LMFDB - Embedded newform 300.2.w.a.67.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.4
Character	$\chi$	$=$	300.67
Dual form			300.2.w.a.103.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.32465 + 2.14383i) q^{10} +(1.78159 - 0.578872i) q^{11} +(-1.57971 - 1.22658i) q^{12} +(0.234433 + 0.460102i) q^{13} +(0.803693 - 0.475039i) q^{14} +(-1.49341 + 1.66425i) q^{15} +(2.14003 + 3.37939i) q^{16} +(-0.610050 - 3.85171i) q^{17} +(-1.19388 - 0.758063i) q^{18} +(-0.124246 - 0.0902702i) q^{19} +(3.93876 - 2.11805i) q^{20} +(0.534069 - 0.388024i) q^{21} +(-2.64402 + 0.165703i) q^{22} +(2.60885 - 5.12015i) q^{23} +(1.73194 + 2.23616i) q^{24} +(-2.04910 - 4.56083i) q^{25} +(-0.159132 - 0.712729i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.26805 + 0.367734i) q^{28} +(-2.19816 - 3.02551i) q^{29} +(2.63139 - 1.75378i) q^{30} +(4.91991 - 6.77167i) q^{31} +(-1.74153 - 5.38211i) q^{32} +(-1.85021 + 0.293044i) q^{33} +(-0.520343 + 5.49043i) q^{34} +(0.309343 + 1.44335i) q^{35} +(1.36839 + 1.45860i) q^{36} +(0.232407 - 0.118417i) q^{37} +(0.138402 + 0.167382i) q^{38} +(-0.159571 - 0.491110i) q^{39} +(-6.14054 + 1.51452i) q^{40} +(3.02867 - 9.32128i) q^{41} +(-0.868111 + 0.343466i) q^{42} +(-1.26309 - 1.26309i) q^{43} +(3.67984 + 0.703818i) q^{44} +(1.73537 - 1.41014i) q^{45} +(-5.37579 + 6.09466i) q^{46} +(-1.19271 + 7.53046i) q^{47} +(-1.58503 - 3.67256i) q^{48} +6.56421i q^{49} +(1.20108 + 6.96831i) q^{50} +3.89972i q^{51} +(-0.0329410 + 1.03224i) q^{52} +(-0.540190 + 3.41063i) q^{53} +(1.06059 + 0.935494i) q^{54} +(1.07730 - 4.04786i) q^{55} +(1.86629 - 0.0572906i) q^{56} +(0.108595 + 0.108595i) q^{57} +(1.94574 + 4.91787i) q^{58} +(-4.23246 + 13.0262i) q^{59} +(-4.22161 + 1.47582i) q^{60} +(-0.806430 - 2.48194i) q^{61} +(-9.12264 + 7.54318i) q^{62} +(-0.588194 + 0.299700i) q^{63} +(0.490698 + 7.98494i) q^{64} +(1.14855 + 0.118757i) q^{65} +(2.63739 + 0.249952i) q^{66} +(0.495584 - 0.0784927i) q^{67} +(2.64553 - 7.33706i) q^{68} +(-3.37769 + 4.64900i) q^{69} +(0.0844020 - 2.08586i) q^{70} +(3.34472 + 4.60362i) q^{71} +(-1.36080 - 2.47956i) q^{72} +(14.3303 + 7.30166i) q^{73} +(-0.360014 + 0.0803809i) q^{74} +(1.31040 + 4.82523i) q^{75} +(-0.130645 - 0.277984i) q^{76} +(-0.561419 + 1.10185i) q^{77} +(0.0456776 + 0.728847i) q^{78} +(4.18276 - 3.03896i) q^{79} +(8.94385 + 0.0872410i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-7.42975 + 11.7011i) q^{82} +(-1.77842 - 11.2285i) q^{83} +(1.30996 - 0.164841i) q^{84} +(-7.97213 - 3.53330i) q^{85} +(1.28540 + 2.17470i) q^{86} +(1.69781 + 3.33213i) q^{87} +(-4.79250 - 2.25944i) q^{88} +(-17.1308 + 5.56614i) q^{89} +(-2.87335 + 1.32055i) q^{90} +(-0.324204 - 0.105340i) q^{91} +(9.50873 - 6.45538i) q^{92} +(-5.91866 + 5.91866i) q^{93} +(4.28462 - 9.89459i) q^{94} +(-0.320391 + 0.123608i) q^{95} +(0.878147 + 5.58828i) q^{96} +(13.4335 + 2.12767i) q^{97} +(2.31082 - 8.99098i) q^{98} +1.87327 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−1.36970	−	0.352033i	−0.968523	−	0.248925i
$2$	−1.36970	−	0.352033i	−0.968523	−	0.248925i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	1.75215	+	0.964358i	0.876073	+	0.482179i
$5$	1.21468	−	1.87738i	0.543222	−	0.839589i
$5$	1.21468	−	1.87738i	0.543222	−	0.839589i
$6$	1.29776	+	0.561967i	0.529810	+	0.229422i
$7$	−0.466793	+	0.466793i	−0.176431	+	0.176431i	−0.789798	−	0.613367i	$-0.789815\pi$
$7$	−0.466793	+	0.466793i	−0.176431	+	0.176431i	0.613367	+	0.789798i	$0.289815\pi$
$8$	−2.06042	−	1.93769i	−0.728470	−	0.685078i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−2.32465	+	2.14383i	−0.735118	+	0.677940i
$11$	1.78159	−	0.578872i	0.537168	−	0.174537i	−0.0278542	−	0.999612i	$-0.508867\pi$
$11$	1.78159	−	0.578872i	0.537168	−	0.174537i	0.565023	+	0.825075i	$0.308867\pi$
$12$	−1.57971	−	1.22658i	−0.456024	−	0.354083i
$13$	0.234433	+	0.460102i	0.0650201	+	0.127609i	0.921229	−	0.389020i	$-0.127186\pi$
$13$	0.234433	+	0.460102i	0.0650201	+	0.127609i	−0.856209	+	0.516630i	$0.827186\pi$
$14$	0.803693	−	0.475039i	0.214796	−	0.126960i
$15$	−1.49341	+	1.66425i	−0.385598	+	0.429707i
$16$	2.14003	+	3.37939i	0.535007	+	0.844848i
$17$	−0.610050	−	3.85171i	−0.147959	−	0.934176i	−0.944242	−	0.329252i	$-0.893203\pi$
$17$	−0.610050	−	3.85171i	−0.147959	−	0.934176i	0.796283	−	0.604924i	$-0.206797\pi$
$18$	−1.19388	−	0.758063i	−0.281399	−	0.178677i
$19$	−0.124246	−	0.0902702i	−0.0285041	−	0.0207094i	0.573442	−	0.819246i	$-0.305608\pi$
$19$	−0.124246	−	0.0902702i	−0.0285041	−	0.0207094i	−0.601946	+	0.798537i	$0.705608\pi$
$20$	3.93876	−	2.11805i	0.880734	−	0.473611i
$21$	0.534069	−	0.388024i	0.116543	−	0.0846738i
$22$	−2.64402	+	0.165703i	−0.563706	+	0.0353281i
$23$	2.60885	−	5.12015i	0.543982	−	1.06762i	−0.441407	−	0.897307i	$-0.645521\pi$
$23$	2.60885	−	5.12015i	0.543982	−	1.06762i	0.985389	−	0.170318i	$-0.0544795\pi$
$24$	1.73194	+	2.23616i	0.353530	+	0.456454i
$25$	−2.04910	−	4.56083i	−0.409820	−	0.912167i
$26$	−0.159132	−	0.712729i	−0.0312084	−	0.139778i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	−1.26805	+	0.367734i	−0.239638	+	0.0694952i
$29$	−2.19816	−	3.02551i	−0.408189	−	0.561824i	0.554587	−	0.832126i	$-0.312876\pi$
$29$	−2.19816	−	3.02551i	−0.408189	−	0.561824i	−0.962776	+	0.270302i	$0.912876\pi$
$30$	2.63139	−	1.75378i	0.480425	−	0.320196i
$31$	4.91991	−	6.77167i	0.883642	−	1.21623i	−0.0917572	−	0.995781i	$-0.529248\pi$
$31$	4.91991	−	6.77167i	0.883642	−	1.21623i	0.975399	−	0.220447i	$-0.0707516\pi$
$32$	−1.74153	−	5.38211i	−0.307863	−	0.951431i
$33$	−1.85021	+	0.293044i	−0.322080	+	0.0510124i
$34$	−0.520343	+	5.49043i	−0.0892381	+	0.941601i
$35$	0.309343	+	1.44335i	0.0522884	+	0.243971i
$36$	1.36839	+	1.45860i	0.228064	+	0.243100i
$37$	0.232407	−	0.118417i	0.0382074	−	0.0194677i	−0.434782	−	0.900536i	$-0.643175\pi$
$37$	0.232407	−	0.118417i	0.0382074	−	0.0194677i	0.472990	+	0.881068i	$0.343175\pi$
$38$	0.138402	+	0.167382i	0.0224517	+	0.0271529i
$39$	−0.159571	−	0.491110i	−0.0255519	−	0.0786406i
$40$	−6.14054	+	1.51452i	−0.970905	+	0.239466i
$41$	3.02867	−	9.32128i	0.472998	−	1.45574i	−0.375640	−	0.926766i	$-0.622577\pi$
$41$	3.02867	−	9.32128i	0.472998	−	1.45574i	0.848639	−	0.528973i	$-0.177423\pi$
$42$	−0.868111	+	0.343466i	−0.133952	+	0.0529979i
$43$	−1.26309	−	1.26309i	−0.192619	−	0.192619i	0.604208	−	0.796827i	$-0.293490\pi$
$43$	−1.26309	−	1.26309i	−0.192619	−	0.192619i	−0.796827	+	0.604208i	$0.793490\pi$
$44$	3.67984	+	0.703818i	0.554756	+	0.106105i
$45$	1.73537	−	1.41014i	0.258694	−	0.210211i
$46$	−5.37579	+	6.09466i	−0.792617	+	0.898608i
$47$	−1.19271	+	7.53046i	−0.173974	+	1.09843i	0.733921	+	0.679235i	$0.237688\pi$
$47$	−1.19271	+	7.53046i	−0.173974	+	1.09843i	−0.907896	+	0.419196i	$0.862312\pi$
$48$	−1.58503	−	3.67256i	−0.228779	−	0.530088i
$49$			6.56421i			0.937744i
$50$	1.20108	+	6.96831i	0.169859	+	0.985468i
$51$			3.89972i			0.546070i
$52$	−0.0329410	+	1.03224i	−0.00456810	+	0.143146i
$53$	−0.540190	+	3.41063i	−0.0742008	+	0.468485i	0.922409	+	0.386214i	$0.126217\pi$
$53$	−0.540190	+	3.41063i	−0.0742008	+	0.468485i	−0.996610	+	0.0822713i	$0.973783\pi$
$54$	1.06059	+	0.935494i	0.144328	+	0.127305i
$55$	1.07730	−	4.04786i	0.145263	−	0.545813i
$56$	1.86629	−	0.0572906i	0.249394	−	0.00765579i
$57$	0.108595	+	0.108595i	0.0143838	+	0.0143838i
$58$	1.94574	+	4.91787i	0.255488	+	0.645748i
$59$	−4.23246	+	13.0262i	−0.551019	+	1.69586i	0.155211	+	0.987881i	$0.450394\pi$
$59$	−4.23246	+	13.0262i	−0.551019	+	1.69586i	−0.706231	+	0.707982i	$0.749606\pi$
$60$	−4.22161	+	1.47582i	−0.545007	+	0.190527i
$61$	−0.806430	−	2.48194i	−0.103253	−	0.317779i	0.886064	−	0.463564i	$-0.153429\pi$
$61$	−0.806430	−	2.48194i	−0.103253	−	0.317779i	−0.989316	+	0.145784i	$0.953429\pi$
$62$	−9.12264	+	7.54318i	−1.15858	+	0.957985i
$63$	−0.588194	+	0.299700i	−0.0741055	+	0.0377586i
$64$	0.490698	+	7.98494i	0.0613373	+	0.998117i
$65$	1.14855	+	0.118757i	0.142460	+	0.0147299i
$66$	2.63739	+	0.249952i	0.324640	+	0.0307670i
$67$	0.495584	−	0.0784927i	0.0605452	−	0.00958941i	−0.126088	−	0.992019i	$-0.540242\pi$
$67$	0.495584	−	0.0784927i	0.0605452	−	0.00958941i	0.186634	+	0.982430i	$0.440242\pi$
$68$	2.64553	−	7.33706i	0.320817	−	0.889749i
$69$	−3.37769	+	4.64900i	−0.406627	+	0.559674i
$70$	0.0844020	−	2.08586i	0.0100880	−	0.249308i
$71$	3.34472	+	4.60362i	0.396946	+	0.546349i	0.959974	−	0.280089i	$-0.0903639\pi$
$71$	3.34472	+	4.60362i	0.396946	+	0.546349i	−0.563029	+	0.826437i	$0.690364\pi$
$72$	−1.36080	−	2.47956i	−0.160372	−	0.292219i
$73$	14.3303	+	7.30166i	1.67724	+	0.854594i	0.991995	+	0.126278i	$0.0403033\pi$
$73$	14.3303	+	7.30166i	1.67724	+	0.854594i	0.685241	+	0.728316i	$0.259697\pi$
$74$	−0.360014	+	0.0803809i	−0.0418507	+	0.00934409i
$75$	1.31040	+	4.82523i	0.151312	+	0.557170i
$76$	−0.130645	−	0.277984i	−0.0149860	−	0.0318870i
$77$	−0.561419	+	1.10185i	−0.0639796	+	0.125567i
$78$	0.0456776	+	0.728847i	0.00517197	+	0.0825257i
$79$	4.18276	−	3.03896i	0.470598	−	0.341909i	−0.327076	−	0.944998i	$-0.606063\pi$
$79$	4.18276	−	3.03896i	0.470598	−	0.341909i	0.797674	+	0.603089i	$0.206063\pi$
$80$	8.94385	+	0.0872410i	0.999952	+	0.00975384i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−7.42975	+	11.7011i	−0.820479	+	1.29218i
$83$	−1.77842	−	11.2285i	−0.195207	−	1.23249i	−0.869465	−	0.493994i	$-0.835536\pi$
