−	0.799719i	$-0.295018\pi$
$127$	−3.28447	−	3.91428i	−0.291450	−	0.347336i	−0.891824	+	0.452383i	$0.850574\pi$
$128$	−0.642788	+	0.766044i	−0.0568149	+	0.0677094i
$129$	0.845673	−	0.709604i	0.0744574	−	0.0624772i
$130$	−12.4255	+	4.52251i	−1.08979	+	0.396650i
$131$	1.92819	+	5.29765i	0.168466	+	0.462857i	0.994982	−	0.100057i	$-0.0319024\pi$
$131$	1.92819	+	5.29765i	0.168466	+	0.462857i	−0.826515	+	0.562914i	$0.809680\pi$
$132$	−4.89905			−0.426407
$133$	0.827914	+	11.5028i	0.0717892	+	0.997420i
$134$	15.4084			1.33109
$135$	−0.696644	−	1.91401i	−0.0599576	−	0.164732i
$136$	−1.33228	+	0.484909i	−0.114242	+	0.0415806i
$137$	6.11515	−	5.13122i	0.522453	−	0.438390i	−0.343033	−	0.939323i	$-0.611454\pi$
$137$	6.11515	−	5.13122i	0.522453	−	0.438390i	0.865486	+	0.500933i	$0.167010\pi$
$138$	−0.495342	+	0.590326i	−0.0421664	+	0.0502519i
$139$	−15.0462	−	17.9314i	−1.27620	−	1.52092i	−0.730438	−	0.682979i	$-0.760684\pi$
$139$	−15.0462	−	17.9314i	−1.27620	−	1.52092i	−0.545764	−	0.837939i	$-0.683760\pi$
$140$	−5.24631	−	1.23188i	−0.443394	−	0.104112i
$141$	6.14529	+	3.54799i	0.517527	+	0.298794i
$142$	−1.08159	+	0.907562i	−0.0907650	+	0.0761609i
$143$	−29.8859	−	10.8776i	−2.49918	−	0.909627i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	5.99010	−	10.3752i	0.497450	−	0.861609i
$146$	3.45235	−	2.89686i	0.285718	−	0.239746i
$147$	−6.95599	−	0.783710i	−0.573720	−	0.0646393i
$148$	−1.85866	+	5.10661i	−0.152781	+	0.419761i
$149$	−1.65006	+	9.35796i	−0.135178	+	0.766634i	0.839557	+	0.543271i	$0.182815\pi$
$149$	−1.65006	+	9.35796i	−0.135178	+	0.766634i	−0.974735	+	0.223363i	$0.928297\pi$
$150$	−0.547166	+	0.652088i	−0.0446760	+	0.0532427i
$151$	−13.1219	−	7.57596i	−1.06785	−	0.616523i	−0.140256	−	0.990115i	$-0.544792\pi$
$151$	−13.1219	−	7.57596i	−1.06785	−	0.616523i	−0.927593	+	0.373593i	$0.878126\pi$
$152$	−4.25277	−	0.955996i	−0.344945	−	0.0775415i
$153$		−	1.41778i		−	0.114621i
$154$	−7.76178	−	10.3807i	−0.625462	−	0.836502i
$155$	3.03479	−	3.61673i	0.243760	−	0.290502i
$156$	−1.12730	−	6.39322i	−0.0902560	−	0.511867i
$157$	16.8427	+	2.96981i	1.34419	+	0.237017i	0.799018	−	0.601307i	$-0.205353\pi$
$157$	16.8427	+	2.96981i	1.34419	+	0.237017i	0.545172	+	0.838324i	$0.316464\pi$
$158$	0.108211	+	0.613694i	0.00860879	+	0.0488229i
$159$	5.13161	+	2.96274i	0.406963	+	0.234960i
$160$	1.01843	−	1.76396i	0.0805136	−	0.139454i
$161$	−2.03565	−	0.114314i	−0.160432	−	0.00900918i
$162$	0.984808	−	0.173648i	0.0773738	−	0.0136431i
$163$	−2.85090			−0.223300			−0.111650	−	0.993748i	$-0.535614\pi$
$163$	−2.85090			−0.223300			−0.111650	+	0.993748i	$0.535614\pi$
$164$	3.60869			0.281791
$165$	9.82703	−	1.73277i	0.765033	−	0.134896i
$166$	−5.71097	−	4.79207i	−0.443257	−	0.371937i
$167$	12.1726	+	4.43046i	0.941943	+	0.342839i	0.766933	−	0.641727i	$-0.221782\pi$
$167$	12.1726	+	4.43046i	0.941943	+	0.342839i	0.175010	+	0.984567i	$0.444004\pi$
$168$	1.04287	−	2.43155i	0.0804593	−	0.187598i
$169$	5.06082	−	28.7013i	0.389294	−	2.20779i
$170$	2.50091	−	1.44390i	0.191811	−	0.110742i
$171$	2.35288	−	3.66933i	0.179929	−	0.280601i
$172$	−0.551974	+	0.956047i	−0.0420876	+	0.0728979i
$173$	13.7509	−	5.00492i	1.04546	−	0.380517i	0.238513	−	0.971139i	$-0.423340\pi$
$173$	13.7509	−	5.00492i	1.04546	−	0.380517i	0.806948	+	0.590622i	$0.201118\pi$
$174$	4.50566	+	3.78070i	0.341573	+	0.286614i
$175$	−2.24863	−	0.126273i	−0.169980	−	0.00954537i
$176$	4.60360	−	1.67557i	0.347009	−	0.126301i
$177$	−12.6437	−	4.60192i	−0.950357	−	0.345902i
$178$		−	11.8250i		−	0.886319i
$179$	13.8639	−	8.00433i	1.03624	−	0.598272i	0.117472	−	0.993076i	$-0.462521\pi$
$179$	13.8639	−	8.00433i	1.03624	−	0.598272i	0.918765	+	0.394805i	$0.129188\pi$
$180$	1.30926	+	1.56032i	0.0975866	+	0.116299i
$181$	−1.10026	−	6.23986i	−0.0817814	−	0.463805i	−0.998005	−	0.0631376i	$-0.979889\pi$
$181$	−1.10026	−	6.23986i	−0.0817814	−	0.463805i	0.916223	−	0.400668i	$-0.131222\pi$
$182$	11.7607	−	12.5177i	0.871764	−	0.927876i
$183$	−13.2300	+	7.63835i	−0.977991	+	0.564643i
$184$	0.263566	−	0.724142i	0.0194304	−	0.0533845i
$185$	1.92210	−	10.9008i	0.141316	−	0.801442i
$186$	1.48994	+	1.77565i	0.109248	+	0.130197i
$187$	6.84024	+	1.20612i	0.500208	+	0.0882001i
$188$	−6.98817	−	1.23220i	−0.509665	−	0.0898676i
$189$	1.92822	+	1.81162i	0.140258	+	0.131776i
$190$	8.86879	+	0.413452i	0.643410	+	0.0299950i
$191$	−4.37271	−	7.57375i	−0.316398	−	0.548017i	0.663336	−	0.748322i	$-0.269140\pi$
$191$	−4.37271	−	7.57375i	−0.316398	−	0.548017i	−0.979734	+	0.200305i	$0.935807\pi$
$192$	0.766044	+	0.642788i	0.0552845	+	0.0463892i
$193$	7.11786	+	19.5562i	0.512355	+	1.40768i	0.878776	+	0.477235i	$0.158361\pi$
$193$	7.11786	+	19.5562i	0.512355	+	1.40768i	−0.366421	+	0.930449i	$0.619417\pi$
$194$	17.5216	−	3.08952i	1.25797	−	0.221815i
$195$	4.52251	+	12.4255i	0.323863	+	0.889807i
$196$	6.80454	−	1.64264i	0.486038	−	0.117332i
$197$	−2.96166	−	5.12975i	−0.211010	−	0.365480i	0.741021	−	0.671482i	$-0.234342\pi$
$197$	−2.96166	−	5.12975i	−0.211010	−	0.365480i	−0.952031	+	0.306002i	$0.901009\pi$
$198$			4.89905i			0.348160i
$199$	−0.599947	+	1.64834i	−0.0425291	+	0.116848i	−0.959139	−	0.282935i	$-0.908692\pi$
$199$	−0.599947	+	1.64834i	−0.0425291	+	0.116848i	0.916610	+	0.399782i	$0.130914\pi$
$200$	0.291141	−	0.799904i	0.0205868	−	0.0565617i
$201$		−	15.4084i		−	1.08683i
$202$	−4.07579	−	7.05948i	−0.286772	−	0.496703i
$203$	−0.872498	+	15.5371i	−0.0612374	+	1.09049i
$204$	0.484909	+	1.33228i	0.0339504	+	0.0932779i
$205$	−7.23868	+	1.27638i	−0.505572	+	0.0891459i
$206$	5.42916	+	14.9165i	0.378268	+	1.03928i
$207$	0.590326	+	0.495342i	0.0410305	+	0.0344287i
$208$	3.24592	+	5.62211i	0.225064	+	0.389823i
$209$	15.7015	+	14.4733i	1.08610	+	1.00114i
$210$	−1.23188	+	5.24631i	−0.0850075	+	0.362030i
$211$	−11.7925	−	2.07934i	−0.811830	−	0.143148i	−0.247704	−	0.968836i	$-0.579676\pi$
$211$	−11.7925	−	2.07934i	−0.811830	−	0.143148i	−0.564127	+	0.825688i	$0.690787\pi$
$212$	−5.83546	−	1.02895i	−0.400781	−	0.0706685i
$213$	0.907562	+	1.08159i	0.0621851	+	0.0741093i
$214$	−0.145435	+	0.824804i	−0.00994174	+	0.0563824i
$215$	0.769059	−	2.11297i	0.0524494	−	0.144103i
$216$	−0.866025	+	0.500000i	−0.0589256	+	0.0340207i
$217$	−1.40188	+	5.97032i	−0.0951656	+	0.405292i
$218$	−0.227477	−	1.29009i	−0.0154067	−	0.0873757i
$219$	−2.89686	−	3.45235i	−0.195752	−	0.233288i
$220$	−8.64174	+	4.98931i	−0.582626	+	0.336379i
$221$			9.20400i			0.619128i
$222$	5.10661	+	1.85866i	0.342733	+	0.124745i
$223$	10.4154	−	3.79091i	0.697470	−	0.253858i	0.0311396	−	0.999515i	$-0.490086\pi$
$223$	10.4154	−	3.79091i	0.697470	−	0.253858i	0.666330	+	0.745657i	$0.267864\pi$
$224$	−0.148341	+	2.64159i	−0.00991142	+	0.176499i
$225$	0.652088	+	0.547166i	0.0434725	+	0.0364778i
$226$	−15.0892	+	5.49204i	−1.00372	+	0.365325i
$227$	10.1242	−	17.5356i	0.671967	−	1.16388i	−0.305379	−	0.952231i	$-0.598783\pi$
$227$	10.1242	−	17.5356i	0.671967	−	1.16388i	0.977346	−	0.211649i	$-0.0678835\pi$
$228$	−0.955996	+	4.25277i	−0.0633124	+	0.281647i
$229$	−1.17225	+	0.676798i	−0.0774644	+	0.0447241i	−0.538232	−	0.842797i	$-0.680908\pi$
$229$	−1.17225	+	0.676798i	−0.0774644	+	0.0447241i	0.460767	+	0.887521i	$0.347574\pi$
$230$	−0.272563	+	1.54578i	−0.0179723	+	0.101926i
$231$	−10.3807	+	7.76178i	−0.683001	+	0.510688i
$232$	−5.52701	−	2.01167i	−0.362866	−	0.132072i
$233$	−10.3099	−	8.65102i	−0.675423	−	0.566747i	0.239242	−	0.970960i	$-0.423101\pi$
$233$	−10.3099	−	8.65102i	−0.675423	−	0.566747i	−0.914665	+	0.404213i	$0.867545\pi$
$234$	−6.39322	+	1.12730i	−0.417938	+	0.0736937i
$235$	14.4534			0.942838
$236$	13.4551			0.875854
