LMFDB - Embedded newform 300.2.r.a.59.55

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(59,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("300.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.r (of order $10$, degree $4$, 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:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.55
Character	$\chi$	$=$	300.59
Dual form			300.2.r.a.239.55

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41029 + 0.105278i) q^{2} +(-1.72988 + 0.0865951i) q^{3} +(1.97783 + 0.296946i) q^{4} +(2.23180 + 0.138020i) q^{5} +(-2.44875 - 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 + 0.627002i) q^{8} +(2.98500 - 0.299599i) q^{9} +O(q^{10})$	\(q+(1.41029 + 0.105278i) q^{2} +(-1.72988 + 0.0865951i) q^{3} +(1.97783 + 0.296946i) q^{4} +(2.23180 + 0.138020i) q^{5} +(-2.44875 - 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 + 0.627002i) q^{8} +(2.98500 - 0.299599i) q^{9} +(3.13296 + 0.429608i) q^{10} +(3.14759 + 2.28686i) q^{11} +(-3.44714 - 0.342411i) q^{12} +(-2.67449 - 3.68112i) q^{13} +(-2.41822 - 0.180521i) q^{14} +(-3.87272 - 0.0454950i) q^{15} +(3.82365 + 1.17462i) q^{16} +(-1.44409 + 4.44446i) q^{17} +(4.24126 - 0.108266i) q^{18} +(2.75739 + 0.895932i) q^{19} +(4.37315 + 0.935705i) q^{20} +(2.96623 - 0.148484i) q^{21} +(4.19826 + 3.55651i) q^{22} +(3.94620 - 5.43148i) q^{23} +(-4.82541 - 0.845808i) q^{24} +(4.96190 + 0.616066i) q^{25} +(-3.38427 - 5.47302i) q^{26} +(-5.13777 + 0.776759i) q^{27} +(-3.39139 - 0.509172i) q^{28} +(-7.46173 + 2.42446i) q^{29} +(-5.45686 - 0.471874i) q^{30} +(-6.34887 - 2.06287i) q^{31} +(5.26879 + 2.05910i) q^{32} +(-5.64300 - 3.68344i) q^{33} +(-2.50449 + 6.11594i) q^{34} +(-3.82687 - 0.236662i) q^{35} +(5.99280 + 0.293827i) q^{36} +(-3.44774 - 4.74541i) q^{37} +(3.79440 + 1.55382i) q^{38} +(4.94533 + 6.13632i) q^{39} +(6.06890 + 1.78001i) q^{40} +(-3.75291 - 5.16544i) q^{41} +(4.19888 + 0.102874i) q^{42} -2.64933 q^{43} +(5.54634 + 5.45769i) q^{44} +(6.70329 - 0.256657i) q^{45} +(6.13711 - 7.24452i) q^{46} +(-5.75149 + 1.86877i) q^{47} +(-6.71618 - 1.70085i) q^{48} -4.05981 q^{49} +(6.93286 + 1.39121i) q^{50} +(2.11325 - 7.81346i) q^{51} +(-4.19661 - 8.07483i) q^{52} +(0.134895 + 0.415164i) q^{53} +(-7.32751 + 0.554559i) q^{54} +(6.70918 + 5.53825i) q^{55} +(-4.72923 - 1.07512i) q^{56} +(-4.84756 - 1.31108i) q^{57} +(-10.7784 + 2.63364i) q^{58} +(-2.61576 + 1.90046i) q^{59} +(-7.64608 - 1.23997i) q^{60} +(5.20398 + 3.78091i) q^{61} +(-8.73657 - 3.57765i) q^{62} +(-5.11838 + 0.513722i) q^{63} +(7.21374 + 3.45861i) q^{64} +(-5.46088 - 8.58468i) q^{65} +(-7.57048 - 5.78880i) q^{66} +(-1.75844 + 5.41192i) q^{67} +(-4.17594 + 8.36158i) q^{68} +(-6.35614 + 9.73757i) q^{69} +(-5.37208 - 0.736649i) q^{70} +(-3.57396 - 10.9995i) q^{71} +(8.42065 + 1.04529i) q^{72} +(4.32575 - 5.95389i) q^{73} +(-4.36272 - 7.05537i) q^{74} +(-8.63687 - 0.636047i) q^{75} +(5.18762 + 2.59080i) q^{76} +(-5.39717 - 3.92127i) q^{77} +(6.32833 + 9.17463i) q^{78} +(3.64146 - 1.18318i) q^{79} +(8.37151 + 3.14926i) q^{80} +(8.82048 - 1.78861i) q^{81} +(-4.74888 - 7.67987i) q^{82} +(-4.21070 - 1.36814i) q^{83} +(5.91080 + 0.587132i) q^{84} +(-3.83636 + 9.71985i) q^{85} +(-3.73632 - 0.278917i) q^{86} +(12.6980 - 4.84019i) q^{87} +(7.24737 + 8.28083i) q^{88} +(2.46198 - 3.38862i) q^{89} +(9.48060 + 0.343750i) q^{90} +(4.58595 + 6.31202i) q^{91} +(9.41779 - 9.57076i) q^{92} +(11.1615 + 3.01875i) q^{93} +(-8.30801 + 2.03000i) q^{94} +(6.03031 + 2.38012i) q^{95} +(-9.29270 - 3.10575i) q^{96} +(8.74495 - 2.84141i) q^{97} +(-5.72551 - 0.427410i) q^{98} +(10.0807 + 5.88327i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	$ 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	1.41029	+	0.105278i	0.997225	+	0.0744430i
$2$	1.41029	+	0.105278i	0.997225	+	0.0744430i
$3$	−1.72988	+	0.0865951i	−0.998749	+	0.0499957i
$3$	−1.72988	+	0.0865951i	−0.998749	+	0.0499957i
$4$	1.97783	+	0.296946i	0.988916	+	0.148473i
$5$	2.23180	+	0.138020i	0.998093	+	0.0617243i
$5$	2.23180	+	0.138020i	0.998093	+	0.0617243i
$6$	−2.44875	−	0.0599951i	−0.999700	−	0.0244929i
$7$	−1.71470			−0.648095			−0.324048	−	0.946041i	$-0.605044\pi$
$7$	−1.71470			−0.648095			−0.324048	+	0.946041i	$0.605044\pi$
$8$	2.75806	+	0.627002i	0.975120	+	0.221679i
$9$	2.98500	−	0.299599i	0.995001	−	0.0998664i
$10$	3.13296	+	0.429608i	0.990729	+	0.135854i
$11$	3.14759	+	2.28686i	0.949035	+	0.689514i	0.950578	−	0.310485i	$-0.100491\pi$
$11$	3.14759	+	2.28686i	0.949035	+	0.689514i	−0.00154353	+	0.999999i	$0.500491\pi$
$12$	−3.44714	−	0.342411i	−0.995103	−	0.0988456i
$13$	−2.67449	−	3.68112i	−0.741771	−	1.02096i	−0.998515	−	0.0544806i	$-0.982650\pi$
$13$	−2.67449	−	3.68112i	−0.741771	−	1.02096i	0.256744	−	0.966479i	$-0.417350\pi$
$14$	−2.41822	−	0.180521i	−0.646297	−	0.0482461i
$15$	−3.87272	−	0.0454950i	−0.999931	−	0.0117467i
$16$	3.82365	+	1.17462i	0.955912	+	0.293655i
$17$	−1.44409	+	4.44446i	−0.350244	+	1.07794i	0.608472	+	0.793575i	$0.291783\pi$
$17$	−1.44409	+	4.44446i	−0.350244	+	1.07794i	−0.958716	+	0.284365i	$0.908217\pi$
$18$	4.24126	−	0.108266i	0.999674	−	0.0255184i
$19$	2.75739	+	0.895932i	0.632590	+	0.205541i	0.607722	−	0.794150i	$-0.292084\pi$
$19$	2.75739	+	0.895932i	0.632590	+	0.205541i	0.0248678	+	0.999691i	$0.492084\pi$
$20$	4.37315	+	0.935705i	0.977866	+	0.209230i
$21$	2.96623	−	0.148484i	0.647285	−	0.0324020i
$22$	4.19826	+	3.55651i	0.895072	+	0.758250i
$23$	3.94620	−	5.43148i	0.822841	−	1.13254i	−0.166373	−	0.986063i	$-0.553206\pi$
$23$	3.94620	−	5.43148i	0.822841	−	1.13254i	0.989214	−	0.146480i	$-0.0467944\pi$
$24$	−4.82541	−	0.845808i	−0.984983	−	0.172650i
$25$	4.96190	+	0.616066i	0.992380	+	0.123213i
$26$	−3.38427	−	5.47302i	−0.663709	−	1.07335i
$27$	−5.13777	+	0.776759i	−0.988764	+	0.149487i
$28$	−3.39139	−	0.509172i	−0.640912	−	0.0962245i
$29$	−7.46173	+	2.42446i	−1.38561	+	0.450211i	−0.904509	−	0.426455i	$-0.859762\pi$
$29$	−7.46173	+	2.42446i	−1.38561	+	0.450211i	−0.481099	+	0.876666i	$0.659762\pi$
$30$	−5.45686	−	0.471874i	−0.996282	−	0.0861520i
$31$	−6.34887	−	2.06287i	−1.14029	−	0.370503i	−0.322813	−	0.946463i	$-0.604629\pi$
$31$	−6.34887	−	2.06287i	−1.14029	−	0.370503i	−0.817478	+	0.575960i	$0.804629\pi$
$32$	5.26879	+	2.05910i	0.931399	+	0.364001i
$33$	−5.64300	−	3.68344i	−0.982321	−	0.641204i
$34$	−2.50449	+	6.11594i	−0.429517	+	1.04888i
$35$	−3.82687	−	0.236662i	−0.646859	−	0.0400032i
$36$	5.99280	+	0.293827i	0.998800	+	0.0489711i
$37$	−3.44774	−	4.74541i	−0.566805	−	0.780140i	0.425367	−	0.905021i	$-0.360145\pi$
$37$	−3.44774	−	4.74541i	−0.566805	−	0.780140i	−0.992172	+	0.124881i	$0.960145\pi$
$38$	3.79440	+	1.55382i	0.615533	+	0.252062i
$39$	4.94533	+	6.13632i	0.791887	+	0.982598i
$40$	6.06890	+	1.78001i	0.959577	+	0.281445i
$41$	−3.75291	−	5.16544i	−0.586106	−	0.806706i	0.408242	−	0.912874i	$-0.366142\pi$
$41$	−3.75291	−	5.16544i	−0.586106	−	0.806706i	−0.994348	+	0.106168i	$0.966142\pi$
$42$	4.19888	+	0.102874i	0.647901	+	0.0158737i
$43$	−2.64933			−0.404019			−0.202009	−	0.979384i	$-0.564747\pi$
$43$	−2.64933			−0.404019			−0.202009	+	0.979384i	$0.564747\pi$
$44$	5.54634	+	5.45769i	0.836142	+	0.822778i
$45$	6.70329	−	0.256657i	0.999268	−	0.0382602i
$46$	6.13711	−	7.24452i	0.904867	−	1.06815i
$47$	−5.75149	+	1.86877i	−0.838941	+	0.272589i	−0.696807	−	0.717259i	$-0.745397\pi$
$47$	−5.75149	+	1.86877i	−0.838941	+	0.272589i	−0.142134	+	0.989847i	$0.545397\pi$
$48$	−6.71618	−	1.70085i	−0.969398	−	0.245496i
$49$	−4.05981			−0.579973
$50$	6.93286	+	1.39121i	0.980454	+	0.196747i
$51$	2.11325	−	7.81346i	0.295914	−	1.09410i
$52$	−4.19661	−	8.07483i	−0.581965	−	1.11978i
$53$	0.134895	+	0.415164i	0.0185293	+	0.0570272i	0.959894	−	0.280364i	$-0.0904553\pi$
$53$	0.134895	+	0.415164i	0.0185293	+	0.0570272i	−0.941364	+	0.337392i	$0.890455\pi$
$54$	−7.32751	+	0.554559i	−0.997148	+	0.0754660i
$55$	6.70918	+	5.53825i	0.904665	+	0.746778i
$56$	−4.72923	−	1.07512i	−0.631970	−	0.143669i
$57$	−4.84756	−	1.31108i	−0.642075	−	0.173657i
$58$	−10.7784	+	2.63364i	−1.41528	+	0.345813i
$59$	−2.61576	+	1.90046i	−0.340543	+	0.247419i	−0.744891	−	0.667186i	$-0.767498\pi$
$59$	−2.61576	+	1.90046i	−0.340543	+	0.247419i	0.404348	+	0.914605i	$0.367498\pi$
$60$	−7.64608	−	1.23997i	−0.987104	−	0.160079i
$61$	5.20398	+	3.78091i	0.666301	+	0.484096i	0.868785	−	0.495189i	$-0.164901\pi$
$61$	5.20398	+	3.78091i	0.666301	+	0.484096i	−0.202484	+	0.979286i	$0.564901\pi$
$62$	−8.73657	−	3.57765i	−1.10955	−	0.454362i
$63$	−5.11838	+	0.513722i	−0.644855	+	0.0647229i
$64$	7.21374	+	3.45861i	0.901717	+	0.432327i
$65$	−5.46088	−	8.58468i	−0.677338	−	1.06480i
$66$	−7.57048	−	5.78880i	−0.931862	−	0.712552i
$67$	−1.75844	+	5.41192i	−0.214828	+	0.661171i	0.784338	+	0.620334i	$0.213003\pi$
$67$	−1.75844	+	5.41192i	−0.214828	+	0.661171i	−0.999166	+	0.0408380i	$0.986997\pi$
$68$	−4.17594	+	8.36158i	−0.506407	+	1.01399i
$69$	−6.35614	+	9.73757i	−0.765189	+	1.17227i
$70$	−5.37208	−	0.736649i	−0.642086	−	0.0880464i
$71$	−3.57396	−	10.9995i	−0.424151	−	1.30540i	−0.903805	−	0.427944i	$-0.859238\pi$
$71$	−3.57396	−	10.9995i	−0.424151	−	1.30540i	0.479654	−	0.877457i	$-0.340762\pi$
$72$	8.42065	+	1.04529i	0.992383	+	0.123189i
$73$	4.32575	−	5.95389i	0.506291	−	0.696850i	−0.476997	−	0.878905i	$-0.658275\pi$
$73$	4.32575	−	5.95389i	0.506291	−	0.696850i	0.983288	+	0.182055i	$0.0582748\pi$