$83$	−1.77842	−	11.2285i	−0.195207	−	1.23249i	0.674258	−	0.738496i	$-0.264464\pi$
$84$	1.30996	−	0.164841i	0.142928	−	0.0179856i
$85$	−7.97213	−	3.53330i	−0.864699	−	0.383240i
$86$	1.28540	+	2.17470i	0.138609	+	0.234504i
$87$	1.69781	+	3.33213i	0.182024	+	0.357242i
$88$	−4.79250	−	2.25944i	−0.510882	−	0.240857i
$89$	−17.1308	+	5.56614i	−1.81586	+	0.590010i	−0.815934	+	0.578145i	$0.803777\pi$
$89$	−17.1308	+	5.56614i	−1.81586	+	0.590010i	−0.999930	+	0.0118654i	$0.996223\pi$
$90$	−2.87335	+	1.32055i	−0.302878	+	0.139198i
$91$	−0.324204	−	0.105340i	−0.0339859	−	0.0110427i
$92$	9.50873	−	6.45538i	0.991354	−	0.673020i
$93$	−5.91866	+	5.91866i	−0.613736	+	0.613736i
$94$	4.28462	−	9.89459i	0.441925	−	1.02055i
$95$	−0.320391	+	0.123608i	−0.0328714	+	0.0126819i
$96$	0.878147	+	5.58828i	0.0896255	+	0.570351i
$97$	13.4335	+	2.12767i	1.36397	+	0.216032i	0.795141	−	0.606424i	$-0.207397\pi$
$97$	13.4335	+	2.12767i	1.36397	+	0.216032i	0.568829	+	0.822456i	$0.307397\pi$
$98$	2.31082	−	8.99098i	0.233428	−	0.908226i
$99$	1.87327			0.188271
$100$	0.807956	−	9.96731i	0.0807956	−	0.996731i
$101$	8.89432			0.885018			0.442509	−	0.896764i	$-0.354088\pi$
$101$	8.89432			0.885018			0.442509	+	0.896764i	$0.354088\pi$
$102$	1.37283	−	5.34144i	0.135930	−	0.528881i
$103$	0.918328	+	0.145449i	0.0904855	+	0.0143315i	0.201513	−	0.979486i	$-0.435414\pi$
$103$	0.918328	+	0.145449i	0.0904855	+	0.0143315i	−0.111027	+	0.993817i	$0.535414\pi$
$104$	0.408503	−	1.40226i	0.0400570	−	0.137503i
$105$	−0.0797439	−	1.47398i	−0.00778221	−	0.143845i
$106$	1.94055	−	4.48136i	0.188483	−	0.435268i
$107$	−13.1698	+	13.1698i	−1.27317	+	1.27317i	−0.328751	+	0.944417i	$0.606628\pi$
$107$	−13.1698	+	13.1698i	−1.27317	+	1.27317i	−0.944417	+	0.328751i	$0.893372\pi$
$108$	−1.12336	−	1.65471i	−0.108096	−	0.159224i
$109$	−9.23857	−	3.00179i	−0.884895	−	0.287520i	−0.168907	−	0.985632i	$-0.554024\pi$
$109$	−9.23857	−	3.00179i	−0.884895	−	0.287520i	−0.715988	+	0.698112i	$0.754024\pi$
$110$	−2.90055	+	5.16510i	−0.276557	+	0.492473i
$111$	−0.248070	+	0.0806028i	−0.0235457	+	0.00765048i
$112$	−2.57643	−	0.578527i	−0.243450	−	0.0546656i
$113$	4.23938	+	8.32026i	0.398808	+	0.782704i	0.999864	−	0.0165027i	$-0.00525322\pi$
$113$	4.23938	+	8.32026i	0.398808	+	0.782704i	−0.601056	+	0.799207i	$0.705253\pi$
$114$	−0.110514	−	0.186972i	−0.0103505	−	0.0175115i
$115$	−6.44354	−	11.1171i	−0.600863	−	1.03668i
$116$	−0.933826	−	7.42096i	−0.0867036	−	0.689019i
$117$	0.0807803	+	0.510027i	0.00746814	+	0.0471520i
$118$	10.3828	−	16.3520i	0.955817	−	1.50532i
$119$	2.08272	+	1.51318i	0.190923	+	0.138713i
$120$	6.30186	−	0.535279i	0.575279	−	0.0488641i
$121$	−6.06023	+	4.40302i	−0.550930	+	0.400274i
$122$	0.230842	+	3.68339i	0.0208995	+	0.333479i
$123$	−4.44955	+	8.73273i	−0.401202	+	0.787404i
$124$	15.1507	−	7.12040i	1.36057	−	0.639431i
$125$	−11.0514	−	1.69303i	−0.988468	−	0.151429i
$126$	0.911153	−	0.203435i	0.0811719	−	0.0181234i
$127$	1.83675	+	0.935873i	0.162986	+	0.0830453i	0.533580	−	0.845749i	$-0.320846\pi$
$127$	1.83675	+	0.935873i	0.162986	+	0.0830453i	−0.370595	+	0.928795i	$0.620846\pi$
$128$	2.13885	−	11.1097i	0.189050	−	0.981968i
$129$	1.04995	+	1.44513i	0.0924428	+	0.127237i
$130$	−1.53136	−	0.566987i	−0.134309	−	0.0497280i
$131$	5.23162	−	7.20070i	0.457088	−	0.629128i	−0.516813	−	0.856098i	$-0.672882\pi$
$131$	5.23162	−	7.20070i	0.457088	−	0.629128i	0.973902	+	0.226970i	$0.0728819\pi$
$132$	−3.52443	−	1.27081i	−0.306762	−	0.110609i
$133$	0.100135	−	0.0158598i	0.00868280	−	0.00137522i
$134$	−0.706432	−	0.0669504i	−0.0610264	−	0.00578364i
$135$	−1.93460	+	1.12130i	−0.166504	+	0.0965064i
$136$	−6.20646	+	9.11824i	−0.532199	+	0.781883i
$137$	−3.17579	+	1.61814i	−0.271326	+	0.138247i	−0.584360	−	0.811494i	$-0.698654\pi$
$137$	−3.17579	+	1.61814i	−0.271326	+	0.138247i	0.313034	+	0.949742i	$0.398654\pi$
$138$	6.26302	−	5.17866i	0.533144	−	0.440837i
$139$	−4.51261	−	13.8884i	−0.382755	−	1.17800i	−0.938096	−	0.346376i	$-0.887412\pi$
$139$	−4.51261	−	13.8884i	−0.382755	−	1.17800i	0.555341	−	0.831623i	$-0.312588\pi$
$140$	−0.849896	+	2.82728i	−0.0718293	+	0.238949i
$141$	2.35605	−	7.25117i	0.198415	−	0.610659i
$142$	−2.96064	−	7.48302i	−0.248451	−	0.627961i
$143$	0.684004	+	0.684004i	0.0571992	+	0.0571992i
$144$	0.990998	+	3.87530i	0.0825832	+	0.322941i
$145$	−8.35010	+	0.451751i	−0.693438	+	0.0375159i
$146$	−17.0578	−	15.0458i	−1.41171	−	1.24520i
$147$	1.02687	−	6.48339i	0.0846947	−	0.534741i
$148$	0.521407	+	0.0166392i	0.0428594	+	0.00136773i
$149$			16.6477i			1.36383i	0.731431	+	0.681916i	$0.238853\pi$
$149$			16.6477i			1.36383i	−0.731431	+	0.681916i	$0.761147\pi$
$150$	−0.0962107	−	7.07041i	−0.00785557	−	0.577297i
$151$		−	3.92894i		−	0.319733i	−0.987139	−	0.159866i	$-0.948894\pi$
$151$		−	3.92894i		−	0.319733i	0.987139	−	0.159866i	$-0.0511063\pi$
$152$	0.0810842	+	0.426746i	0.00657680	+	0.0346137i
$153$	0.610050	−	3.85171i	0.0493196	−	0.311392i
$154$	1.15686	−	1.31156i	0.0932225	−	0.105688i
$155$	−6.73687	−	17.4620i	−0.541119	−	1.40258i
$156$	0.194014	−	1.01438i	0.0155335	−	0.0812155i
$157$	15.5356	+	15.5356i	1.23987	+	1.23987i	0.960052	+	0.279822i	$0.0902755\pi$
$157$	15.5356	+	15.5356i	1.23987	+	1.23987i	0.279822	+	0.960052i	$0.409724\pi$
$158$	−6.79894	+	2.68998i	−0.540894	+	0.214003i
$159$	1.06708	−	3.28413i	0.0846248	−	0.260448i
$160$	−12.2197	−	3.26802i	−0.966049	−	0.258360i
$161$	1.17226	+	3.60784i	0.0923870	+	0.284338i
$162$	−0.901189	−	1.08989i	−0.0708041	−	0.0856298i
$163$	−1.83685	+	0.935924i	−0.143874	+	0.0733072i	−0.524445	−	0.851444i	$-0.675727\pi$
$163$	−1.83685	+	0.935924i	−0.143874	+	0.0733072i	0.380572	+	0.924751i	$0.375727\pi$
$164$	14.2957	−	13.4115i	1.11631	−	1.04726i
$165$	−1.69726	+	3.82949i	−0.132131	+	0.298126i
$166$	−1.51691	+	16.0057i	−0.117735	+	1.24229i
$167$	11.1843	−	1.77142i	0.865468	−	0.137077i	0.292113	−	0.956384i	$-0.405642\pi$
$167$	11.1843	−	1.77142i	0.865468	−	0.137077i	0.573355	+	0.819307i	$0.305642\pi$
$168$	−1.85228	−	0.235368i	−0.142906	−	0.0181590i
$169$	7.48447	−	10.3015i	0.575729	−	0.792423i
$170$	9.67557	+	7.64601i	0.742082	+	0.586422i
$171$	−0.0902702	−	0.124246i	−0.00690314	−	0.00950135i
$172$	−0.995047	−	3.43119i	−0.0758716	−	0.261626i
$173$	11.4844	+	5.85160i	0.873144	+	0.444889i	0.832332	−	0.554278i	$-0.187005\pi$
$173$	11.4844	+	5.85160i	0.873144	+	0.444889i	0.0408123	+	0.999167i	$0.487005\pi$
$174$	−1.15246	−	5.16170i	−0.0873679	−	0.391308i
$175$	3.08547	+	1.17246i	0.233240	+	0.0886297i
$176$	5.76888	+	4.78187i	0.434846	+	0.360447i
$177$	6.21809	−	12.2037i	0.467381	−	0.917286i
$178$	25.4235	−	1.59332i	1.90557	−	0.119424i
$179$	−5.65626	+	4.10951i	−0.422769	+	0.307160i	−0.778751	−	0.627333i	$-0.784146\pi$
$179$	−5.65626	+	4.10951i	−0.422769	+	0.307160i	0.355982	+	0.934493i	$0.384146\pi$
$180$	4.40050	−	0.797243i	0.327994	−	0.0594230i
$181$	1.50517	+	1.09357i	0.111878	+	0.0812843i	0.642318	−	0.766439i	$-0.277973\pi$
$181$	1.50517	+	1.09357i	0.111878	+	0.0812843i	−0.530439	+	0.847723i	$0.677973\pi$
$182$	0.406979	+	0.258415i	0.0301673	+	0.0191550i
$183$	0.408241	+	2.57753i	0.0301781	+	0.190537i
$184$	−15.2966	+	5.49454i	−1.12768	+	0.405063i
$185$	0.0599863	−	0.580154i	0.00441028	−	0.0426538i
$186$	10.1903	−	6.02321i	0.747192	−	0.441643i
$187$	−3.31650	−	6.50900i	−0.242527	−	0.475986i
$188$	−9.35186	+	12.0443i	−0.682055	+	0.878419i
$189$	0.627836	−	0.203996i	0.0456683	−	0.0148385i
$190$	0.482353	−	0.0565171i	0.0349936	−	0.00410018i
$191$	3.81762	+	1.24042i	0.276233	+	0.0897536i	0.443858	−	0.896097i	$-0.353610\pi$
$191$	3.81762	+	1.24042i	0.276233	+	0.0897536i	−0.167624	+	0.985851i	$0.553610\pi$
$192$	0.764462	−	7.96339i	0.0551703	−	0.574708i
$193$	−7.39886	+	7.39886i	−0.532582	+	0.532582i	−0.921340	−	0.388758i	$-0.872904\pi$
$193$	−7.39886	+	7.39886i	−0.532582	+	0.532582i	0.388758	+	0.921340i	$0.372904\pi$
$194$	−17.6509	−	7.64331i	−1.26726	−	0.548758i
$195$	−1.11583	−	0.296967i	−0.0799061	−	0.0212662i
$196$	−6.33025	+	11.5014i	−0.452160	+	0.821532i
$197$	19.1368	+	3.03096i	1.36344	+	0.215947i	0.794915	−	0.606721i	$-0.207515\pi$
$197$	19.1368	+	3.03096i	1.36344	+	0.215947i	0.568522	+	0.822668i	$0.307515\pi$
$198$	−2.56581	−	0.659453i	−0.182345	−	0.0468653i
$199$	26.2562			1.86126			0.930628	−	0.365968i	$-0.119262\pi$
$199$	26.2562			1.86126			0.930628	+	0.365968i	$0.119262\pi$
$200$	−4.61548	+	13.3678i	−0.326364	+	0.945244i
$201$	−0.501761			−0.0353915
$202$	−12.1825	−	3.13110i	−0.857160	−	0.220303i
$203$	2.43838	+	0.386201i	0.171141	+	0.0271060i
$204$	−3.76072	+	6.83287i	−0.263303	+	0.478397i
$205$	−13.8207	−	17.0083i	−0.965279	−	1.18791i
$206$	−1.20663	−	0.522503i	−0.0840698	−	0.0364045i
$207$	4.06337	−	4.06337i	0.282424	−	0.282424i
$208$	−1.05317	+	1.77687i	−0.0730241	+	0.123204i
$209$	−0.273610	−	0.0889014i	−0.0189260	−	0.00614944i
$210$	−0.409663	+	2.04697i	−0.0282694	+	0.141255i
$211$	−20.9571	+	6.80937i	−1.44274	+	0.468776i	−0.922752	−	0.385394i	$-0.874065\pi$
$211$	−20.9571	+	6.80937i	−1.44274	+	0.468776i	−0.519993	+	0.854171i	$0.674065\pi$
$212$	−4.23555	+	5.45498i	−0.290899	+	0.374649i
$213$	−2.58338	−	5.07017i	−0.177010	−	0.347402i
$214$	22.6748	−	13.4024i	1.55002	−	0.916169i
$215$	−3.90555	+	0.837046i	−0.266356	+	0.0570861i
$216$	0.956158	+	2.66191i	0.0650583	+	0.181120i
$217$	0.864392	+	5.45755i	0.0586787	+	0.370483i
