LMFDB - Embedded newform 588.2.x.b.55.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.9
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.778541 + 1.18062i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.787748 - 1.83833i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(-1.21369 + 0.725909i) q^{6} +(2.50782 + 0.843102i) q^{7} +(2.78367 + 0.501181i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.778541 + 1.18062i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.787748 - 1.83833i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(-1.21369 + 0.725909i) q^{6} +(2.50782 + 0.843102i) q^{7} +(2.78367 + 0.501181i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.91094 - 4.86699i) q^{10} +(1.92041 + 1.53148i) q^{11} +(0.0878851 - 1.99807i) q^{12} +(-0.242677 - 0.193528i) q^{13} +(-2.94783 + 2.30441i) q^{14} +(-3.13519 + 2.50023i) q^{15} +(-2.75891 + 2.89628i) q^{16} +(1.58371 + 0.361471i) q^{17} +(-1.40846 + 0.127419i) q^{18} +1.42748 q^{19} +(8.01237 + 0.352424i) q^{20} +(1.89366 + 1.84771i) q^{21} +(-3.30322 + 1.07497i) q^{22} +(-1.88313 + 0.429812i) q^{23} +(2.29055 + 1.65934i) q^{24} +(-6.90861 - 8.66313i) q^{25} +(0.417418 - 0.135840i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-0.425633 - 5.27436i) q^{28} +(-0.713952 + 3.12803i) q^{29} +(-0.510959 - 5.64801i) q^{30} -8.67188 q^{31} +(-1.27149 - 5.51211i) q^{32} +(1.06575 + 2.21305i) q^{33} +(-1.65974 + 1.58834i) q^{34} +(-7.40943 + 7.59369i) q^{35} +(0.946111 - 1.76207i) q^{36} +(1.67306 - 7.33014i) q^{37} +(-1.11135 + 1.68531i) q^{38} +(-0.134675 - 0.279656i) q^{39} +(-6.65404 + 9.18522i) q^{40} +(-0.338961 + 0.703860i) q^{41} +(-3.65575 + 0.797184i) q^{42} +(4.37580 + 9.08645i) q^{43} +(1.30256 - 4.73676i) q^{44} +(-3.90952 + 0.892322i) q^{45} +(0.958647 - 2.55789i) q^{46} +(-8.25121 + 10.3467i) q^{47} +(-3.74234 + 1.41241i) q^{48} +(5.57836 + 4.22870i) q^{49} +(15.6065 - 1.41188i) q^{50} +(1.27003 + 1.01282i) q^{51} +(-0.164600 + 0.598571i) q^{52} +(-2.88505 - 12.6402i) q^{53} +(-1.32427 - 0.496308i) q^{54} +(-8.87444 + 4.27371i) q^{55} +(6.55841 + 3.60379i) q^{56} +(1.28611 + 0.619359i) q^{57} +(-3.13719 - 3.27821i) q^{58} +(7.46010 - 3.59259i) q^{59} +(7.06598 + 3.79396i) q^{60} +(5.94700 + 1.35736i) q^{61} +(6.75141 - 10.2382i) q^{62} +(0.904439 + 2.48636i) q^{63} +(7.49764 + 2.79024i) q^{64} +(1.12144 - 0.540056i) q^{65} +(-3.44250 - 0.464701i) q^{66} -6.08092i q^{67} +(-0.583059 - 3.19612i) q^{68} +(-1.88313 - 0.429812i) q^{69} +(-3.19675 - 14.6598i) q^{70} +(-0.983366 + 0.224447i) q^{71} +(1.34375 + 2.48884i) q^{72} +(-5.64424 + 4.50113i) q^{73} +(7.35160 + 7.68207i) q^{74} +(-2.46566 - 10.8027i) q^{75} +(-1.12449 - 2.62417i) q^{76} +(3.52486 + 5.45977i) q^{77} +(0.435019 + 0.0587229i) q^{78} -0.238695i q^{79} +(-5.66385 - 15.0070i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.567099 - 0.948169i) q^{82} +(-0.444225 - 0.557040i) q^{83} +(1.90498 - 4.93671i) q^{84} +(-4.06146 + 5.09291i) q^{85} +(-14.1344 - 1.90799i) q^{86} +(-2.00045 + 2.50849i) q^{87} +(4.57824 + 5.22560i) q^{88} +(6.14285 - 4.89876i) q^{89} +(1.99022 - 5.31038i) q^{90} +(-0.445426 - 0.689935i) q^{91} +(2.27357 + 3.12323i) q^{92} +(-7.81309 - 3.76259i) q^{93} +(-5.79165 - 17.7969i) q^{94} +(-2.48366 + 5.15738i) q^{95} +(1.24604 - 5.51792i) q^{96} -11.4209i q^{97} +(-9.33549 + 3.29373i) q^{98} +2.45630i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−0.778541	+	1.18062i	−0.550512	+	0.834827i
$2$	−0.778541	+	1.18062i	−0.550512	+	0.834827i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−0.787748	−	1.83833i	−0.393874	−	0.919165i
$5$	−1.73990	+	3.61294i	−0.778106	+	1.61575i	0.00979453	+	0.999952i	$0.496882\pi$
$5$	−1.73990	+	3.61294i	−0.778106	+	1.61575i	−0.787901	+	0.615802i	$0.788832\pi$
$6$	−1.21369	+	0.725909i	−0.495489	+	0.296351i
$7$	2.50782	+	0.843102i	0.947868	+	0.318663i
$7$	2.50782	+	0.843102i	0.947868	+	0.318663i
$8$	2.78367	+	0.501181i	0.984176	+	0.177194i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−2.91094	−	4.86699i	−0.920519	−	1.53908i
$11$	1.92041	+	1.53148i	0.579025	+	0.461757i	0.868680	−	0.495374i	$-0.164969\pi$
$11$	1.92041	+	1.53148i	0.579025	+	0.461757i	−0.289654	+	0.957131i	$0.593540\pi$
$12$	0.0878851	−	1.99807i	0.0253702	−	0.576793i
$13$	−0.242677	−	0.193528i	−0.0673064	−	0.0536750i	0.589259	−	0.807944i	$-0.299420\pi$
$13$	−0.242677	−	0.193528i	−0.0673064	−	0.0536750i	−0.656565	+	0.754269i	$0.727991\pi$
$14$	−2.94783	+	2.30441i	−0.787841	+	0.615879i
$15$	−3.13519	+	2.50023i	−0.809502	+	0.645556i
$16$	−2.75891	+	2.89628i	−0.689727	+	0.724070i
$17$	1.58371	+	0.361471i	0.384106	+	0.0876696i	0.410213	−	0.911990i	$-0.365454\pi$
$17$	1.58371	+	0.361471i	0.384106	+	0.0876696i	−0.0261079	+	0.999659i	$0.508311\pi$
$18$	−1.40846	+	0.127419i	−0.331978	+	0.0300330i
$19$	1.42748			0.327486			0.163743	−	0.986503i	$-0.447643\pi$
$19$	1.42748			0.327486			0.163743	+	0.986503i	$0.447643\pi$
$20$	8.01237	+	0.352424i	1.79162	+	0.0788044i
$21$	1.89366	+	1.84771i	0.413231	+	0.403204i
$22$	−3.30322	+	1.07497i	−0.704248	+	0.229183i
$23$	−1.88313	+	0.429812i	−0.392660	+	0.0896220i	−0.414292	−	0.910144i	$-0.635971\pi$
$23$	−1.88313	+	0.429812i	−0.392660	+	0.0896220i	0.0216324	+	0.999766i	$0.493114\pi$
$24$	2.29055	+	1.65934i	0.467556	+	0.338711i
$25$	−6.90861	−	8.66313i	−1.38172	−	1.73263i
$26$	0.417418	−	0.135840i	0.0818623	−	0.0266405i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	−0.425633	−	5.27436i	−0.0804370	−	0.996760i
$29$	−0.713952	+	3.12803i	−0.132578	+	0.580861i	0.864375	+	0.502848i	$0.167715\pi$
$29$	−0.713952	+	3.12803i	−0.132578	+	0.580861i	−0.996952	+	0.0780124i	$0.975143\pi$
$30$	−0.510959	−	5.64801i	−0.0932878	−	1.03118i
$31$	−8.67188			−1.55752			−0.778758	−	0.627325i	$-0.784150\pi$
$31$	−8.67188			−1.55752			−0.778758	+	0.627325i	$0.784150\pi$
$32$	−1.27149	−	5.51211i	−0.224770	−	0.974412i
$33$	1.06575	+	2.21305i	0.185523	+	0.385242i
$34$	−1.65974	+	1.58834i	−0.284644	+	0.272399i
$35$	−7.40943	+	7.59369i	−1.25242	+	1.28357i
$36$	0.946111	−	1.76207i	0.157685	−	0.293678i
$37$	1.67306	−	7.33014i	0.275049	−	1.20507i	−0.628920	−	0.777470i	$-0.716503\pi$
$37$	1.67306	−	7.33014i	0.275049	−	1.20507i	0.903969	−	0.427598i	$-0.140640\pi$
$38$	−1.11135	+	1.68531i	−0.180285	+	0.273394i
$39$	−0.134675	−	0.279656i	−0.0215653	−	0.0447808i
$40$	−6.65404	+	9.18522i	−1.05210	+	1.45231i
$41$	−0.338961	+	0.703860i	−0.0529368	+	0.109924i	−0.925759	−	0.378113i	$-0.876573\pi$
$41$	−0.338961	+	0.703860i	−0.0529368	+	0.109924i	0.872822	+	0.488038i	$0.162287\pi$
$42$	−3.65575	+	0.797184i	−0.564094	+	0.123008i
$43$	4.37580	+	9.08645i	0.667304	+	1.38567i	0.909607	+	0.415470i	$0.136383\pi$
$43$	4.37580	+	9.08645i	0.667304	+	1.38567i	−0.242303	+	0.970201i	$0.577903\pi$
$44$	1.30256	−	4.73676i	0.196368	−	0.714094i
$45$	−3.90952	+	0.892322i	−0.582796	+	0.133019i
$46$	0.958647	−	2.55789i	0.141345	−	0.377141i
$47$	−8.25121	+	10.3467i	−1.20356	+	1.50922i	−0.397271	+	0.917701i	$0.630043\pi$
$47$	−8.25121	+	10.3467i	−1.20356	+	1.50922i	−0.806291	+	0.591519i	$0.798529\pi$
$48$	−3.74234	+	1.41241i	−0.540160	+	0.203864i
$49$	5.57836	+	4.22870i	0.796908	+	0.604100i
$50$	15.6065	−	1.41188i	2.20710	−	0.199669i
$51$	1.27003	+	1.01282i	0.177840	+	0.141823i
$52$	−0.164600	+	0.598571i	−0.0228260	+	0.0830068i
$53$	−2.88505	−	12.6402i	−0.396292	−	1.73627i	−0.641800	−	0.766872i	$-0.721812\pi$
$53$	−2.88505	−	12.6402i	−0.396292	−	1.73627i	0.245508	−	0.969395i	$-0.421045\pi$
$54$	−1.32427	−	0.496308i	−0.180210	−	0.0675389i
$55$	−8.87444	+	4.27371i	−1.19663	+	0.576266i
$56$	6.55841	+	3.60379i	0.876404	+	0.481577i
$57$	1.28611	+	0.619359i	0.170350	+	0.0820361i
$58$	−3.13719	−	3.27821i	−0.411933	−	0.430450i
$59$	7.46010	−	3.59259i	0.971222	−	0.467716i	0.120145	−	0.992756i	$-0.461664\pi$
$59$	7.46010	−	3.59259i	0.971222	−	0.467716i	0.851077	+	0.525041i	$0.175950\pi$
$60$	7.06598	+	3.79396i	0.912214	+	0.489798i
$61$	5.94700	+	1.35736i	0.761435	+	0.173793i	0.585570	−	0.810622i	$-0.300871\pi$
$61$	5.94700	+	1.35736i	0.761435	+	0.173793i	0.175865	+	0.984414i	$0.443728\pi$
$62$	6.75141	−	10.2382i	0.857430	−	1.30026i
$63$	0.904439	+	2.48636i	0.113949	+	0.313252i
$64$	7.49764	+	2.79024i	0.937204	+	0.348780i
$65$	1.12144	−	0.540056i	0.139097	−	0.0669857i
$66$	−3.44250	−	0.464701i	−0.423743	−	0.0572007i
$67$		−	6.08092i		−	0.742902i	−0.928453	−	0.371451i	$-0.878860\pi$
$67$		−	6.08092i		−	0.742902i	0.928453	−	0.371451i	$-0.121140\pi$
$68$	−0.583059	−	3.19612i	−0.0707063	−	0.387587i
$69$	−1.88313	−	0.429812i	−0.226702	−	0.0517433i
$70$	−3.19675	−	14.6598i	−0.382085	−	1.75218i
$71$	−0.983366	+	0.224447i	−0.116704	+	0.0266370i	−0.280474	−	0.959862i	$-0.590492\pi$
$71$	−0.983366	+	0.224447i	−0.116704	+	0.0266370i	0.163770	+	0.986499i	$0.447635\pi$
$72$	1.34375	+	2.48884i	0.158363	+	0.293313i
$73$	−5.64424	+	4.50113i	−0.660609	+	0.526818i	−0.895420	−	0.445223i	$-0.853124\pi$
$73$	−5.64424	+	4.50113i	−0.660609	+	0.526818i	0.234811	+	0.972041i	$0.424553\pi$
$74$	7.35160	+	7.68207i	0.854606	+	0.893022i
$75$	−2.46566	−	10.8027i	−0.284709	−	1.24739i
$76$	−1.12449	−	2.62417i	−0.128988	−	0.301013i
$77$	3.52486	+	5.45977i	0.401695	+	0.622199i
$78$	0.435019	+	0.0587229i	0.0492562	+	0.00664906i
