LMFDB - Embedded newform 192.2.s.a.11.28

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			11.28
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.35305 - 0.411422i) q^{2} +(-0.525755 - 1.65033i) q^{3} +(1.66146 - 1.11334i) q^{4} +(-0.731423 + 0.488721i) q^{5} +(-1.39035 - 2.01666i) q^{6} +(0.683144 - 1.64925i) q^{7} +(1.78998 - 2.18997i) q^{8} +(-2.44716 + 1.73534i) q^{9} +O(q^{10})$	\(q+(1.35305 - 0.411422i) q^{2} +(-0.525755 - 1.65033i) q^{3} +(1.66146 - 1.11334i) q^{4} +(-0.731423 + 0.488721i) q^{5} +(-1.39035 - 2.01666i) q^{6} +(0.683144 - 1.64925i) q^{7} +(1.78998 - 2.18997i) q^{8} +(-2.44716 + 1.73534i) q^{9} +(-0.788578 + 0.962186i) q^{10} +(-0.385603 + 1.93856i) q^{11} +(-2.71091 - 2.15661i) q^{12} +(-0.659632 + 0.987209i) q^{13} +(0.245785 - 2.51258i) q^{14} +(1.19110 + 0.950140i) q^{15} +(1.52093 - 3.69957i) q^{16} +(2.96995 + 2.96995i) q^{17} +(-2.59717 + 3.35481i) q^{18} +(2.88241 - 4.31384i) q^{19} +(-0.671118 + 1.62632i) q^{20} +(-3.08098 - 0.260306i) q^{21} +(0.275827 + 2.78160i) q^{22} +(1.53714 + 3.71099i) q^{23} +(-4.55526 - 1.80267i) q^{24} +(-1.61729 + 3.90447i) q^{25} +(-0.486353 + 1.60713i) q^{26} +(4.15048 + 3.12626i) q^{27} +(-0.701171 - 3.50075i) q^{28} +(-8.74967 + 1.74042i) q^{29} +(2.00252 + 0.795538i) 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} +(-2.13384 + 5.60774i) q^{36} +(-2.69661 + 1.80182i) q^{37} +(2.12523 - 7.02271i) q^{38} +(1.97602 + 0.569579i) q^{39} +(-0.238950 + 2.47660i) q^{40} +(9.64627 - 3.99562i) q^{41} +(-4.27580 + 0.915375i) q^{42} +(-0.964098 + 4.84685i) q^{43} +(1.51762 + 3.65015i) q^{44} +(0.941815 - 2.46525i) q^{45} +(3.60660 + 4.38872i) q^{46} +(-2.39391 + 2.39391i) q^{47} +(-6.90513 - 0.564960i) q^{48} +(2.69639 + 2.69639i) q^{49} +(-0.581876 + 5.94832i) q^{50} +(3.33993 - 6.46286i) q^{51} +(0.00314928 + 2.37461i) q^{52} +(-13.1496 - 2.61561i) q^{53} +(6.90200 + 2.52237i) q^{54} +(-0.665376 - 1.60636i) q^{55} +(-2.38900 - 4.44820i) q^{56} +(-8.63469 - 2.48890i) q^{57} +(-11.1227 + 5.95467i) q^{58} +(-5.24528 - 7.85011i) q^{59} +(3.03680 + 0.252518i) 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} +(4.44554 - 1.91765i) q^{66} +(-1.21588 - 6.11263i) q^{67} +(8.24105 + 1.62789i) q^{68} +(5.31618 - 4.48786i) q^{69} +(1.04818 + 1.95788i) q^{70} +(-8.97139 - 3.71607i) q^{71} +(-0.580043 + 8.46543i) q^{72} +(-3.96854 + 1.64382i) q^{73} +(-2.90733 + 3.54738i) q^{74} +(7.29396 + 0.616254i) q^{75} +(-0.0137615 - 10.3764i) q^{76} +(2.93375 + 1.96027i) q^{77} +(2.90799 - 0.0423136i) q^{78} +(3.91615 - 3.91615i) q^{79} +(0.695616 + 3.44926i) q^{80} +(2.97721 - 8.49330i) q^{81} +(11.4080 - 9.37494i) q^{82} +(-7.85219 - 5.24667i) q^{83} +(-5.40874 + 2.99770i) q^{84} +(-3.62377 - 0.720813i) q^{85} +(0.689631 + 6.95466i) q^{86} +(7.47245 + 13.5248i) q^{87} +(3.55516 + 4.31444i) q^{88} +(-7.76699 - 3.21719i) q^{89} +(0.260062 - 3.72307i) q^{90} +(1.17754 + 1.76231i) q^{91} +(6.68551 + 4.45430i) q^{92} +(-1.39947 - 4.39289i) q^{93} +(-2.25416 + 4.22397i) q^{94} +4.56394i q^{95} +(-9.57539 + 2.07650i) q^{96} -2.84961i q^{97} +(4.75769 + 2.53899i) q^{98} +(-2.42042 - 5.41312i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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
$3$	−0.525755	−	1.65033i	−0.303545	−	0.952817i
$3$	−0.525755	−	1.65033i	−0.303545	−	0.952817i
$4$	1.66146	−	1.11334i	0.830732	−	0.556672i
$5$	−0.731423	+	0.488721i	−0.327102	+	0.218563i	−0.708267	−	0.705944i	$-0.750523\pi$
$5$	−0.731423	+	0.488721i	−0.327102	+	0.218563i	0.381165	+	0.924507i	$0.375523\pi$
$6$	−1.39035	−	2.01666i	−0.567609	−	0.823298i
$7$	0.683144	−	1.64925i	0.258204	−	0.623360i	−0.740616	−	0.671929i	$-0.765466\pi$
$7$	0.683144	−	1.64925i	0.258204	−	0.623360i	0.998820	+	0.0485690i	$0.0154661\pi$
$8$	1.78998	−	2.18997i	0.632854	−	0.774271i
$9$	−2.44716	+	1.73534i	−0.815721	+	0.578446i
$10$	−0.788578	+	0.962186i	−0.249370	+	0.304270i
$11$	−0.385603	+	1.93856i	−0.116264	+	0.584497i	0.878100	+	0.478477i	$0.158811\pi$
$11$	−0.385603	+	1.93856i	−0.116264	+	0.584497i	−0.994364	+	0.106021i	$0.966189\pi$
$12$	−2.71091	−	2.15661i	−0.782572	−	0.622561i
$13$	−0.659632	+	0.987209i	−0.182949	+	0.273803i	−0.911596	−	0.411087i	$-0.865149\pi$
$13$	−0.659632	+	0.987209i	−0.182949	+	0.273803i	0.728647	+	0.684889i	$0.240149\pi$
$14$	0.245785	−	2.51258i	0.0656888	−	0.671515i
$15$	1.19110	+	0.950140i	0.307541	+	0.245325i
$16$	1.52093	−	3.69957i	0.380232	−	0.924891i
$17$	2.96995	+	2.96995i	0.720319	+	0.720319i	0.968670	−	0.248351i	$-0.0798886\pi$
$17$	2.96995	+	2.96995i	0.720319	+	0.720319i	−0.248351	+	0.968670i	$0.579889\pi$
$18$	−2.59717	+	3.35481i	−0.612158	+	0.790735i
$19$	2.88241	−	4.31384i	0.661271	−	0.989662i	−0.337559	−	0.941304i	$-0.609601\pi$
$19$	2.88241	−	4.31384i	0.661271	−	0.989662i	0.998830	−	0.0483579i	$-0.0153988\pi$
$20$	−0.671118	+	1.62632i	−0.150067	+	0.363656i
$21$	−3.08098	−	0.260306i	−0.672324	−	0.0568035i
$22$	0.275827	+	2.78160i	0.0588064	+	0.593040i
$23$	1.53714	+	3.71099i	0.320516	+	0.773794i	0.999224	+	0.0393859i	$0.0125402\pi$
$23$	1.53714	+	3.71099i	0.320516	+	0.773794i	−0.678708	+	0.734408i	$0.737460\pi$
$24$	−4.55526	−	1.80267i	−0.929838	−	0.367968i
$25$	−1.61729	+	3.90447i	−0.323457	+	0.780895i
$26$	−0.486353	+	1.60713i	−0.0953816	+	0.315183i
$27$	4.15048	+	3.12626i	0.798761	+	0.601648i
$28$	−0.701171	−	3.50075i	−0.132509	−	0.661580i
$29$	−8.74967	+	1.74042i	−1.62477	+	0.323188i	−0.921692	−	0.387922i	$-0.873193\pi$
$29$	−8.74967	+	1.74042i	−1.62477	+	0.323188i	−0.703081	+	0.711109i	$0.748193\pi$
$30$	2.00252	+	0.795538i	0.365609	+	0.145245i
$31$	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
$36$	−2.13384	+	5.60774i	−0.355641	+	0.934623i
$37$	−2.69661	+	1.80182i	−0.443320	+	0.296217i	−0.757124	−	0.653271i	$-0.773396\pi$
$37$	−2.69661	+	1.80182i	−0.443320	+	0.296217i	0.313805	+	0.949488i	$0.398396\pi$
$38$	2.12523	−	7.02271i	0.344758	−	1.13923i
$39$	1.97602	+	0.569579i	0.316417	+	0.0912056i
$40$	−0.238950	+	2.47660i	−0.0377813	+	0.391584i
$41$	9.64627	−	3.99562i	1.50649	−	0.624011i	0.531664	−	0.846955i	$-0.321567\pi$
$41$	9.64627	−	3.99562i	1.50649	−	0.624011i	0.974831	+	0.222945i	$0.0715670\pi$
$42$	−4.27580	+	0.915375i	−0.659770	+	0.141245i
$43$	−0.964098	+	4.84685i	−0.147024	+	0.739138i	0.834981	+	0.550279i	$0.185479\pi$
$43$	−0.964098	+	4.84685i	−0.147024	+	0.739138i	−0.982004	+	0.188858i	$0.939521\pi$
$44$	1.51762	+	3.65015i	0.228790	+	0.550282i
$45$	0.941815	−	2.46525i	0.140397	−	0.367497i
$46$	3.60660	+	4.38872i	0.531764	+	0.647081i
$47$	−2.39391	+	2.39391i	−0.349187	+	0.349187i	−0.859807	−	0.510620i	$-0.829416\pi$
$47$	−2.39391	+	2.39391i	−0.349187	+	0.349187i	0.510620	+	0.859807i	$0.329416\pi$
$48$	−6.90513	−	0.564960i	−0.996670	−	0.0815450i
$49$	2.69639	+	2.69639i	0.385199	+	0.385199i
$50$	−0.581876	+	5.94832i	−0.0822896	+	0.841219i
$51$	3.33993	−	6.46286i	0.467683	−	0.904982i
$52$	0.00314928	+	2.37461i	0.000436726	+	0.329299i
$53$	−13.1496	−	2.61561i	−1.80623	−	0.359282i	−0.827030	−	0.562158i	$-0.809971\pi$
$53$	−13.1496	−	2.61561i	−1.80623	−	0.359282i	−0.979205	+	0.202876i	$0.934971\pi$
$54$	6.90200	+	2.52237i	0.939244	+	0.343251i
$55$	−0.665376	−	1.60636i	−0.0897192	−	0.216601i
$56$	−2.38900	−	4.44820i	−0.319244	−	0.594416i
$57$	−8.63469	−	2.48890i	−1.14369	−	0.329663i
$58$	−11.1227	+	5.95467i	−1.46048	+	0.781887i
$59$	−5.24528	−	7.85011i	−0.682877	−	1.02200i	−0.997352	−	0.0727319i	$-0.976828\pi$
$59$	−5.24528	−	7.85011i	−0.682877	−	1.02200i	0.314474	−	0.949266i	$-0.398172\pi$
$60$	3.03680	+	0.252518i	0.392050	+	0.0326000i
$61$	4.01516	−	0.798665i	0.514088	−	0.102259i	0.0687730	−	0.997632i	$-0.478092\pi$
$61$	4.01516	−	0.798665i	0.514088	−	0.102259i	0.445315	+	0.895374i	$0.353092\pi$
$62$	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
$66$	4.44554	−	1.91765i	0.547208	−	0.236046i
$67$	−1.21588	−	6.11263i	−0.148543	−	0.746777i	−0.981201	−	0.192989i	$-0.938182\pi$
$67$	−1.21588	−	6.11263i	−0.148543	−	0.746777i	0.832658	−	0.553788i	$-0.186818\pi$
$68$	8.24105	+	1.62789i	0.999374	+	0.197410i
$69$	5.31618	−	4.48786i	0.639993	−	0.540274i
$70$	1.04818	+	1.95788i	0.125281	+	0.234011i
$71$	−8.97139	−	3.71607i	−1.06471	−	0.441017i	−0.219588	−	0.975593i	$-0.570471\pi$
$71$	−8.97139	−	3.71607i	−1.06471	−	0.441017i	−0.845120	+	0.534576i	$0.820471\pi$
$72$	−0.580043	+	8.46543i	−0.0683587	+	0.997661i
$73$	−3.96854	+	1.64382i	−0.464482	+	0.192395i	−0.602636	−	0.798016i	$-0.705883\pi$
$73$	−3.96854	+	1.64382i	−0.464482	+	0.192395i	0.138154	+	0.990411i	$0.455883\pi$
$74$	−2.90733	+	3.54738i	−0.337970	+	0.412375i
$75$	7.29396	+	0.616254i	0.842234	+	0.0711589i
$76$	−0.0137615	−	10.3764i	−0.00157855	−	1.19026i