$237$	0.613694	−	0.108211i	0.0398637	−	0.00702905i
$238$	−2.05473	+	3.13827i	−0.133188	+	0.203424i
$239$	4.03742	−	6.99301i	0.261159	−	0.452341i	−0.705391	−	0.708818i	$-0.749229\pi$
$239$	4.03742	−	6.99301i	0.261159	−	0.452341i	0.966550	+	0.256478i	$0.0825620\pi$
$240$	−1.76396	−	1.01843i	−0.113863	−	0.0657391i
$241$	1.09470	+	6.20836i	0.0705159	+	0.399915i	0.999552	+	0.0299267i	$0.00952737\pi$
$241$	1.09470	+	6.20836i	0.0705159	+	0.399915i	−0.929036	+	0.369989i	$0.879362\pi$
$242$	−12.8031	−	2.25754i	−0.823017	−	0.145120i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	9.81968	−	11.7026i	0.628641	−	0.749185i
$245$	−13.0683	+	5.70172i	−0.834901	+	0.364270i
$246$		−	3.60869i		−	0.230081i
$247$	−15.2745	+	23.8207i	−0.971894	+	1.51568i
$248$	−2.00740	−	1.15897i	−0.127470	−	0.0735947i
$249$	−4.79207	+	5.71097i	−0.303685	+	0.361918i
$250$	−2.06956	+	11.7370i	−0.130890	+	0.742315i
$251$	4.56308	−	12.5370i	0.288019	−	0.791326i	−0.708324	−	0.705887i	$-0.750549\pi$
$251$	4.56308	−	12.5370i	0.288019	−	0.791326i	0.996343	−	0.0854389i	$-0.0272293\pi$
$252$	−2.43155	−	1.04287i	−0.153173	−	0.0656947i
$253$	−2.89204	+	2.42671i	−0.181821	+	0.152566i
$254$	2.55487	−	4.42516i	0.160307	−	0.277659i
$255$	−1.44390	−	2.50091i	−0.0904206	−	0.156613i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−8.96796	+	7.52501i	−0.559406	+	0.469397i	−0.878111	−	0.478457i	$-0.841196\pi$
$257$	−8.96796	+	7.52501i	−0.559406	+	0.469397i	0.318705	+	0.947854i	$0.396752\pi$
$258$	0.956047	+	0.551974i	0.0595209	+	0.0343644i
$259$	4.15229	+	13.7653i	0.258011	+	0.855334i
$260$	−8.49953	−	10.1293i	−0.527119	−	0.628195i
$261$	3.78070	−	4.50566i	0.234019	−	0.278893i
$262$	−4.31868	+	3.62380i	−0.266809	+	0.223879i
$263$	−4.59962	+	1.67413i	−0.283625	+	0.103231i	−0.479915	−	0.877315i	$-0.659333\pi$
$263$	−4.59962	+	1.67413i	−0.283625	+	0.103231i	0.196290	+	0.980546i	$0.437110\pi$
$264$	−1.67557	−	4.60360i	−0.103124	−	0.283332i
$265$	12.0693			0.741412
$266$	−10.5259	+	4.71218i	−0.645387	+	0.288922i
$267$	−11.8250			−0.723677
$268$	5.26999	+	14.4792i	0.321916	+	0.884457i
$269$	25.3761	−	9.23615i	1.54721	−	0.563138i	0.579448	−	0.815010i	$-0.303268\pi$
$269$	25.3761	−	9.23615i	1.54721	−	0.563138i	0.967761	+	0.251872i	$0.0810461\pi$
$270$	1.56032	−	1.30926i	0.0949579	−	0.0796792i
$271$	−7.67063	+	9.14151i	−0.465958	+	0.555307i	−0.946935	−	0.321426i	$-0.895838\pi$
$271$	−7.67063	+	9.14151i	−0.465958	+	0.555307i	0.480977	+	0.876733i	$0.340282\pi$
$272$	−0.911330	−	1.08608i	−0.0552575	−	0.0658533i
$273$	−12.5177	−	11.7607i	−0.757608	−	0.711792i
$274$	6.91328	+	3.99138i	0.417646	+	0.241128i
$275$	−3.19461	+	2.68059i	−0.192642	+	0.161646i
$276$	−0.724142	−	0.263566i	−0.0435882	−	0.0158648i
$277$	−10.5672	−	18.3029i	−0.634921	−	1.09972i	−0.986532	−	0.163569i	$-0.947699\pi$
$277$	−10.5672	−	18.3029i	−0.634921	−	1.09972i	0.351611	−	0.936146i	$-0.385634\pi$
$278$	11.7039	−	20.2717i	0.701951	−	1.21581i
$279$	1.77565	−	1.48994i	0.106305	−	0.0892006i
$280$	−0.636761	−	5.35125i	−0.0380537	−	0.319798i
$281$	−0.571867	+	1.57119i	−0.0341147	+	0.0937294i	−0.955581	−	0.294730i	$-0.904770\pi$
$281$	−0.571867	+	1.57119i	−0.0341147	+	0.0937294i	0.921466	+	0.388459i	$0.126993\pi$
$282$	−1.23220	+	6.98817i	−0.0733766	+	0.416139i
$283$	8.60993	−	10.2609i	0.511807	−	0.609948i	−0.446816	−	0.894626i	$-0.647442\pi$
$283$	8.60993	−	10.2609i	0.511807	−	0.609948i	0.958623	+	0.284678i	$0.0918866\pi$
$284$	−1.22275	−	0.705958i	−0.0725571	−	0.0418909i
$285$	0.413452	−	8.86879i	0.0244908	−	0.525342i
$286$		−	31.8039i		−	1.88060i
$287$	7.64654	−	5.71740i	0.451361	−	0.337488i
$288$	0.642788	−	0.766044i	0.0378766	−	0.0451396i
$289$	2.60297	+	14.7622i	0.153116	+	0.868363i
$290$	11.7982	+	2.08034i	0.692813	+	0.122162i
$291$	−3.08952	−	17.5216i	−0.181111	−	1.02713i
$292$	3.90294	+	2.25336i	0.228402	+	0.131868i
$293$	2.70661	−	4.68798i	0.158122	−	0.273875i	−0.776070	−	0.630647i	$-0.782789\pi$
$293$	2.70661	−	4.68798i	0.158122	−	0.273875i	0.934191	+	0.356772i	$0.116123\pi$
$294$	−1.64264	−	6.80454i	−0.0958009	−	0.396849i
$295$	−26.9897	+	4.75902i	−1.57140	+	0.277081i
$296$	−5.43434			−0.315865
$297$	4.89905			0.284271
$298$	−9.35796	+	1.65006i	−0.542092	+	0.0955855i
$299$	−3.83231	−	3.21569i	−0.221628	−	0.185968i
$300$	−0.799904	−	0.291141i	−0.0461825	−	0.0168090i
$301$	0.345117	+	2.90031i	0.0198922	+	0.167171i
$302$	2.63110	−	14.9217i	0.151403	−	0.858649i
$303$	−7.05948	+	4.07579i	−0.405557	+	0.234148i
$304$	−0.556191	−	4.32327i	−0.0318998	−	0.247956i
$305$	−15.5582	+	26.9476i	−0.890859	+	1.54301i
$306$	1.33228	−	0.484909i	0.0761611	−	0.0277204i
$307$	2.27428	+	1.90835i	0.129800	+	0.108915i	0.705377	−	0.708833i	$-0.250778\pi$
$307$	2.27428	+	1.90835i	0.129800	+	0.108915i	−0.575577	+	0.817748i	$0.695222\pi$
$308$	7.10000	−	10.8441i	0.404560	−	0.617900i
$309$	14.9165	−	5.42916i	0.848570	−	0.308854i
$310$	4.43657	+	1.61478i	0.251980	+	0.0917133i
$311$		−	31.0086i		−	1.75833i	−0.476513	−	0.879167i	$-0.658100\pi$
$311$		−	31.0086i		−	1.75833i	0.476513	−	0.879167i	$-0.341900\pi$
$312$	5.62211	−	3.24592i	0.318289	−	0.183764i
$313$	5.62859	+	6.70789i	0.318147	+	0.379152i	0.901290	−	0.433217i	$-0.142622\pi$
$313$	5.62859	+	6.70789i	0.318147	+	0.379152i	−0.583143	+	0.812370i	$0.698177\pi$
$314$	2.96981	+	16.8427i	0.167596	+	0.950486i
$315$	5.24631	+	1.23188i	0.295596	+	0.0694083i
$316$	−0.539674	+	0.311581i	−0.0303590	+	0.0175278i
$317$	−8.42654	+	23.1517i	−0.473281	+	1.30033i	0.441819	+	0.897104i	$0.354333\pi$
$317$	−8.42654	+	23.1517i	−0.473281	+	1.30033i	−0.915100	+	0.403226i	$0.867889\pi$
$318$	−1.02895	+	5.83546i	−0.0577006	+	0.327236i
$319$	18.5218	+	22.0734i	1.03702	+	1.23588i
$320$	2.00591	+	0.353695i	0.112134	+	0.0197722i
$321$	0.824804	+	0.145435i	0.0460361	+	0.00811740i
$322$	−0.588814	−	1.95198i	−0.0328133	−	0.108780i
$323$	2.38181	−	5.70252i	0.132527	−	0.317297i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	−4.23325	−	3.55212i	−0.234819	−	0.197036i
$326$	−0.975067	−	2.67897i	−0.0540040	−	0.148375i
$327$	−1.29009	+	0.227477i	−0.0713419	+	0.0125795i
$328$	1.23424	+	3.39106i	0.0681497	+	0.187240i
$329$	−16.7596	+	8.46073i	−0.923989	+	0.466455i
$330$	4.98931	+	8.64174i	0.274653	+	0.475712i
$331$		−	19.1466i		−	1.05239i	−0.850364	−	0.526196i	$-0.823618\pi$
$331$		−	19.1466i		−	1.05239i	0.850364	−	0.526196i	$-0.176382\pi$
$332$	2.54981	−	7.00554i	0.139939	−	0.384479i
$333$	1.85866	−	5.10661i	0.101854	−	0.279841i
$334$			12.9538i			0.708800i
$335$	−15.6923	−	27.1799i	−0.857364	−	1.48500i
$336$	2.64159	+	0.148341i	0.144111	+	0.00809264i
$337$	−6.72019	−	18.4636i	−0.366072	−	1.00578i	−0.976841	−	0.213966i	$-0.931362\pi$
$337$	−6.72019	−	18.4636i	−0.366072	−	1.00578i	0.610769	−	0.791809i	$-0.290860\pi$
$338$	28.7013	−	5.06082i	1.56115	−	0.275272i
$339$	5.49204	+	15.0892i	0.298286	+	0.819535i
$340$	2.21218	+	1.85624i	0.119973	+	0.100669i
$341$	5.67785	+	9.83433i	0.307473	+	0.532559i
$342$	4.25277	+	0.955996i	0.229964	+	0.0516943i
$343$	11.8158	−	14.2614i	0.637993	−	0.770042i
$344$	−1.08718	−	0.191699i	−0.0586166	−	0.0103357i
$345$	1.54578	+	0.272563i	0.0832222	+	0.0146743i
$346$	9.40617	+	11.2098i	0.505679	+	0.602644i
$347$	−2.03042	+	11.5151i	−0.108999	+	0.618162i	0.880549	+	0.473955i	$0.157174\pi$
$347$	−2.03042	+	11.5151i	−0.108999	+	0.618162i	−0.989548	+	0.144207i	$0.953937\pi$
$348$	−2.01167	+	5.52701i	−0.107837	+	0.296279i
$349$	−12.3119	+	7.10828i	−0.659041	+	0.380498i	−0.791912	−	0.610636i	$-0.790914\pi$
$349$	−12.3119	+	7.10828i	−0.659041	+	0.380498i	0.132870	+	0.991133i	$0.457581\pi$
$350$	−0.650417	−	2.15621i	−0.0347663	−	0.115254i