$74$	−4.36272	−	7.05537i	−0.507156	−	0.820170i
$75$	−8.63687	−	0.636047i	−0.997299	−	0.0734444i
$76$	5.18762	+	2.59080i	0.595061	+	0.297185i
$77$	−5.39717	−	3.92127i	−0.615065	−	0.446871i
$78$	6.32833	+	9.17463i	0.716542	+	1.03882i
$79$	3.64146	−	1.18318i	0.409696	−	0.133118i	−0.0969156	−	0.995293i	$-0.530898\pi$
$79$	3.64146	−	1.18318i	0.409696	−	0.133118i	0.506612	+	0.862174i	$0.330898\pi$
$80$	8.37151	+	3.14926i	0.935963	+	0.352098i
$81$	8.82048	−	1.78861i	0.980053	−	0.198734i
$82$	−4.74888	−	7.67987i	−0.524426	−	0.848099i
$83$	−4.21070	−	1.36814i	−0.462185	−	0.150173i	0.0686635	−	0.997640i	$-0.478127\pi$
$83$	−4.21070	−	1.36814i	−0.462185	−	0.150173i	−0.530848	+	0.847467i	$0.678127\pi$
$84$	5.91080	+	0.587132i	0.644921	+	0.0640614i
$85$	−3.83636	+	9.71985i	−0.416111	+	1.05427i
$86$	−3.73632	−	0.278917i	−0.402897	−	0.0300764i
$87$	12.6980	−	4.84019i	1.36137	−	0.518923i
$88$	7.24737	+	8.28083i	0.772572	+	0.882740i
$89$	2.46198	−	3.38862i	0.260969	−	0.359193i	−0.658346	−	0.752716i	$-0.728744\pi$
$89$	2.46198	−	3.38862i	0.260969	−	0.359193i	0.919315	+	0.393522i	$0.128744\pi$
$90$	9.48060	+	0.343750i	0.999343	+	0.0362344i
$91$	4.58595	+	6.31202i	0.480738	+	0.661679i
$92$	9.41779	−	9.57076i	0.981873	−	0.997821i
$93$	11.1615	+	3.01875i	1.15739	+	0.313030i
$94$	−8.30801	+	2.03000i	−0.856906	+	0.209379i
$95$	6.03031	+	2.38012i	0.618697	+	0.244195i
$96$	−9.29270	−	3.10575i	−0.948432	−	0.316980i
$97$	8.74495	−	2.84141i	0.887915	−	0.288501i	0.170675	−	0.985327i	$-0.445405\pi$
$97$	8.74495	−	2.84141i	0.887915	−	0.288501i	0.717240	+	0.696826i	$0.245405\pi$
$98$	−5.72551	−	0.427410i	−0.578364	−	0.0431749i
$99$	10.0807	+	5.88327i	1.01315	+	0.591291i
$100$	9.63087	+	2.69189i	0.963087	+	0.269189i
$101$			16.4183i			1.63368i	0.576863	+	0.816841i	$0.304277\pi$
$101$			16.4183i			1.63368i	−0.576863	+	0.816841i	$0.695723\pi$
$102$	3.80288	−	10.7968i	0.376541	−	1.06904i
$103$	0.620098	+	1.90846i	0.0611000	+	0.188047i	0.976947	−	0.213480i	$-0.0684798\pi$
$103$	0.620098	+	1.90846i	0.0611000	+	0.188047i	−0.915847	+	0.401526i	$0.868480\pi$
$104$	−5.06833	−	11.8297i	−0.496990	−	1.15999i
$105$	6.64054	+	0.0780101i	0.648050	+	0.00761301i
$106$	0.146533	+	0.599703i	0.0142326	+	0.0582483i
$107$			16.1556i			1.56182i	0.624642	+	0.780912i	$0.285245\pi$
$107$			16.1556i			1.56182i	−0.624642	+	0.780912i	$0.714755\pi$
$108$	−10.3923	+	0.0106608i	−0.999999	+	0.00102584i
$109$	2.91643	−	2.11891i	0.279343	−	0.202955i	−0.439288	−	0.898346i	$-0.644769\pi$
$109$	2.91643	−	2.11891i	0.279343	−	0.202955i	0.718631	+	0.695392i	$0.244769\pi$
$110$	8.87883	+	8.51687i	0.846563	+	0.812052i
$111$	6.37512	+	7.91045i	0.605100	+	0.750826i
$112$	−6.55640	−	2.01412i	−0.619522	−	0.190316i
$113$	−1.32438	+	0.962220i	−0.124587	+	0.0905180i	−0.648334	−	0.761356i	$-0.724534\pi$
$113$	−1.32438	+	0.962220i	−0.124587	+	0.0905180i	0.523747	+	0.851874i	$0.324534\pi$
$114$	−6.69843	−	2.35935i	−0.627366	−	0.220973i
$115$	9.55681	−	11.5774i	0.891177	−	1.07959i
$116$	−15.4780	+	2.57945i	−1.43709	+	0.239496i
$117$	−9.08623	−	10.1869i	−0.840022	−	0.941778i
$118$	−3.88905	+	2.40481i	−0.358016	+	0.221381i
$119$	2.47618	−	7.62091i	0.226991	−	0.698608i
$120$	−10.6526	−	2.55368i	−0.972448	−	0.233118i
$121$	1.27842	+	3.93458i	0.116220	+	0.357690i
$122$	6.94107	+	5.88005i	0.628415	+	0.532355i
$123$	6.93941	+	8.61063i	0.625705	+	0.776395i
$124$	−11.9445	−	5.96529i	−1.07264	−	0.535699i
$125$	10.9890	+	2.05978i	0.982883	+	0.184232i
$126$	−7.27248	+	0.185643i	−0.647884	+	0.0165384i
$127$	3.46459	+	2.51717i	0.307432	+	0.223363i	0.730794	−	0.682598i	$-0.239150\pi$
$127$	3.46459	+	2.51717i	0.307432	+	0.223363i	−0.423362	+	0.905961i	$0.639150\pi$
$128$	9.80934	+	5.63710i	0.867031	+	0.498254i
$129$	4.58303	−	0.229419i	0.403513	−	0.0201992i
$130$	−6.79764	−	12.6818i	−0.596192	−	1.11227i
$131$	2.82819	−	8.70426i	0.247100	−	0.760495i	−0.748184	−	0.663491i	$-0.769074\pi$
$131$	2.82819	−	8.70426i	0.247100	−	0.760495i	0.995284	−	0.0970038i	$-0.0309259\pi$
$132$	−10.0671	−	8.96089i	−0.876232	−	0.779945i
$133$	−4.72810	−	1.53625i	−0.409978	−	0.133210i
$134$	−3.04967	+	7.44725i	−0.263451	+	0.643344i
$135$	−11.5737	+	1.02446i	−0.996105	+	0.0881715i
$136$	−6.76957	+	11.3526i	−0.580486	+	0.973479i
$137$	1.66536	−	1.20995i	0.142281	−	0.103373i	−0.514368	−	0.857570i	$-0.671973\pi$
$137$	1.66536	−	1.20995i	0.142281	−	0.103373i	0.656649	+	0.754196i	$0.271973\pi$
$138$	−9.98915	+	13.0636i	−0.850333	+	1.11205i
$139$	7.79175	−	10.7244i	0.660887	−	0.909633i	−0.338623	−	0.940922i	$-0.609961\pi$
$139$	7.79175	−	10.7244i	0.660887	−	0.909633i	0.999510	+	0.0312888i	$0.00996117\pi$
$140$	−7.49864	−	1.60445i	−0.633750	−	0.135601i
$141$	9.78759	−	3.73081i	0.824264	−	0.314191i
$142$	−3.88230	−	15.8888i	−0.325796	−	1.33335i
$143$		−	17.7029i		−	1.48039i
$144$	11.7655	+	2.36068i	0.980459	+	0.196723i
$145$	−16.9877	+	4.38106i	−1.41075	+	0.363827i
$146$	6.72738	−	7.94130i	0.556762	−	0.657227i
$147$	7.02300	−	0.351560i	0.579248	−	0.0289962i
$148$	−5.40992	−	10.4094i	−0.444693	−	0.855648i
$149$			18.9421i			1.55179i	0.630860	+	0.775897i	$0.282702\pi$
$149$			18.9421i			1.55179i	−0.630860	+	0.775897i	$0.717298\pi$
$150$	−12.1135	−	1.80629i	−0.989065	−	0.147483i
$151$		−	9.97260i		−	0.811558i	−0.913971	−	0.405779i	$-0.867000\pi$
$151$		−	9.97260i		−	0.811558i	0.913971	−	0.405779i	$-0.133000\pi$
$152$	7.04329	+	4.19992i	0.571287	+	0.340659i
$153$	−2.97906	+	13.6994i	−0.240843	+	1.10753i
$154$	−7.19875	−	6.09834i	−0.580092	−	0.491418i
$155$	−13.8847	−	5.48020i	−1.11525	−	0.440180i
$156$	7.95889	+	13.6051i	0.637221	+	1.08928i
$157$			20.6829i			1.65068i	0.564639	+	0.825338i	$0.309015\pi$
$157$			20.6829i			1.65068i	−0.564639	+	0.825338i	$0.690985\pi$
$158$	5.26008	−	1.28526i	0.418469	−	0.102250i
$159$	−0.269304	−	0.706505i	−0.0213572	−	0.0560295i
$160$	11.4747	+	5.32270i	0.907155	+	0.420797i
$161$	−6.76655	+	9.31336i	−0.533279	+	0.733995i
$162$	12.6277	−	1.59385i	0.992128	−	0.125225i
$163$	1.14950	−	0.835159i	0.0900356	−	0.0654147i	−0.541857	−	0.840471i	$-0.682278\pi$
$163$	1.14950	−	0.835159i	0.0900356	−	0.0654147i	0.631892	+	0.775056i	$0.282278\pi$
$164$	−5.88878	−	11.3308i	−0.459836	−	0.884786i
$165$	−12.0857	−	8.99956i	−0.940870	−	0.700615i
$166$	−5.79427	−	2.37277i	−0.449723	−	0.184163i
$167$	−3.52777	−	1.14624i	−0.272987	−	0.0886988i	0.169325	−	0.985560i	$-0.445841\pi$
$167$	−3.52777	−	1.14624i	−0.272987	−	0.0886988i	−0.442311	+	0.896862i	$0.645841\pi$
$168$	8.27413	+	1.45031i	0.638363	+	0.111893i
$169$	−2.38054	+	7.32654i	−0.183118	+	0.563580i
$170$	−6.43366	+	13.3039i	−0.493439	+	1.02036i
$171$	8.49925	+	1.84825i	0.649954	+	0.141339i
$172$	−5.23993	−	0.786706i	−0.399541	−	0.0599858i
$173$	−3.55951	−	2.58613i	−0.270624	−	0.196620i	0.444193	−	0.895931i	$-0.353490\pi$
$173$	−3.55951	−	2.58613i	−0.270624	−	0.196620i	−0.714818	+	0.699311i	$0.753490\pi$
$174$	18.4174	−	5.48925i	1.39622	−	0.416139i
$175$	−8.50816	−	1.05637i	−0.643157	−	0.0798539i
$176$	9.34909	+	12.4414i	0.704714	+	0.937803i
$177$	4.36039	−	3.51409i	0.327747	−	0.264135i
$178$	3.82885	−	4.51975i	0.286985	−	0.338769i
$179$	5.88951	+	18.1260i	0.440203	+	1.35480i	0.887660	+	0.460499i	$0.152330\pi$
$179$	5.88951	+	18.1260i	0.440203	+	1.35480i	−0.447458	+	0.894305i	$0.647670\pi$
$180$	13.3342	+	1.48289i	0.993873	+	0.110528i
$181$	2.77000	−	8.52519i	0.205893	−	0.633672i	−0.793783	−	0.608201i	$-0.791891\pi$
$181$	2.77000	−	8.52519i	0.205893	−	0.633672i	0.999676	−	0.0254712i	$-0.00810862\pi$
$182$	5.80300	+	9.38457i	0.430147	+	0.695631i
$183$	−9.32970	−	6.08990i	−0.689671	−	0.450179i
$184$	14.2894	−	12.5061i	1.05343	−	0.921959i
$185$	−7.03972	−	11.0667i	−0.517570	−	0.813638i
$186$	15.4231	+	5.43238i	1.13087	+	0.398321i
$187$	−14.7093	+	10.6869i	−1.07565	+	0.781504i
$188$	−11.9304	+	1.98824i	−0.870115	+	0.145007i
$189$	8.80972	−	1.33191i	0.640813	−	0.0968820i
$190$	8.25391	+	3.99152i	0.598801	+	0.289575i
$191$	15.4262	−	11.2078i	1.11620	−	0.810969i	0.132574	−	0.991173i	$-0.457676\pi$
$191$	15.4262	−	11.2078i	1.11620	−	0.810969i	0.983629	+	0.180204i	$0.0576758\pi$
$192$	−12.7784	−	5.35833i	−0.922204	−	0.386704i
$193$			7.83116i			0.563699i	0.959459	+	0.281850i	$0.0909479\pi$
$193$			7.83116i			0.563699i	−0.959459	+	0.281850i	$0.909052\pi$
$194$	12.6320	−	3.08655i	0.906928	−	0.221601i
$195$	10.1901	+	14.3776i	0.729727	+	1.02960i
$196$	−8.02963	−	1.20554i	−0.573545	−	0.0861102i
$197$	−5.64257	−	17.3661i	−0.402017	−	1.23728i	−0.923361	−	0.383934i	$-0.874569\pi$
$197$	−5.64257	−	17.3661i	−0.402017	−	1.23728i	0.521344	−	0.853347i	$-0.325431\pi$
$198$	13.5973	+	9.35839i	0.966321	+	0.665072i
$199$		−	9.14196i		−	0.648057i	−0.946047	−	0.324028i	$-0.894963\pi$
$199$		−	9.14196i		−	0.648057i	0.946047	−	0.324028i	$-0.105037\pi$
$200$	13.2989	+	4.81027i	0.940376	+	0.340137i
$201$	2.57325	−	9.51427i	0.181503	−	0.671085i
$202$	−1.72849	+	23.1546i	−0.121616	+	1.62915i
$203$	12.7946	−	4.15722i	0.898005	−	0.291780i
$204$	6.49982	−	14.8262i	0.455078	−	1.03804i
$205$	−7.66283	−	12.0462i	−0.535195	−	0.841345i
$206$	0.673597	+	2.75677i	0.0469317	+	0.192073i
$207$	10.1522	−	17.3953i	0.705624	−	1.20906i
$208$	−5.90240	−	17.2168i	−0.409258	−	1.19377i
$209$	6.63028	+	9.12580i	0.458626	+	0.631245i
$210$	9.35687	+	0.809122i	0.645685	+	0.0558347i