$218$	11.5973	+	7.36384i	0.785470	+	0.498742i
$219$	−13.0117	−	9.45352i	−0.879246	−	0.638810i
$220$	5.79116	−	6.05353i	0.390440	−	0.408129i
$221$	1.62916	−	1.18365i	0.109589	−	0.0796212i
$222$	0.368156	−	0.0230727i	0.0247090	−	0.00154854i
$223$	−9.67185	+	18.9821i	−0.647675	+	1.27113i	0.300620	+	0.953744i	$0.402806\pi$
$223$	−9.67185	+	18.9821i	−0.647675	+	1.27113i	−0.948295	+	0.317390i	$0.897194\pi$
$224$	3.32527	+	1.69939i	0.222179	+	0.113546i
$225$	−0.539434	−	4.97082i	−0.0359622	−	0.331388i
$226$	−2.87767	−	12.8886i	−0.191420	−	0.857340i
$227$	−18.6257	−	9.49027i	−1.23623	−	0.629891i	−0.291134	−	0.956682i	$-0.594033\pi$
$227$	−18.6257	−	9.49027i	−1.23623	−	0.629891i	−0.945097	+	0.326791i	$0.894033\pi$
$228$	0.0855500	+	0.294999i	0.00566569	+	0.0195368i
$229$	−10.5496	−	14.5203i	−0.697140	−	0.959531i	−0.999979	−	0.00648916i	$-0.997934\pi$
$229$	−10.5496	−	14.5203i	−0.697140	−	0.959531i	0.302839	−	0.953042i	$-0.402066\pi$
$230$	4.91210	+	17.4955i	0.323895	+	1.15362i
$231$	0.726874	−	1.00046i	0.0478248	−	0.0658252i
$232$	−1.33336	+	10.4932i	−0.0875395	+	0.688913i
$233$	−6.11304	+	0.968210i	−0.400478	+	0.0634295i	−0.353425	−	0.935463i	$-0.614983\pi$
$233$	−6.11304	+	0.968210i	−0.400478	+	0.0634295i	−0.0470533	+	0.998892i	$0.514983\pi$
$234$	0.0689016	−	0.727020i	0.00450424	−	0.0475268i
$235$	12.6888	+	11.3863i	0.827724	+	0.742759i
$236$	−19.9778	+	18.7421i	−1.30044	+	1.22001i
$237$	−4.60666	+	2.34721i	−0.299235	+	0.152468i
$238$	−2.32001	−	2.80579i	−0.150384	−	0.181872i
$239$	−1.34493	−	4.13926i	−0.0869961	−	0.267746i	0.898089	−	0.439813i	$-0.144955\pi$
$239$	−1.34493	−	4.13926i	−0.0869961	−	0.267746i	−0.985085	+	0.172067i	$0.944955\pi$
$240$	−8.82009	−	1.48529i	−0.569334	−	0.0958752i
$241$	−0.568954	+	1.75106i	−0.0366496	+	0.112796i	−0.967708	−	0.252075i	$-0.918887\pi$
$241$	−0.568954	+	1.75106i	−0.0366496	+	0.112796i	0.931058	+	0.364871i	$0.118887\pi$
$242$	9.85069	−	3.89740i	0.633227	−	0.250534i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	0.980492	−	5.12640i	0.0627696	−	0.328184i
$245$	12.3235	+	7.97342i	0.787320	+	0.509403i
$246$	9.16874	−	10.3948i	0.584578	−	0.662749i
$247$	0.0124060	−	0.0783283i	0.000789374	−	0.00498391i
$248$	−23.2585	+	4.41925i	−1.47692	+	0.280623i
$249$			11.3685i			0.720449i
$250$	14.5411	+	6.20939i	0.919660	+	0.392717i
$251$			28.1716i			1.77817i	0.457737	+	0.889087i	$0.348660\pi$
$251$			28.1716i			1.77817i	−0.457737	+	0.889087i	$0.651340\pi$
$252$	−1.31962	−	0.0421118i	−0.0831282	−	0.00265280i
$253$	1.68397	−	10.6322i	0.105870	−	0.668439i
$254$	−2.18634	−	1.92846i	−0.137183	−	0.121002i
$255$	7.32125	+	4.73691i	0.458474	+	0.296637i
$256$	−6.84056	+	14.4640i	−0.427535	+	0.903999i
$257$	−7.52224	−	7.52224i	−0.469224	−	0.469224i	0.432439	−	0.901663i	$-0.357653\pi$
$257$	−7.52224	−	7.52224i	−0.469224	−	0.469224i	−0.901663	+	0.432439i	$0.857653\pi$
$258$	−0.929379	−	2.34901i	−0.0578606	−	0.146243i
$259$	−0.0532096	+	0.163762i	−0.00330628	+	0.0101757i
$260$	1.89790	+	1.31569i	0.117703	+	0.0815956i
$261$	−1.15564	−	3.55671i	−0.0715325	−	0.220155i
$262$	−9.70062	+	8.02109i	−0.599306	+	0.495544i
$263$	9.95605	−	5.07286i	0.613916	−	0.312806i	−0.119241	−	0.992865i	$-0.538046\pi$
$263$	9.95605	−	5.07286i	0.613916	−	0.312806i	0.733157	+	0.680059i	$0.238046\pi$
$264$	4.38004	+	2.98134i	0.269573	+	0.183489i
$265$	5.74688	+	5.15696i	0.353028	+	0.316790i
$266$	−0.142738	−	0.0135276i	−0.00875181	−	0.000829433i
$267$	17.7907	−	2.81776i	1.08877	−	0.172444i
$268$	0.944030	+	0.340389i	0.0576658	+	0.0207926i
$269$	6.02380	−	8.29105i	0.367278	−	0.505514i	−0.584881	−	0.811119i	$-0.698859\pi$
$269$	6.02380	−	8.29105i	0.367278	−	0.505514i	0.952158	+	0.305605i	$0.0988587\pi$
$270$	3.04455	−	0.854802i	0.185286	−	0.0520216i
$271$	1.40293	+	1.93096i	0.0852217	+	0.117298i	0.849499	−	0.527590i	$-0.176904\pi$
$271$	1.40293	+	1.93096i	0.0852217	+	0.117298i	−0.764278	+	0.644888i	$0.776904\pi$
$272$	11.7109	−	10.3044i	0.710077	−	0.624793i
$273$	0.303734	+	0.154760i	0.0183828	+	0.00936652i
$274$	4.91951	−	1.09839i	0.297198	−	0.0663560i
$275$	−6.29079	−	6.93935i	−0.379349	−	0.418459i
$276$	−10.4015	+	4.88841i	−0.626097	+	0.294248i
$277$	1.04875	−	2.05829i	0.0630135	−	0.123671i	−0.857352	−	0.514731i	$-0.827892\pi$
$277$	1.04875	−	2.05829i	0.0630135	−	0.123671i	0.920365	+	0.391060i	$0.127892\pi$
$278$	1.29174	+	20.6115i	0.0774737	+	1.23620i
$279$	6.77167	−	4.91991i	0.405409	−	0.294547i
$280$	2.15940	−	3.57333i	0.129049	−	0.213547i
$281$	−13.4390	−	9.76398i	−0.801701	−	0.582470i	0.109711	−	0.993963i	$-0.465007\pi$
$281$	−13.4390	−	9.76398i	−0.801701	−	0.582470i	−0.911413	+	0.411493i	$0.865007\pi$
$282$	−5.77973	+	9.10251i	−0.344178	+	0.542046i
$283$	3.69142	+	23.3067i	0.219432	+	1.38544i	0.813752	+	0.581212i	$0.197421\pi$
$283$	3.69142	+	23.3067i	0.219432	+	1.38544i	−0.594320	+	0.804228i	$0.702579\pi$
$284$	1.42091	+	11.2917i	0.0843153	+	0.670040i
$285$	0.335783	−	0.0719657i	0.0198901	−	0.00426288i
$286$	−0.696086	−	1.17767i	−0.0411605	−	0.0696371i
$287$	2.93735	+	5.76487i	0.173386	+	0.340290i
$288$	0.00686393	−	5.65685i	0.000404461	−	0.333333i
$289$	1.70448	−	0.553819i	0.100264	−	0.0325776i
$290$	11.5962	+	2.32075i	0.680950	+	0.136279i
$291$	−12.9353	−	4.20294i	−0.758282	−	0.246381i
$292$	18.0674	+	26.6131i	1.05731	+	1.55741i
$293$	−18.6714	+	18.6714i	−1.09080	+	1.09080i	−0.0953524	+	0.995444i	$0.530398\pi$
$293$	−18.6714	+	18.6714i	−1.09080	+	1.09080i	−0.995444	+	0.0953524i	$0.969602\pi$
$294$	−3.68887	+	8.51880i	−0.215139	+	0.496826i
$295$	19.3140	+	23.7686i	1.12450	+	1.38386i
$296$	−0.708312	−	0.206343i	−0.0411698	−	0.0119934i
$297$	−1.85021	−	0.293044i	−0.107360	−	0.0170041i
$298$	5.86053	−	22.8023i	0.339492	−	1.32090i
$299$	2.96739			0.171609
$300$	−2.35724	+	9.71820i	−0.136095	+	0.561081i
$301$	1.17920			0.0679682
$302$	−1.38312	+	5.38146i	−0.0795894	+	0.309668i
$303$	−8.78482	−	1.39138i	−0.504675	−	0.0799326i
$304$	0.0391678	−	0.613058i	0.00224643	−	0.0351613i
$305$	−5.63909	−	1.50079i	−0.322893	−	0.0859349i
$306$	−2.19151	+	5.06092i	−0.125280	+	0.289313i
$307$	−0.833602	+	0.833602i	−0.0475762	+	0.0475762i	−0.730495	−	0.682918i	$-0.760710\pi$
$307$	−0.833602	+	0.833602i	−0.0475762	+	0.0475762i	0.682918	+	0.730495i	$0.260710\pi$
$308$	−2.04626	+	1.38919i	−0.116597	+	0.0791563i
$309$	−0.884268	−	0.287316i	−0.0503043	−	0.0163449i
$310$	3.08029	+	26.2892i	0.174949	+	1.49313i
$311$	21.7855	−	7.07853i	1.23534	−	0.401387i	0.382695	−	0.923875i	$-0.374996\pi$
$311$	21.7855	−	7.07853i	1.23534	−	0.401387i	0.852647	+	0.522488i	$0.174996\pi$
$312$	−0.622836	+	1.32110i	−0.0352611	+	0.0747924i
$313$	−7.42212	−	14.5667i	−0.419523	−	0.823360i	−0.999959	−	0.00905407i	$-0.997118\pi$
$313$	−7.42212	−	14.5667i	−0.419523	−	0.823360i	0.580436	−	0.814306i	$-0.302882\pi$
$314$	−15.8100	−	26.7481i	−0.892211	−	1.50948i
$315$	−0.151818	+	1.46830i	−0.00855400	+	0.0827295i
$316$	10.2595	−	1.29101i	0.577139	−	0.0726251i
$317$	−2.08040	−	13.1351i	−0.116847	−	0.737742i	−0.974645	−	0.223756i	$-0.928168\pi$
$317$	−2.08040	−	13.1351i	−0.116847	−	0.737742i	0.857798	−	0.513986i	$-0.171832\pi$
$318$	−2.61770	+	4.12262i	−0.146793	+	0.231185i
$319$	−5.66761	−	4.11776i	−0.317325	−	0.230550i
$320$	15.5868	+	8.77793i	0.871328	+	0.490701i
$321$	15.0678	−	10.9474i	0.841003	−	0.611025i
$322$	−0.335562	−	5.35433i	−0.0187001	−	0.298385i
$323$	−0.271898	+	0.533630i	−0.0151288	+	0.0296919i
$324$	0.850680	+	1.81007i	0.0472600	+	0.100559i
$325$	1.61807	−	2.01201i	0.0897543	−	0.111606i
$326$	2.84541	−	0.635300i	0.157593	−	0.0351860i
$327$	8.65525	+	4.41007i	0.478636	+	0.243877i
$328$	−24.3021	+	13.3372i	−1.34186	+	0.736422i
$329$	−2.95842	−	4.07192i	−0.163103	−	0.224492i
$330$	3.67284	−	4.64776i	0.202183	−	0.255851i
$331$	−10.6400	+	14.6447i	−0.584826	+	0.804944i	−0.994214	−	0.107417i	$-0.965742\pi$
$331$	−10.6400	+	14.6447i	−0.584826	+	0.804944i	0.409388	+	0.912360i	$0.365742\pi$
$332$	7.71226	−	21.3890i	0.423265	−	1.17388i
$333$	0.257625	−	0.0408038i	0.0141177	−	0.00223603i
$334$	−15.9427	−	1.51093i	−0.872347	−	0.0826746i
$335$	0.454616	−	1.02574i	0.0248383	−	0.0560422i
$336$	2.45421	+	0.974446i	0.133888	+	0.0531604i
$337$	−9.56642	+	4.87434i	−0.521116	+	0.265522i	−0.694703	−	0.719297i	$-0.744464\pi$
$337$	−9.56642	+	4.87434i	−0.521116	+	0.265522i	0.173587	+	0.984819i	$0.444464\pi$
$338$	−13.8779	+	11.4752i	−0.754860	+	0.624166i
$339$	−2.88561	−	8.88101i	−0.156725	−	0.482350i
$340$	−10.5610	−	13.8788i	−0.572748	−	0.752686i
$341$	4.84531	−	14.9123i	0.262388	−	0.807547i
$342$	0.0799041	+	0.201958i	0.00432072	+	0.0109206i
$343$	−6.33168	−	6.33168i	−0.341879	−	0.341879i
$344$	0.155022	+	5.04998i	0.00835823	+	0.272277i
$345$	4.62511	+	11.9883i	0.249007	+	0.645426i
$346$	−13.6702	−	12.0578i	−0.734916	−	0.648233i
$347$	3.88238	−	24.5124i	0.208417	−	1.31589i	−0.632428	−	0.774619i	$-0.717942\pi$
$347$	3.88238	−	24.5124i	0.208417	−	1.31589i	0.840845	−	0.541275i	$-0.182058\pi$
$348$	−0.238565	+	7.47568i	−0.0127884	+	0.400738i
$349$		−	4.03089i		−	0.215768i	−0.994163	−	0.107884i	$-0.965592\pi$
$349$		−	4.03089i		−	0.215768i	0.994163	−	0.107884i	$-0.0344076\pi$
$350$	−3.81342	−	2.69211i	−0.203836	−	0.143899i
$351$		−	0.516384i		−	0.0275625i
$352$	−6.21825	−	8.58056i	−0.331434	−	0.457345i
$353$	3.68545	−	23.2690i	0.196157	−	1.23848i	−0.671381	−	0.741112i	$-0.734299\pi$