$351$	1.12730	+	6.39322i	0.0601707	+	0.341245i
$352$	3.14905	+	3.75289i	0.167845	+	0.200030i
$353$	−31.6290	+	18.2610i	−1.68344	+	0.971936i	−0.724099	+	0.689696i	$0.757744\pi$
$353$	−31.6290	+	18.2610i	−1.68344	+	0.971936i	−0.959344	+	0.282240i	$0.908923\pi$
$354$		−	13.4551i		−	0.715132i
$355$	2.70243	+	0.983602i	0.143430	+	0.0522042i
$356$	11.1118	−	4.04438i	0.588926	−	0.214352i
$357$	3.13827	+	2.05473i	0.166095	+	0.108748i
$358$	12.2633	+	10.2902i	0.648138	+	0.543852i
$359$	0.357009	−	0.129941i	0.0188422	−	0.00685800i	−0.332582	−	0.943074i	$-0.607920\pi$
$359$	0.357009	−	0.129941i	0.0188422	−	0.00685800i	0.351424	+	0.936216i	$0.385698\pi$
$360$	−1.01843	+	1.76396i	−0.0536757	+	0.0929691i
$361$	15.6280	−	10.8059i	0.822524	−	0.568731i
$362$	5.48724	−	3.16806i	0.288403	−	0.166510i
$363$	−2.25754	+	12.8031i	−0.118490	+	0.671991i
$364$	15.7852	+	6.77016i	0.827371	+	0.354853i
$365$	−8.62593	−	3.13958i	−0.451502	−	0.164333i
$366$	−11.7026	−	9.81968i	−0.611707	−	0.513283i
$367$	6.27376	−	1.10623i	0.327488	−	0.0577449i	−0.00748725	−	0.999972i	$-0.502383\pi$
$367$	6.27376	−	1.10623i	0.327488	−	0.0577449i	0.334975	+	0.942227i	$0.391272\pi$
$368$	0.770616			0.0401711
$369$	−3.60869			−0.187861
$370$	10.9008	−	1.92210i	0.566705	−	0.0999254i
$371$	−13.9951	+	7.06511i	−0.726590	+	0.366802i
$372$	−1.15897	+	2.00740i	−0.0600898	+	0.104079i
$373$	16.4163	+	9.47798i	0.850006	+	0.490751i	0.860653	−	0.509192i	$-0.170056\pi$
$373$	16.4163	+	9.47798i	0.850006	+	0.490751i	−0.0106467	+	0.999943i	$0.503389\pi$
$374$	1.20612	+	6.84024i	0.0623669	+	0.353700i
$375$	11.7370	+	2.06956i	0.606098	+	0.106871i
$376$	−1.23220	−	6.98817i	−0.0635460	−	0.360387i
$377$	−24.5437	+	29.2501i	−1.26407	+	1.50646i
$378$	−1.04287	+	2.43155i	−0.0536395	+	0.125065i
$379$			11.7518i			0.603648i	0.953364	+	0.301824i	$0.0975955\pi$
$379$			11.7518i			0.603648i	−0.953364	+	0.301824i	$0.902405\pi$
$380$	2.64479	+	8.47535i	0.135675	+	0.434776i
$381$	−4.42516	−	2.55487i	−0.226708	−	0.130890i
$382$	5.62144	−	6.69937i	0.287618	−	0.342770i
$383$	−2.17440	+	12.3316i	−0.111107	+	0.630117i	0.877498	+	0.479581i	$0.159211\pi$
$383$	−2.17440	+	12.3316i	−0.111107	+	0.630117i	−0.988604	+	0.150536i	$0.951900\pi$
$384$	−0.342020	+	0.939693i	−0.0174536	+	0.0479535i
$385$	−10.4064	+	24.2635i	−0.530360	+	1.23658i
$386$	−15.9423	+	13.3772i	−0.811443	+	0.680882i
$387$	0.551974	−	0.956047i	0.0280584	−	0.0485986i
$388$	8.89592	+	15.4082i	0.451622	+	0.782232i
$389$	−10.5709	−	3.84748i	−0.535965	−	0.195075i	0.0598349	−	0.998208i	$-0.480943\pi$
$389$	−10.5709	−	3.84748i	−0.535965	−	0.195075i	−0.595800	+	0.803133i	$0.703165\pi$
$390$	−10.1293	+	8.49953i	−0.512919	+	0.430391i
$391$	0.946187	+	0.546281i	0.0478507	+	0.0276266i
$392$	3.87087	+	5.83236i	0.195508	+	0.294578i
$393$	3.62380	+	4.31868i	0.182797	+	0.217849i
$394$	3.80744	−	4.53753i	0.191816	−	0.228598i
$395$	0.972330	−	0.815882i	0.0489232	−	0.0410515i
$396$	−4.60360	+	1.67557i	−0.231339	+	0.0842007i
$397$	−0.977248	−	2.68497i	−0.0490466	−	0.134755i	0.912751	−	0.408517i	$-0.133954\pi$
$397$	−0.977248	−	2.68497i	−0.0490466	−	0.134755i	−0.961797	+	0.273763i	$0.911732\pi$
$398$	−1.75413			−0.0879265
$399$	4.71218	+	10.5259i	0.235904	+	0.526956i
$400$	0.851240			0.0425620
$401$	9.76093	+	26.8179i	0.487438	+	1.33922i	0.902993	+	0.429656i	$0.141365\pi$
$401$	9.76093	+	26.8179i	0.487438	+	1.33922i	−0.415555	+	0.909568i	$0.636413\pi$
$402$	14.4792	−	5.26999i	0.722156	−	0.262843i
$403$	−11.5272	+	9.67249i	−0.574212	+	0.481821i
$404$	5.23974	−	6.24448i	0.260687	−	0.310674i
$405$	−1.30926	−	1.56032i	−0.0650578	−	0.0775328i
$406$	−14.8985	+	4.49412i	−0.739401	+	0.223039i
$407$	23.0563	+	13.3116i	1.14286	+	0.659829i
$408$	−1.08608	+	0.911330i	−0.0537690	+	0.0451176i
$409$	−18.2088	−	6.62747i	−0.900368	−	0.327707i	−0.149968	−	0.988691i	$-0.547917\pi$
$409$	−18.2088	−	6.62747i	−0.900368	−	0.327707i	−0.750400	+	0.660984i	$0.770139\pi$
$410$	−3.67518	−	6.36559i	−0.181504	−	0.314374i
$411$	3.99138	−	6.91328i	0.196880	−	0.341007i
$412$	−12.1600	+	10.2035i	−0.599082	+	0.502690i
$413$	28.5104	−	21.3176i	1.40291	−	1.04897i
$414$	−0.263566	+	0.724142i	−0.0129536	+	0.0355897i
$415$	−2.63685	+	14.9543i	−0.129438	+	0.734079i
$416$	−4.17288	+	4.97304i	−0.204592	+	0.243824i
$417$	−20.2717	−	11.7039i	−0.992709	−	0.573141i
$418$	−8.23019	+	19.7047i	−0.402552	+	0.963790i
$419$			17.4638i			0.853165i	0.904449	+	0.426582i	$0.140283\pi$
$419$			17.4638i			0.853165i	−0.904449	+	0.426582i	$0.859717\pi$
$420$	−5.35125	+	0.636761i	−0.261114	+	0.0310707i
$421$	−15.1628	+	18.0703i	−0.738990	+	0.880693i	−0.996327	−	0.0856281i	$-0.972710\pi$
$421$	−15.1628	+	18.0703i	−0.738990	+	0.880693i	0.257338	+	0.966322i	$0.417155\pi$
$422$	−2.07934	−	11.7925i	−0.101221	−	0.574051i
$423$	6.98817	+	1.23220i	0.339776	+	0.0599117i
$424$	−1.02895	−	5.83546i	−0.0499702	−	0.283395i
$425$	1.04518	+	0.603435i	0.0506986	+	0.0292709i
$426$	−0.705958	+	1.22275i	−0.0342038	+	0.0592427i
$427$	2.26616	−	40.3548i	0.109667	−	1.95291i
$428$	−0.824804	+	0.145435i	−0.0398684	+	0.00702987i
$429$	−31.8039			−1.53550
$430$	2.24858			0.108436
$431$	−0.206125	+	0.0363453i	−0.00992867	+	0.00175069i	−0.178610	−	0.983920i	$-0.557160\pi$
$431$	−0.206125	+	0.0363453i	−0.00992867	+	0.00175069i	0.168682	+	0.985671i	$0.446049\pi$
$432$	−0.766044	−	0.642788i	−0.0368563	−	0.0309261i
$433$	−14.1687	−	5.15697i	−0.680902	−	0.247828i	−0.0216672	−	0.999765i	$-0.506897\pi$
$433$	−14.1687	−	5.15697i	−0.680902	−	0.247828i	−0.659235	+	0.751937i	$0.729120\pi$
$434$	−6.08973	+	0.724635i	−0.292317	+	0.0347836i
$435$	2.08034	−	11.7982i	0.0997446	−	0.565680i
$436$	1.13448	−	0.654994i	0.0543319	−	0.0313685i
$437$	1.54223	+	2.98407i	0.0737748	+	0.142747i
$438$	2.25336	−	3.90294i	0.107670	−	0.186489i
$439$	−11.3442	+	4.12894i	−0.541428	+	0.197064i	−0.598234	−	0.801321i	$-0.704131\pi$
$439$	−11.3442	+	4.12894i	−0.541428	+	0.197064i	0.0568057	+	0.998385i	$0.481908\pi$
$440$	−7.64407	−	6.41414i	−0.364417	−	0.305782i
$441$	−6.80454	+	1.64264i	−0.324026	+	0.0782211i
$442$	−8.64893	+	3.14795i	−0.411388	+	0.149733i
$443$	21.8845	+	7.96531i	1.03976	+	0.378443i	0.804791	−	0.593559i	$-0.202278\pi$
$443$	21.8845	+	7.96531i	1.03976	+	0.378443i	0.234973	+	0.972002i	$0.424500\pi$
$444$			5.43434i			0.257903i
$445$	−20.8588	+	12.0429i	−0.988803	+	0.570886i
$446$	7.12458	+	8.49075i	0.337359	+	0.402049i
$447$	1.65006	+	9.35796i	0.0780452	+	0.442616i
$448$	−2.53302	+	0.764082i	−0.119674	+	0.0360995i
$449$	0.536348	−	0.309661i	0.0253118	−	0.0146138i	−0.487291	−	0.873240i	$-0.662015\pi$
$449$	0.536348	−	0.309661i	0.0253118	−	0.0146138i	0.512603	+	0.858626i	$0.328681\pi$
$450$	−0.291141	+	0.799904i	−0.0137245	+	0.0377078i
$451$	3.06995	−	17.4105i	0.144558	−	0.819830i
$452$	−10.3217	−	12.3009i	−0.485490	−	0.578584i
$453$	−14.9217	−	2.63110i	−0.701084	−	0.123620i
$454$	19.9408	+	3.51610i	0.935867	+	0.165019i
$455$	−34.0583	−	7.99715i	−1.59668	−	0.374912i
$456$	−4.32327	+	0.556191i	−0.202456	+	0.0260461i
$457$	15.6635	+	27.1300i	0.732707	+	1.26909i	0.955722	+	0.294271i	$0.0950769\pi$
$457$	15.6635	+	27.1300i	0.732707	+	1.26909i	−0.223015	+	0.974815i	$0.571590\pi$
$458$	−1.03692	−	0.870075i	−0.0484519	−	0.0406559i
$459$	−0.484909	−	1.33228i	−0.0226336	−	0.0621853i
$460$	−1.54578	+	0.272563i	−0.0720725	+	0.0127083i
$461$	9.49167	+	26.0781i	0.442071	+	1.21458i	0.938128	+	0.346290i	$0.112559\pi$
$461$	9.49167	+	26.0781i	0.442071	+	1.21458i	−0.496056	+	0.868290i	$0.665219\pi$
$462$	−10.8441	−	7.10000i	−0.504513	−	0.330322i
$463$	−14.5935	−	25.2767i	−0.678217	−	1.17471i	−0.975517	−	0.219922i	$-0.929420\pi$
