LMFDB - Embedded newform 192.2.s.a.35.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			35.3
Character	$\chi$	$=$	192.35
Dual form			192.2.s.a.11.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35305 - 0.411422i) q^{2} +(-0.145818 + 1.72590i) q^{3} +(1.66146 + 1.11334i) q^{4} +(0.731423 + 0.488721i) q^{5} +(0.907373 - 2.27523i) q^{6} +(0.683144 + 1.64925i) q^{7} +(-1.78998 - 2.18997i) q^{8} +(-2.95747 - 0.503337i) q^{9} +O(q^{10})$	\(q+(-1.35305 - 0.411422i) q^{2} +(-0.145818 + 1.72590i) q^{3} +(1.66146 + 1.11334i) q^{4} +(0.731423 + 0.488721i) q^{5} +(0.907373 - 2.27523i) q^{6} +(0.683144 + 1.64925i) q^{7} +(-1.78998 - 2.18997i) q^{8} +(-2.95747 - 0.503337i) q^{9} +(-0.788578 - 0.962186i) q^{10} +(0.385603 + 1.93856i) q^{11} +(-2.16380 + 2.70518i) q^{12} +(-0.659632 - 0.987209i) q^{13} +(-0.245785 - 2.51258i) q^{14} +(-0.950140 + 1.19110i) q^{15} +(1.52093 + 3.69957i) q^{16} +(-2.96995 + 2.96995i) q^{17} +(3.79451 + 1.89781i) q^{18} +(2.88241 + 4.31384i) q^{19} +(0.671118 + 1.62632i) q^{20} +(-2.94607 + 0.938547i) q^{21} +(0.275827 - 2.78160i) q^{22} +(-1.53714 + 3.71099i) q^{23} +(4.04068 - 2.77000i) q^{24} +(-1.61729 - 3.90447i) q^{25} +(0.486353 + 1.60713i) q^{26} +(1.29996 - 5.03091i) q^{27} +(-0.701171 + 3.50075i) q^{28} +(8.74967 + 1.74042i) q^{29} +(1.77563 - 1.22070i) q^{30} +2.66183 q^{31} +(-0.535800 - 5.63142i) q^{32} +(-3.40199 + 0.382836i) q^{33} +(5.24038 - 2.79658i) q^{34} +(-0.306359 + 1.54017i) q^{35} +(-4.35335 - 4.12896i) q^{36} +(-2.69661 - 1.80182i) q^{37} +(-2.12523 - 7.02271i) q^{38} +(1.80001 - 0.994507i) q^{39} +(-0.238950 - 2.47660i) q^{40} +(-9.64627 - 3.99562i) q^{41} +(4.37230 - 0.0578208i) q^{42} +(-0.964098 - 4.84685i) q^{43} +(-1.51762 + 3.65015i) q^{44} +(-1.91717 - 1.81353i) q^{45} +(3.60660 - 4.38872i) q^{46} +(2.39391 + 2.39391i) q^{47} +(-6.60687 + 2.08550i) q^{48} +(2.69639 - 2.69639i) q^{49} +(0.581876 + 5.94832i) q^{50} +(-4.69277 - 5.55892i) q^{51} +(0.00314928 - 2.37461i) q^{52} +(13.1496 - 2.61561i) q^{53} +(-3.82874 + 6.27222i) q^{54} +(-0.665376 + 1.60636i) q^{55} +(2.38900 - 4.44820i) q^{56} +(-7.86557 + 4.34573i) q^{57} +(-11.1227 - 5.95467i) q^{58} +(5.24528 - 7.85011i) q^{59} +(-2.90473 + 0.921136i) q^{60} +(4.01516 + 0.798665i) q^{61} +(-3.60158 - 1.09514i) q^{62} +(-1.19025 - 5.22148i) q^{63} +(-1.59193 + 7.84001i) q^{64} -1.04444i q^{65} +(4.76055 + 0.881659i) q^{66} +(-1.21588 + 6.11263i) q^{67} +(-8.24105 + 1.62789i) q^{68} +(-6.18065 - 3.19408i) q^{69} +(1.04818 - 1.95788i) q^{70} +(8.97139 - 3.71607i) q^{71} +(4.19153 + 7.37774i) q^{72} +(-3.96854 - 1.64382i) q^{73} +(2.90733 + 3.54738i) q^{74} +(6.97457 - 2.22193i) q^{75} +(-0.0137615 + 10.3764i) q^{76} +(-2.93375 + 1.96027i) q^{77} +(-2.84466 + 0.605049i) q^{78} +(3.91615 + 3.91615i) q^{79} +(-0.695616 + 3.44926i) q^{80} +(8.49330 + 2.97721i) q^{81} +(11.4080 + 9.37494i) q^{82} +(7.85219 - 5.24667i) q^{83} +(-5.93971 - 1.72063i) q^{84} +(-3.62377 + 0.720813i) q^{85} +(-0.689631 + 6.95466i) q^{86} +(-4.27966 + 14.8473i) q^{87} +(3.55516 - 4.31444i) q^{88} +(7.76699 - 3.21719i) q^{89} +(1.84790 + 3.24256i) q^{90} +(1.17754 - 1.76231i) q^{91} +(-6.68551 + 4.45430i) q^{92} +(-0.388144 + 4.59406i) q^{93} +(-2.25416 - 4.22397i) q^{94} +4.56394i q^{95} +(9.79741 - 0.103573i) q^{96} +2.84961i q^{97} +(-4.75769 + 2.53899i) q^{98} +(-0.164664 - 5.92732i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{16}\right)$

Coefficient data

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

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

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

$2$	−1.35305	−	0.411422i	−0.956748	−	0.290919i
$2$	−1.35305	−	0.411422i	−0.956748	−	0.290919i
$3$	−0.145818	+	1.72590i	−0.0841883	+	0.996450i
$3$	−0.145818	+	1.72590i	−0.0841883	+	0.996450i
$4$	1.66146	+	1.11334i	0.830732	+	0.556672i
$5$	0.731423	+	0.488721i	0.327102	+	0.218563i	0.708267	−	0.705944i	$-0.249477\pi$
$5$	0.731423	+	0.488721i	0.327102	+	0.218563i	−0.381165	+	0.924507i	$0.624477\pi$
$6$	0.907373	−	2.27523i	0.370433	−	0.928859i
$7$	0.683144	+	1.64925i	0.258204	+	0.623360i	0.998820	−	0.0485690i	$-0.0154661\pi$
$7$	0.683144	+	1.64925i	0.258204	+	0.623360i	−0.740616	+	0.671929i	$0.765466\pi$
$8$	−1.78998	−	2.18997i	−0.632854	−	0.774271i
$9$	−2.95747	−	0.503337i	−0.985825	−	0.167779i
$10$	−0.788578	−	0.962186i	−0.249370	−	0.304270i
$11$	0.385603	+	1.93856i	0.116264	+	0.584497i	0.994364	+	0.106021i	$0.0338109\pi$
$11$	0.385603	+	1.93856i	0.116264	+	0.584497i	−0.878100	+	0.478477i	$0.841189\pi$
$12$	−2.16380	+	2.70518i	−0.624634	+	0.780918i
$13$	−0.659632	−	0.987209i	−0.182949	−	0.273803i	0.728647	−	0.684889i	$-0.240149\pi$
$13$	−0.659632	−	0.987209i	−0.182949	−	0.273803i	−0.911596	+	0.411087i	$0.865149\pi$
$14$	−0.245785	−	2.51258i	−0.0656888	−	0.671515i
$15$	−0.950140	+	1.19110i	−0.245325	+	0.307541i
$16$	1.52093	+	3.69957i	0.380232	+	0.924891i
$17$	−2.96995	+	2.96995i	−0.720319	+	0.720319i	−0.968670	−	0.248351i	$-0.920111\pi$
$17$	−2.96995	+	2.96995i	−0.720319	+	0.720319i	0.248351	+	0.968670i	$0.420111\pi$
$18$	3.79451	+	1.89781i	0.894375	+	0.447317i
$19$	2.88241	+	4.31384i	0.661271	+	0.989662i	0.998830	+	0.0483579i	$0.0153988\pi$
$19$	2.88241	+	4.31384i	0.661271	+	0.989662i	−0.337559	+	0.941304i	$0.609601\pi$
$20$	0.671118	+	1.62632i	0.150067	+	0.363656i
$21$	−2.94607	+	0.938547i	−0.642885	+	0.204808i
$22$	0.275827	−	2.78160i	0.0588064	−	0.593040i
$23$	−1.53714	+	3.71099i	−0.320516	+	0.773794i	0.678708	+	0.734408i	$0.262540\pi$
$23$	−1.53714	+	3.71099i	−0.320516	+	0.773794i	−0.999224	+	0.0393859i	$0.987460\pi$
$24$	4.04068	−	2.77000i	0.824801	−	0.565423i
$25$	−1.61729	−	3.90447i	−0.323457	−	0.780895i
$26$	0.486353	+	1.60713i	0.0953816	+	0.315183i
$27$	1.29996	−	5.03091i	0.250178	−	0.968200i
$28$	−0.701171	+	3.50075i	−0.132509	+	0.661580i
$29$	8.74967	+	1.74042i	1.62477	+	0.323188i	0.921692	−	0.387922i	$-0.126807\pi$
$29$	8.74967	+	1.74042i	1.62477	+	0.323188i	0.703081	+	0.711109i	$0.251807\pi$
$30$	1.77563	−	1.22070i	0.324184	−	0.222869i
$31$	2.66183			0.478079			0.239039	−	0.971010i	$-0.423167\pi$
$31$	2.66183			0.478079			0.239039	+	0.971010i	$0.423167\pi$
$32$	−0.535800	−	5.63142i	−0.0947170	−	0.995504i
$33$	−3.40199	+	0.382836i	−0.592210	+	0.0666432i
$34$	5.24038	−	2.79658i	0.898718	−	0.479609i
$35$	−0.306359	+	1.54017i	−0.0517841	+	0.260336i
$36$	−4.35335	−	4.12896i	−0.725558	−	0.688161i
$37$	−2.69661	−	1.80182i	−0.443320	−	0.296217i	0.313805	−	0.949488i	$-0.398396\pi$
$37$	−2.69661	−	1.80182i	−0.443320	−	0.296217i	−0.757124	+	0.653271i	$0.773396\pi$
$38$	−2.12523	−	7.02271i	−0.344758	−	1.13923i
$39$	1.80001	−	0.994507i	0.288233	−	0.159249i
$40$	−0.238950	−	2.47660i	−0.0377813	−	0.391584i
$41$	−9.64627	−	3.99562i	−1.50649	−	0.624011i	−0.531664	−	0.846955i	$-0.678433\pi$
$41$	−9.64627	−	3.99562i	−1.50649	−	0.624011i	−0.974831	+	0.222945i	$0.928433\pi$
$42$	4.37230	−	0.0578208i	0.674661	−	0.00892195i
$43$	−0.964098	−	4.84685i	−0.147024	−	0.739138i	−0.982004	−	0.188858i	$-0.939521\pi$
$43$	−0.964098	−	4.84685i	−0.147024	−	0.739138i	0.834981	−	0.550279i	$-0.185479\pi$
$44$	−1.51762	+	3.65015i	−0.228790	+	0.550282i
$45$	−1.91717	−	1.81353i	−0.285795	−	0.270345i
$46$	3.60660	−	4.38872i	0.531764	−	0.647081i
$47$	2.39391	+	2.39391i	0.349187	+	0.349187i	0.859807	−	0.510620i	$-0.170584\pi$
$47$	2.39391	+	2.39391i	0.349187	+	0.349187i	−0.510620	+	0.859807i	$0.670584\pi$
$48$	−6.60687	+	2.08550i	−0.953619	+	0.301017i
$49$	2.69639	−	2.69639i	0.385199	−	0.385199i
$50$	0.581876	+	5.94832i	0.0822896	+	0.841219i
$51$	−4.69277	−	5.55892i	−0.657119	−	0.778404i
$52$	0.00314928	−	2.37461i	0.000436726	−	0.329299i
$53$	13.1496	−	2.61561i	1.80623	−	0.359282i	0.827030	−	0.562158i	$-0.190029\pi$
$53$	13.1496	−	2.61561i	1.80623	−	0.359282i	0.979205	+	0.202876i	$0.0650287\pi$
$54$	−3.82874	+	6.27222i	−0.521025	+	0.853541i
$55$	−0.665376	+	1.60636i	−0.0897192	+	0.216601i
$56$	2.38900	−	4.44820i	0.319244	−	0.594416i
$57$	−7.86557	+	4.34573i	−1.04182	+	0.575606i
$58$	−11.1227	−	5.95467i	−1.46048	−	0.781887i
$59$	5.24528	−	7.85011i	0.682877	−	1.02200i	−0.314474	−	0.949266i	$-0.601828\pi$
$59$	5.24528	−	7.85011i	0.682877	−	1.02200i	0.997352	−	0.0727319i	$-0.0231717\pi$
$60$	−2.90473	+	0.921136i	−0.374999	+	0.118918i
$61$	4.01516	+	0.798665i	0.514088	+	0.102259i	0.445315	−	0.895374i	$-0.353092\pi$
$61$	4.01516	+	0.798665i	0.514088	+	0.102259i	0.0687730	+	0.997632i	$0.478092\pi$
$62$	−3.60158	−	1.09514i	−0.457401	−	0.139082i
$63$	−1.19025	−	5.22148i	−0.149957	−	0.657845i
$64$	−1.59193	+	7.84001i	−0.198991	+	0.980001i
$65$		−	1.04444i		−	0.129547i
$66$	4.76055	+	0.881659i	0.585984	+	0.108525i
$67$	−1.21588	+	6.11263i	−0.148543	+	0.746777i	0.832658	+	0.553788i	$0.186818\pi$
$67$	−1.21588	+	6.11263i	−0.148543	+	0.746777i	−0.981201	+	0.192989i	$0.938182\pi$
$68$	−8.24105	+	1.62789i	−0.999374	+	0.197410i
$69$	−6.18065	−	3.19408i	−0.744063	−	0.384523i
$70$	1.04818	−	1.95788i	0.125281	−	0.234011i
$71$	8.97139	−	3.71607i	1.06471	−	0.441017i	0.219588	−	0.975593i	$-0.429529\pi$
$71$	8.97139	−	3.71607i	1.06471	−	0.441017i	0.845120	+	0.534576i	$0.179529\pi$
$72$	4.19153	+	7.37774i	0.493977	+	0.869475i
$73$	−3.96854	−	1.64382i	−0.464482	−	0.192395i	0.138154	−	0.990411i	$-0.455883\pi$
$73$	−3.96854	−	1.64382i	−0.464482	−	0.192395i	−0.602636	+	0.798016i	$0.705883\pi$