$77$	2.93375	+	1.96027i	0.334332	+	0.223394i
$78$	2.90799	−	0.0423136i	0.329265	−	0.00479108i
$79$	3.91615	−	3.91615i	0.440601	−	0.440601i	−0.451613	−	0.892214i	$-0.649151\pi$
$79$	3.91615	−	3.91615i	0.440601	−	0.440601i	0.892214	+	0.451613i	$0.149151\pi$
$80$	0.695616	+	3.44926i	0.0777722	+	0.385639i
$81$	2.97721	−	8.49330i	0.330801	−	0.943701i
$82$	11.4080	−	9.37494i	1.25980	−	1.03529i
$83$	−7.85219	−	5.24667i	−0.861890	−	0.575897i	0.0441802	−	0.999024i	$-0.485932\pi$
$83$	−7.85219	−	5.24667i	−0.861890	−	0.575897i	−0.906070	+	0.423127i	$0.860932\pi$
$84$	−5.40874	+	2.99770i	−0.590142	+	0.327076i
$85$	−3.62377	−	0.720813i	−0.393053	−	0.0781831i
$86$	0.689631	+	6.95466i	0.0743648	+	0.749940i
$87$	7.47245	+	13.5248i	0.801131	+	1.45001i
$88$	3.55516	+	4.31444i	0.378981	+	0.459921i
$89$	−7.76699	−	3.21719i	−0.823299	−	0.341022i	−0.0690524	−	0.997613i	$-0.521998\pi$
$89$	−7.76699	−	3.21719i	−0.823299	−	0.341022i	−0.754246	+	0.656591i	$0.771998\pi$
$90$	0.260062	−	3.72307i	0.0274130	−	0.392446i
$91$	1.17754	+	1.76231i	0.123439	+	0.184740i
$92$	6.68551	+	4.45430i	0.697013	+	0.464393i
$93$	−1.39947	−	4.39289i	−0.145118	−	0.455522i
$94$	−2.25416	+	4.22397i	−0.232499	+	0.435669i
$95$			4.56394i			0.468250i
$96$	−9.57539	+	2.07650i	−0.977284	+	0.211932i
$97$		−	2.84961i		−	0.289335i	−0.989480	−	0.144667i	$-0.953789\pi$
$97$		−	2.84961i		−	0.289335i	0.989480	−	0.144667i	$-0.0462112\pi$
$98$	4.75769	+	2.53899i	0.480600	+	0.256476i
$99$	−2.42042	−	5.41312i	−0.243261	−	0.544039i
$100$	1.65996	+	8.28774i	0.165996	+	0.828774i
$101$	3.25049	+	4.86470i	0.323436	+	0.484056i	0.957183	−	0.289485i	$-0.0934839\pi$
$101$	3.25049	+	4.86470i	0.323436	+	0.484056i	−0.633747	+	0.773540i	$0.718484\pi$
$102$	1.86011	−	10.1187i	0.184178	−	1.00190i
$103$	−14.4703	−	5.99378i	−1.42580	−	0.590585i	−0.469488	−	0.882939i	$-0.655562\pi$
$103$	−14.4703	−	5.99378i	−1.42580	−	0.590585i	−0.956310	+	0.292354i	$0.905562\pi$
$104$	0.981228	+	3.21166i	0.0962173	+	0.314929i
$105$	2.38072	−	1.31535i	0.232334	−	0.128365i
$106$	−18.8681	+	1.87098i	−1.83263	+	0.181726i
$107$	10.5840	+	2.10528i	1.02319	+	0.203525i	0.678042	−	0.735023i	$-0.262829\pi$
$107$	10.5840	+	2.10528i	1.02319	+	0.203525i	0.345149	+	0.938548i	$0.387829\pi$
$108$	10.3765	+	0.573244i	0.998478	+	0.0551605i
$109$	13.0385	+	8.71203i	1.24886	+	0.834461i	0.991277	−	0.131795i	$-0.0420742\pi$
$109$	13.0385	+	8.71203i	1.24886	+	0.834461i	0.257582	+	0.966256i	$0.417074\pi$
$110$	−1.56117	−	1.89973i	−0.148852	−	0.181132i
$111$	4.39134	+	3.50297i	0.416808	+	0.332487i
$112$	−5.06252	−	5.03573i	−0.478363	−	0.475832i
$113$	3.65177	−	3.65177i	0.343529	−	0.343529i	−0.514163	−	0.857692i	$-0.671897\pi$
$113$	3.65177	−	3.65177i	0.343529	−	0.343529i	0.857692	+	0.514163i	$0.171897\pi$
$114$	−12.7071	+	0.184899i	−1.19013	+	0.0173174i
$115$	−2.93794	−	1.96307i	−0.273964	−	0.183057i
$116$	−12.5996	+	12.6330i	−1.16984	+	1.17295i
$117$	−0.0989138	−	3.56055i	−0.00914459	−	0.329173i
$118$	−10.3268	−	8.46354i	−0.950660	−	0.779132i
$119$	6.92711	−	2.86930i	0.635007	−	0.263029i
$120$	4.21282	−	0.907738i	0.384576	−	0.0828648i
$121$	6.55336	+	2.71449i	0.595760	+	0.246772i
$122$	5.10410	−	2.73255i	0.462104	−	0.247394i
$123$	−11.6657	−	13.8188i	−1.05186	−	1.24600i
$124$	4.42254	−	2.96354i	0.397155	−	0.266133i
$125$	−1.58336	−	7.96009i	−0.141620	−	0.711972i
$126$	3.75869	+	6.57521i	0.334851	+	0.585766i
$127$		−	5.00869i		−	0.444449i	−0.974995	−	0.222225i	$-0.928668\pi$
$127$		−	5.00869i		−	0.444449i	0.974995	−	0.222225i	$-0.0713318\pi$
$128$	−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	$-0.288564\pi$
$131$	17.0232	−	3.38612i	1.48732	−	0.295847i	0.870857	+	0.491536i	$0.163564\pi$
$132$	5.22606	−	4.42366i	0.454870	−	0.385030i
$133$	−5.14552	−	7.70081i	−0.446173	−	0.667745i
$134$	−4.16001	−	7.77043i	−0.359370	−	0.671263i
$135$	−4.56363	−	0.258187i	−0.392775	−	0.0222212i
$136$	11.8203	−	1.18794i	1.01358	−	0.101865i
$137$	5.61514	+	13.5561i	0.479733	+	1.15818i	0.959734	+	0.280911i	$0.0906365\pi$
$137$	5.61514	+	13.5561i	0.479733	+	1.15818i	−0.480001	+	0.877268i	$0.659364\pi$
$138$	5.34663	−	8.25947i	0.455136	−	0.703093i
$139$	−14.3788	−	2.86012i	−1.21959	−	0.242592i	−0.456998	−	0.889468i	$-0.651075\pi$
$139$	−14.3788	−	2.86012i	−1.21959	−	0.242592i	−0.762595	+	0.646876i	$0.776075\pi$
$140$	2.22374	+	2.21785i	0.187941	+	0.187443i
$141$	5.20934	+	2.69212i	0.438706	+	0.226718i
$142$	−13.6676	−	1.33699i	−1.14696	−	0.112198i
$143$	−1.65941	−	1.65941i	−0.138767	−	0.138767i
$144$	2.69804	+	11.6928i	0.224837	+	0.974396i
$145$	5.54913	−	5.54913i	0.460830	−	0.460830i
$146$	−4.69331	+	3.85691i	−0.388421	+	0.319200i
$147$	3.03229	−	5.86757i	0.250099	−	0.483949i
$148$	−2.47428	+	5.99591i	−0.203384	+	0.492861i
$149$	0.129066	−	0.648857i	0.0105735	−	0.0531564i	−0.975138	−	0.221597i	$-0.928873\pi$
$149$	0.129066	−	0.648857i	0.0105735	−	0.0531564i	0.985712	+	0.168440i	$0.0538731\pi$
$150$	10.1226	−	2.16707i	0.826507	−	0.176941i
$151$	−22.6443	+	9.37957i	−1.84277	+	0.763299i	−0.893270	+	0.449520i	$0.851595\pi$
$151$	−22.6443	+	9.37957i	−1.84277	+	0.763299i	−0.949496	+	0.313779i	$0.898405\pi$
$152$	−4.28770	−	14.0341i	−0.347778	−	1.13832i
$153$	−12.4218	−	2.11409i	−1.00424	−	0.170914i
$154$	4.77600	+	1.44533i	0.384861	+	0.116468i
$155$	−1.94692	+	1.30089i	−0.156381	+	0.104490i
$156$	3.91723	−	1.25366i	0.313629	−	0.100373i
$157$	4.05454	+	20.3835i	0.323587	+	1.62678i	0.709821	+	0.704382i	$0.248776\pi$
$157$	4.05454	+	20.3835i	0.323587	+	1.62678i	−0.386234	+	0.922401i	$0.626224\pi$
$158$	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
$162$	0.533969	−	12.7167i	0.0419526	−	0.999120i
$163$	5.41447	−	1.07701i	0.424094	−	0.0843576i	0.0215710	−	0.999767i	$-0.493133\pi$
$163$	5.41447	−	1.07701i	0.424094	−	0.0843576i	0.402523	+	0.915410i	$0.368133\pi$
$164$	11.5784	−	17.3782i	0.904124	−	1.35701i
$165$	−2.30119	+	1.94264i	−0.179148	+	0.151234i
$166$	−12.7830	−	3.86842i	−0.992151	−	0.300247i
$167$	2.33305	−	5.63248i	0.180537	−	0.435854i	−0.807541	−	0.589812i	$-0.799202\pi$
$167$	2.33305	−	5.63248i	0.180537	−	0.435854i	0.988077	+	0.153958i	$0.0492019\pi$
$168$	−6.08496	+	6.28130i	−0.469465	+	0.484613i
$169$	4.43542	+	10.7080i	0.341186	+	0.823696i
$170$	−5.19968	+	0.515606i	−0.398798	+	0.0395452i
$171$	0.432227	+	15.5586i	0.0330532	+	1.18980i
$172$	3.79440	+	9.12624i	0.289320	+	0.695869i
$173$	−6.81742	+	10.2030i	−0.518318	+	0.775718i	−0.994623	−	0.103562i	$-0.966976\pi$
$173$	−6.81742	+	10.2030i	−0.518318	+	0.775718i	0.476305	+	0.879280i	$0.341976\pi$
$174$	15.6750	+	15.2253i	1.18832	+	1.15423i
$175$	5.33463	+	5.33463i	0.403260	+	0.403260i
$176$	6.58535	+	4.37497i	0.496389	+	0.329776i
$177$	−10.1975	+	12.7837i	−0.766493	+	0.960879i
$178$	−11.8327	−	1.15750i	−0.886899	−	0.0867581i
$179$	−8.68204	+	12.9936i	−0.648926	+	0.971186i	0.350475	+	0.936572i	$0.386020\pi$
$179$	−8.68204	+	12.9936i	−0.648926	+	0.971186i	−0.999401	+	0.0346142i	$0.988980\pi$
$180$	−1.17988	−	5.14448i	−0.0879429	−	0.383447i
$181$	4.53048	−	22.7763i	0.336748	−	1.69295i	−0.327027	−	0.945015i	$-0.606047\pi$
$181$	4.53048	−	22.7763i	0.336748	−	1.69295i	0.663775	−	0.747932i	$-0.268953\pi$
$182$	2.31831	+	1.90002i	0.171845	+	0.140839i
$183$	−3.42905	−	6.20643i	−0.253483	−	0.458792i
$184$	10.8784	+	3.27631i	0.801966	+	0.241533i
$185$	1.09178	−	2.63578i	0.0802689	−	0.193786i
$186$	−3.70088	−	5.36801i	−0.271362	−	0.393602i
$187$	−6.90265	+	4.61220i	−0.504772	+	0.337278i
$188$	−1.31215	+	6.64264i	−0.0956981	+	0.484464i
$189$	7.99137	−	4.70952i	0.581287	−	0.342567i
$190$	1.87770	+	6.17522i	0.136223	+	0.447997i
$191$	−6.04402			−0.437330			−0.218665	−	0.975800i	$-0.570170\pi$
$191$	−6.04402			−0.437330			−0.218665	+	0.975800i	$0.570170\pi$
$192$	−12.1016	+	6.74913i	−0.873359	+	0.487077i
$193$	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
$195$	−1.72367	+	0.549122i	−0.123435	+	0.0393234i
$196$	7.48197	+	1.47794i	0.534426	+	0.105567i
$197$	4.33698	−	2.89788i	0.308997	−	0.206465i	−0.391396	−	0.920222i	$-0.628008\pi$
$197$	4.33698	−	2.89788i	0.308997	−	0.206465i	0.700393	+	0.713757i	$0.253008\pi$
$198$	−5.50201	−	6.32838i	−0.391011	−	0.449739i
$199$	−4.67695	+	11.2912i	−0.331540	+	0.800409i	0.666930	+	0.745120i	$0.267608\pi$
$199$	−4.67695	+	11.2912i	−0.331540	+	0.800409i	−0.998470	+	0.0552885i	$0.982392\pi$
$200$	5.65576	+	10.5307i	0.399923	+	0.744636i
$201$	−9.44859	+	5.22035i	−0.666452	+	0.368215i
$202$	6.39950	+	5.24484i	0.450267	+	0.369026i
$203$	−3.10689	+	15.6194i	−0.218061	+	1.09627i
$204$	−1.64623	−	14.4563i	−0.115259	−	1.01214i
$205$	−5.10276	+	7.63683i	−0.356393	+	0.533379i
$206$	−22.0449	−	2.15648i	−1.53594	−	0.150249i