$463$	−14.5935	−	25.2767i	−0.678217	−	1.17471i	0.297301	−	0.954784i	$-0.403914\pi$
$464$		−	5.88172i		−	0.273052i
$465$	1.61478	−	4.43657i	0.0748836	−	0.205741i
$466$	4.60311	−	12.6469i	0.213235	−	0.585858i
$467$			26.2619i			1.21526i	0.794222	+	0.607628i	$0.207879\pi$
$467$			26.2619i			1.21526i	−0.794222	+	0.607628i	$0.792121\pi$
$468$	−3.24592	−	5.62211i	−0.150043	−	0.259882i
$469$	34.1068	+	22.3308i	1.57490	+	1.03114i
$470$	4.94337	+	13.5818i	0.228020	+	0.626481i
$471$	16.8427	−	2.96981i	0.776069	−	0.136842i
$472$	4.60192	+	12.6437i	0.211821	+	0.581973i
$473$	4.14299	+	3.47638i	0.190495	+	0.159844i
$474$	0.311581	+	0.539674i	0.0143114	+	0.0247880i
$475$	1.70358	+	3.29627i	0.0781657	+	0.151243i
$476$	−3.65177	−	0.857464i	−0.167379	−	0.0393018i
$477$	5.83546	+	1.02895i	0.267187	+	0.0471123i
$478$	7.95216	+	1.40218i	0.363723	+	0.0641343i
$479$	7.70979	+	9.18817i	0.352269	+	0.419818i	0.912859	−	0.408276i	$-0.133870\pi$
$479$	7.70979	+	9.18817i	0.352269	+	0.419818i	−0.560589	+	0.828094i	$0.689425\pi$
$480$	0.353695	−	2.00591i	0.0161439	−	0.0915567i
$481$	−12.0661	+	33.1514i	−0.550167	+	1.51157i
$482$	−5.45954	+	3.15207i	−0.248675	+	0.143573i
$483$	−1.95198	+	0.588814i	−0.0888184	+	0.0267920i
$484$	−2.25754	−	12.8031i	−0.102615	−	0.581961i
$485$	−23.2942	−	27.7609i	−1.05773	−	1.26056i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$			26.8481i			1.21660i	0.793707	+	0.608301i	$0.208149\pi$
$487$			26.8481i			1.21660i	−0.793707	+	0.608301i	$0.791851\pi$
$488$	14.3554	+	5.22494i	0.649839	+	0.236522i
$489$	−2.67897	+	0.975067i	−0.121147	+	0.0440940i
$490$	−9.82748	−	10.3301i	−0.443960	−	0.466664i
$491$	12.5583	+	10.5376i	0.566747	+	0.475557i	0.880565	−	0.473926i	$-0.157164\pi$
$491$	12.5583	+	10.5376i	0.566747	+	0.475557i	−0.313818	+	0.949483i	$0.601608\pi$
$492$	3.39106	−	1.23424i	0.152881	−	0.0556440i
$493$	4.16949	−	7.22177i	0.187784	−	0.325252i
$494$	−27.6084	−	6.20618i	−1.24216	−	0.279229i
$495$	8.64174	−	4.98931i	0.388417	−	0.224253i
$496$	0.402506	−	2.28273i	0.0180731	−	0.102497i
$497$	−3.70941	+	0.441393i	−0.166390	+	0.0197992i
$498$	−7.00554	−	2.54981i	−0.313926	−	0.114260i
$499$	16.0266	+	13.4479i	0.717447	+	0.602010i	0.926678	−	0.375857i	$-0.122652\pi$
$499$	16.0266	+	13.4479i	0.717447	+	0.602010i	−0.209231	+	0.977866i	$0.567096\pi$
$500$	−11.7370	+	2.06956i	−0.524896	+	0.0925534i
$501$	12.9538			0.578733
$502$	13.3416			0.595463
$503$	−13.0465	+	2.30046i	−0.581716	+	0.102572i	−0.456760	−	0.889590i	$-0.650990\pi$
$503$	−13.0465	+	2.30046i	−0.581716	+	0.102572i	−0.124956	+	0.992162i	$0.539879\pi$
$504$	0.148341	−	2.64159i	0.00660761	−	0.117666i
$505$	−8.30178	+	14.3791i	−0.369424	+	0.639862i
$506$	−3.26949	−	1.88764i	−0.145347	−	0.0839159i
$507$	−5.06082	−	28.7013i	−0.224759	−	1.27467i
$508$	5.03211	+	0.887296i	0.223264	+	0.0393674i
$509$	−1.81398	−	10.2876i	−0.0804035	−	0.455991i	−0.998254	−	0.0590649i	$-0.981188\pi$
$509$	−1.81398	−	10.2876i	−0.0804035	−	0.455991i	0.917851	−	0.396926i	$-0.129923\pi$
$510$	1.85624	−	2.21218i	0.0821958	−	0.0979572i
$511$	11.8401	−	1.40889i	0.523777	−	0.0623257i
$512$		−	1.00000i		−	0.0441942i
$513$	0.955996	−	4.25277i	0.0422082	−	0.187764i
$514$	−10.1384	−	5.85342i	−0.447187	−	0.258183i
$515$	20.7830	−	24.7682i	0.915807	−	1.09142i
$516$	−0.191699	+	1.08718i	−0.00843906	+	0.0478603i
$517$	−11.8898	+	32.6670i	−0.522913	+	1.43669i
$518$	−11.5150	+	8.60988i	−0.505939	+	0.378296i
$519$	11.2098	−	9.40617i	0.492057	−	0.412885i
$520$	6.61146	−	11.4514i	0.289932	−	0.502177i
$521$	−8.97060	−	15.5375i	−0.393009	−	0.680712i	0.599836	−	0.800123i	$-0.295233\pi$
$521$	−8.97060	−	15.5375i	−0.393009	−	0.680712i	−0.992845	+	0.119411i	$0.961899\pi$
$522$	5.52701	+	2.01167i	0.241911	+	0.0880483i
$523$	10.0458	−	8.42940i	0.439271	−	0.368592i	−0.396166	−	0.918179i	$-0.629659\pi$
$523$	10.0458	−	8.42940i	0.439271	−	0.368592i	0.835436	+	0.549587i	$0.185215\pi$
$524$	−4.88234	−	2.81882i	−0.213286	−	0.123141i
$525$	−2.15621	+	0.650417i	−0.0941045	+	0.0283865i
$526$	−3.14633	−	3.74965i	−0.137186	−	0.163492i
$527$	2.11241	−	2.51747i	0.0920180	−	0.109663i
$528$	3.75289	−	3.14905i	0.163323	−	0.137045i
$529$	21.0549	−	7.66335i	0.915430	−	0.333189i
$530$	4.12795	+	11.3414i	0.179307	+	0.492641i
$531$	−13.4551			−0.583903
$532$	−8.02808	−	8.27949i	−0.348061	−	0.358961i
$533$	23.4270			1.01474
$534$	−4.04438	−	11.1118i	−0.175017	−	0.480856i
$535$	1.60304	−	0.583459i	0.0693054	−	0.0252251i
$536$	−11.8035	+	9.90435i	−0.509835	+	0.427803i
$537$	10.2902	−	12.2633i	0.444054	−	0.529202i
$538$	17.3583	+	20.6868i	0.748368	+	0.891871i
$539$	−2.13643	−	34.2267i	−0.0920227	−	1.47425i
$540$	1.76396	+	1.01843i	0.0759089	+	0.0438260i
$541$	−12.7956	+	10.7368i	−0.550125	+	0.461610i	−0.874983	−	0.484153i	$-0.839128\pi$
$541$	−12.7956	+	10.7368i	−0.550125	+	0.461610i	0.324858	+	0.945763i	$0.394683\pi$
$542$	−11.2137	−	4.08146i	−0.481670	−	0.175314i
$543$	−3.16806	−	5.48724i	−0.135955	−	0.235480i
$544$	0.708889	−	1.22783i	0.0303934	−	0.0526428i
$545$	−2.04400	+	1.71512i	−0.0875552	+	0.0734676i
$546$	6.77016	−	15.7852i	0.289736	−	0.675546i
$547$	−10.6784	+	29.3386i	−0.456574	+	1.25443i	0.471446	+	0.881895i	$0.343732\pi$
$547$	−10.6784	+	29.3386i	−0.456574	+	1.25443i	−0.928020	+	0.372531i	$0.878490\pi$
$548$	−1.38619	+	7.86149i	−0.0592152	+	0.335826i
$549$	−9.81968	+	11.7026i	−0.419094	+	0.499456i
$550$	−3.61155	−	2.08513i	−0.153997	−	0.0889103i
$551$	22.7759	−	11.7711i	0.970285	−	0.501464i
$552$		−	0.770616i		−	0.0327996i
$553$	−0.649877	+	1.51525i	−0.0276356	+	0.0644348i
$554$	13.5849	−	16.1899i	0.577168	−	0.687842i
$555$	−1.92210	−	10.9008i	−0.0815887	−	0.462713i
$556$	23.0521	+	4.06471i	0.977627	+	0.172382i
$557$	6.47335	+	36.7122i	0.274285	+	1.55555i	0.741225	+	0.671257i	$0.234245\pi$
$557$	6.47335	+	36.7122i	0.274285	+	1.55555i	−0.466940	+	0.884289i	$0.654644\pi$
$558$	2.00740	+	1.15897i	0.0849798	+	0.0490631i
$559$	−3.58333	+	6.20651i	−0.151559	+	0.262507i
$560$	4.81074	−	2.42859i	0.203291	−	0.102627i
$561$	6.84024	−	1.20612i	0.288795	−	0.0509224i
$562$	−1.67203			−0.0705302
$563$	22.7900			0.960484			0.480242	−	0.877136i	$-0.340549\pi$
$563$	22.7900			0.960484			0.480242	+	0.877136i	$0.340549\pi$
$564$	−6.98817	+	1.23220i	−0.294255	+	0.0518851i
$565$	25.0550	+	21.0237i	1.05407	+	0.884472i
$566$	12.5869	+	4.58125i	0.529066	+	0.192564i
$567$	2.43155	+	1.04287i	0.102115	+	0.0437965i
$568$	0.245177	−	1.39047i	0.0102874	−	0.0583426i
$569$	11.7164	−	6.76450i	0.491179	−	0.283582i	−0.233884	−	0.972264i	$-0.575144\pi$
$569$	11.7164	−	6.76450i	0.491179	−	0.283582i	0.725063	+	0.688682i	$0.241810\pi$
$570$	8.47535	−	2.64479i	0.354993	−	0.110778i
$571$	4.30579	−	7.45785i	0.180192	−	0.312101i	−0.761754	−	0.647866i	$-0.775662\pi$
$571$	4.30579	−	7.45785i	0.180192	−	0.312101i	0.941946	+	0.335765i	$0.108995\pi$
$572$	29.8859	−	10.8776i	1.24959	−	0.454814i
$573$	−6.69937	−	5.62144i	−0.279870	−	0.234839i
$574$	7.98787	+	5.22993i	0.333407	+	0.218293i
$575$	−0.616419	+	0.224358i	−0.0257064	+	0.00935638i
$576$	0.939693	+	0.342020i	0.0391539	+	0.0142508i
$577$		−	16.8350i		−	0.700851i	−0.936591	−	0.350426i	$-0.886037\pi$
$577$		−	16.8350i		−	0.700851i	0.936591	−	0.350426i	$-0.113963\pi$
$578$	−12.9816	+	7.49495i	−0.539965	+	0.311749i
$579$	13.3772	+	15.9423i	0.555938	+	0.662541i
$580$	2.08034	+	11.7982i	0.0863814	+	0.489893i
$581$	−5.69634	−	18.8840i	−0.236324	−	0.783441i
$582$	15.4082	−	8.89592i	0.638690	−	0.368748i
$583$	−9.92857	+	27.2785i	−0.411199	+	1.12976i
$584$	−0.782584	+	4.43825i	−0.0323836	+	0.183656i
$585$	8.49953	+	10.1293i	0.351412	+	0.418797i