$74$	2.90733	+	3.54738i	0.337970	+	0.412375i
$75$	6.97457	−	2.22193i	0.805354	−	0.256567i
$76$	−0.0137615	+	10.3764i	−0.00157855	+	1.19026i
$77$	−2.93375	+	1.96027i	−0.334332	+	0.223394i
$78$	−2.84466	+	0.605049i	−0.322094	+	0.0685083i
$79$	3.91615	+	3.91615i	0.440601	+	0.440601i	0.892214	−	0.451613i	$-0.149151\pi$
$79$	3.91615	+	3.91615i	0.440601	+	0.440601i	−0.451613	+	0.892214i	$0.649151\pi$
$80$	−0.695616	+	3.44926i	−0.0777722	+	0.385639i
$81$	8.49330	+	2.97721i	0.943701	+	0.330801i
$82$	11.4080	+	9.37494i	1.25980	+	1.03529i
$83$	7.85219	−	5.24667i	0.861890	−	0.575897i	−0.0441802	−	0.999024i	$-0.514068\pi$
$83$	7.85219	−	5.24667i	0.861890	−	0.575897i	0.906070	+	0.423127i	$0.139068\pi$
$84$	−5.93971	−	1.72063i	−0.648076	−	0.187736i
$85$	−3.62377	+	0.720813i	−0.393053	+	0.0781831i
$86$	−0.689631	+	6.95466i	−0.0743648	+	0.749940i
$87$	−4.27966	+	14.8473i	−0.458827	+	1.59180i
$88$	3.55516	−	4.31444i	0.378981	−	0.459921i
$89$	7.76699	−	3.21719i	0.823299	−	0.341022i	0.0690524	−	0.997613i	$-0.478002\pi$
$89$	7.76699	−	3.21719i	0.823299	−	0.341022i	0.754246	+	0.656591i	$0.228002\pi$
$90$	1.84790	+	3.24256i	0.194785	+	0.341796i
$91$	1.17754	−	1.76231i	0.123439	−	0.184740i
$92$	−6.68551	+	4.45430i	−0.697013	+	0.464393i
$93$	−0.388144	+	4.59406i	−0.0402486	+	0.476382i
$94$	−2.25416	−	4.22397i	−0.232499	−	0.435669i
$95$			4.56394i			0.468250i
$96$	9.79741	−	0.103573i	0.999944	−	0.0105709i
$97$			2.84961i			0.289335i	0.989480	+	0.144667i	$0.0462112\pi$
$97$			2.84961i			0.289335i	−0.989480	+	0.144667i	$0.953789\pi$
$98$	−4.75769	+	2.53899i	−0.480600	+	0.256476i
$99$	−0.164664	−	5.92732i	−0.0165494	−	0.595718i
$100$	1.65996	−	8.28774i	0.165996	−	0.828774i
$101$	−3.25049	+	4.86470i	−0.323436	+	0.484056i	−0.957183	−	0.289485i	$-0.906516\pi$
$101$	−3.25049	+	4.86470i	−0.323436	+	0.484056i	0.633747	+	0.773540i	$0.281516\pi$
$102$	4.06247	+	9.45218i	0.402245	+	0.935905i
$103$	−14.4703	+	5.99378i	−1.42580	+	0.590585i	−0.956310	−	0.292354i	$-0.905562\pi$
$103$	−14.4703	+	5.99378i	−1.42580	+	0.590585i	−0.469488	+	0.882939i	$0.655562\pi$
$104$	−0.981228	+	3.21166i	−0.0962173	+	0.314929i
$105$	−2.61351	−	0.753330i	−0.255052	−	0.0735175i
$106$	−18.8681	−	1.87098i	−1.83263	−	0.181726i
$107$	−10.5840	+	2.10528i	−1.02319	+	0.203525i	−0.678042	−	0.735023i	$-0.737171\pi$
$107$	−10.5840	+	2.10528i	−1.02319	+	0.203525i	−0.345149	+	0.938548i	$0.612171\pi$
$108$	7.76099	−	6.91137i	0.746801	−	0.665047i
$109$	13.0385	−	8.71203i	1.24886	−	0.834461i	0.257582	−	0.966256i	$-0.417074\pi$
$109$	13.0385	−	8.71203i	1.24886	−	0.834461i	0.991277	+	0.131795i	$0.0420742\pi$
$110$	1.56117	−	1.89973i	0.148852	−	0.181132i
$111$	3.50297	−	4.39134i	0.332487	−	0.416808i
$112$	−5.06252	+	5.03573i	−0.478363	+	0.475832i
$113$	−3.65177	−	3.65177i	−0.343529	−	0.343529i	0.514163	−	0.857692i	$-0.328103\pi$
$113$	−3.65177	−	3.65177i	−0.343529	−	0.343529i	−0.857692	+	0.514163i	$0.828103\pi$
$114$	12.4304	−	2.64390i	1.16421	−	0.247624i
$115$	−2.93794	+	1.96307i	−0.273964	+	0.183057i
$116$	12.5996	+	12.6330i	1.16984	+	1.17295i
$117$	1.45395	+	3.25166i	0.134417	+	0.300616i
$118$	−10.3268	+	8.46354i	−0.950660	+	0.779132i
$119$	−6.92711	−	2.86930i	−0.635007	−	0.263029i
$120$	4.30920	−	0.0512705i	0.393375	−	0.00468034i
$121$	6.55336	−	2.71449i	0.595760	−	0.246772i
$122$	−5.10410	−	2.73255i	−0.462104	−	0.247394i
$123$	8.30265	−	16.0659i	0.748625	−	1.44861i
$124$	4.42254	+	2.96354i	0.397155	+	0.266133i
$125$	1.58336	−	7.96009i	0.141620	−	0.711972i
$126$	−0.537769	+	7.55459i	−0.0479083	+	0.673017i
$127$			5.00869i			0.444449i	0.974995	+	0.222225i	$0.0713318\pi$
$127$			5.00869i			0.444449i	−0.974995	+	0.222225i	$0.928668\pi$
$128$	5.37950	−	9.95294i	0.475485	−	0.879724i
$129$	8.50577	−	0.957179i	0.748891	−	0.0842749i
$130$	−0.429707	+	1.41318i	−0.0376878	+	0.123944i
$131$	−17.0232	−	3.38612i	−1.48732	−	0.295847i	−0.616464	−	0.787383i	$-0.711436\pi$
$131$	−17.0232	−	3.38612i	−1.48732	−	0.295847i	−0.870857	+	0.491536i	$0.836436\pi$
$132$	−6.07851	−	3.15152i	−0.529067	−	0.274305i
$133$	−5.14552	+	7.70081i	−0.446173	+	0.667745i
$134$	4.16001	−	7.77043i	0.359370	−	0.671263i
$135$	3.40954	−	3.04441i	0.293446	−	0.262021i
$136$	11.8203	+	1.18794i	1.01358	+	0.101865i
$137$	−5.61514	+	13.5561i	−0.479733	+	1.15818i	0.480001	+	0.877268i	$0.340636\pi$
$137$	−5.61514	+	13.5561i	−0.479733	+	1.15818i	−0.959734	+	0.280911i	$0.909364\pi$
$138$	7.04859	+	6.86460i	0.600016	+	0.584353i
$139$	−14.3788	+	2.86012i	−1.21959	+	0.242592i	−0.762595	−	0.646876i	$-0.776075\pi$
$139$	−14.3788	+	2.86012i	−1.21959	+	0.242592i	−0.456998	+	0.889468i	$0.651075\pi$
$140$	−2.22374	+	2.21785i	−0.187941	+	0.187443i
$141$	−4.48072	+	3.78257i	−0.377345	+	0.318550i
$142$	−13.6676	+	1.33699i	−1.14696	+	0.112198i
$143$	1.65941	−	1.65941i	0.138767	−	0.138767i
$144$	−2.63597	−	11.7069i	−0.219664	−	0.975575i
$145$	5.54913	+	5.54913i	0.460830	+	0.460830i
$146$	4.69331	+	3.85691i	0.388421	+	0.319200i
$147$	4.26052	+	5.04689i	0.351402	+	0.416260i
$148$	−2.47428	−	5.99591i	−0.203384	−	0.492861i
$149$	−0.129066	−	0.648857i	−0.0105735	−	0.0531564i	0.975138	−	0.221597i	$-0.0711269\pi$
$149$	−0.129066	−	0.648857i	−0.0105735	−	0.0531564i	−0.985712	+	0.168440i	$0.946127\pi$
$150$	−10.3511	+	0.136886i	−0.845160	+	0.0111767i
$151$	−22.6443	−	9.37957i	−1.84277	−	0.763299i	−0.949496	−	0.313779i	$-0.898405\pi$
$151$	−22.6443	−	9.37957i	−1.84277	−	0.763299i	−0.893270	−	0.449520i	$-0.851595\pi$
$152$	4.28770	−	14.0341i	0.347778	−	1.13832i
$153$	10.2784	−	7.28867i	0.830963	−	0.589254i
$154$	4.77600	−	1.44533i	0.384861	−	0.116468i
$155$	1.94692	+	1.30089i	0.156381	+	0.104490i
$156$	4.09789	+	0.351697i	0.328093	+	0.0281583i
$157$	4.05454	−	20.3835i	0.323587	−	1.62678i	−0.386234	−	0.922401i	$-0.626224\pi$
$157$	4.05454	−	20.3835i	0.323587	−	1.62678i	0.709821	−	0.704382i	$-0.248776\pi$
$158$	−3.68754	−	6.90991i	−0.293365	−	0.549723i
$159$	2.59684	+	23.0763i	0.205943	+	1.83007i
$160$	2.36030	−	4.38081i	0.186598	−	0.346333i
$161$	−7.17045			−0.565111
$162$	−10.2669	−	7.52263i	−0.806647	−	0.591034i
$163$	5.41447	+	1.07701i	0.424094	+	0.0843576i	0.402523	−	0.915410i	$-0.368133\pi$
$163$	5.41447	+	1.07701i	0.424094	+	0.0843576i	0.0215710	+	0.999767i	$0.493133\pi$
$164$	−11.5784	−	17.3782i	−0.904124	−	1.35701i
$165$	−2.67539	−	1.38261i	−0.208279	−	0.107636i
$166$	−12.7830	+	3.86842i	−0.992151	+	0.300247i
$167$	−2.33305	−	5.63248i	−0.180537	−	0.435854i	0.807541	−	0.589812i	$-0.200798\pi$
$167$	−2.33305	−	5.63248i	−0.180537	−	0.435854i	−0.988077	+	0.153958i	$0.950798\pi$
$168$	7.32880	+	4.77181i	0.565429	+	0.368153i
$169$	4.43542	−	10.7080i	0.341186	−	0.823696i
$170$	5.19968	+	0.515606i	0.398798	+	0.0395452i
$171$	−6.35335	−	14.2089i	−0.485853	−	1.08658i
$172$	3.79440	−	9.12624i	0.289320	−	0.695869i
$173$	6.81742	+	10.2030i	0.518318	+	0.775718i	0.994623	−	0.103562i	$-0.0330240\pi$
$173$	6.81742	+	10.2030i	0.518318	+	0.775718i	−0.476305	+	0.879280i	$0.658024\pi$
$174$	11.8991	−	18.3283i	0.902066	−	1.38947i
$175$	5.33463	−	5.33463i	0.403260	−	0.403260i
$176$	−6.58535	+	4.37497i	−0.496389	+	0.329776i
$177$	12.7837	+	10.1975i	0.960879	+	0.766493i
$178$	−11.8327	+	1.15750i	−0.886899	+	0.0867581i
$179$	8.68204	+	12.9936i	0.648926	+	0.971186i	0.999401	+	0.0346142i	$0.0110202\pi$
$179$	8.68204	+	12.9936i	0.648926	+	0.971186i	−0.350475	+	0.936572i	$0.613980\pi$
$180$	−1.16623	−	5.14759i	−0.0869255	−	0.383679i
$181$	4.53048	+	22.7763i	0.336748	+	1.69295i	0.663775	+	0.747932i	$0.268953\pi$
$181$	4.53048	+	22.7763i	0.336748	+	1.69295i	−0.327027	+	0.945015i	$0.606047\pi$
$182$	−2.31831	+	1.90002i	−0.171845	+	0.140839i
$183$	−1.96390	+	6.81331i	−0.145176	+	0.503654i
$184$	10.8784	−	3.27631i	0.801966	−	0.241533i
$185$	−1.09178	−	2.63578i	−0.0802689	−	0.193786i
$186$	2.41527	−	6.05628i	0.177096	−	0.444068i
$187$	−6.90265	−	4.61220i	−0.504772	−	0.337278i
$188$	1.31215	+	6.64264i	0.0956981	+	0.484464i
$189$	9.18532	−	1.29287i	0.668134	−	0.0940422i
$190$	1.87770	−	6.17522i	0.136223	−	0.447997i
$191$	6.04402			0.437330			0.218665	−	0.975800i	$-0.429830\pi$
$191$	6.04402			0.437330			0.218665	+	0.975800i	$0.429830\pi$
$192$	−13.2990	−	3.89073i	−0.959769	−	0.280789i
$193$	1.88270			0.135520			0.0677599	−	0.997702i	$-0.478415\pi$
$193$	1.88270			0.135520			0.0677599	+	0.997702i	$0.478415\pi$
$194$	1.17239	−	3.85566i	0.0841730	−	0.276820i
$195$	1.80261	+	0.152299i	0.129087	+	0.0109064i
$196$	7.48197	−	1.47794i	0.534426	−	0.105567i
$197$	−4.33698	−	2.89788i	−0.308997	−	0.206465i	0.391396	−	0.920222i	$-0.371992\pi$
$197$	−4.33698	−	2.89788i	−0.308997	−	0.206465i	−0.700393	+	0.713757i	$0.746992\pi$
$198$	−2.21583	+	8.08769i	−0.157472	+	0.574767i
$199$	−4.67695	−	11.2912i	−0.331540	−	0.800409i	−0.998470	−	0.0552885i	$-0.982392\pi$
$199$	−4.67695	−	11.2912i	−0.331540	−	0.800409i	0.666930	−	0.745120i	$-0.267608\pi$
$200$	−5.65576	+	10.5307i	−0.399923	+	0.744636i
$201$	−10.3725	−	2.98982i	−0.731620	−	0.210886i
$202$	6.39950	−	5.24484i	0.450267	−	0.369026i
$203$	3.10689	+	15.6194i	0.218061	+	1.09627i
$204$	−1.60788	−	14.4606i	−0.112574	−	1.01245i
$205$	−5.10276	−	7.63683i	−0.356393	−	0.533379i
$206$	22.0449	−	2.15648i	1.53594	−	0.150249i
$207$	6.41393	−	10.2014i	0.445799	−	0.709049i
$208$	2.64899	−	3.94182i	0.183675	−	0.273316i