$79$		−	0.238695i		−	0.0268553i	−0.999910	−	0.0134277i	$-0.995726\pi$
$79$		−	0.238695i		−	0.0268553i	0.999910	−	0.0134277i	$-0.00427429\pi$
$80$	−5.66385	−	15.0070i	−0.633238	−	1.67783i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−0.567099	−	0.948169i	−0.0626256	−	0.104708i
$83$	−0.444225	−	0.557040i	−0.0487600	−	0.0611431i	0.756854	−	0.653585i	$-0.226736\pi$
$83$	−0.444225	−	0.557040i	−0.0487600	−	0.0611431i	−0.805614	+	0.592441i	$0.798164\pi$
$84$	1.90498	−	4.93671i	0.207850	−	0.538639i
$85$	−4.06146	+	5.09291i	−0.440527	+	0.552404i
$86$	−14.1344	−	1.90799i	−1.52415	−	0.205744i
$87$	−2.00045	+	2.50849i	−0.214471	+	0.268938i
$88$	4.57824	+	5.22560i	0.488042	+	0.557050i
$89$	6.14285	−	4.89876i	0.651141	−	0.519268i	−0.241289	−	0.970453i	$-0.577570\pi$
$89$	6.14285	−	4.89876i	0.651141	−	0.519268i	0.892430	+	0.451186i	$0.148999\pi$
$90$	1.99022	−	5.31038i	0.209788	−	0.559763i
$91$	−0.445426	−	0.689935i	−0.0466933	−	0.0723249i
$92$	2.27357	+	3.12323i	0.237036	+	0.325619i
$93$	−7.81309	−	3.76259i	−0.810180	−	0.390162i
$94$	−5.79165	−	17.7969i	−0.597363	−	1.83561i
$95$	−2.48366	+	5.15738i	−0.254819	+	0.529136i
$96$	1.24604	−	5.51792i	0.127173	−	0.563170i
$97$		−	11.4209i		−	1.15961i	−0.814754	−	0.579807i	$-0.803128\pi$
$97$		−	11.4209i		−	1.15961i	0.814754	−	0.579807i	$-0.196872\pi$
$98$	−9.33549	+	3.29373i	−0.943027	+	0.332717i
$99$			2.45630i			0.246867i
$100$	−10.4834	+	19.5247i	−1.04834	+	1.95247i
$101$	−5.62532	+	11.6811i	−0.559740	+	1.16231i	0.408608	+	0.912710i	$0.366014\pi$
$101$	−5.62532	+	11.6811i	−0.559740	+	1.16231i	−0.968348	+	0.249602i	$0.919700\pi$
$102$	−2.18453	+	0.710913i	−0.216301	+	0.0703909i
$103$	11.8653	+	5.71403i	1.16912	+	0.563020i	0.914724	−	0.404080i	$-0.132408\pi$
$103$	11.8653	+	5.71403i	1.16912	+	0.563020i	0.254399	+	0.967099i	$0.418122\pi$
$104$	−0.578539	−	0.660343i	−0.0567304	−	0.0647520i
$105$	−9.97045	+	3.62685i	−0.973016	+	0.353944i
$106$	17.1695	+	6.43477i	1.66765	+	0.625000i
$107$	13.8868	−	11.0744i	1.34249	−	1.07060i	0.351567	−	0.936163i	$-0.385649\pi$
$107$	13.8868	−	11.0744i	1.34249	−	1.07060i	0.990922	−	0.134436i	$-0.0429223\pi$
$108$	1.61695	−	1.17706i	0.155591	−	0.113263i
$109$	6.29295	−	7.89110i	0.602755	−	0.755831i	−0.383050	−	0.923728i	$-0.625126\pi$
$109$	6.29295	−	7.89110i	0.602755	−	0.755831i	0.985805	+	0.167897i	$0.0536976\pi$
$110$	1.86348	−	13.8046i	0.177676	−	1.31622i
$111$	4.68780	−	5.87832i	0.444946	−	0.557945i
$112$	−9.36071	+	4.93731i	−0.884504	+	0.466532i
$113$	3.58841	+	4.49973i	0.337569	+	0.423299i	0.921423	−	0.388560i	$-0.127027\pi$
$113$	3.58841	+	4.49973i	0.337569	+	0.423299i	−0.583854	+	0.811859i	$0.698456\pi$
$114$	−1.73252	+	1.03622i	−0.162265	+	0.0970508i
$115$	1.72357	−	7.55146i	0.160724	−	0.704177i
$116$	6.31276	−	1.15162i	0.586125	−	0.106925i
$117$		−	0.310395i		−	0.0286960i
$118$	−1.56649	+	11.6046i	−0.144207	+	1.06829i
$119$	3.66690	+	2.24173i	0.336144	+	0.205499i
$120$	−9.98040	+	5.38852i	−0.911081	+	0.491902i
$121$	−1.10517	−	4.84208i	−0.100470	−	0.440189i
$122$	−6.23252	+	5.96441i	−0.564266	+	0.539992i
$123$	−0.610787	+	0.487086i	−0.0550728	+	0.0439191i
$124$	6.83125	+	15.9418i	0.613464	+	1.43161i
$125$	23.7720	−	5.42581i	2.12624	−	0.485299i
$126$	−3.63960	−	0.867932i	−0.324241	−	0.0773215i
$127$	2.78399	+	0.635427i	0.247039	+	0.0563850i	0.344247	−	0.938879i	$-0.388134\pi$
$127$	2.78399	+	0.635427i	0.247039	+	0.0563850i	−0.0972083	+	0.995264i	$0.530991\pi$
$128$	−9.13145	+	6.67957i	−0.807114	+	0.590396i
$129$			10.0852i			0.887952i
$130$	−0.235482	+	1.74445i	−0.0206531	+	0.152999i
$131$	6.09532	−	2.93535i	0.532551	−	0.256463i	−0.148226	−	0.988953i	$-0.547356\pi$
$131$	6.09532	−	2.93535i	0.532551	−	0.256463i	0.680777	+	0.732490i	$0.261642\pi$
$132$	3.22877	−	3.70252i	0.281028	−	0.322263i
$133$	3.57986	+	1.20351i	0.310413	+	0.104357i
$134$	7.17928	+	4.73424i	0.620195	+	0.408976i
$135$	−3.90952	−	0.892322i	−0.336478	−	0.0767988i
$136$	4.22736	+	1.79994i	0.362493	+	0.154344i
$137$	−10.6423	+	5.12507i	−0.909234	+	0.437864i	−0.829215	−	0.558929i	$-0.811212\pi$
$137$	−10.6423	+	5.12507i	−0.909234	+	0.437864i	−0.0800187	+	0.996793i	$0.525498\pi$
$138$	1.97354	−	1.88864i	0.167999	−	0.160772i
$139$	13.3669	+	6.43717i	1.13377	+	0.545993i	0.904119	−	0.427281i	$-0.140528\pi$
$139$	13.3669	+	6.43717i	1.13377	+	0.545993i	0.229648	+	0.973274i	$0.426243\pi$
$140$	19.7965	+	7.63906i	1.67311	+	0.645618i
$141$	−11.9233	+	5.74198i	−1.00413	+	0.483562i
$142$	0.500604	−	1.33573i	0.0420097	−	0.112092i
$143$	−0.169655	−	0.743307i	−0.0141873	−	0.0621584i
$144$	−3.98455	−	0.351201i	−0.332046	−	0.0292667i
$145$	−10.0592	−	8.02192i	−0.835369	−	0.666184i
$146$	−0.919873	−	10.1681i	−0.0761292	−	0.841514i
$147$	3.19116	+	6.23029i	0.263203	+	0.513865i
$148$	−14.7932	+	2.69867i	−1.21599	+	0.221829i
$149$	4.61083	−	5.78180i	0.377734	−	0.473664i	−0.556231	−	0.831028i	$-0.687753\pi$
$149$	4.61083	−	5.78180i	0.377734	−	0.473664i	0.933965	+	0.357364i	$0.116324\pi$
$150$	14.6736	+	5.49937i	1.19809	+	0.449021i
$151$	−4.54522	+	1.03742i	−0.369885	+	0.0844238i	−0.403423	−	0.915014i	$-0.632180\pi$
$151$	−4.54522	+	1.03742i	−0.369885	+	0.0844238i	0.0335381	+	0.999437i	$0.489322\pi$
$152$	3.97362	+	0.715424i	0.322303	+	0.0580285i
$153$	0.704816	+	1.46357i	0.0569810	+	0.118322i
$154$	−9.19019	−	0.0891234i	−0.740566	−	0.00718177i
$155$	15.0882	−	31.3309i	1.21191	−	2.51656i
$156$	−0.408010	+	0.467876i	−0.0326669	+	0.0374601i
$157$	8.25140	+	17.1342i	0.658533	+	1.36746i	0.916003	+	0.401172i	$0.131397\pi$
$157$	8.25140	+	17.1342i	0.658533	+	1.36746i	−0.257470	+	0.966286i	$0.582889\pi$
$158$	0.281810	+	0.185834i	0.0224196	+	0.0147842i
$159$	2.88505	−	12.6402i	0.228799	−	1.00243i
$160$	22.1272	+	4.99668i	1.74931	+	0.395022i
$161$	−5.08493	−	0.509778i	−0.400749	−	0.0401761i
$162$	−0.977782	−	1.02174i	−0.0768218	−	0.0802751i
$163$	8.58643	+	17.8299i	0.672541	+	1.39655i	0.905621	+	0.424088i	$0.139405\pi$
$163$	8.58643	+	17.8299i	0.672541	+	1.39655i	−0.233080	+	0.972458i	$0.574880\pi$
$164$	1.56094	+	0.0686580i	0.121889	+	0.00536129i
$165$	−9.84989			−0.766813
$166$	1.00350	−	0.0907839i	0.0778869	−	0.00704619i
$167$	−3.53936	+	15.5069i	−0.273884	+	1.19996i	0.631503	+	0.775374i	$0.282439\pi$
$167$	−3.53936	+	15.5069i	−0.273884	+	1.19996i	−0.905386	+	0.424589i	$0.860419\pi$
$168$	4.34529	+	6.09249i	0.335247	+	0.470046i
$169$	−2.87133	−	12.5801i	−0.220872	−	0.967703i
$170$	−2.85080	−	8.76010i	−0.218646	−	0.671869i
$171$	0.890017	+	1.11605i	0.0680613	+	0.0853462i
$172$	13.2569	−	15.2020i	1.01083	−	1.15914i
$173$	4.54378	−	1.03709i	0.345457	−	0.0788483i	−0.0462722	−	0.998929i	$-0.514734\pi$
$173$	4.54378	−	1.03709i	0.345457	−	0.0788483i	0.391729	+	0.920081i	$0.371877\pi$
$174$	−1.40415	−	4.31474i	−0.106448	−	0.327100i
$175$	−10.0217	−	27.5503i	−0.757568	−	2.08260i
$176$	−9.73381	+	1.33684i	−0.733714	+	0.100768i
$177$	8.28008			0.622369
$178$	1.00113	+	11.0663i	0.0750382	+	0.829454i
$179$	21.7558	+	4.96563i	1.62611	+	0.371148i	0.935845	−	0.352411i	$-0.114638\pi$
$179$	21.7558	+	4.96563i	1.62611	+	0.371148i	0.690262	+	0.723559i	$0.257495\pi$
$180$	4.72009	+	6.48405i	0.351815	+	0.483293i
$181$	9.90551	−	7.89938i	0.736271	−	0.587157i	−0.181911	−	0.983315i	$-0.558228\pi$
$181$	9.90551	−	7.89938i	0.736271	−	0.587157i	0.918182	+	0.396158i	$0.129657\pi$
$182$	1.16134	+	0.0112623i	0.0860840	+	0.000834815i
$183$	4.76912	+	3.80325i	0.352544	+	0.281144i
$184$	−5.45742	+	0.252666i	−0.402327	+	0.0186268i
$185$	23.5724	+	18.7983i	1.73308	+	1.38208i
$186$	10.5250	−	6.29500i	0.771731	−	0.461572i
$187$	2.48778	+	3.11958i	0.181925	+	0.228126i
$188$	25.5205	+	7.01786i	1.86127	+	0.511830i
$189$	−0.263921	+	2.63256i	−0.0191974	+	0.191490i
$190$	−4.15530	−	6.94751i	−0.301457	−	0.504025i
$191$	4.06851	−	8.44835i	0.294387	−	0.611301i	−0.700346	−	0.713804i	$-0.746971\pi$
$191$	4.06851	−	8.44835i	0.294387	−	0.611301i	0.994733	+	0.102503i	$0.0326851\pi$
$192$	5.54449	+	5.76702i	0.400139	+	0.416199i
$193$	1.83402	+	0.883216i	0.132015	+	0.0635752i	0.498725	−	0.866760i	$-0.333802\pi$
$193$	1.83402	+	0.883216i	0.132015	+	0.0635752i	−0.366710	+	0.930335i	$0.619516\pi$
$194$	13.4838	+	8.89162i	0.968078	+	0.638381i
$195$	1.24470			0.0891349
$196$	3.37941	−	13.5860i	0.241386	−	0.970429i
$197$	−10.1400			−0.722445			−0.361223	−	0.932480i	$-0.617641\pi$
$197$	−10.1400			−0.722445			−0.361223	+	0.932480i	$0.617641\pi$
$198$	−2.89996	−	1.91233i	−0.206091	−	0.135903i
$199$	13.6421	+	6.56970i	0.967065	+	0.465714i	0.849637	−	0.527367i	$-0.176821\pi$
$199$	13.6421	+	6.56970i	0.967065	+	0.465714i	0.117428	+	0.993081i	$0.462535\pi$
$200$	−14.8895	−	27.5778i	−1.05285	−	1.95004i
$201$	2.63841	−	5.47872i	0.186099	−	0.386439i
$202$	−9.41144	−	15.7356i	−0.662187	−	1.10715i
$203$	−4.42772	+	7.24261i	−0.310765	+	0.508332i
$204$	0.861428	−	3.13259i	0.0603120	−	0.219325i
$205$	−1.95324	−	2.44929i	−0.136420	−	0.171066i
$206$	−15.9837	+	9.55985i	−1.11364	+	0.666067i
$207$	−1.51015	−	1.20431i	−0.104963	−	0.0837051i
$208$	1.23003	−	0.168933i	0.0852875	−	0.0117134i
$209$	2.74134	+	2.18615i	0.189622	+	0.151219i
$210$	3.48046	−	14.5950i	0.240174	−	1.00715i
$211$	−18.9683	+	15.1267i	−1.30583	+	1.04137i	−0.309947	+	0.950754i	$0.600311\pi$