$211$	−6.21858	+	8.55914i	−0.428105	+	0.589236i	−0.967517	−	0.252806i	$-0.918647\pi$
$211$	−6.21858	+	8.55914i	−0.428105	+	0.589236i	0.539412	+	0.842042i	$0.318647\pi$
$212$	0.143519	+	0.861182i	0.00985690	+	0.0591462i
$213$	7.13504	+	18.7184i	0.488885	+	1.28256i
$214$	−1.70084	+	22.7841i	−0.116267	+	1.55749i
$215$	−5.91278	−	0.365659i	−0.403248	−	0.0249378i
$216$	−14.6573	−	1.07905i	−0.997301	−	0.0734200i
$217$	10.8864	+	3.53721i	0.739017	+	0.240121i
$218$	4.33608	−	2.68124i	0.293677	−	0.181596i
$219$	−6.96748	+	10.6741i	−0.470818	+	0.721291i
$220$	11.6251	+	12.9460i	0.783762	+	0.872819i
$221$	20.2228	−	6.57079i	1.36033	−	0.441999i
$222$	8.15797	+	11.8272i	0.547527	+	0.793788i
$223$	−10.7440	−	7.80598i	−0.719472	−	0.522727i	0.166743	−	0.986000i	$-0.446675\pi$
$223$	−10.7440	−	7.80598i	−0.719472	−	0.522727i	−0.886216	+	0.463273i	$0.846675\pi$
$224$	−9.03438	−	3.53073i	−0.603635	−	0.235907i
$225$	14.9959	+	0.352378i	0.999724	+	0.0234919i
$226$	−1.96906	+	1.21758i	−0.130980	+	0.0809922i
$227$	−11.1209	+	15.3066i	−0.738118	+	1.01593i	0.260606	+	0.965445i	$0.416078\pi$
$227$	−11.1209	+	15.3066i	−0.738118	+	1.01593i	−0.998725	+	0.0504878i	$0.983922\pi$
$228$	−9.19834	−	4.03256i	−0.609175	−	0.267063i
$229$	−6.73708	−	20.7346i	−0.445199	−	1.37018i	−0.882265	−	0.470752i	$-0.843983\pi$
$229$	−6.73708	−	20.7346i	−0.445199	−	1.37018i	0.437067	−	0.899429i	$-0.356017\pi$
$230$	14.6967	−	15.3213i	0.969073	−	1.01026i
$231$	9.67605	+	6.31598i	0.636637	+	0.415561i
$232$	−22.1000	+	2.00828i	−1.45094	+	0.131850i
$233$	3.71162	−	11.4232i	0.243156	−	0.748358i	−0.752778	−	0.658274i	$-0.771287\pi$
$233$	3.71162	−	11.4232i	0.243156	−	0.748358i	0.995934	−	0.0900833i	$-0.0287133\pi$
$234$	−11.7418	−	15.3230i	−0.767583	−	1.00170i
$235$	−13.0941	+	3.37692i	−0.854167	+	0.220286i
$236$	−5.73786	+	2.98205i	−0.373503	+	0.194115i
$237$	−6.19685	+	2.36210i	−0.402529	+	0.153435i
$238$	4.29445	−	10.4870i	0.278368	−	0.679771i
$239$	10.7819	+	7.83352i	0.697424	+	0.506708i	0.879092	−	0.476652i	$-0.158150\pi$
$239$	10.7819	+	7.83352i	0.697424	+	0.506708i	−0.181668	+	0.983360i	$0.558150\pi$
$240$	−14.7545	−	4.72292i	−0.952396	−	0.304863i
$241$	−23.1913	+	16.8495i	−1.49388	+	1.08537i	−0.521145	+	0.853468i	$0.674495\pi$
$241$	−23.1913	+	16.8495i	−1.49388	+	1.08537i	−0.972739	+	0.231903i	$0.925505\pi$
$242$	1.38872	+	5.68349i	0.0892704	+	0.365349i
$243$	−15.1035	+	3.85790i	−0.968892	+	0.247484i
$244$	9.16988	+	9.02331i	0.587041	+	0.577659i
$245$	−9.06070	−	0.560334i	−0.578867	−	0.0357984i
$246$	8.88006	+	12.8741i	0.566172	+	0.820820i
$247$	−4.07660	−	12.5465i	−0.259388	−	0.798313i
$248$	−16.2171	−	9.67028i	−1.02979	−	0.614063i
$249$	7.40250	+	2.00210i	0.469115	+	0.126878i
$250$	15.2808	+	4.06179i	0.966441	+	0.256890i
$251$	2.78064			0.175513			0.0877564	−	0.996142i	$-0.472030\pi$
$251$	2.78064			0.175513			0.0877564	+	0.996142i	$0.472030\pi$
$252$	−10.2758	−	0.503824i	−0.647317	−	0.0317379i
$253$	24.8421	−	8.07168i	1.56181	−	0.507462i
$254$	4.62107	+	3.91468i	0.289952	+	0.245629i
$255$	5.79476	−	17.1464i	0.362882	−	1.07375i
$256$	13.2405	+	8.98265i	0.827534	+	0.561416i
$257$	1.23476			0.0770224			0.0385112	−	0.999258i	$-0.487738\pi$
$257$	1.23476			0.0770224			0.0385112	+	0.999258i	$0.487738\pi$
$258$	6.48755	+	0.158947i	0.403897	+	0.00989559i
$259$	5.91183	+	8.13694i	0.367343	+	0.505605i
$260$	−8.25152	−	18.6006i	−0.511737	−	1.15356i
$261$	−21.5469	+	9.47255i	−1.33372	+	0.586336i
$262$	4.90493	−	11.9778i	0.303028	−	0.739990i
$263$	1.80536	+	2.48486i	0.111323	+	0.153223i	0.861043	−	0.508532i	$-0.169812\pi$
$263$	1.80536	+	2.48486i	0.111323	+	0.153223i	−0.749720	+	0.661755i	$0.769812\pi$
$264$	−13.2542	−	13.6973i	−0.815739	−	0.843011i
$265$	0.243758	+	0.945183i	0.0149740	+	0.0580622i
$266$	−6.50626	−	2.66433i	−0.398924	−	0.163360i
$267$	−3.96550	+	6.07512i	−0.242685	+	0.371792i
$268$	−5.08495	+	10.1817i	−0.310613	+	0.621947i
$269$	−18.2884	−	5.94228i	−1.11507	−	0.362307i	−0.307183	−	0.951650i	$-0.599387\pi$
$269$	−18.2884	−	5.94228i	−1.11507	−	0.362307i	−0.807883	+	0.589343i	$0.799387\pi$
$270$	−16.4301	+	0.226326i	−0.999905	+	0.0137737i
$271$	6.35379	−	2.06447i	0.385966	−	0.125408i	−0.109606	−	0.993975i	$-0.534959\pi$
$271$	6.35379	−	2.06447i	0.385966	−	0.125408i	0.495571	+	0.868567i	$0.334959\pi$
$272$	−10.7422	+	15.2978i	−0.651344	+	0.927565i
$273$	−8.47975	−	10.5219i	−0.513218	−	0.636817i
$274$	2.47602	−	1.53106i	0.149582	−	0.0924946i
$275$	14.2092	+	13.2863i	0.856846	+	0.801194i
$276$	−15.4629	+	17.3718i	−0.930758	+	1.04566i
$277$	5.52008	−	7.59774i	0.331670	−	0.456504i	−0.610316	−	0.792158i	$-0.708957\pi$
$277$	5.52008	−	7.59774i	0.331670	−	0.456504i	0.941985	+	0.335654i	$0.108957\pi$
$278$	12.1177	−	14.3042i	0.726769	−	0.857911i
$279$	−19.5694	−	4.25557i	−1.17159	−	0.254774i
$280$	−10.4063	−	3.05218i	−0.621897	−	0.182403i
$281$	−1.77411	−	0.576444i	−0.105835	−	0.0343878i	0.255621	−	0.966777i	$-0.417720\pi$
$281$	−1.77411	−	0.576444i	−0.105835	−	0.0343878i	−0.361456	+	0.932389i	$0.617720\pi$
$282$	14.1961	−	4.23110i	0.845366	−	0.251959i
$283$	−4.54531	+	13.9890i	−0.270190	+	0.831560i	0.720262	+	0.693703i	$0.244022\pi$
$283$	−4.54531	+	13.9890i	−0.270190	+	0.831560i	−0.990452	+	0.137858i	$0.955978\pi$
$284$	−3.80243	−	22.8165i	−0.225633	−	1.35391i
$285$	−10.6378	−	3.59514i	−0.630132	−	0.212958i
$286$	1.86373	−	24.9662i	0.110205	−	1.47628i
$287$	6.43511	+	8.85717i	0.379853	+	0.522822i
$288$	16.3442	+	4.56789i	0.963094	+	0.269166i
$289$	−3.91454	−	2.84408i	−0.230267	−	0.167299i
$290$	−24.4189	+	4.39012i	−1.43392	+	0.257797i
$291$	−14.8817	+	5.67257i	−0.872380	+	0.332532i
$292$	10.3236	−	10.4913i	0.604143	−	0.613956i
$293$	24.5307			1.43310			0.716548	−	0.697537i	$-0.245721\pi$
$293$	24.5307			1.43310			0.716548	+	0.697537i	$0.245721\pi$
$294$	9.94148	+	0.243569i	0.579799	+	0.0142052i
$295$	−6.10016	+	3.88043i	−0.355165	+	0.225927i
$296$	−6.53367	−	15.2498i	−0.379762	−	0.886378i
$297$	−17.9479	−	9.30443i	−1.04144	−	0.539898i
$298$	−1.99419	+	26.7138i	−0.115520	+	1.54749i
$299$	−30.5481			−1.76664
$300$	−16.8934	−	3.82268i	−0.975341	−	0.220702i
$301$	4.54280			0.261842
$302$	1.04990	−	14.0642i	0.0604148	−	0.809307i
$303$	−1.42174	−	28.4018i	−0.0816771	−	1.63164i
$304$	9.49092	+	6.66461i	0.544342	+	0.382242i
$305$	11.0924	+	9.15651i	0.635150	+	0.524300i
$306$	−5.64359	+	19.0065i	−0.322623	+	1.08653i
$307$	32.3661			1.84723			0.923615	−	0.383322i	$-0.125220\pi$
$307$	32.3661			1.84723			0.923615	+	0.383322i	$0.125220\pi$
$308$	−9.51030	−	9.35829i	−0.541900	−	0.533238i
$309$	−1.23796	−	3.24773i	−0.0704251	−	0.184757i
$310$	−19.0045	−	9.19043i	−1.07939	−	0.521981i
$311$	−2.77894	−	2.01902i	−0.157579	−	0.114488i	0.506201	−	0.862415i	$-0.331049\pi$
$311$	−2.77894	−	2.01902i	−0.157579	−	0.114488i	−0.663781	+	0.747927i	$0.731049\pi$
$312$	9.79201	+	20.0250i	0.554363	+	1.13370i
$313$	4.48646	+	6.17508i	0.253590	+	0.349036i	0.916764	−	0.399428i	$-0.130791\pi$
$313$	4.48646	+	6.17508i	0.253590	+	0.349036i	−0.663175	+	0.748465i	$0.730791\pi$
$314$	−2.17746	+	29.1689i	−0.122881	+	1.64610i
$315$	−11.4941	+	0.440090i	−0.647620	+	0.0247962i
$316$	7.55354	−	1.25882i	0.424920	−	0.0708142i
$317$	−5.92659	+	18.2402i	−0.332870	+	1.02447i	0.634891	+	0.772601i	$0.281045\pi$
$317$	−5.92659	+	18.2402i	−0.332870	+	1.02447i	−0.967762	+	0.251868i	$0.918955\pi$
$318$	−0.305417	−	1.02473i	−0.0171269	−	0.0574639i
$319$	−29.0309	−	9.43270i	−1.62542	−	0.528130i
$320$	15.6223	+	8.71459i	0.873313	+	0.487160i
$321$	−1.39900	−	27.9474i	−0.0780845	−	1.55987i
$322$	−10.5233	+	12.4222i	−0.586440	+	0.692260i
$323$	−7.96387	+	10.9613i	−0.443121	+	0.609904i
$324$	17.9766	−	0.918364i	0.998698	−	0.0510202i
$325$	−11.0028	−	19.9130i	−0.610323	−	1.10458i
$326$	1.70905	−	1.05680i	0.0946554	−	0.0585306i
$327$	−4.86160	+	3.91802i	−0.268847	+	0.216667i
$328$	−7.11199	−	16.5997i	−0.392694	−	0.916563i
$329$	9.86207	−	3.20438i	0.543714	−	0.176663i
$330$	−16.0969	−	13.9643i	−0.886103	−	0.768712i
$331$	−32.9843	−	10.7173i	−1.81298	−	0.589074i	−0.999977	−	0.00681739i	$-0.997830\pi$
$331$	−32.9843	−	10.7173i	−1.81298	−	0.589074i	−0.813005	−	0.582256i	$-0.802170\pi$
$332$	−7.92180	−	3.95630i	−0.434765	−	0.217130i
$333$	−11.7132	−	13.1321i	−0.641881	−	0.719635i
$334$	−4.85450	−	1.98793i	−0.265626	−	0.108775i
$335$	−4.67145	+	11.8357i	−0.255228	+	0.646651i
$336$	11.5162	+	2.91644i	0.628262	+	0.159105i
$337$	4.45334	+	6.12949i	0.242589	+	0.333895i	0.912898	−	0.408187i	$-0.133839\pi$
$337$	4.45334	+	6.12949i	0.242589	+	0.333895i	−0.670310	+	0.742081i	$0.733839\pi$
$338$	−4.12857	+	10.0819i	−0.224565	+	0.548385i
$339$	2.20771	−	1.77921i	0.119906	−	0.0966337i
$340$	−10.4739	+	18.0851i	−0.568029	+	0.980800i
$341$	−15.2662	−	21.0121i	−0.826709	−	1.13787i
$342$	11.7918	+	3.50135i	0.637629	+	0.189331i
$343$	18.9642			1.02397
$344$	−7.30699	−	1.66113i	−0.393966	−	0.0895623i
$345$	−15.5296	+	20.8551i	−0.836088	+	1.12280i
$346$	−4.74767	−	4.02194i	−0.255236	−	0.216221i
$347$	−3.68048	+	1.19586i	−0.197579	+	0.0641972i	−0.406135	−	0.913813i	$-0.633124\pi$
$347$	−3.68048	+	1.19586i	−0.197579	+	0.0641972i	0.208556	+	0.978010i	$0.433124\pi$
$348$	26.5518	−	5.80247i	1.42332	−	0.311045i
$349$	3.21314			0.171996			0.0859978	−	0.996295i	$-0.472592\pi$
$349$	3.21314			0.171996			0.0859978	+	0.996295i	$0.472592\pi$
$350$	−11.8878	−	2.38551i	−0.635428	−	0.127511i
$351$	16.6003	+	16.8353i	0.886057	+	0.898603i