$209$	−7.25116	+	7.25116i	−0.501573	+	0.501573i
$210$	3.22626	+	2.09455i	0.222633	+	0.144537i
$211$	−1.47845	−	2.21265i	−0.101780	−	0.152325i	0.777084	−	0.629397i	$-0.216698\pi$
$211$	−1.47845	−	2.21265i	−0.101780	−	0.152325i	−0.878864	+	0.477072i	$0.841698\pi$
$212$	24.7596	+	10.2943i	1.70050	+	0.707014i
$213$	5.10538	+	16.0256i	0.349815	+	1.09806i
$214$	15.1868	+	1.50593i	1.03814	+	0.102943i
$215$	1.66359	−	4.01627i	0.113456	−	0.273908i
$216$	−13.3445	+	6.15837i	−0.907975	+	0.419024i
$217$	1.81841	+	4.39004i	0.123442	+	0.298015i
$218$	−21.2260	+	6.42346i	−1.43760	+	0.435052i
$219$	3.41576	−	6.60961i	0.230816	−	0.446636i
$220$	−2.89393	+	1.92811i	−0.195109	+	0.129993i
$221$	4.89104	+	0.972888i	0.329007	+	0.0654435i
$222$	−6.54638	+	4.50049i	−0.439364	+	0.302053i
$223$	11.7244			0.785121			0.392561	−	0.919726i	$-0.371589\pi$
$223$	11.7244			0.785121			0.392561	+	0.919726i	$0.371589\pi$
$224$	8.92162	−	4.73074i	0.596101	−	0.316086i
$225$	2.81782	+	12.3614i	0.187854	+	0.824095i
$226$	3.43859	+	6.44342i	0.228732	+	0.428610i
$227$	−3.84811	+	19.3458i	−0.255408	+	1.28402i	0.613754	+	0.789497i	$0.289659\pi$
$227$	−3.84811	+	19.3458i	−0.255408	+	1.28402i	−0.869162	+	0.494527i	$0.835341\pi$
$228$	−17.9067	−	1.53682i	−1.18590	−	0.101779i
$229$	14.0022	+	9.35598i	0.925292	+	0.618260i	0.924270	−	0.381739i	$-0.124675\pi$
$229$	14.0022	+	9.35598i	0.925292	+	0.618260i	0.00102184	+	0.999999i	$0.499675\pi$
$230$	4.78281	−	1.44739i	0.315369	−	0.0954379i
$231$	−2.95544	−	5.34922i	−0.194454	−	0.351953i
$232$	−11.8503	−	22.2768i	−0.778010	−	1.46255i
$233$	−17.8878	−	7.40939i	−1.17187	−	0.485405i	−0.290061	−	0.957008i	$-0.593675\pi$
$233$	−17.8878	−	7.40939i	−1.17187	−	0.485405i	−0.881811	+	0.471603i	$0.843675\pi$
$234$	−0.629450	−	4.99783i	−0.0411485	−	0.326719i
$235$	0.581006	+	2.92091i	0.0379006	+	0.190539i
$236$	17.4547	−	7.20288i	1.13621	−	0.468867i
$237$	−7.32993	+	6.18784i	−0.476130	+	0.401943i
$238$	8.19220	+	6.73226i	0.531022	+	0.436388i
$239$	−21.3101	−	21.3101i	−1.37844	−	1.37844i	−0.847265	−	0.531171i	$-0.821752\pi$
$239$	−21.3101	−	21.3101i	−1.37844	−	1.37844i	−0.531171	−	0.847265i	$-0.678248\pi$
$240$	−5.85164	−	1.70353i	−0.377722	−	0.109962i
$241$	−13.2100	+	13.2100i	−0.850928	+	0.850928i	−0.990248	−	0.139319i	$-0.955509\pi$
$241$	−13.2100	+	13.2100i	−0.850928	+	0.850928i	0.139319	+	0.990248i	$0.455509\pi$
$242$	−9.98379	+	0.976633i	−0.641782	+	0.0627804i
$243$	−6.37685	+	14.2245i	−0.409075	+	0.912501i
$244$	5.78185	+	5.79721i	0.370145	+	0.371128i
$245$	3.28999	−	0.654419i	0.210189	−	0.0418093i
$246$	−17.8437	+	18.3220i	−1.13767	+	1.16817i
$247$	2.35733	−	5.69109i	0.149993	−	0.362116i
$248$	−4.76463	−	5.82933i	−0.302554	−	0.370163i
$249$	7.91024	+	14.3172i	0.501291	+	0.907314i
$250$	−5.41731	+	10.1189i	−0.342621	+	0.639977i
$251$	−7.74513	+	11.5914i	−0.488868	+	0.731643i	−0.991104	−	0.133088i	$-0.957511\pi$
$251$	−7.74513	+	11.5914i	−0.488868	+	0.731643i	0.502236	+	0.864731i	$0.332511\pi$
$252$	3.83575	−	10.0005i	0.241630	−	0.629970i
$253$	−7.78669	−	1.54887i	−0.489545	−	0.0973765i
$254$	2.06068	−	6.77699i	0.129299	−	0.425226i
$255$	−0.715639	−	6.35938i	−0.0448151	−	0.398240i
$256$	−11.3736	+	11.2535i	−0.710848	+	0.703346i
$257$		−	12.2036i		−	0.761242i	−0.924731	−	0.380621i	$-0.875710\pi$
$257$		−	12.2036i		−	0.761242i	0.924731	−	0.380621i	$-0.124290\pi$
$258$	−11.9025	−	2.20435i	−0.741017	−	0.137237i
$259$	1.12948	−	5.67829i	0.0701827	−	0.352832i
$260$	1.16283	−	1.73531i	0.0721154	−	0.107619i
$261$	−25.0009	−	9.55127i	−1.54752	−	0.591209i
$262$	21.6400	+	11.5853i	1.33692	+	0.715741i
$263$	17.5876	−	7.28501i	1.08450	−	0.449213i	0.232412	−	0.972617i	$-0.425338\pi$
$263$	17.5876	−	7.28501i	1.08450	−	0.449213i	0.852084	+	0.523404i	$0.175338\pi$
$264$	6.92790	+	6.76498i	0.426383	+	0.416356i
$265$	10.8962	+	4.51336i	0.669349	+	0.277254i
$266$	10.1304	−	8.30257i	0.621135	−	0.509063i
$267$	4.41999	+	13.8742i	0.270499	+	0.849086i
$268$	−8.82560	+	8.80223i	−0.539110	+	0.537681i
$269$	−17.2261	+	11.5101i	−1.05030	+	0.701786i	−0.955883	−	0.293748i	$-0.905097\pi$
$269$	−17.2261	+	11.5101i	−1.05030	+	0.701786i	−0.0944132	+	0.995533i	$0.530097\pi$
$270$	−5.86580	+	2.71646i	−0.356981	+	0.165319i
$271$	11.2337	+	11.2337i	0.682398	+	0.682398i	0.960540	−	0.278142i	$-0.0897185\pi$
$271$	11.2337	+	11.2337i	0.682398	+	0.682398i	−0.278142	+	0.960540i	$0.589719\pi$
$272$	−15.5046	−	6.47045i	−0.940105	−	0.392329i
$273$	2.86986	+	2.28929i	0.173692	+	0.138554i
$274$	13.1748	−	16.0319i	0.795920	−	0.968521i
$275$	6.94542	−	4.64078i	0.418825	−	0.279850i
$276$	−6.71282	−	12.1881i	−0.404064	−	0.733635i
$277$	−4.73459	+	0.941769i	−0.284474	+	0.0565854i	−0.335265	−	0.942124i	$-0.608826\pi$
$277$	−4.73459	+	0.941769i	−0.284474	+	0.0565854i	0.0507908	+	0.998709i	$0.483826\pi$
$278$	20.6319	+	2.04588i	1.23742	+	0.122704i
$279$	−7.87229	−	1.33980i	−0.471302	−	0.0802115i
$280$	3.92130	−	2.08596i	0.234343	−	0.124660i
$281$	16.5631	−	6.86065i	0.988070	−	0.409272i	0.170661	−	0.985330i	$-0.445410\pi$
$281$	16.5631	−	6.86065i	0.988070	−	0.409272i	0.817409	+	0.576058i	$0.195410\pi$
$282$	7.61886	−	3.27453i	0.453696	−	0.194995i
$283$	−10.5394	+	15.7733i	−0.626502	+	0.937626i	0.373448	+	0.927651i	$0.378175\pi$
$283$	−10.5394	+	15.7733i	−0.626502	+	0.937626i	−0.999950	+	0.00997536i	$0.996825\pi$
$284$	19.0429	+	3.81413i	1.12999	+	0.226327i
$285$	−7.87691	−	0.665506i	−0.466588	−	0.0394212i
$286$	−2.92797	+	1.56254i	−0.173134	+	0.0923947i
$287$		−	18.6387i		−	1.10021i
$288$	−1.24989	+	16.9245i	−0.0736502	+	0.997284i
$289$		−	0.641229i		−	0.0377193i
$290$	−5.22520	−	9.79127i	−0.306834	−	0.574963i
$291$	−4.91816	−	0.415526i	−0.288307	−	0.0243586i
$292$	−4.76344	−	7.14951i	−0.278759	−	0.418393i
$293$	1.04807	−	1.56854i	0.0612286	−	0.0916351i	−0.799592	−	0.600544i	$-0.794951\pi$
$293$	1.04807	−	1.56854i	0.0612286	−	0.0916351i	0.860821	+	0.508909i	$0.169951\pi$
$294$	−3.68828	−	8.58154i	−0.215105	−	0.500486i
$295$	7.67304	−	3.17828i	0.446741	−	0.185046i
$296$	0.880959	+	9.13071i	0.0512047	+	0.530712i
$297$	10.2540	+	0.580119i	0.594997	+	0.0336619i
$298$	−0.0923222	+	0.931033i	−0.00534808	+	0.0539333i
$299$	4.67747	−	0.930406i	0.270505	−	0.0538068i
$300$	14.0618	+	4.07344i	0.811857	+	0.235180i
$301$	7.33507	−	4.90114i	0.422787	−	0.282497i
$302$	26.7798	+	22.0073i	1.54100	+	1.26638i
$303$	−7.92201	−	6.31939i	−0.455108	−	0.363039i
$304$	−11.5754	+	17.2247i	−0.663894	+	0.987905i
$305$	2.54646	+	2.54646i	0.145810	+	0.145810i
$306$	−16.9059	+	5.63313i	−0.966447	+	0.322024i
$307$	18.7859	−	12.5523i	1.07217	−	0.716398i	0.111405	−	0.993775i	$-0.464465\pi$
$307$	18.7859	−	12.5523i	1.07217	−	0.716398i	0.960761	+	0.277377i	$0.0894650\pi$
$308$	−7.05679	−	0.00935891i	−0.402098	−	0.000533274i
$309$	−8.23465	−	25.8483i	−0.468453	−	1.47046i
$310$	−2.09906	−	2.56117i	−0.119219	−	0.145465i
$311$	−22.2263	−	9.20645i	−1.26034	−	0.522050i	−0.350326	−	0.936628i	$-0.613929\pi$
$311$	−22.2263	−	9.20645i	−1.26034	−	0.522050i	−0.910014	+	0.414578i	$0.863929\pi$
$312$	−5.39993	−	2.16182i	−0.305711	−	0.122389i
$313$	−0.620600	+	0.257061i	−0.0350784	+	0.0145300i	−0.400154	−	0.916448i	$-0.631043\pi$
$313$	−0.620600	+	0.257061i	−0.0350784	+	0.0145300i	0.365075	+	0.930978i	$0.381043\pi$
$314$	−13.8722	+	25.9117i	−0.782853	+	1.46228i
$315$	1.68127	−	4.40081i	0.0947290	−	0.247958i
$316$	2.14652	+	10.8666i	0.120751	+	0.611292i
$317$	4.99544	−	25.1138i	0.280572	−	1.41053i	−0.541287	−	0.840838i	$-0.682063\pi$
$317$	4.99544	−	25.1138i	0.280572	−	1.41053i	0.821858	−	0.569692i	$-0.192937\pi$
$318$	5.98045	−	32.2917i	0.335367	−	1.81083i
$319$			17.6329i			0.987251i
$320$	−4.99595	+	4.95636i	−0.279282	+	0.277069i
$321$	−2.09017	−	18.5739i	−0.116662	−	1.03669i
$322$	9.70195	+	2.95008i	0.540668	+	0.164402i
$323$	−21.3725	−	4.25126i	−1.18920	−	0.236546i
$324$	10.7967	+	14.4025i	0.599814	+	0.800139i
$325$	−2.78772	+	4.17212i	−0.154635	+	0.231427i
$326$	−6.88293	−	3.68487i	−0.381210	−	0.204086i
$327$	13.1349	+	23.7735i	0.726359	+	1.31468i
$328$	8.51638	+	28.2771i	0.470238	+	1.56134i
$329$	−2.31278	+	5.58355i	−0.127508	+	0.307831i
$330$	3.05109	+	2.97145i	0.167957	+	0.163573i
$331$	5.77655	−	1.14903i	0.317508	−	0.0631563i	−0.0337636	−	0.999430i	$-0.510749\pi$
$331$	5.77655	−	1.14903i	0.317508	−	0.0631563i	0.351272	+	0.936274i	$0.385749\pi$
$332$	18.8875	+	0.0250491i	1.03659	+	0.00137475i
$333$	7.06823	+	6.68613i	0.387337	+	0.366397i
$334$	0.839396	+	8.58086i	0.0459297	+	0.469524i
$335$	−3.87669	+	3.87669i	−0.211806	+	0.211806i
$336$	−7.95297	−	9.47171i	−0.433870	−	0.516724i
$337$	−22.1894	−	22.1894i	−1.20873	−	1.20873i	−0.971438	−	0.237295i	$-0.923739\pi$
$337$	−22.1894	−	22.1894i	−1.20873	−	1.20873i	−0.237295	−	0.971438i	$-0.576261\pi$
$338$	−10.4068	+	12.6636i	−0.566058	+	0.688811i
$339$	6.83508	−	5.77009i	0.371231	−	0.313388i
$340$	−6.82328	−	2.83690i	−0.370044	−	0.153853i
$341$	1.02641	+	5.16011i	0.0555832	+	0.279436i
$342$	2.75053	+	21.8392i	0.148732	+	1.18093i
$343$	17.8338	+	7.38702i	0.962937	+	0.398862i
$344$	−8.88873	+	10.7871i	−0.479248	+	0.581603i
$345$	−2.95966	−	5.35684i	−0.159343	−	0.288403i
$346$	−5.02654	−	16.6099i	−0.270229	−	0.892956i
$347$	−3.29006	−	2.19835i	−0.176620	−	0.118014i	0.464118	−	0.885773i	$-0.346371\pi$
$347$	−3.29006	−	2.19835i	−0.176620	−	0.118014i	−0.640738	+	0.767760i	$0.721371\pi$