$586$	5.33098	+	0.939995i	0.220221	+	0.0388309i
$587$	−11.5628	−	2.03884i	−0.477250	−	0.0841520i	−0.0701514	−	0.997536i	$-0.522348\pi$
$587$	−11.5628	−	2.03884i	−0.477250	−	0.0841520i	−0.407098	+	0.913384i	$0.633459\pi$
$588$	5.83236	−	3.87087i	0.240522	−	0.159632i
$589$	9.64497	−	3.00978i	0.397414	−	0.124016i
$590$	−13.7030	−	23.7344i	−0.564145	−	0.977128i
$591$	−4.53753	−	3.80744i	−0.186649	−	0.156617i
$592$	−1.85866	−	5.10661i	−0.0763903	−	0.209881i
$593$	−34.0056	+	5.99611i	−1.39644	+	0.246231i	−0.820681	−	0.571387i	$-0.806406\pi$
$593$	−34.0056	+	5.99611i	−1.39644	+	0.246231i	−0.575762	+	0.817617i	$0.695295\pi$
$594$	1.67557	+	4.60360i	0.0687496	+	0.188888i
$595$	7.62839	+	0.428378i	0.312733	+	0.0175618i
$596$	−4.75116	−	8.22926i	−0.194615	−	0.337083i
$597$			1.75413i			0.0717917i
$598$	1.71103	−	4.70102i	0.0699693	−	0.192239i
$599$	14.7888	−	40.6319i	0.604255	−	1.66018i	−0.138299	−	0.990390i	$-0.544164\pi$
$599$	14.7888	−	40.6319i	0.604255	−	1.66018i	0.742554	−	0.669786i	$-0.233614\pi$
$600$		−	0.851240i		−	0.0347517i
$601$	−17.5860	−	30.4598i	−0.717348	−	1.24248i	−0.962047	−	0.272884i	$-0.912023\pi$
$601$	−17.5860	−	30.4598i	−0.717348	−	1.24248i	0.244699	−	0.969599i	$-0.421311\pi$
$602$	−2.60736	+	1.31627i	−0.106268	+	0.0536471i
$603$	−5.26999	−	14.4792i	−0.214611	−	0.589638i
$604$	14.9217	−	2.63110i	0.607156	−	0.107058i
$605$	9.05682	+	24.8834i	0.368212	+	1.01165i
$606$	−6.24448	−	5.23974i	−0.253665	−	0.212850i
$607$	1.62160	+	2.80869i	0.0658186	+	0.114001i	0.897057	−	0.441915i	$-0.145701\pi$
$607$	1.62160	+	2.80869i	0.0658186	+	0.114001i	−0.831238	+	0.555916i	$0.812367\pi$
$608$	3.87231	−	2.00129i	0.157043	−	0.0811632i
$609$	4.49412	+	14.8985i	0.182111	+	0.603718i
$610$	−30.6436	−	5.40330i	−1.24072	−	0.218773i
$611$	−45.3661	−	7.99927i	−1.83532	−	0.323616i
$612$	0.911330	+	1.08608i	0.0368383	+	0.0439022i
$613$	0.832024	−	4.71864i	0.0336051	−	0.190584i	−0.963384	−	0.268125i	$-0.913596\pi$
$613$	0.832024	−	4.71864i	0.0336051	−	0.190584i	0.996989	+	0.0775413i	$0.0247070\pi$
$614$	−1.01541	+	2.78982i	−0.0409787	+	0.112588i
$615$	−6.36559	+	3.67518i	−0.256685	+	0.148197i
$616$	12.6185	+	2.96291i	0.508413	+	0.119379i
$617$	−7.41477	−	42.0513i	−0.298508	−	1.69292i	−0.652594	−	0.757708i	$-0.726319\pi$
$617$	−7.41477	−	42.0513i	−0.298508	−	1.69292i	0.354087	−	0.935213i	$-0.384792\pi$
$618$	10.2035	+	12.1600i	0.410444	+	0.489149i
$619$	33.6276	−	19.4149i	1.35161	−	0.780351i	0.363133	−	0.931737i	$-0.381707\pi$
$619$	33.6276	−	19.4149i	1.35161	−	0.780351i	0.988475	+	0.151386i	$0.0483737\pi$
$620$			4.72130i			0.189612i
$621$	0.724142	+	0.263566i	0.0290588	+	0.0105765i
$622$	29.1385	−	10.6056i	1.16835	−	0.425244i
$623$	17.1375	−	26.1747i	0.686599	−	1.04867i
$624$	4.97304	+	4.17288i	0.199081	+	0.167049i
$625$	18.8119	−	6.84697i	0.752475	−	0.273879i
$626$	−4.37826	+	7.58338i	−0.174991	+	0.303093i
$627$	19.7047	+	8.23019i	0.786931	+	0.328682i
$628$	−14.8112	+	8.55124i	−0.591031	+	0.341232i
$629$	1.33791	−	7.58764i	0.0533458	−	0.302539i
$630$	0.636761	+	5.35125i	0.0253692	+	0.213199i
$631$	−15.4647	−	5.62869i	−0.615640	−	0.224075i	0.0153293	−	0.999882i	$-0.495120\pi$
$631$	−15.4647	−	5.62869i	−0.615640	−	0.224075i	−0.630969	+	0.775808i	$0.717343\pi$
$632$	−0.477369	−	0.400560i	−0.0189887	−	0.0159334i
$633$	−11.7925	+	2.07934i	−0.468710	+	0.0826463i
$634$	−24.6375			−0.978482
$635$	−10.4078			−0.413020
$636$	−5.83546	+	1.02895i	−0.231391	+	0.0408005i
$637$	44.1740	−	10.6638i	1.75024	−	0.422515i
$638$	−14.4074	+	24.9544i	−0.570395	+	0.987953i
$639$	1.22275	+	0.705958i	0.0483714	+	0.0279273i
$640$	0.353695	+	2.00591i	0.0139810	+	0.0792904i
$641$	1.46629	+	0.258547i	0.0579151	+	0.0102120i	0.202531	−	0.979276i	$-0.435083\pi$
$641$	1.46629	+	0.258547i	0.0579151	+	0.0102120i	−0.144616	+	0.989488i	$0.546195\pi$
$642$	0.145435	+	0.824804i	0.00573987	+	0.0325524i
$643$	24.2199	−	28.8641i	0.955139	−	1.13829i	−0.0351660	−	0.999381i	$-0.511196\pi$
$643$	24.2199	−	28.8641i	0.955139	−	1.13829i	0.990305	−	0.138909i	$-0.0443596\pi$
$644$	1.63288	−	1.22092i	0.0643444	−	0.0481111i
$645$		−	2.24858i		−	0.0885376i
$646$	6.17325	+	0.287789i	0.242883	+	0.0113229i
$647$	−13.5897	−	7.84604i	−0.534268	−	0.308460i	0.208485	−	0.978026i	$-0.433147\pi$
$647$	−13.5897	−	7.84604i	−0.534268	−	0.308460i	−0.742753	+	0.669566i	$0.766480\pi$
$648$	−0.642788	+	0.766044i	−0.0252511	+	0.0300931i
$649$	11.4464	−	64.9159i	0.449311	−	2.54817i
$650$	1.89004	−	5.19285i	0.0741336	−	0.203681i
$651$	0.724635	+	6.08973i	0.0284007	+	0.238676i
$652$	2.18392	−	1.83253i	0.0855289	−	0.0717673i
$653$	−5.43135	+	9.40737i	−0.212545	+	0.368139i	−0.952510	−	0.304506i	$-0.901509\pi$
$653$	−5.43135	+	9.40737i	−0.212545	+	0.368139i	0.739965	+	0.672645i	$0.234842\pi$
$654$	−0.654994	−	1.13448i	−0.0256123	−	0.0443618i
$655$	10.7905	+	3.92743i	0.421620	+	0.153457i
$656$	−2.76441	+	2.31962i	−0.107932	+	0.0905659i
$657$	−3.90294	−	2.25336i	−0.152268	−	0.0879120i
$658$	−13.6826	−	12.8552i	−0.533404	−	0.501147i
$659$	22.5092	+	26.8254i	0.876835	+	1.04497i	0.998625	+	0.0524149i	$0.0166918\pi$
$659$	22.5092	+	26.8254i	0.876835	+	1.04497i	−0.121791	+	0.992556i	$0.538864\pi$
$660$	−6.41414	+	7.64407i	−0.249670	+	0.297545i
$661$	−3.85830	+	3.23750i	−0.150070	+	0.125924i	−0.714732	−	0.699399i	$-0.753451\pi$
$661$	−3.85830	+	3.23750i	−0.150070	+	0.125924i	0.564661	+	0.825323i	$0.309007\pi$
$662$	17.9919	−	6.54852i	0.699275	−	0.254515i
$663$	3.14795	+	8.64893i	0.122256	+	0.335897i
$664$	7.45514			0.289316
$665$	19.0320	+	13.7684i	0.738029	+	0.533915i
$666$	5.43434			0.210577
$667$	1.55022	+	4.25921i	0.0600249	+	0.164917i
$668$	−12.1726	+	4.43046i	−0.470972	+	0.171420i
$669$	8.49075	−	7.12458i	0.328271	−	0.275452i
$670$	20.1737	−	24.0420i	0.779377	−	0.928825i
$671$	−48.1071	−	57.3318i	−1.85715	−	2.21327i
$672$	0.764082	+	2.53302i	0.0294751	+	0.0977133i
$673$	−38.2926	−	22.1082i	−1.47607	−	0.852209i	−0.476434	−	0.879210i	$-0.658071\pi$
$673$	−38.2926	−	22.1082i	−1.47607	−	0.852209i	−0.999635	+	0.0270007i	$0.991404\pi$
$674$	15.0516	−	12.6298i	0.579768	−	0.486483i
$675$	0.799904	+	0.291141i	0.0307883	+	0.0112060i
$676$	14.5720	+	25.2395i	0.560463	+	0.970751i
$677$	9.66188	−	16.7349i	0.371336	−	0.643173i	−0.618435	−	0.785836i	$-0.712233\pi$
$677$	9.66188	−	16.7349i	0.371336	−	0.643173i	0.989771	+	0.142663i	$0.0455664\pi$
$678$	−12.3009	+	10.3217i	−0.472412	+	0.396401i
$679$	43.2617	+	18.5546i	1.66023	+	0.712061i
$680$	−0.987686	+	2.71365i	−0.0378760	+	0.104064i
$681$	3.51610	−	19.9408i	0.134737	−	0.764132i
$682$	−7.29930	+	8.69897i	−0.279505	+	0.333101i
$683$	−26.5848	−	15.3488i	−1.01724	−	0.587304i	−0.103937	−	0.994584i	$-0.533144\pi$
$683$	−26.5848	−	15.3488i	−1.01724	−	0.587304i	−0.913303	+	0.407280i	$0.866477\pi$
$684$	0.556191	+	4.32327i	0.0212665	+	0.165304i
$685$		−	16.2597i		−	0.621251i
$686$	17.4426	+	6.22554i	0.665960	+	0.237692i
$687$	−0.870075	+	1.03692i	−0.0331954	+	0.0395608i
$688$	−0.191699	−	1.08718i	−0.00730844	−	0.0414482i
$689$	−37.8829	−	6.67978i	−1.44322	−	0.254479i
$690$	0.272563	+	1.54578i	0.0103763	+	0.0588470i
$691$	12.9650	+	7.48533i	0.493210	+	0.284755i	0.725905	−	0.687795i	$-0.241421\pi$
$691$	12.9650	+	7.48533i	0.493210	+	0.284755i	−0.232695	+	0.972550i	$0.574754\pi$
$692$	−7.31670	+	12.6729i	−0.278139	+	0.481751i
$693$	−7.10000	+	10.8441i	−0.269707	+	0.411933i
$694$	−11.5151	+	2.03042i	−0.437107	+	0.0770737i
$695$	−47.6780			−1.80853
$696$	−5.88172			−0.222946
$697$	−5.03859	+	0.888439i	−0.190850	+	0.0336520i
$698$	−10.8905	−	9.13823i	−0.412212	−	0.345887i
$699$	−12.6469	−	4.60311i	−0.478351	−	0.174106i
$700$	1.80371	−	1.34866i	0.0681740	−	0.0509745i