$352$	11.8751	+	18.5302i	0.632946	+	0.987662i
$353$	−2.76172	−	8.49969i	−0.146991	−	0.452393i	0.850270	−	0.526346i	$-0.176438\pi$
$353$	−2.76172	−	8.49969i	−0.146991	−	0.452393i	−0.997262	+	0.0739533i	$0.976438\pi$
$354$	6.51937	−	4.49682i	0.346500	−	0.239004i
$355$	−6.45822	−	25.0420i	−0.342767	−	1.32909i
$356$	5.87562	−	5.97106i	0.311407	−	0.316465i
$357$	−3.62358	+	13.3977i	−0.191780	+	0.709082i
$358$	6.39763	+	26.1830i	0.338125	+	1.38382i
$359$	−3.56093	+	2.58717i	−0.187939	+	0.136545i	−0.677776	−	0.735268i	$-0.737056\pi$
$359$	−3.56093	+	2.58717i	−0.187939	+	0.136545i	0.489837	+	0.871814i	$0.337056\pi$
$360$	18.6490	+	3.49511i	0.982887	+	0.184208i
$361$	−8.57079	−	6.22704i	−0.451094	−	0.327739i
$362$	4.80402	−	11.7314i	0.252494	−	0.616587i
$363$	−2.55224	−	6.69567i	−0.133958	−	0.351432i
$364$	7.19591	+	13.8459i	0.377168	+	0.725722i
$365$	10.4760	−	12.6909i	0.548338	−	0.664271i
$366$	−12.5164	−	9.57074i	−0.654245	−	0.500271i
$367$	−9.36488	+	28.8221i	−0.488843	+	1.50450i	0.337494	+	0.941328i	$0.390421\pi$
$367$	−9.36488	+	28.8221i	−0.488843	+	1.50450i	−0.826337	+	0.563176i	$0.809579\pi$
$368$	21.4688	−	16.1328i	1.11914	−	0.840980i
$369$	−12.7500	−	14.2945i	−0.663739	−	0.744141i
$370$	−8.76296	−	16.3483i	−0.455565	−	0.849910i
$371$	−0.231304	−	0.711881i	−0.0120087	−	0.0369590i
$372$	21.1791	+	9.28494i	1.09808	+	0.481402i
$373$	6.74381	−	9.28206i	0.349181	−	0.480607i	−0.597913	−	0.801561i	$-0.704003\pi$
$373$	6.74381	−	9.28206i	0.349181	−	0.480607i	0.947095	+	0.320954i	$0.104003\pi$
$374$	−21.8694	+	13.5231i	−1.13084	+	0.699262i
$375$	−19.1880	−	2.61159i	−0.990864	−	0.134862i
$376$	−17.0347	+	1.54798i	−0.878495	+	0.0798310i
$377$	28.8811	+	20.9833i	1.48745	+	1.08070i
$378$	12.5645	−	0.950902i	0.646247	−	0.0489091i
$379$	25.6314	−	8.32816i	1.31660	−	0.427789i	0.435273	−	0.900299i	$-0.356652\pi$
$379$	25.6314	−	8.32816i	1.31660	−	0.427789i	0.881325	+	0.472510i	$0.156652\pi$
$380$	11.2202	+	6.49815i	0.575583	+	0.333348i
$381$	−6.21131	−	4.05440i	−0.318215	−	0.207713i
$382$	22.9354	−	14.1822i	1.17348	−	0.725625i
$383$	9.80485	+	3.18579i	0.501004	+	0.162786i	0.548607	−	0.836080i	$-0.315158\pi$
$383$	9.80485	+	3.18579i	0.501004	+	0.162786i	−0.0476029	+	0.998866i	$0.515158\pi$
$384$	−17.4572	−	8.90209i	−0.890858	−	0.454283i
$385$	−11.5042	−	9.49643i	−0.586309	−	0.483983i
$386$	−0.824451	+	11.0442i	−0.0419635	+	0.562135i
$387$	−7.90825	+	0.793736i	−0.401999	+	0.0403479i
$388$	18.1398	−	3.02305i	0.920908	−	0.153472i
$389$	3.00172	−	4.13151i	0.152193	−	0.209476i	−0.726112	−	0.687577i	$-0.758675\pi$
$389$	3.00172	−	4.13151i	0.152193	−	0.209476i	0.878305	+	0.478101i	$0.158675\pi$
$390$	12.8573	+	21.3494i	0.651055	+	1.08107i
$391$	18.4413	+	25.3823i	0.932618	+	1.28364i
$392$	−11.1972	−	2.54551i	−0.565543	−	0.128568i
$393$	−4.13869	+	15.3023i	−0.208769	+	0.771898i
$394$	−6.12939	−	25.0852i	−0.308794	−	1.26377i
$395$	8.29033	−	2.13804i	0.417132	−	0.107576i
$396$	18.1910	+	14.6295i	0.914130	+	0.735162i
$397$	13.9797	−	4.54229i	0.701622	−	0.227971i	0.0635851	−	0.997976i	$-0.479747\pi$
$397$	13.9797	−	4.54229i	0.701622	−	0.227971i	0.638037	+	0.770006i	$0.279747\pi$
$398$	0.962450	−	12.8928i	0.0482433	−	0.646258i
$399$	8.31210	+	2.24811i	0.416125	+	0.112546i
$400$	18.2489	+	8.18396i	0.912446	+	0.409198i
$401$			2.64584i			0.132127i	0.997815	+	0.0660636i	$0.0210440\pi$
$401$			2.64584i			0.132127i	−0.997815	+	0.0660636i	$0.978956\pi$
$402$	4.63068	−	13.1470i	0.230957	−	0.655711i
$403$	9.38632	+	28.8881i	0.467566	+	1.43902i
$404$	−4.87535	+	32.4727i	−0.242558	+	1.61558i
$405$	19.9325	−	2.77442i	0.990451	−	0.137862i
$406$	18.4818	−	4.51589i	0.917235	−	0.224120i
$407$		−	22.8211i		−	1.13120i
$408$	10.7275	−	20.2249i	0.531091	−	1.00128i
$409$	14.9357	−	10.8514i	0.738522	−	0.536568i	−0.153726	−	0.988114i	$-0.549127\pi$
$409$	14.9357	−	10.8514i	0.738522	−	0.536568i	0.892248	+	0.451546i	$0.149127\pi$
$410$	−9.53861	−	17.7954i	−0.471078	−	0.878852i
$411$	−2.77610	+	2.23729i	−0.136935	+	0.110357i
$412$	0.659739	+	3.95876i	0.0325030	+	0.195034i
$413$	4.48523	−	3.25871i	0.220704	−	0.160351i
$414$	16.1488	−	23.4636i	0.793672	−	1.15317i
$415$	−9.20863	−	3.63458i	−0.452034	−	0.178415i
$416$	−6.51154	−	24.9021i	−0.319254	−	1.22093i
$417$	−12.5501	+	19.2267i	−0.614583	+	0.941537i
$418$	8.38987	+	13.5680i	0.410362	+	0.663635i
$419$	8.75744	−	26.9526i	0.427829	−	1.31672i	−0.472431	−	0.881368i	$-0.656623\pi$
$419$	8.75744	−	26.9526i	0.427829	−	1.31672i	0.900259	−	0.435354i	$-0.143377\pi$
$420$	13.1107	+	2.12617i	0.639737	+	0.103747i
$421$	8.14212	+	25.0589i	0.396823	+	1.22130i	0.927533	+	0.373742i	$0.121925\pi$
$421$	8.14212	+	25.0589i	0.396823	+	1.22130i	−0.530710	+	0.847553i	$0.678075\pi$
$422$	−9.67109	+	11.4162i	−0.470781	+	0.555731i
$423$	−16.6083	+	7.30143i	−0.807525	+	0.355008i
$424$	0.111739	+	1.22963i	0.00542652	+	0.0597159i
$425$	−9.90353	+	21.1633i	−0.480392	+	1.02657i
$426$	8.09183	+	27.1495i	0.392050	+	1.31540i
$427$	−8.92326	−	6.48313i	−0.431827	−	0.313740i
$428$	−4.79734	+	31.9531i	−0.231888	+	1.54451i
$429$	1.53298	+	30.6239i	0.0740131	+	1.47854i
$430$	−8.30023	−	1.13817i	−0.400273	−	0.0548876i
$431$	−3.32255	+	10.2258i	−0.160042	+	0.492558i	−0.998637	−	0.0521977i	$-0.983377\pi$
$431$	−3.32255	+	10.2258i	−0.160042	+	0.492558i	0.838595	+	0.544755i	$0.183377\pi$
$432$	−20.5574	−	3.06486i	−0.989068	−	0.147458i
$433$	9.98008	+	3.24273i	0.479612	+	0.155835i	0.538838	−	0.842409i	$-0.318863\pi$
$433$	9.98008	+	3.24273i	0.479612	+	0.155835i	−0.0592263	+	0.998245i	$0.518863\pi$
$434$	14.9806	+	6.13459i	0.719091	+	0.294470i
$435$	29.0074	−	9.04978i	1.39080	−	0.433904i
$436$	6.39741	−	3.32483i	0.306380	−	0.159230i
$437$	15.7475	−	11.4412i	0.753304	−	0.547308i
$438$	−10.9499	+	14.3201i	−0.523207	+	0.684240i
$439$	−11.4481	+	15.7569i	−0.546387	+	0.752038i	−0.989516	−	0.144420i	$-0.953868\pi$
$439$	−11.4481	+	15.7569i	−0.546387	+	0.752038i	0.443129	+	0.896458i	$0.353868\pi$
$440$	15.0318	+	19.4815i	0.716612	+	0.928743i
$441$	−12.1185	+	1.21632i	−0.577073	+	0.0579198i
$442$	29.2118	−	7.13770i	1.38946	−	0.339506i
$443$		−	7.92770i		−	0.376656i	−0.982106	−	0.188328i	$-0.939693\pi$
$443$		−	7.92770i		−	0.376656i	0.982106	−	0.188328i	$-0.0603068\pi$
$444$	10.2599	+	17.5386i	0.486916	+	0.832345i
$445$	5.96235	−	7.22294i	0.282643	−	0.342400i
$446$	−14.3304	−	12.1398i	−0.678562	−	0.574836i
$447$	−1.64029	−	32.7676i	−0.0775830	−	1.54985i
$448$	−12.3694	−	5.93048i	−0.584398	−	0.280189i
$449$		−	9.06424i		−	0.427768i	−0.976859	−	0.213884i	$-0.931389\pi$
$449$		−	9.06424i		−	0.427768i	0.976859	−	0.213884i	$-0.0686114\pi$
$450$	21.1114	+	2.07569i	0.995201	+	0.0978491i
$451$		−	24.8411i		−	1.16972i
$452$	−2.90513	+	1.50984i	−0.136646	+	0.0710169i
$453$	0.863578	+	17.2514i	0.0405744	+	0.810544i
$454$	−17.2951	+	20.4159i	−0.811700	+	0.958166i
$455$	9.36376	+	14.7201i	0.438980	+	0.690091i
$456$	−12.5478	−	6.65547i	−0.587604	−	0.311671i
$457$			23.6543i			1.10650i	0.833015	+	0.553251i	$0.186613\pi$
$457$			23.6543i			1.10650i	−0.833015	+	0.553251i	$0.813387\pi$
$458$	−7.31833	−	29.9511i	−0.341963	−	1.39952i
$459$	3.96714	−	23.9563i	0.185170	−	1.11818i
$460$	22.3396	−	20.0602i	1.04159	−	0.935313i
$461$	−14.4059	+	19.8280i	−0.670948	+	0.923481i	−0.999781	−	0.0209074i	$-0.993344\pi$
$461$	−14.4059	+	19.8280i	−0.670948	+	0.923481i	0.328834	+	0.944388i	$0.393344\pi$
$462$	12.9811	+	9.92604i	0.603935	+	0.461801i
$463$	25.6661	−	18.6475i	1.19281	−	0.866624i	0.199247	−	0.979949i	$-0.436150\pi$
$463$	25.6661	−	18.6475i	1.19281	−	0.866624i	0.993558	+	0.113326i	$0.0361503\pi$
$464$	−31.3788	+	0.505605i	−1.45673	+	0.0234721i
$465$	24.4935	+	8.27777i	1.13586	+	0.383872i
$466$	6.43707	−	15.7192i	0.298191	−	0.728180i
$467$	25.1181	+	8.16136i	1.16233	+	0.377663i	0.825774	−	0.564002i	$-0.190739\pi$
$467$	25.1181	+	8.16136i	1.16233	+	0.377663i	0.336553	+	0.941665i	$0.390739\pi$
$468$	−14.9461	−	22.8461i	−0.690883	−	1.05606i
$469$	3.01519	−	9.27981i	0.139229	−	0.428502i
$470$	−18.8220	+	3.38390i	−0.868195	+	0.156088i
$471$	−1.79104	−	35.7791i	−0.0825267	−	1.64861i
$472$	−8.40599	+	3.60148i	−0.386917	+	0.165772i
$473$	−8.33900	−	6.05864i	−0.383428	−	0.278577i
$474$	−8.98803	+	2.67885i	−0.412834	+	0.123044i
$475$	13.1300	+	6.14426i	0.602444	+	0.281918i
$476$	7.16047	−	14.3376i	0.328200	−	0.657162i
$477$	0.527045	+	1.19885i	0.0241317	+	0.0548916i
$478$	14.3809	+	12.1826i	0.657768	+	0.557221i
$479$	−0.407995	−	1.25568i	−0.0186418	−	0.0573735i	0.941303	−	0.337563i	$-0.109603\pi$
$479$	−0.407995	−	1.25568i	−0.0186418	−	0.0573735i	−0.959945	+	0.280190i	$0.909603\pi$
$480$	−20.3108	−	8.21401i	−0.927059	−	0.374916i
$481$	−8.24747	+	25.3831i	−0.376052	+	1.15737i
$482$	−34.4804	+	21.3211i	−1.57054	+	0.971150i
$483$	10.8989	−	16.6970i	0.495915	−	0.759739i
$484$	1.36015	+	8.16157i	0.0618250	+	0.370981i
$485$	19.9092	−	5.13448i	0.904029	−	0.233145i
$486$	−21.7065	+	3.85068i	−0.984627	+	0.174670i
$487$	8.41982	−	6.11735i	0.381538	−	0.277204i	−0.380441	−	0.924805i	$-0.624228\pi$
$487$	8.41982	−	6.11735i	0.381538	−	0.277204i	0.761979	+	0.647601i	$0.224228\pi$
$488$	11.9822	+	13.6909i	0.542410	+	0.619757i
$489$	−1.91618	+	1.54427i	−0.0866525	+	0.0698343i
$490$	−12.7192	−	1.74413i	−0.574596	−	0.0787917i
$491$	−34.4436	+	25.0247i	−1.55442	+	1.12935i	−0.614011	+	0.789298i	$0.710445\pi$