$348$	−23.6407	+	19.9035i	−1.26727	+	1.06694i
$349$	−0.572654	+	2.87892i	−0.0306534	+	0.154105i	−0.993081	−	0.117435i	$-0.962533\pi$
$349$	−0.572654	+	2.87892i	−0.0306534	+	0.154105i	0.962427	+	0.271540i	$0.0875329\pi$
$350$	−9.41279	+	5.02322i	−0.503135	+	0.268502i
$351$	−5.82406	+	2.03522i	−0.310865	+	0.108632i
$352$	10.7102	−	3.21017i	0.570857	−	0.171103i
$353$	17.1877			0.914807			0.457404	−	0.889259i	$-0.348779\pi$
$353$	17.1877			0.914807			0.457404	+	0.889259i	$0.348779\pi$
$354$	−13.1014	−	19.0572i	−0.696331	−	1.01288i
$355$	8.37800	+	1.66649i	0.444658	+	0.0884480i
$356$	16.4864	+	3.30209i	0.873778	+	0.175010i
$357$	5.96224	−	11.5371i	0.315555	−	0.610609i
$358$	−6.40135	−	21.1529i	−0.338322	−	1.11797i
$359$	−0.573946	−	1.38563i	−0.0302917	−	0.0731307i	0.908010	−	0.418949i	$-0.137601\pi$
$359$	−0.573946	−	1.38563i	−0.0302917	−	0.0731307i	−0.938302	+	0.345818i	$0.887601\pi$
$360$	−0.539874	+	7.44474i	−0.0284538	+	0.392372i
$361$	−3.02990	+	7.31483i	−0.159468	+	0.384991i
$362$	3.24071	−	32.6813i	0.170328	−	1.71769i
$363$	3.72934	+	11.7063i	0.195740	+	0.614420i
$364$	3.91849	−	1.61701i	0.205385	−	0.0847542i
$365$	−2.09931	−	3.14184i	−0.109883	−	0.164451i
$366$	5.46039	−	8.41073i	0.285419	−	0.439636i
$367$	−0.597848	+	0.597848i	−0.0312074	+	0.0312074i	−0.722538	−	0.691331i	$-0.757025\pi$
$367$	−0.597848	+	0.597848i	−0.0312074	+	0.0312074i	0.691331	+	0.722538i	$0.257025\pi$
$368$	−16.0669	−	0.0426169i	−0.837546	−	0.00222156i
$369$	26.5175	+	16.6723i	1.38044	+	0.867923i
$370$	0.392805	+	4.01551i	0.0204209	+	0.208756i
$371$	13.2969	+	19.9002i	0.690339	+	1.03317i
$372$	−5.75966	+	7.20072i	−0.298624	+	0.373340i
$373$	−0.819626	−	4.12054i	−0.0424386	−	0.213353i	0.953747	−	0.300610i	$-0.0971901\pi$
$373$	−0.819626	−	4.12054i	−0.0424386	−	0.213353i	−0.996186	+	0.0872563i	$0.972190\pi$
$374$	7.44204	+	9.08042i	0.384819	+	0.469537i
$375$	13.5074	+	3.89345i	0.697521	+	0.201057i
$376$	0.957531	−	9.52763i	0.0493809	−	0.491350i
$377$	−4.05341	−	9.78579i	−0.208761	−	0.503994i
$378$	−12.9601	−	2.02974i	−0.666594	−	0.104398i
$379$	15.5395	+	10.3832i	0.798210	+	0.533347i	0.886489	−	0.462749i	$-0.153137\pi$
$379$	15.5395	+	10.3832i	0.798210	+	0.533347i	−0.0882793	+	0.996096i	$0.528137\pi$
$380$	−5.08124	+	7.58282i	−0.260662	+	0.388990i
$381$	−8.64451	−	0.730359i	−0.442871	−	0.0374174i
$382$	−8.17783	−	2.48664i	−0.418414	−	0.127228i
$383$	33.7000			1.72199			0.860995	−	0.508614i	$-0.169842\pi$
$383$	33.7000			1.72199			0.860995	+	0.508614i	$0.169842\pi$
$384$	16.3934	+	10.7358i	0.836570	+	0.547860i
$385$	−3.10384			−0.158186
$386$	−2.54738	−	0.774585i	−0.129658	−	0.0394253i
$387$	0.411699	+	14.8197i	0.0209278	+	0.753328i
$388$	−3.17260	+	4.73453i	−0.161065	+	0.240359i
$389$	−8.49069	−	5.67330i	−0.430495	−	0.287648i	0.321384	−	0.946949i	$-0.395852\pi$
$389$	−8.49069	−	5.67330i	−0.430495	−	0.287648i	−0.751879	+	0.659301i	$0.770852\pi$
$390$	−2.37635	−	0.947700i	−0.120331	−	0.0479886i
$391$	−6.45622	−	15.5867i	−0.326505	−	0.788252i
$392$	−10.7315	−	1.07852i	−0.542023	−	0.0544735i
$393$	8.32640	−	28.8866i	0.420011	−	1.45713i
$394$	4.67588	+	5.70529i	0.235567	+	0.287428i
$395$	0.950456	+	4.77827i	0.0478226	+	0.240421i
$396$	6.32557	−	10.0314i	0.317872	−	0.504095i
$397$	−8.55063	−	12.7969i	−0.429144	−	0.642259i	0.552381	−	0.833592i	$-0.313719\pi$
$397$	−8.55063	−	12.7969i	−0.429144	−	0.642259i	−0.981525	+	0.191332i	$0.938719\pi$
$398$	1.68270	+	17.2016i	0.0843460	+	0.862240i
$399$	−12.5405	−	10.0036i	−0.627812	−	0.500805i
$400$	11.9851	−	11.9217i	0.599254	−	0.596084i
$401$	−11.2667	+	11.2667i	−0.562633	+	0.562633i	−0.930054	−	0.367422i	$-0.880241\pi$
$401$	−11.2667	+	11.2667i	−0.562633	+	0.562633i	0.367422	+	0.930054i	$0.380241\pi$
$402$	12.8044	+	8.31284i	0.638625	+	0.414607i
$403$	−1.75583	−	2.62778i	−0.0874641	−	0.130899i
$404$	−10.8167	+	4.46361i	−0.538149	+	0.222073i
$405$	4.75717	+	6.32846i	0.236386	+	0.314464i
$406$	2.22240	−	22.4120i	0.110296	−	1.11229i
$407$	2.45310	−	5.92232i	0.121596	−	0.293558i
$408$	−3.77388	+	20.2274i	−0.186835	+	1.00141i
$409$	0.575698	+	1.38986i	0.0284664	+	0.0687240i	0.937474	−	0.348057i	$-0.113158\pi$
$409$	0.575698	+	1.38986i	0.0284664	+	0.0687240i	−0.909007	+	0.416781i	$0.863158\pi$
$410$	3.76231	+	12.4324i	0.185807	+	0.613991i
$411$	−22.5778	−	11.6679i	−1.11368	−	0.575535i
$412$	−30.7150	−	6.15195i	−1.51322	−	0.303085i
$413$	16.5301	+	3.28805i	0.813394	+	0.161794i
$414$	−12.8754	+	11.1642i	−0.632793	+	0.548690i
$415$	8.30743			0.407796
$416$	−5.20596	+	4.24361i	−0.255243	+	0.208060i
$417$	−2.83959	−	25.2334i	−0.139055	−	1.23569i
$418$	12.7944	−	6.82786i	0.625796	−	0.333962i
$419$	3.58654	−	18.0308i	0.175214	−	0.880860i	−0.788727	−	0.614744i	$-0.789259\pi$
$419$	3.58654	−	18.0308i	0.175214	−	0.880860i	0.963941	−	0.266116i	$-0.0857405\pi$
$420$	−3.50354	−	4.16137i	−0.170955	−	0.203054i
$421$	−19.2955	−	12.8928i	−0.940404	−	0.628358i	−0.0119989	−	0.999928i	$-0.503819\pi$
$421$	−19.2955	−	12.8928i	−0.940404	−	0.628358i	−0.928405	+	0.371570i	$0.878819\pi$
$422$	1.09007	+	3.60208i	0.0530639	+	0.175347i
$423$	−5.87498	−	8.28486i	−0.285651	−	0.402824i
$424$	−29.2656	−	24.1153i	−1.42126	−	1.17114i
$425$	16.3994	+	6.79284i	0.795486	+	0.329501i
$426$	−0.314526	−	23.7838i	−0.0152388	−	1.15233i
$427$	1.42573	+	7.16762i	0.0689959	+	0.346866i
$428$	−19.9288	−	8.28576i	−0.963294	−	0.400507i
$429$	2.62200	+	3.10594i	0.126591	+	0.149956i
$430$	−3.90330	+	4.74976i	−0.188234	+	0.229054i
$431$	−14.3376	−	14.3376i	−0.690617	−	0.690617i	0.271751	−	0.962368i	$-0.412397\pi$
$431$	−14.3376	−	14.3376i	−0.690617	−	0.690617i	−0.962368	+	0.271751i	$0.912397\pi$
$432$	20.5893	−	2.84235i	0.990605	−	0.136753i
$433$	0.421381	−	0.421381i	0.0202503	−	0.0202503i	−0.696909	−	0.717159i	$-0.745442\pi$
$433$	0.421381	−	0.421381i	0.0202503	−	0.0202503i	0.717159	+	0.696909i	$0.245442\pi$
$434$	−0.654238	−	6.68805i	−0.0314044	−	0.321037i
$435$	−10.3864	+	8.76809i	−0.497991	+	0.420398i
$436$	31.3624	+	0.0415938i	1.50199	+	0.00199198i
$437$	−20.4393	+	4.06562i	−0.977743	+	0.194485i
$438$	−7.34102	+	7.53778i	−0.350768	+	0.360169i
$439$	−1.36422	+	3.29352i	−0.0651108	+	0.157191i	−0.953086	−	0.302701i	$-0.902112\pi$
$439$	−1.36422	+	3.29352i	−0.0651108	+	0.157191i	0.887975	+	0.459892i	$0.152112\pi$
$440$	4.70889	−	1.41820i	0.224487	−	0.0676101i
$441$	−9.33170	+	6.61731i	−0.444367	+	0.315110i
$442$	−6.21753	−	3.32864i	−0.295738	−	0.158327i
$443$	−2.11097	+	3.15928i	−0.100295	+	0.150102i	−0.878223	−	0.478251i	$-0.841271\pi$
$443$	−2.11097	+	3.15928i	−0.100295	+	0.150102i	0.777928	+	0.628353i	$0.216271\pi$
$444$	10.7091	−	3.39604i	0.508233	−	0.161169i
$445$	7.25326	+	1.44276i	0.343838	+	0.0683935i
$446$	−15.8636	−	4.82366i	−0.751163	−	0.228407i
$447$	1.13868	−	0.128139i	0.0538579	−	0.00606078i
$448$	−14.0177	+	2.73036i	−0.662274	+	0.128997i
$449$		−	31.0572i		−	1.46568i	−0.680401	−	0.732840i	$-0.738194\pi$
$449$		−	31.0572i		−	1.46568i	0.680401	−	0.732840i	$-0.261806\pi$
$450$	1.27312	−	17.8849i	0.0600156	−	0.843101i
$451$	4.02610	−	20.2406i	0.189582	−	0.953092i
$452$	−2.00160	−	10.1330i	−0.0941475	−	0.476614i
$453$	19.4902	−	37.7141i	0.915728	−	1.77196i
$454$	13.1659	−	24.5925i	0.617908	−	1.15418i
$455$	1.72255	−	0.713505i	0.0807546	−	0.0334496i
$456$	23.5962	+	9.44658i	1.10500	+	0.442377i
$457$	0.554573	+	0.229712i	0.0259419	+	0.0107455i	0.395617	−	0.918416i	$-0.370531\pi$
$457$	0.554573	+	0.229712i	0.0259419	+	0.0107455i	−0.369675	+	0.929161i	$0.620531\pi$
$458$	−15.0964	−	18.4199i	−0.705407	−	0.860704i
$459$	11.0807	+	18.8024i	0.517205	+	0.877621i
$460$	−7.06685	−	0.00937226i	−0.329494	−	0.000436984i
$461$	−25.4530	+	17.0072i	−1.18547	+	0.792103i	−0.982350	−	0.187052i	$-0.940107\pi$
$461$	−25.4530	+	17.0072i	−1.18547	+	0.792103i	−0.203116	+	0.979155i	$0.565107\pi$
$462$	1.79806	+	8.45367i	0.0836534	+	0.393300i
$463$	−5.70209	−	5.70209i	−0.264999	−	0.264999i	0.562083	−	0.827081i	$-0.310000\pi$
$463$	−5.70209	−	5.70209i	−0.264999	−	0.264999i	−0.827081	+	0.562083i	$0.810000\pi$
$464$	6.86882	+	35.0170i	0.318877	+	1.62563i
$465$	−2.52911	+	3.17051i	−0.117285	+	0.147029i
$466$	21.1547	+	17.3847i	0.979971	+	0.805330i
$467$	−5.75749	+	3.84703i	−0.266425	+	0.178019i	−0.681606	−	0.731719i	$-0.738718\pi$
$467$	−5.75749	+	3.84703i	−0.266425	+	0.178019i	0.415181	+	0.909739i	$0.363718\pi$
$468$	−1.20454	+	7.02126i	−0.0556800	+	0.324558i
$469$	−10.9119	+	2.17051i	−0.503865	+	0.100225i
$470$	0.415600	−	4.19117i	0.0191702	−	0.193324i
$471$	34.5887	+	9.97002i	1.59376	+	0.459394i
$472$	−26.5805	+	2.56457i	−1.22346	+	0.118044i
$473$	9.02414	−	3.73792i	0.414931	−	0.171870i
$474$	12.4635	−	5.35673i	0.572470	−	0.246043i
$475$	12.1816	−	18.2310i	0.558929	−	0.836497i
$476$	−8.31462	−	12.4795i	−0.381100	−	0.571997i
$477$	−40.2061	+	1.11695i	−1.84091	+	0.0511415i
$478$	20.0661	+	37.6010i	0.917802	+	1.71983i
$479$			17.0790i			0.780358i	0.920739	+	0.390179i	$0.127587\pi$
$479$			17.0790i			0.780358i	−0.920739	+	0.390179i	$0.872413\pi$
$480$	7.21667	+	4.71245i	0.329394	+	0.215093i
$481$			3.85065i			0.175575i
$482$	23.3085	−	12.4388i	1.06167	−	0.566572i
$483$	1.04558	−	12.3755i	0.0475757	−	0.563104i
$484$	13.9103	+	2.78612i	0.632288	+	0.126642i
$485$	−1.39267	+	2.08427i	−0.0632378	+	0.0946420i
$486$	14.4804	−	16.6228i	0.656846	−	0.754025i