$207$	−10.2014	−	6.41393i	−0.709049	−	0.445799i
$208$	2.64899	+	3.94182i	0.183675	+	0.273316i
$209$	7.25116	+	7.25116i	0.501573	+	0.501573i
$210$	2.68005	−	2.75920i	0.184941	−	0.190403i
$211$	−1.47845	+	2.21265i	−0.101780	+	0.152325i	−0.878864	−	0.477072i	$-0.841698\pi$
$211$	−1.47845	+	2.21265i	−0.101780	+	0.152325i	0.777084	+	0.629397i	$0.216698\pi$
$212$	−24.7596	+	10.2943i	−1.70050	+	0.707014i
$213$	−1.41598	+	16.7595i	−0.0970213	+	1.14834i
$214$	15.1868	−	1.50593i	1.03814	−	0.102943i
$215$	−1.66359	−	4.01627i	−0.113456	−	0.273908i
$216$	14.2757	−	3.49349i	0.971338	−	0.237702i
$217$	1.81841	−	4.39004i	0.123442	−	0.298015i
$218$	21.2260	+	6.42346i	1.43760	+	0.435052i
$219$	4.79933	+	5.68514i	0.324308	+	0.384166i
$220$	−2.89393	−	1.92811i	−0.195109	−	0.129993i
$221$	−4.89104	+	0.972888i	−0.329007	+	0.0654435i
$222$	7.38289	+	2.93299i	0.495507	+	0.196849i
$223$	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	0.869162	+	0.494527i	$0.164659\pi$
$227$	3.84811	+	19.3458i	0.255408	+	1.28402i	−0.613754	+	0.789497i	$0.710341\pi$
$228$	−17.1172	+	5.47816i	−1.13362	+	0.362800i
$229$	14.0022	−	9.35598i	0.925292	−	0.618260i	0.00102184	−	0.999999i	$-0.499675\pi$
$229$	14.0022	−	9.35598i	0.925292	−	0.618260i	0.924270	+	0.381739i	$0.124675\pi$
$230$	−4.78281	−	1.44739i	−0.315369	−	0.0954379i
$231$	1.69265	−	5.87228i	0.111368	−	0.386368i
$232$	−11.8503	+	22.2768i	−0.778010	+	1.46255i
$233$	17.8878	−	7.40939i	1.17187	−	0.485405i	0.290061	−	0.957008i	$-0.406325\pi$
$233$	17.8878	−	7.40939i	1.17187	−	0.485405i	0.881811	+	0.471603i	$0.156325\pi$
$234$	−1.59872	−	4.77688i	−0.104512	−	0.312275i
$235$	0.581006	−	2.92091i	0.0379006	−	0.190539i
$236$	−17.4547	−	7.20288i	−1.13621	−	0.468867i
$237$	−8.52186	−	4.40399i	−0.553554	−	0.286070i
$238$	8.19220	−	6.73226i	0.531022	−	0.436388i
$239$	21.3101	−	21.3101i	1.37844	−	1.37844i	0.531171	−	0.847265i	$-0.321752\pi$
$239$	21.3101	−	21.3101i	1.37844	−	1.37844i	0.847265	−	0.531171i	$-0.178248\pi$
$240$	5.32668	−	2.96146i	0.343836	−	0.191161i
$241$	−13.2100	−	13.2100i	−0.850928	−	0.850928i	0.139319	−	0.990248i	$-0.455509\pi$
$241$	−13.2100	−	13.2100i	−0.850928	−	0.850928i	−0.990248	+	0.139319i	$0.955509\pi$
$242$	9.98379	+	0.976633i	0.641782	+	0.0627804i
$243$	−15.5820	−	0.447971i	−0.999587	−	0.0287374i
$244$	5.78185	−	5.79721i	0.370145	−	0.371128i
$245$	−3.28999	−	0.654419i	−0.210189	−	0.0418093i
$246$	−21.4695	−	13.8980i	−1.36885	−	0.886101i
$247$	2.35733	+	5.69109i	0.149993	+	0.362116i
$248$	4.76463	−	5.82933i	0.302554	−	0.370163i
$249$	−4.53039	+	15.7172i	−0.287102	+	0.996034i
$250$	−5.41731	−	10.1189i	−0.342621	−	0.639977i
$251$	7.74513	+	11.5914i	0.488868	+	0.731643i	0.991104	−	0.133088i	$-0.0424892\pi$
$251$	7.74513	+	11.5914i	0.488868	+	0.731643i	−0.502236	+	0.864731i	$0.667489\pi$
$252$	7.79087	+	7.35014i	0.490778	+	0.463016i
$253$	−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	$-0.124290\pi$
$258$	11.1149	−	4.79457i	0.691983	−	0.298497i
$259$	1.12948	+	5.67829i	0.0701827	+	0.352832i
$260$	−1.16283	−	1.73531i	−0.0721154	−	0.107619i
$261$	18.3917	−	19.4427i	1.13842	−	1.20347i
$262$	21.6400	−	11.5853i	1.33692	−	0.715741i
$263$	−17.5876	−	7.28501i	−1.08450	−	0.449213i	−0.232412	−	0.972617i	$-0.574662\pi$
$263$	−17.5876	−	7.28501i	−1.08450	−	0.449213i	−0.852084	+	0.523404i	$0.824662\pi$
$264$	5.25110	−	8.13552i	0.323183	−	0.500707i
$265$	10.8962	−	4.51336i	0.669349	−	0.277254i
$266$	−10.1304	−	8.30257i	−0.621135	−	0.509063i
$267$	−1.22588	+	14.5095i	−0.0750229	+	0.887969i
$268$	−8.82560	−	8.80223i	−0.539110	−	0.537681i
$269$	17.2261	+	11.5101i	1.05030	+	0.701786i	0.955883	−	0.293748i	$-0.0949025\pi$
$269$	17.2261	+	11.5101i	1.05030	+	0.701786i	0.0944132	+	0.995533i	$0.469903\pi$
$270$	−6.28102	+	1.52824i	−0.382251	+	0.0930056i
$271$	11.2337	−	11.2337i	0.682398	−	0.682398i	−0.278142	−	0.960540i	$-0.589719\pi$
$271$	11.2337	−	11.2337i	0.682398	−	0.682398i	0.960540	+	0.278142i	$0.0897185\pi$
$272$	15.5046	−	6.47045i	0.940105	−	0.392329i
$273$	2.28929	−	2.86986i	0.138554	−	0.173692i
$274$	13.1748	+	16.0319i	0.795920	+	0.968521i
$275$	−6.94542	−	4.64078i	−0.418825	−	0.279850i
$276$	3.83611	−	13.3752i	0.230907	−	0.805090i
$277$	−4.73459	−	0.941769i	−0.284474	−	0.0565854i	0.0507908	−	0.998709i	$-0.483826\pi$
$277$	−4.73459	−	0.941769i	−0.284474	−	0.0565854i	−0.335265	+	0.942124i	$0.608826\pi$
$278$	−20.6319	+	2.04588i	−1.23742	+	0.122704i
$279$	−6.51393	+	4.61917i	−0.389979	+	0.276543i
$280$	3.92130	+	2.08596i	0.234343	+	0.124660i
$281$	−16.5631	−	6.86065i	−0.988070	−	0.409272i	−0.170661	−	0.985330i	$-0.554590\pi$
$281$	−16.5631	−	6.86065i	−0.988070	−	0.409272i	−0.817409	+	0.576058i	$0.804590\pi$
$282$	8.15607	+	1.49933i	0.485687	+	0.0892836i
$283$	−10.5394	−	15.7733i	−0.626502	−	0.937626i	−0.999950	−	0.00997536i	$-0.996825\pi$
$283$	−10.5394	−	15.7733i	−0.626502	−	0.937626i	0.373448	−	0.927651i	$-0.378175\pi$
$284$	−19.0429	+	3.81413i	−1.12999	+	0.226327i
$285$	7.53199	−	2.39951i	0.446157	−	0.142135i
$286$	−2.92797	−	1.56254i	−0.173134	−	0.0923947i
$287$		−	18.6387i		−	1.10021i
$288$	8.46123	+	14.7108i	0.498583	+	0.866842i
$289$			0.641229i			0.0377193i
$290$	5.22520	−	9.79127i	0.306834	−	0.574963i
$291$	−4.70280	+	1.49820i	−0.275683	+	0.0878261i
$292$	−4.76344	+	7.14951i	−0.278759	+	0.418393i
$293$	−1.04807	−	1.56854i	−0.0612286	−	0.0916351i	0.799592	−	0.600544i	$-0.205049\pi$
$293$	−1.04807	−	1.56854i	−0.0612286	−	0.0916351i	−0.860821	+	0.508909i	$0.830049\pi$
$294$	1.68877	−	9.18664i	0.0984914	−	0.535776i
$295$	7.67304	+	3.17828i	0.446741	+	0.185046i
$296$	−0.880959	+	9.13071i	−0.0512047	+	0.530712i
$297$	−7.66087	+	6.84046i	−0.444529	+	0.396924i
$298$	−0.0923222	−	0.931033i	−0.00534808	−	0.0539333i
$299$	−4.67747	−	0.930406i	−0.270505	−	0.0538068i
$300$	12.8048	−	7.09681i	0.739283	−	0.409734i
$301$	7.33507	+	4.90114i	0.422787	+	0.282497i
$302$	−26.7798	+	22.0073i	−1.54100	+	1.26638i
$303$	6.31939	−	7.92201i	0.363039	−	0.455108i
$304$	−11.5754	−	17.2247i	−0.663894	−	0.987905i
$305$	−2.54646	+	2.54646i	−0.145810	+	0.145810i
$306$	−17.6771	+	2.25015i	−1.01053	+	0.128633i
$307$	18.7859	+	12.5523i	1.07217	+	0.716398i	0.960761	−	0.277377i	$-0.0894650\pi$
$307$	18.7859	+	12.5523i	1.07217	+	0.716398i	0.111405	+	0.993775i	$0.464465\pi$
$308$	7.05679	−	0.00935891i	0.402098	−	0.000533274i
$309$	−2.28388	+	27.0320i	−0.129926	+	1.53779i
$310$	−2.09906	+	2.56117i	−0.119219	+	0.145465i
$311$	22.2263	−	9.20645i	1.26034	−	0.522050i	0.350326	−	0.936628i	$-0.386071\pi$
$311$	22.2263	−	9.20645i	1.26034	−	0.522050i	0.910014	+	0.414578i	$0.136071\pi$
$312$	4.78441	−	3.30790i	0.270864	−	0.187273i
$313$	−0.620600	−	0.257061i	−0.0350784	−	0.0145300i	0.365075	−	0.930978i	$-0.381043\pi$
$313$	−0.620600	−	0.257061i	−0.0350784	−	0.0145300i	−0.400154	+	0.916448i	$0.631043\pi$
$314$	13.8722	+	25.9117i	0.782853	+	1.46228i
$315$	−3.42242	−	3.23741i	−0.192832	−	0.182407i
$316$	2.14652	−	10.8666i	0.120751	−	0.611292i
$317$	−4.99544	−	25.1138i	−0.280572	−	1.41053i	−0.821858	−	0.569692i	$-0.807063\pi$
$317$	−4.99544	−	25.1138i	−0.280572	−	1.41053i	0.541287	−	0.840838i	$-0.317937\pi$
$318$	13.0077	+	30.1549i	0.729438	+	1.69100i
$319$		−	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
$324$	−4.50945	−	17.4260i	−0.250525	−	0.968110i
$325$	−2.78772	−	4.17212i	−0.154635	−	0.231427i
$326$	6.88293	−	3.68487i	0.381210	−	0.204086i
$327$	7.52265	−	26.0981i	0.416004	−	1.44323i
$328$	8.51638	−	28.2771i	0.470238	−	1.56134i
$329$	2.31278	+	5.58355i	0.127508	+	0.307831i
$330$	−2.31438	+	3.57524i	−0.127402	+	0.196811i
$331$	5.77655	+	1.14903i	0.317508	+	0.0631563i	0.351272	−	0.936274i	$-0.385749\pi$
$331$	5.77655	+	1.14903i	0.317508	+	0.0631563i	−0.0337636	+	0.999430i	$0.510749\pi$
$332$	−18.8875	+	0.0250491i	−1.03659	+	0.00137475i
$333$	3.47228	−	9.08886i	0.190280	−	0.498067i
$334$	0.839396	−	8.58086i	0.0459297	−	0.469524i
$335$	3.87669	+	3.87669i	0.211806	+	0.211806i
$336$	−5.64896	+	11.0024i	−0.308176	+	0.600229i
$337$	−22.1894	+	22.1894i	−1.20873	+	1.20873i	−0.237295	+	0.971438i	$0.576261\pi$
$337$	−22.1894	+	22.1894i	−1.20873	+	1.20873i	−0.971438	+	0.237295i	$0.923739\pi$
$338$	10.4068	+	12.6636i	0.566058	+	0.688811i
$339$	−7.94654	−	4.10667i	−0.431597	−	0.223044i
$340$	−6.82328	+	2.83690i	−0.370044	+	0.153853i
$341$	−1.02641	+	5.16011i	−0.0555832	+	0.279436i
$342$	6.98598	+	20.8737i	0.377759	+	1.12872i
$343$	17.8338	−	7.38702i	0.962937	−	0.398862i
$344$	8.88873	+	10.7871i	0.479248	+	0.581603i
$345$	−1.69507	+	5.88065i	−0.0912594	+	0.316604i
$346$	−5.02654	+	16.6099i	−0.270229	+	0.892956i
$347$	3.29006	−	2.19835i	0.176620	−	0.118014i	−0.464118	−	0.885773i	$-0.653629\pi$