$353$	3.68545	−	23.2690i	0.196157	−	1.23848i	0.867538	−	0.497372i	$-0.165701\pi$
$354$	−12.8130	+	14.5264i	−0.681004	+	0.772070i
$355$	12.7055	−	0.687383i	0.674338	−	0.0364825i
$356$	−35.3835	−	6.76755i	−1.87532	−	0.358680i
$357$	−1.82036	−	1.82036i	−0.0963438	−	0.0963438i
$358$	9.19405	−	3.63760i	0.485921	−	0.192253i
$359$	−9.50212	+	29.2445i	−0.501503	+	1.54347i	0.305069	+	0.952330i	$0.401321\pi$
$359$	−9.50212	+	29.2445i	−0.501503	+	1.54347i	−0.806571	+	0.591137i	$0.798679\pi$
$360$	−6.30801	−	0.457139i	−0.332461	−	0.0240934i
$361$	−5.86403	−	18.0476i	−0.308633	−	0.949876i
$362$	−1.67665	−	2.02773i	−0.0881229	−	0.106575i
$363$	6.67440	−	3.40078i	0.350315	−	0.178495i
$364$	−0.466468	−	0.497221i	−0.0244495	−	0.0260615i
$365$	31.1147	−	18.0342i	1.62862	−	0.943955i
$366$	0.348210	−	3.67416i	0.0182012	−	0.192051i
$367$	16.4328	−	2.60269i	0.857783	−	0.135859i	0.287976	−	0.957638i	$-0.407018\pi$
$367$	16.4328	−	2.60269i	0.857783	−	0.135859i	0.569807	+	0.821778i	$0.307018\pi$
$368$	22.8860	−	2.14095i	1.19301	−	0.111605i
$369$	5.76087	−	7.92915i	0.299899	−	0.412775i
$370$	−0.286397	+	0.773519i	−0.0148891	+	0.0402133i
$371$	−1.33990	−	1.84421i	−0.0695642	−	0.0957469i
$372$	−16.0781	+	4.66265i	−0.833609	+	0.241747i
$373$	11.9791	+	6.10365i	0.620254	+	0.316035i	0.735730	−	0.677275i	$-0.236839\pi$
$373$	11.9791	+	6.10365i	0.620254	+	0.316035i	−0.115476	+	0.993310i	$0.536839\pi$
$374$	2.25122	+	10.0829i	0.116408	+	0.521374i
$375$	10.6505	+	3.40100i	0.549990	+	0.175627i
$376$	17.0492	−	13.2049i	0.879246	−	0.680988i
$377$	0.876721	−	1.72066i	0.0451534	−	0.0886185i
$378$	−0.931759	+	0.0583943i	−0.0479245	+	0.00300348i
$379$	−20.6167	+	14.9789i	−1.05901	+	0.769415i	−0.973905	−	0.226957i	$-0.927122\pi$
$379$	−20.6167	+	14.9789i	−1.05901	+	0.769415i	−0.0851045	+	0.996372i	$0.527122\pi$
$380$	−0.680574	−	0.0923928i	−0.0349127	−	0.00473965i
$381$	−1.66774	−	1.21168i	−0.0854408	−	0.0620764i
$382$	−4.79232	−	3.04293i	−0.245196	−	0.155690i
$383$	−3.55759	−	22.4617i	−0.181784	−	1.14774i	−0.894759	−	0.446550i	$-0.852652\pi$
$383$	−3.55759	−	22.4617i	−0.181784	−	1.14774i	0.712975	−	0.701190i	$-0.247348\pi$
$384$	−3.85046	+	10.6383i	−0.196493	+	0.542885i
$385$	1.38664	+	2.39239i	0.0706696	+	0.121927i
$386$	12.7389	−	7.52956i	0.648391	−	0.383245i
$387$	−0.810954	−	1.59159i	−0.0412231	−	0.0809049i
$388$	21.4857	+	16.6827i	1.09077	+	0.846937i
$389$	6.63915	−	2.15719i	0.336618	−	0.109374i	−0.135830	−	0.990732i	$-0.543370\pi$
$389$	6.63915	−	2.15719i	0.336618	−	0.109374i	0.472449	+	0.881358i	$0.343370\pi$
$390$	1.42381	+	0.799563i	0.0720972	+	0.0404875i
$391$	−21.3128	−	6.92496i	−1.07784	−	0.350210i
$392$	12.7194	−	13.5251i	0.642427	−	0.683118i
$393$	−6.29364	+	6.29364i	−0.317472	+	0.317472i
$394$	−25.1446	−	10.8883i	−1.26677	−	0.548543i
$395$	−0.624545	−	11.5440i	−0.0314242	−	0.580841i
$396$	3.28224	+	1.80650i	0.164939	+	0.0907802i
$397$	−13.2885	−	2.10468i	−0.666928	−	0.105631i	−0.186215	−	0.982509i	$-0.559622\pi$
$397$	−13.2885	−	2.10468i	−0.666928	−	0.105631i	−0.480713	+	0.876878i	$0.659622\pi$
$398$	−35.9631	−	9.24306i	−1.80267	−	0.463313i
$399$	−0.101383			−0.00507550
$400$	11.0277	−	16.6850i	0.551385	−	0.834251i
$401$	−8.16004			−0.407493			−0.203746	−	0.979024i	$-0.565312\pi$
$401$	−8.16004			−0.407493			−0.203746	+	0.979024i	$0.565312\pi$
$402$	0.687261	+	0.176636i	0.0342775	+	0.00880983i
$403$	4.26905	+	0.676151i	0.212656	+	0.0336815i
$404$	15.5841	+	8.57731i	0.775340	+	0.426737i
$405$	2.08619	−	0.804859i	0.103664	−	0.0399938i
$406$	−3.20389	−	1.38737i	−0.159006	−	0.0688540i
$407$	0.345504	−	0.345504i	0.0171260	−	0.0171260i
$408$	7.55645	−	8.03508i	0.374100	−	0.397795i
$409$	29.1233	+	9.46272i	1.44005	+	0.467901i	0.921914	−	0.387395i	$-0.126625\pi$
$409$	29.1233	+	9.46272i	1.44005	+	0.467901i	0.518139	+	0.855297i	$0.326625\pi$
$410$	12.9427	+	28.1616i	0.639194	+	1.39080i
$411$	3.38982	−	1.10142i	0.167208	−	0.0543290i
$412$	1.46878	+	1.14044i	0.0723616	+	0.0561857i
$413$	−4.10485	−	8.05622i	−0.201986	−	0.396421i
$414$	−6.99604	+	4.13515i	−0.343836	+	0.203232i
$415$	−23.2404	−	10.3003i	−1.14083	−	0.505622i
$416$	2.06804	−	2.06303i	0.101394	−	0.101148i
$417$	2.28443	+	14.4233i	0.111869	+	0.706314i
$418$	0.343467	+	0.218088i	0.0167995	+	0.0106670i
$419$	−8.28642	−	6.02044i	−0.404818	−	0.294118i	0.366683	−	0.930346i	$-0.380494\pi$
$419$	−8.28642	−	6.02044i	−0.404818	−	0.294118i	−0.771501	+	0.636229i	$0.780494\pi$
$420$	1.28172	−	2.65952i	0.0625414	−	0.129771i
$421$	3.46287	−	2.51593i	0.168770	−	0.122619i	−0.500194	−	0.865913i	$-0.666738\pi$
$421$	3.46287	−	2.51593i	0.168770	−	0.122619i	0.668964	+	0.743295i	$0.266738\pi$
$422$	31.1020	−	1.94919i	1.51402	−	0.0948853i
$423$	−3.46137	+	6.79333i	−0.168298	+	0.330303i
$424$	7.72176	−	5.98061i	0.375002	−	0.290444i
$425$	−16.3169	+	10.6749i	−0.791488	+	0.517807i
$426$	1.75358	+	7.85403i	0.0849614	+	0.380529i
$427$	1.53499	+	0.782116i	0.0742833	+	0.0378492i
$428$	−35.7757	+	10.3750i	−1.72928	+	0.501493i
$429$	−0.568581	−	0.782584i	−0.0274513	−	0.0377835i
$430$	5.64409	+	0.228382i	0.272182	+	0.0110136i
$431$	8.79922	−	12.1111i	0.423844	−	0.583371i	−0.542683	−	0.839938i	$-0.682591\pi$
$431$	8.79922	−	12.1111i	0.423844	−	0.583371i	0.966526	+	0.256567i	$0.0825914\pi$
$432$	−0.372567	−	3.98261i	−0.0179252	−	0.191613i
$433$	11.6158	−	1.83976i	0.558218	−	0.0884130i	0.129051	−	0.991638i	$-0.458807\pi$
$433$	11.6158	−	1.83976i	0.558218	−	0.0884130i	0.429167	+	0.903225i	$0.358807\pi$
$434$	0.737284	−	7.77950i	0.0353908	−	0.373428i
$435$	8.31797	+	0.860055i	0.398816	+	0.0412365i
$436$	−13.2925	−	14.1689i	−0.636596	−	0.678566i
$437$	−0.786336	+	0.400658i	−0.0376156	+	0.0191661i
$438$	14.4941	+	17.5290i	0.692554	+	0.837568i
$439$	−6.49959	−	20.0037i	−0.310209	−	0.954724i	−0.977682	−	0.210090i	$-0.932624\pi$
$439$	−6.49959	−	20.0037i	−0.310209	−	0.954724i	0.667473	−	0.744634i	$-0.267376\pi$
$440$	−10.0632	+	6.25283i	−0.479744	+	0.298092i
$441$	−2.02845	+	6.24293i	−0.0965929	+	0.297282i
$442$	−2.64814	+	1.04773i	−0.125959	+	0.0498355i
$443$	14.6462	+	14.6462i	0.695864	+	0.695864i	0.963516	−	0.267652i	$-0.0862477\pi$
$443$	14.6462	+	14.6462i	0.695864	+	0.695864i	−0.267652	+	0.963516i	$0.586248\pi$
$444$	−0.512384	−	0.0980003i	−0.0243167	−	0.00465089i
$445$	−10.3587	+	38.9221i	−0.491051	+	1.84509i
$446$	19.9298	−	22.5949i	0.943705	−	1.06990i
$447$	2.60427	−	16.4427i	0.123178	−	0.777714i
$448$	−3.95637	−	3.49826i	−0.186921	−	0.165277i
$449$			16.9769i			0.801188i	0.916256	+	0.400594i	$0.131196\pi$
$449$			16.9769i			0.801188i	−0.916256	+	0.400594i	$0.868804\pi$
$450$	−1.01103	+	6.99842i	−0.0476604	+	0.329908i
$451$		−	18.3599i		−	0.864532i
$452$	−0.595690	+	18.6666i	−0.0280189	+	0.878002i
$453$	−0.614621	+	3.88057i	−0.0288774	+	0.182325i
$454$	22.1707	+	19.5557i	1.04052	+	0.917793i
$455$	−0.591569	+	0.480699i	−0.0277332	+	0.0225355i
$456$	−0.0133281	−	0.434176i	−0.000624148	−	0.0203322i
$457$	−9.33909	−	9.33909i	−0.436864	−	0.436864i	0.454091	−	0.890955i	$-0.349964\pi$
$457$	−9.33909	−	9.33909i	−0.436864	−	0.436864i	−0.890955	+	0.454091i	$0.849964\pi$
$458$	9.33819	+	23.6023i	0.436345	+	1.10286i
$459$	−1.20508	+	3.70885i	−0.0562483	+	0.173114i
$460$	−0.569117	−	25.6927i	−0.0265352	−	1.19793i
$461$	9.65012	+	29.7000i	0.449451	+	1.38327i	0.877528	+	0.479526i	$0.159191\pi$
$461$	9.65012	+	29.7000i	0.449451	+	1.38327i	−0.428077	+	0.903742i	$0.640809\pi$
$462$	−1.34779	+	1.11444i	−0.0627049	+	0.0518484i
$463$	−9.29083	+	4.73391i	−0.431781	+	0.220004i	−0.656353	−	0.754454i	$-0.727902\pi$
$463$	−9.29083	+	4.73391i	−0.431781	+	0.220004i	0.224572	+	0.974458i	$0.427902\pi$
$464$	5.52026	−	13.9031i	0.256272	−	0.645437i
$465$	3.92228	+	18.3008i	0.181891	+	0.848682i
$466$	8.71386	+	0.825836i	0.403662	+	0.0382561i
$467$	−15.0045	+	2.37648i	−0.694327	+	0.109971i	−0.493616	−	0.869680i	$-0.664325\pi$
$467$	−15.0045	+	2.37648i	−0.694327	+	0.109971i	−0.200711	+	0.979651i	$0.564325\pi$
$468$	−0.350309	+	0.971542i	−0.0161931	+	0.0449095i
$469$	−0.194695	+	0.267975i	−0.00899019	+	0.0123739i
$470$	−13.3714	−	20.0626i	−0.616778	−	0.925420i
$471$	−12.9140	−	17.7746i	−0.595046	−	0.819011i
$472$	33.9614	−	18.6382i	1.56320	−	0.857894i
$473$	−2.98147	−	1.51914i	−0.137088	−	0.0698500i
$474$	7.13604	−	1.59327i	0.327769	−	0.0731815i
$475$	−0.157114	+	0.751639i	−0.00720891	+	0.0344876i
$476$	2.18998	+	4.65980i	0.100377	+	0.213582i
$477$	−1.56769	+	3.07677i	−0.0717797	+	0.140876i
$478$	0.384988	+	6.14299i	0.0176089	+	0.280974i
$479$	23.5993	−	17.1459i	1.07828	−	0.783416i	0.100897	−	0.994897i	$-0.467829\pi$
$479$	23.5993	−	17.1459i	1.07828	−	0.783416i	0.977382	+	0.211481i	$0.0678286\pi$
$480$	11.5580	+	5.13936i	0.527547	+	0.234579i
$481$	0.108968	+	0.0791697i	0.00496850	+	0.00360983i
$482$	1.39573	−	2.19813i	0.0635736	−	0.100122i
$483$	−0.593436	−	3.74681i	−0.0270023	−	0.170486i
$484$	−14.8645	+	1.87049i	−0.675659	+	0.0850224i
$485$	20.3119	−	22.6354i	0.922316	−	1.02782i
$486$	0.719598	+	1.21745i	0.0326416	+	0.0552245i
$487$	9.87340	+	19.3776i	0.447406	+	0.878084i	0.999032	+	0.0439926i	$0.0140078\pi$
$487$	9.87340	+	19.3776i	0.447406	+	0.878084i	−0.551625	+	0.834092i	$0.685992\pi$
$488$	−3.14764	+	6.67646i	−0.142487	+	0.302229i
$489$	1.96065	−	0.637054i	0.0886637	−	0.0288086i
$490$	−14.0726	−	15.2595i	−0.635734	−	0.689352i