$211$	−18.9683	+	15.1267i	−1.30583	+	1.04137i	−0.995886	+	0.0906129i	$0.971117\pi$
$212$	−20.9642	+	15.2610i	−1.43983	+	1.04813i
$213$	−0.983366	−	0.224447i	−0.0673791	−	0.0153789i
$214$	2.26321	+	25.0170i	0.154710	+	1.71012i
$215$	−40.4422			−2.75814
$216$	0.130810	+	2.82540i	0.00890047	+	0.192244i
$217$	−21.7475	−	7.31128i	−1.47632	−	0.496322i
$218$	4.41711	+	13.5732i	0.299165	+	0.919290i
$219$	−7.03826	+	1.60644i	−0.475601	+	0.108553i
$220$	14.8473	+	12.9475i	1.00100	+	0.872923i
$221$	−0.314374	−	0.394212i	−0.0211471	−	0.0265176i
$222$	3.29044	+	10.1110i	0.220840	+	0.678609i
$223$	−3.67471	−	16.1000i	−0.246077	−	1.07813i	−0.935376	−	0.353656i	$-0.884938\pi$
$223$	−3.67471	−	16.1000i	−0.246077	−	1.07813i	0.689299	−	0.724477i	$-0.257919\pi$
$224$	1.45859	−	14.8954i	0.0974558	−	0.995240i
$225$	2.46566	−	10.8027i	0.164377	−	0.720183i
$226$	−8.10621	+	0.733345i	−0.539217	+	0.0487814i
$227$	−19.7568			−1.31130			−0.655652	−	0.755063i	$-0.727606\pi$
$227$	−19.7568			−1.31130			−0.655652	+	0.755063i	$0.727606\pi$
$228$	0.125454	−	2.85220i	0.00830839	−	0.188891i
$229$	2.73774	+	5.68497i	0.180915	+	0.375673i	0.971628	−	0.236513i	$-0.0760046\pi$
$229$	2.73774	+	5.68497i	0.180915	+	0.375673i	−0.790714	+	0.612186i	$0.790290\pi$
$230$	7.57356	+	7.91401i	0.499386	+	0.521834i
$231$	0.806881	+	6.44846i	0.0530889	+	0.424278i
$232$	−3.55512	+	8.34958i	−0.233405	+	0.548177i
$233$	−1.42205	+	6.23043i	−0.0931619	+	0.408169i	−0.999909	−	0.0135064i	$-0.995701\pi$
$233$	−1.42205	+	6.23043i	−0.0931619	+	0.408169i	0.906747	+	0.421675i	$0.138558\pi$
$234$	0.366460	+	0.241655i	0.0239562	+	0.0157975i
$235$	−23.0257	−	47.8133i	−1.50203	−	3.11899i
$236$	−12.4810	−	10.8841i	−0.812446	−	0.708492i
$237$	0.103566	−	0.215057i	0.00672734	−	0.0139695i
$238$	−5.50148	+	2.58395i	−0.356608	+	0.167493i
$239$	−9.10570	−	18.9082i	−0.588999	−	1.22307i	−0.956142	−	0.292904i	$-0.905378\pi$
$239$	−9.10570	−	18.9082i	−0.588999	−	1.22307i	0.367143	−	0.930164i	$-0.380336\pi$
$240$	1.40833	−	15.9783i	0.0909076	−	1.03139i
$241$	24.3406	−	5.55558i	1.56791	−	0.357866i	0.651676	−	0.758498i	$-0.274066\pi$
$241$	24.3406	−	5.55558i	1.56791	−	0.357866i	0.916239	+	0.400632i	$0.131209\pi$
$242$	6.57711	+	2.46497i	0.422792	+	0.158454i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	−2.18945	−	12.0018i	−0.140165	−	0.768336i
$245$	−24.9838	+	12.7967i	−1.59616	+	0.817554i
$246$	−0.0995432	−	1.10033i	−0.00634664	−	0.0701542i
$247$	−0.346415	−	0.276257i	−0.0220419	−	0.0175778i
$248$	−24.1396	−	4.34618i	−1.53287	−	0.275983i
$249$	−0.158542	−	0.694618i	−0.0100472	−	0.0440196i
$250$	−12.1017	+	32.2901i	−0.765376	+	2.04220i
$251$	−18.0922	+	8.71273i	−1.14197	+	0.549943i	−0.906611	−	0.421966i	$-0.861340\pi$
$251$	−18.0922	+	8.71273i	−1.14197	+	0.549943i	−0.235356	+	0.971909i	$0.575626\pi$
$252$	3.85828	−	3.62128i	0.243049	−	0.228119i
$253$	−4.27463	−	2.05855i	−0.268743	−	0.129420i
$254$	−2.91765	+	2.79214i	−0.183070	+	0.175194i
$255$	−5.86898	+	2.82635i	−0.367530	+	0.176993i
$256$	−0.776858	−	15.9811i	−0.0485536	−	0.998821i
$257$	−19.9692	−	4.55783i	−1.24564	−	0.284310i	−0.451627	−	0.892207i	$-0.649156\pi$
$257$	−19.9692	−	4.55783i	−1.24564	−	0.284310i	−0.794016	+	0.607897i	$0.792013\pi$
$258$	−11.9068	−	7.85174i	−0.741287	−	0.488828i
$259$	10.3758	−	16.9721i	0.644720	−	1.05460i
$260$	−1.87621	−	1.63614i	−0.116358	−	0.101469i
$261$	−2.89073	+	1.39210i	−0.178932	+	0.0861691i
$262$	−1.27991	+	9.48158i	−0.0790731	+	0.585774i
$263$			25.2707i			1.55826i	0.626863	+	0.779129i	$0.284339\pi$
$263$			25.2707i			1.55826i	−0.626863	+	0.779129i	$0.715661\pi$
$264$	1.85755	+	6.69452i	0.114324	+	0.412019i
$265$	50.6880	+	11.5692i	3.11374	+	0.710690i
$266$	−4.20796	+	3.28949i	−0.258007	+	0.201691i
$267$	7.66001	−	1.74835i	0.468785	−	0.106997i
$268$	−11.1787	+	4.79023i	−0.682849	+	0.292610i
$269$	−0.630154	+	0.502531i	−0.0384212	+	0.0306399i	−0.642512	−	0.766276i	$-0.722108\pi$
$269$	−0.630154	+	0.502531i	−0.0384212	+	0.0306399i	0.604091	+	0.796915i	$0.293536\pi$
$270$	4.09722	−	3.92096i	0.249349	−	0.238622i
$271$	−0.726522	−	3.18310i	−0.0441331	−	0.193360i	0.948056	−	0.318104i	$-0.103046\pi$
$271$	−0.726522	−	3.18310i	−0.0441331	−	0.193360i	−0.992189	+	0.124744i	$0.960189\pi$
$272$	−5.41622	+	3.58959i	−0.328407	+	0.217651i
$273$	−0.101963	−	0.814874i	−0.00617110	−	0.0493184i
$274$	2.23470	−	16.5546i	0.135003	−	1.00010i
$275$		−	27.2171i		−	1.64125i
$276$	0.693295	+	3.80039i	0.0417314	+	0.228757i
$277$	0.236966	−	1.03822i	0.0142379	−	0.0623804i	−0.967310	−	0.253597i	$-0.918386\pi$
$277$	0.236966	−	1.03822i	0.0142379	−	0.0623804i	0.981548	+	0.191217i	$0.0612434\pi$
$278$	−18.0066	+	10.7697i	−1.07996	+	0.645924i
$279$	−5.40683	−	6.77995i	−0.323698	−	0.405905i
$280$	−24.4312	+	17.4249i	−1.46005	+	1.04134i
$281$	7.29942	−	9.15318i	0.435447	−	0.546033i	−0.514890	−	0.857256i	$-0.672167\pi$
$281$	7.29942	−	9.15318i	0.435447	−	0.546033i	0.950337	+	0.311223i	$0.100739\pi$
$282$	2.50369	−	18.5474i	0.149093	−	1.10448i
$283$	3.85859	−	4.83852i	0.229370	−	0.287620i	−0.653807	−	0.756662i	$-0.726829\pi$
$283$	3.85859	−	4.83852i	0.229370	−	0.287620i	0.883176	+	0.469041i	$0.155400\pi$
$284$	1.18725	+	1.63094i	0.0704504	+	0.0967787i
$285$	−4.47541	+	3.56902i	−0.265100	+	0.211410i
$286$	1.00965	+	0.378396i	0.0597018	+	0.0223750i
$287$	−1.44348	+	1.47938i	−0.0852059	+	0.0873249i
$288$	3.51677	−	4.43084i	0.207228	−	0.261089i
$289$	−12.9390	−	6.23110i	−0.761118	−	0.366535i
$290$	17.3023	−	5.63071i	1.01603	−	0.330646i
$291$	4.95533	−	10.2899i	0.290487	−	0.603202i
$292$	12.7208	+	6.83022i	0.744429	+	0.399708i
$293$			6.07355i			0.354821i	0.984137	+	0.177410i	$0.0567720\pi$
$293$			6.07355i			0.354821i	−0.984137	+	0.177410i	$0.943228\pi$
$294$	−9.84008	−	1.08297i	−0.573885	−	0.0631602i
$295$			33.2036i			1.93319i
$296$	8.33096	−	19.5662i	0.484227	−	1.13726i
$297$	−1.06575	+	2.21305i	−0.0618409	+	0.128414i
$298$	3.23641	+	9.94503i	0.187480	+	0.576100i
$299$	0.540172	+	0.260133i	0.0312390	+	0.0150439i
$300$	−17.9167	+	13.0425i	−1.03442	+	0.753010i
$301$	3.31294	+	26.4765i	0.190955	+	1.52608i
$302$	2.31384	−	6.17387i	0.133147	−	0.355266i
$303$	−10.1365	+	8.08357i	−0.582325	+	0.464389i
$304$	−3.93828	+	4.13437i	−0.225876	+	0.237122i
$305$	−15.2512	+	19.1244i	−0.873283	+	1.09506i
$306$	−2.27665	−	0.307323i	−0.130147	−	0.0175685i
$307$	2.70001	−	3.38571i	0.154098	−	0.193233i	−0.698790	−	0.715327i	$-0.746278\pi$
$307$	2.70001	−	3.38571i	0.154098	−	0.193233i	0.852888	+	0.522094i	$0.174849\pi$
$308$	7.26016	−	10.7808i	0.413686	−	0.614292i
$309$	8.21104	+	10.2963i	0.467110	+	0.585737i
$310$	25.2433	+	42.2059i	1.43372	+	2.39713i
$311$	4.85399	−	21.2667i	0.275244	−	1.20592i	−0.628485	−	0.777821i	$-0.716325\pi$
$311$	4.85399	−	21.2667i	0.275244	−	1.20592i	0.903730	−	0.428103i	$-0.140818\pi$
$312$	−0.234733	−	0.845967i	−0.0132892	−	0.0478935i
$313$		−	33.2539i		−	1.87962i	−0.341697	−	0.939810i	$-0.611002\pi$
$313$		−	33.2539i		−	1.87962i	0.341697	−	0.939810i	$-0.388998\pi$
$314$	−26.6531	−	3.59788i	−1.50412	−	0.203040i
$315$	−10.5567	−	1.05834i	−0.594802	−	0.0596305i
$316$	−0.438801	+	0.188032i	−0.0246845	+	0.0105776i
$317$	−3.73011	−	16.3427i	−0.209504	−	0.917897i	−0.964898	−	0.262626i	$-0.915411\pi$
$317$	−3.73011	−	16.3427i	−0.209504	−	0.917897i	0.755394	−	0.655271i	$-0.227446\pi$
$318$	12.6772	+	13.2471i	0.710903	+	0.742859i
$319$	−6.16158	+	4.91370i	−0.344982	+	0.275114i
$320$	−23.1261	+	22.2337i	−1.29279	+	1.24290i
$321$	17.3166	−	3.95239i	0.966517	−	0.220601i
$322$	4.56068	−	5.60651i	0.254157	−	0.312439i
$323$	2.26071	+	0.515991i	0.125789	+	0.0287105i
$324$	1.96753	−	0.358930i	0.109307	−	0.0199406i
$325$			3.43935i			0.190781i
$326$	−27.7353	−	3.74397i	−1.53612	−	0.207359i
$327$	9.09357	−	4.37923i	0.502876	−	0.242172i
$328$	−1.29632	+	1.78943i	−0.0715771	+	0.0988049i
$329$	−29.4159	+	18.9911i	−1.62175	+	1.04701i
$330$	7.66854	−	11.6290i	0.422139	−	0.640156i
$331$	−9.44019	−	2.15466i	−0.518880	−	0.118431i	−0.0449426	−	0.998990i	$-0.514310\pi$
$331$	−9.44019	−	2.15466i	−0.518880	−	0.118431i	−0.473937	+	0.880559i	$0.657168\pi$
$332$	−0.674086	+	1.25544i	−0.0369953	+	0.0689011i
$333$	6.77407	−	3.26222i	0.371217	−	0.178769i
$334$	−15.5523	−	16.2514i	−0.850986	−	0.889239i
$335$	21.9700	+	10.5802i	1.20035	+	0.578057i
$336$	−10.5759	+	0.386906i	−0.576964	+	0.0211075i
$337$	21.3686	−	10.2906i	1.16402	−	0.560564i	0.250806	−	0.968037i	$-0.419304\pi$
$337$	21.3686	−	10.2906i	1.16402	−	0.560564i	0.913217	+	0.407473i	$0.133590\pi$
$338$	17.0879	+	6.40418i	0.929457	+	0.348342i
$339$	1.28069	+	5.61107i	0.0695575	+	0.304751i
$340$	12.5619	+	3.45437i	0.681262	+	0.187340i
$341$	−16.6536	−	13.2808i	−0.901841	−	0.719194i
$342$	−2.01055	+	0.181888i	−0.108718	+	0.00983538i
$343$	10.4243	+	15.3080i	0.562860	+	0.826552i
$344$	7.62684	+	27.4867i	0.411212	+	1.48199i
$345$	4.82934	−	6.05580i	0.260003	−	0.326033i
$346$	−2.31311	+	6.17191i	−0.124353	+	0.331804i
$347$	6.41533	−	1.46426i	0.344393	−	0.0786054i	−0.0468261	−	0.998903i	$-0.514911\pi$
$347$	6.41533	−	1.46426i	0.344393	−	0.0786054i	0.391219	+	0.920298i	$0.372054\pi$
$348$	6.18727	+	1.70143i	0.331673	+	0.0912064i
$349$	0.515468	+	1.07038i	0.0275923	+	0.0572961i	0.914309	−	0.405016i	$-0.132734\pi$