$491$	−34.4436	+	25.0247i	−1.55442	+	1.12935i	−0.940406	+	0.340052i	$0.889555\pi$
$492$	11.1681	+	19.0910i	0.503497	+	0.860690i
$493$		−	36.6645i		−	1.65129i
$494$	−4.42831	−	18.1233i	−0.199239	−	0.815408i
$495$	21.6862	+	14.5216i	0.974721	+	0.652699i
$496$	−21.8528	−	15.3452i	−0.981218	−	0.689020i
$497$	6.12826	+	18.8608i	0.274890	+	0.846024i
$498$	10.2289	+	3.60286i	0.458368	+	0.161448i
$499$			8.19287i			0.366763i	0.983042	+	0.183382i	$0.0587044\pi$
$499$			8.19287i			0.366763i	−0.983042	+	0.183382i	$0.941296\pi$
$500$	21.1227	+	7.33703i	0.944635	+	0.328122i
$501$	6.20189	+	1.67738i	0.277080	+	0.0749397i
$502$	3.92151	+	0.292742i	0.175026	+	0.0130657i
$503$	−16.5943	+	5.39181i	−0.739902	+	0.240409i	−0.654631	−	0.755949i	$-0.727176\pi$
$503$	−16.5943	+	5.39181i	−0.739902	+	0.240409i	−0.0852717	+	0.996358i	$0.527176\pi$
$504$	−14.4389	−	1.79236i	−0.643159	−	0.0798381i
$505$	−2.26605	+	36.6424i	−0.100838	+	1.63057i
$506$	35.8843	−	8.76808i	1.59525	−	0.389789i
$507$	3.48361	−	12.8802i	0.154713	−	0.572031i
$508$	6.10491	+	6.00734i	0.270862	+	0.266532i
$509$	−15.0814	−	20.7578i	−0.668472	−	0.920073i	0.331253	−	0.943542i	$-0.392529\pi$
$509$	−15.0814	−	20.7578i	−0.668472	−	0.920073i	−0.999725	+	0.0234694i	$0.992529\pi$
$510$	9.97744	−	23.5714i	0.441808	−	1.04376i
$511$	−7.41736	+	10.2091i	−0.328125	+	0.451625i
$512$	17.7273	+	14.0621i	0.783444	+	0.621462i
$513$	−14.8628	−	2.46126i	−0.656207	−	0.108667i
$514$	1.74137	+	0.129994i	0.0768086	+	0.00573377i
$515$	1.12053	+	4.34490i	0.0493765	+	0.191459i
$516$	9.13259	+	0.907159i	0.402040	+	0.0399355i
$517$	−22.3770	−	7.27072i	−0.984138	−	0.319766i
$518$	7.48075	+	12.0978i	0.328685	+	0.531548i
$519$	6.38148	+	4.16548i	0.280116	+	0.182844i
$520$	−9.67878	−	27.1010i	−0.424443	−	1.18846i
$521$	29.5575	−	9.60380i	1.29494	−	0.420750i	0.421119	−	0.907005i	$-0.361637\pi$
$521$	29.5575	−	9.60380i	1.29494	−	0.420750i	0.873817	+	0.486255i	$0.161637\pi$
$522$	−31.3846	+	11.0906i	−1.37367	+	0.485423i
$523$	10.9969	+	7.98970i	0.480860	+	0.349365i	0.801658	−	0.597782i	$-0.203951\pi$
$523$	10.9969	+	7.98970i	0.480860	+	0.349365i	−0.320799	+	0.947147i	$0.603951\pi$
$524$	8.17837	−	16.3758i	0.357274	−	0.715378i
$525$	14.8096	+	1.09063i	0.646345	+	0.0475990i
$526$	2.28448	+	3.69444i	0.0996078	+	0.161085i
$527$	18.3367	−	25.2383i	0.798760	−	1.09940i
$528$	−17.2502	−	20.7125i	−0.750719	−	0.901398i
$529$	−6.82111	−	20.9932i	−0.296570	−	0.912748i
$530$	0.244263	+	1.35864i	0.0106101	+	0.0590158i
$531$	−7.23867	+	6.45655i	−0.314131	+	0.280191i
$532$	−8.89521	−	4.44244i	−0.385656	−	0.192604i
$533$	−8.97749	+	27.6299i	−0.388858	+	1.19678i
$534$	−6.23209	+	8.15020i	−0.269689	+	0.352694i
$535$	−2.22980	+	36.0562i	−0.0964025	+	1.55885i
$536$	−8.24316	+	13.8238i	−0.356050	+	0.597099i
$537$	−11.7578	−	30.8460i	−0.507386	−	1.33110i
$538$	−25.1664	−	10.3057i	−1.08500	−	0.444310i
$539$	−12.7786	−	9.28422i	−0.550414	−	0.399900i
$540$	−23.1951	−	1.41055i	−0.998156	−	0.0607004i
$541$	−20.1317	+	14.6265i	−0.865528	+	0.628843i	−0.929383	−	0.369116i	$-0.879661\pi$
$541$	−20.1317	+	14.6265i	−0.865528	+	0.628843i	0.0638549	+	0.997959i	$0.479661\pi$
$542$	9.17803	−	2.24259i	0.394230	−	0.0963274i
$543$	−4.05354	+	14.9875i	−0.173954	+	0.643174i
$544$	−16.7602	+	20.4434i	−0.718588	+	0.876503i
$545$	6.80135	−	4.32647i	0.291338	−	0.185325i
$546$	−10.8512	−	15.7317i	−0.464387	−	0.673255i
$547$	−14.1711	−	43.6142i	−0.605913	−	1.86481i	−0.490388	−	0.871504i	$-0.663145\pi$
$547$	−14.1711	−	43.6142i	−0.605913	−	1.86481i	−0.115525	−	0.993305i	$-0.536855\pi$
$548$	3.65309	−	1.89856i	0.156052	−	0.0811027i
$549$	16.6667	+	9.72693i	0.711315	+	0.415135i
$550$	18.6403	+	20.2334i	0.794825	+	0.862757i
$551$	−22.7471			−0.969058
$552$	−23.6361	+	22.8714i	−1.00602	+	0.973473i
$553$	−6.24401	+	2.02880i	−0.265522	+	0.0862734i
$554$	8.58479	−	10.1339i	0.364733	−	0.430547i
$555$	13.1362	+	18.5345i	0.557602	+	0.786744i
$556$	18.5953	−	18.8974i	0.788618	−	0.801427i
$557$	1.64373			0.0696470			0.0348235	−	0.999393i	$-0.488913\pi$
$557$	1.64373			0.0696470			0.0348235	+	0.999393i	$0.488913\pi$
$558$	−27.1506	−	8.06182i	−1.14937	−	0.341284i
$559$	7.08561	+	9.75250i	0.299689	+	0.412487i
$560$	−14.3546	−	5.40003i	−0.606593	−	0.228193i
$561$	24.5199	−	19.7609i	1.03523	−	0.834305i
$562$	−2.44133	−	0.999729i	−0.102981	−	0.0421710i
$563$	22.6269	+	31.1432i	0.953609	+	1.31253i	0.949906	+	0.312536i	$0.101179\pi$
$563$	22.6269	+	31.1432i	0.953609	+	1.31253i	0.00370279	+	0.999993i	$0.498821\pi$
$564$	20.4661	−	4.47254i	0.861777	−	0.188328i
$565$	−3.08857	+	1.96470i	−0.129937	+	0.0826554i
$566$	−7.88294	+	19.2500i	−0.331345	+	0.809139i
$567$	−15.1245	+	3.06692i	−0.635168	+	0.128799i
$568$	−2.96045	−	32.5781i	−0.124218	−	1.36695i
$569$	23.3776	+	7.59583i	0.980038	+	0.318434i	0.754862	−	0.655884i	$-0.227704\pi$
$569$	23.3776	+	7.59583i	0.980038	+	0.318434i	0.225177	+	0.974318i	$0.427704\pi$
$570$	−14.6240	−	6.19012i	−0.612530	−	0.259276i
$571$	0.818132	−	0.265827i	0.0342377	−	0.0111245i	−0.291848	−	0.956465i	$-0.594270\pi$
$571$	0.818132	−	0.265827i	0.0342377	−	0.0111245i	0.326086	+	0.945340i	$0.394270\pi$
$572$	5.25679	−	35.0133i	0.219797	−	1.46398i
$573$	−25.7151	+	20.7241i	−1.07426	+	0.865760i
$574$	8.14290	+	13.1687i	0.339878	+	0.549649i
$575$	22.9268	−	24.5194i	0.956115	−	1.02253i
$576$	22.5692	+	8.16274i	0.940384	+	0.340114i
$577$	−3.71496	+	5.11320i	−0.154656	+	0.212865i	−0.879313	−	0.476244i	$-0.841998\pi$
$577$	−3.71496	+	5.11320i	−0.154656	+	0.212865i	0.724658	+	0.689109i	$0.241998\pi$
$578$	−5.22121	−	4.42309i	−0.217174	−	0.183976i
$579$	−0.678140	−	13.5470i	−0.0281826	−	0.562994i
$580$	−34.8998	+	3.62057i	−1.44914	+	0.150336i
$581$	7.22008	+	2.34595i	0.299540	+	0.0973263i
$582$	−21.5847	+	6.43325i	−0.894715	+	0.266667i
$583$	−0.524828	+	1.61525i	−0.0217361	+	0.0668970i
$584$	15.6638	−	13.7089i	0.648171	−	0.567278i
$585$	−18.8727	−	23.9892i	−0.780290	−	0.991832i
$586$	34.5953	+	2.58255i	1.42912	+	0.106684i
$587$	−11.8333	−	16.2871i	−0.488411	−	0.672240i	0.491683	−	0.870774i	$-0.336382\pi$
$587$	−11.8333	−	16.2871i	−0.488411	−	0.672240i	−0.980094	+	0.198534i	$0.936382\pi$
$588$	13.9947	+	1.39012i	0.577133	+	0.0573278i
$589$	−15.6582	−	11.3763i	−0.645183	−	0.468753i
$590$	−9.01151	+	4.83031i	−0.370998	+	0.198861i
$591$	11.2648	+	29.5527i	0.463373	+	1.21563i
$592$	−7.60889	−	22.1945i	−0.312724	−	0.912190i
$593$	−28.7072			−1.17886			−0.589431	−	0.807819i	$-0.700648\pi$
$593$	−28.7072			−1.17886			−0.589431	+	0.807819i	$0.700648\pi$
$594$	−24.3322	−	15.0115i	−0.998363	−	0.615928i
$595$	6.57819	−	16.6666i	0.269680	−	0.683265i
$596$	−5.62476	+	37.4642i	−0.230399	+	1.53459i
$597$	0.791649	+	15.8145i	0.0324000	+	0.647246i
$598$	−43.0816	−	3.21605i	−1.76174	−	0.131514i
$599$	−21.4526			−0.876531			−0.438265	−	0.898846i	$-0.644407\pi$
$599$	−21.4526			−0.876531			−0.438265	+	0.898846i	$0.644407\pi$
$600$	−23.4221	−	7.16959i	−0.956205	−	0.292697i
$601$	33.5230			1.36743			0.683717	−	0.729747i	$-0.260362\pi$
$601$	33.5230			1.36743			0.683717	+	0.729747i	$0.260362\pi$
$602$	6.40666	+	0.478258i	0.261116	+	0.0194923i
$603$	−3.62754	+	16.6814i	−0.147725	+	0.679320i
$604$	2.96132	−	19.7241i	0.120494	−	0.802563i
$605$	2.31014	+	8.95767i	0.0939206	+	0.364181i
$606$	0.985018	−	40.2044i	0.0400136	−	1.63319i
$607$	47.6566			1.93432			0.967161	−	0.254163i	$-0.0817999\pi$
$607$	47.6566			1.93432			0.967161	+	0.254163i	$0.0817999\pi$
$608$	12.6833	+	10.3982i	0.514376	+	0.421704i
$609$	−21.7732	+	8.29946i	−0.882295	+	0.336311i
$610$	14.6795	+	14.0811i	0.594358	+	0.570128i
$611$	22.2615	+	16.1739i	0.900604	+	0.654327i
$612$	−9.96006	+	26.2105i	−0.402612	+	1.05949i
$613$	−5.00125	−	6.88363i	−0.201999	−	0.278027i	0.695985	−	0.718056i	$-0.254968\pi$
$613$	−5.00125	−	6.88363i	−0.201999	−	0.278027i	−0.897983	+	0.440029i	$0.854968\pi$
$614$	45.6455	+	3.40745i	1.84210	+	0.137513i
$615$	14.2990	+	20.1750i	0.576590	+	0.813535i
$616$	−12.4270	−	14.1991i	−0.500700	−	0.572099i
$617$	10.3438	−	31.8349i	0.416425	−	1.28163i	−0.494544	−	0.869152i	$-0.664665\pi$
$617$	10.3438	−	31.8349i	0.416425	−	1.28163i	0.910970	−	0.412473i	$-0.135335\pi$
$618$	−1.40397	−	4.71056i	−0.0564759	−	0.189487i
$619$	46.0728	+	14.9700i	1.85182	+	0.601693i	0.996500	+	0.0835952i	$0.0266403\pi$
$619$	46.0728	+	14.9700i	1.85182	+	0.601693i	0.855321	+	0.518098i	$0.173360\pi$
$620$	−25.8343	−	14.9619i	−1.03753	−	0.600886i
$621$	−16.0557	+	30.9710i	−0.644294	+	1.24282i
$622$	−3.70656	−	3.13997i	−0.148619	−	0.125901i
$623$	−4.22155	+	5.81047i	−0.169133	+	0.232791i
$624$	11.7014	+	29.2720i	0.468430	+	1.17182i
$625$	24.2409	+	6.11372i	0.969637	+	0.244549i
$626$	5.67710	+	9.18098i	0.226903	+	0.366946i
$627$	−12.2599	−	15.2124i	−0.489612	−	0.607526i
$628$	−6.14170	+	40.9073i	−0.245081	+	1.63238i
$629$	26.0696	−	8.47053i	1.03946	−	0.337742i
$630$	−16.2564	−	0.589428i	−0.647669	−	0.0234834i
$631$	4.13279	+	1.34282i	0.164524	+	0.0534570i	0.390121	−	0.920764i	$-0.372433\pi$
$631$	4.13279	+	1.34282i	0.164524	+	0.0534570i	−0.225597	+	0.974221i	$0.572433\pi$
$632$	10.7852	−	0.980078i	0.429013	−	0.0389854i
$633$	10.0162	−	15.3448i	0.398110	−	0.609902i
$634$	−10.2785	+	25.1000i	−0.408211	+	0.996847i
$635$	7.38486	+	6.09601i	0.293059	+	0.241913i
$636$	−0.322845	−	1.47732i	−0.0128016	−	0.0585794i
$637$	10.8579	+	14.9447i	0.430207	+	0.592129i