$701$	−1.02290	+	5.80117i	−0.0386345	+	0.219107i	−0.998012	−	0.0630169i	$-0.979928\pi$
$701$	−1.02290	+	5.80117i	−0.0386345	+	0.219107i	0.959378	+	0.282124i	$0.0910389\pi$
$702$	−5.62211	+	3.24592i	−0.212193	+	0.122510i
$703$	16.0547	−	17.4171i	0.605514	−	0.656900i
$704$	−2.44952	+	4.24270i	−0.0923199	+	0.159903i
$705$	13.5818	−	4.94337i	0.511520	−	0.186178i
$706$	−27.9775	−	23.4759i	−1.05295	−	0.883528i
$707$	1.20921	−	21.5331i	0.0454770	−	0.809837i
$708$	12.6437	−	4.60192i	0.475179	−	0.172951i
$709$	−20.7550	−	7.55419i	−0.779470	−	0.283704i	−0.0785181	−	0.996913i	$-0.525019\pi$
$709$	−20.7550	−	7.55419i	−0.779470	−	0.283704i	−0.700951	+	0.713209i	$0.747241\pi$
$710$			2.87586i			0.107929i
$711$	0.539674	−	0.311581i	0.0202393	−	0.0116852i
$712$	7.60095	+	9.05846i	0.284858	+	0.339480i
$713$	0.310178	+	1.75911i	0.0116163	+	0.0658790i
$714$	−0.857464	+	3.65177i	−0.0320898	+	0.136664i
$715$	−56.1009	+	32.3899i	−2.09805	+	1.21131i
$716$	−5.47528	+	15.0432i	−0.204621	+	0.562191i
$717$	1.40218	−	7.95216i	0.0523654	−	0.296979i
$718$	0.244208	+	0.291036i	0.00911378	+	0.0108614i
$719$	−36.8913	−	6.50492i	−1.37581	−	0.242593i	−0.563645	−	0.826017i	$-0.690601\pi$
$719$	−36.8913	−	6.50492i	−1.37581	−	0.242593i	−0.812167	+	0.583425i	$0.801712\pi$
$720$	−2.00591	−	0.353695i	−0.0747557	−	0.0131814i
$721$	−9.60038	+	40.8861i	−0.357537	+	1.52268i
$722$	15.4993	+	10.9896i	0.576824	+	0.408992i
$723$	3.15207	+	5.45954i	0.117227	+	0.203042i
$724$	4.85375	+	4.07278i	0.180388	+	0.151364i
$725$	1.71241	+	4.70481i	0.0635974	+	0.174732i
$726$	−12.8031	+	2.25754i	−0.475169	+	0.0837851i
$727$	15.2886	+	42.0050i	0.567022	+	1.55788i	0.809130	+	0.587630i	$0.199939\pi$
$727$	15.2886	+	42.0050i	0.567022	+	1.55788i	−0.242108	+	0.970249i	$0.577839\pi$
$728$	−0.963004	+	17.1488i	−0.0356913	+	0.635577i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$		−	9.17952i		−	0.339749i
$731$	0.535314	−	1.47076i	0.0197993	−	0.0543981i
$732$	5.22494	−	14.3554i	0.193119	−	0.530591i
$733$		−	8.46278i		−	0.312580i	−0.987711	−	0.156290i	$-0.950047\pi$
$733$		−	8.46278i		−	0.312580i	0.987711	−	0.156290i	$-0.0499535\pi$
$734$	3.18527	+	5.51705i	0.117571	+	0.203638i
$735$	−10.3301	+	9.82748i	−0.381030	+	0.362492i
$736$	0.263566	+	0.724142i	0.00971518	+	0.0266922i
$737$	74.3398	−	13.1081i	2.73834	−	0.482843i
$738$	−1.23424	−	3.39106i	−0.0454331	−	0.124826i
$739$	25.8718	+	21.7090i	0.951710	+	0.798580i	0.979585	−	0.201032i	$-0.0644295\pi$
$739$	25.8718	+	21.7090i	0.951710	+	0.798580i	−0.0278746	+	0.999611i	$0.508874\pi$
$740$	5.53447	+	9.58599i	0.203451	+	0.352388i
$741$	−6.20618	+	27.6084i	−0.227990	+	1.01422i
$742$	−11.4256	−	10.7347i	−0.419449	−	0.394083i
$743$	−7.24267	−	1.27708i	−0.265708	−	0.0468514i	0.0392069	−	0.999231i	$-0.487517\pi$
$743$	−7.24267	−	1.27708i	−0.265708	−	0.0468514i	−0.304915	+	0.952380i	$0.598628\pi$
$744$	−2.28273	−	0.402506i	−0.0836888	−	0.0147566i
$745$	12.4410	+	14.8266i	0.455804	+	0.543206i
$746$	−3.29167	+	18.6680i	−0.120517	+	0.683483i
$747$	−2.54981	+	7.00554i	−0.0932927	+	0.256319i
$748$	−6.01520	+	3.47288i	−0.219938	+	0.126981i
$749$	−1.51728	+	1.61494i	−0.0554402	+	0.0590086i
$750$	2.06956	+	11.7370i	0.0755695	+	0.428576i
$751$	−22.3640	−	26.6524i	−0.816076	−	0.972561i	0.183870	−	0.982951i	$-0.441137\pi$
$751$	−22.3640	−	26.6524i	−0.816076	−	0.972561i	−0.999946	+	0.0103894i	$0.996693\pi$
$752$	6.14529	−	3.54799i	0.224096	−	0.129382i
$753$		−	13.3416i		−	0.486193i
$754$	−35.8805	−	13.0594i	−1.30669	−	0.475597i
$755$	−29.0010	+	10.5555i	−1.05545	+	0.384154i
$756$	−2.64159	−	0.148341i	−0.0960737	−	0.00539509i
$757$	−14.1570	−	11.8791i	−0.514543	−	0.431753i	0.348181	−	0.937427i	$-0.386799\pi$
$757$	−14.1570	−	11.8791i	−0.514543	−	0.431753i	−0.862725	+	0.505674i	$0.831244\pi$
$758$	−11.0431	+	4.01934i	−0.401102	+	0.145989i
$759$	−1.88764	+	3.26949i	−0.0685171	+	0.118675i
$760$	−7.05965	+	5.38403i	−0.256080	+	0.195299i
$761$	16.3493	−	9.43926i	0.592661	−	0.342173i	−0.173488	−	0.984836i	$-0.555504\pi$
$761$	16.3493	−	9.43926i	0.592661	−	0.342173i	0.766149	+	0.642663i	$0.222171\pi$
$762$	0.887296	−	5.03211i	0.0321433	−	0.182294i
$763$	1.36615	−	3.18530i	0.0494579	−	0.115315i
$764$	8.21800	+	2.99111i	0.297317	+	0.108214i
$765$	−2.21218	−	1.85624i	−0.0799817	−	0.0671126i
$766$	−12.3316	+	2.17440i	−0.445560	+	0.0785642i
$767$	87.3486			3.15398
$768$	−1.00000			−0.0360844
$769$	−12.7341	+	2.24537i	−0.459204	+	0.0809700i	−0.398465	−	0.917184i	$-0.630457\pi$
$769$	−12.7341	+	2.24537i	−0.459204	+	0.0809700i	−0.0607390	+	0.998154i	$0.519346\pi$
$770$	−26.3594	−	1.48023i	−0.949928	−	0.0533440i
$771$	−5.85342	+	10.1384i	−0.210806	+	0.365126i
$772$	−18.0231	−	10.4056i	−0.648664	−	0.374506i
$773$	6.05299	+	34.3282i	0.217711	+	1.23470i	0.876140	+	0.482057i	$0.160110\pi$
$773$	6.05299	+	34.3282i	0.217711	+	1.23470i	−0.658429	+	0.752643i	$0.728779\pi$
$774$	1.08718	+	0.191699i	0.0390778	+	0.00689046i
$775$	0.342629	+	1.94315i	0.0123076	+	0.0697999i
$776$	−11.4364	+	13.6293i	−0.410542	+	0.489265i
$777$	8.60988	+	11.5150i	0.308878	+	0.413097i
$778$		−	11.2493i		−	0.403307i
$779$	−14.5147	−	6.06244i	−0.520043	−	0.217210i
$780$	−11.4514	−	6.61146i	−0.410025	−	0.236728i
$781$	−4.44619	+	5.29876i	−0.159097	+	0.189605i
$782$	−0.189721	+	1.07596i	−0.00678443	+	0.0384764i
$783$	2.01167	−	5.52701i	0.0718912	−	0.197519i
$784$	−4.15671	+	5.63221i	−0.148454	+	0.201150i
$785$	26.6853	−	22.3916i	0.952440	−	0.799192i
$786$	−2.81882	+	4.88234i	−0.100544	+	0.174147i
$787$	−5.58776	−	9.67828i	−0.199182	−	0.344994i	0.749081	−	0.662478i	$-0.230495\pi$
$787$	−5.58776	−	9.67828i	−0.199182	−	0.344994i	−0.948263	+	0.317484i	$0.897162\pi$
$788$	5.56611	+	2.02590i	0.198284	+	0.0721696i
$789$	−3.74965	+	3.14633i	−0.133491	+	0.112012i
$790$	1.09923	+	0.634643i	0.0391090	+	0.0225796i
$791$	−41.3596	−	9.71157i	−1.47058	−	0.345304i
$792$	−3.14905	−	3.75289i	−0.111896	−	0.133353i
$793$	63.7479	−	75.9717i	2.26375	−	2.69784i
$794$	2.18880	−	1.83662i	0.0776777	−	0.0651794i
$795$	11.3414	−	4.12795i	0.402240	−	0.146403i
$796$	−0.599947	−	1.64834i	−0.0212646	−	0.0584239i
$797$	−16.4087			−0.581225			−0.290612	−	0.956841i	$-0.593859\pi$
$797$	−16.4087			−0.581225			−0.290612	+	0.956841i	$0.593859\pi$
$798$	−8.27949	+	8.02808i	−0.293091	+	0.284191i
$799$	10.0605			0.355915
$800$	0.291141	+	0.799904i	0.0102934	+	0.0282809i
$801$	−11.1118	+	4.04438i	−0.392618	+	0.142901i
$802$	−21.8622	+	18.3446i	−0.771981	+	0.647769i
$803$	14.1919	−	16.9132i	0.500820	−	0.596854i
$804$	9.90435	+	11.8035i	0.349299	+	0.416279i
$805$	−2.84357	+	3.02660i	−0.100223	+	0.106674i
$806$	−13.0317	−	7.52386i	−0.459022	−	0.265017i
$807$	20.6868	−	17.3583i	0.728209	−	0.611040i
$808$	7.65998	+	2.78801i	0.269477	+	0.0980817i
$809$	−16.4383	−	28.4720i	−0.577939	−	1.00102i	−0.995715	−	0.0924704i	$-0.970524\pi$
$809$	−16.4383	−	28.4720i	−0.577939	−	1.00102i	0.417776	−	0.908550i	$-0.362810\pi$
$810$	1.01843	−	1.76396i	0.0357838	−	0.0619794i
$811$	−11.8974	+	9.98310i	−0.417774	+	0.350554i	−0.827316	−	0.561737i	$-0.810133\pi$
$811$	−11.8974	+	9.98310i	−0.417774	+	0.350554i	0.409542	+	0.912291i	$0.365689\pi$
$812$	−9.31868	−	12.4629i	−0.327022	−	0.437363i
$813$	−4.08146	+	11.2137i	−0.143143	+	0.393282i
$814$	−4.62305	+	26.2186i	−0.162038	+	0.918963i
$815$	−3.73258	+	4.44832i	−0.130747	+	0.155818i
$816$	−1.22783	−	0.708889i	−0.0429827	−	0.0248161i
$817$	3.82624	−	2.91808i	0.133863	−	0.102091i
$818$		−	19.3774i		−	0.677515i
$819$	−15.7852	−	6.77016i	−0.551581	−	0.236569i
$820$	4.72472	−	5.63070i	0.164994	−	0.196632i