$349$	0.515468	+	1.07038i	0.0275923	+	0.0572961i	−0.886717	+	0.462312i	$0.847020\pi$
$350$	40.3288	+	9.61717i	2.15567	+	0.514059i
$351$	0.134675	−	0.279656i	0.00718844	−	0.0149269i
$352$	5.99987	−	12.5328i	0.319794	−	0.667999i
$353$	−8.80931	−	18.2927i	−0.468872	−	0.973623i	−0.992565	−	0.121716i	$-0.961160\pi$
$353$	−8.80931	−	18.2927i	−0.468872	−	0.973623i	0.523693	−	0.851907i	$-0.324554\pi$
$354$	−6.44638	+	9.77567i	−0.342621	+	0.519571i
$355$	0.900045	−	3.94335i	0.0477694	−	0.209292i
$356$	−13.8446	−	7.43360i	−0.733760	−	0.393980i
$357$	2.33111	+	3.61074i	0.123376	+	0.191101i
$358$	−22.8004	+	21.8195i	−1.20504	+	1.15320i
$359$	9.12727	+	18.9530i	0.481719	+	1.00030i	0.990256	+	0.139259i	$0.0444721\pi$
$359$	9.12727	+	18.9530i	0.481719	+	1.00030i	−0.508537	+	0.861040i	$0.669814\pi$
$360$	−11.3300	+	0.524554i	−0.597144	+	0.0276464i
$361$	−16.9623			−0.892753
$362$	1.61436	+	17.8447i	0.0848486	+	0.937896i
$363$	1.10517	−	4.84208i	0.0580066	−	0.254144i
$364$	−0.917445	+	1.36233i	−0.0480872	+	0.0714057i
$365$	−6.44190	−	28.2238i	−0.337185	−	1.47730i
$366$	−8.20316	+	2.66956i	−0.428786	+	0.139540i
$367$	8.17245	+	10.2479i	0.426599	+	0.534938i	0.947956	−	0.318401i	$-0.103146\pi$
$367$	8.17245	+	10.2479i	0.426599	+	0.534938i	−0.521358	+	0.853338i	$0.674574\pi$
$368$	3.95052	−	6.63988i	0.205935	−	0.346128i
$369$	−0.761638	+	0.173839i	−0.0396493	+	0.00904970i
$370$	−40.5458	+	13.1948i	−2.10788	+	0.685967i
$371$	3.42180	−	34.1318i	0.177651	−	1.77204i
$372$	−0.762129	+	17.3270i	−0.0395145	+	0.898363i
$373$	27.6235			1.43029			0.715146	−	0.698975i	$-0.246360\pi$
$373$	27.6235			1.43029			0.715146	+	0.698975i	$0.246360\pi$
$374$	−5.61990	+	0.508415i	−0.290598	+	0.0262895i
$375$	23.7720	+	5.42581i	1.22758	+	0.280188i
$376$	−28.1542	+	24.6664i	−1.45194	+	1.27207i
$377$	0.778621	−	0.620930i	0.0401010	−	0.0319795i
$378$	−2.90259	−	2.36114i	−0.149293	−	0.121444i
$379$	−9.78249	−	7.80128i	−0.502493	−	0.400725i	0.339172	−	0.940724i	$-0.389853\pi$
$379$	−9.78249	−	7.80128i	−0.502493	−	0.400725i	−0.841665	+	0.539999i	$0.818424\pi$
$380$	11.4375	+	0.503077i	0.586730	+	0.0258073i
$381$	2.23258	+	1.78043i	0.114379	+	0.0912140i
$382$	6.80682	+	11.3808i	0.348267	+	0.582291i
$383$	23.7990	+	29.8430i	1.21607	+	1.52491i	0.781028	+	0.624496i	$0.214696\pi$
$383$	23.7990	+	29.8430i	1.21607	+	1.52491i	0.435044	+	0.900409i	$0.356733\pi$
$384$	−11.1253	+	2.05610i	−0.567736	+	0.104925i
$385$	−25.8587	+	3.23564i	−1.31788	+	0.164903i
$386$	−2.47060	+	1.47766i	−0.125750	+	0.0752111i
$387$	−4.37580	+	9.08645i	−0.222435	+	0.461890i
$388$	−20.9953	+	8.99677i	−1.06588	+	0.456742i
$389$	−11.1236	−	5.35685i	−0.563990	−	0.271603i	0.130089	−	0.991502i	$-0.458474\pi$
$389$	−11.1236	−	5.35685i	−0.563990	−	0.271603i	−0.694079	+	0.719899i	$0.744188\pi$
$390$	−0.969051	+	1.46952i	−0.0490698	+	0.0744123i
$391$	−3.13769			−0.158680
$392$	13.4090	+	14.5671i	0.677255	+	0.735749i
$393$	6.76530			0.341264
$394$	7.89441	−	11.9715i	0.397715	−	0.603117i
$395$	0.862392	+	0.415306i	0.0433916	+	0.0208963i
$396$	4.51548	−	1.93494i	0.226911	−	0.0972345i
$397$	−4.76734	+	9.89948i	−0.239266	+	0.496840i	−0.985677	−	0.168645i	$-0.946061\pi$
$397$	−4.76734	+	9.89948i	−0.239266	+	0.496840i	0.746411	+	0.665485i	$0.231775\pi$
$398$	−18.3773	+	10.9914i	−0.921171	+	0.550951i
$399$	2.70316	+	2.63757i	0.135327	+	0.132043i
$400$	44.1511	+	3.89150i	2.20755	+	0.194575i
$401$	−13.2547	−	16.6208i	−0.661907	−	0.830005i	0.331642	−	0.943405i	$-0.392397\pi$
$401$	−13.2547	−	16.6208i	−0.661907	−	0.830005i	−0.993549	+	0.113400i	$0.963826\pi$
$402$	4.41419	+	7.38038i	0.220160	+	0.368100i
$403$	2.10446	+	1.67825i	0.104831	+	0.0835997i
$404$	25.9050	+	1.13943i	1.28882	+	0.0566889i
$405$	−3.13519	−	2.50023i	−0.155789	−	0.124237i
$406$	−5.10365	−	10.8661i	−0.253290	−	0.539277i
$407$	14.4389	−	11.5146i	0.715709	−	0.570759i
$408$	3.02775	+	3.45587i	0.149896	+	0.171091i
$409$	3.81724	+	0.871260i	0.188750	+	0.0430810i	0.315851	−	0.948809i	$-0.397710\pi$
$409$	3.81724	+	0.871260i	0.188750	+	0.0430810i	−0.127101	+	0.991890i	$0.540567\pi$
$410$	4.41237	−	0.399174i	0.217911	−	0.0197138i
$411$	−11.8121			−0.582647
$412$	1.15740	−	26.3135i	0.0570211	−	1.29637i
$413$	21.7375	−	2.71997i	1.06963	−	0.133841i
$414$	2.59755	−	0.845321i	0.127663	−	0.0415452i
$415$	2.78546	−	0.635762i	0.136733	−	0.0312084i
$416$	−0.758186	+	1.58373i	−0.0371731	+	0.0776487i
$417$	9.25019	+	11.5994i	0.452984	+	0.568024i
$418$	−4.71526	+	1.53449i	−0.230631	+	0.0750543i
$419$	1.12680	+	4.93683i	0.0550478	+	0.241180i	0.994965	−	0.100222i	$-0.0319553\pi$
$419$	1.12680	+	4.93683i	0.0550478	+	0.241180i	−0.939917	+	0.341402i	$0.889098\pi$
$420$	14.5215	+	15.4719i	0.708579	+	0.754953i
$421$	3.41276	−	14.9523i	0.166328	−	0.728729i	−0.821117	−	0.570761i	$-0.806648\pi$
$421$	3.41276	−	14.9523i	0.166328	−	0.728729i	0.987444	−	0.157968i	$-0.0504944\pi$
$422$	−3.09137	−	34.1712i	−0.150485	−	1.66343i
$423$	−13.2339			−0.643455
$424$	−1.69598	−	36.6321i	−0.0823643	−	1.77901i
$425$	−7.80975	−	16.2171i	−0.378829	−	0.786646i
$426$	1.03058	−	0.986245i	0.0499317	−	0.0477837i
$427$	13.7696	+	8.41795i	0.666359	+	0.407373i
$428$	−31.2976	−	16.8047i	−1.51283	−	0.812287i
$429$	0.169655	−	0.743307i	0.00819102	−	0.0358872i
$430$	31.4859	−	47.7471i	1.51839	−	2.30257i
$431$	−15.8523	−	32.9176i	−0.763578	−	1.58559i	−0.809836	−	0.586656i	$-0.800444\pi$
$431$	−15.8523	−	32.9176i	−0.763578	−	1.58559i	0.0462587	−	0.998929i	$-0.485270\pi$
$432$	−3.43758	−	2.04525i	−0.165391	−	0.0984023i
$433$	−10.4384	+	21.6756i	−0.501639	+	1.04167i	0.484353	+	0.874873i	$0.339055\pi$
$433$	−10.4384	+	21.6756i	−0.501639	+	1.04167i	−0.985992	+	0.166792i	$0.946659\pi$
$434$	25.5632	−	19.9835i	1.22707	−	0.959241i
$435$	−5.58242	−	11.5920i	−0.267656	−	0.555794i
$436$	−19.4637	−	5.35231i	−0.932142	−	0.256329i
$437$	−2.68812	+	0.613547i	−0.128590	+	0.0293499i
$438$	3.58297	−	9.56022i	0.171201	−	0.456805i
$439$	11.4721	−	14.3855i	0.547531	−	0.686583i	−0.428667	−	0.903463i	$-0.641017\pi$
$439$	11.4721	−	14.3855i	0.547531	−	0.686583i	0.976198	+	0.216880i	$0.0695880\pi$
$440$	−26.8454	+	7.44889i	−1.27981	+	0.355112i
$441$	0.171916	+	6.99789i	0.00818649	+	0.333233i
$442$	0.710170	−	0.0642469i	0.0337793	−	0.00305591i
$443$	−8.95941	−	7.14489i	−0.425674	−	0.339464i	0.387105	−	0.922036i	$-0.373475\pi$
$443$	−8.95941	−	7.14489i	−0.425674	−	0.339464i	−0.812779	+	0.582572i	$0.802047\pi$
$444$	−14.4991	−	3.98709i	−0.688096	−	0.189219i
$445$	7.01098	+	30.7171i	0.332352	+	1.45613i
$446$	21.8689	+	8.19603i	1.03552	+	0.388093i
$447$	6.66285	−	3.20866i	0.315142	−	0.151764i
$448$	16.4503	+	13.3187i	0.777203	+	0.629250i
$449$	23.3309	+	11.2356i	1.10106	+	0.530240i	0.893990	−	0.448087i	$-0.147894\pi$
$449$	23.3309	+	11.2356i	1.10106	+	0.530240i	0.207065	+	0.978327i	$0.433609\pi$
$450$	10.8344	+	11.3214i	0.510737	+	0.533696i
$451$	−1.72889	+	0.832589i	−0.0814102	+	0.0392051i
$452$	5.44522	−	10.1413i	0.256121	−	0.477008i
$453$	−4.54522	−	1.03742i	−0.213553	−	0.0487421i
$454$	15.3815	−	23.3253i	0.721888	−	1.09471i
$455$	3.26769	−	0.408878i	0.153192	−	0.0191685i
$456$	3.26970	+	2.36867i	0.153118	+	0.110923i
$457$	15.5292	−	7.47849i	0.726427	−	0.349829i	−0.0338506	−	0.999427i	$-0.510777\pi$
$457$	15.5292	−	7.47849i	0.726427	−	0.349829i	0.760278	+	0.649598i	$0.225063\pi$
$458$	−8.84325	−	1.19374i	−0.413218	−	0.0557800i
$459$			1.62444i			0.0758222i
$460$	−15.2398	+	2.78015i	−0.710559	+	0.129625i
$461$	−32.6354	−	7.44882i	−1.51998	−	0.346926i	−0.620613	−	0.784117i	$-0.713116\pi$
$461$	−32.6354	−	7.44882i	−1.51998	−	0.346926i	−0.899369	+	0.437191i	$0.855973\pi$
$462$	−8.24140	−	4.06777i	−0.383425	−	0.189250i
$463$	−17.4932	+	3.99271i	−0.812978	+	0.185557i	−0.608745	−	0.793366i	$-0.708327\pi$
$463$	−17.4932	+	3.99271i	−0.812978	+	0.185557i	−0.204232	+	0.978922i	$0.565470\pi$
$464$	−7.08992	−	10.6978i	−0.329141	−	0.496631i
$465$	27.1880	−	21.6817i	1.26081	−	1.00546i
$466$	−6.24867	−	6.52956i	−0.289464	−	0.302476i
$467$	0.764367	+	3.34891i	0.0353707	+	0.154969i	0.989529	−	0.144332i	$-0.0461035\pi$
$467$	0.764367	+	3.34891i	0.0353707	+	0.154969i	−0.954159	+	0.299302i	$0.903246\pi$
$468$	−0.570608	+	0.244513i	−0.0263764	+	0.0113026i
$469$	5.12683	−	15.2499i	0.236735	−	0.704173i
$470$	74.3760	+	10.0399i	3.43071	+	0.463108i
$471$			19.0175i			0.876281i
$472$	22.5670	−	6.26174i	1.03873	−	0.288220i
$473$	−5.51234	+	24.1511i	−0.253458	+	1.11047i
$474$	0.173271	+	0.289704i	0.00795861	+	0.0133065i
$475$	−9.86188	−	12.3664i	−0.452494	−	0.567410i
$476$	1.23245	−	8.50689i	0.0564892	−	0.389913i
$477$	8.08372	−	10.1367i	0.370128	−	0.464126i
$478$	29.4126	+	3.97038i	1.34530	+	0.181601i
$479$	−7.47224	+	9.36989i	−0.341415	+	0.428121i	−0.922664	−	0.385605i	$-0.873993\pi$
$479$	−7.47224	+	9.36989i	−0.341415	+	0.428121i	0.581249	+	0.813726i	$0.302564\pi$
$480$	17.7679	+	14.1025i	0.810990	+	0.643686i
$481$	−1.82460	+	1.45507i	−0.0831946	+	0.0663455i
$482$	−12.3911	+	33.0623i	−0.564399	+	1.50595i
$483$	−4.36018	−	2.66556i	−0.198395	−	0.121287i
$484$	−8.03075	+	5.84601i	−0.365034	+	0.265728i
$485$	41.2629	+	19.8712i	1.87365	+	0.902303i
$486$	−0.437637	−	1.34480i	−0.0198516	−	0.0610011i