$491$	31.7883	+	10.3287i	1.43459	+	0.466126i	0.920205	−	0.391436i	$-0.128021\pi$
$491$	31.7883	+	10.3287i	1.43459	+	0.466126i	0.514382	+	0.857561i	$0.328021\pi$
$492$	−16.2177	+	11.0101i	−0.731152	+	0.496372i
$493$	−10.3124	+	10.3124i	−0.464447	+	0.464447i
$494$	−0.0445666	+	0.102919i	−0.00200515	+	0.00463053i
$495$	2.27543	−	3.51684i	0.102273	−	0.158070i
$496$	33.4129	+	2.13472i	1.50028	+	0.0958519i
$497$	−3.71023	−	0.587643i	−0.166427	−	0.0263594i
$498$	4.00208	−	15.5714i	0.179338	−	0.697771i
$499$	−34.6232			−1.54995			−0.774973	−	0.631994i	$-0.782237\pi$
$499$	−34.6232			−1.54995			−0.774973	+	0.631994i	$0.782237\pi$
$500$	−17.7310	−	13.6239i	−0.792954	−	0.609281i
$501$	−11.3237			−0.505906
$502$	9.91733	−	38.5866i	0.442632	−	1.72220i
$503$	−6.32790	−	1.00224i	−0.282147	−	0.0446877i	0.0137570	−	0.999905i	$-0.495621\pi$
$503$	−6.32790	−	1.00224i	−0.282147	−	0.0446877i	−0.295904	+	0.955218i	$0.595621\pi$
$504$	1.79266	+	0.522230i	0.0798512	+	0.0232620i
$505$	10.8038	−	16.6980i	0.480761	−	0.743052i
$506$	−6.04941	+	13.9701i	−0.268929	+	0.621045i
$507$	−9.00384	+	9.00384i	−0.399874	+	0.399874i
$508$	2.31574	+	3.41107i	0.102745	+	0.151342i
$509$	10.9090	+	3.54457i	0.483535	+	0.157110i	0.540633	−	0.841258i	$-0.318185\pi$
$509$	10.9090	+	3.54457i	0.483535	+	0.157110i	−0.0570980	+	0.998369i	$0.518185\pi$
$510$	−8.36035	−	9.06546i	−0.370202	−	0.401425i
$511$	−10.0977	+	3.28093i	−0.446694	+	0.145140i
$512$	14.4613	−	17.4032i	0.639105	−	0.769119i
$513$	0.0697224	+	0.136838i	0.00307832	+	0.00604154i
$514$	7.65512	+	12.9513i	0.337653	+	0.571256i
$515$	1.38854	−	1.54737i	0.0611863	−	0.0681855i
$516$	0.446040	+	3.54461i	0.0196358	+	0.156043i
$517$	2.23427	+	14.1066i	0.0982629	+	0.620407i
$518$	0.130531	−	0.205573i	0.00573519	−	0.00903237i
$519$	−10.4276	−	7.57612i	−0.457722	−	0.332555i
$520$	−2.13638	−	2.47022i	−0.0936865	−	0.108326i
$521$	−16.5330	+	12.0119i	−0.724322	+	0.526251i	−0.887762	−	0.460303i	$-0.847741\pi$
$521$	−16.5330	+	12.0119i	−0.724322	+	0.526251i	0.163440	+	0.986553i	$0.447741\pi$
$522$	0.330805	+	5.27844i	0.0144789	+	0.231031i
$523$	3.52578	−	6.91973i	0.154172	−	0.302579i	−0.800983	−	0.598688i	$-0.795689\pi$
$523$	3.52578	−	6.91973i	0.154172	−	0.302579i	0.955154	+	0.296109i	$0.0956891\pi$
$524$	16.1106	−	7.57153i	0.703795	−	0.330764i
$525$	−2.86407	−	1.64070i	−0.124998	−	0.0716060i
$526$	−15.4226	+	3.44343i	−0.672457	+	0.150141i
$527$	−29.0839	−	14.8190i	−1.26691	−	0.645525i
$528$	−4.94981	−	5.62545i	−0.215413	−	0.244816i
$529$	−5.89079	−	8.10797i	−0.256121	−	0.352521i
$530$	−6.05606	−	9.08657i	−0.263059	−	0.394696i
$531$	−8.05062	+	11.0807i	−0.349367	+	0.480862i
$532$	0.190745	+	0.0687772i	0.00826986	+	0.00298187i
$533$	4.99875	−	0.791725i	0.216520	−	0.0342934i
$534$	−25.3598	−	2.40341i	−1.09742	−	0.104006i
$535$	8.72755	+	40.7217i	0.377325	+	1.76055i
$536$	−1.17321	−	0.798560i	−0.0506748	−	0.0344925i
$537$	6.22949	−	3.17409i	0.268822	−	0.136972i
$538$	−11.1695	+	9.23566i	−0.481552	+	0.398177i
$539$	3.79984	+	11.6947i	0.163671	+	0.503726i
$540$	−4.47104	+	0.0990376i	−0.192403	+	0.00426190i
$541$	−12.2423	+	37.6779i	−0.526338	+	1.61990i	0.235317	+	0.971919i	$0.424387\pi$
$541$	−12.2423	+	37.6779i	−0.526338	+	1.61990i	−0.761655	+	0.647983i	$0.775613\pi$
$542$	−1.24182	−	3.13871i	−0.0533409	−	0.134819i
$543$	−1.31556	−	1.31556i	−0.0564563	−	0.0564563i
$544$	−19.6679	+	9.99124i	−0.843253	+	0.428371i
$545$	−16.8574	+	13.6981i	−0.722093	+	0.586761i
$546$	−0.361543	−	0.318899i	−0.0154726	−	0.0136476i
$547$	0.879288	−	5.55161i	0.0375956	−	0.237370i	−0.961734	−	0.273986i	$-0.911658\pi$
$547$	0.879288	−	5.55161i	0.0375956	−	0.237370i	0.999329	+	0.0366162i	$0.0116579\pi$
$548$	−7.12491	−	0.227371i	−0.304361	−	0.00971280i
$549$		−	2.60966i		−	0.111378i
$550$	6.17360	+	11.7194i	0.263243	+	0.499716i
$551$			0.574338i			0.0244676i
$552$	15.9678	−	3.03398i	0.679635	−	0.129135i
$553$	−0.533922	+	3.37105i	−0.0227047	+	0.143352i
$554$	−2.16106	+	2.45005i	−0.0918148	+	0.104092i
$555$	−0.150004	+	0.563628i	−0.00636731	+	0.0239247i
$556$	5.48663	−	28.6863i	0.232685	−	1.21657i
$557$	−14.0532	−	14.0532i	−0.595452	−	0.595452i	0.343647	−	0.939099i	$-0.388338\pi$
$557$	−14.0532	−	14.0532i	−0.595452	−	0.595452i	−0.939099	+	0.343647i	$0.888338\pi$
$558$	−11.0071	+	4.35494i	−0.465968	+	0.184359i
$559$	0.285039	−	0.877261i	0.0120559	−	0.0371042i
$560$	−4.21565	+	4.13421i	−0.178144	+	0.174702i
$561$	2.25744	+	6.94768i	0.0953092	+	0.293331i
$562$	14.9701	+	18.1047i	0.631475	+	0.763699i
$563$	30.6565	−	15.6203i	1.29202	−	0.658316i	0.333340	−	0.942807i	$-0.391824\pi$
$563$	30.6565	−	15.6203i	1.29202	−	0.658316i	0.958679	+	0.284490i	$0.0918243\pi$
$564$	11.1209	−	10.4330i	0.468273	−	0.439310i
$565$	20.7698	+	2.14754i	0.873791	+	0.0903475i
$566$	3.14860	−	33.2227i	0.132346	−	1.39645i
$567$	−0.652018	+	0.103270i	−0.0273822	+	0.00433691i
$568$	2.02884	−	15.9664i	0.0851283	−	0.669937i
$569$	16.6510	−	22.9181i	0.698045	−	0.960777i	−0.301927	−	0.953331i	$-0.597630\pi$
$569$	16.6510	−	22.9181i	0.698045	−	0.960777i	0.999972	−	0.00744590i	$-0.00237013\pi$
$570$	−0.485256	−	0.0196354i	−0.0203251	−	0.000822435i
$571$	5.23495	+	7.20530i	0.219076	+	0.301532i	0.904383	−	0.426722i	$-0.140332\pi$
$571$	5.23495	+	7.20530i	0.219076	+	0.301532i	−0.685307	+	0.728255i	$0.740332\pi$
$572$	0.538850	+	1.85810i	0.0225304	+	0.0776910i
$573$	−3.57657	−	1.82236i	−0.149414	−	0.0761300i
$574$	−1.99386	−	8.93018i	−0.0832219	−	0.372738i
$575$	−28.6979	−	1.40682i	−1.19679	−	0.0586685i
$576$	−2.00080	+	7.74576i	−0.0833666	+	0.322740i
$577$	2.56439	−	5.03290i	0.106757	−	0.209522i	−0.831448	−	0.555603i	$-0.812488\pi$
$577$	2.56439	−	5.03290i	0.106757	−	0.209522i	0.938205	+	0.346080i	$0.112488\pi$
$578$	−2.52959	+	0.158532i	−0.105217	+	0.00659406i
$579$	8.46521	−	6.15033i	0.351802	−	0.255599i
$580$	−15.0662	−	7.26095i	−0.625592	−	0.301495i
$581$	6.07156	+	4.41124i	0.251891	+	0.183009i
$582$	16.2379	+	10.3104i	0.673083	+	0.427381i
$583$	1.01192	+	6.38902i	0.0419095	+	0.264606i
$584$	−15.3782	−	42.8122i	−0.636353	−	1.77158i
$585$	1.05564	+	0.467865i	0.0436451	+	0.0193438i
$586$	32.1472	−	19.0013i	1.32799	−	0.784934i
$587$	1.15370	+	2.26427i	0.0476185	+	0.0934565i	0.913590	−	0.406637i	$-0.133299\pi$
$587$	1.15370	+	2.26427i	0.0476185	+	0.0934565i	−0.865971	+	0.500094i	$0.833299\pi$
$588$	8.05153	−	10.3696i	0.332040	−	0.427634i
$589$	−1.22256	+	0.397234i	−0.0503747	+	0.0163677i
$590$	−18.0870	−	39.3549i	−0.744629	−	1.62022i
$591$	−18.4270	−	5.98730i	−0.757985	−	0.246284i
$592$	0.897534	+	0.531977i	0.0368884	+	0.0218641i
$593$	−10.2988	+	10.2988i	−0.422922	+	0.422922i	−0.886209	−	0.463287i	$-0.846670\pi$
$593$	−10.2988	+	10.2988i	−0.422922	+	0.422922i	0.463287	+	0.886209i	$0.346670\pi$
$594$	2.43106	+	1.05272i	0.0997478	+	0.0431935i
$595$	5.37066	−	2.07202i	0.220176	−	0.0849443i
$596$	−16.0543	+	29.1692i	−0.657611	+	1.19482i
$597$	−25.9330	−	4.10738i	−1.06137	−	0.168104i
$598$	−4.06443	−	1.04462i	−0.166207	−	0.0427177i
$599$	33.7978			1.38094			0.690470	−	0.723361i	$-0.257404\pi$
$599$	33.7978			1.38094			0.690470	+	0.723361i	$0.257404\pi$
$600$	6.64983	−	12.4812i	0.271478	−	0.509542i
$601$	−1.37594			−0.0561258			−0.0280629	−	0.999606i	$-0.508934\pi$
$601$	−1.37594			−0.0561258			−0.0280629	+	0.999606i	$0.508934\pi$
$602$	−1.61515	−	0.415119i	−0.0658288	−	0.0169190i
$603$	0.495584	+	0.0784927i	0.0201817	+	0.00319647i
$604$	3.78890	−	6.88407i	0.154168	−	0.280109i
$605$	0.904876	+	16.7256i	0.0367885	+	0.679993i
$606$	11.5427	+	4.99832i	0.468892	+	0.203043i
$607$	1.92999	−	1.92999i	0.0783357	−	0.0783357i	−0.666853	−	0.745189i	$-0.732359\pi$
$607$	1.92999	−	1.92999i	0.0783357	−	0.0783357i	0.745189	+	0.666853i	$0.232359\pi$
$608$	−0.269465	+	0.825915i	−0.0109282	+	0.0334953i
$609$	−2.34794	−	0.762893i	−0.0951435	−	0.0309140i
$610$	7.19552	+	4.04077i	0.291338	+	0.163606i
$611$	−3.74439	+	1.21663i	−0.151482	+	0.0492194i
$612$	4.78332	−	6.16044i	0.193354	−	0.249021i
$613$	−17.2610	−	33.8767i	−0.697166	−	1.36827i	−0.919420	−	0.393277i	$-0.871341\pi$
$613$	−17.2610	−	33.8767i	−0.697166	−	1.36827i	0.222254	−	0.974989i	$-0.428659\pi$
$614$	1.43524	−	0.848328i	0.0579215	−	0.0342357i
$615$	10.9899	+	18.9610i	0.443154	+	0.764580i
$616$	3.29180	−	1.18241i	0.132630	−	0.0476408i
$617$	−1.12869	−	7.12627i	−0.0454393	−	0.286893i	0.954496	−	0.298222i	$-0.0963936\pi$
$617$	−1.12869	−	7.12627i	−0.0454393	−	0.286893i	−0.999936	+	0.0113295i	$0.996394\pi$
$618$	1.11004	+	0.704828i	0.0446522	+	0.0283523i
$619$	31.7345	+	23.0565i	1.27552	+	0.926718i	0.999408	−	0.0344083i	$-0.0109547\pi$
$619$	31.7345	+	23.0565i	1.27552	+	0.926718i	0.276110	+	0.961126i	$0.410955\pi$
$620$	5.03560	−	37.0926i	0.202234	−	1.48968i
$621$	−4.64900	+	3.37769i	−0.186558	+	0.135542i
$622$	−32.3314	+	2.02624i	−1.29637	+	0.0812450i
$623$	5.39832	−	10.5948i	0.216279	−	0.424472i
$624$	1.31817	−	1.59024i	0.0527689	−	0.0636607i
$625$	−16.6024	+	18.6912i	−0.664096	+	0.747648i
$626$	5.03809	+	22.5648i	0.201363	+	0.901872i
$627$	0.256335	+	0.130609i	0.0102370	+	0.00521602i
$628$	12.2387	+	42.2024i	0.488379	+	1.68406i
$629$	−0.597888	−	0.822922i	−0.0238393	−	0.0328120i
$630$	0.724836	−	1.95769i	0.0288782	−	0.0779961i
$631$	0.281835	−	0.387913i	0.0112197	−	0.0154426i	−0.803370	−	0.595480i	$-0.796962\pi$