$347$	3.29006	−	2.19835i	0.176620	−	0.118014i	0.640738	+	0.767760i	$0.278629\pi$
$348$	27.4730	+	14.1515i	1.47271	+	0.758603i
$349$	−0.572654	−	2.87892i	−0.0306534	−	0.154105i	0.962427	−	0.271540i	$-0.0875329\pi$
$349$	−0.572654	−	2.87892i	−0.0306534	−	0.154105i	−0.993081	+	0.117435i	$0.962533\pi$
$350$	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	$-0.651221\pi$
$353$	−17.1877			−0.914807			−0.457404	+	0.889259i	$0.651221\pi$
$354$	−8.53824	+	21.4924i	−0.453802	+	1.14231i
$355$	8.37800	−	1.66649i	0.444658	−	0.0884480i
$356$	−16.4864	+	3.30209i	−0.873778	+	0.175010i
$357$	−8.37726	−	9.92345i	−0.443371	−	0.525205i
$358$	−6.40135	+	21.1529i	−0.338322	+	1.11797i
$359$	0.573946	−	1.38563i	0.0302917	−	0.0731307i	−0.908010	−	0.418949i	$-0.862399\pi$
$359$	0.573946	−	1.38563i	0.0302917	−	0.0731307i	0.938302	+	0.345818i	$0.112399\pi$
$360$	−3.71298	−	6.47529i	−0.195691	−	0.341278i
$361$	−3.02990	−	7.31483i	−0.159468	−	0.384991i
$362$	−3.24071	−	32.6813i	−0.170328	−	1.71769i
$363$	1.03433	−	12.2423i	0.0542885	−	0.642556i
$364$	3.91849	+	1.61701i	0.205385	+	0.0847542i
$365$	2.09931	−	3.14184i	0.109883	−	0.164451i
$366$	−7.19312	−	6.98679i	−0.375990	−	0.365205i
$367$	−0.597848	−	0.597848i	−0.0312074	−	0.0312074i	0.691331	−	0.722538i	$-0.257025\pi$
$367$	−0.597848	−	0.597848i	−0.0312074	−	0.0312074i	−0.722538	+	0.691331i	$0.757025\pi$
$368$	16.0669	−	0.0426169i	0.837546	−	0.00222156i
$369$	−16.6723	+	26.5175i	−0.867923	+	1.38044i
$370$	0.392805	−	4.01551i	0.0204209	−	0.208756i
$371$	−13.2969	+	19.9002i	−0.690339	+	1.03317i
$372$	−7.21598	−	5.74054i	−0.374131	−	0.297633i
$373$	−0.819626	+	4.12054i	−0.0424386	+	0.213353i	−0.996186	−	0.0872563i	$-0.972190\pi$
$373$	−0.819626	+	4.12054i	−0.0424386	+	0.213353i	0.953747	+	0.300610i	$0.0971901\pi$
$374$	−7.44204	+	9.08042i	−0.384819	+	0.469537i
$375$	−12.3043	+	6.79812i	−0.635391	+	0.351053i
$376$	0.957531	+	9.52763i	0.0493809	+	0.491350i
$377$	4.05341	−	9.78579i	0.208761	−	0.503994i
$378$	8.87509	−	9.66002i	0.456485	−	0.496858i
$379$	15.5395	−	10.3832i	0.798210	−	0.533347i	−0.0882793	−	0.996096i	$-0.528137\pi$
$379$	15.5395	−	10.3832i	0.798210	−	0.533347i	0.886489	+	0.462749i	$0.153137\pi$
$380$	5.08124	+	7.58282i	0.260662	+	0.388990i
$381$	−8.26598	+	2.63335i	−0.423479	+	0.134910i
$382$	−8.17783	+	2.48664i	−0.418414	+	0.127228i
$383$	−33.7000			−1.72199			−0.860995	−	0.508614i	$-0.830158\pi$
$383$	−33.7000			−1.72199			−0.860995	+	0.508614i	$0.830158\pi$
$384$	−13.5973	+	14.1108i	−0.693885	+	0.720086i
$385$	−3.10384			−0.158186
$386$	2.54738	−	0.774585i	0.129658	−	0.0394253i
$387$	−6.05161	−	13.5341i	−0.307621	−	0.687975i
$388$	−3.17260	−	4.73453i	−0.161065	−	0.240359i
$389$	8.49069	−	5.67330i	0.430495	−	0.287648i	−0.321384	−	0.946949i	$-0.604148\pi$
$389$	8.49069	−	5.67330i	0.430495	−	0.287648i	0.751879	+	0.659301i	$0.229148\pi$
$390$	−2.10629	+	1.45214i	−0.106656	+	0.0735322i
$391$	−6.45622	+	15.5867i	−0.326505	+	0.788252i
$392$	10.7315	−	1.07852i	0.542023	−	0.0544735i
$393$	−14.5382	−	26.3135i	−0.733357	−	1.32734i
$394$	4.67588	−	5.70529i	0.235567	−	0.287428i
$395$	−0.950456	+	4.77827i	−0.0478226	+	0.240421i
$396$	−10.0481	−	6.29894i	−0.504936	−	0.316534i
$397$	−8.55063	+	12.7969i	−0.429144	+	0.642259i	−0.981525	−	0.191332i	$-0.938719\pi$
$397$	−8.55063	+	12.7969i	−0.429144	+	0.642259i	0.552381	+	0.833592i	$0.313719\pi$
$398$	−1.68270	+	17.2016i	−0.0843460	+	0.862240i
$399$	−10.0036	+	12.5405i	−0.500805	+	0.627812i
$400$	11.9851	+	11.9217i	0.599254	+	0.596084i
$401$	11.2667	+	11.2667i	0.562633	+	0.562633i	0.930054	−	0.367422i	$-0.119759\pi$
$401$	11.2667	+	11.2667i	0.562633	+	0.562633i	−0.367422	+	0.930054i	$0.619759\pi$
$402$	−10.6366	+	10.9507i	−0.530506	+	0.546172i
$403$	−1.75583	+	2.62778i	−0.0874641	+	0.130899i
$404$	10.8167	+	4.46361i	0.538149	+	0.222073i
$405$	1.97326	+	7.66722i	0.0980520	+	0.380987i
$406$	2.22240	+	22.4120i	0.110296	+	1.11229i
$407$	−2.45310	−	5.92232i	−0.121596	−	0.293558i
$408$	−8.17506	−	18.8827i	−0.404726	−	0.934835i
$409$	0.575698	−	1.38986i	0.0284664	−	0.0687240i	−0.909007	−	0.416781i	$-0.863158\pi$
$409$	0.575698	−	1.38986i	0.0284664	−	0.0687240i	0.937474	+	0.348057i	$0.113158\pi$
$410$	−3.76231	+	12.4324i	−0.185807	+	0.613991i
$411$	19.4199	−	16.3940i	0.957912	−	0.808658i
$412$	−30.7150	+	6.15195i	−1.51322	+	0.303085i
$413$	−16.5301	+	3.28805i	−0.813394	+	0.161794i
$414$	−16.4418	−	4.48124i	−0.808073	−	0.220241i
$415$	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	−0.963941	−	0.266116i	$-0.914259\pi$
$419$	−3.58654	−	18.0308i	−0.175214	−	0.880860i	0.788727	−	0.614744i	$-0.210741\pi$
$420$	2.49104	−	4.83596i	0.121550	−	0.235970i
$421$	−19.2955	+	12.8928i	−0.940404	+	0.628358i	−0.928405	−	0.371570i	$-0.878819\pi$
$421$	−19.2955	+	12.8928i	−0.940404	+	0.628358i	−0.0119989	+	0.999928i	$0.503819\pi$
$422$	−1.09007	+	3.60208i	−0.0530639	+	0.175347i
$423$	1.70404	−	10.0125i	0.0828535	−	0.486825i
$424$	−29.2656	+	24.1153i	−1.42126	+	1.17114i
$425$	−16.3994	+	6.79284i	−0.795486	+	0.329501i
$426$	4.97933	+	23.2589i	0.241249	+	1.12690i
$427$	1.42573	−	7.16762i	0.0689959	−	0.346866i
$428$	19.9288	−	8.28576i	0.963294	−	0.400507i
$429$	−1.86612	+	3.61101i	−0.0900972	+	0.174341i
$430$	−3.90330	−	4.74976i	−0.188234	−	0.229054i
$431$	14.3376	−	14.3376i	0.690617	−	0.690617i	−0.271751	−	0.962368i	$-0.587603\pi$
$431$	14.3376	−	14.3376i	0.690617	−	0.690617i	0.962368	+	0.271751i	$0.0876026\pi$
$432$	17.8784	−	10.6002i	0.860174	−	0.510001i
$433$	0.421381	+	0.421381i	0.0202503	+	0.0202503i	0.717159	−	0.696909i	$-0.245442\pi$
$433$	0.421381	+	0.421381i	0.0202503	+	0.0202503i	−0.696909	+	0.717159i	$0.745442\pi$
$434$	0.654238	−	6.68805i	0.0314044	−	0.321037i
$435$	−12.0754	−	6.24040i	−0.578970	−	0.299204i
$436$	31.3624	−	0.0415938i	1.50199	−	0.00199198i
$437$	20.4393	+	4.06562i	0.977743	+	0.194485i
$438$	8.83270	+	5.71771i	0.422043	+	0.273203i
$439$	−1.36422	−	3.29352i	−0.0651108	−	0.157191i	0.887975	−	0.459892i	$-0.152112\pi$
$439$	−1.36422	−	3.29352i	−0.0651108	−	0.157191i	−0.953086	+	0.302701i	$0.902112\pi$
$440$	−4.70889	−	1.41820i	−0.224487	−	0.0676101i
$441$	−11.2777	−	1.91936i	−0.537031	−	0.0913981i
$442$	−6.21753	+	3.32864i	−0.295738	+	0.158327i
$443$	2.11097	+	3.15928i	0.100295	+	0.150102i	0.878223	−	0.478251i	$-0.158729\pi$
$443$	2.11097	+	3.15928i	0.100295	+	0.150102i	−0.777928	+	0.628353i	$0.783729\pi$
$444$	11.1961	+	0.930984i	0.531342	+	0.0441825i
$445$	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	$-0.261806\pi$
$450$	−8.89839	−	15.5662i	−0.419474	−	0.733800i
$451$	4.02610	+	20.2406i	0.189582	+	0.953092i
$452$	2.00160	−	10.1330i	0.0941475	−	0.476614i
$453$	27.3847	+	32.4391i	1.28665	+	1.52412i
$454$	13.1659	+	24.5925i	0.617908	+	1.15418i
$455$	−1.72255	−	0.713505i	−0.0807546	−	0.0334496i
$456$	−20.9066	+	14.4546i	−0.979040	+	0.676899i
$457$	0.554573	−	0.229712i	0.0259419	−	0.0107455i	−0.369675	−	0.929161i	$-0.620531\pi$
$457$	0.554573	−	0.229712i	0.0259419	−	0.0107455i	0.395617	+	0.918416i	$0.370531\pi$
$458$	15.0964	−	18.4199i	0.705407	−	0.860704i
$459$	3.04190	+	21.6116i	0.141984	+	1.00874i
$460$	−7.06685	+	0.00937226i	−0.329494	+	0.000436984i
$461$	25.4530	+	17.0072i	1.18547	+	0.792103i	0.982350	−	0.187052i	$-0.0598932\pi$
$461$	25.4530	+	17.0072i	1.18547	+	0.792103i	0.203116	+	0.979155i	$0.434893\pi$
$462$	−0.125746	−	8.64186i	−0.00585024	−	0.402056i
$463$	−5.70209	+	5.70209i	−0.264999	+	0.264999i	−0.827081	−	0.562083i	$-0.810000\pi$
$463$	−5.70209	+	5.70209i	−0.264999	+	0.264999i	0.562083	+	0.827081i	$0.310000\pi$
$464$	−6.86882	+	35.0170i	−0.318877	+	1.62563i
$465$	3.17051	+	2.52911i	0.147029	+	0.117285i
$466$	21.1547	−	17.3847i	0.979971	−	0.805330i
$467$	5.75749	+	3.84703i	0.266425	+	0.178019i	0.681606	−	0.731719i	$-0.261282\pi$
$467$	5.75749	+	3.84703i	0.266425	+	0.178019i	−0.415181	+	0.909739i	$0.636282\pi$
$468$	−4.12846	−	5.80559i	−0.190838	−	0.268364i
$469$	−10.9119	−	2.17051i	−0.503865	−	0.100225i
$470$	−0.415600	−	4.19117i	−0.0191702	−	0.193324i
$471$	31.5078	−	17.4081i	1.45180	−	0.802121i
$472$	−26.5805	−	2.56457i	−1.22346	−	0.118044i
$473$	−9.02414	−	3.73792i	−0.414931	−	0.171870i
$474$	−13.3424	−	2.45272i	−0.612835	−	0.112657i
$475$	12.1816	+	18.2310i	0.558929	+	0.836497i
$476$	8.31462	−	12.4795i	0.381100	−	0.571997i
$477$	36.7181	−	16.4181i	1.68121	−	0.751734i
$478$	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	$0.872413\pi$
$480$	5.98883	−	6.19850i	0.273351	−	0.282922i
$481$		−	3.85065i		−	0.175575i
$482$	−23.3085	−	12.4388i	−1.06167	−	0.566572i
$483$	−3.76990	−	11.8336i	−0.171537	−	0.538447i
$484$	13.9103	−	2.78612i	0.632288	−	0.126642i
$485$	1.39267	+	2.08427i	0.0632378	+	0.0946420i