$487$	−10.1187	+	21.0117i	−0.458522	+	0.952131i	0.535662	+	0.844433i	$0.320062\pi$
$487$	−10.1187	+	21.0117i	−0.458522	+	0.952131i	−0.994184	+	0.107698i	$0.965652\pi$
$488$	15.8742	+	6.75897i	0.718591	+	0.305964i
$489$			19.7897i			0.894921i
$490$	4.34278	−	39.4593i	0.196187	−	1.78259i
$491$		−	1.71363i		−	0.0773351i	−0.999252	−	0.0386676i	$-0.987689\pi$
$491$		−	1.71363i		−	0.0773351i	0.999252	−	0.0386676i	$-0.0123113\pi$
$492$	1.37657	+	0.739126i	0.0620606	+	0.0333224i
$493$	−2.26138	+	4.69581i	−0.101848	+	0.211489i
$494$	0.595854	−	0.193909i	0.0268087	−	0.00872437i
$495$	−8.87444	−	4.27371i	−0.398877	−	0.192089i
$496$	23.9249	−	25.1162i	1.07426	−	1.12775i
$497$	−2.65534	−	0.266205i	−0.119108	−	0.0119409i
$498$	0.943514	+	0.353610i	0.0422799	+	0.0158456i
$499$	8.52168	−	6.79581i	0.381483	−	0.304222i	−0.413909	−	0.910318i	$-0.635837\pi$
$499$	8.52168	−	6.79581i	0.381483	−	0.304222i	0.795391	+	0.606096i	$0.207265\pi$
$500$	−28.7008	−	39.4266i	−1.28354	−	1.76321i
$501$	−9.91706	+	12.4356i	−0.443061	+	0.555581i
$502$	3.79904	−	28.1433i	0.169559	−	1.25610i
$503$	−3.29943	+	4.13736i	−0.147115	+	0.184476i	−0.849929	−	0.526898i	$-0.823355\pi$
$503$	−3.29943	+	4.13736i	−0.147115	+	0.184476i	0.702814	+	0.711373i	$0.251927\pi$
$504$	1.27154	+	7.37450i	0.0566390	+	0.328486i
$505$	−32.4156	−	40.6478i	−1.44247	−	1.80880i
$506$	5.75835	−	3.44406i	0.255990	−	0.153107i
$507$	2.87133	−	12.5801i	0.127520	−	0.558703i
$508$	−1.02496	−	5.61844i	−0.0454750	−	0.249278i
$509$			28.6400i			1.26945i	0.772740	+	0.634723i	$0.218886\pi$
$509$			28.6400i			1.26945i	−0.772740	+	0.634723i	$0.781114\pi$
$510$	1.23238	−	9.12950i	0.0545708	−	0.404261i
$511$	−17.9497	+	6.52938i	−0.794047	+	0.288843i
$512$	19.4725	+	11.5248i	0.860572	+	0.509328i
$513$	0.317643	+	1.39169i	0.0140243	+	0.0614445i
$514$	20.9279	−	20.0276i	0.923090	−	0.883380i
$515$	−41.2888	+	32.9267i	−1.81940	+	1.45093i
$516$	18.5399	−	7.94459i	0.816174	−	0.349741i
$517$	−31.6914	+	7.23336i	−1.39379	+	0.318123i
$518$	11.9597	+	25.4634i	0.525481	+	1.11880i
$519$	4.54378	+	1.03709i	0.199450	+	0.0455231i
$520$	3.39238	−	0.941294i	0.148766	−	0.0412785i
$521$			0.100273i			0.00439303i	0.999998	+	0.00219652i	$0.000699173\pi$
$521$			0.100273i			0.00439303i	−0.999998	+	0.00219652i	$0.999301\pi$
$522$	0.607003	−	4.49668i	0.0265678	−	0.196814i
$523$	40.3558	−	19.4344i	1.76464	−	0.849805i	0.794495	−	0.607270i	$-0.207736\pi$
$523$	40.3558	−	19.4344i	1.76464	−	0.849805i	0.970143	−	0.242535i	$-0.0779788\pi$
$524$	−10.1977	−	8.89289i	−0.445490	−	0.388488i
$525$	2.92439	−	29.1702i	0.127631	−	1.27309i
$526$	−29.8352	−	19.6743i	−1.30088	−	0.857840i
$527$	−13.7337	−	3.13463i	−0.598250	−	0.136547i
$528$	−9.34990	−	3.01889i	−0.406902	−	0.131380i
$529$	−17.3608	+	8.36054i	−0.754819	+	0.363502i
$530$	−53.1216	+	50.8364i	−2.30745	+	2.20819i
$531$	7.46010	+	3.59259i	0.323741	+	0.155905i
$532$	−0.607581	−	7.52902i	−0.0263420	−	0.326424i
$533$	0.218475	−	0.105212i	0.00946318	−	0.00455723i
$534$	−3.89949	+	10.4048i	−0.168748	+	0.450258i
$535$	15.8493	+	69.4404i	0.685226	+	3.00217i
$536$	3.04764	−	16.9273i	0.131638	−	0.731146i
$537$	17.4468	+	13.9134i	0.752886	+	0.600407i
$538$	−0.102700	−	1.13522i	−0.00442769	−	0.0489426i
$539$	4.23658	+	16.6640i	0.182482	+	0.717768i
$540$	1.43933	+	7.88990i	0.0619390	+	0.339527i
$541$	6.68064	−	8.37726i	0.287223	−	0.360166i	−0.617198	−	0.786808i	$-0.711732\pi$
$541$	6.68064	−	8.37726i	0.287223	−	0.360166i	0.904421	+	0.426642i	$0.140303\pi$
$542$	4.32367	+	1.62043i	0.185718	+	0.0696032i
$543$	12.3520	−	2.81926i	0.530074	−	0.120986i
$544$	−0.0212088	−	9.18917i	−0.000909320	−	0.393982i
$545$	17.5610	+	36.4657i	0.752229	+	1.56202i
$546$	1.04144	+	0.514032i	0.0445696	+	0.0219985i
$547$	−13.8721	+	28.8058i	−0.593130	+	1.23165i	0.361088	+	0.932532i	$0.382406\pi$
$547$	−13.8721	+	28.8058i	−0.593130	+	1.23165i	−0.954217	+	0.299115i	$0.903309\pi$
$548$	17.8050	+	15.5268i	0.760593	+	0.663273i
$549$	2.64666	+	5.49585i	0.112957	+	0.234557i
$550$	32.1332	+	21.1897i	1.37016	+	0.903530i
$551$	−1.01915	+	4.46519i	−0.0434173	+	0.190223i
$552$	−5.02660	−	2.14024i	−0.213946	−	0.0910948i
$553$	0.201245	−	0.598606i	0.00855779	−	0.0254553i
$554$	1.04126	+	1.08806i	0.0442387	+	0.0462274i
$555$	13.0817	+	27.1644i	0.555287	+	1.15306i
$556$	1.30388	−	29.6436i	0.0552967	−	1.25717i
$557$	17.2429			0.730606			0.365303	−	0.930889i	$-0.380965\pi$
$557$	17.2429			0.730606			0.365303	+	0.930889i	$0.380965\pi$
$558$	12.2140	−	1.10496i	0.517060	−	0.0467769i
$559$	0.696578	−	3.05191i	0.0294621	−	0.129082i
$560$	−1.55152	−	42.4101i	−0.0655635	−	1.79215i
$561$	0.887880	+	3.89006i	0.0374863	+	0.164238i
$562$	5.12357	+	15.7440i	0.216125	+	0.664121i
$563$	−10.0920	−	12.6550i	−0.425328	−	0.533344i	0.522283	−	0.852772i	$-0.325081\pi$
$563$	−10.0920	−	12.6550i	−0.425328	−	0.533344i	−0.947610	+	0.319428i	$0.896509\pi$
$564$	19.9482	+	17.3958i	0.839972	+	0.732495i
$565$	−22.5007	+	5.13564i	−0.946612	+	0.216058i
$566$	2.70841	+	8.32254i	0.113843	+	0.349822i
$567$	−1.38001	+	2.25734i	−0.0579548	+	0.0947993i
$568$	−2.84986	+	0.131942i	−0.119577	+	0.00553616i
$569$	−11.6351			−0.487767			−0.243884	−	0.969805i	$-0.578421\pi$
$569$	−11.6351			−0.487767			−0.243884	+	0.969805i	$0.578421\pi$
$570$	−0.729381	−	8.06240i	−0.0305504	−	0.337697i
$571$	26.4896	+	6.04608i	1.10856	+	0.253020i	0.737337	−	0.675525i	$-0.236083\pi$
$571$	26.4896	+	6.04608i	1.10856	+	0.253020i	0.371218	+	0.928546i	$0.378940\pi$
$572$	−1.23280	+	0.897419i	−0.0515458	+	0.0375230i
$573$	7.33120	−	5.84644i	0.306265	−	0.244238i
$574$	−0.622780	−	2.85596i	−0.0259943	−	0.119206i
$575$	16.7333	+	13.3444i	0.697828	+	0.556499i
$576$	2.49320	+	7.60158i	0.103883	+	0.316732i
$577$	−3.94969	−	3.14978i	−0.164428	−	0.131127i	0.537819	−	0.843060i	$-0.319248\pi$
$577$	−3.94969	−	3.14978i	−0.164428	−	0.131127i	−0.702247	+	0.711933i	$0.747820\pi$
$578$	17.4301	−	10.4249i	0.724998	−	0.433620i
$579$	1.26918	+	1.59150i	0.0527453	+	0.0661405i
$580$	−6.82284	+	24.8113i	−0.283303	+	1.03023i
$581$	−0.644396	−	1.77149i	−0.0267340	−	0.0734936i
$582$	8.29052	+	13.8615i	0.343653	+	0.574576i
$583$	13.8177	−	28.6928i	0.572271	−	1.18833i
$584$	−17.9676	+	9.70089i	−0.743504	+	0.401426i
$585$	1.12144	+	0.540056i	0.0463657	+	0.0223286i
$586$	−7.17058	−	4.72851i	−0.296214	−	0.195333i
$587$	7.71705			0.318517			0.159258	−	0.987237i	$-0.449090\pi$
$587$	7.71705			0.318517			0.159258	+	0.987237i	$0.449090\pi$
$588$	8.93949	−	10.7743i	0.368658	−	0.444325i
$589$	−12.3789			−0.510064
$590$	−39.2010	−	25.8504i	−1.61388	−	1.06424i
$591$	−9.13583	−	4.39958i	−0.375798	−	0.180975i
$592$	16.6143	+	25.0688i	0.682844	+	1.03032i
$593$	10.0799	−	20.9311i	0.413931	−	0.859537i	−0.584896	−	0.811109i	$-0.698865\pi$
$593$	10.0799	−	20.9311i	0.413931	−	0.859537i	0.998827	−	0.0484280i	$-0.0154211\pi$
$594$	−1.78305	−	2.98119i	−0.0731594	−	0.122320i
$595$	−14.4793	+	9.34790i	−0.593592	+	0.383226i
$596$	−14.2610	−	3.92163i	−0.584155	−	0.160636i
$597$	9.44065	+	11.8382i	0.386380	+	0.484505i
$598$	−0.727666	+	0.435216i	−0.0297565	+	0.0177973i
$599$	10.4273	+	8.31548i	0.426047	+	0.339761i	0.812924	−	0.582370i	$-0.197875\pi$
$599$	10.4273	+	8.31548i	0.426047	+	0.339761i	−0.386876	+	0.922132i	$0.626446\pi$
$600$	−1.44944	−	31.3070i	−0.0591733	−	1.27810i
$601$	22.6026	+	18.0250i	0.921981	+	0.735255i	0.964567	−	0.263838i	$-0.0849883\pi$
$601$	22.6026	+	18.0250i	0.921981	+	0.735255i	−0.0425863	+	0.999093i	$0.513560\pi$
$602$	−33.8380	−	16.7017i	−1.37913	−	0.680710i
$603$	4.75425	−	3.79139i	0.193608	−	0.154397i
$604$	5.48760	+	7.53839i	0.223287	+	0.306733i
$605$	19.4170	+	4.43181i	0.789415	+	0.180179i
$606$	−1.65200	−	18.2608i	−0.0671077	−	0.741792i
$607$	−34.5730			−1.40327			−0.701637	−	0.712535i	$-0.747547\pi$
$607$	−34.5730			−1.40327			−0.701637	+	0.712535i	$0.747547\pi$
$608$	−1.81503	−	7.86840i	−0.0736091	−	0.319106i
$609$	−7.13169	+	4.60425i	−0.288990	+	0.186574i
$610$	−10.7051	−	32.8952i	−0.433436	−	1.33189i
$611$	4.00475	−	0.914058i	0.162015	−	0.0369788i
$612$	2.13530	−	2.44860i	0.0863143	−	0.0989790i
$613$	−14.2625	−	17.8846i	−0.576058	−	0.722354i	0.405377	−	0.914150i	$-0.367140\pi$
$613$	−14.2625	−	17.8846i	−0.576058	−	0.722354i	−0.981435	+	0.191796i	$0.938569\pi$
$614$	1.89518	+	5.82361i	0.0764832	+	0.235022i
$615$	−0.697104	−	3.05421i	−0.0281100	−	0.123158i
$616$	7.07571	+	16.9648i	0.285088	+	0.683531i
$617$	−2.10358	+	9.21638i	−0.0846869	+	0.371038i	−0.999457	−	0.0329363i	$-0.989514\pi$
$617$	−2.10358	+	9.21638i	−0.0846869	+	0.371038i	0.914771	+	0.403974i	$0.132371\pi$
$618$	−18.5487	+	1.67805i	−0.746139	+	0.0675009i
$619$	7.98330			0.320876			0.160438	−	0.987046i	$-0.448709\pi$
$619$	7.98330			0.320876			0.160438	+	0.987046i	$0.448709\pi$
$620$	−69.4823	−	3.05618i	−2.79047	−	0.122739i
$621$	−0.838071	−	1.74027i	−0.0336306	−	0.0698348i
$622$	21.3290	+	22.2877i	0.855214	+	0.893657i
$623$	19.5354	−	7.10618i	0.782667	−	0.284703i
$624$	1.18152	+	0.381488i	0.0472986	+	0.0152718i
$625$	−9.42953	+	41.3135i	−0.377181	+	1.65254i
$626$	39.2603	+	25.8895i	1.56916	+	1.03475i
$627$	1.52133	+	3.15907i	0.0607560	+	0.126161i
$628$	24.9983	−	28.6662i	0.997540	−	1.14391i
$629$	5.29926	−	11.0040i	0.211296	−	0.438760i
$630$	9.46832	−	11.6395i	0.377227	−	0.463730i