$638$	−39.9489	−	16.3592i	−1.58159	−	0.647666i
$639$	−13.9637	−	31.7628i	−0.552396	−	1.25652i
$640$	21.1145	+	13.9348i	0.834624	+	0.550821i
$641$	−17.7570	−	24.4404i	−0.701360	−	0.965339i	−0.999940	−	0.0109543i	$-0.996513\pi$
$641$	−17.7570	−	24.4404i	−0.701360	−	0.965339i	0.298580	−	0.954385i	$-0.403487\pi$
$642$	0.969259	−	39.5612i	0.0382536	−	1.56135i
$643$	22.6274			0.892338			0.446169	−	0.894949i	$-0.352788\pi$
$643$	22.6274			0.892338			0.446169	+	0.894949i	$0.352788\pi$
$644$	−16.1487	+	16.4110i	−0.636347	+	0.646683i
$645$	10.2601	+	0.120531i	0.403991	+	0.00474590i
$646$	−12.3853	+	14.6202i	−0.487295	+	0.575225i
$647$	−22.6493	+	7.35921i	−0.890437	+	0.289320i	−0.718284	−	0.695750i	$-0.755072\pi$
$647$	−22.6493	+	7.35921i	−0.890437	+	0.289320i	−0.172153	+	0.985070i	$0.555072\pi$
$648$	25.4488	+	0.597382i	0.999725	+	0.0234674i
$649$	−12.5794			−0.493785
$650$	−13.4207	−	29.2415i	−0.526401	−	1.14695i
$651$	−19.1385	−	5.17625i	−0.750098	−	0.202873i
$652$	2.52151	−	1.31047i	0.0987500	−	0.0513218i
$653$	2.82514	+	8.69488i	0.110556	+	0.340257i	0.990994	−	0.133904i	$-0.0427514\pi$
$653$	2.82514	+	8.69488i	0.110556	+	0.340257i	−0.880438	+	0.474161i	$0.842751\pi$
$654$	−7.26874	+	5.01372i	−0.284230	+	0.196052i
$655$	7.51332	−	19.0359i	0.293570	−	0.743793i
$656$	−8.28239	−	24.1591i	−0.323373	−	0.943253i
$657$	11.1286	−	19.0684i	0.434168	−	0.743928i
$658$	14.2457	−	3.48084i	0.555356	−	0.135697i
$659$	12.4889	−	9.07375i	0.486500	−	0.353463i	−0.317336	−	0.948313i	$-0.602788\pi$
$659$	12.4889	−	9.07375i	0.486500	−	0.353463i	0.803837	+	0.594850i	$0.202788\pi$
$660$	−21.2311	−	21.3884i	−0.826419	−	0.832543i
$661$	−8.42635	−	6.12210i	−0.327747	−	0.238122i	0.411727	−	0.911307i	$-0.364926\pi$
$661$	−8.42635	−	6.12210i	−0.327747	−	0.238122i	−0.739474	+	0.673185i	$0.764926\pi$
$662$	−45.3891	−	18.5870i	−1.76410	−	0.722403i
$663$	−34.4142	+	13.1179i	−1.33654	+	0.509458i
$664$	−10.7555	−	6.41353i	−0.417395	−	0.248893i
$665$	−10.3402	−	4.08119i	−0.400974	−	0.158262i
$666$	−15.1365	−	19.7532i	−0.586528	−	0.765422i
$667$	−16.2771	+	50.0957i	−0.630251	+	1.93971i
$668$	−6.63696	−	3.31463i	−0.256792	−	0.128247i
$669$	19.2619	+	12.5731i	0.744707	+	0.486103i
$670$	−7.83413	+	16.1999i	−0.302659	+	0.625856i
$671$	7.73359	+	23.8015i	0.298552	+	0.918849i
$672$	15.9342	+	5.32543i	0.614674	+	0.205433i
$673$	−23.3216	+	32.0995i	−0.898983	+	1.23734i	0.0718087	+	0.997418i	$0.477123\pi$
$673$	−23.3216	+	32.0995i	−0.898983	+	1.23734i	−0.970791	+	0.239925i	$0.922877\pi$
$674$	5.63519	+	9.11320i	0.217060	+	0.351027i
$675$	−25.9716	+	0.688995i	−0.999648	+	0.0265194i
$676$	−6.88389	+	13.7838i	−0.264765	+	0.530146i
$677$	−27.3849	−	19.8963i	−1.05249	−	0.764676i	−0.0798029	−	0.996811i	$-0.525429\pi$
$677$	−27.3849	−	19.8963i	−1.05249	−	0.764676i	−0.972684	+	0.232134i	$0.925429\pi$
$678$	3.30082	−	2.27678i	0.126767	−	0.0874394i
$679$	−14.9949	+	4.87215i	−0.575453	+	0.186976i
$680$	−16.6753	+	24.4025i	−0.639467	+	0.935793i
$681$	17.9124	−	27.4416i	0.686403	−	1.05157i
$682$	−19.3176	−	31.2403i	−0.739709	−	1.19625i
$683$	−17.4405	−	5.66677i	−0.667343	−	0.216833i	−0.0442974	−	0.999018i	$-0.514105\pi$
$683$	−17.4405	−	5.66677i	−0.667343	−	0.216833i	−0.623046	+	0.782186i	$0.714105\pi$
$684$	16.2613	+	6.17934i	0.621765	+	0.236273i
$685$	3.88375	−	2.47053i	0.148390	−	0.0943940i
$686$	26.7451	+	1.99652i	1.02113	+	0.0762276i
$687$	13.4499	+	35.2851i	0.513145	+	1.34621i
$688$	−10.1301	−	3.11195i	−0.386206	−	0.118642i
$689$	1.16749	−	1.60692i	0.0444780	−	0.0612187i
$690$	−24.0969	+	27.7767i	−0.917352	+	1.05744i
$691$	−25.7183	−	35.3982i	−0.978370	−	1.34661i	−0.937703	−	0.347439i	$-0.887052\pi$
$691$	−25.7183	−	35.3982i	−0.978370	−	1.34661i	−0.0406676	−	0.999173i	$-0.512948\pi$
$692$	−6.27217	−	6.17192i	−0.238432	−	0.234621i
$693$	−17.2854	−	10.0880i	−0.656617	−	0.383212i
$694$	−5.31644	+	1.29904i	−0.201809	+	0.0493107i
$695$	18.8698	−	22.8594i	0.715774	−	0.867106i
$696$	38.0565	−	5.38784i	1.44253	−	0.204226i
$697$	28.3771	−	9.22029i	1.07486	−	0.349244i
$698$	4.53146	+	0.338274i	0.171518	+	0.0128039i
$699$	−5.43148	+	20.0822i	−0.205437	+	0.759579i
$700$	−16.5140	−	4.61578i	−0.624172	−	0.174460i
$701$		−	16.2743i		−	0.614670i	−0.951601	−	0.307335i	$-0.900563\pi$
$701$		−	16.2743i		−	0.614670i	0.951601	−	0.307335i	$-0.0994373\pi$
$702$	21.6388	+	25.4903i	0.816703	+	0.962070i
$703$	−5.25522	−	16.1739i	−0.198204	−	0.610010i
$704$	14.7965	+	27.3831i	0.557665	+	1.03204i
$705$	22.3589	−	6.97556i	0.842085	−	0.262715i
$706$	−2.99999	−	12.2778i	−0.112906	−	0.462080i
$707$		−	28.1524i		−	1.05878i
$708$	9.66761	−	5.65548i	0.363331	−	0.212546i
$709$	−12.8901	+	9.36519i	−0.484097	+	0.351717i	−0.802910	−	0.596101i	$-0.796716\pi$
$709$	−12.8901	+	9.36519i	−0.484097	+	0.351717i	0.318813	+	0.947818i	$0.396716\pi$
$710$	−6.47158	−	35.9964i	−0.242874	−	1.35092i
$711$	10.5153	−	4.62278i	0.394354	−	0.173368i
$712$	8.91495	−	7.80234i	0.334102	−	0.292405i
$713$	−36.2584	+	26.3433i	−1.35789	+	0.986564i
$714$	−6.52078	+	18.5132i	−0.244034	+	0.692838i
$715$	2.44335	−	39.5093i	0.0913760	−	1.47757i
$716$	6.26601	+	37.5992i	0.234172	+	1.40515i
$717$	−19.3298	−	12.6174i	−0.721885	−	0.471206i
$718$	−5.29431	+	3.27377i	−0.197582	+	0.122176i
$719$	−3.29376	+	10.1371i	−0.122836	+	0.378052i	−0.993501	−	0.113826i	$-0.963689\pi$
$719$	−3.29376	+	10.1371i	−0.122836	+	0.378052i	0.870664	+	0.491878i	$0.163689\pi$
$720$	25.9325	+	6.89244i	0.966447	+	0.256866i
$721$	−1.06328	−	3.27244i	−0.0395986	−	0.121872i
$722$	−11.4317	−	9.68425i	−0.425445	−	0.360411i
$723$	38.6592	−	31.1559i	1.43775	−	1.15870i
$724$	8.01012	−	16.0389i	0.297694	−	0.596080i
$725$	−38.5180	+	7.43302i	−1.43052	+	0.276055i
$726$	−2.89449	−	9.71153i	−0.107425	−	0.360429i
$727$	−8.33334	−	6.05452i	−0.309066	−	0.224550i	0.422429	−	0.906396i	$-0.361177\pi$
$727$	−8.33334	−	6.05452i	−0.309066	−	0.224550i	−0.731496	+	0.681846i	$0.761177\pi$
$728$	8.69065	+	20.2843i	0.322097	+	0.751786i
$729$	25.7933	−	7.98161i	0.955307	−	0.295615i
$730$	16.1103	−	16.7949i	0.596267	−	0.621608i
$731$	3.82587	−	11.7748i	0.141505	−	0.435508i
$732$	−16.6442	−	14.8152i	−0.615188	−	0.547587i
$733$	23.3696	+	7.59323i	0.863174	+	0.280462i	0.706954	−	0.707260i	$-0.250069\pi$
$733$	23.3696	+	7.59323i	0.863174	+	0.280462i	0.156221	+	0.987722i	$0.450069\pi$
$734$	−16.2415	+	39.6617i	−0.599486	+	1.46394i
$735$	15.7225	+	0.184701i	0.579933	+	0.00681280i
$736$	31.9757	−	20.4917i	1.17864	−	0.755334i
$737$	−17.9112	+	13.0132i	−0.659766	+	0.479348i
$738$	−16.4763	−	21.5017i	−0.606501	−	0.791487i
$739$	−21.9622	+	30.2284i	−0.807894	+	1.11197i	0.183751	+	0.982973i	$0.441176\pi$
$739$	−21.9622	+	30.2284i	−0.807894	+	1.11197i	−0.991645	+	0.128997i	$0.958824\pi$
$740$	−10.6372	−	23.9784i	−0.391031	−	0.881465i
$741$	8.13851	+	21.3509i	0.298975	+	0.784346i
$742$	−0.251260	−	1.02831i	−0.00922406	−	0.0377504i
$743$			38.4719i			1.41140i	0.708511	+	0.705699i	$0.249367\pi$
$743$			38.4719i			1.41140i	−0.708511	+	0.705699i	$0.750633\pi$
$744$	28.8911	+	15.3241i	1.05920	+	0.561810i
$745$	−2.61438	+	42.2750i	−0.0957834	+	1.54883i
$746$	10.4879	−	12.3804i	0.383990	−	0.453279i
$747$	−12.9789	−	2.82238i	−0.474871	−	0.103265i
$748$	−32.2659	+	16.7691i	−1.17976	+	0.613138i
$749$		−	27.7020i		−	1.01221i
$750$	−26.7857	−	5.70318i	−0.978075	−	0.208251i
$751$			7.49060i			0.273336i	0.990617	+	0.136668i	$0.0436393\pi$
$751$			7.49060i			0.273336i	−0.990617	+	0.136668i	$0.956361\pi$
$752$	−24.1868	+	0.389720i	−0.882000	+	0.0142116i
$753$	−4.81019	+	0.240790i	−0.175293	+	0.00877488i
$754$	38.5216	+	32.6331i	1.40287	+	1.18843i
$755$	1.37642	−	22.2569i	0.0500929	−	0.810011i
$756$	17.8197	−	0.0182801i	0.648095	−	0.000664841i
$757$		−	19.4819i		−	0.708082i	−0.935230	−	0.354041i	$-0.884807\pi$
$757$		−	19.4819i		−	0.708082i	0.935230	−	0.354041i	$-0.115193\pi$
$758$	37.0245	−	9.04668i	1.34479	−	0.328590i
$759$	−42.2750	+	16.1143i	−1.53448	+	0.584912i
$760$	15.1396	+	10.3455i	0.549170	+	0.375271i
$761$	−9.09576	+	12.5192i	−0.329721	+	0.453822i	−0.941404	−	0.337281i	$-0.890493\pi$
$761$	−9.09576	+	12.5192i	−0.329721	+	0.453822i	0.611683	+	0.791103i	$0.290493\pi$
$762$	−8.33291	−	6.37179i	−0.301869	−	0.230826i
$763$	−5.00079	+	3.63329i	−0.181041	+	0.131534i
$764$	33.8386	−	17.5864i	1.22424	−	0.636255i
$765$	−8.53947	+	30.1632i	−0.308745	+	1.09055i
$766$	13.4923	+	5.52512i	0.487496	+	0.199631i
$767$	13.9916	+	4.54616i	0.505209	+	0.164152i
$768$	−23.6825	−	14.3924i	−0.854567	−	0.519340i
$769$	−1.41299	+	4.34873i	−0.0509536	+	0.156819i	−0.973296	−	0.229555i	$-0.926273\pi$
$769$	−1.41299	+	4.34873i	−0.0509536	+	0.156819i	0.922342	+	0.386375i	$0.126273\pi$
$770$	−15.2245	−	14.6039i	−0.548653	−	0.526287i
$771$	−2.13600	+	0.106924i	−0.0769260	+	0.00385079i
$772$	−2.32543	+	15.4887i	−0.0836941	+	0.557452i
$773$	8.44554	+	6.13604i	0.303765	+	0.220698i	0.729216	−	0.684283i	$-0.239885\pi$
$773$	8.44554	+	6.13604i	0.303765	+	0.220698i	−0.425452	+	0.904981i	$0.639885\pi$
$774$	−11.2365	+	0.286831i	−0.403887	+	0.0103099i
$775$	−30.2316	−	14.1471i	−1.08595	−	0.508179i
$776$	25.9006	−	2.35365i	0.929778	−	0.0844911i
$777$	−10.9314	−	13.5640i	−0.392162	−	0.486607i
$778$	4.66825	−	5.51061i	0.167365	−	0.197565i
$779$	−5.72038	−	17.6055i	−0.204954	−	0.630783i
$780$	15.8849	+	31.4624i	0.568771	+	1.12654i
$781$	13.9050	−	42.7951i	0.497559	−	1.53133i