$821$	5.73314	+	32.5142i	0.200088	+	1.13475i	0.904985	+	0.425445i	$0.139882\pi$
$821$	5.73314	+	32.5142i	0.200088	+	1.13475i	−0.704897	+	0.709310i	$0.749007\pi$
$822$	7.86149	+	1.38619i	0.274201	+	0.0483490i
$823$	0.858963	+	4.87142i	0.0299416	+	0.169807i	0.996112	−	0.0880981i	$-0.0280789\pi$
$823$	0.858963	+	4.87142i	0.0299416	+	0.169807i	−0.966170	+	0.257905i	$0.916968\pi$
$824$	−13.7471	−	7.93690i	−0.478904	−	0.276495i
$825$	−2.08513	+	3.61155i	−0.0725950	+	0.125738i
$826$	29.7831	+	19.5000i	1.03629	+	0.678492i
$827$	46.0390	−	8.11791i	1.60093	−	0.282288i	0.699312	−	0.714817i	$-0.253490\pi$
$827$	46.0390	−	8.11791i	1.60093	−	0.282288i	0.901620	+	0.432529i	$0.142379\pi$
$828$	−0.770616			−0.0267808
$829$	−22.9469			−0.796979			−0.398490	−	0.917173i	$-0.630466\pi$
$829$	−22.9469			−0.796979			−0.398490	+	0.917173i	$0.630466\pi$
$830$	−14.9543	+	2.63685i	−0.519072	+	0.0915264i
$831$	−16.1899	−	13.5849i	−0.561621	−	0.471256i
$832$	−6.10034	−	2.22034i	−0.211491	−	0.0769765i
$833$	−9.09635	+	3.96876i	−0.315170	+	0.137509i
$834$	4.06471	−	23.0521i	0.140749	−	0.798229i
$835$	22.8500	−	13.1925i	0.790758	−	0.456544i
$836$	−21.3313	−	0.994438i	−0.737758	−	0.0343934i
$837$	1.15897	−	2.00740i	0.0400599	−	0.0693858i
$838$	−16.4106	+	5.97299i	−0.566896	+	0.206333i
$839$	16.9917	+	14.2577i	0.586618	+	0.492231i	0.887113	−	0.461552i	$-0.152707\pi$
$839$	16.9917	+	14.2577i	0.586618	+	0.492231i	−0.300495	+	0.953783i	$0.597152\pi$
$840$	−2.42859	−	4.81074i	−0.0837945	−	0.165986i
$841$	5.25728	−	1.91349i	0.181286	−	0.0659825i
$842$	−22.1665	−	8.06796i	−0.763909	−	0.278040i
$843$			1.67203i			0.0575877i
$844$	10.3702	−	5.98722i	0.356956	−	0.206088i
$845$	−38.1573	−	45.4740i	−1.31265	−	1.56435i
$846$	1.23220	+	6.98817i	0.0423640	+	0.240258i
$847$	−25.0682	−	23.5522i	−0.861352	−	0.809263i
$848$	5.13161	−	2.96274i	0.176220	−	0.101741i
$849$	4.58125	−	12.5869i	0.157228	−	0.431980i
$850$	−0.209571	+	1.18853i	−0.00718821	+	0.0407664i
$851$	2.69186	+	3.20804i	0.0922758	+	0.109970i
$852$	−1.39047	−	0.245177i	−0.0476366	−	0.00839961i
$853$	−2.36626	−	0.417235i	−0.0810191	−	0.0142859i	0.132992	−	0.991117i	$-0.457542\pi$
$853$	−2.36626	−	0.417235i	−0.0810191	−	0.0142859i	−0.214011	+	0.976831i	$0.568653\pi$
$854$	38.6962	−	11.6727i	1.32416	−	0.399430i
$855$	−2.64479	−	8.47535i	−0.0904498	−	0.289851i
$856$	−0.418764	−	0.725320i	−0.0143131	−	0.0247909i
$857$	3.64128	+	3.05539i	0.124384	+	0.104370i	0.702858	−	0.711331i	$-0.251907\pi$
$857$	3.64128	+	3.05539i	0.124384	+	0.104370i	−0.578474	+	0.815701i	$0.696352\pi$
$858$	−10.8776	−	29.8859i	−0.371354	−	1.02029i
$859$	−39.9573	+	7.04555i	−1.36332	+	0.240391i	−0.806989	−	0.590567i	$-0.798904\pi$
$859$	−39.9573	+	7.04555i	−1.36332	+	0.240391i	−0.556336	+	0.830958i	$0.687793\pi$
$860$	0.769059	+	2.11297i	0.0262247	+	0.0720517i
$861$	5.22993	−	7.98787i	0.178235	−	0.272226i
$862$	−0.104652	−	0.181263i	−0.00356447	−	0.00617384i
$863$			14.9143i			0.507688i	0.967245	+	0.253844i	$0.0816951\pi$
$863$			14.9143i			0.507688i	−0.967245	+	0.253844i	$0.918305\pi$
$864$	0.342020	−	0.939693i	0.0116358	−	0.0319690i
$865$	10.1943	−	28.0085i	0.346615	−	0.952318i
$866$		−	15.0780i		−	0.512370i
$867$	7.49495	+	12.9816i	0.254542	+	0.440880i
$868$	−2.76375	−	5.47464i	−0.0938077	−	0.185821i
$869$	1.04415	+	2.86878i	0.0354204	+	0.0973168i
$870$	11.7982	−	2.08034i	0.399996	−	0.0705301i
$871$	34.2120	+	93.9967i	1.15923	+	3.18496i
$872$	1.00351	+	0.842044i	0.0339831	+	0.0285152i
$873$	−8.89592	−	15.4082i	−0.301081	−	0.521488i
$874$	−2.27663	+	2.46983i	−0.0770083	+	0.0835433i
$875$	−21.5910	+	22.9808i	−0.729910	+	0.776892i
$876$	4.43825	+	0.782584i	0.149955	+	0.0264411i
$877$	−12.6869	−	2.23704i	−0.428405	−	0.0755393i	−0.0447115	−	0.999000i	$-0.514237\pi$
$877$	−12.6869	−	2.23704i	−0.428405	−	0.0755393i	−0.383693	+	0.923461i	$0.625348\pi$
$878$	−7.75988	−	9.24786i	−0.261883	−	0.312100i
$879$	0.939995	−	5.33098i	0.0317053	−	0.179809i
$880$	3.41289	−	9.37684i	0.115049	−	0.316093i
$881$	39.7658	−	22.9588i	1.33974	−	0.773501i	0.352973	−	0.935633i	$-0.385171\pi$
$881$	39.7658	−	22.9588i	1.33974	−	0.773501i	0.986769	+	0.162133i	$0.0518373\pi$
$882$	−3.87087	−	5.83236i	−0.130339	−	0.196386i
$883$	6.81302	+	38.6386i	0.229276	+	1.30029i	0.854339	+	0.519717i	$0.173962\pi$
$883$	6.81302	+	38.6386i	0.229276	+	1.30029i	−0.625062	+	0.780575i	$0.714926\pi$
$884$	−5.91622	−	7.05067i	−0.198984	−	0.237140i
$885$	−23.7344	+	13.7030i	−0.797822	+	0.460623i
$886$			23.2890i			0.782409i
$887$	48.1224	+	17.5151i	1.61579	+	0.588100i	0.982574	−	0.185874i	$-0.0595115\pi$
$887$	48.1224	+	17.5151i	1.61579	+	0.588100i	0.633218	+	0.773974i	$0.281734\pi$
$888$	−5.10661	+	1.85866i	−0.171367	+	0.0623724i
$889$	12.0684	−	6.09248i	0.404763	−	0.204335i
$890$	−18.4507	−	15.4820i	−0.618470	−	0.518958i
$891$	4.60360	−	1.67557i	0.154226	−	0.0561338i
$892$	−5.54194	+	9.59893i	−0.185558	+	0.321396i
$893$	26.0375	+	16.6959i	0.871310	+	0.558708i
$894$	−8.22926	+	4.75116i	−0.275227	+	0.158903i
$895$	5.66219	−	32.1119i	0.189266	−	1.07338i
$896$	−1.58435	−	2.11893i	−0.0529293	−	0.0707884i
$897$	−4.70102	−	1.71103i	−0.156963	−	0.0571297i
$898$	0.474428	+	0.398092i	0.0158319	+	0.0132845i
$899$	13.4264	−	2.36743i	0.447794	−	0.0789582i
$900$	−0.851240			−0.0283747
$901$	8.40101			0.279878
$902$	17.4105	−	3.06995i	0.579707	−	0.102218i
$903$	1.31627	+	2.60736i	0.0438027	+	0.0867676i
$904$	8.02882	−	13.9063i	0.267035	−	0.462517i
$905$	−11.1767	−	6.45287i	−0.371526	−	0.214501i
$906$	−2.63110	−	14.9217i	−0.0874125	−	0.495741i
$907$	−29.9217	−	5.27599i	−0.993532	−	0.175187i	−0.346829	−	0.937928i	$-0.612742\pi$
$907$	−29.9217	−	5.27599i	−0.993532	−	0.175187i	−0.646703	+	0.762742i	$0.723853\pi$
$908$	3.51610	+	19.9408i	0.116686	+	0.661758i
$909$	−5.23974	+	6.24448i	−0.173791	+	0.207116i
$910$	−4.13375	−	34.7395i	−0.137033	−	1.15160i
$911$		−	25.7184i		−	0.852090i	−0.904702	−	0.426045i	$-0.859907\pi$
$911$		−	25.7184i		−	0.852090i	0.904702	−	0.426045i	$-0.140093\pi$
$912$	−2.00129	−	3.87231i	−0.0662695	−	0.128225i
$913$	−31.6299	−	18.2615i	−1.04680	−	0.604369i
$914$	−20.1366	+	23.9979i	−0.666059	+	0.793779i
$915$	−5.40330	+	30.6436i	−0.178628	+	1.01305i
$916$	0.462957	−	1.27196i	0.0152965	−	0.0420269i
$917$	−14.8113	+	1.76244i	−0.489112	+	0.0582009i
$918$	1.08608	−	0.911330i	0.0358460	−	0.0300784i
$919$	−12.6526	+	21.9149i	−0.417370	+	0.722906i	−0.995674	−	0.0929150i	$-0.970382\pi$
$919$	−12.6526	+	21.9149i	−0.417370	+	0.722906i	0.578304	+	0.815821i	$0.303715\pi$
$920$	−0.784815	−	1.35934i	−0.0258746	−	0.0448161i
$921$	2.78982	+	1.01541i	0.0919277	+	0.0334590i
$922$	−21.2591	+	17.8385i	−0.700131	+	0.587480i
$923$	−7.93794	−	4.58297i	−0.261280	−	0.150850i
$924$	2.96291	−	12.6185i	0.0974727	−	0.415117i
$925$	2.97349	+	3.54367i	0.0977678	+	0.116515i
$926$	18.7610	−	22.3585i	0.616525	−	0.734746i
$927$	12.1600	−	10.2035i	0.399388	−	0.335126i
$928$	5.52701	−	2.01167i	0.181433	−	0.0660362i
$929$	−6.26817	−	17.2217i	−0.205652	−	0.565025i	0.793393	−	0.608709i	$-0.208312\pi$
$929$	−6.26817	−	17.2217i	−0.205652	−	0.565025i	−0.999045	+	0.0436848i	$0.986090\pi$
$930$	4.72130			0.154818
$931$	−30.1285	−	4.82437i	−0.987421	−	0.158112i
$932$	13.4586			0.440851
$933$	−10.6056	−	29.1385i	−0.347210	−	0.953952i
$934$	−24.6781	+	8.98210i	−0.807492	+	0.293903i
$935$	10.8376	−	9.09382i	0.354427	−	0.297400i
$936$	4.17288	−	4.97304i	0.136395	−	0.162549i
$937$	2.53825	+	3.02496i	0.0829209	+	0.0988212i	0.805910	−	0.592038i	$-0.201677\pi$
$937$	2.53825	+	3.02496i	0.0829209	+	0.0988212i	−0.722989	+	0.690860i	$0.757232\pi$
$938$	−9.31893	+	39.6875i	−0.304274	+	1.29584i