$487$	15.8723	−	6.57454i	0.719245	−	0.297921i	0.00712078	−	0.999975i	$-0.497733\pi$
$487$	15.8723	−	6.57454i	0.719245	−	0.297921i	0.712124	+	0.702054i	$0.247733\pi$
$488$	−5.43801	−	10.2227i	−0.246167	−	0.462758i
$489$	−2.64834	+	9.18780i	−0.119762	+	0.415487i
$490$	−4.72074	−	0.468114i	−0.213261	−	0.0211472i
$491$	12.4835	−	2.48313i	0.563374	−	0.112062i	0.0948158	−	0.995495i	$-0.469774\pi$
$491$	12.4835	−	2.48313i	0.563374	−	0.112062i	0.468558	+	0.883433i	$0.344774\pi$
$492$	31.6814	−	17.4492i	1.42831	−	0.786670i
$493$	−31.1551	+	20.8172i	−1.40315	+	0.937557i
$494$	−5.53101	+	6.73045i	−0.248852	+	0.302817i
$495$	2.77637	−	4.41586i	0.124789	−	0.198478i
$496$	4.04845	+	9.84761i	0.181781	+	0.442171i
$497$	12.2575	+	12.2575i	0.549824	+	0.549824i
$498$	−4.81251	−	22.6262i	−0.215654	−	1.01391i
$499$	−4.47018	+	2.98688i	−0.200113	+	0.133711i	−0.651589	−	0.758572i	$-0.725897\pi$
$499$	−4.47018	+	2.98688i	−0.200113	+	0.133711i	0.451477	+	0.892283i	$0.350897\pi$
$500$	11.4930	−	11.4626i	0.513983	−	0.512622i
$501$	10.0613	−	3.20529i	0.449506	−	0.143202i
$502$	15.2485	−	12.4972i	0.680572	−	0.557776i
$503$	−11.5844	−	4.79840i	−0.516521	−	0.213950i	0.109167	−	0.994023i	$-0.465182\pi$
$503$	−11.5844	−	4.79840i	−0.516521	−	0.213950i	−0.625688	+	0.780073i	$0.715182\pi$
$504$	−9.30435	+	11.9530i	−0.414449	+	0.532427i
$505$	−4.75496	+	1.96957i	−0.211593	+	0.0876448i
$506$	9.89851	+	5.29930i	0.440042	+	0.235583i
$507$	17.8343	+	9.21652i	0.792048	+	0.409320i
$508$	−5.57640	+	8.32176i	−0.247413	+	0.369218i
$509$	2.59149	−	13.0283i	0.114866	−	0.577469i	−0.879889	−	0.475179i	$-0.842383\pi$
$509$	2.59149	−	13.0283i	0.114866	−	0.577469i	0.994755	−	0.102290i	$-0.0326169\pi$
$510$	−1.64809	+	8.89896i	−0.0729789	+	0.394053i
$511$		−	7.66810i		−	0.339217i
$512$	20.0189	−	10.5472i	0.884719	−	0.466125i
$513$	25.4496	−	8.89335i	1.12363	−	0.392651i
$514$	−5.02084	+	16.5121i	−0.221460	+	0.728316i
$515$	−13.5132	−	2.68794i	−0.595462	−	0.118445i
$516$	15.1977	+	7.87954i	0.669042	+	0.346877i
$517$	−3.71763	+	5.56383i	−0.163501	+	0.244697i
$518$	−3.86442	+	7.21830i	−0.169793	+	0.317154i
$519$	−18.6035	+	10.2784i	−0.816601	+	0.451172i
$520$	−2.28730	+	1.86954i	−0.100305	+	0.0819846i
$521$	−7.83170	+	18.9074i	−0.343113	+	0.828348i	0.654284	+	0.756249i	$0.272970\pi$
$521$	−7.83170	+	18.9074i	−0.343113	+	0.828348i	−0.997397	+	0.0720996i	$0.977030\pi$
$522$	29.8978	+	23.2092i	1.30859	+	1.01584i
$523$	−6.97752	+	1.38791i	−0.305105	+	0.0606893i	−0.345269	−	0.938504i	$-0.612212\pi$
$523$	−6.97752	+	1.38791i	−0.305105	+	0.0606893i	0.0401632	+	0.999193i	$0.487212\pi$
$524$	−24.5135	−	24.5786i	−1.07088	−	1.07372i
$525$	8.42917	+	9.98494i	0.367879	+	0.435779i
$526$	−26.7940	+	2.62104i	−1.16827	+	0.114283i
$527$	−7.90551	+	7.90551i	−0.344369	+	0.344369i
$528$	−6.59050	−	12.0036i	−0.286815	−	0.522390i
$529$	4.85484	+	4.85484i	0.211080	+	0.211080i
$530$	−12.8862	−	10.5897i	−0.559740	−	0.459988i
$531$	−19.4640	+	20.5764i	−0.844667	+	0.892938i
$532$	−17.1227	+	7.06588i	−0.742365	+	0.306345i
$533$	2.41848	+	12.1585i	0.104756	+	0.526644i
$534$	−0.272301	−	20.5909i	−0.0117836	−	0.891054i
$535$	−8.77026	−	3.63276i	−0.379171	−	0.157058i
$536$	15.5629	−	8.27876i	0.672214	−	0.357588i
$537$	−23.6917	+	13.0896i	−1.02237	+	0.564860i
$538$	28.0433	−	8.48653i	1.20903	−	0.365880i
$539$	6.26685	+	4.18737i	0.269932	+	0.180363i
$540$	9.05430	−	1.26218i	0.389635	−	0.0543156i
$541$	−3.47342	+	17.4621i	−0.149334	+	0.750753i	0.831441	+	0.555613i	$0.187516\pi$
$541$	−3.47342	+	17.4621i	−0.149334	+	0.750753i	−0.980775	+	0.195140i	$0.937484\pi$
$542$	−10.5779	−	19.8215i	−0.454360	−	0.851405i
$543$	−39.9702	+	4.49797i	−1.71529	+	0.193026i
$544$	18.3164	+	15.1338i	0.785307	+	0.648854i
$545$	13.7944			0.590887
$546$	−2.94119	−	4.27824i	−0.125871	−	0.183092i
$547$	2.91657	+	0.580142i	0.124704	+	0.0248051i	0.257047	−	0.966399i	$-0.417250\pi$
$547$	2.91657	+	0.580142i	0.124704	+	0.0248051i	−0.132344	+	0.991204i	$0.542250\pi$
$548$	−24.4220	+	16.2715i	−1.04326	+	0.695082i
$549$	−11.4727	−	4.38301i	−0.489644	−	0.187062i
$550$	−11.3068	+	3.42169i	−0.482123	+	0.145901i
$551$	17.7123	+	42.7613i	0.754570	+	1.82169i
$552$	4.06831	+	19.2528i	0.173159	+	0.819453i
$553$	−3.78343	+	9.13402i	−0.160888	+	0.388418i
$554$	6.79358	+	0.673658i	0.288632	+	0.0286210i
$555$	4.70830	−	1.49995i	0.199856	−	0.0636694i
$556$	−27.0741	−	11.2566i	−1.14820	−	0.477385i
$557$	5.14626	+	7.70192i	0.218054	+	0.326341i	0.924329	−	0.381597i	$-0.124626\pi$
$557$	5.14626	+	7.70192i	0.218054	+	0.326341i	−0.706275	+	0.707938i	$0.749626\pi$
$558$	10.1003	+	5.05164i	0.427582	+	0.213853i
$559$	−4.14890	+	4.14890i	−0.175480	+	0.175480i
$560$	−6.16391	+	1.20909i	−0.260473	+	0.0510934i
$561$	8.96674	−	11.2407i	0.378576	−	0.474585i
$562$	−25.2332	+	2.46836i	−1.06440	+	0.104122i
$563$	11.4925	+	17.1998i	0.484352	+	0.724884i	0.990492	−	0.137567i	$-0.0439284\pi$
$563$	11.4925	+	17.1998i	0.484352	+	0.724884i	−0.506141	+	0.862451i	$0.668928\pi$
$564$	−11.6559	+	1.29602i	−0.490801	+	0.0545722i
$565$	−0.886290	−	4.45568i	−0.0372865	−	0.187452i
$566$	20.7498	−	17.0059i	0.872178	−	0.714810i
$567$	0.891970	+	16.0415i	0.0374592	+	0.673679i
$568$	−24.1967	−	12.9954i	−1.01527	−	0.545273i
$569$	−1.45541	−	3.51367i	−0.0610139	−	0.147301i	0.890432	−	0.455116i	$-0.150402\pi$
$569$	−1.45541	−	3.51367i	−0.0610139	−	0.147301i	−0.951446	+	0.307815i	$0.900402\pi$
$570$	10.3840	+	4.14119i	0.434938	+	0.173455i
$571$	−26.2434	−	17.5353i	−1.09825	−	0.733828i	−0.131953	−	0.991256i	$-0.542125\pi$
$571$	−26.2434	−	17.5353i	−1.09825	−	0.733828i	−0.966297	+	0.257428i	$0.917125\pi$
$572$	4.60454	−	0.909552i	0.192525	−	0.0380303i
$573$	−0.881329	+	10.4314i	−0.0368180	+	0.435777i
$574$	−7.66839	+	25.2191i	−0.320072	+	1.05262i
$575$	16.9754			0.707925
$576$	8.65425	−	22.3854i	0.360594	−	0.932723i
$577$	−38.1968			−1.59015			−0.795077	−	0.606509i	$-0.792569\pi$
$577$	−38.1968			−1.59015			−0.795077	+	0.606509i	$0.792569\pi$
$578$	−0.263816	+	0.867612i	−0.0109733	+	0.0360879i
$579$	−0.274533	+	3.24936i	−0.0114092	+	0.135039i
$580$	3.04159	+	15.3978i	0.126295	+	0.639358i
$581$	14.0173	+	9.36604i	0.581534	+	0.388569i
$582$	6.48353	+	2.58566i	0.268751	+	0.107179i
$583$	10.1410	+	24.4826i	0.419999	+	1.01397i
$584$	3.50369	+	11.6334i	0.144984	+	0.481393i
$585$	−0.525707	+	3.08892i	−0.0217353	+	0.127711i
$586$	−2.06341	+	1.69111i	−0.0852387	+	0.0698591i
$587$	−4.56292	−	22.9393i	−0.188332	−	0.946807i	−0.953135	−	0.302544i	$-0.902164\pi$
$587$	−4.56292	−	22.9393i	−0.188332	−	0.946807i	0.764804	−	0.644263i	$-0.222836\pi$
$588$	1.45978	+	13.1287i	0.0602002	+	0.541417i
$589$	7.67250	+	11.4827i	0.316140	+	0.473137i
$590$	−11.6896	+	1.14350i	−0.481252	+	0.0470770i
$591$	5.63386	−	7.06264i	0.231746	−	0.290518i
$592$	2.56459	−	12.7167i	0.105404	−	0.522653i
$593$	−0.720946	+	0.720946i	−0.0296057	+	0.0296057i	−0.721755	−	0.692149i	$-0.756664\pi$
$593$	−0.720946	+	0.720946i	−0.0296057	+	0.0296057i	0.692149	+	0.721755i	$0.256664\pi$
$594$	−13.6354	−	5.00364i	−0.559469	−	0.205302i
$595$	−3.66436	−	5.48410i	−0.150224	−	0.224826i
$596$	0.507964	−	1.22175i	0.0208070	−	0.0500447i
$597$	20.1694	−	6.42550i	0.825479	−	0.262978i
$598$	−6.71161	−	0.665530i	−0.274458	−	0.0272156i
$599$	−5.88792	+	14.2147i	−0.240574	+	0.580797i	−0.997340	−	0.0728890i	$-0.976778\pi$
$599$	−5.88792	+	14.2147i	−0.240574	+	0.580797i	0.756766	+	0.653686i	$0.226778\pi$
$600$	−17.3503	−	11.2969i	−0.708324	−	0.461193i
$601$	13.8900	+	33.5333i	0.566583	+	1.36785i	0.904418	+	0.426648i	$0.140306\pi$
$601$	13.8900	+	33.5333i	0.566583	+	1.36785i	−0.337835	+	0.941206i	$0.609694\pi$
$602$	−11.9411	+	3.61366i	−0.486684	+	0.147282i
$603$	6.67264	−	17.4660i	0.271731	−	0.711268i
$604$	−27.1800	−	40.7947i	−1.10594	−	1.65991i
$605$	6.11990	+	1.21732i	0.248809	+	0.0494913i
$606$	8.11891	+	11.8097i	0.329808	+	0.479737i
$607$	−26.8428			−1.08952			−0.544759	−	0.838593i	$-0.683379\pi$
$607$	−26.8428			−1.08952			−0.544759	+	0.838593i	$0.683379\pi$
$608$	22.7486	−	18.5434i	0.922579	−	0.752036i
$609$	−27.4106	+	3.08459i	−1.11073	+	0.124994i
$610$	−2.39780	−	4.49314i	−0.0970842	−	0.181922i
$611$	0.784189	−	3.94239i	0.0317249	−	0.159492i
$612$	25.1921	−	0.666414i	1.01833	−	0.0269382i
$613$	27.1558	+	18.1449i	1.09681	+	0.732866i	0.966000	−	0.258542i	$-0.0832419\pi$
$613$	27.1558	+	18.1449i	1.09681	+	0.732866i	0.130811	+	0.991407i	$0.458242\pi$
$614$	−30.5824	+	9.25494i	−1.23421	+	0.373499i
$615$	13.9245	−	7.69328i	0.561490	−	0.310223i
$616$	9.54430	+	2.91598i	0.384551	+	0.117488i
$617$	17.2960	+	7.16425i	0.696312	+	0.288422i	0.702627	−	0.711558i	$-0.252010\pi$
$617$	17.2960	+	7.16425i	0.696312	+	0.288422i	−0.00631502	+	0.999980i	$0.502010\pi$
$618$	0.507310	+	38.3618i	0.0204070	+	1.54314i
$619$	3.91055	+	19.6597i	0.157178	+	0.790189i	0.976275	+	0.216534i	$0.0694751\pi$
$619$	3.91055	+	19.6597i	0.157178	+	0.790189i	−0.819097	+	0.573655i	$0.805525\pi$
$620$	1.78640	+	4.32899i	0.0717436	+	0.173856i
$621$	16.6714	+	12.5574i	0.669001	+	0.503910i
$622$	26.2855	+	21.6011i	1.05395	+	0.866127i
$623$	10.6119	+	10.6119i	0.425158	+	0.425158i
$624$	6.41693	+	5.14669i	0.256883	+	0.206033i
$625$	−9.89341	+	9.89341i	−0.395736	+	0.395736i
$626$	0.945461	−	0.0924868i	0.0377882	−	0.00369652i
$627$	−11.4574	−	13.5721i	−0.457566	−	0.542019i
$628$	29.4304	−	29.3524i	1.17440	−	1.17129i