$486$	−21.2675	+	5.80466i	−0.964713	+	0.263305i
$487$	15.8723	+	6.57454i	0.719245	+	0.297921i	0.712124	−	0.702054i	$-0.247733\pi$
$487$	15.8723	+	6.57454i	0.719245	+	0.297921i	0.00712078	+	0.999975i	$0.497733\pi$
$488$	5.43801	−	10.2227i	0.246167	−	0.462758i
$489$	−4.62410	−	8.36942i	−0.209109	−	0.378478i
$490$	−4.72074	+	0.468114i	−0.213261	+	0.0211472i
$491$	−12.4835	−	2.48313i	−0.563374	−	0.112062i	−0.0948158	−	0.995495i	$-0.530226\pi$
$491$	−12.4835	−	2.48313i	−0.563374	−	0.112062i	−0.468558	+	0.883433i	$0.655226\pi$
$492$	−34.7672	−	9.97153i	−1.56742	−	0.449551i
$493$	−31.1551	−	20.8172i	−1.40315	−	0.937557i
$494$	5.53101	+	6.73045i	0.248852	+	0.302817i
$495$	4.41586	+	2.77637i	0.198478	+	0.124789i
$496$	4.04845	−	9.84761i	0.181781	−	0.442171i
$497$	−12.2575	+	12.2575i	−0.549824	+	0.549824i
$498$	0.336560	+	23.1299i	0.0150816	+	1.03648i
$499$	−4.47018	−	2.98688i	−0.200113	−	0.133711i	0.451477	−	0.892283i	$-0.350897\pi$
$499$	−4.47018	−	2.98688i	−0.200113	−	0.133711i	−0.651589	+	0.758572i	$0.725897\pi$
$500$	−11.4930	−	11.4626i	−0.513983	−	0.512622i
$501$	−10.5220	−	0.888989i	−0.470090	−	0.0397171i
$502$	15.2485	+	12.4972i	0.680572	+	0.557776i
$503$	11.5844	−	4.79840i	0.516521	−	0.213950i	−0.109167	−	0.994023i	$-0.534818\pi$
$503$	11.5844	−	4.79840i	0.516521	−	0.213950i	0.625688	+	0.780073i	$0.284818\pi$
$504$	13.5654	+	6.73975i	0.604251	+	0.300212i
$505$	−4.75496	−	1.96957i	−0.211593	−	0.0876448i
$506$	−9.89851	+	5.29930i	−0.440042	+	0.235583i
$507$	15.3398	−	12.9497i	0.681266	−	0.575117i
$508$	−5.57640	−	8.32176i	−0.247413	−	0.369218i
$509$	−2.59149	−	13.0283i	−0.114866	−	0.577469i	−0.994755	−	0.102290i	$-0.967383\pi$
$509$	−2.59149	−	13.0283i	−0.114866	−	0.577469i	0.879889	−	0.475179i	$-0.157617\pi$
$510$	3.58468	+	8.31010i	0.158732	+	0.367977i
$511$			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
$516$	13.0664	−	11.0602i	0.575215	−	0.486897i
$517$	−3.71763	−	5.56383i	−0.163501	−	0.244697i
$518$	3.86442	+	7.21830i	0.169793	+	0.317154i
$519$	20.4226	+	5.88670i	0.896451	+	0.258397i
$520$	−2.28730	−	1.86954i	−0.100305	−	0.0819846i
$521$	7.83170	+	18.9074i	0.343113	+	0.828348i	0.997397	+	0.0720996i	$0.0229699\pi$
$521$	7.83170	+	18.9074i	0.343113	+	0.828348i	−0.654284	+	0.756249i	$0.727030\pi$
$522$	16.8856	−	33.8736i	0.739062	−	1.48261i
$523$	−6.97752	−	1.38791i	−0.305105	−	0.0606893i	0.0401632	−	0.999193i	$-0.487212\pi$
$523$	−6.97752	−	1.38791i	−0.305105	−	0.0606893i	−0.345269	+	0.938504i	$0.612212\pi$
$524$	24.5135	−	24.5786i	1.07088	−	1.07372i
$525$	5.99918	−	11.6086i	0.261826	−	0.506641i
$526$	−26.7940	−	2.62104i	−1.16827	−	0.114283i
$527$	7.90551	+	7.90551i	0.344369	+	0.344369i
$528$	3.75785	−	13.1681i	0.163539	−	0.573070i
$529$	4.85484	−	4.85484i	0.211080	−	0.211080i
$530$	12.8862	−	10.5897i	0.559740	−	0.459988i
$531$	26.4586	+	10.1082i	1.14821	+	0.438658i
$532$	−17.1227	−	7.06588i	−0.742365	−	0.306345i
$533$	−2.41848	+	12.1585i	−0.104756	+	0.526644i
$534$	4.31086	+	20.1364i	0.186549	+	0.871387i
$535$	−8.77026	+	3.63276i	−0.379171	+	0.157058i
$536$	−15.5629	−	8.27876i	−0.672214	−	0.357588i
$537$	26.0083	+	7.49676i	1.12234	+	0.323509i
$538$	28.0433	+	8.48653i	1.20903	+	0.365880i
$539$	−6.26685	+	4.18737i	−0.269932	+	0.180363i
$540$	−7.86976	+	4.65192i	−0.338660	+	0.200187i
$541$	−3.47342	−	17.4621i	−0.149334	−	0.750753i	−0.980775	−	0.195140i	$-0.937484\pi$
$541$	−3.47342	−	17.4621i	−0.149334	−	0.750753i	0.831441	−	0.555613i	$-0.187516\pi$
$542$	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
$546$	1.91679	−	4.82492i	0.0820309	−	0.206487i
$547$	2.91657	−	0.580142i	0.124704	−	0.0248051i	−0.132344	−	0.991204i	$-0.542250\pi$
$547$	2.91657	−	0.580142i	0.124704	−	0.0248051i	0.257047	+	0.966399i	$0.417250\pi$
$548$	24.4220	+	16.2715i	1.04326	+	0.695082i
$549$	−8.43979	+	8.92212i	−0.360202	+	0.380787i
$550$	−11.3068	−	3.42169i	−0.482123	−	0.145901i
$551$	−17.7123	+	42.7613i	−0.754570	+	1.82169i
$552$	−0.312394	−	19.6755i	−0.0132964	−	0.837443i
$553$	−3.78343	−	9.13402i	−0.160888	−	0.388418i
$554$	−6.79358	+	0.673658i	−0.288632	+	0.0286210i
$555$	−4.92391	−	0.416012i	−0.209008	−	0.0176587i
$556$	−27.0741	+	11.2566i	−1.14820	+	0.477385i
$557$	−5.14626	+	7.70192i	−0.218054	+	0.326341i	−0.924329	−	0.381597i	$-0.875374\pi$
$557$	−5.14626	+	7.70192i	−0.218054	+	0.326341i	0.706275	+	0.707938i	$0.250374\pi$
$558$	−6.91322	+	8.92992i	−0.292660	+	0.378034i
$559$	−4.14890	−	4.14890i	−0.175480	−	0.175480i
$560$	6.16391	+	1.20909i	0.260473	+	0.0510934i
$561$	11.2407	+	8.96674i	0.474585	+	0.378576i
$562$	−25.2332	−	2.46836i	−1.06440	−	0.104122i
$563$	−11.4925	+	17.1998i	−0.484352	+	0.724884i	−0.990492	−	0.137567i	$-0.956072\pi$
$563$	−11.4925	+	17.1998i	−0.484352	+	0.724884i	0.506141	+	0.862451i	$0.331072\pi$
$564$	11.6524	−	1.32693i	0.490654	−	0.0558738i
$565$	−0.886290	+	4.45568i	−0.0372865	+	0.187452i
$566$	−20.7498	−	17.0059i	−0.872178	−	0.714810i
$567$	−11.9738	−	10.7123i	−0.502851	−	0.449875i
$568$	−24.1967	+	12.9954i	−1.01527	+	0.545273i
$569$	1.45541	−	3.51367i	0.0610139	−	0.147301i	−0.890432	−	0.455116i	$-0.849598\pi$
$569$	1.45541	−	3.51367i	0.0610139	−	0.147301i	0.951446	+	0.307815i	$0.0995979\pi$
$570$	9.20392	−	6.34548i	0.385510	−	0.265783i
$571$	−26.2434	+	17.5353i	−1.09825	+	0.733828i	−0.966297	−	0.257428i	$-0.917125\pi$
$571$	−26.2434	+	17.5353i	−1.09825	+	0.733828i	−0.131953	+	0.991256i	$0.542125\pi$
$572$	−4.60454	−	0.909552i	−0.192525	−	0.0380303i
$573$	3.17767	+	9.97461i	0.132749	+	0.416695i
$574$	−7.66839	−	25.2191i	−0.320072	−	1.05262i
$575$	−16.9754			−0.707925
$576$	17.5008	+	16.4232i	0.729199	+	0.684302i
$577$	−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
$579$	−0.989840	−	3.10707i	−0.0411364	−	0.129126i
$580$	3.04159	−	15.3978i	0.126295	−	0.639358i
$581$	−14.0173	+	9.36604i	−0.581534	+	0.388569i
$582$	−5.74671	+	3.96197i	−0.238209	+	0.164229i
$583$	10.1410	−	24.4826i	0.419999	−	1.01397i
$584$	−3.50369	+	11.6334i	−0.144984	+	0.481393i
$585$	1.81246	+	2.55592i	0.0749361	+	0.105674i
$586$	−2.06341	−	1.69111i	−0.0852387	−	0.0698591i
$587$	4.56292	−	22.9393i	0.188332	−	0.946807i	−0.764804	−	0.644263i	$-0.777164\pi$
$587$	4.56292	−	22.9393i	0.188332	−	0.946807i	0.953135	−	0.302544i	$-0.0978359\pi$
$588$	−1.49459	−	13.1247i	−0.0616360	−	0.541255i
$589$	7.67250	−	11.4827i	0.316140	−	0.473137i
$590$	11.6896	+	1.14350i	0.481252	+	0.0470770i
$591$	−7.06264	−	5.63386i	−0.290518	−	0.231746i
$592$	2.56459	+	12.7167i	0.105404	+	0.522653i
$593$	0.720946	+	0.720946i	0.0296057	+	0.0296057i	0.721755	−	0.692149i	$-0.243336\pi$
$593$	0.720946	+	0.720946i	0.0296057	+	0.0296057i	−0.692149	+	0.721755i	$0.743336\pi$
$594$	−7.55119	+	12.4073i	−0.309829	+	0.509078i
$595$	−3.66436	+	5.48410i	−0.150224	+	0.224826i
$596$	−0.507964	−	1.22175i	−0.0208070	−	0.0500447i
$597$	21.0930	+	1.78211i	0.863280	+	0.0729370i
$598$	−6.71161	+	0.665530i	−0.274458	+	0.0272156i
$599$	5.88792	+	14.2147i	0.240574	+	0.580797i	0.997340	−	0.0728890i	$-0.0232219\pi$
$599$	5.88792	+	14.2147i	0.240574	+	0.580797i	−0.756766	+	0.653686i	$0.773222\pi$
$600$	14.4056	−	14.8705i	0.588107	−	0.607084i
$601$	13.8900	−	33.5333i	0.566583	−	1.36785i	−0.337835	−	0.941206i	$-0.609694\pi$
$601$	13.8900	−	33.5333i	0.566583	−	1.36785i	0.904418	−	0.426648i	$-0.140306\pi$
$602$	11.9411	+	3.61366i	0.486684	+	0.147282i
$603$	13.5829	+	12.8486i	0.553140	+	0.523237i
$604$	−27.1800	+	40.7947i	−1.10594	+	1.65991i
$605$	−6.11990	+	1.21732i	−0.248809	+	0.0494913i
$606$	5.29113	−	13.3188i	0.214937	−	0.541038i
$607$	−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
$612$	−22.9921	+	10.3173i	−0.929401	+	0.417052i
$613$	27.1558	−	18.1449i	1.09681	−	0.732866i	0.130811	−	0.991407i	$-0.458242\pi$
$613$	27.1558	−	18.1449i	1.09681	−	0.732866i	0.966000	+	0.258542i	$0.0832419\pi$
$614$	30.5824	+	9.25494i	1.23421	+	0.373499i
$615$	15.2861	+	4.40613i	0.616394	+	0.177672i
$616$	9.54430	−	2.91598i	0.384551	−	0.117488i
$617$	−17.2960	+	7.16425i	−0.696312	+	0.288422i	−0.702627	−	0.711558i	$-0.747990\pi$
$617$	−17.2960	+	7.16425i	−0.696312	+	0.288422i	0.00631502	+	0.999980i	$0.497990\pi$
$618$	8.03134	+	37.5151i	0.323068	+	1.50908i
$619$	3.91055	−	19.6597i	0.157178	−	0.790189i	−0.819097	−	0.573655i	$-0.805525\pi$
$619$	3.91055	−	19.6597i	0.157178	−	0.790189i	0.976275	−	0.216534i	$-0.0694751\pi$
$620$	−1.78640	+	4.32899i	−0.0717436	+	0.173856i
$621$	−5.22162	+	20.2079i	−0.209536	+	0.810914i
$622$	26.2855	−	21.6011i	1.05395	−	0.866127i
$623$	−10.6119	+	10.6119i	−0.425158	+	0.425158i
$624$	5.11258	−	6.44414i	0.204667	−	0.257972i
$625$	−9.89341	−	9.89341i	−0.395736	−	0.395736i
$626$	−0.945461	−	0.0924868i	−0.0377882	−	0.00369652i