$939$	7.58338	+	4.37826i	0.247474	+	0.142879i
$940$	−11.0720	+	9.29049i	−0.361128	+	0.303022i
$941$	42.9247	+	15.6233i	1.39931	+	0.509306i	0.927972	−	0.372649i	$-0.121551\pi$
$941$	42.9247	+	15.6233i	1.39931	+	0.509306i	0.471334	+	0.881955i	$0.343773\pi$
$942$	8.55124	+	14.8112i	0.278614	+	0.482574i
$943$	1.39046	−	2.40834i	0.0452795	−	0.0784263i
$944$	−10.3072	+	8.64879i	−0.335472	+	0.281494i
$945$	5.35125	−	0.636761i	0.174076	−	0.0207138i
$946$	−1.84974	+	5.08213i	−0.0601404	+	0.165234i
$947$	−0.285331	+	1.61819i	−0.00927201	+	0.0525842i	−0.989093	−	0.147294i	$-0.952944\pi$
$947$	−0.285331	+	1.61819i	−0.00927201	+	0.0525842i	0.979821	+	0.199878i	$0.0640547\pi$
$948$	−0.400560	+	0.477369i	−0.0130096	+	0.0155042i
$949$	25.3373	+	14.6285i	0.822482	+	0.474860i
$950$	−2.51482	+	2.72823i	−0.0815916	+	0.0885156i
$951$			24.6375i			0.798927i
$952$	−0.443226	−	3.72481i	−0.0143650	−	0.120722i
$953$	−34.4154	+	41.0147i	−1.11482	+	1.32860i	−0.175926	+	0.984403i	$0.556292\pi$
$953$	−34.4154	+	41.0147i	−1.11482	+	1.32860i	−0.938899	+	0.344193i	$0.888152\pi$
$954$	1.02895	+	5.83546i	0.0333134	+	0.188930i
$955$	−17.5425	−	3.09321i	−0.567661	−	0.100094i
$956$	1.40218	+	7.95216i	0.0453498	+	0.257191i
$957$	24.9544	+	14.4074i	0.806661	+	0.465726i
$958$	−5.99715	+	10.3874i	−0.193759	+	0.335601i
$959$	9.51807	+	18.8541i	0.307355	+	0.608831i
$960$	2.00591	−	0.353695i	0.0647403	−	0.0114155i
$961$	−25.6271			−0.826682
$962$	−35.2789			−1.13744
$963$	0.824804	−	0.145435i	0.0265789	−	0.00468658i
$964$	−4.82924	−	4.05222i	−0.155540	−	0.130513i
$965$	39.8330	+	14.4980i	1.28227	+	0.466708i
$966$	−1.22092	−	1.63288i	−0.0392825	−	0.0525370i
$967$	8.11120	−	46.0009i	0.260839	−	1.47929i	−0.519790	−	0.854294i	$-0.673990\pi$
$967$	8.11120	−	46.0009i	0.260839	−	1.47929i	0.780628	−	0.624996i	$-0.214899\pi$
$968$	11.2589	−	6.50033i	0.361875	−	0.208928i
$969$	0.287789	−	6.17325i	0.00924512	−	0.198313i
$970$	18.1197	−	31.3842i	0.581787	−	1.00769i
$971$	−34.8134	+	12.6710i	−1.11721	+	0.406633i	−0.833635	−	0.552316i	$-0.813744\pi$
$971$	−34.8134	+	12.6710i	−1.11721	+	0.406633i	−0.283579	+	0.958949i	$0.591522\pi$
$972$	0.766044	+	0.642788i	0.0245709	+	0.0206174i
$973$	55.2856	−	27.9097i	1.77238	−	0.894744i
$974$	−25.2289	+	9.18258i	−0.808387	+	0.294229i
$975$	−5.19285	−	1.89004i	−0.166304	−	0.0605299i
$976$			15.2767i			0.488996i
$977$	41.2561	−	23.8192i	1.31990	−	0.762045i	0.336189	−	0.941795i	$-0.390862\pi$
$977$	41.2561	−	23.8192i	1.31990	−	0.762045i	0.983712	+	0.179749i	$0.0575287\pi$
$978$	−1.83253	−	2.18392i	−0.0585977	−	0.0698340i
$979$	−10.0596	−	57.0510i	−0.321507	−	1.82336i
$980$	6.34588	−	12.7679i	0.202712	−	0.407855i
$981$	−1.13448	+	0.654994i	−0.0362212	+	0.0209123i
$982$	−5.60696	+	15.4050i	−0.178925	+	0.491593i
$983$	0.197881	−	1.12224i	0.00631142	−	0.0357938i	−0.981489	−	0.191516i	$-0.938659\pi$
$983$	0.197881	−	1.12224i	0.00631142	−	0.0357938i	0.987801	+	0.155723i	$0.0497706\pi$
$984$	2.31962	+	2.76441i	0.0739467	+	0.0881263i
$985$	−11.8816	−	2.09505i	−0.378581	−	0.0667540i
$986$	8.21229	+	1.44805i	0.261533	+	0.0461153i
$987$	−12.8552	+	13.6826i	−0.409185	+	0.435523i
$988$	−3.61071	−	28.0660i	−0.114872	−	0.892898i
$989$	0.425360	+	0.736745i	0.0135257	+	0.0234271i
$990$	7.64407	+	6.41414i	0.242944	+	0.203855i
$991$	3.13109	+	8.60261i	0.0994624	+	0.273271i	0.979437	−	0.201750i	$-0.0646628\pi$
$991$	3.13109	+	8.60261i	0.0994624	+	0.273271i	−0.879975	+	0.475021i	$0.842441\pi$
$992$	2.28273	−	0.402506i	0.0724766	−	0.0127796i
$993$	−6.54852	−	17.9919i	−0.207811	−	0.570956i
$994$	−1.68347	−	3.33474i	−0.0533963	−	0.105771i
$995$	1.78645	+	3.09422i	0.0566342	+	0.0980934i
$996$		−	7.45514i		−	0.236225i
$997$	−8.66785	+	23.8147i	−0.274514	+	0.754220i	0.723446	+	0.690380i	$0.242557\pi$
$997$	−8.66785	+	23.8147i	−0.274514	+	0.754220i	−0.997960	+	0.0638397i	$0.979665\pi$
$998$	−7.15547	+	19.6595i	−0.226502	+	0.622310i
$999$		−	5.43434i		−	0.171935i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.325.11	✓	72
7.5	odd	6		798.2.cj.a.439.11	yes	72
19.10	odd	18		798.2.cj.a.409.11	yes	72
133.124	even	18	inner	798.2.ca.a.523.11	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.325.11	✓	72	1.1	even	1	trivial
798.2.ca.a.523.11	yes	72	133.124	even	18	inner
798.2.cj.a.409.11	yes	72	19.10	odd	18
798.2.cj.a.439.11	yes	72	7.5	odd	6

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(1.30926 - 1.56032i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-0.604794 + 2.57570i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(0.342020 + 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(1.30926 - 1.56032i) q^{5} +(0.642788 + 0.766044i) q^{6} +(-0.604794 + 2.57570i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.91401 + 0.696644i) q^{10} +(2.44952 + 4.24270i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-4.97304 + 4.17288i) q^{13} +(-2.62722 + 0.312620i) q^{14} +(0.696644 - 1.91401i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.911330 - 1.08608i) q^{17} +(0.866025 + 0.500000i) q^{18} +(4.16101 - 1.29847i) q^{19} +2.03685i q^{20} +(0.312620 + 2.62722i) q^{21} +(-3.14905 + 3.75289i) q^{22} +(0.133816 + 0.758909i) q^{23} +(-0.984808 - 0.173648i) q^{24} +(0.147816 + 0.838308i) q^{25} +(-5.62211 - 3.24592i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-1.19233 - 2.36185i) q^{28} +(5.79237 - 1.02135i) q^{29} +2.03685 q^{30} +2.31794 q^{31} +(0.984808 - 0.173648i) q^{32} +(3.75289 + 3.14905i) q^{33} +(1.33228 + 0.484909i) q^{34} +(3.22708 + 4.31594i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(4.70628 - 2.71717i) q^{37} +(2.64331 + 3.46596i) q^{38} +(-3.24592 + 5.62211i) q^{39} +(-1.91401 + 0.696644i) q^{40} +(-2.76441 - 2.31962i) q^{41} +(-2.36185 + 1.19233i) q^{42} +(1.03737 - 0.377572i) q^{43} +(-4.60360 - 1.67557i) q^{44} -2.03685i q^{45} +(-0.667373 + 0.385308i) q^{46} +(4.56120 + 5.43583i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(-6.26845 - 3.11554i) q^{49} +(-0.737195 + 0.425620i) q^{50} +(0.484909 - 1.33228i) q^{51} +(1.12730 - 6.39322i) q^{52} +(3.80882 + 4.53918i) q^{53} +(0.984808 + 0.173648i) q^{54} +(9.82703 + 1.73277i) q^{55} +(1.81162 - 1.92822i) q^{56} +(3.46596 - 2.64331i) q^{57} +(2.94086 + 5.09372i) q^{58} +(-10.3072 - 8.64879i) q^{59} +(0.696644 + 1.91401i) q^{60} +(-15.0446 + 2.65277i) q^{61} +(0.792783 + 2.17815i) q^{62} +(1.19233 + 2.36185i) q^{63} +(0.500000 + 0.866025i) q^{64} +13.2229i q^{65} +(-1.67557 + 4.60360i) q^{66} +(5.26999 - 14.4792i) q^{67} +1.41778i q^{68} +(0.385308 + 0.667373i) q^{69} +(-2.95193 + 4.50860i) q^{70} +(0.482904 + 1.32677i) q^{71} +(-0.984808 + 0.173648i) q^{72} +(-1.54139 - 4.23493i) q^{73} +(4.16295 + 3.49313i) q^{74} +(0.425620 + 0.737195i) q^{75} +(-2.35288 + 3.66933i) q^{76} +(-12.4094 + 3.74327i) q^{77} +(-6.39322 - 1.12730i) q^{78} +(0.613694 + 0.108211i) q^{79} +(-1.30926 - 1.56032i) q^{80} +(0.173648 - 0.984808i) q^{81} +(1.23424 - 3.39106i) q^{82} +(-6.45634 + 3.72757i) q^{83} +(-1.92822 - 1.81162i) q^{84} +(-0.501461 - 2.84393i) q^{85} +(0.709604 + 0.845673i) q^{86} +(5.09372 - 2.94086i) q^{87} -4.89905i q^{88} +(-11.1118 - 4.04438i) q^{89} +(1.91401 - 0.696644i) q^{90} +(-7.74041 - 15.3328i) q^{91} +(-0.590326 - 0.495342i) q^{92} +(2.17815 - 0.792783i) q^{93} +(-3.54799 + 6.14529i) q^{94} +(3.42182 - 8.19253i) q^{95} +(0.866025 - 0.500000i) q^{96} +(3.08952 - 17.5216i) q^{97} +(0.783710 - 6.95599i) q^{98} +(4.60360 + 1.67557i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7}+O(q^{10}) \) 72 * q - 6 * q^7	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

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