$631$	0.281835	−	0.387913i	0.0112197	−	0.0154426i	0.814590	+	0.580037i	$0.196962\pi$
$632$	−14.5068	−	1.84337i	−0.577051	−	0.0733253i
$633$	21.7643	−	3.44712i	0.865053	−	0.137011i
$634$	−1.77448	+	18.7235i	−0.0704736	+	0.743606i
$635$	3.98806	−	2.31149i	0.158261	−	0.0917289i
$636$	5.03675	−	4.72523i	0.199720	−	0.187368i
$637$	−3.02020	+	1.53887i	−0.119665	+	0.0609723i
$638$	6.31332	+	7.63527i	0.249947	+	0.302283i
$639$	1.75842	+	5.41187i	0.0695622	+	0.214090i
$640$	−18.2591	−	17.5102i	−0.721753	−	0.692150i
$641$	−12.7819	+	39.3385i	−0.504853	+	1.55378i	0.296164	+	0.955137i	$0.404292\pi$
$641$	−12.7819	+	39.3385i	−0.504853	+	1.55378i	−0.801017	+	0.598641i	$0.795708\pi$
$642$	−24.4922	+	9.69027i	−0.966630	+	0.382445i
$643$	3.73251	+	3.73251i	0.147196	+	0.147196i	0.776864	−	0.629668i	$-0.216809\pi$
$643$	3.73251	+	3.73251i	0.147196	+	0.147196i	−0.629668	+	0.776864i	$0.716809\pi$
$644$	−1.42528	+	7.45195i	−0.0561640	+	0.293648i
$645$	3.98841	−	0.215778i	0.157043	−	0.00849625i
$646$	0.560273	−	0.635194i	0.0220437	−	0.0249914i
$647$	−6.75154	+	42.6275i	−0.265430	+	1.67586i	0.390162	+	0.920746i	$0.372419\pi$
$647$	−6.75154	+	42.6275i	−0.265430	+	1.67586i	−0.655593	+	0.755115i	$0.727581\pi$
$648$	−0.527972	−	2.77871i	−0.0207407	−	0.109158i
$649$			25.6573i			1.00714i
$650$	−2.92456	+	2.18623i	−0.114711	+	0.0857508i
$651$		−	5.52558i		−	0.216565i
$652$	−4.12100	−	0.131510i	−0.161391	−	0.00515032i
$653$	5.04111	−	31.8283i	0.197274	−	1.24554i	−0.667970	−	0.744188i	$-0.732837\pi$
$653$	5.04111	−	31.8283i	0.197274	−	1.24554i	0.865244	−	0.501351i	$-0.167163\pi$
$654$	−10.3026	−	9.08740i	−0.402863	−	0.355345i
$655$	−7.16369	−	18.5683i	−0.279909	−	0.725523i
$656$	37.9817	−	9.71274i	1.48293	−	0.379219i
$657$	11.3726	+	11.3726i	0.443687	+	0.443687i
$658$	2.61870	+	6.61876i	0.102087	+	0.258026i
$659$	−8.49446	+	26.1432i	−0.330897	+	1.01840i	0.637811	+	0.770193i	$0.279840\pi$
$659$	−8.49446	+	26.1432i	−0.330897	+	1.01840i	−0.968708	+	0.248203i	$0.920160\pi$
$660$	−6.66685	+	5.07307i	−0.259507	+	0.197469i
$661$	0.735294	+	2.26300i	0.0285996	+	0.0880205i	0.964337	−	0.264676i	$-0.0852649\pi$
$661$	0.735294	+	2.26300i	0.0285996	+	0.0880205i	−0.935738	+	0.352696i	$0.885265\pi$
$662$	19.7290	−	16.3131i	0.766788	−	0.634029i
$663$	−1.79427	+	0.914225i	−0.0696835	+	0.0355055i
$664$	−18.0931	+	26.5816i	−0.702149	+	1.03156i
$665$	0.0918571	−	0.207256i	0.00356207	−	0.00803703i
$666$	−0.367232	−	0.0348036i	−0.0142300	−	0.00134861i
$667$	−21.2258	+	3.36183i	−0.821865	+	0.130171i
$668$	21.3048	+	7.68189i	0.824308	+	0.297221i
$669$	12.5222	−	17.2354i	0.484137	−	0.666358i
$670$	−0.983781	+	1.24492i	−0.0380068	+	0.0480953i
$671$	−2.87345	−	3.95496i	−0.110928	−	0.152680i
$672$	−3.01849	−	2.19866i	−0.116441	−	0.0848151i
$673$	18.8496	+	9.60435i	0.726598	+	0.370220i	0.777837	−	0.628466i	$-0.216317\pi$
$673$	18.8496	+	9.60435i	0.726598	+	0.370220i	−0.0512386	+	0.998686i	$0.516317\pi$
$674$	14.8190	−	3.30867i	0.570808	−	0.127445i
$675$	−0.244815	+	4.99400i	−0.00942292	+	0.192219i
$676$	23.0482	−	10.8320i	0.886470	−	0.416616i
$677$	−19.3407	+	37.9583i	−0.743324	+	1.45886i	0.140028	+	0.990148i	$0.455281\pi$
$677$	−19.3407	+	37.9583i	−0.743324	+	1.45886i	−0.883353	+	0.468709i	$0.844719\pi$
$678$	0.826012	+	13.1801i	0.0317228	+	0.506180i
$679$	−7.26387	+	5.27751i	−0.278762	+	0.202532i
$680$	9.57952	+	22.7276i	0.367358	+	0.871565i
$681$	16.9118	+	12.2871i	0.648061	+	0.470844i
$682$	−11.8862	+	18.7197i	−0.455147	+	0.716813i
$683$	1.06653	+	6.73380i	0.0408096	+	0.257662i	0.999655	−	0.0262671i	$-0.00836204\pi$
$683$	1.06653	+	6.73380i	0.0408096	+	0.257662i	−0.958845	+	0.283929i	$0.908362\pi$
$684$	−0.0383487	−	0.304750i	−0.00146630	−	0.0116524i
$685$	−0.819700	+	7.92768i	−0.0313191	+	0.302901i
$686$	6.44353	+	10.9015i	0.246015	+	0.416220i
$687$	8.14828	+	15.9919i	0.310876	+	0.610129i
$688$	1.56543	−	6.97152i	0.0596814	−	0.265787i
$689$	−1.69587	+	0.551022i	−0.0646076	+	0.0209923i
$690$	−2.11473	−	18.0485i	−0.0805065	−	0.687094i
$691$	16.0044	+	5.20015i	0.608836	+	0.197823i	0.597177	−	0.802109i	$-0.296289\pi$
$691$	16.0044	+	5.20015i	0.608836	+	0.197823i	0.0116588	+	0.999932i	$0.496289\pi$
$692$	14.4793	+	21.3279i	0.550422	+	0.810767i
$693$	−0.874430	+	0.874430i	−0.0332169	+	0.0332169i
$694$	−13.9469	+	32.2079i	−0.529416	+	1.22259i
$695$	−31.5552	−	8.39809i	−1.19696	−	0.318558i
$696$	2.95845	−	10.1554i	0.112140	−	0.384941i
$697$	−37.7505	−	5.97908i	−1.42990	−	0.226474i
$698$	−1.41901	+	5.52110i	−0.0537101	+	0.208977i
$699$	6.18924			0.234098
$700$	4.27553	+	5.02982i	0.161600	+	0.190109i
$701$	1.14847			0.0433772			0.0216886	−	0.999765i	$-0.493096\pi$
$701$	1.14847			0.0433772			0.0216886	+	0.999765i	$0.493096\pi$
$702$	−0.181784	+	0.707290i	−0.00686100	+	0.0266950i
$703$	−0.0395652	−	0.00626651i	−0.00149223	−	0.000236346i
$704$	5.49648	+	13.9418i	0.207156	+	0.525451i
$705$	−10.7513	−	13.2311i	−0.404919	−	0.498310i
$706$	−13.2394	+	30.5741i	−0.498272	+	1.15067i
$707$	−4.15181	+	4.15181i	−0.156145	+	0.156145i
$708$	22.6637	−	15.3862i	0.851755	−	0.578248i
$709$	4.78724	+	1.55547i	0.179789	+	0.0584168i	0.397528	−	0.917590i	$-0.369868\pi$
$709$	4.78724	+	1.55547i	0.179789	+	0.0584168i	−0.217739	+	0.976007i	$0.569868\pi$
$710$	−17.6447	−	3.53125i	−0.662193	−	0.132525i
$711$	4.91713	−	1.59767i	0.184407	−	0.0599174i
$712$	46.0822	+	21.7257i	1.72701	+	0.814203i
$713$	−21.8367	−	42.8569i	−0.817791	−	1.60500i
$714$	1.85252	+	3.13418i	0.0693288	+	0.117294i
$715$	2.11498	−	0.453287i	0.0790958	−	0.0169520i
$716$	−13.8736	+	1.74581i	−0.518482	+	0.0652439i
$717$	0.680846	+	4.29869i	0.0254266	+	0.160538i
$718$	23.3101	−	36.7111i	0.869924	−	1.37005i
$719$	−2.05400	−	1.49232i	−0.0766011	−	0.0556540i	0.548826	−	0.835937i	$-0.315075\pi$
$719$	−2.05400	−	1.49232i	−0.0766011	−	0.0556540i	−0.625427	+	0.780283i	$0.715075\pi$
$720$	8.47914	+	2.84677i	0.315999	+	0.106093i
$721$	−0.496564	+	0.360775i	−0.0184930	+	0.0134360i
$722$	1.67859	+	26.7842i	0.0624707	+	0.996803i
$723$	0.835876	−	1.64050i	0.0310866	−	0.0610108i
$724$	1.58268	+	3.36761i	0.0588199	+	0.125156i
$725$	−9.29461	+	16.2250i	−0.345193	+	0.602583i
$726$	−10.3391	+	2.30843i	−0.383720	+	0.0856738i
$727$	39.3024	+	20.0256i	1.45764	+	0.742707i	0.989981	−	0.141199i	$-0.0450959\pi$
$727$	39.3024	+	20.0256i	1.45764	+	0.742707i	0.467664	+	0.883907i	$0.345096\pi$
$728$	0.463882	+	0.845254i	0.0171926	+	0.0313272i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−48.9664	+	13.7480i	−1.81233	+	0.508837i
$731$	−4.09450	+	5.63560i	−0.151441	+	0.208440i
$732$	−1.77037	+	4.90991i	−0.0654346	+	0.181475i
$733$	−25.8356	+	4.09196i	−0.954260	+	0.151140i	−0.614100	−	0.789228i	$-0.710481\pi$
$733$	−25.8356	+	4.09196i	−0.954260	+	0.151140i	−0.340159	+	0.940368i	$0.610481\pi$
$734$	−23.4241	−	2.21997i	−0.864601	−	0.0819406i
$735$	−10.9245	−	9.80307i	−0.402955	−	0.361592i
$736$	−32.1006	−	5.12417i	−1.18324	−	0.188879i
$737$	0.837487	−	0.426721i	0.0308492	−	0.0157185i
$738$	−10.6820	+	8.83253i	−0.393209	+	0.325130i
$739$	0.301873	+	0.929069i	0.0111046	+	0.0341764i	0.956455	−	0.291879i	$-0.0942804\pi$
$739$	0.301873	+	0.929069i	0.0111046	+	0.0341764i	−0.945351	+	0.326055i	$0.894280\pi$
$740$	0.664581	−	0.958666i	0.0244305	−	0.0352413i
$741$	−0.0245065	+	0.0754232i	−0.000900268	+	0.00277074i
$742$	1.18603	+	2.99771i	0.0435407	+	0.110049i
$743$	−26.4861	−	26.4861i	−0.971681	−	0.971681i	0.0279291	−	0.999610i	$-0.491109\pi$
$743$	−26.4861	−	26.4861i	−0.971681	−	0.971681i	−0.999610	+	0.0279291i	$0.991109\pi$
$744$	23.6635	−	0.726411i	0.867546	−	0.0266315i
$745$	31.2540	+	20.2216i	1.14506	+	0.740863i
$746$	−14.2591	−	12.5772i	−0.522061	−	0.460484i
$747$	1.77842	−	11.2285i	0.0650691	−	0.410830i
$748$	0.466013	−	14.6030i	0.0170391	−	0.533939i
$749$		−	12.2951i		−	0.449253i
$750$	−13.3907	−	8.40768i	−0.488959	−	0.307005i
$751$		−	41.0628i		−	1.49840i	−0.662343	−	0.749201i	$-0.730438\pi$
$751$		−	41.0628i		−	1.49840i	0.662343	−	0.749201i	$-0.269562\pi$
$752$	−28.0008	+	12.0848i	−1.02108	+	0.440686i
$753$	4.40701	−	27.8247i	0.160600	−	1.01399i
$754$	−1.80657	+	2.04815i	−0.0657915	+	0.0745893i
$755$	−7.37611	−	4.77241i	−0.268444	−	0.173686i
$756$	1.29679	+	0.248027i	0.0471636	+	0.00902067i
$757$	−21.5446	−	21.5446i	−0.783052	−	0.783052i	0.197292	−	0.980345i	$-0.436785\pi$
$757$	−21.5446	−	21.5446i	−0.783052	−	0.783052i	−0.980345	+	0.197292i	$0.936785\pi$
$758$	33.5117	−	13.2588i	1.21720	−	0.481582i
$759$	−3.32648	+	10.2378i	−0.120743	+	0.371610i
$760$	0.899655	+	0.366135i	0.0326339	+	0.0132811i
$761$	8.21601	+	25.2863i	0.297830	+	0.916627i	0.982256	+	0.187544i	$0.0600529\pi$
$761$	8.21601	+	25.2863i	0.297830	+	0.916627i	−0.684426	+	0.729082i	$0.739947\pi$
$762$	1.85774	+	2.24674i	0.0672990	+	0.0813907i
$763$	5.71373	−	2.91129i	0.206851	−	0.105396i
$764$	5.49282	+	5.85495i	0.198723	+	0.211825i
$765$	−6.49009	−	5.82389i	−0.234650	−	0.210563i
$766$	−3.03445	+	32.0182i	−0.109639	+	1.15686i
$767$	−6.98559	+	1.10641i	−0.252235	+	0.0399501i
$768$	9.01901	−	13.2158i	0.325445	−	0.476884i
$769$	15.9264	−	21.9208i	0.574320	−	0.790484i	−0.418738	−	0.908107i	$-0.637528\pi$
$769$	15.9264	−	21.9208i	0.574320	−	0.790484i	0.993058	+	0.117623i	$0.0375275\pi$
$770$	−1.05708	−	3.76499i	−0.0380944	−	0.135681i
$771$	6.25289	+	8.60636i	0.225192	+	0.309951i
$772$	−20.0990	+	5.82873i	−0.723380	+	0.209781i