$627$	8.15445	−	15.7791i	0.325657	−	0.630157i
$628$	29.4304	+	29.3524i	1.17440	+	1.17129i
$629$	−13.3601	−	2.65749i	−0.532702	−	0.105961i
$630$	−5.96264	−	2.97230i	−0.237557	−	0.118419i
$631$	18.9135	+	45.6613i	0.752936	+	1.81775i	0.542303	+	0.840183i	$0.317553\pi$
$631$	18.9135	+	45.6613i	0.752936	+	1.81775i	0.210633	+	0.977565i	$0.432447\pi$
$632$	−1.56641	−	15.5861i	−0.0623083	−	0.619981i
$633$	4.42890	+	1.27661i	0.176033	+	0.0507406i
$634$	−17.0914	−	31.9248i	−0.678787	−	1.26790i
$635$	2.44785	+	3.66347i	0.0971401	+	0.145380i
$636$	30.0064	+	35.4493i	1.18983	+	1.40565i
$637$	−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	$0.765389\pi$
$642$	−10.4698	−	24.2714i	−0.413210	−	0.957914i
$643$	4.93903	+	24.8302i	0.194776	+	0.979207i	0.947228	+	0.320560i	$0.103871\pi$
$643$	4.93903	+	24.8302i	0.194776	+	0.979207i	−0.752452	+	0.658647i	$0.771129\pi$
$644$	11.9134	−	7.98318i	0.469456	−	0.314582i
$645$	−5.75352	+	4.85705i	−0.226545	+	0.191246i
$646$	27.1689	−	14.5453i	1.06895	−	0.572276i
$647$	−17.8713	−	7.40254i	−0.702594	−	0.291024i	0.00264227	−	0.999997i	$-0.499159\pi$
$647$	−17.8713	−	7.40254i	−0.702594	−	0.291024i	−0.705236	+	0.708973i	$0.749159\pi$
$648$	−13.2709	−	21.7229i	−0.521331	−	0.853355i
$649$	17.2405	−	7.14125i	0.676749	−	0.280319i
$650$	−5.48841	−	4.49813i	−0.215273	−	0.176431i
$651$	−8.20104	−	0.692891i	−0.321424	−	0.0271566i
$652$	7.79688	−	7.81758i	0.305349	−	0.306160i
$653$	−5.16831	−	3.45335i	−0.202251	−	0.135140i	0.450320	−	0.892867i	$-0.351310\pi$
$653$	−5.16831	−	3.45335i	−0.202251	−	0.135140i	−0.652572	+	0.757727i	$0.726310\pi$
$654$	−0.558853	−	38.4070i	−0.0218529	−	1.50183i
$655$	−10.7963	+	10.7963i	−0.421845	+	0.421845i
$656$	−0.110778	−	41.7641i	−0.00432514	−	1.63061i
$657$	6.85907	−	10.9095i	0.267598	−	0.425618i
$658$	5.42649	+	6.60326i	0.211547	+	0.257422i
$659$	−32.4179	−	21.6610i	−1.26282	−	0.843792i	−0.269939	−	0.962877i	$-0.587004\pi$
$659$	−32.4179	−	21.6610i	−1.26282	−	0.843792i	−0.992884	+	0.119086i	$0.962004\pi$
$660$	−1.66052	+	5.78965i	−0.0646358	+	0.225362i
$661$	12.8918	+	2.56434i	0.501432	+	0.0997411i	0.439325	−	0.898328i	$-0.355218\pi$
$661$	12.8918	+	2.56434i	0.501432	+	0.0997411i	0.0621078	+	0.998069i	$0.480218\pi$
$662$	8.28868	−	0.821913i	0.322149	−	0.0319446i
$663$	4.17707	+	7.56032i	0.162224	+	0.293618i
$664$	−25.5453	+	7.80462i	−0.991351	+	0.302878i
$665$	7.52710	+	3.11783i	0.291888	+	0.120904i
$666$	0.958797	−	13.7262i	0.0371526	−	0.531880i
$667$	−19.9081	−	29.7946i	−0.770847	−	1.15365i
$668$	−2.39461	−	11.9556i	−0.0926504	−	0.462578i
$669$	−6.16414	−	19.3490i	−0.238320	−	0.748077i
$670$	6.84030	+	3.65039i	0.264264	+	0.141027i
$671$			8.09159i			0.312372i
$672$	−3.11668	+	17.2108i	−0.120229	+	0.663922i
$673$			22.2938i			0.859364i	0.902980	+	0.429682i	$0.141374\pi$
$673$			22.2938i			0.859364i	−0.902980	+	0.429682i	$0.858626\pi$
$674$	−20.8940	+	39.1524i	−0.804809	+	1.50810i
$675$	−18.9189	+	11.1494i	−0.728189	+	0.429141i
$676$	19.2910	+	12.8529i	0.741963	+	0.494342i
$677$	−4.74556	−	7.10223i	−0.182387	−	0.272961i	0.728999	−	0.684515i	$-0.239986\pi$
$677$	−4.74556	−	7.10223i	−0.182387	−	0.272961i	−0.911385	+	0.411554i	$0.864986\pi$
$678$	−12.4416	−	2.28713i	−0.477817	−	0.0878369i
$679$	−4.69974	−	1.94670i	−0.180360	−	0.0747074i
$680$	−8.06504	+	6.64570i	−0.309280	+	0.254851i
$681$	29.9037	−	16.5218i	1.14591	−	0.633116i
$682$	0.734203	+	7.40416i	0.0281141	+	0.283520i
$683$	4.27166	+	0.849686i	0.163451	+	0.0325123i	0.276137	−	0.961118i	$-0.410946\pi$
$683$	4.27166	+	0.849686i	0.163451	+	0.0325123i	−0.112687	+	0.993631i	$0.535946\pi$
$684$	18.0402	+	25.3689i	0.689786	+	0.970003i
$685$	−10.7322	−	7.17103i	−0.410057	−	0.273991i
$686$	21.0908	−	17.3322i	0.805251	−	0.661747i
$687$	−22.8022	−	18.1893i	−0.869957	−	0.693964i
$688$	16.4649	+	10.9384i	0.627719	+	0.417024i
$689$	11.2560	−	11.2560i	0.428821	−	0.428821i
$690$	0.125926	+	8.65418i	0.00479390	+	0.329459i
$691$	15.3523	+	10.2581i	0.584028	+	0.390235i	0.812194	−	0.583387i	$-0.198273\pi$
$691$	15.3523	+	10.2581i	0.584028	+	0.390235i	−0.228166	+	0.973622i	$0.573273\pi$
$692$	0.0325483	+	24.5420i	0.00123730	+	0.932948i
$693$	−10.5811	+	0.293949i	−0.401943	+	0.0111662i
$694$	3.54716	−	4.32807i	0.134648	−	0.164291i
$695$	11.9148	−	4.93526i	0.451953	−	0.187205i
$696$	42.9944	+	7.84471i	1.62970	+	0.297353i
$697$	40.5158	+	16.7822i	1.53464	+	0.635670i
$698$	−1.95928	−	3.65971i	−0.0741598	−	0.138522i
$699$	−21.6325	−	25.6253i	−0.818218	−	0.969237i
$700$	14.8026	+	2.92402i	0.559485	+	0.110517i
$701$	1.06892	+	5.37381i	0.0403724	+	0.202966i	0.995707	−	0.0925602i	$-0.0295051\pi$
$701$	1.06892	+	5.37381i	0.0403724	+	0.202966i	−0.955335	+	0.295526i	$0.904505\pi$
$702$	−7.04289	+	5.14989i	−0.265817	+	0.194370i
$703$			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
$708$	−2.71019	+	32.5930i	−0.101855	+	1.22492i
$709$	22.7601	+	34.0630i	0.854775	+	1.27926i	0.958626	+	0.284668i	$0.0918834\pi$
$709$	22.7601	+	34.0630i	0.854775	+	1.27926i	−0.103851	+	0.994593i	$0.533117\pi$
$710$	10.6502	−	5.70173i	0.399695	−	0.213982i
$711$	−2.78761	+	16.3793i	−0.104544	+	0.614271i
$712$	−20.9483	+	11.2507i	−0.785071	+	0.421639i
$713$	4.09161	+	9.87801i	0.153232	+	0.369935i
$714$	−15.4175	−	9.98030i	−0.576987	−	0.373503i
$715$	2.02472	+	0.402741i	0.0757201	+	0.0150617i
$716$	0.0414506	+	31.2545i	0.00154908	+	1.16803i
$717$	−46.3725	−	23.9647i	−1.73181	−	0.894980i
$718$	0.206497	−	2.11095i	0.00770642	−	0.0787801i
$719$	10.4105	+	10.4105i	0.388248	+	0.388248i	0.874062	−	0.485814i	$-0.161477\pi$
$719$	10.4105	+	10.4105i	0.388248	+	0.388248i	−0.485814	+	0.874062i	$0.661477\pi$
$720$	−7.68791	−	7.23376i	−0.286511	−	0.269586i
$721$	−19.7706	+	19.7706i	−0.736294	+	0.736294i
$722$	−7.10907	−	8.65073i	−0.264572	−	0.321947i
$723$	−14.8556	+	28.7460i	−0.552484	+	1.06907i
$724$	−17.8306	−	42.8860i	−0.662670	−	1.59384i
$725$	7.35531	−	36.9776i	0.273169	−	1.37331i
$726$	−3.63727	−	16.9900i	−0.134992	−	0.630558i
$727$	26.9114	−	11.1471i	0.998088	−	0.413422i	0.176993	−	0.984212i	$-0.443363\pi$
$727$	26.9114	−	11.1471i	0.998088	−	0.413422i	0.821096	+	0.570790i	$0.193363\pi$
$728$	5.96717	+	0.575731i	0.221158	+	0.0213380i
$729$	7.45303	+	25.9510i	0.276038	+	0.961147i
$730$	1.54784	−	5.11475i	0.0572882	−	0.189306i
$731$	−17.2582	+	11.5316i	−0.638319	+	0.426511i
$732$	−12.6071	−	6.49404i	−0.465973	−	0.240027i
$733$	0.362733	+	1.82358i	0.0133978	+	0.0673555i	0.986906	−	0.161298i	$-0.0515679\pi$
$733$	0.362733	+	1.82358i	0.0133978	+	0.0673555i	−0.973508	+	0.228653i	$0.926568\pi$
$734$	−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
$738$	−11.6485	+	42.7387i	−0.428786	+	1.57323i
$739$	−18.0176	+	3.58392i	−0.662788	+	0.131837i	−0.515010	−	0.857184i	$-0.672212\pi$
$739$	−18.0176	+	3.58392i	−0.662788	+	0.131837i	−0.147777	+	0.989021i	$0.547212\pi$
$740$	−1.12059	−	5.59478i	−0.0411935	−	0.205668i
$741$	8.15279	−	6.88248i	0.299500	−	0.252834i
$742$	−9.80391	+	32.3965i	−0.359913	+	1.18931i
$743$	−5.48417	+	13.2400i	−0.201195	+	0.485727i	−0.991984	−	0.126361i	$-0.959670\pi$
$743$	−5.48417	+	13.2400i	−0.201195	+	0.485727i	0.790790	+	0.612088i	$0.209670\pi$
$744$	−12.1253	−	4.79840i	−0.444536	−	0.175918i
$745$	0.222709	+	0.537666i	0.00815941	+	0.0196986i
$746$	0.586288	+	5.91248i	0.0214655	+	0.216471i
$747$	28.3203	−	0.786754i	1.03619	−	0.0287858i
$748$	−6.33353	+	15.3480i	−0.231577	+	0.561180i
$749$	10.7025	−	16.0175i	0.391062	−	0.585265i
$750$	−13.8514	+	14.2604i	−0.505780	+	0.520717i
$751$	−22.4584	−	22.4584i	−0.819518	−	0.819518i	0.166520	−	0.986038i	$-0.446747\pi$
$751$	−22.4584	−	22.4584i	−0.819518	−	0.819518i	−0.986038	+	0.166520i	$0.946747\pi$
$752$	5.21546	+	12.4974i	0.190188	+	0.455732i
$753$	15.0576	−	18.8762i	0.548728	−	0.687888i
$754$	1.45836	−	14.9083i	0.0531102	−	0.542928i
$755$	11.9786	−	17.9272i	0.435944	−	0.652437i
$756$	8.03406	−	16.7219i	0.292196	−	0.608168i
$757$	−2.33825	+	11.7552i	−0.0849853	+	0.427250i	0.914745	+	0.404031i	$0.132391\pi$
$757$	−2.33825	+	11.7552i	−0.0849853	+	0.427250i	−0.999730	+	0.0232186i	$0.992609\pi$
$758$	16.7538	−	20.4422i	0.608525	−	0.742493i
$759$	6.65003	+	12.0363i	0.241381	+	0.436889i
$760$	9.99488	+	8.16937i	0.362552	+	0.296334i
$761$	7.55526	−	18.2400i	0.273878	−	0.661200i	−0.725764	−	0.687943i	$-0.758514\pi$
$761$	7.55526	−	18.2400i	0.273878	−	0.661200i	0.999642	+	0.0267435i	$0.00851372\pi$
$762$	−10.1008	+	6.96384i	−0.365914	+	0.252273i
$763$	23.2755	−	15.5522i	0.842630	−	0.563027i
$764$	−10.0419	+	6.72907i	−0.363304	+	0.243449i
$765$	10.1188	−	4.52452i	0.365846	−	0.163584i
$766$	−45.5976	+	13.8649i	−1.64751	+	0.500960i
$767$	11.2097			0.404757