$629$	13.3601	−	2.65749i	0.532702	−	0.105961i
$630$	−4.08543	+	5.26279i	−0.162767	+	0.209674i
$631$	18.9135	−	45.6613i	0.752936	−	1.81775i	0.210633	−	0.977565i	$-0.432447\pi$
$631$	18.9135	−	45.6613i	0.752936	−	1.81775i	0.542303	−	0.840183i	$-0.317553\pi$
$632$	1.56641	−	15.5861i	0.0623083	−	0.619981i
$633$	4.03440	−	2.22901i	0.160353	−	0.0885951i
$634$	−17.0914	+	31.9248i	−0.678787	+	1.26790i
$635$	−2.44785	+	3.66347i	−0.0971401	+	0.145380i
$636$	−21.3773	+	41.2316i	−0.847666	+	1.63494i
$637$	−4.44053	−	0.883276i	−0.175940	−	0.0349967i
$638$	7.25455	−	23.8581i	0.287210	−	0.944550i
$639$	−28.4031	+	6.47456i	−1.12361	+	0.256129i
$640$	8.79890	−	4.65073i	0.347807	−	0.183836i
$641$			34.0329i			1.34422i	0.740453	+	0.672109i	$0.234611\pi$
$641$			34.0329i			1.34422i	−0.740453	+	0.672109i	$0.765389\pi$
$642$	−4.81360	+	25.9912i	−0.189978	+	1.02579i
$643$	4.93903	−	24.8302i	0.194776	−	0.979207i	−0.752452	−	0.658647i	$-0.771129\pi$
$643$	4.93903	−	24.8302i	0.194776	−	0.979207i	0.947228	−	0.320560i	$-0.103871\pi$
$644$	−11.9134	−	7.98318i	−0.469456	−	0.314582i
$645$	6.68911	+	3.45685i	0.263383	+	0.136113i
$646$	27.1689	+	14.5453i	1.06895	+	0.572276i
$647$	17.8713	−	7.40254i	0.702594	−	0.291024i	−0.00264227	−	0.999997i	$-0.500841\pi$
$647$	17.8713	−	7.40254i	0.702594	−	0.291024i	0.705236	+	0.708973i	$0.250841\pi$
$648$	−8.68287	−	23.9292i	−0.341095	−	0.940029i
$649$	17.2405	+	7.14125i	0.676749	+	0.280319i
$650$	5.48841	−	4.49813i	0.215273	−	0.176431i
$651$	−7.84193	+	2.49825i	−0.307349	+	0.0979143i
$652$	7.79688	+	7.81758i	0.305349	+	0.306160i
$653$	5.16831	−	3.45335i	0.202251	−	0.135140i	−0.450320	−	0.892867i	$-0.648690\pi$
$653$	5.16831	−	3.45335i	0.202251	−	0.135140i	0.652572	+	0.757727i	$0.273690\pi$
$654$	−7.99112	−	37.5706i	−0.312478	−	1.46913i
$655$	−10.7963	−	10.7963i	−0.421845	−	0.421845i
$656$	0.110778	−	41.7641i	0.00432514	−	1.63061i
$657$	10.9095	+	6.85907i	0.425618	+	0.267598i
$658$	5.42649	−	6.60326i	0.211547	−	0.257422i
$659$	32.4179	−	21.6610i	1.26282	−	0.843792i	0.269939	−	0.962877i	$-0.412996\pi$
$659$	32.4179	−	21.6610i	1.26282	−	0.843792i	0.992884	+	0.119086i	$0.0379963\pi$
$660$	−2.90575	−	5.27579i	−0.113106	−	0.205360i
$661$	12.8918	−	2.56434i	0.501432	−	0.0997411i	0.0621078	−	0.998069i	$-0.480218\pi$
$661$	12.8918	−	2.56434i	0.501432	−	0.0997411i	0.439325	+	0.898328i	$0.355218\pi$
$662$	−8.28868	−	0.821913i	−0.322149	−	0.0319446i
$663$	−2.39231	+	8.29959i	−0.0929097	+	0.322329i
$664$	−25.5453	−	7.80462i	−0.991351	−	0.302878i
$665$	−7.52710	+	3.11783i	−0.291888	+	0.120904i
$666$	−6.81282	−	11.9547i	−0.263991	−	0.463233i
$667$	−19.9081	+	29.7946i	−0.770847	+	1.15365i
$668$	2.39461	−	11.9556i	0.0926504	−	0.462578i
$669$	−1.70963	+	20.2351i	−0.0660980	+	0.782334i
$670$	6.84030	−	3.65039i	0.264264	−	0.141027i
$671$			8.09159i			0.312372i
$672$	6.86386	+	16.0877i	0.264779	+	0.620596i
$673$		−	22.2938i		−	0.859364i	−0.902980	−	0.429682i	$-0.858626\pi$
$673$		−	22.2938i		−	0.859364i	0.902980	−	0.429682i	$-0.141374\pi$
$674$	20.8940	+	39.1524i	0.804809	+	1.50810i
$675$	−21.7455	+	3.06075i	−0.836984	+	0.117808i
$676$	19.2910	−	12.8529i	0.741963	−	0.494342i
$677$	4.74556	−	7.10223i	0.182387	−	0.272961i	−0.728999	−	0.684515i	$-0.760014\pi$
$677$	4.74556	−	7.10223i	0.182387	−	0.272961i	0.911385	+	0.411554i	$0.135014\pi$
$678$	−11.6221	+	4.99510i	−0.446345	+	0.191836i
$679$	−4.69974	+	1.94670i	−0.180360	+	0.0747074i
$680$	8.06504	+	6.64570i	0.309280	+	0.254851i
$681$	−32.8278	−	9.46243i	−1.25796	−	0.362601i
$682$	0.734203	−	7.40416i	0.0281141	−	0.283520i
$683$	−4.27166	+	0.849686i	−0.163451	+	0.0325123i	−0.276137	−	0.961118i	$-0.589054\pi$
$683$	−4.27166	+	0.849686i	−0.163451	+	0.0325123i	0.112687	+	0.993631i	$0.464054\pi$
$684$	5.26353	−	30.6810i	0.201256	−	1.17312i
$685$	−10.7322	+	7.17103i	−0.410057	+	0.273991i
$686$	−21.0908	−	17.3322i	−0.805251	−	0.661747i
$687$	−18.1893	+	22.8022i	−0.693964	+	0.869957i
$688$	16.4649	−	10.9384i	0.627719	−	0.417024i
$689$	−11.2560	−	11.2560i	−0.428821	−	0.428821i
$690$	1.80063	+	8.46572i	0.0685487	+	0.322284i
$691$	15.3523	−	10.2581i	0.584028	−	0.390235i	−0.228166	−	0.973622i	$-0.573273\pi$
$691$	15.3523	−	10.2581i	0.584028	−	0.390235i	0.812194	+	0.583387i	$0.198273\pi$
$692$	−0.0325483	+	24.5420i	−0.00123730	+	0.932948i
$693$	9.66318	−	4.32079i	0.367074	−	0.164133i
$694$	3.54716	+	4.32807i	0.134648	+	0.164291i
$695$	−11.9148	−	4.93526i	−0.451953	−	0.187205i
$696$	40.1756	−	17.2041i	1.52285	−	0.652119i
$697$	40.5158	−	16.7822i	1.53464	−	0.635670i
$698$	1.95928	−	3.65971i	0.0741598	−	0.138522i
$699$	15.3962	−	29.7922i	0.582340	−	1.12685i
$700$	14.8026	−	2.92402i	0.559485	−	0.110517i
$701$	−1.06892	+	5.37381i	−0.0403724	+	0.202966i	−0.995707	−	0.0925602i	$-0.970495\pi$
$701$	−1.06892	+	5.37381i	−0.0403724	+	0.202966i	0.955335	+	0.295526i	$0.0954949\pi$
$702$	8.71755	−	0.357594i	0.329023	−	0.0134965i
$703$		−	16.8263i		−	0.634616i
$704$	−15.8122	−	0.0629120i	−0.595944	−	0.00237108i
$705$	−5.12593	+	0.576836i	−0.193054	+	0.0217249i
$706$	−23.2557	−	7.07138i	−0.875240	−	0.266135i
$707$	−10.2437	−	2.03760i	−0.385253	−	0.0766317i
$708$	9.88624	+	31.1755i	0.371548	+	1.17165i
$709$	22.7601	−	34.0630i	0.854775	−	1.27926i	−0.103851	−	0.994593i	$-0.533117\pi$
$709$	22.7601	−	34.0630i	0.854775	−	1.27926i	0.958626	−	0.284668i	$-0.0918834\pi$
$710$	−10.6502	−	5.70173i	−0.399695	−	0.213982i
$711$	−9.61076	−	13.5530i	−0.360432	−	0.508279i
$712$	−20.9483	−	11.2507i	−0.785071	−	0.421639i
$713$	−4.09161	+	9.87801i	−0.153232	+	0.369935i
$714$	−12.8138	+	13.1573i	−0.479544	+	0.492398i
$715$	2.02472	−	0.402741i	0.0757201	−	0.0150617i
$716$	−0.0414506	+	31.2545i	−0.00154908	+	1.16803i
$717$	39.8865	−	33.6717i	1.48959	−	1.25749i
$718$	0.206497	+	2.11095i	0.00770642	+	0.0787801i
$719$	−10.4105	+	10.4105i	−0.388248	+	0.388248i	−0.874062	−	0.485814i	$-0.838523\pi$
$719$	−10.4105	+	10.4105i	−0.388248	+	0.388248i	0.485814	+	0.874062i	$0.338523\pi$
$720$	3.79340	−	9.85096i	0.141372	−	0.367123i
$721$	−19.7706	−	19.7706i	−0.736294	−	0.736294i
$722$	7.10907	−	8.65073i	0.264572	−	0.321947i
$723$	−20.8728	−	24.7253i	−0.776269	−	0.919546i
$724$	−17.8306	+	42.8860i	−0.662670	+	1.59384i
$725$	−7.35531	−	36.9776i	−0.273169	−	1.37331i
$726$	−0.229753	−	17.3735i	−0.00852692	−	0.644789i
$727$	26.9114	+	11.1471i	0.998088	+	0.413422i	0.821096	−	0.570790i	$-0.193363\pi$
$727$	26.9114	+	11.1471i	0.998088	+	0.413422i	0.176993	+	0.984212i	$0.443363\pi$
$728$	−5.96717	+	0.575731i	−0.221158	+	0.0213380i
$729$	−23.6202	−	13.0800i	−0.874822	−	0.484445i
$730$	1.54784	+	5.11475i	0.0572882	+	0.189306i
$731$	17.2582	+	11.5316i	0.638319	+	0.426511i
$732$	−10.8485	+	9.13357i	−0.400973	+	0.337586i
$733$	0.362733	−	1.82358i	0.0133978	−	0.0673555i	−0.973508	−	0.228653i	$-0.926568\pi$
$733$	0.362733	−	1.82358i	0.0133978	−	0.0673555i	0.986906	+	0.161298i	$0.0515679\pi$
$734$	1.05488	−	0.562948i	0.0389365	−	0.0207788i
$735$	0.649722	+	5.77362i	0.0239654	+	0.212963i
$736$	21.7217	+	6.66794i	0.800674	+	0.245784i
$737$	−12.3185			−0.453759
$738$	−29.0200	−	33.4682i	−1.06824	−	1.23198i
$739$	−18.0176	−	3.58392i	−0.662788	−	0.131837i	−0.147777	−	0.989021i	$-0.547212\pi$
$739$	−18.0176	−	3.58392i	−0.662788	−	0.131837i	−0.515010	+	0.857184i	$0.672212\pi$
$740$	1.12059	−	5.59478i	0.0411935	−	0.205668i
$741$	9.47852	+	4.89838i	0.348202	+	0.179947i
$742$	−9.80391	−	32.3965i	−0.359913	−	1.18931i
$743$	5.48417	+	13.2400i	0.201195	+	0.485727i	0.991984	−	0.126361i	$-0.0403298\pi$
$743$	5.48417	+	13.2400i	0.201195	+	0.485727i	−0.790790	+	0.612088i	$0.790330\pi$
$744$	10.7556	−	7.37326i	0.394320	−	0.270317i
$745$	0.222709	−	0.537666i	0.00815941	−	0.0196986i
$746$	−0.586288	+	5.91248i	−0.0214655	+	0.216471i
$747$	−25.8635	+	11.5646i	−0.946296	+	0.423126i
$748$	−6.33353	−	15.3480i	−0.231577	−	0.561180i
$749$	−10.7025	−	16.0175i	−0.391062	−	0.585265i
$750$	−16.6743	−	10.8253i	−0.608861	−	0.395283i
$751$	−22.4584	+	22.4584i	−0.819518	+	0.819518i	−0.986038	−	0.166520i	$-0.946747\pi$
$751$	−22.4584	+	22.4584i	−0.819518	+	0.819518i	0.166520	+	0.986038i	$0.446747\pi$
$752$	−5.21546	+	12.4974i	−0.190188	+	0.455732i
$753$	−18.8762	−	15.0576i	−0.687888	−	0.548728i
$754$	1.45836	+	14.9083i	0.0531102	+	0.542928i
$755$	−11.9786	−	17.9272i	−0.435944	−	0.652437i
$756$	16.7005	+	8.07838i	0.607391	+	0.293808i
$757$	−2.33825	−	11.7552i	−0.0849853	−	0.427250i	−0.999730	−	0.0232186i	$-0.992609\pi$
$757$	−2.33825	−	11.7552i	−0.0849853	−	0.427250i	0.914745	−	0.404031i	$-0.132391\pi$
$758$	−16.7538	−	20.4422i	−0.608525	−	0.742493i
$759$	3.80864	−	13.2132i	0.138245	−	0.479609i
$760$	9.99488	−	8.16937i	0.362552	−	0.296334i
$761$	−7.55526	−	18.2400i	−0.273878	−	0.661200i	0.725764	−	0.687943i	$-0.241486\pi$
$761$	−7.55526	−	18.2400i	−0.273878	−	0.661200i	−0.999642	+	0.0267435i	$0.991486\pi$
$762$	11.3959	+	4.54475i	0.412831	+	0.164639i
$763$	23.2755	+	15.5522i	0.842630	+	0.563027i
$764$	10.0419	+	6.72907i	0.363304	+	0.243449i
$765$	11.0800	−	0.307809i	0.400599	−	0.0111288i
$766$	−45.5976	−	13.8649i	−1.64751	−	0.500960i
$767$	−11.2097			−0.404757
$768$	−17.7640	−	21.2706i	−0.641004	−	0.767538i
$769$	−2.86963			−0.103482			−0.0517408	−	0.998661i	$-0.516477\pi$
$769$	−2.86963			−0.103482			−0.0517408	+	0.998661i	$0.516477\pi$
$770$	4.19964	+	1.27699i	0.151345	+	0.0460195i