$782$	23.3354	+	37.7379i	0.834473	+	1.34950i
$783$	36.4534	−	18.2523i	1.30274	−	0.652283i
$784$	−15.5233	−	4.76873i	−0.554403	−	0.170312i
$785$	−2.85465	+	46.1602i	−0.101887	+	1.64753i
$786$	−7.44775	+	21.1449i	−0.265652	+	0.754214i
$787$	−39.3700	+	28.6040i	−1.40339	+	1.01962i	−0.409145	+	0.912469i	$0.634173\pi$
$787$	−39.3700	+	28.6040i	−1.40339	+	1.01962i	−0.994243	+	0.107152i	$0.965827\pi$
$788$	−6.00329	−	36.0227i	−0.213858	−	1.28326i
$789$	−3.33824	−	4.14219i	−0.118844	−	0.147466i
$790$	11.9169	−	2.14246i	0.423983	−	0.0762253i
$791$	2.27092	−	1.64992i	0.0807445	−	0.0586643i
$792$	24.1143	+	22.5470i	0.856866	+	0.801173i
$793$		−	29.2685i		−	1.03936i
$794$	20.1937	−	4.93418i	0.716646	−	0.175107i
$795$	−0.503522	−	1.61395i	−0.0178581	−	0.0572409i
$796$	2.71467	−	18.0813i	0.0962188	−	0.640874i
$797$	2.64897	+	8.15268i	0.0938312	+	0.288783i	0.986947	−	0.161044i	$-0.0514859\pi$
$797$	2.64897	+	8.15268i	0.0938312	+	0.288783i	−0.893116	+	0.449826i	$0.851486\pi$
$798$	11.4858	+	4.04557i	0.406593	+	0.143212i
$799$		−	28.2610i		−	0.999801i
$800$	24.8747	+	13.4630i	0.879452	+	0.475988i
$801$	6.33379	−	10.8527i	0.223793	−	0.383460i
$802$	−0.278550	+	3.73141i	−0.00983594	+	0.131761i
$803$	27.2314	−	8.84802i	0.960976	−	0.312240i
$804$	7.91469	−	18.0535i	0.279129	−	0.636699i
$805$	−16.3870	+	19.8517i	−0.577567	+	0.699680i
$806$	10.1961	+	41.7288i	0.359144	+	1.46983i
$807$	32.1515	+	8.69576i	1.13179	+	0.306105i
$808$	−10.2943	+	45.2826i	−0.362153	+	1.59304i
$809$	12.9262	+	17.7914i	0.454460	+	0.625511i	0.973348	−	0.229331i	$-0.0736539\pi$
$809$	12.9262	+	17.7914i	0.454460	+	0.625511i	−0.518888	+	0.854842i	$0.673654\pi$
$810$	28.4026	−	1.81429i	0.997966	−	0.0637475i
$811$	−1.48463	+	2.04342i	−0.0521324	+	0.0717540i	−0.834287	−	0.551330i	$-0.814121\pi$
$811$	−1.48463	+	2.04342i	−0.0521324	+	0.0717540i	0.782155	+	0.623084i	$0.214121\pi$
$812$	26.5401	−	4.42298i	0.931374	−	0.155216i
$813$	−10.8126	+	4.12151i	−0.379213	+	0.144548i
$814$	2.40257	−	32.1844i	0.0842099	−	1.12806i
$815$	2.68072	−	1.70526i	0.0939016	−	0.0597326i
$816$	17.2581	−	27.3936i	0.604155	−	0.958969i
$817$	−7.30524	−	2.37362i	−0.255578	−	0.0830423i
$818$	22.2061	−	13.7312i	0.776417	−	0.480101i
$819$	15.5801	+	17.4674i	0.544414	+	0.610362i
$820$	−11.5787	−	26.1009i	−0.404347	−	0.911482i
$821$	26.7559	−	8.69352i	0.933788	−	0.303406i	0.197677	−	0.980267i	$-0.436660\pi$
$821$	26.7559	−	8.69352i	0.933788	−	0.303406i	0.736111	+	0.676861i	$0.236660\pi$
$822$	−4.15065	+	2.86297i	−0.144770	+	0.0998574i
$823$	−21.3099	−	15.4825i	−0.742815	−	0.539687i	0.150776	−	0.988568i	$-0.451823\pi$
$823$	−21.3099	−	15.4825i	−0.742815	−	0.539687i	−0.893592	+	0.448881i	$0.851823\pi$
$824$	0.513652	+	5.65245i	0.0178939	+	0.196912i
$825$	−25.7308	−	21.7533i	−0.895831	−	0.757353i
$826$	6.66855	−	4.12353i	0.232029	−	0.143476i
$827$	20.9511	−	28.8367i	0.728540	−	1.00275i	−0.270657	−	0.962676i	$-0.587241\pi$
$827$	20.9511	−	28.8367i	0.728540	−	1.00275i	0.999197	−	0.0400733i	$-0.0127592\pi$
$828$	25.2447	−	31.3903i	0.877315	−	1.09089i
$829$	13.9972	+	43.0790i	0.486144	+	1.49620i	0.830317	+	0.557291i	$0.188159\pi$
$829$	13.9972	+	43.0790i	0.486144	+	1.49620i	−0.344174	+	0.938906i	$0.611841\pi$
$830$	−12.6042	−	6.09528i	−0.437498	−	0.211570i
$831$	−8.89118	+	13.6212i	−0.308432	+	0.472515i
$832$	−6.56150	−	35.8047i	−0.227479	−	1.24130i
$833$	5.86274	−	18.0437i	0.203132	−	0.625176i
$834$	−19.7235	+	25.7940i	−0.682969	+	0.893173i
$835$	−7.71508	−	3.04509i	−0.266991	−	0.105380i
$836$	10.4037	+	20.0181i	0.359820	+	0.692342i
$837$	34.2214	+	5.66702i	1.18286	+	0.195881i
$838$	15.1880	−	37.0890i	0.524662	−	1.28122i
$839$	4.63170	+	3.36513i	0.159904	+	0.116177i	0.664860	−	0.746968i	$-0.268491\pi$
$839$	4.63170	+	3.36513i	0.159904	+	0.116177i	−0.504956	+	0.863145i	$0.668491\pi$
$840$	18.2661	+	4.37879i	0.630239	+	0.151083i
$841$	26.3378	−	19.1356i	0.908202	−	0.659847i
$842$	8.84460	+	36.1975i	0.304805	+	1.24745i
$843$	3.11893	+	0.843553i	0.107422	+	0.0290535i
$844$	−14.8409	+	15.0820i	−0.510845	+	0.519143i
$845$	−6.32410	+	16.0229i	−0.217556	+	0.551203i
$846$	−24.1912	+	8.54864i	−0.831712	+	0.293908i
$847$	−2.19211	−	6.74663i	−0.0753218	−	0.231817i
$848$	0.0281315	+	1.74589i	0.000966038	+	0.0599541i
$849$	6.65147	−	24.5930i	0.228278	−	0.844029i
$850$	−16.1949	+	28.8038i	−0.555480	+	0.987961i
$851$	−39.3801			−1.34993
$852$	8.55357	+	39.1406i	0.293040	+	1.34093i
$853$	−19.5151	+	6.34083i	−0.668183	+	0.217106i	−0.623414	−	0.781892i	$-0.714255\pi$
$853$	−19.5151	+	6.34083i	−0.668183	+	0.217106i	−0.0447685	+	0.998997i	$0.514255\pi$
$854$	−11.9018	−	10.0825i	−0.407273	−	0.345016i
$855$	18.7136	+	5.29799i	0.639991	+	0.181187i
$856$	−10.1296	+	44.5581i	−0.346223	+	1.52296i
$857$	13.3005			0.454336			0.227168	−	0.973856i	$-0.427053\pi$
$857$	13.3005			0.454336			0.227168	+	0.973856i	$0.427053\pi$
$858$	−1.06209	+	43.3500i	−0.0362590	+	1.47994i
$859$	−3.70269	−	5.09631i	−0.126334	−	0.173884i	0.741165	−	0.671323i	$-0.234274\pi$
$859$	−3.70269	−	5.09631i	−0.126334	−	0.173884i	−0.867499	+	0.497439i	$0.834274\pi$
$860$	−11.5859	−	2.47899i	−0.395076	−	0.0845328i
$861$	−11.8990	−	14.7646i	−0.405516	−	0.503177i
$862$	−5.76231	+	14.0715i	−0.196265	+	0.479277i
$863$	6.74458	+	9.28312i	0.229588	+	0.316001i	0.908232	−	0.418466i	$-0.137432\pi$
$863$	6.74458	+	9.28312i	0.229588	+	0.316001i	−0.678644	+	0.734467i	$0.737432\pi$
$864$	−28.6692	−	6.48659i	−0.975347	−	0.220678i
$865$	−7.58719	−	6.26303i	−0.257972	−	0.212949i
$866$	13.7334	+	5.62387i	0.466680	+	0.191107i
$867$	7.01798	+	4.58095i	0.238343	+	0.155577i
$868$	20.4811	+	10.2287i	0.695175	+	0.347184i
$869$	14.1676	+	4.60333i	0.480603	+	0.156157i
$870$	41.8616	−	9.70896i	1.41924	−	0.329164i
$871$	24.6249	−	8.00111i	0.834383	−	0.271107i
$872$	9.37223	−	4.01546i	0.317384	−	0.135981i
$873$	25.2524	−	11.1016i	0.854664	−	0.375732i
$874$	23.4130	−	14.4776i	0.791957	−	0.489711i
$875$	−18.8428	−	3.53190i	−0.637001	−	0.119400i
$876$	−16.9501	+	19.0427i	−0.572692	+	0.643393i
$877$	30.3119	−	41.7207i	1.02356	−	1.40881i	0.113880	−	0.993494i	$-0.463672\pi$
$877$	30.3119	−	41.7207i	1.02356	−	1.40881i	0.909678	−	0.415313i	$-0.136328\pi$
$878$	−17.8040	+	21.0166i	−0.600855	+	0.709276i
$879$	−42.4352	+	2.12424i	−1.43130	+	0.0716487i
$880$	19.1482	+	29.0570i	0.645485	+	0.979513i
$881$	−35.4940	−	11.5327i	−1.19582	−	0.388546i	−0.357600	−	0.933875i	$-0.616405\pi$
$881$	−35.4940	−	11.5327i	−1.19582	−	0.388546i	−0.838222	+	0.545328i	$0.816405\pi$
$882$	−17.2187	+	0.439538i	−0.579784	+	0.0148000i
$883$	−17.5642	+	54.0570i	−0.591081	+	1.81916i	−0.0177435	+	0.999843i	$0.505648\pi$
$883$	−17.5642	+	54.0570i	−0.591081	+	1.81916i	−0.573338	+	0.819319i	$0.694352\pi$
$884$	41.9485	−	6.99085i	1.41088	−	0.235128i
$885$	10.2165	−	7.24093i	0.343425	−	0.243401i
$886$	0.834614	−	11.1803i	0.0280394	−	0.375611i
$887$	−15.0606	−	20.7292i	−0.505686	−	0.696018i	0.477498	−	0.878633i	$-0.341544\pi$
$887$	−15.0606	−	20.7292i	−0.505686	−	0.696018i	−0.983184	+	0.182615i	$0.941544\pi$
$888$	12.6231	+	25.8147i	0.423602	+	0.866283i
$889$	−5.94072	−	4.31619i	−0.199245	−	0.144760i
$890$	9.16906	−	9.55874i	0.307348	−	0.320410i
$891$	31.8536	+	14.5414i	1.06713	+	0.487155i
$892$	−18.9319	−	18.6293i	−0.633887	−	0.623756i
$893$	−17.5334			−0.586734
$894$	1.13643	−	46.3844i	0.0380079	−	1.55133i
$895$	10.6425	+	41.2667i	0.355739	+	1.37939i
$896$	−16.8201	−	9.66592i	−0.561919	−	0.322916i
$897$	52.8446	−	2.64531i	1.76443	−	0.0883244i
$898$	0.954268	−	12.7832i	0.0318443	−	0.426581i
$899$	52.3749			1.74680
$900$	29.5547	+	5.14990i	0.985156	+	0.171663i
$901$	−2.03998			−0.0679616
$902$	2.61523	−	35.0331i	0.0870775	−	1.16648i
$903$	−7.85851	+	0.393384i	−0.261515	+	0.0130910i
$904$	−4.25603	+	1.82347i	−0.141554	+	0.0606475i
$905$	7.35875	−	18.6442i	0.244613	−	0.619756i
$906$	−0.598307	+	24.4204i	−0.0198774	+	0.811315i
$907$	−47.1638			−1.56605			−0.783023	−	0.621992i	$-0.786324\pi$
$907$	−47.1638			−1.56605			−0.783023	+	0.621992i	$0.786324\pi$
$908$	−26.5405	+	26.9715i	−0.880776	+	0.895082i
$909$	4.91891	+	49.0087i	0.163150	+	1.62552i
$910$	11.6559	+	21.7455i	0.386389	+	0.720855i
$911$	−28.0854	−	20.4052i	−0.930511	−	0.676056i	0.0156069	−	0.999878i	$-0.495032\pi$
$911$	−28.0854	−	20.4052i	−0.930511	−	0.676056i	−0.946118	+	0.323822i	$0.895032\pi$
$912$	−16.9953	−	10.7071i	−0.562772	−	0.354549i
$913$	−10.1248	−	13.9356i	−0.335083	−	0.461202i
$914$	−2.49028	+	33.3594i	−0.0823713	+	1.10343i
$915$	−19.9815	−	14.8792i	−0.660569	−	0.491890i
$916$	−7.16777	−	43.0101i	−0.236830	−	1.42109i
$917$	−4.84948	+	14.9252i	−0.160144	+	0.492873i
$918$	8.11689	−	33.3677i	0.267897	−	1.10130i
$919$	−46.1988	−	15.0109i	−1.52396	−	0.495164i	−0.577061	−	0.816701i	$-0.695800\pi$
$919$	−46.1988	−	15.0109i	−1.52396	−	0.495164i	−0.946897	+	0.321537i	$0.895800\pi$
$920$	33.6172	−	25.9388i	1.10833	−	0.855178i
$921$	−55.9896	+	2.80274i	−1.84492	+	0.0923536i
$922$	−22.4039	+	26.4465i	−0.737833	+	0.870971i
$923$	−30.9320	+	42.5743i	−1.01814	+	1.40135i
$924$	17.2621	+	15.3652i	0.567881	+	0.505479i
$925$	−14.1839	−	25.6703i	−0.466362	−	0.844033i
$926$	38.1598	−	23.5963i	1.25401	−	0.775423i
$927$	2.42277	+	5.51099i	0.0795741	+	0.181005i
$928$	−44.3064	−	2.59046i	−1.45443	−	0.0850360i
$929$	−47.6088	+	15.4690i	−1.56199	+	0.507523i	−0.957340	−	0.288965i	$-0.906689\pi$