$768$	−12.5923	+	24.6867i	−0.454385	+	0.890805i
$769$	−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
$771$	−20.1400	+	6.41613i	−0.725324	+	0.231071i
$772$	3.12804	−	2.09610i	0.112581	−	0.0754402i
$773$	−34.5172	+	23.0637i	−1.24150	+	0.829542i	−0.990375	−	0.138413i	$-0.955800\pi$
$773$	−34.5172	+	23.0637i	−1.24150	+	0.829542i	−0.251123	+	0.967955i	$0.580800\pi$
$774$	−13.7563	−	15.8224i	−0.494461	−	0.568726i
$775$	−4.30494	+	10.3930i	−0.154638	+	0.373329i
$776$	−6.24057	−	5.10076i	−0.224023	−	0.183107i
$777$	8.77721	−	4.84941i	0.314881	−	0.173972i
$778$	9.15417	−	11.1695i	0.328193	−	0.400446i
$779$	10.5681	−	53.1295i	0.378642	−	1.90356i
$780$	−2.25246	+	2.83139i	−0.0806510	+	0.101380i
$781$	10.6632	−	15.9586i	0.381560	−	0.571045i
$782$	−2.32285	+	23.7457i	−0.0830650	+	0.849145i
$783$	−41.7564	−	20.1302i	−1.49225	−	0.719393i
$784$	14.0765	−	5.87446i	0.502732	−	0.209802i
$785$	−12.9274	−	12.9274i	−0.461400	−	0.461400i
$786$	−30.4969	−	29.6221i	−1.08779	−	1.05658i
$787$	−7.99533	+	11.9659i	−0.285003	+	0.426537i	−0.946154	−	0.323715i	$-0.895068\pi$
$787$	−7.99533	+	11.9659i	−0.285003	+	0.426537i	0.661152	+	0.750252i	$0.270068\pi$
$788$	3.97940	−	9.64327i	0.141760	−	0.343527i
$789$	−2.77589	+	32.8554i	−0.0988245	+	1.16968i
$790$	0.679872	+	6.85625i	0.0241888	+	0.243934i
$791$	−3.52801	−	8.51737i	−0.125442	−	0.302843i
$792$	−16.1871	−	4.38874i	−0.575182	−	0.155947i
$793$	−1.86008	+	4.49063i	−0.0660533	+	0.159467i
$794$	−6.30446	+	20.8327i	−0.223737	+	0.739326i
$795$	−13.1773	−	15.6094i	−0.467350	−	0.553608i
$796$	4.80036	+	23.9669i	0.170144	+	0.849484i
$797$	1.85963	−	0.369903i	0.0658713	−	0.0131026i	−0.162045	−	0.986783i	$-0.551809\pi$
$797$	1.85963	−	0.369903i	0.0658713	−	0.0131026i	0.227916	+	0.973681i	$0.426809\pi$
$798$	−8.37584	+	21.0836i	−0.296502	+	0.746351i
$799$	−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
$804$	−9.88645	+	19.1930i	−0.348668	+	0.676883i
$805$	−5.24463	+	3.50435i	−0.184849	+	0.123512i
$806$	−1.29459	+	4.27790i	−0.0455999	+	0.150682i
$807$	9.93876	−	34.4803i	0.349861	−	1.21376i
$808$	16.4719	+	1.58926i	0.579478	+	0.0559099i
$809$	22.5374	−	9.33528i	0.792371	−	0.328211i	0.0504747	−	0.998725i	$-0.483927\pi$
$809$	22.5374	−	9.33528i	0.792371	−	0.328211i	0.741896	+	0.670514i	$0.233927\pi$
$810$	5.82437	+	9.56226i	0.204648	+	0.335984i
$811$	−2.20624	+	11.0915i	−0.0774717	+	0.389477i	0.922522	+	0.385944i	$0.126124\pi$
$811$	−2.20624	+	11.0915i	−0.0774717	+	0.389477i	−0.999994	+	0.00353228i	$0.998876\pi$
$812$	12.2278	+	29.4101i	0.429111	+	1.03209i
$813$	−24.4454	−	12.6331i	−0.857339	−	0.443062i
$814$	−5.75573	−	7.00391i	−0.201738	−	0.245487i
$815$	−3.43392	+	3.43392i	−0.120285	+	0.120285i
$816$	−18.8300	−	22.1858i	−0.659182	−	0.776659i
$817$	18.1296	+	18.1296i	0.634274	+	0.634274i
$818$	0.207128	−	2.11739i	0.00724205	−	0.0740330i
$819$	−5.93982	−	2.26923i	−0.207554	−	0.0792933i
$820$	0.0243621	+	18.3694i	0.000850761	+	0.641489i
$821$	−11.0924	−	2.20641i	−0.387126	−	0.0770042i	−0.00230971	−	0.999997i	$-0.500735\pi$
$821$	−11.0924	−	2.20641i	−0.387126	−	0.0770042i	−0.384816	+	0.922993i	$0.625735\pi$
$822$	19.5311	−	30.1716i	0.681226	−	1.05236i
$823$	−11.3597	−	27.4247i	−0.395973	−	0.955964i	−0.988611	−	0.150495i	$-0.951913\pi$
$823$	−11.3597	−	27.4247i	−0.395973	−	0.955964i	0.592637	−	0.805469i	$-0.298087\pi$
$824$	−39.0277	+	20.9607i	−1.35960	+	0.730200i
$825$	−4.00722	+	13.9021i	−0.139513	+	0.484010i
$826$	−21.0132	+	11.2497i	−0.731144	+	0.391428i
$827$	14.3360	+	21.4553i	0.498510	+	0.746073i	0.992347	−	0.123482i	$-0.0394060\pi$
$827$	14.3360	+	21.4553i	0.498510	+	0.746073i	−0.493837	+	0.869555i	$0.664406\pi$
$828$	−24.0902	+	0.701215i	−0.837194	+	0.0243689i
$829$	−8.32245	+	1.65544i	−0.289051	+	0.0574958i	−0.337486	−	0.941331i	$-0.609577\pi$
$829$	−8.32245	+	1.65544i	−0.289051	+	0.0574958i	0.0484353	+	0.998826i	$0.484577\pi$
$830$	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
$834$	14.2237	+	32.9737i	0.492526	+	1.14179i
$835$	1.04627	+	5.25993i	0.0362075	+	0.182028i
$836$	20.1206	+	3.97450i	0.695885	+	0.137461i
$837$	11.0479	+	8.32157i	0.381871	+	0.287635i
$838$	−12.2710	−	22.9208i	−0.423895	−	0.791788i
$839$	27.4216	+	11.3584i	0.946700	+	0.392136i	0.801990	−	0.597338i	$-0.203775\pi$
$839$	27.4216	+	11.3584i	0.946700	+	0.392136i	0.144710	+	0.989474i	$0.453775\pi$
$840$	1.38087	−	7.56814i	0.0476446	−	0.261126i
$841$	46.7352	−	19.3584i	1.61156	−	0.667530i
$842$	−20.8033	+	25.3832i	−0.716928	+	0.874761i
$843$	−2.61419	+	30.9415i	−0.0900377	+	1.06568i
$844$	0.00705853	+	5.32226i	0.000242965	+	0.183200i
$845$	−8.47742	−	5.66443i	−0.291632	−	0.194862i
$846$	−1.81372	−	14.2485i	−0.0623569	−	0.489873i
$847$	8.95377	−	8.95377i	0.307655	−	0.307655i
$848$	−29.6762	+	44.6696i	−1.01908	+	1.53396i
$849$	−20.4900	+	25.6864i	−0.703215	+	0.881553i
$850$	−19.3944	+	15.9381i	−0.665221	+	0.546671i
$851$	−10.8316	−	7.23743i	−0.371302	−	0.248096i
$852$	16.3065	+	29.4217i	0.558651	+	1.00797i
$853$	30.8656	+	6.13955i	1.05682	+	0.210214i	0.692765	−	0.721164i	$-0.256392\pi$
$853$	30.8656	+	6.13955i	1.05682	+	0.210214i	0.364054	+	0.931378i	$0.381392\pi$
$854$	−1.01984	−	10.2847i	−0.0348982	−	0.351935i
$855$	−7.91997	−	11.1687i	−0.270857	−	0.381961i
$856$	23.5556	−	19.4101i	0.805114	−	0.663425i
$857$	−7.21423	−	2.98823i	−0.246433	−	0.102076i	0.256048	−	0.966664i	$-0.417579\pi$
$857$	−7.21423	−	2.98823i	−0.246433	−	0.102076i	−0.502481	+	0.864588i	$0.667579\pi$
$858$	−1.03930	+	5.65362i	−0.0354812	+	0.193011i
$859$	−10.7585	−	16.1013i	−0.367077	−	0.549369i	0.601248	−	0.799062i	$-0.294670\pi$
$859$	−10.7585	−	16.1013i	−0.367077	−	0.549369i	−0.968325	+	0.249693i	$0.919670\pi$
$860$	−7.23550	−	4.82074i	−0.246729	−	0.164386i
$861$	−30.7600	+	9.79942i	−1.04830	+	0.333963i
$862$	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	$-0.155005\pi$
$864$	19.8291	−	21.6981i	0.674600	−	0.738184i
$865$		−	10.7945i		−	0.367024i
$866$	0.743512	+	0.396782i	0.0252656	+	0.0134832i
$867$	1.05824	−	0.337129i	0.0359396	−	0.0114495i
$868$	−1.86640	−	9.31841i	−0.0633497	−	0.316287i
$869$	6.08160	+	9.10176i	0.206304	+	0.308756i
$870$	−18.9060	−	3.47547i	−0.640972	−	0.117830i
$871$	6.83648	+	2.83176i	0.231645	+	0.0959506i
$872$	42.4177	−	12.9595i	1.43644	−	0.438863i
$873$	4.94504	+	6.97347i	0.167364	+	0.236016i
$874$	29.3279	−	2.90819i	0.992033	−	0.0983709i
$875$	−14.2099	−	2.82652i	−0.480381	−	0.0955538i
$876$	14.3034	+	4.10235i	0.483268	+	0.138606i
$877$	26.0250	+	17.3894i	0.878803	+	0.587198i	0.911056	−	0.412282i	$-0.135268\pi$
$877$	26.0250	+	17.3894i	0.878803	+	0.587198i	−0.0322529	+	0.999480i	$0.510268\pi$
$878$	−3.20088	−	3.89502i	−0.108025	−	0.131450i
$879$	−2.03758	+	2.55432i	−0.0687258	+	0.0861550i
$880$	−6.95482	+	0.0184474i	−0.234447	+	0.000621861i
$881$	37.7482	−	37.7482i	1.27177	−	1.27177i	0.326610	−	0.945159i	$-0.394094\pi$
$881$	37.7482	−	37.7482i	1.27177	−	1.27177i	0.945159	−	0.326610i	$-0.105906\pi$
$882$	−16.0488	+	2.04289i	−0.540393	+	0.0687878i
$883$	15.4764	+	10.3410i	0.520823	+	0.348003i	0.788031	−	0.615636i	$-0.211101\pi$
$883$	15.4764	+	10.3410i	0.520823	+	0.348003i	−0.267207	+	0.963639i	$0.586101\pi$
$884$	−7.04313	+	7.06183i	−0.236886	+	0.237515i
$885$	1.21106	−	14.3340i	0.0407092	−	0.481833i
$886$	4.15603	+	3.40616i	0.139625	+	0.114432i
$887$	−41.2430	+	17.0834i	−1.38481	+	0.573605i	−0.945762	−	0.324860i	$-0.894683\pi$
$887$	−41.2430	+	17.0834i	−1.38481	+	0.573605i	−0.439044	+	0.898466i	$0.644683\pi$
$888$	15.5318	−	3.34665i	0.521214	−	0.112306i
$889$	−8.26061	−	3.42166i	−0.277052	−	0.114759i
$890$	9.22041	−	4.93628i	0.309069	−	0.165464i
$891$	15.3167	+	9.04654i	0.513130	+	0.303071i
$892$	19.4796	−	13.0533i	0.652225	−	0.437055i
$893$	3.42670	+	17.2272i	0.114670	+	0.576485i
$894$	−1.48797	+	0.641858i	−0.0497652	+	0.0214669i
$895$		−	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
$900$	−18.4442	−	17.4009i	−0.614807	−	0.580028i
$901$	−31.2854	−	46.8219i	−1.04227	−	1.55986i
$902$	13.7749	+	25.7300i	0.458655	+	0.856716i
$903$	4.23203	−	14.6821i	0.140833	−	0.488589i
$904$	−1.46066	−	14.5338i	−0.0485808	−	0.483389i
$905$	7.81755	+	18.8732i	0.259864	+	0.627368i
$906$	50.3990	+	32.6250i	1.67439	+	1.08389i
$907$	−23.7082	−	4.71586i	−0.787219	−	0.156588i	−0.214919	−	0.976632i	$-0.568949\pi$
$907$	−23.7082	−	4.71586i	−0.787219	−	0.156588i	−0.572300	+	0.820044i	$0.693949\pi$
$908$	27.9320	+	27.8580i	0.926956	+	0.924501i
$909$	−16.3964	−	6.26402i	−0.543833	−	0.207764i
$910$	−2.62425	−	0.256709i	−0.0869929	−	0.00850981i
$911$	26.8640	+	26.8640i	0.890044	+	0.890044i	0.994527	−	0.104483i	$-0.0333187\pi$
$911$	26.8640	+	26.8640i	0.890044	+	0.890044i	−0.104483	+	0.994527i	$0.533319\pi$