$773$	43.9863	+	22.4122i	1.58208	+	0.806109i	0.999975	−	0.00700607i	$-0.00223012\pi$
$773$	43.9863	+	22.4122i	1.58208	+	0.806109i	0.582103	+	0.813115i	$0.302230\pi$
$774$	0.550471	+	2.46548i	0.0197863	+	0.0886197i
$775$	−40.9658	−	8.56306i	−1.47154	−	0.307594i
$776$	−23.5561	−	30.4140i	−0.845613	−	1.09180i
$777$	0.0781725	−	0.153422i	0.00280442	−	0.00550399i
$778$	−9.85304	+	0.617500i	−0.353248	+	0.0221384i
$779$	−1.21773	+	0.884736i	−0.0436299	+	0.0316989i
$780$	−1.66871	−	1.59639i	−0.0597495	−	0.0571598i
$781$	8.62382	+	6.26557i	0.308584	+	0.224200i
$782$	26.7543	+	16.9879i	0.956733	+	0.607487i
$783$	0.585024	+	3.69370i	0.0209071	+	0.132002i
$784$	−22.1830	+	14.0476i	−0.792251	+	0.501700i
$785$	48.0369	−	10.2954i	1.71451	−	0.367458i
$786$	10.8360	−	6.40482i	0.386506	−	0.228452i
$787$	−9.17534	−	18.0076i	−0.327066	−	0.641902i	0.667661	−	0.744466i	$-0.267296\pi$
$787$	−9.17534	−	18.0076i	−0.327066	−	0.641902i	−0.994727	+	0.102563i	$0.967296\pi$
$788$	30.6074	+	23.7654i	1.09034	+	0.846606i
$789$	−10.6270	+	3.45293i	−0.378333	+	0.122928i
$790$	−3.20843	+	16.0316i	−0.114151	+	0.570380i
$791$	−5.86276	−	1.90493i	−0.208456	−	0.0677314i
$792$	−3.85973	−	3.62982i	−0.137150	−	0.128980i
$793$	0.952889	−	0.952889i	0.0338381	−	0.0338381i
$794$	17.4602	+	7.56075i	0.619641	+	0.268321i
$795$	−4.86939	−	5.99248i	−0.172700	−	0.212531i
$796$	46.0047	+	25.3204i	1.63059	+	0.897458i
$797$	25.0204	+	3.96285i	0.886269	+	0.140371i	0.582941	−	0.812515i	$-0.301902\pi$
$797$	25.0204	+	3.96285i	0.886269	+	0.140371i	0.303329	+	0.952886i	$0.401902\pi$
$798$	0.138864	+	0.0356902i	0.00491574	+	0.00126342i
$799$	29.7327			1.05187
$800$	−20.9783	+	18.9713i	−0.741695	+	0.670737i
$801$	−18.0124			−0.636437
$802$	11.1768	+	2.87260i	0.394666	+	0.101435i
$803$	29.7574	+	4.71311i	1.05012	+	0.166322i
$804$	−0.879158	−	0.483877i	−0.0310055	−	0.0170650i
$805$	8.19721	+	2.18161i	0.288914	+	0.0768915i
$806$	−5.60928	−	2.42897i	−0.197579	−	0.0855568i
$807$	−7.24664	+	7.24664i	−0.255094	+	0.255094i
$808$	−18.3261	−	17.2345i	−0.644709	−	0.606306i
$809$	−12.6128	−	4.09815i	−0.443443	−	0.144083i	0.0787807	−	0.996892i	$-0.474897\pi$
$809$	−12.6128	−	4.09815i	−0.443443	−	0.144083i	−0.522223	+	0.852809i	$0.674897\pi$
$810$	−3.14079	+	0.368005i	−0.110356	+	0.0129304i
$811$	16.0118	−	5.20254i	0.562250	−	0.182686i	−0.0140834	−	0.999901i	$-0.504483\pi$
$811$	16.0118	−	5.20254i	0.562250	−	0.182686i	0.576333	+	0.817215i	$0.304483\pi$
$812$	3.89996	+	3.02815i	0.136862	+	0.106267i
$813$	−1.08358	−	2.12666i	−0.0380030	−	0.0745850i
$814$	−0.594865	+	0.351607i	−0.0208500	+	0.0123238i
$815$	−0.474109	+	4.58532i	−0.0166073	+	0.160617i
$816$	−13.1787	+	8.34551i	−0.461346	+	0.292151i
$817$	0.0429149	+	0.270954i	0.00150140	+	0.00947947i
$818$	−36.5589	−	23.2134i	−1.27825	−	0.811638i
$819$	−0.275785	−	0.200369i	−0.00963670	−	0.00700147i
$820$	−7.81375	−	43.1292i	−0.272868	−	1.50614i
$821$	−23.0223	+	16.7267i	−0.803484	+	0.583765i	−0.911934	−	0.410336i	$-0.865411\pi$
$821$	−23.0223	+	16.7267i	−0.803484	+	0.583765i	0.108450	+	0.994102i	$0.465411\pi$
$822$	−5.03077	+	0.315283i	−0.175468	+	0.0109968i
$823$	11.7166	−	22.9952i	0.408416	−	0.801561i	−0.591573	−	0.806251i	$-0.701493\pi$
$823$	11.7166	−	22.9952i	0.408416	−	0.801561i	0.999989	+	0.00469027i	$0.00149297\pi$
$824$	−1.61031	−	2.07912i	−0.0560978	−	0.0724297i
$825$	5.12778	+	7.83801i	0.178526	+	0.272884i
$826$	2.78635	+	12.4796i	0.0969494	+	0.434222i
$827$	−31.5437	−	16.0723i	−1.09688	−	0.558890i	−0.190646	−	0.981659i	$-0.561058\pi$
$827$	−31.5437	−	16.0723i	−1.09688	−	0.558890i	−0.906238	+	0.422769i	$0.861058\pi$
$828$	11.0382	−	3.20108i	0.383603	−	0.111245i
$829$	−1.71197	−	2.35633i	−0.0594593	−	0.0818387i	0.778252	−	0.627952i	$-0.216107\pi$
$829$	−1.71197	−	2.35633i	−0.0594593	−	0.0818387i	−0.837711	+	0.546114i	$0.816107\pi$
$830$	28.2063	+	22.2897i	0.979054	+	0.773686i
$831$	−1.35783	+	1.86889i	−0.0471026	+	0.0648312i
$832$	−3.55885	+	2.09771i	−0.123381	+	0.0727249i
$833$	25.2834	−	4.00450i	0.876018	−	0.138748i
$834$	1.94851	−	20.5598i	0.0674713	−	0.711928i
$835$	10.2597	−	23.1489i	0.355053	−	0.801100i
$836$	−0.393672	−	0.419627i	−0.0136154	−	0.0145131i
$837$	−7.45795	+	3.80001i	−0.257784	+	0.131348i
$838$	9.23050	+	11.1633i	0.318862	+	0.385629i
$839$	12.7268	+	39.1691i	0.439378	+	1.35227i	0.888533	+	0.458813i	$0.151725\pi$
$839$	12.7268	+	39.1691i	0.439378	+	1.35227i	−0.449155	+	0.893454i	$0.648275\pi$
$840$	−2.69180	+	3.19153i	−0.0928761	+	0.110118i
$841$	4.63969	−	14.2795i	0.159989	−	0.492396i
$842$	−5.62878	+	2.22701i	−0.193981	+	0.0767479i
$843$	11.7461	+	11.7461i	0.404557	+	0.404557i
$844$	−43.2865	−	8.27912i	−1.48998	−	0.284979i
$845$	−10.2486	−	26.5642i	−0.352561	−	0.913837i
$846$	7.13251	−	8.08629i	0.245221	−	0.278012i
$847$	0.773577	−	4.88418i	0.0265804	−	0.167822i
$848$	−12.6819	+	5.47332i	−0.435497	+	0.187955i
$849$		−	23.5972i		−	0.809855i
$850$	26.1072	−	8.87724i	0.895469	−	0.304487i
$851$		−	1.49889i		−	0.0513812i
$852$	0.362999	−	11.3750i	0.0124362	−	0.389700i
$853$	7.56246	−	47.7475i	0.258934	−	1.63484i	−0.424925	−	0.905229i	$-0.639699\pi$
$853$	7.56246	−	47.7475i	0.258934	−	1.63484i	0.683858	−	0.729615i	$-0.260301\pi$
$854$	−1.82714	−	1.61163i	−0.0625235	−	0.0551488i
$855$	−0.342907	+	0.0185517i	−0.0117272	+	0.000634454i
$856$	52.6542	−	1.61635i	1.79968	−	0.0552458i
$857$	−26.6869	−	26.6869i	−0.911607	−	0.911607i	0.0847915	−	0.996399i	$-0.472978\pi$
$857$	−26.6869	−	26.6869i	−0.911607	−	0.911607i	−0.996399	+	0.0847915i	$0.972978\pi$
$858$	0.503288	+	1.27206i	0.0171820	+	0.0434275i
$859$	14.2973	−	44.0026i	0.487818	−	1.50135i	−0.340041	−	0.940411i	$-0.610441\pi$
$859$	14.2973	−	44.0026i	0.487818	−	1.50135i	0.827858	−	0.560937i	$-0.189559\pi$
$860$	−7.65031	−	2.29972i	−0.260873	−	0.0784199i
$861$	−1.99936	−	6.15340i	−0.0681380	−	0.209707i
$862$	−16.3158	+	13.4909i	−0.555718	+	0.459503i
$863$	−23.9287	+	12.1923i	−0.814542	+	0.415030i	−0.811059	−	0.584964i	$-0.801109\pi$
$863$	−23.9287	+	12.1923i	−0.814542	+	0.415030i	−0.00348274	+	0.999994i	$0.501109\pi$
$864$	−0.891706	+	5.58613i	−0.0303364	+	0.190044i
$865$	24.9356	−	14.4528i	0.847835	−	0.491409i
$866$	−16.5577	−	1.56922i	−0.562655	−	0.0533243i
$867$	−1.77013	+	0.280361i	−0.0601169	+	0.00952157i
$868$	−3.74850	+	10.3960i	−0.127232	+	0.352864i
$869$	5.69279	−	7.83545i	0.193115	−	0.265799i
$870$	−11.0903	−	4.10622i	−0.375998	−	0.139214i
$871$	0.152296	+	0.209617i	0.00516035	+	0.00710262i
$872$	13.2188	+	24.0865i	0.447646	+	0.815671i
$873$	12.1186	+	6.17472i	0.410152	+	0.208983i
$874$	1.21809	−	0.271965i	0.0412025	−	0.00919934i
$875$	5.94902	−	4.36843i	0.201114	−	0.147680i
$876$	−13.6817	−	29.1118i	−0.462263	−	0.983597i
$877$	17.0566	−	33.4755i	0.575961	−	1.13039i	−0.400822	−	0.916156i	$-0.631276\pi$
$877$	17.0566	−	33.4755i	0.575961	−	1.13039i	0.976783	−	0.214231i	$-0.0687244\pi$
$878$	1.86052	+	29.6871i	0.0627895	+	1.00189i
$879$	21.3624	−	15.5207i	0.720536	−	0.523500i
$880$	15.9847	−	5.02192i	0.538845	−	0.169289i
$881$	3.23012	+	2.34682i	0.108826	+	0.0790665i	0.640867	−	0.767652i	$-0.278575\pi$
$881$	3.23012	+	2.34682i	0.108826	+	0.0790665i	−0.532041	+	0.846718i	$0.678575\pi$
$882$	4.97608	−	7.83685i	0.167553	−	0.263880i
$883$	−5.84617	−	36.9112i	−0.196739	−	1.24216i	−0.866345	−	0.499446i	$-0.833537\pi$
$883$	−5.84617	−	36.9112i	−0.196739	−	1.24216i	0.669606	−	0.742716i	$-0.266463\pi$
$884$	3.99599	−	0.502841i	0.134400	−	0.0169124i
$885$	−15.3580	−	26.4973i	−0.516252	−	0.890697i
$886$	−14.9050	−	25.2169i	−0.500742	−	0.847178i
$887$	13.5155	+	26.5256i	0.453805	+	0.890643i	0.998642	+	0.0521008i	$0.0165917\pi$
$887$	13.5155	+	26.5256i	0.453805	+	0.890643i	−0.544836	+	0.838542i	$0.683408\pi$
$888$	0.667313	+	0.314607i	0.0223935	+	0.0105575i
$889$	−1.29424	+	0.420525i	−0.0434076	+	0.0141040i
$890$	27.8902	−	49.6649i	0.934882	−	1.66477i
$891$	1.78159	+	0.578872i	0.0596854	+	0.0193930i
$892$	−35.2520	+	23.9322i	−1.18032	+	0.801311i
$893$	0.827966	−	0.827966i	0.0277068	−	0.0277068i
$894$	−9.35545	+	21.6048i	−0.312893	+	0.722572i
$895$	0.844558	+	15.6107i	0.0282305	+	0.521808i
$896$	4.18753	+	6.18434i	0.139896	+	0.206604i
$897$	−2.93086	−	0.464202i	−0.0978584	−	0.0154993i
$898$	5.97642	−	23.2532i	0.199436	−	0.775969i
$899$	−31.3026			−1.04400
$900$	3.84848	−	9.22980i	0.128283	−	0.307660i
$901$	13.4663			0.448626
$902$	−6.46328	+	25.1475i	−0.215204	+	0.837319i
$903$	−1.16469	−	0.184468i	−0.0387584	−	0.00613872i
$904$	7.38717	−	25.3579i	0.245694	−	0.843391i
$905$	3.88134	−	1.49743i	0.129020	−	0.0497763i
$906$	2.20793	−	5.09884i	0.0733537	−	0.169398i
$907$	37.1010	−	37.1010i	1.23192	−	1.23192i	0.268690	−	0.963227i	$-0.413409\pi$
$907$	37.1010	−	37.1010i	1.23192	−	1.23192i	0.963227	−	0.268690i	$-0.0865908\pi$
$908$	−23.4829	−	34.5902i	−0.779308	−	1.14792i
$909$	8.45900	+	2.74850i	0.280567	+	0.0911619i
$910$	0.979493	−	0.450161i	0.0324699	−	0.0149227i
$911$	−3.25932	+	1.05902i	−0.107986	+	0.0350868i	−0.362512	−	0.931979i	$-0.618081\pi$
$911$	−3.25932	+	1.05902i	−0.107986	+	0.0350868i	0.254526	+	0.967066i	$0.418081\pi$
$912$	−0.134589	+	0.599383i	−0.00445668	+	0.0198475i
$913$	−9.66829	−	18.9751i	−0.319974	−	0.627984i
$914$	9.50406	+	16.0794i	0.314366	+	0.531859i
$915$	5.33489	+	2.36446i	0.176366	+	0.0781666i
$916$	−4.48171	−	35.6154i	−0.148080	−	1.17677i