$929$	−47.6088	+	15.4690i	−1.56199	+	0.507523i	−0.604655	+	0.796487i	$0.706689\pi$
$930$	33.6715	+	14.2527i	1.10413	+	0.467364i
$931$	−11.1945	−	3.63731i	−0.366885	−	0.119208i
$932$	10.7330	−	21.4910i	0.351572	−	0.703961i
$933$	4.98209	+	3.25203i	0.163106	+	0.106467i
$934$	34.5646	+	14.1543i	1.13099	+	0.463142i
$935$	−34.3032	+	21.8209i	−1.12184	+	0.713621i
$936$	−18.6731	−	33.7931i	−0.610350	−	1.10456i
$937$	−22.5968	−	31.1018i	−0.738206	−	1.01605i	−0.998720	−	0.0505829i	$-0.983892\pi$
$937$	−22.5968	−	31.1018i	−0.738206	−	1.01605i	0.260514	−	0.965470i	$-0.416108\pi$
$938$	5.22926	−	12.7698i	0.170741	−	0.416948i
$939$	−8.29579	−	10.2937i	−0.270723	−	0.335921i
$940$	−26.9008	+	2.79073i	−0.877406	+	0.0910235i
$941$	1.88171	+	2.58995i	0.0613420	+	0.0844301i	0.838586	−	0.544769i	$-0.183383\pi$
$941$	1.88171	+	2.58995i	0.0613420	+	0.0844301i	−0.777244	+	0.629200i	$0.783383\pi$
$942$	1.24087	−	50.6474i	0.0404299	−	1.65018i
$943$	−42.8658			−1.39590
$944$	−12.2340	+	4.19417i	−0.398184	+	0.136508i
$945$	19.8454	−	1.75664i	0.645571	−	0.0571435i
$946$	−11.1226	−	9.42235i	−0.361626	−	0.306347i
$947$	5.89125	−	1.91418i	0.191440	−	0.0622026i	−0.211728	−	0.977329i	$-0.567909\pi$
$947$	5.89125	−	1.91418i	0.191440	−	0.0622026i	0.403168	+	0.915126i	$0.367909\pi$
$948$	−12.9577	+	2.83171i	−0.420848	+	0.0919698i
$949$	−33.4862			−1.08701
$950$	17.8702	+	10.0475i	0.579786	+	0.325984i
$951$	8.67280	−	32.0666i	0.281235	−	1.03983i
$952$	11.6078	−	19.4663i	0.376210	−	0.630907i
$953$	1.25019	+	3.84768i	0.0404975	+	0.124639i	0.969261	−	0.246034i	$-0.0791273\pi$
$953$	1.25019	+	3.84768i	0.0404975	+	0.124639i	−0.928764	+	0.370672i	$0.879127\pi$
$954$	0.617073	+	1.74621i	0.0199785	+	0.0565358i
$955$	35.9752	−	22.8845i	1.16413	−	0.740526i
$956$	18.9987	+	18.6950i	0.614462	+	0.604641i
$957$	51.0369	+	13.8036i	1.64979	+	0.446206i
$958$	−0.443196	−	1.81383i	−0.0143190	−	0.0586021i
$959$	−2.85559	+	2.07471i	−0.0922117	+	0.0669957i
$960$	−27.7794	−	13.7224i	−0.896576	−	0.442889i
$961$	10.9732	+	7.97251i	0.353975	+	0.257178i
$962$	−14.3036	+	34.9292i	−0.461167	+	1.12616i
$963$	4.84021	+	48.2246i	0.155974	+	1.55402i
$964$	−50.8719	+	26.4389i	−1.63847	+	0.851539i
$965$	−1.08086	+	17.4776i	−0.0347940	+	0.562625i
$966$	17.1284	−	22.4002i	0.551097	−	0.720714i
$967$	10.7427	−	33.0626i	0.345462	−	1.06322i	−0.615874	−	0.787844i	$-0.711197\pi$
$967$	10.7427	−	33.0626i	0.345462	−	1.06322i	0.961336	−	0.275378i	$-0.0888029\pi$
$968$	1.05897	+	11.6534i	0.0340366	+	0.374554i
$969$	12.8274	−	19.6515i	0.412075	−	0.631296i
$970$	28.6183	−	5.14511i	0.918877	−	0.165199i
$971$	2.59138	+	7.97546i	0.0831615	+	0.255945i	0.983988	−	0.178234i	$-0.0570385\pi$
$971$	2.59138	+	7.97546i	0.0831615	+	0.255945i	−0.900827	+	0.434179i	$0.857039\pi$
$972$	−31.0178	+	3.14535i	−0.994898	+	0.100887i
$973$	−13.3605	+	18.3891i	−0.428318	+	0.589529i
$974$	12.5184	−	7.74082i	0.401115	−	0.248032i
$975$	20.7579	+	33.4945i	0.664784	+	1.07268i
$976$	15.4571	+	20.5696i	0.494768	+	0.658416i
$977$	−10.4620	−	7.60108i	−0.334709	−	0.243180i	0.407717	−	0.913108i	$-0.366325\pi$
$977$	−10.4620	−	7.60108i	−0.334709	−	0.243180i	−0.742426	+	0.669928i	$0.766325\pi$
$978$	−2.86494	+	1.97613i	−0.0916108	+	0.0631898i
$979$	15.4986	−	5.03581i	0.495338	−	0.160945i
$980$	−17.7542	−	3.79878i	−0.567136	−	0.121348i
$981$	8.07072	−	7.19871i	0.257678	−	0.229837i
$982$	−51.2100	+	31.6659i	−1.63418	+	1.01050i
$983$	−24.0787	−	7.82363i	−0.767990	−	0.249535i	−0.101286	−	0.994857i	$-0.532296\pi$
$983$	−24.0787	−	7.82363i	−0.767990	−	0.249535i	−0.666704	+	0.745322i	$0.732296\pi$
$984$	13.7404	+	28.0996i	0.438027	+	0.895783i
$985$	−10.1963	−	39.5364i	−0.324880	−	1.25974i
$986$	3.85998	−	51.7075i	0.122927	−	1.64670i
$987$	−16.7828	+	6.39722i	−0.534201	+	0.203626i
$988$	−4.33720	−	26.0254i	−0.137985	−	0.827977i
$989$	−10.4548	+	14.3898i	−0.332443	+	0.457568i
$990$	29.0550	+	22.7628i	0.923427	+	0.723449i
$991$	8.58862	+	11.8212i	0.272826	+	0.375513i	0.923341	−	0.383980i	$-0.125447\pi$
$991$	8.58862	+	11.8212i	0.272826	+	0.375513i	−0.650515	+	0.759493i	$0.725447\pi$
$992$	−29.2032	−	23.9418i	−0.927203	−	0.760153i
$993$	57.9871	+	15.6833i	1.84017	+	0.497696i
$994$	6.65698	+	27.2444i	0.211147	+	0.864140i
$995$	1.26177	−	20.4031i	0.0400009	−	0.646821i
$996$	14.0464	+	6.15796i	0.445077	+	0.195122i
$997$	3.56923	−	1.15971i	0.113039	−	0.0367284i	−0.251952	−	0.967740i	$-0.581072\pi$
$997$	3.56923	−	1.15971i	0.113039	−	0.0367284i	0.364990	+	0.931011i	$0.381072\pi$
$998$	−0.862532	+	11.5543i	−0.0273030	+	0.365746i
$999$	21.3997	+	21.7027i	0.677057	+	0.686644i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.r.a.59.55	yes	224
3.2	odd	2	inner	300.2.r.a.59.2	✓	224
4.3	odd	2	inner	300.2.r.a.59.36	yes	224
12.11	even	2	inner	300.2.r.a.59.21	yes	224
25.14	even	10	inner	300.2.r.a.239.21	yes	224
75.14	odd	10	inner	300.2.r.a.239.36	yes	224
100.39	odd	10	inner	300.2.r.a.239.2	yes	224
300.239	even	10	inner	300.2.r.a.239.55	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.r.a.59.2	✓	224	3.2	odd	2	inner
300.2.r.a.59.21	yes	224	12.11	even	2	inner
300.2.r.a.59.36	yes	224	4.3	odd	2	inner
300.2.r.a.59.55	yes	224	1.1	even	1	trivial
300.2.r.a.239.2	yes	224	100.39	odd	10	inner
300.2.r.a.239.21	yes	224	25.14	even	10	inner
300.2.r.a.239.36	yes	224	75.14	odd	10	inner
300.2.r.a.239.55	yes	224	300.239	even	10	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.r (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.41029 + 0.105278i) q^{2} +(-1.72988 + 0.0865951i) q^{3} +(1.97783 + 0.296946i) q^{4} +(2.23180 + 0.138020i) q^{5} +(-2.44875 - 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 + 0.627002i) q^{8} +(2.98500 - 0.299599i) q^{9} +O(q^{10})\)	\(q+(1.41029 + 0.105278i) q^{2} +(-1.72988 + 0.0865951i) q^{3} +(1.97783 + 0.296946i) q^{4} +(2.23180 + 0.138020i) q^{5} +(-2.44875 - 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 + 0.627002i) q^{8} +(2.98500 - 0.299599i) q^{9} +(3.13296 + 0.429608i) q^{10} +(3.14759 + 2.28686i) q^{11} +(-3.44714 - 0.342411i) q^{12} +(-2.67449 - 3.68112i) q^{13} +(-2.41822 - 0.180521i) q^{14} +(-3.87272 - 0.0454950i) q^{15} +(3.82365 + 1.17462i) q^{16} +(-1.44409 + 4.44446i) q^{17} +(4.24126 - 0.108266i) q^{18} +(2.75739 + 0.895932i) q^{19} +(4.37315 + 0.935705i) q^{20} +(2.96623 - 0.148484i) q^{21} +(4.19826 + 3.55651i) q^{22} +(3.94620 - 5.43148i) q^{23} +(-4.82541 - 0.845808i) q^{24} +(4.96190 + 0.616066i) q^{25} +(-3.38427 - 5.47302i) q^{26} +(-5.13777 + 0.776759i) q^{27} +(-3.39139 - 0.509172i) q^{28} +(-7.46173 + 2.42446i) q^{29} +(-5.45686 - 0.471874i) q^{30} +(-6.34887 - 2.06287i) q^{31} +(5.26879 + 2.05910i) q^{32} +(-5.64300 - 3.68344i) q^{33} +(-2.50449 + 6.11594i) q^{34} +(-3.82687 - 0.236662i) q^{35} +(5.99280 + 0.293827i) q^{36} +(-3.44774 - 4.74541i) q^{37} +(3.79440 + 1.55382i) q^{38} +(4.94533 + 6.13632i) q^{39} +(6.06890 + 1.78001i) q^{40} +(-3.75291 - 5.16544i) q^{41} +(4.19888 + 0.102874i) q^{42} -2.64933 q^{43} +(5.54634 + 5.45769i) q^{44} +(6.70329 - 0.256657i) q^{45} +(6.13711 - 7.24452i) q^{46} +(-5.75149 + 1.86877i) q^{47} +(-6.71618 - 1.70085i) q^{48} -4.05981 q^{49} +(6.93286 + 1.39121i) q^{50} +(2.11325 - 7.81346i) q^{51} +(-4.19661 - 8.07483i) q^{52} +(0.134895 + 0.415164i) q^{53} +(-7.32751 + 0.554559i) q^{54} +(6.70918 + 5.53825i) q^{55} +(-4.72923 - 1.07512i) q^{56} +(-4.84756 - 1.31108i) q^{57} +(-10.7784 + 2.63364i) q^{58} +(-2.61576 + 1.90046i) q^{59} +(-7.64608 - 1.23997i) q^{60} +(5.20398 + 3.78091i) q^{61} +(-8.73657 - 3.57765i) q^{62} +(-5.11838 + 0.513722i) q^{63} +(7.21374 + 3.45861i) q^{64} +(-5.46088 - 8.58468i) q^{65} +(-7.57048 - 5.78880i) q^{66} +(-1.75844 + 5.41192i) q^{67} +(-4.17594 + 8.36158i) q^{68} +(-6.35614 + 9.73757i) q^{69} +(-5.37208 - 0.736649i) q^{70} +(-3.57396 - 10.9995i) q^{71} +(8.42065 + 1.04529i) q^{72} +(4.32575 - 5.95389i) q^{73} +(-4.36272 - 7.05537i) q^{74} +(-8.63687 - 0.636047i) q^{75} +(5.18762 + 2.59080i) q^{76} +(-5.39717 - 3.92127i) q^{77} +(6.32833 + 9.17463i) q^{78} +(3.64146 - 1.18318i) q^{79} +(8.37151 + 3.14926i) q^{80} +(8.82048 - 1.78861i) q^{81} +(-4.74888 - 7.67987i) q^{82} +(-4.21070 - 1.36814i) q^{83} +(5.91080 + 0.587132i) q^{84} +(-3.83636 + 9.71985i) q^{85} +(-3.73632 - 0.278917i) q^{86} +(12.6980 - 4.84019i) q^{87} +(7.24737 + 8.28083i) q^{88} +(2.46198 - 3.38862i) q^{89} +(9.48060 + 0.343750i) q^{90} +(4.58595 + 6.31202i) q^{91} +(9.41779 - 9.57076i) q^{92} +(11.1615 + 3.01875i) q^{93} +(-8.30801 + 2.03000i) q^{94} +(6.03031 + 2.38012i) q^{95} +(-9.29270 - 3.10575i) q^{96} +(8.74495 - 2.84141i) q^{97} +(-5.72551 - 0.427410i) q^{98} +(10.0807 + 5.88327i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9	\( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 - 7 * q^6 - 6 * q^9 - 5 * q^12 - 20 * q^13 + 6 * q^16 - 24 * q^21 - 10 * q^22 - 28 * q^24 - 20 * q^25 - 50 * q^28 - 25 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 60 * q^37 - 20 * q^40 - 85 * q^42 - 30 * q^45 + 6 * q^46 - 70 * q^48 + 88 * q^49 + 40 * q^52 - 46 * q^54 + 50 * q^58 + 10 * q^60 - 28 * q^61 + 18 * q^64 + 64 * q^66 - 42 * q^69 - 40 * q^70 - 5 * q^72 - 20 * q^73 - 80 * q^76 - 85 * q^78 + 18 * q^81 - 48 * q^84 - 20 * q^85 + 50 * q^88 - 60 * q^90 + 60 * q^94 + 44 * q^96 - 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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