$912$	−22.3406	+	28.1592i	−0.739771	+	0.932443i
$913$	13.1988	−	13.1988i	0.436817	−	0.436817i
$914$	0.655855	−	0.538974i	0.0216937	−	0.0178277i
$915$	5.54130	+	2.86367i	0.183190	+	0.0946701i
$916$	12.8477	−	31.1339i	0.424501	−	1.02869i
$917$	6.04470	−	30.3888i	0.199614	−	1.00353i
$918$	13.0073	+	27.9899i	0.429305	+	0.923805i
$919$	−38.5707	+	15.9765i	−1.27233	+	0.527017i	−0.913672	−	0.406452i	$-0.866766\pi$
$919$	−38.5707	+	15.9765i	−1.27233	+	0.527017i	−0.358659	+	0.933469i	$0.616766\pi$
$920$	−9.55791	+	2.92014i	−0.315115	+	0.0962741i
$921$	10.8387	−	37.6023i	0.357146	−	1.23904i
$922$	41.4362	+	12.5395i	1.36463	+	0.412968i
$923$	9.58636	−	6.40540i	0.315539	−	0.210836i
$924$	−3.72559	−	11.6411i	−0.122563	−	0.382964i
$925$	−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	$-0.653960\pi$
$929$	−28.3483			−0.930079			−0.465039	+	0.885290i	$0.653960\pi$
$930$	5.33037	+	2.11759i	0.174790	+	0.0694384i
$931$	19.4039	−	3.85968i	0.635937	−	0.126496i
$932$	21.4708	−	32.2258i	0.703299	−	1.05559i
$933$	−26.8793	−	31.8404i	−0.879988	−	1.04241i
$934$	9.37290	+	2.83645i	0.306691	+	0.0928115i
$935$	2.79467	−	6.74694i	0.0913956	−	0.220649i
$936$	−7.97454	−	6.15669i	−0.260656	−	0.201238i
$937$	−0.724125	−	1.74819i	−0.0236561	−	0.0571109i	0.911610	−	0.411056i	$-0.134840\pi$
$937$	−0.724125	−	1.74819i	−0.0236561	−	0.0571109i	−0.935266	+	0.353945i	$0.884840\pi$
$938$	−15.6573	+	1.55259i	−0.511229	+	0.0506940i
$939$	−0.0979510	+	1.15935i	−0.00319651	+	0.0378338i
$940$	−2.28666	−	5.49985i	−0.0745827	−	0.179385i
$941$	7.46179	−	11.1674i	0.243247	−	0.364045i	−0.689677	−	0.724117i	$-0.742248\pi$
$941$	7.46179	−	11.1674i	0.243247	−	0.364045i	0.932925	+	0.360071i	$0.117248\pi$
$942$	35.4694	−	36.5169i	1.15566	−	1.18978i
$943$	29.6554	+	29.6554i	0.965711	+	0.965711i
$944$	−37.0197	+	7.46581i	−1.20489	+	0.242991i
$945$	−3.54343	+	7.35021i	−0.115268	+	0.239102i
$946$	−13.7479	−	1.34485i	−0.446984	−	0.0437248i
$947$	30.9959	−	46.3886i	1.00723	−	1.50743i	0.152535	−	0.988298i	$-0.451256\pi$
$947$	30.9959	−	46.3886i	1.00723	−	1.50743i	0.854696	−	0.519129i	$-0.173744\pi$
$948$	−19.0619	+	2.17070i	−0.619103	+	0.0705010i
$949$	0.994979	−	5.00210i	0.0322984	−	0.162375i
$950$	23.9829	+	19.6556i	0.778107	+	0.637713i
$951$	−38.8196	+	21.4478i	−1.25881	+	0.695493i
$952$	6.11572	−	20.3062i	0.198212	−	0.658127i
$953$	2.99580	−	7.23249i	0.0970433	−	0.234283i	−0.867901	−	0.496737i	$-0.834532\pi$
$953$	2.99580	−	7.23249i	0.0970433	−	0.234283i	0.964945	+	0.262453i	$0.0845315\pi$
$954$	42.9265	−	37.3211i	1.38980	−	1.20832i
$955$	4.42073	−	2.95384i	0.143052	−	0.0955840i
$956$	11.6805	−	59.1314i	0.377773	−	1.91245i
$957$	−29.1000	+	9.27057i	−0.940670	+	0.299675i
$958$	7.02666	+	23.1086i	0.227021	+	0.746605i
$959$	26.1935			0.845831
$960$	5.55296	−	10.8508i	0.179221	−	0.350208i
$961$	−23.9147			−0.771441
$962$	−1.58424	−	5.21011i	−0.0510780	−	0.167981i
$963$	−29.5541	+	13.2148i	−0.952367	+	0.425841i
$964$	−36.6551	−	7.24063i	−1.18058	−	0.233205i
$965$	−1.37705	+	0.920116i	−0.0443289	+	0.0296196i
$966$	−9.96945	−	14.4604i	−0.320762	−	0.465255i
$967$	−9.28824	+	22.4238i	−0.298690	+	0.721100i	0.701277	+	0.712889i	$0.252614\pi$
$967$	−9.28824	+	22.4238i	−0.298690	+	0.721100i	−0.999966	+	0.00821123i	$0.997386\pi$
$968$	17.6750	−	9.49276i	0.568097	−	0.305109i
$969$	−18.2527	−	33.0365i	−0.586361	−	1.06129i
$970$	2.74186	+	2.24714i	0.0880358	+	0.0721514i
$971$	8.86554	−	44.5701i	0.284509	−	1.43032i	−0.528927	−	0.848667i	$-0.677405\pi$
$971$	8.86554	−	44.5701i	0.284509	−	1.43032i	0.813436	−	0.581655i	$-0.197595\pi$
$972$	−26.3877	+	16.6039i	−0.846386	+	0.532570i
$973$	−14.5398	+	21.7604i	−0.466126	+	0.697607i
$974$	24.1809	+	2.36542i	0.774807	+	0.0757931i
$975$	−5.41970	+	6.79416i	−0.173569	+	0.217587i
$976$	3.15205	−	16.0691i	0.100895	−	0.514358i
$977$	−1.87488	−	1.87488i	−0.0599827	−	0.0599827i	0.676479	−	0.736462i	$-0.263505\pi$
$977$	−1.87488	−	1.87488i	−0.0599827	−	0.0599827i	−0.736462	+	0.676479i	$0.763505\pi$
$978$	−9.69998	−	9.42174i	−0.310171	−	0.301274i
$979$	9.23169	−	13.8162i	0.295046	−	0.441568i
$980$	−6.19479	+	2.57560i	−0.197885	+	0.0822744i
$981$	−47.0256	+	1.30640i	−1.50141	+	0.0417100i
$982$	−17.9124	+	1.77621i	−0.571607	+	0.0566811i
$983$	8.99875	+	21.7249i	0.287015	+	0.692917i	0.999966	−	0.00829821i	$-0.00264143\pi$
$983$	8.99875	+	21.7249i	0.287015	+	0.692917i	−0.712950	+	0.701215i	$0.752641\pi$
$984$	−51.1441	+	0.812033i	−1.63041	+	0.0258867i
$985$	−1.75591	+	4.23915i	−0.0559480	+	0.135071i
$986$	−50.7189	−	15.3487i	−1.61522	−	0.488801i
$987$	7.99872	−	6.75243i	0.254602	−	0.214932i
$988$	10.2528	+	6.83103i	0.326184	+	0.217324i
$989$	−19.4685	+	3.87253i	−0.619064	+	0.123139i
$990$	7.11711	+	1.93978i	0.226197	+	0.0616501i
$991$	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
$996$	9.97154	+	31.1574i	0.315960	+	0.987259i
$997$	25.0444	−	16.7341i	0.793164	−	0.529975i	−0.0917213	−	0.995785i	$-0.529237\pi$
$997$	25.0444	−	16.7341i	0.793164	−	0.529975i	0.884885	+	0.465810i	$0.154237\pi$
$998$	−7.27722	−	2.20225i	−0.230356	−	0.0697111i
$999$	−16.8252	−	0.951883i	−0.532325	−	0.0301162i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.3	✓	240	3.2	odd	2	inner
192.2.s.a.11.28	yes	240	1.1	even	1	trivial
192.2.s.a.35.3	yes	240	64.35	odd	16	inner
192.2.s.a.35.28	yes	240	192.35	even	16	inner
768.2.s.a.47.16		240	64.29	even	16
768.2.s.a.47.19		240	192.29	odd	16
768.2.s.a.719.16		240	12.11	even	2
768.2.s.a.719.19		240	4.3	odd	2

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)

\(f(q)\)	\(=\)	\(q+(1.35305 - 0.411422i) q^{2} +(-0.525755 - 1.65033i) q^{3} +(1.66146 - 1.11334i) q^{4} +(-0.731423 + 0.488721i) q^{5} +(-1.39035 - 2.01666i) q^{6} +(0.683144 - 1.64925i) q^{7} +(1.78998 - 2.18997i) q^{8} +(-2.44716 + 1.73534i) q^{9} +O(q^{10})\)	\(q+(1.35305 - 0.411422i) q^{2} +(-0.525755 - 1.65033i) q^{3} +(1.66146 - 1.11334i) q^{4} +(-0.731423 + 0.488721i) q^{5} +(-1.39035 - 2.01666i) q^{6} +(0.683144 - 1.64925i) q^{7} +(1.78998 - 2.18997i) q^{8} +(-2.44716 + 1.73534i) q^{9} +(-0.788578 + 0.962186i) q^{10} +(-0.385603 + 1.93856i) q^{11} +(-2.71091 - 2.15661i) q^{12} +(-0.659632 + 0.987209i) q^{13} +(0.245785 - 2.51258i) q^{14} +(1.19110 + 0.950140i) q^{15} +(1.52093 - 3.69957i) q^{16} +(2.96995 + 2.96995i) q^{17} +(-2.59717 + 3.35481i) q^{18} +(2.88241 - 4.31384i) q^{19} +(-0.671118 + 1.62632i) q^{20} +(-3.08098 - 0.260306i) q^{21} +(0.275827 + 2.78160i) q^{22} +(1.53714 + 3.71099i) q^{23} +(-4.55526 - 1.80267i) q^{24} +(-1.61729 + 3.90447i) q^{25} +(-0.486353 + 1.60713i) q^{26} +(4.15048 + 3.12626i) q^{27} +(-0.701171 - 3.50075i) q^{28} +(-8.74967 + 1.74042i) q^{29} +(2.00252 + 0.795538i) 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} +(-2.13384 + 5.60774i) q^{36} +(-2.69661 + 1.80182i) q^{37} +(2.12523 - 7.02271i) q^{38} +(1.97602 + 0.569579i) q^{39} +(-0.238950 + 2.47660i) q^{40} +(9.64627 - 3.99562i) q^{41} +(-4.27580 + 0.915375i) q^{42} +(-0.964098 + 4.84685i) q^{43} +(1.51762 + 3.65015i) q^{44} +(0.941815 - 2.46525i) q^{45} +(3.60660 + 4.38872i) q^{46} +(-2.39391 + 2.39391i) q^{47} +(-6.90513 - 0.564960i) q^{48} +(2.69639 + 2.69639i) q^{49} +(-0.581876 + 5.94832i) q^{50} +(3.33993 - 6.46286i) q^{51} +(0.00314928 + 2.37461i) q^{52} +(-13.1496 - 2.61561i) q^{53} +(6.90200 + 2.52237i) q^{54} +(-0.665376 - 1.60636i) q^{55} +(-2.38900 - 4.44820i) q^{56} +(-8.63469 - 2.48890i) q^{57} +(-11.1227 + 5.95467i) q^{58} +(-5.24528 - 7.85011i) q^{59} +(3.03680 + 0.252518i) 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} +(4.44554 - 1.91765i) q^{66} +(-1.21588 - 6.11263i) q^{67} +(8.24105 + 1.62789i) q^{68} +(5.31618 - 4.48786i) q^{69} +(1.04818 + 1.95788i) q^{70} +(-8.97139 - 3.71607i) q^{71} +(-0.580043 + 8.46543i) q^{72} +(-3.96854 + 1.64382i) q^{73} +(-2.90733 + 3.54738i) q^{74} +(7.29396 + 0.616254i) q^{75} +(-0.0137615 - 10.3764i) q^{76} +(2.93375 + 1.96027i) q^{77} +(2.90799 - 0.0423136i) q^{78} +(3.91615 - 3.91615i) q^{79} +(0.695616 + 3.44926i) q^{80} +(2.97721 - 8.49330i) q^{81} +(11.4080 - 9.37494i) q^{82} +(-7.85219 - 5.24667i) q^{83} +(-5.40874 + 2.99770i) q^{84} +(-3.62377 - 0.720813i) q^{85} +(0.689631 + 6.95466i) q^{86} +(7.47245 + 13.5248i) q^{87} +(3.55516 + 4.31444i) q^{88} +(-7.76699 - 3.21719i) q^{89} +(0.260062 - 3.72307i) q^{90} +(1.17754 + 1.76231i) q^{91} +(6.68551 + 4.45430i) q^{92} +(-1.39947 - 4.39289i) q^{93} +(-2.25416 + 4.22397i) q^{94} +4.56394i q^{95} +(-9.57539 + 2.07650i) q^{96} -2.84961i q^{97} +(4.75769 + 2.53899i) q^{98} +(-2.42042 - 5.41312i) 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

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