$771$	21.0623	+	1.77951i	0.758539	+	0.0640877i
$772$	3.12804	+	2.09610i	0.112581	+	0.0754402i
$773$	34.5172	+	23.0637i	1.24150	+	0.829542i	0.990375	−	0.138413i	$-0.0442001\pi$
$773$	34.5172	+	23.0637i	1.24150	+	0.829542i	0.251123	+	0.967955i	$0.419200\pi$
$774$	5.54010	−	20.2211i	0.199135	−	0.726833i
$775$	−4.30494	−	10.3930i	−0.154638	−	0.373329i
$776$	6.24057	−	5.10076i	0.224023	−	0.183107i
$777$	9.63548	+	2.77738i	0.345671	+	0.0996378i
$778$	9.15417	+	11.1695i	0.328193	+	0.400446i
$779$	−10.5681	−	53.1295i	−0.378642	−	1.90356i
$780$	2.82541	+	2.25996i	0.101166	+	0.0809197i
$781$	10.6632	+	15.9586i	0.381560	+	0.571045i
$782$	2.32285	+	23.7457i	0.0830650	+	0.849145i
$783$	20.1302	−	41.7564i	0.719393	−	1.49225i
$784$	14.0765	+	5.87446i	0.502732	+	0.209802i
$785$	12.9274	−	12.9274i	0.461400	−	0.461400i
$786$	−23.1506	+	35.6592i	−0.825753	+	1.27192i
$787$	−7.99533	−	11.9659i	−0.285003	−	0.426537i	0.661152	−	0.750252i	$-0.270068\pi$
$787$	−7.99533	−	11.9659i	−0.285003	−	0.426537i	−0.946154	+	0.323715i	$0.895068\pi$
$788$	−3.97940	−	9.64327i	−0.141760	−	0.343527i
$789$	10.0086	+	31.4167i	0.356316	+	1.11846i
$790$	0.679872	−	6.85625i	0.0241888	−	0.243934i
$791$	3.52801	−	8.51737i	0.125442	−	0.302843i
$792$	−12.6859	+	10.9704i	−0.450774	+	0.389817i
$793$	−1.86008	−	4.49063i	−0.0660533	−	0.159467i
$794$	6.30446	+	20.8327i	0.223737	+	0.739326i
$795$	−9.37849	+	18.1477i	−0.332621	+	0.643631i
$796$	4.80036	−	23.9669i	0.170144	−	0.849484i
$797$	−1.85963	−	0.369903i	−0.0658713	−	0.0131026i	0.162045	−	0.986783i	$-0.448191\pi$
$797$	−1.85963	−	0.369903i	−0.0658713	−	0.0131026i	−0.227916	+	0.973681i	$0.573191\pi$
$798$	12.8522	+	18.6947i	0.454963	+	0.661787i
$799$	−14.2196			−0.503053
$800$	−21.1212	+	11.1996i	−0.746747	+	0.395967i
$801$	−24.5900	+	5.60535i	−0.868844	+	0.198055i
$802$	19.8797	−	10.6090i	0.701978	−	0.374617i
$803$	1.65636	−	8.32711i	0.0584518	−	0.293857i
$804$	−13.9048	−	16.5157i	−0.490386	−	0.582462i
$805$	−5.24463	−	3.50435i	−0.184849	−	0.123512i
$806$	1.29459	+	4.27790i	0.0455999	+	0.150682i
$807$	−17.3535	−	31.4090i	−0.610871	−	1.10565i
$808$	16.4719	−	1.58926i	0.579478	−	0.0559099i
$809$	−22.5374	−	9.33528i	−0.792371	−	0.328211i	−0.0504747	−	0.998725i	$-0.516073\pi$
$809$	−22.5374	−	9.33528i	−0.792371	−	0.328211i	−0.741896	+	0.670514i	$0.766073\pi$
$810$	−3.83301	−	10.5199i	−0.134678	−	0.369631i
$811$	−2.20624	−	11.0915i	−0.0774717	−	0.389477i	−0.999994	−	0.00353228i	$-0.998876\pi$
$811$	−2.20624	−	11.0915i	−0.0774717	−	0.389477i	0.922522	−	0.385944i	$-0.126124\pi$
$812$	−12.2278	+	29.4101i	−0.429111	+	1.03209i
$813$	−21.0263	+	17.7502i	−0.737425	+	0.622526i
$814$	−5.75573	+	7.00391i	−0.201738	+	0.245487i
$815$	3.43392	+	3.43392i	0.120285	+	0.120285i
$816$	13.4282	−	25.8159i	0.470082	−	0.903738i
$817$	18.1296	−	18.1296i	0.634274	−	0.634274i
$818$	−0.207128	−	2.11739i	−0.00724205	−	0.0740330i
$819$	−4.36957	+	4.61928i	−0.152685	+	0.161411i
$820$	0.0243621	−	18.3694i	0.000850761	−	0.641489i
$821$	11.0924	−	2.20641i	0.387126	−	0.0770042i	0.00230971	−	0.999997i	$-0.499265\pi$
$821$	11.0924	−	2.20641i	0.387126	−	0.0770042i	0.384816	+	0.922993i	$0.374265\pi$
$822$	25.7483	+	25.0762i	0.898076	+	0.874633i
$823$	−11.3597	+	27.4247i	−0.395973	+	0.955964i	0.592637	+	0.805469i	$0.298087\pi$
$823$	−11.3597	+	27.4247i	−0.395973	+	0.955964i	−0.988611	+	0.150495i	$0.951913\pi$
$824$	39.0277	+	20.9607i	1.35960	+	0.730200i
$825$	6.99676	+	12.6638i	0.243596	+	0.440898i
$826$	−21.0132	−	11.2497i	−0.731144	−	0.391428i
$827$	−14.3360	+	21.4553i	−0.498510	+	0.746073i	−0.992347	−	0.123482i	$-0.960594\pi$
$827$	−14.3360	+	21.4553i	−0.498510	+	0.746073i	0.493837	+	0.869555i	$0.335594\pi$
$828$	22.0142	−	9.80842i	0.765048	−	0.340866i
$829$	−8.32245	−	1.65544i	−0.289051	−	0.0574958i	0.0484353	−	0.998826i	$-0.484577\pi$
$829$	−8.32245	−	1.65544i	−0.289051	−	0.0574958i	−0.337486	+	0.941331i	$0.609577\pi$
$830$	−11.2403	−	3.41786i	−0.390158	−	0.118636i
$831$	−0.935010	−	8.30877i	−0.0324351	−	0.288228i
$832$	8.78982	−	3.59996i	0.304732	−	0.124806i
$833$			16.0163i			0.554932i
$834$	−6.53949	+	35.3103i	−0.226444	+	1.22269i
$835$	1.04627	−	5.25993i	0.0362075	−	0.182028i
$836$	−20.1206	+	3.97450i	−0.695885	+	0.137461i
$837$	3.46028	−	13.3914i	0.119605	−	0.462876i
$838$	−12.2710	+	22.9208i	−0.423895	+	0.791788i
$839$	−27.4216	+	11.3584i	−0.946700	+	0.392136i	−0.801990	−	0.597338i	$-0.796225\pi$
$839$	−27.4216	+	11.3584i	−0.946700	+	0.392136i	−0.144710	+	0.989474i	$0.546225\pi$
$840$	3.02836	+	7.07195i	0.104489	+	0.244006i
$841$	46.7352	+	19.3584i	1.61156	+	0.667530i
$842$	20.8033	+	25.3832i	0.716928	+	0.874761i
$843$	9.42560	+	29.5866i	0.324635	+	1.01902i
$844$	0.00705853	−	5.32226i	0.000242965	−	0.183200i
$845$	8.47742	−	5.66443i	0.291632	−	0.194862i
$846$	4.54054	+	13.6269i	0.156107	+	0.468502i
$847$	8.95377	+	8.95377i	0.307655	+	0.307655i
$848$	29.6762	+	44.6696i	1.01908	+	1.53396i
$849$	−25.6864	−	20.4900i	−0.881553	−	0.703215i
$850$	−19.3944	−	15.9381i	−0.665221	−	0.546671i
$851$	10.8316	−	7.23743i	0.371302	−	0.248096i
$852$	−9.35962	+	32.3100i	−0.320655	+	1.10692i
$853$	30.8656	−	6.13955i	1.05682	−	0.210214i	0.364054	−	0.931378i	$-0.381392\pi$
$853$	30.8656	−	6.13955i	1.05682	−	0.210214i	0.692765	+	0.721164i	$0.256392\pi$
$854$	1.01984	−	10.2847i	0.0348982	−	0.351935i
$855$	2.29720	−	13.4977i	0.0785625	−	0.461613i
$856$	23.5556	+	19.4101i	0.805114	+	0.663425i
$857$	7.21423	−	2.98823i	0.246433	−	0.102076i	−0.256048	−	0.966664i	$-0.582421\pi$
$857$	7.21423	−	2.98823i	0.246433	−	0.102076i	0.502481	+	0.864588i	$0.332421\pi$
$858$	−2.26983	−	5.28123i	−0.0774908	−	0.180298i
$859$	−10.7585	+	16.1013i	−0.367077	+	0.549369i	−0.968325	−	0.249693i	$-0.919670\pi$
$859$	−10.7585	+	16.1013i	−0.367077	+	0.549369i	0.601248	+	0.799062i	$0.294670\pi$
$860$	7.23550	−	4.82074i	0.246729	−	0.164386i
$861$	32.1686	+	2.71787i	1.09630	+	0.0926249i
$862$	13.5006	+	25.2982i	0.459832	+	0.861660i
$863$		−	27.4934i		−	0.935887i	−0.883758	−	0.467944i	$-0.844995\pi$
$863$		−	27.4934i		−	0.935887i	0.883758	−	0.467944i	$-0.155005\pi$
$864$	−29.0277	−	4.62508i	−0.987543	−	0.157348i
$865$			10.7945i			0.367024i
$866$	−0.743512	+	0.396782i	−0.0252656	+	0.0134832i
$867$	1.10670	+	0.0935030i	0.0375854	+	0.00317553i
$868$	−1.86640	+	9.31841i	−0.0633497	+	0.316287i
$869$	−6.08160	+	9.10176i	−0.206304	+	0.308756i
$870$	17.6607	−	7.59043i	0.598754	−	0.257340i
$871$	6.83648	−	2.83176i	0.231645	−	0.0959506i
$872$	−42.4177	−	12.9595i	−1.43644	−	0.438863i
$873$	1.43432	−	8.42766i	0.0485442	−	0.285233i
$874$	29.3279	+	2.90819i	0.992033	+	0.0983709i
$875$	14.2099	−	2.82652i	0.480381	−	0.0955538i
$876$	13.0339	−	7.17871i	0.440376	−	0.242546i
$877$	26.0250	−	17.3894i	0.878803	−	0.587198i	−0.0322529	−	0.999480i	$-0.510268\pi$
$877$	26.0250	−	17.3894i	0.878803	−	0.587198i	0.911056	+	0.412282i	$0.135268\pi$
$878$	3.20088	−	3.89502i	0.108025	−	0.131450i
$879$	2.55432	+	2.03758i	0.0861550	+	0.0687258i
$880$	−6.95482	−	0.0184474i	−0.234447	−	0.000621861i
$881$	−37.7482	−	37.7482i	−1.27177	−	1.27177i	−0.945159	−	0.326610i	$-0.894094\pi$
$881$	−37.7482	−	37.7482i	−1.27177	−	1.27177i	−0.326610	−	0.945159i	$-0.605906\pi$
$882$	15.3487	−	5.11426i	0.516818	−	0.172206i
$883$	15.4764	−	10.3410i	0.520823	−	0.348003i	−0.267207	−	0.963639i	$-0.586101\pi$
$883$	15.4764	−	10.3410i	0.520823	−	0.348003i	0.788031	+	0.615636i	$0.211101\pi$
$884$	7.04313	+	7.06183i	0.236886	+	0.237515i
$885$	4.36652	+	13.7064i	0.146779	+	0.460734i
$886$	4.15603	−	3.40616i	0.139625	−	0.114432i
$887$	41.2430	+	17.0834i	1.38481	+	0.573605i	0.945762	−	0.324860i	$-0.105317\pi$
$887$	41.2430	+	17.0834i	1.38481	+	0.573605i	0.439044	+	0.898466i	$0.355317\pi$
$888$	−15.8872	+	0.189024i	−0.533138	+	0.00634323i
$889$	−8.26061	+	3.42166i	−0.277052	+	0.114759i
$890$	−9.22041	−	4.93628i	−0.309069	−	0.165464i
$891$	−2.49645	+	17.6128i	−0.0836342	+	0.590051i
$892$	19.4796	+	13.0533i	0.652225	+	0.437055i
$893$	−3.42670	+	17.2272i	−0.114670	+	0.576485i
$894$	−1.59341	−	0.295101i	−0.0532916	−	0.00986965i
$895$			13.7469i			0.459508i
$896$	20.0899	+	2.07288i	0.671157	+	0.0692502i
$897$	0.923728	+	8.20852i	0.0308424	+	0.274074i
$898$	−12.7776	+	42.0218i	−0.426394	+	1.40229i
$899$	23.2901	+	4.63270i	0.776770	+	0.154509i
$900$	−9.08082	+	23.6753i	−0.302694	+	0.789175i
$901$	−31.2854	+	46.8219i	−1.04227	+	1.55986i
$902$	−13.7749	+	25.7300i	−0.458655	+	0.856716i
$903$	7.38930	+	13.3743i	0.245900	+	0.445069i
$904$	−1.46066	+	14.5338i	−0.0485808	+	0.483389i
$905$	−7.81755	+	18.8732i	−0.259864	+	0.627368i
$906$	−41.8875	+	43.0102i	−1.39162	+	1.42892i
$907$	−23.7082	+	4.71586i	−0.787219	+	0.156588i	−0.572300	−	0.820044i	$-0.693949\pi$
$907$	−23.7082	+	4.71586i	−0.787219	+	0.156588i	−0.214919	+	0.976632i	$0.568949\pi$
$908$	−27.9320	+	27.8580i	−0.926956	+	0.924501i
$909$	12.0618	−	12.7511i	0.400065	−	0.422928i
$910$	−2.62425	+	0.256709i	−0.0869929	+	0.00850981i
$911$	−26.8640	+	26.8640i	−0.890044	+	0.890044i	−0.994527	−	0.104483i	$-0.966681\pi$
$911$	−26.8640	+	26.8640i	−0.890044	+	0.890044i	0.104483	+	0.994527i	$0.466681\pi$
$912$	−28.0403	−	22.4897i	−0.928506	−	0.744707i
$913$	13.1988	+	13.1988i	0.436817	+	0.436817i
$914$	−0.655855	−	0.538974i	−0.0216937	−	0.0178277i
$915$	−4.76625	+	4.02361i	−0.157567	+	0.133016i
$916$	12.8477	+	31.1339i	0.424501	+	1.02869i