$631$	−17.2327	−	35.7841i	−0.686024	−	1.42454i	−0.894749	−	0.446569i	$-0.852646\pi$
$631$	−17.2327	−	35.7841i	−0.686024	−	1.42454i	0.208725	−	0.977974i	$-0.433069\pi$
$632$	0.119630	−	0.664449i	0.00475861	−	0.0264304i
$633$	−23.6531	+	5.39867i	−0.940126	+	0.214578i
$634$	22.1986	+	8.31960i	0.881620	+	0.330413i
$635$	−7.13961	+	8.95279i	−0.283327	+	0.355281i
$636$	−25.5096	+	4.65363i	−1.01152	+	0.184529i
$637$	−0.535364	−	2.10578i	−0.0212119	−	0.0834339i
$638$	−1.00419	−	11.1000i	−0.0397561	−	0.439454i
$639$	−0.788599	−	0.628886i	−0.0311965	−	0.0248784i
$640$	−8.24508	−	44.6131i	−0.325915	−	1.76349i
$641$	−4.96871	−	21.7693i	−0.196252	−	0.859837i	−0.973143	−	0.230202i	$-0.926061\pi$
$641$	−4.96871	−	21.7693i	−0.196252	−	0.859837i	0.776891	−	0.629635i	$-0.216796\pi$
$642$	−8.81537	+	23.5215i	−0.347915	+	0.928318i
$643$	2.15240	−	1.03654i	0.0848825	−	0.0408773i	−0.390961	−	0.920407i	$-0.627857\pi$
$643$	2.15240	−	1.03654i	0.0848825	−	0.0408773i	0.475843	+	0.879530i	$0.342143\pi$
$644$	3.06850	+	9.74935i	0.120916	+	0.384178i
$645$	−36.4372	−	17.5472i	−1.43471	−	0.690921i
$646$	−2.36924	+	2.26732i	−0.0932167	+	0.0892066i
$647$	6.60910	−	3.18278i	0.259831	−	0.125128i	−0.299434	−	0.954117i	$-0.596798\pi$
$647$	6.60910	−	3.18278i	0.259831	−	0.125128i	0.559265	+	0.828989i	$0.311084\pi$
$648$	−1.10804	+	2.60235i	−0.0435279	+	0.102230i
$649$	19.8284	+	4.52571i	0.778333	+	0.177649i
$650$	−4.06058	−	2.67767i	−0.159269	−	0.105027i
$651$	−16.4216	−	16.0231i	−0.643614	−	0.627996i
$652$	26.0133	−	29.8302i	1.01876	−	1.16824i
$653$	27.7572	−	13.3672i	1.08622	−	0.523097i	0.196921	−	0.980419i	$-0.436906\pi$
$653$	27.7572	−	13.3672i	1.08622	−	0.523097i	0.889301	+	0.457322i	$0.151191\pi$
$654$	−1.90949	+	14.1455i	−0.0746669	+	0.553133i
$655$			27.1292i			1.06003i
$656$	−1.10341	−	2.92361i	−0.0430810	−	0.114148i
$657$	−7.03826	−	1.60644i	−0.274589	−	0.0626731i
$658$	0.480175	−	49.5144i	0.0187192	−	1.93027i
$659$	43.1750	−	9.85441i	1.68186	−	0.383873i	0.728342	−	0.685214i	$-0.240291\pi$
$659$	43.1750	−	9.85441i	1.68186	−	0.383873i	0.953517	+	0.301341i	$0.0974341\pi$
$660$	7.75923	+	18.1073i	0.302027	+	0.704827i
$661$	−12.6399	+	10.0800i	−0.491636	+	0.392067i	−0.837688	−	0.546148i	$-0.816093\pi$
$661$	−12.6399	+	10.0800i	−0.491636	+	0.392067i	0.346052	+	0.938215i	$0.387522\pi$
$662$	9.89342	−	9.46783i	0.384519	−	0.367977i
$663$	−0.112199	−	0.491575i	−0.00435744	−	0.0190912i
$664$	−0.957397	−	1.77325i	−0.0371542	−	0.0688156i
$665$	−10.5768	+	10.8398i	−0.410150	+	0.420350i
$666$	−1.42243	+	10.5374i	−0.0551182	+	0.408316i
$667$		−	6.19735i		−	0.239962i
$668$	31.2950	−	5.70905i	1.21084	−	0.220890i
$669$	3.67471	−	16.1000i	0.142073	−	0.622461i
$670$	−29.5957	+	17.7012i	−1.14338	+	0.683856i
$671$	9.34190	+	11.7144i	0.360640	+	0.452229i
$672$	7.77701	−	12.7874i	0.300005	−	0.493286i
$673$	−29.8400	+	37.4182i	−1.15025	+	1.44237i	−0.273203	+	0.961956i	$0.588083\pi$
$673$	−29.8400	+	37.4182i	−1.15025	+	1.44237i	−0.877045	+	0.480409i	$0.840488\pi$
$674$	−4.48704	+	33.2400i	−0.172834	+	1.28036i
$675$	6.90861	−	8.66313i	0.265913	−	0.333444i
$676$	−20.8645	+	15.1884i	−0.802482	+	0.584170i
$677$	13.9261	−	11.1057i	0.535225	−	0.426828i	−0.318215	−	0.948018i	$-0.603083\pi$
$677$	13.9261	−	11.1057i	0.535225	−	0.426828i	0.853440	+	0.521191i	$0.174512\pi$
$678$	−7.62163	−	2.85643i	−0.292707	−	0.109701i
$679$	9.62896	−	28.6415i	0.369526	−	1.09916i
$680$	−13.8582	+	12.1415i	−0.531439	+	0.465604i
$681$	−17.8003	−	8.57215i	−0.682107	−	0.328486i
$682$	28.6451	−	9.32197i	1.09688	−	0.356957i
$683$	7.92310	−	16.4525i	0.303169	−	0.629537i	−0.692611	−	0.721311i	$-0.743540\pi$
$683$	7.92310	−	16.4525i	0.303169	−	0.629537i	0.995780	+	0.0917746i	$0.0292539\pi$
$684$	1.35055	−	2.51531i	0.0516396	−	0.0961752i
$685$		−	47.3671i		−	1.80980i
$686$	−26.1887	+	0.389313i	−0.999890	+	0.0148640i
$687$			6.30984i			0.240735i
$688$	−38.3893	−	12.3951i	−1.46358	−	0.472560i
$689$	−1.74610	+	3.62582i	−0.0665212	+	0.138133i
$690$	3.38978	+	10.4163i	0.129047	+	0.396543i
$691$	−7.18973	−	3.46239i	−0.273510	−	0.131716i	0.292101	−	0.956387i	$-0.405646\pi$
$691$	−7.18973	−	3.46239i	−0.273510	−	0.131716i	−0.565612	+	0.824672i	$0.691360\pi$
$692$	−5.48586	−	7.53600i	−0.208541	−	0.286476i
$693$	−2.07091	+	6.15996i	−0.0786673	+	0.233997i
$694$	−3.26586	+	8.71408i	−0.123970	+	0.330782i
$695$	−46.5141	+	37.0938i	−1.76438	+	1.40705i
$696$	−6.82580	+	5.98021i	−0.258731	+	0.226679i
$697$	−0.791240	+	0.992183i	−0.0299703	+	0.0375816i
$698$	−1.66503	−	0.224761i	−0.0630223	−	0.00850732i
$699$	−3.98451	+	4.99642i	−0.150708	+	0.188982i
$700$	−42.7519	+	40.1258i	−1.61587	+	1.51661i
$701$	−4.45988	−	5.59251i	−0.168447	−	0.211226i	0.690442	−	0.723388i	$-0.257416\pi$
$701$	−4.45988	−	5.59251i	−0.168447	−	0.211226i	−0.858889	+	0.512162i	$0.828845\pi$
$702$	0.225319	+	0.376725i	0.00850410	+	0.0142186i
$703$	2.38825	−	10.4636i	0.0900745	−	0.394642i
$704$	10.1253	+	16.8409i	0.381613	+	0.634714i
$705$		−	53.0687i		−	1.99868i
$706$	28.4552	+	3.84115i	1.07093	+	0.144563i
$707$	−23.9557	+	24.5514i	−0.900945	+	0.923351i
$708$	−6.52261	−	15.2215i	−0.245135	−	0.572060i
$709$	1.19596	+	5.23984i	0.0449152	+	0.196786i	0.992408	−	0.122992i	$-0.0392488\pi$
$709$	1.19596	+	5.23984i	0.0449152	+	0.196786i	−0.947493	+	0.319778i	$0.896392\pi$
$710$	3.95490	+	4.13268i	0.148425	+	0.155097i
$711$	0.186620	−	0.148824i	0.00699878	−	0.00558134i
$712$	19.5548	−	10.5579i	0.732849	−	0.395672i
$713$	16.3303	−	3.72728i	0.611573	−	0.139588i
$714$	−6.07780	−	0.0589405i	−0.227456	−	0.00220579i
$715$	2.98070	+	0.680326i	0.111472	+	0.0254427i
$716$	−8.00965	−	43.9061i	−0.299335	−	1.64085i
$717$		−	20.9865i		−	0.783755i
$718$	−29.4823	−	3.97979i	−1.10027	−	0.148524i
$719$	2.73796	−	1.31853i	0.102109	−	0.0491730i	−0.382132	−	0.924108i	$-0.624810\pi$
$719$	2.73796	−	1.31853i	0.102109	−	0.0491730i	0.484241	+	0.874935i	$0.339096\pi$
$720$	8.20158	−	13.7849i	0.305655	−	0.513732i
$721$	24.9386	+	24.3334i	0.928761	+	0.906224i
$722$	13.2059	−	20.0261i	0.491471	−	0.745295i
$723$	24.3406	+	5.55558i	0.905236	+	0.206614i
$724$	−22.3247	−	11.9869i	−0.829691	−	0.445489i
$725$	32.0309	−	15.4253i	1.18960	−	0.572881i
$726$	4.85626	+	5.07456i	0.180233	+	0.188334i
$727$	−7.83631	−	3.77377i	−0.290632	−	0.139961i	0.282887	−	0.959153i	$-0.408708\pi$
$727$	−7.83631	−	3.77377i	−0.290632	−	0.139961i	−0.573519	+	0.819192i	$0.694422\pi$
$728$	−0.894137	−	2.14379i	−0.0331389	−	0.0794542i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	38.3370	+	14.3679i	1.41892	+	0.531781i
$731$	3.64551	+	15.9720i	0.134834	+	0.590746i
$732$	3.23476	−	11.7632i	0.119560	−	0.434781i
$733$	13.6631	+	10.8960i	0.504658	+	0.402451i	0.842454	−	0.538768i	$-0.181110\pi$
$733$	13.6631	+	10.8960i	0.504658	+	0.402451i	−0.337796	+	0.941219i	$0.609681\pi$
$734$	−18.4615	+	1.67016i	−0.681428	+	0.0616468i
$735$	−28.0619	+	0.689394i	−1.03508	+	0.0254287i
$736$	4.76356	+	9.83350i	0.175587	+	0.362468i
$737$	9.31278	−	11.6779i	0.343041	−	0.430159i
$738$	0.387728	−	1.03455i	0.0142725	−	0.0380823i
$739$	−20.2468	+	4.62121i	−0.744792	+	0.169994i	−0.578044	−	0.816006i	$-0.696184\pi$
$739$	−20.2468	+	4.62121i	−0.744792	+	0.169994i	−0.166748	+	0.986000i	$0.553327\pi$
$740$	15.9885	−	58.1421i	0.587748	−	2.13735i
$741$	−0.192246	−	0.399203i	−0.00706233	−	0.0146651i
$742$	37.6328	+	30.6129i	1.38154	+	1.12383i
$743$	7.70535	−	16.0003i	0.282682	−	0.586995i	−0.710483	−	0.703714i	$-0.751524\pi$
$743$	7.70535	−	16.0003i	0.282682	−	0.586995i	0.993165	+	0.116720i	$0.0372379\pi$
$744$	−19.8633	−	14.3896i	−0.728225	−	0.527547i
$745$	12.8669	+	26.7184i	0.471407	+	0.978886i
$746$	−21.5060	+	32.6130i	−0.787392	+	1.19405i
$747$	0.158542	−	0.694618i	0.00580075	−	0.0254147i
$748$	3.77507	−	7.03081i	0.138030	−	0.257072i
$749$	44.1625	−	16.0645i	1.61366	−	0.586986i
$750$	−24.9133	+	23.8416i	−0.909707	+	0.870573i
$751$	−0.730139	−	1.51615i	−0.0266431	−	0.0553250i	0.887223	−	0.461342i	$-0.152632\pi$
$751$	−0.730139	−	1.51615i	−0.0266431	−	0.0553250i	−0.913866	+	0.406017i	$0.866917\pi$
$752$	−7.20257	−	52.4434i	−0.262651	−	1.91241i
$753$	−20.0808			−0.731785
$754$	0.126896	+	1.40268i	0.00462128	+	0.0510825i
$755$	4.16010	−	18.2266i	0.151402	−	0.663334i
$756$	5.04741	−	1.58862i	0.183572	−	0.0577774i
$757$	8.73619	+	38.2757i	0.317522	+	1.39116i	0.841883	+	0.539660i	$0.181447\pi$
$757$	8.73619	+	38.2757i	0.317522	+	1.39116i	−0.524361	+	0.851496i	$0.675696\pi$
$758$	16.8265	−	5.47583i	0.611164	−	0.198891i
$759$	−2.95813	−	3.70938i	−0.107373	−	0.134642i
$760$	−9.49848	+	13.1117i	−0.344546	+	0.475611i
$761$	35.6181	−	8.12960i	1.29115	−	0.294698i	0.478832	−	0.877906i	$-0.341060\pi$
$761$	35.6181	−	8.12960i	1.29115	−	0.294698i	0.812322	+	0.583209i	$0.198203\pi$
$762$	−3.84017	+	1.24971i	−0.139115	+	0.0452722i
$763$	22.4346	−	14.4839i	0.812187	−	0.524352i
$764$	−18.7358	−	0.824095i	−0.677837	−	0.0298147i
$765$	−6.51408			−0.235517
$766$	−53.7618	+	4.86367i	−1.94249	+	0.175732i
$767$	−2.50566	−	0.571900i	−0.0904741	−	0.0206501i
$768$	6.23403	−	14.7356i	0.224951	−	0.531724i
$769$	−30.9715	+	24.6989i	−1.11686	+	0.890666i	−0.994799	−	0.101857i	$-0.967522\pi$
$769$	−30.9715	+	24.6989i	−1.11686	+	0.890666i	−0.122060	+	0.992523i	$0.538950\pi$