$917$	0.919156	+	5.80332i	0.0303532	+	0.191643i
$918$	2.95623	−	4.65578i	0.0975702	−	0.153664i
$919$	26.6419	+	19.3564i	0.878834	+	0.638510i	0.932943	−	0.360025i	$-0.117232\pi$
$919$	26.6419	+	19.3564i	0.878834	+	0.638510i	−0.0541091	+	0.998535i	$0.517232\pi$
$920$	−8.26517	+	35.3916i	−0.272495	+	1.16683i
$921$	0.953743	−	0.692935i	0.0314269	−	0.0228330i
$922$	−2.76237	−	44.0772i	−0.0909737	−	1.45161i
$923$	−1.33402	+	2.61815i	−0.0439097	+	0.0861776i
$924$	2.23839	−	1.05198i	0.0736375	−	0.0346075i
$925$	−1.01630	−	0.817320i	−0.0334159	−	0.0268733i
$926$	14.3921	−	3.21335i	0.472954	−	0.105597i
$927$	0.828436	+	0.422109i	0.0272094	+	0.0138639i
$928$	−12.4555	+	17.0998i	−0.408870	+	0.561328i
$929$	−15.8166	−	21.7697i	−0.518927	−	0.714241i	0.466466	−	0.884539i	$-0.345527\pi$
$929$	−15.8166	−	21.7697i	−0.518927	−	0.714241i	−0.985393	+	0.170298i	$0.945527\pi$
$930$	1.07017	−	26.4474i	0.0350921	−	0.867245i
$931$	0.592552	−	0.815578i	0.0194201	−	0.0267295i
$932$	−11.6446	−	4.19871i	−0.381433	−	0.137533i
$933$	−22.6246	+	3.58338i	−0.740696	+	0.117315i
$934$	21.3883	+	2.02702i	0.699846	+	0.0663262i
$935$	−16.2484	−	1.68003i	−0.531378	−	0.0549430i
$936$	0.821833	−	1.20740i	0.0268624	−	0.0394651i
$937$	15.3946	−	7.84392i	0.502918	−	0.256250i	−0.184077	−	0.982912i	$-0.558929\pi$
$937$	15.3946	−	7.84392i	0.502918	−	0.256250i	0.686995	+	0.726662i	$0.258929\pi$
$938$	0.361010	−	0.298506i	0.0117874	−	0.00974656i
$939$	5.05200	+	15.5485i	0.164866	+	0.507405i
$940$	11.2521	+	32.1869i	0.367004	+	1.04982i
$941$	5.08360	−	15.6457i	0.165721	−	0.510036i	−0.833368	−	0.552719i	$-0.813590\pi$
$941$	5.08360	−	15.6457i	0.165721	−	0.510036i	0.999089	+	0.0426828i	$0.0135905\pi$
$942$	11.4310	+	28.8920i	0.372444	+	0.941352i
$943$	−39.8250	−	39.8250i	−1.29688	−	1.29688i
$944$	−53.0781	+	13.5732i	−1.72755	+	0.441771i
$945$	0.379642	−	1.42648i	0.0123498	−	0.0464033i
$946$	3.54893	+	3.13033i	0.115386	+	0.101776i
$947$	1.77920	−	11.2334i	0.0578162	−	0.365037i	−0.941770	−	0.336259i	$-0.890838\pi$
$947$	1.77920	−	11.2334i	0.0578162	−	0.365037i	0.999586	−	0.0287784i	$-0.00916172\pi$
$948$	−10.3351	−	0.329815i	−0.335668	−	0.0107119i
$949$			8.30515i			0.269597i
$950$	0.479801	−	0.974209i	0.0155668	−	0.0316075i
$951$			13.2989i			0.431245i
$952$	−1.35920	−	7.15347i	−0.0440519	−	0.231845i
$953$	−2.72091	+	17.1791i	−0.0881389	+	0.556487i	0.903617	+	0.428342i	$0.140902\pi$
$953$	−2.72091	+	17.1791i	−0.0881389	+	0.556487i	−0.991755	+	0.128145i	$0.959098\pi$
$954$	3.23039	−	3.66237i	0.104588	−	0.118573i
$955$	6.96593	−	5.66040i	0.225412	−	0.183166i
$956$	1.63522	−	8.54957i	0.0528868	−	0.276513i
$957$	4.95367	+	4.95367i	0.160129	+	0.160129i
$958$	−38.3598	+	15.1770i	−1.23935	+	0.490346i
$959$	0.727097	−	2.23778i	0.0234792	−	0.0722615i
$960$	−14.0217	−	11.1082i	−0.452549	−	0.358515i
$961$	−12.0705	−	37.1493i	−0.389372	−	1.19836i
$962$	−0.121383	−	0.146799i	−0.00391353	−	0.00473299i
$963$	−16.5949	+	8.45550i	−0.534762	+	0.272475i
$964$	−2.68554	+	2.51944i	−0.0864954	+	0.0811456i
$965$	4.90320	+	22.8777i	0.157840	+	0.736460i
$966$	−0.506172	+	5.34090i	−0.0162858	+	0.171841i
$967$	−41.9267	+	6.64054i	−1.34827	+	0.213545i	−0.788466	−	0.615078i	$-0.789125\pi$
$967$	−41.9267	+	6.64054i	−1.34827	+	0.213545i	−0.559807	+	0.828623i	$0.689125\pi$
$968$	21.0183	+	2.67078i	0.675555	+	0.0858422i
$969$	0.352028	−	0.484526i	0.0113088	−	0.0155652i
$970$	−35.7896	+	23.8532i	−1.14913	+	0.765881i
$971$	18.3672	+	25.2803i	0.589433	+	0.811284i	0.994690	−	0.102918i	$-0.0328180\pi$
$971$	18.3672	+	25.2803i	0.589433	+	0.811284i	−0.405257	+	0.914203i	$0.632818\pi$
$972$	−0.557050	−	1.92086i	−0.0178674	−	0.0616115i
$973$	8.58947	+	4.37656i	0.275366	+	0.140306i
$974$	−6.70201	−	30.0173i	−0.214746	−	0.961815i
$975$	−1.91290	+	1.73411i	−0.0612617	+	0.0555360i
$976$	6.66165	−	8.03666i	0.213234	−	0.257247i
$977$	−7.56711	+	14.8513i	−0.242093	+	0.475135i	−0.979798	−	0.199988i	$-0.935910\pi$
$977$	−7.56711	+	14.8513i	−0.242093	+	0.475135i	0.737705	+	0.675123i	$0.235910\pi$
$978$	−2.90976	+	0.182358i	−0.0930439	+	0.00583116i
$979$	−27.2980	+	19.8331i	−0.872446	+	0.633869i
$980$	13.9033	+	25.8549i	0.444126	+	0.825903i
$981$	−7.85880	−	5.70975i	−0.250912	−	0.182298i
$982$	−39.9044	−	25.3377i	−1.27340	−	0.808558i
$983$	3.01738	+	19.0510i	0.0962394	+	0.607632i	0.987920	+	0.154966i	$0.0495269\pi$
$983$	3.01738	+	19.0510i	0.0962394	+	0.607632i	−0.891680	+	0.452666i	$0.850473\pi$
$984$	26.0893	−	9.37127i	0.831696	−	0.298745i
$985$	28.9353	−	32.2453i	0.921956	−	1.02742i
$986$	17.7552	−	10.4946i	0.565440	−	0.334215i
$987$	2.28501	+	4.48459i	0.0727327	+	0.142746i
$988$	0.0972736	−	0.125279i	0.00309468	−	0.00398565i
$989$	−9.76242	+	3.17200i	−0.310427	+	0.100864i
$990$	−4.35469	+	4.01598i	−0.138401	+	0.127636i
$991$	15.5798	+	5.06219i	0.494909	+	0.160806i	0.545828	−	0.837897i	$-0.316215\pi$
$991$	15.5798	+	5.06219i	0.494909	+	0.160806i	−0.0509192	+	0.998703i	$0.516215\pi$
$992$	−45.0141	−	14.6864i	−1.42920	−	0.466292i
$993$	12.7999	−	12.7999i	0.406193	−	0.406193i
$994$	4.87503	+	2.11102i	0.154627	+	0.0669574i
$995$	31.8930	−	49.2929i	1.01107	−	1.56269i
$996$	−10.9633	+	19.9192i	−0.347385	+	0.631165i
$997$	−16.0054	−	2.53500i	−0.506895	−	0.0802842i	−0.102251	−	0.994759i	$-0.532604\pi$
$997$	−16.0054	−	2.53500i	−0.506895	−	0.0802842i	−0.404644	+	0.914474i	$0.632604\pi$
$998$	47.4233	+	12.1885i	1.50116	+	0.385820i
$999$	−0.260836			−0.00825249

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.67.4	✓	240
3.2	odd	2		900.2.bj.f.667.27		240
4.3	odd	2	inner	300.2.w.a.67.25	yes	240
12.11	even	2		900.2.bj.f.667.6		240
25.3	odd	20	inner	300.2.w.a.103.25	yes	240
75.53	even	20		900.2.bj.f.703.6		240
100.3	even	20	inner	300.2.w.a.103.4	yes	240
300.203	odd	20		900.2.bj.f.703.27		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.67.4	✓	240	1.1	even	1	trivial
300.2.w.a.67.25	yes	240	4.3	odd	2	inner
300.2.w.a.103.4	yes	240	100.3	even	20	inner
300.2.w.a.103.25	yes	240	25.3	odd	20	inner
900.2.bj.f.667.6		240	12.11	even	2
900.2.bj.f.667.27		240	3.2	odd	2
900.2.bj.f.703.6		240	75.53	even	20
900.2.bj.f.703.27		240	300.203	odd	20

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-1.36970 - 0.352033i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(1.75215 + 0.964358i) q^{4} +(1.21468 - 1.87738i) q^{5} +(1.29776 + 0.561967i) q^{6} +(-0.466793 + 0.466793i) q^{7} +(-2.06042 - 1.93769i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.32465 + 2.14383i) q^{10} +(1.78159 - 0.578872i) q^{11} +(-1.57971 - 1.22658i) q^{12} +(0.234433 + 0.460102i) q^{13} +(0.803693 - 0.475039i) q^{14} +(-1.49341 + 1.66425i) q^{15} +(2.14003 + 3.37939i) q^{16} +(-0.610050 - 3.85171i) q^{17} +(-1.19388 - 0.758063i) q^{18} +(-0.124246 - 0.0902702i) q^{19} +(3.93876 - 2.11805i) q^{20} +(0.534069 - 0.388024i) q^{21} +(-2.64402 + 0.165703i) q^{22} +(2.60885 - 5.12015i) q^{23} +(1.73194 + 2.23616i) q^{24} +(-2.04910 - 4.56083i) q^{25} +(-0.159132 - 0.712729i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.26805 + 0.367734i) q^{28} +(-2.19816 - 3.02551i) q^{29} +(2.63139 - 1.75378i) q^{30} +(4.91991 - 6.77167i) q^{31} +(-1.74153 - 5.38211i) q^{32} +(-1.85021 + 0.293044i) q^{33} +(-0.520343 + 5.49043i) q^{34} +(0.309343 + 1.44335i) q^{35} +(1.36839 + 1.45860i) q^{36} +(0.232407 - 0.118417i) q^{37} +(0.138402 + 0.167382i) q^{38} +(-0.159571 - 0.491110i) q^{39} +(-6.14054 + 1.51452i) q^{40} +(3.02867 - 9.32128i) q^{41} +(-0.868111 + 0.343466i) q^{42} +(-1.26309 - 1.26309i) q^{43} +(3.67984 + 0.703818i) q^{44} +(1.73537 - 1.41014i) q^{45} +(-5.37579 + 6.09466i) q^{46} +(-1.19271 + 7.53046i) q^{47} +(-1.58503 - 3.67256i) q^{48} +6.56421i q^{49} +(1.20108 + 6.96831i) q^{50} +3.89972i q^{51} +(-0.0329410 + 1.03224i) q^{52} +(-0.540190 + 3.41063i) q^{53} +(1.06059 + 0.935494i) q^{54} +(1.07730 - 4.04786i) q^{55} +(1.86629 - 0.0572906i) q^{56} +(0.108595 + 0.108595i) q^{57} +(1.94574 + 4.91787i) q^{58} +(-4.23246 + 13.0262i) q^{59} +(-4.22161 + 1.47582i) q^{60} +(-0.806430 - 2.48194i) q^{61} +(-9.12264 + 7.54318i) q^{62} +(-0.588194 + 0.299700i) q^{63} +(0.490698 + 7.98494i) q^{64} +(1.14855 + 0.118757i) q^{65} +(2.63739 + 0.249952i) q^{66} +(0.495584 - 0.0784927i) q^{67} +(2.64553 - 7.33706i) q^{68} +(-3.37769 + 4.64900i) q^{69} +(0.0844020 - 2.08586i) q^{70} +(3.34472 + 4.60362i) q^{71} +(-1.36080 - 2.47956i) q^{72} +(14.3303 + 7.30166i) q^{73} +(-0.360014 + 0.0803809i) q^{74} +(1.31040 + 4.82523i) q^{75} +(-0.130645 - 0.277984i) q^{76} +(-0.561419 + 1.10185i) q^{77} +(0.0456776 + 0.728847i) q^{78} +(4.18276 - 3.03896i) q^{79} +(8.94385 + 0.0872410i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-7.42975 + 11.7011i) q^{82} +(-1.77842 - 11.2285i) q^{83} +(1.30996 - 0.164841i) q^{84} +(-7.97213 - 3.53330i) q^{85} +(1.28540 + 2.17470i) q^{86} +(1.69781 + 3.33213i) q^{87} +(-4.79250 - 2.25944i) q^{88} +(-17.1308 + 5.56614i) q^{89} +(-2.87335 + 1.32055i) q^{90} +(-0.324204 - 0.105340i) q^{91} +(9.50873 - 6.45538i) q^{92} +(-5.91866 + 5.91866i) q^{93} +(4.28462 - 9.89459i) q^{94} +(-0.320391 + 0.123608i) q^{95} +(0.878147 + 5.58828i) q^{96} +(13.4335 + 2.12767i) q^{97} +(2.31082 - 8.99098i) q^{98} +1.87327 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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