$917$	−6.04470	−	30.3888i	−0.199614	−	1.00353i
$918$	−7.25703	−	29.9994i	−0.239518	−	0.990127i
$919$	−38.5707	−	15.9765i	−1.27233	−	0.527017i	−0.358659	−	0.933469i	$-0.616766\pi$
$919$	−38.5707	−	15.9765i	−1.27233	−	0.527017i	−0.913672	+	0.406452i	$0.866766\pi$
$920$	9.55791	+	2.92014i	0.315115	+	0.0962741i
$921$	18.9247	+	34.2529i	0.623591	+	1.12867i
$922$	41.4362	−	12.5395i	1.36463	−	0.412968i
$923$	−9.58636	−	6.40540i	−0.315539	−	0.210836i
$924$	1.04516	−	12.1780i	0.0343833	−	0.400625i
$925$	−2.67396	+	13.4429i	−0.0879191	+	0.441999i
$926$	5.36922	+	10.0611i	0.176444	+	0.330630i
$927$	45.8124	−	10.4430i	1.50468	−	0.342994i
$928$	5.11295	−	50.2056i	0.167841	−	1.64808i
$929$	28.3483			0.930079			0.465039	−	0.885290i	$-0.346040\pi$
$929$	28.3483			0.930079			0.465039	+	0.885290i	$0.346040\pi$
$930$	4.72642	−	3.24931i	0.154985	−	0.106549i
$931$	19.4039	+	3.85968i	0.635937	+	0.126496i
$932$	−21.4708	−	32.2258i	−0.703299	−	1.05559i
$933$	19.1304	−	37.0180i	0.626302	−	1.21191i
$934$	9.37290	−	2.83645i	0.306691	−	0.0928115i
$935$	−2.79467	−	6.74694i	−0.0913956	−	0.220649i
$936$	4.51850	−	9.00451i	0.147692	−	0.294322i
$937$	−0.724125	+	1.74819i	−0.0236561	+	0.0571109i	−0.935266	−	0.353945i	$-0.884840\pi$
$937$	−0.724125	+	1.74819i	−0.0236561	+	0.0571109i	0.911610	+	0.411056i	$0.134840\pi$
$938$	15.6573	+	1.55259i	0.511229	+	0.0506940i
$939$	−0.353167	−	1.10858i	−0.0115252	−	0.0361771i
$940$	−2.28666	+	5.49985i	−0.0745827	+	0.179385i
$941$	−7.46179	−	11.1674i	−0.243247	−	0.364045i	0.689677	−	0.724117i	$-0.257752\pi$
$941$	−7.46179	−	11.1674i	−0.243247	−	0.364045i	−0.932925	+	0.360071i	$0.882752\pi$
$942$	−42.6983	−	27.7205i	−1.39118	−	0.903181i
$943$	29.6554	−	29.6554i	0.965711	−	0.965711i
$944$	37.0197	+	7.46581i	1.20489	+	0.242991i
$945$	7.35021	+	3.54343i	0.239102	+	0.115268i
$946$	−13.7479	+	1.34485i	−0.446984	+	0.0437248i
$947$	−30.9959	−	46.3886i	−1.00723	−	1.50743i	−0.854696	−	0.519129i	$-0.826256\pi$
$947$	−30.9959	−	46.3886i	−1.00723	−	1.50743i	−0.152535	−	0.988298i	$-0.548744\pi$
$948$	−19.0676	+	2.12013i	−0.619288	+	0.0688586i
$949$	0.994979	+	5.00210i	0.0322984	+	0.162375i
$950$	−23.9829	+	19.6556i	−0.778107	+	0.637713i
$951$	42.6155	+	12.2837i	1.38190	+	0.398326i
$952$	6.11572	+	20.3062i	0.198212	+	0.658127i
$953$	−2.99580	−	7.23249i	−0.0970433	−	0.234283i	0.867901	−	0.496737i	$-0.165468\pi$
$953$	−2.99580	−	7.23249i	−0.0970433	−	0.234283i	−0.964945	+	0.262453i	$0.915468\pi$
$954$	54.8602	+	15.0304i	1.77616	+	0.486627i
$955$	4.42073	+	2.95384i	0.143052	+	0.0955840i
$956$	−11.6805	−	59.1314i	−0.377773	−	1.91245i
$957$	−30.4326	−	2.57120i	−0.983746	−	0.0831150i
$958$	7.02666	−	23.1086i	0.227021	−	0.746605i
$959$	−26.1935			−0.845831
$960$	−7.82568	−	9.34525i	−0.252573	−	0.301617i
$961$	−23.9147			−0.771441
$962$	1.58424	−	5.21011i	0.0510780	−	0.167981i
$963$	32.3615	−	0.899019i	1.04283	−	0.0289705i
$964$	−36.6551	+	7.24063i	−1.18058	+	0.233205i
$965$	1.37705	+	0.920116i	0.0443289	+	0.0296196i
$966$	−6.50627	+	16.3144i	−0.209336	+	0.524908i
$967$	−9.28824	−	22.4238i	−0.298690	−	0.721100i	−0.999966	−	0.00821123i	$-0.997386\pi$
$967$	−9.28824	−	22.4238i	−0.298690	−	0.721100i	0.701277	−	0.712889i	$-0.252614\pi$
$968$	−17.6750	−	9.49276i	−0.568097	−	0.305109i
$969$	10.4538	−	36.2670i	0.335823	−	1.16506i
$970$	2.74186	−	2.24714i	0.0880358	−	0.0721514i
$971$	−8.86554	−	44.5701i	−0.284509	−	1.43032i	−0.813436	−	0.581655i	$-0.802405\pi$
$971$	−8.86554	−	44.5701i	−0.284509	−	1.43032i	0.528927	−	0.848667i	$-0.322595\pi$
$972$	−26.4317	+	16.5338i	−0.847796	+	0.530323i
$973$	−14.5398	−	21.7604i	−0.466126	−	0.697607i
$974$	−24.1809	+	2.36542i	−0.774807	+	0.0757931i
$975$	−6.79416	−	5.41970i	−0.217587	−	0.173569i
$976$	3.15205	+	16.0691i	0.100895	+	0.514358i
$977$	1.87488	−	1.87488i	0.0599827	−	0.0599827i	−0.676479	−	0.736462i	$-0.736495\pi$
$977$	1.87488	−	1.87488i	0.0599827	−	0.0599827i	0.736462	+	0.676479i	$0.236495\pi$
$978$	7.36338	−	11.3419i	0.235455	−	0.362675i
$979$	9.23169	+	13.8162i	0.295046	+	0.441568i
$980$	6.19479	+	2.57560i	0.197885	+	0.0822744i
$981$	−42.9460	+	19.2029i	−1.37116	+	0.613100i
$982$	−17.9124	−	1.77621i	−0.571607	−	0.0566811i
$983$	−8.99875	+	21.7249i	−0.287015	+	0.692917i	−0.999966	−	0.00829821i	$-0.997359\pi$
$983$	−8.99875	+	21.7249i	−0.287015	+	0.692917i	0.712950	+	0.701215i	$0.247359\pi$
$984$	−50.0454	+	10.5751i	−1.59539	+	0.337122i
$985$	−1.75591	−	4.23915i	−0.0559480	−	0.135071i
$986$	50.7189	−	15.3487i	1.61522	−	0.488801i
$987$	−9.29941	−	4.80582i	−0.296003	−	0.152971i
$988$	10.2528	−	6.83103i	0.326184	−	0.217324i
$989$	19.4685	+	3.87253i	0.619064	+	0.123139i
$990$	−5.57333	+	4.83260i	−0.177132	+	0.153590i
$991$	3.38571			0.107551			0.0537753	−	0.998553i	$-0.482875\pi$
$991$	3.38571			0.107551			0.0537753	+	0.998553i	$0.482875\pi$
$992$	−1.42621	−	14.9899i	−0.0452822	−	0.475929i
$993$	1.14078	+	10.1373i	0.0362016	+	0.321698i
$994$	−11.5419	−	21.6280i	−0.366088	−	0.685997i
$995$	2.09740	−	10.5443i	0.0664920	−	0.334278i
$996$	−2.79738	+	32.5943i	−0.0886383	+	1.03279i
$997$	25.0444	+	16.7341i	0.793164	+	0.529975i	0.884885	−	0.465810i	$-0.154237\pi$
$997$	25.0444	+	16.7341i	0.793164	+	0.529975i	−0.0917213	+	0.995785i	$0.529237\pi$
$998$	7.27722	−	2.20225i	0.230356	−	0.0697111i
$999$	−12.5703	+	11.2241i	−0.397706	+	0.355115i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.35.3	yes	240
3.2	odd	2	inner	192.2.s.a.35.28	yes	240
4.3	odd	2		768.2.s.a.47.16		240
12.11	even	2		768.2.s.a.47.19		240
64.11	odd	16	inner	192.2.s.a.11.28	yes	240
64.53	even	16		768.2.s.a.719.19		240
192.11	even	16	inner	192.2.s.a.11.3	✓	240
192.53	odd	16		768.2.s.a.719.16		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.3	✓	240	192.11	even	16	inner
192.2.s.a.11.28	yes	240	64.11	odd	16	inner
192.2.s.a.35.3	yes	240	1.1	even	1	trivial
192.2.s.a.35.28	yes	240	3.2	odd	2	inner
768.2.s.a.47.16		240	4.3	odd	2
768.2.s.a.47.19		240	12.11	even	2
768.2.s.a.719.16		240	192.53	odd	16
768.2.s.a.719.19		240	64.53	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35305 - 0.411422i) q^{2} +(-0.145818 + 1.72590i) q^{3} +(1.66146 + 1.11334i) q^{4} +(0.731423 + 0.488721i) q^{5} +(0.907373 - 2.27523i) q^{6} +(0.683144 + 1.64925i) q^{7} +(-1.78998 - 2.18997i) q^{8} +(-2.95747 - 0.503337i) q^{9} +O(q^{10})\)	\(q+(-1.35305 - 0.411422i) q^{2} +(-0.145818 + 1.72590i) q^{3} +(1.66146 + 1.11334i) q^{4} +(0.731423 + 0.488721i) q^{5} +(0.907373 - 2.27523i) q^{6} +(0.683144 + 1.64925i) q^{7} +(-1.78998 - 2.18997i) q^{8} +(-2.95747 - 0.503337i) q^{9} +(-0.788578 - 0.962186i) q^{10} +(0.385603 + 1.93856i) q^{11} +(-2.16380 + 2.70518i) q^{12} +(-0.659632 - 0.987209i) q^{13} +(-0.245785 - 2.51258i) q^{14} +(-0.950140 + 1.19110i) q^{15} +(1.52093 + 3.69957i) q^{16} +(-2.96995 + 2.96995i) q^{17} +(3.79451 + 1.89781i) q^{18} +(2.88241 + 4.31384i) q^{19} +(0.671118 + 1.62632i) q^{20} +(-2.94607 + 0.938547i) q^{21} +(0.275827 - 2.78160i) q^{22} +(-1.53714 + 3.71099i) q^{23} +(4.04068 - 2.77000i) q^{24} +(-1.61729 - 3.90447i) q^{25} +(0.486353 + 1.60713i) q^{26} +(1.29996 - 5.03091i) q^{27} +(-0.701171 + 3.50075i) q^{28} +(8.74967 + 1.74042i) q^{29} +(1.77563 - 1.22070i) q^{30} +2.66183 q^{31} +(-0.535800 - 5.63142i) q^{32} +(-3.40199 + 0.382836i) q^{33} +(5.24038 - 2.79658i) q^{34} +(-0.306359 + 1.54017i) q^{35} +(-4.35335 - 4.12896i) q^{36} +(-2.69661 - 1.80182i) q^{37} +(-2.12523 - 7.02271i) q^{38} +(1.80001 - 0.994507i) q^{39} +(-0.238950 - 2.47660i) q^{40} +(-9.64627 - 3.99562i) q^{41} +(4.37230 - 0.0578208i) q^{42} +(-0.964098 - 4.84685i) q^{43} +(-1.51762 + 3.65015i) q^{44} +(-1.91717 - 1.81353i) q^{45} +(3.60660 - 4.38872i) q^{46} +(2.39391 + 2.39391i) q^{47} +(-6.60687 + 2.08550i) q^{48} +(2.69639 - 2.69639i) q^{49} +(0.581876 + 5.94832i) q^{50} +(-4.69277 - 5.55892i) q^{51} +(0.00314928 - 2.37461i) q^{52} +(13.1496 - 2.61561i) q^{53} +(-3.82874 + 6.27222i) q^{54} +(-0.665376 + 1.60636i) q^{55} +(2.38900 - 4.44820i) q^{56} +(-7.86557 + 4.34573i) q^{57} +(-11.1227 - 5.95467i) q^{58} +(5.24528 - 7.85011i) q^{59} +(-2.90473 + 0.921136i) q^{60} +(4.01516 + 0.798665i) q^{61} +(-3.60158 - 1.09514i) q^{62} +(-1.19025 - 5.22148i) q^{63} +(-1.59193 + 7.84001i) q^{64} -1.04444i q^{65} +(4.76055 + 0.881659i) q^{66} +(-1.21588 + 6.11263i) q^{67} +(-8.24105 + 1.62789i) q^{68} +(-6.18065 - 3.19408i) q^{69} +(1.04818 - 1.95788i) q^{70} +(8.97139 - 3.71607i) q^{71} +(4.19153 + 7.37774i) q^{72} +(-3.96854 - 1.64382i) q^{73} +(2.90733 + 3.54738i) q^{74} +(6.97457 - 2.22193i) q^{75} +(-0.0137615 + 10.3764i) q^{76} +(-2.93375 + 1.96027i) q^{77} +(-2.84466 + 0.605049i) q^{78} +(3.91615 + 3.91615i) q^{79} +(-0.695616 + 3.44926i) q^{80} +(8.49330 + 2.97721i) q^{81} +(11.4080 + 9.37494i) q^{82} +(7.85219 - 5.24667i) q^{83} +(-5.93971 - 1.72063i) q^{84} +(-3.62377 + 0.720813i) q^{85} +(-0.689631 + 6.95466i) q^{86} +(-4.27966 + 14.8473i) q^{87} +(3.55516 - 4.31444i) q^{88} +(7.76699 - 3.21719i) q^{89} +(1.84790 + 3.24256i) q^{90} +(1.17754 - 1.76231i) q^{91} +(-6.68551 + 4.45430i) q^{92} +(-0.388144 + 4.59406i) q^{93} +(-2.25416 - 4.22397i) q^{94} +4.56394i q^{95} +(9.79741 - 0.103573i) q^{96} +2.84961i q^{97} +(-4.75769 + 2.53899i) q^{98} +(-0.164664 - 5.92732i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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