$770$	16.3120	−	33.0485i	0.587843	−	1.19099i
$771$	−16.0140	−	12.7708i	−0.576731	−	0.459928i
$772$	0.178899	−	4.06728i	0.00643872	−	0.146384i
$773$	6.26391	+	4.99530i	0.225297	+	0.179669i	0.729633	−	0.683839i	$-0.239691\pi$
$773$	6.26391	+	4.99530i	0.225297	+	0.179669i	−0.504335	+	0.863508i	$0.668262\pi$
$774$	−7.32094	−	12.2404i	−0.263146	−	0.439970i
$775$	59.9106	+	75.1256i	2.15205	+	2.69859i
$776$	5.72392	−	31.7919i	0.205477	−	1.14126i
$777$	16.7122	−	10.7895i	0.599547	−	0.387071i
$778$	14.9846	−	8.96228i	0.537225	−	0.321313i
$779$	−0.483859	+	1.00474i	−0.0173360	+	0.0359987i
$780$	−0.980511	−	2.28817i	−0.0351079	−	0.0819297i
$781$	−2.23220	−	1.07497i	−0.0798744	−	0.0384655i
$782$	2.44282	−	3.70443i	0.0873551	−	0.132470i
$783$	−3.20847			−0.114661
$784$	−27.6377	+	4.48988i	−0.987060	+	0.160353i
$785$	−76.2614			−2.72189
$786$	−5.26706	+	7.98728i	−0.187870	+	0.284897i
$787$	0.0898893	+	0.0432884i	0.00320421	+	0.00154306i	0.435485	−	0.900196i	$-0.356577\pi$
$787$	0.0898893	+	0.0432884i	0.00320421	+	0.00154306i	−0.432281	+	0.901739i	$0.642291\pi$
$788$	7.98776	+	18.6407i	0.284552	+	0.664046i
$789$	−10.9646	+	22.7681i	−0.390348	+	0.810567i
$790$	−1.16173	+	0.694828i	−0.0413324	+	0.0247209i
$791$	5.20538	+	14.3099i	0.185082	+	0.508802i
$792$	−1.23105	+	6.83752i	−0.0437434	+	0.242961i
$793$	−1.18051	−	1.48031i	−0.0419211	−	0.0525674i
$794$	−7.97600	−	13.3356i	−0.283057	−	0.473262i
$795$	40.6486	+	32.4162i	1.44166	+	1.14968i
$796$	1.33072	−	30.2540i	0.0471662	−	1.07232i
$797$	−32.7138	−	26.0884i	−1.15878	−	0.924097i	−0.160761	−	0.986993i	$-0.551395\pi$
$797$	−32.7138	−	26.0884i	−1.15878	−	0.924097i	−0.998020	+	0.0628960i	$0.979966\pi$
$798$	−5.21850	+	1.13796i	−0.184733	+	0.0402834i
$799$	−16.8075	+	13.4036i	−0.594608	+	0.474184i
$800$	−38.9678	+	49.0961i	−1.37772	+	1.73581i
$801$	7.66001	+	1.74835i	0.270653	+	0.0617748i
$802$	29.9423	−	2.70879i	1.05730	−	0.0956507i
$803$	−17.7326			−0.625771
$804$	−12.1501	−	0.534422i	−0.428500	−	0.0188476i
$805$	10.6891	−	17.4846i	0.376740	−	0.616250i
$806$	−3.61979	+	1.17799i	−0.127502	+	0.0414929i
$807$	−0.785789	+	0.179351i	−0.0276611	+	0.00631346i
$808$	−21.5134	+	29.6970i	−0.756838	+	1.04474i
$809$	6.98235	+	8.75560i	0.245487	+	0.307830i	0.889275	−	0.457373i	$-0.151210\pi$
$809$	6.98235	+	8.75560i	0.245487	+	0.307830i	−0.643788	+	0.765204i	$0.722638\pi$
$810$	5.39270	−	1.75495i	0.189480	−	0.0616626i
$811$	−7.16256	−	31.3812i	−0.251511	−	1.10194i	−0.930066	−	0.367393i	$-0.880250\pi$
$811$	−7.16256	−	31.3812i	−0.251511	−	1.10194i	0.678554	−	0.734550i	$-0.262607\pi$
$812$	16.8022	+	2.43425i	0.589643	+	0.0854253i
$813$	0.726522	−	3.18310i	0.0254802	−	0.111636i
$814$	2.35318	+	26.0115i	0.0824790	+	0.911703i
$815$	−79.3578			−2.77978
$816$	−6.43731	+	0.884101i	−0.225351	+	0.0309497i
$817$	6.24636	+	12.9707i	0.218532	+	0.453787i
$818$	−4.00051	+	3.82841i	−0.139875	+	0.133857i
$819$	0.261695	−	0.778416i	0.00914435	−	0.0272001i
$820$	−2.96394	+	5.52012i	−0.103505	+	0.192771i
$821$	8.37153	−	36.6781i	0.292168	−	1.28007i	−0.589332	−	0.807891i	$-0.700609\pi$
$821$	8.37153	−	36.6781i	0.292168	−	1.28007i	0.881501	−	0.472182i	$-0.156534\pi$
$822$	9.19619	−	13.9456i	0.320754	−	0.486409i
$823$	−9.18886	−	19.0809i	−0.320303	−	0.665117i	0.677195	−	0.735803i	$-0.263195\pi$
$823$	−9.18886	−	19.0809i	−0.320303	−	0.665117i	−0.997499	+	0.0706865i	$0.977481\pi$
$824$	30.1653	+	21.8526i	1.05086	+	0.761272i
$825$	11.8091	−	24.5218i	0.411139	−	0.853739i
$826$	−13.7123	+	27.7815i	−0.477112	+	0.966640i
$827$	9.57533	+	19.8834i	0.332967	+	0.691413i	0.998488	−	0.0549659i	$-0.0175050\pi$
$827$	9.57533	+	19.8834i	0.332967	+	0.691413i	−0.665521	+	0.746379i	$0.731791\pi$
$828$	−1.02429	+	3.72485i	−0.0355966	+	0.129447i
$829$	−36.9617	+	8.43626i	−1.28373	+	0.293003i	−0.809355	−	0.587319i	$-0.800183\pi$
$829$	−36.9617	+	8.43626i	−1.28373	+	0.293003i	−0.474376	+	0.880322i	$0.657326\pi$
$830$	−1.41800	+	3.78355i	−0.0492194	+	0.131329i
$831$	0.663965	−	0.832585i	0.0230327	−	0.0288821i
$832$	−1.27951	−	2.12813i	−0.0443590	−	0.0737796i
$833$	7.30593	+	8.71344i	0.253136	+	0.301903i
$834$	−20.8962	+	1.89041i	−0.723575	+	0.0654596i
$835$	−49.8674	−	39.7680i	−1.72573	−	1.37623i
$836$	1.85937	−	6.76162i	0.0643077	−	0.233855i
$837$	−1.92967	−	8.45446i	−0.0666993	−	0.292229i
$838$	−6.70581	−	2.51320i	−0.231648	−	0.0868171i
$839$	26.0045	−	12.5231i	0.897774	−	0.432345i	0.0726898	−	0.997355i	$-0.476842\pi$
$839$	26.0045	−	12.5231i	0.897774	−	0.432345i	0.825085	+	0.565009i	$0.191127\pi$
$840$	−29.5721	+	5.09896i	−1.02034	+	0.175931i
$841$	16.8533	+	8.11610i	0.581147	+	0.279865i
$842$	14.9960	+	15.6701i	0.516798	+	0.540029i
$843$	10.5480	−	5.07963i	0.363291	−	0.174952i
$844$	42.7501	+	22.9540i	1.47152	+	0.790108i
$845$	50.4470	+	11.5142i	1.73543	+	0.396101i
$846$	10.3031	−	15.6243i	0.354229	−	0.537174i
$847$	1.31079	−	13.0749i	0.0450393	−	0.449258i
$848$	44.5692	+	26.5173i	1.53051	+	0.910607i
$849$	5.57583	−	2.68518i	0.191362	−	0.0921551i
$850$	25.2265	+	3.40531i	0.865263	+	0.116801i
$851$			14.5227i			0.497832i
$852$	0.362037	+	1.98456i	0.0124032	+	0.0679899i
$853$	−29.8200	−	6.80623i	−1.02102	−	0.233041i	−0.320935	−	0.947101i	$-0.603997\pi$
$853$	−29.8200	−	6.80623i	−1.02102	−	0.233041i	−0.700084	+	0.714060i	$0.746854\pi$
$854$	−20.6587	+	9.70303i	−0.706925	+	0.332031i
$855$	−5.58074	+	1.27377i	−0.190857	+	0.0435619i
$856$	44.2066	−	23.8676i	1.51095	−	0.815777i
$857$	−17.3170	+	13.8099i	−0.591538	+	0.471736i	−0.872922	−	0.487859i	$-0.837778\pi$
$857$	−17.3170	+	13.8099i	−0.591538	+	0.471736i	0.281384	+	0.959595i	$0.409207\pi$
$858$	0.745483	+	0.778993i	0.0254504	+	0.0265944i
$859$	−6.01821	−	26.3675i	−0.205339	−	0.899648i	−0.967622	−	0.252404i	$-0.918779\pi$
$859$	−6.01821	−	26.3675i	−0.205339	−	0.899648i	0.762283	−	0.647244i	$-0.224078\pi$
$860$	31.8583	+	74.3461i	1.08636	+	2.53518i
$861$	−1.94241	+	0.706570i	−0.0661971	+	0.0240799i
$862$	51.2050	+	6.91212i	1.74405	+	0.235428i
$863$		−	4.60588i		−	0.156786i	−0.996923	−	0.0783929i	$-0.975021\pi$
$863$		−	4.60588i		−	0.156786i	0.996923	−	0.0783929i	$-0.0249789\pi$
$864$	5.09097	−	2.46617i	0.173198	−	0.0839009i
$865$	−4.15878	+	18.2208i	−0.141403	+	0.619526i
$866$	−17.4640	−	29.1993i	−0.593452	−	0.992231i
$867$	−8.95407	−	11.2280i	−0.304096	−	0.381324i
$868$	3.69103	+	45.7386i	0.125282	+	1.55247i
$869$	0.365556	−	0.458393i	0.0124007	−	0.0155499i
$870$	18.0319	+	2.43412i	0.611340	+	0.0825243i
$871$	−1.17683	+	1.47570i	−0.0398753	+	0.0500020i
$872$	21.4724	−	18.8123i	0.727146	−	0.637066i
$873$	8.92920	−	7.12080i	0.302208	−	0.241003i
$874$	1.36845	−	3.65133i	0.0462884	−	0.123508i
$875$	64.1906	+	6.43527i	2.17004	+	0.217552i
$876$	8.49753	+	11.6732i	0.287105	+	0.394400i
$877$	−22.2154	−	10.6984i	−0.750162	−	0.361259i	0.0194162	−	0.999811i	$-0.493819\pi$
$877$	−22.2154	−	10.6984i	−0.750162	−	0.361259i	−0.769578	+	0.638552i	$0.779534\pi$
$878$	8.05241	+	24.7439i	0.271756	+	0.835066i
$879$	−2.63522	+	5.47208i	−0.0888836	+	0.184569i
$880$	12.1059	−	37.4936i	0.408091	−	1.26391i
$881$		−	20.1714i		−	0.679591i	−0.940499	−	0.339796i	$-0.889642\pi$
$881$		−	20.1714i		−	0.679591i	0.940499	−	0.339796i	$-0.110358\pi$
$882$	−8.39572	−	5.24518i	−0.282699	−	0.176614i
$883$			33.9620i			1.14291i	0.820632	+	0.571457i	$0.193622\pi$
$883$			33.9620i			1.14291i	−0.820632	+	0.571457i	$0.806378\pi$
$884$	−0.477045	+	0.888463i	−0.0160448	+	0.0298822i
$885$	−14.4065	+	29.9154i	−0.484269	+	1.00560i
$886$	15.4107	−	5.01511i	0.517733	−	0.168486i
$887$	30.8240	+	14.8440i	1.03497	+	0.498414i	0.872661	−	0.488326i	$-0.162392\pi$
$887$	30.8240	+	14.8440i	1.03497	+	0.498414i	0.162307	+	0.986740i	$0.448107\pi$
$888$	15.9954	−	14.0139i	0.536770	−	0.470274i
$889$	6.44602	+	3.94072i	0.216193	+	0.132168i
$890$	−41.7237	−	15.6372i	−1.39858	−	0.524160i
$891$	−1.92041	+	1.53148i	−0.0643362	+	0.0513064i
$892$	−26.7023	+	19.4380i	−0.894059	+	0.650834i
$893$	−11.7784	+	14.7697i	−0.394149	+	0.494248i
$894$	−1.39908	+	10.3644i	−0.0467923	+	0.346637i
$895$	−55.7934	+	69.9628i	−1.86497	+	2.33860i
$896$	−28.5316	+	9.05244i	−0.953174	+	0.302421i
$897$	0.373811	+	0.468744i	0.0124812	+	0.0156509i
$898$	−31.4291	+	18.7977i	−1.04880	+	0.627288i
$899$	6.19131	−	27.1259i	0.206492	−	0.904699i
$900$	−21.8013	+	3.97715i	−0.726710	+	0.132572i
$901$		−	21.0613i		−	0.701652i
$902$	0.363036	−	2.68937i	0.0120878	−	0.0895463i
$903$	−8.50285	+	25.2919i	−0.282957	+	0.841662i
$904$	7.73378	+	14.3242i	0.257222	+	0.476416i
$905$	11.3054	+	49.5321i	0.375804	+	1.64650i
$906$	4.76344	−	4.55853i	0.158255	−	0.151447i
$907$	−20.5313	+	16.3731i	−0.681730	+	0.543661i	−0.901978	−	0.431783i	$-0.857885\pi$
$907$	−20.5313	+	16.3731i	−0.681730	+	0.543661i	0.220248	+	0.975444i	$0.429313\pi$
$908$	15.5634	+	36.3195i	0.516488	+	1.20530i
$909$	−12.6400	+	2.88499i	−0.419242	+	0.0956891i
$910$	−2.06130	+	4.17624i	−0.0683314	+	0.138441i
$911$	−1.78037	−	0.406357i	−0.0589862	−	0.0134632i	0.192926	−	0.981213i	$-0.438202\pi$
$911$	−1.78037	−	0.406357i	−0.0589862	−	0.0134632i	−0.251912	+	0.967750i	$0.581059\pi$
$912$	−5.34210	+	2.01618i	−0.176895	+	0.0667625i
$913$		−	1.75007i		−	0.0579187i
$914$	−3.26087	+	24.1565i	−0.107860	+	0.799026i
$915$	−22.0387	+	10.6133i	−0.728576	+	0.350864i
$916$	8.29420	−	9.51118i	0.274048	−	0.314258i
$917$	17.7608	−	2.22237i	0.586513	−	0.0733890i
$918$	−1.91785	−	1.26469i	−0.0632984	−	0.0417410i
$919$	34.8568	+	7.95585i	1.14982	+	0.262439i	0.754624	−	0.656157i	$-0.227819\pi$
$919$	34.8568	+	7.95585i	1.14982	+	0.262439i	0.395197	+	0.918596i	$0.370676\pi$
$920$	8.58250	−	20.1569i	0.282957	−	0.664555i
$921$	3.90163	−	1.87893i	0.128563	−	0.0619127i
$922$	34.2022	−	32.7309i	1.12639	−	1.07794i
$923$	0.282077	+	0.135841i	0.00928467	+	0.00447126i
$924$	11.2188	−	6.56308i	0.369071	−	0.215909i
$925$	−75.0604	+	36.1472i	−2.46797	+	1.18851i
$926$	8.90528	−	23.7614i	0.292646	−	0.780847i
$927$	2.93049	+	12.8393i	0.0962498	+	0.421698i
$928$	18.1498	−	0.0418902i	0.595797	−	0.00137511i
$929$	−37.6649	−	30.0367i	−1.23574	−	0.985474i	−0.999906	−	0.0136813i	$-0.995645\pi$
$929$	−37.6649	−	30.0367i	−1.23574	−	0.985474i	−0.235838	−	0.971792i	$-0.575784\pi$
$930$	4.43097	+	48.9789i	0.145297	+	1.60608i
$931$	7.96297	+	6.03637i	0.260976	+	0.197834i
$932$	12.5738	−	2.29380i	0.411868	−	0.0751359i
$933$	13.6006	−	17.0546i	0.445263	−	0.558342i
$934$	−4.54890	−	1.70484i	−0.148845	−	0.0557839i
$935$	−15.5993	+	3.56045i	−0.510153	+	0.116439i
$936$	0.155564	−	0.864037i	0.00508477	−	0.0282419i
$937$	8.12070	+	16.8628i	0.265292	+	0.550884i	0.990478	−	0.137668i	$-0.0439608\pi$
$937$	8.12070	+	16.8628i	0.265292	+	0.550884i	−0.725187	+	0.688552i	$0.758247\pi$
$938$	14.0129	+	17.9255i	0.457538	+	0.585289i
$939$	14.4283	−	29.9607i	0.470850	−	0.977731i
$940$	−69.7581	+	79.9935i	−2.27526	+	2.60910i
$941$	−5.11264	−	10.6165i	−0.166667	−	0.346088i	0.800861	−	0.598850i	$-0.204375\pi$
$941$	−5.11264	−	10.6165i	−0.166667	−	0.346088i	−0.967529	+	0.252762i	$0.918661\pi$
$942$	−22.4526	−	14.8059i	−0.731544	−	0.482403i
$943$	0.335780	−	1.47115i	0.0109345	−	0.0479072i
$944$	−10.1766	+	31.5181i	−0.331219	+	1.02583i
$945$	−9.05206	−	5.53391i	−0.294463	−	0.180018i
$946$	−24.2218	−	25.3107i	−0.787520	−	0.822921i
$947$	10.0151	+	20.7966i	0.325447	+	0.675798i	0.997930	−	0.0643151i	$-0.0204863\pi$
$947$	10.0151	+	20.7966i	0.325447	+	0.675798i	−0.672483	+	0.740113i	$0.734772\pi$
$948$	−0.476930	−	0.0209778i	−0.0154900	−	0.000681326i
$949$	2.24082			0.0727402
$950$	22.2780	−	2.01542i	0.722793	−	0.0653889i
$951$	3.73011	−	16.3427i	0.120957	−	0.529948i
$952$	9.08393	+	8.07802i	0.294412	+	0.261810i
$953$	−5.56992	−	24.4034i	−0.180427	−	0.790504i	−0.981426	−	0.191839i	$-0.938555\pi$
$953$	−5.56992	−	24.4034i	−0.180427	−	0.790504i	0.800999	−	0.598666i	$-0.204302\pi$
$954$	5.67408	+	17.4356i	0.183705	+	0.564500i
$955$	23.4445	+	29.3985i	0.758648	+	0.951314i
$956$	−27.5865	+	31.6341i	−0.892210	+	1.02312i
$957$	−7.68337	+	1.75368i	−0.248368	+	0.0566884i
$958$	−5.24488	−	16.1168i	−0.169454	−	0.520709i
$959$	−31.0100	+	3.88021i	−1.00136	+	0.125298i
$960$	−30.4828	+	9.99787i	−0.983827	+	0.322680i
$961$	44.2015			1.42585
$962$	−0.297365	−	3.28700i	−0.00958743	−	0.105977i
$963$	17.3166	+	3.95239i	0.558019	+	0.127364i
$964$	−29.3872	−	40.3696i	−0.946499	−	1.30022i
$965$	−6.38200	+	5.08948i	−0.205444	+	0.163836i
$966$	6.54161	−	3.07249i	0.210473	−	0.0988556i
$967$	−19.1757	−	15.2921i	−0.616650	−	0.491762i	0.264634	−	0.964349i	$-0.414749\pi$
$967$	−19.1757	−	15.2921i	−0.616650	−	0.491762i	−0.881284	+	0.472587i	$0.843320\pi$
$968$	−0.649680	−	14.0327i	−0.0208815	−	0.451027i
$969$	1.81294	+	1.44578i	0.0582402	+	0.0464450i
$970$	−55.5852	+	33.2455i	−1.78473	+	1.06745i
$971$	1.86954	+	2.34433i	0.0599964	+	0.0752331i	0.810924	−	0.585151i	$-0.198965\pi$
$971$	1.86954	+	2.34433i	0.0599964	+	0.0752331i	−0.750928	+	0.660384i	$0.770393\pi$
$972$	1.92842	+	0.530294i	0.0618540	+	0.0170092i
$973$	28.0947	+	27.4129i	0.900674	+	0.878819i
$974$	−16.9291	−	28.3048i	−0.542443	−	0.906946i
$975$	−1.49228	+	3.09875i	−0.0477911	+	0.0992393i
$976$	−20.3385	+	13.4793i	−0.651020	+	0.431463i
$977$	−21.5930	−	10.3986i	−0.690821	−	0.332682i	0.0553213	−	0.998469i	$-0.482382\pi$
$977$	−21.5930	−	10.3986i	−0.690821	−	0.332682i	−0.746142	+	0.665787i	$0.768096\pi$
$978$	−23.3642	−	15.4071i	−0.747105	−	0.492665i
$979$	19.2991			0.616803
$980$	43.2056	+	35.8479i	1.38015	+	1.14512i
$981$	10.0931			0.322248
$982$	2.02315	+	1.33413i	0.0645615	+	0.0425739i
$983$	−16.9449	−	8.16023i	−0.540458	−	0.260271i	0.143679	−	0.989624i	$-0.454107\pi$
$983$	−16.9449	−	8.16023i	−0.540458	−	0.260271i	−0.684137	+	0.729353i	$0.739821\pi$
$984$	−1.94435	+	1.04977i	−0.0619835	+	0.0334655i
$985$	17.6426	−	36.6352i	0.562139	−	1.16729i
$986$	−3.78341	−	6.32573i	−0.120488	−	0.201452i
$987$	−34.7427	+	4.34728i	−1.10587	+	0.138375i
$988$	−0.234963	+	0.854446i	−0.00747518	+	0.0271835i
$989$	−12.1457	−	15.2302i	−0.386210	−	0.484292i
$990$	11.9548	−	7.15013i	0.379947	−	0.227246i
$991$	−27.3402	−	21.8031i	−0.868490	−	0.692598i	0.0842301	−	0.996446i	$-0.473157\pi$
$991$	−27.3402	−	21.8031i	−0.868490	−	0.692598i	−0.952720	+	0.303848i	$0.901728\pi$
$992$	11.0262	+	47.8003i	0.350083	+	1.51766i
$993$	−7.57044	−	6.03723i	−0.240241	−	0.191586i
$994$	2.38158	−	2.92771i	0.0755391	−	0.0928613i
$995$	−47.4718	+	37.8575i	−1.50496	+	1.20016i
$996$	−1.15205	+	0.838636i	−0.0365039	+	0.0265732i
$997$	−23.4842	−	5.36012i	−0.743753	−	0.169757i	−0.166180	−	0.986095i	$-0.553143\pi$
$997$	−23.4842	−	5.36012i	−0.743753	−	0.169757i	−0.577574	+	0.816339i	$0.696000\pi$
$998$	1.38882	+	15.3517i	0.0439624	+	0.485950i
$999$	7.51865			0.237879

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.9	yes	168
4.3	odd	2		588.2.x.a.55.8	✓	168
49.41	odd	14		588.2.x.a.139.8	yes	168
196.139	even	14	inner	588.2.x.b.139.9	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.8	✓	168	4.3	odd	2
588.2.x.a.139.8	yes	168	49.41	odd	14
588.2.x.b.55.9	yes	168	1.1	even	1	trivial
588.2.x.b.139.9	yes	168	196.139	even	14	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.778541 + 1.18062i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.787748 - 1.83833i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(-1.21369 + 0.725909i) q^{6} +(2.50782 + 0.843102i) q^{7} +(2.78367 + 0.501181i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.778541 + 1.18062i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.787748 - 1.83833i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(-1.21369 + 0.725909i) q^{6} +(2.50782 + 0.843102i) q^{7} +(2.78367 + 0.501181i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-2.91094 - 4.86699i) q^{10} +(1.92041 + 1.53148i) q^{11} +(0.0878851 - 1.99807i) q^{12} +(-0.242677 - 0.193528i) q^{13} +(-2.94783 + 2.30441i) q^{14} +(-3.13519 + 2.50023i) q^{15} +(-2.75891 + 2.89628i) q^{16} +(1.58371 + 0.361471i) q^{17} +(-1.40846 + 0.127419i) q^{18} +1.42748 q^{19} +(8.01237 + 0.352424i) q^{20} +(1.89366 + 1.84771i) q^{21} +(-3.30322 + 1.07497i) q^{22} +(-1.88313 + 0.429812i) q^{23} +(2.29055 + 1.65934i) q^{24} +(-6.90861 - 8.66313i) q^{25} +(0.417418 - 0.135840i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-0.425633 - 5.27436i) q^{28} +(-0.713952 + 3.12803i) q^{29} +(-0.510959 - 5.64801i) q^{30} -8.67188 q^{31} +(-1.27149 - 5.51211i) q^{32} +(1.06575 + 2.21305i) q^{33} +(-1.65974 + 1.58834i) q^{34} +(-7.40943 + 7.59369i) q^{35} +(0.946111 - 1.76207i) q^{36} +(1.67306 - 7.33014i) q^{37} +(-1.11135 + 1.68531i) q^{38} +(-0.134675 - 0.279656i) q^{39} +(-6.65404 + 9.18522i) q^{40} +(-0.338961 + 0.703860i) q^{41} +(-3.65575 + 0.797184i) q^{42} +(4.37580 + 9.08645i) q^{43} +(1.30256 - 4.73676i) q^{44} +(-3.90952 + 0.892322i) q^{45} +(0.958647 - 2.55789i) q^{46} +(-8.25121 + 10.3467i) q^{47} +(-3.74234 + 1.41241i) q^{48} +(5.57836 + 4.22870i) q^{49} +(15.6065 - 1.41188i) q^{50} +(1.27003 + 1.01282i) q^{51} +(-0.164600 + 0.598571i) q^{52} +(-2.88505 - 12.6402i) q^{53} +(-1.32427 - 0.496308i) q^{54} +(-8.87444 + 4.27371i) q^{55} +(6.55841 + 3.60379i) q^{56} +(1.28611 + 0.619359i) q^{57} +(-3.13719 - 3.27821i) q^{58} +(7.46010 - 3.59259i) q^{59} +(7.06598 + 3.79396i) q^{60} +(5.94700 + 1.35736i) q^{61} +(6.75141 - 10.2382i) q^{62} +(0.904439 + 2.48636i) q^{63} +(7.49764 + 2.79024i) q^{64} +(1.12144 - 0.540056i) q^{65} +(-3.44250 - 0.464701i) q^{66} -6.08092i q^{67} +(-0.583059 - 3.19612i) q^{68} +(-1.88313 - 0.429812i) q^{69} +(-3.19675 - 14.6598i) q^{70} +(-0.983366 + 0.224447i) q^{71} +(1.34375 + 2.48884i) q^{72} +(-5.64424 + 4.50113i) q^{73} +(7.35160 + 7.68207i) q^{74} +(-2.46566 - 10.8027i) q^{75} +(-1.12449 - 2.62417i) q^{76} +(3.52486 + 5.45977i) q^{77} +(0.435019 + 0.0587229i) q^{78} -0.238695i q^{79} +(-5.66385 - 15.0070i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.567099 - 0.948169i) q^{82} +(-0.444225 - 0.557040i) q^{83} +(1.90498 - 4.93671i) q^{84} +(-4.06146 + 5.09291i) q^{85} +(-14.1344 - 1.90799i) q^{86} +(-2.00045 + 2.50849i) q^{87} +(4.57824 + 5.22560i) q^{88} +(6.14285 - 4.89876i) q^{89} +(1.99022 - 5.31038i) q^{90} +(-0.445426 - 0.689935i) q^{91} +(2.27357 + 3.12323i) q^{92} +(-7.81309 - 3.76259i) q^{93} +(-5.79165 - 17.7969i) q^{94} +(-2.48366 + 5.15738i) q^{95} +(1.24604 - 5.51792i) q^{96} -11.4209i q^{97} +(-9.33549 + 3.29373i) q^{98} +2.45630i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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