LMFDB - Embedded newform 820.2.bv.c.103.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(103,820)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(820, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 15, 7])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.103"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bv (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [960,-10] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$6.54773296574$
Analytic rank:	$0$
Dimension:	$960$
Relative dimension:	$120$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			103.5
Character	$\chi$	$=$	820.103
Dual form			820.2.bv.c.207.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41061 + 0.100844i) q^{2} -2.10001 q^{3} +(1.97966 - 0.284503i) q^{4} +(-2.12586 + 0.693335i) q^{5} +(2.96231 - 0.211773i) q^{6} +(2.45895 - 0.798960i) q^{7} +(-2.76385 + 0.600960i) q^{8} +1.41006 q^{9} +(2.92885 - 1.19241i) q^{10} +(-0.263552 + 1.66400i) q^{11} +(-4.15732 + 0.597460i) q^{12} +(-0.326207 - 0.105991i) q^{13} +(-3.38805 + 1.37499i) q^{14} +(4.46434 - 1.45601i) q^{15} +(3.83812 - 1.12644i) q^{16} +(-2.17799 - 2.99775i) q^{17} +(-1.98905 + 0.142196i) q^{18} +(4.89303 + 2.49312i) q^{19} +(-4.01123 + 1.97738i) q^{20} +(-5.16382 + 1.67783i) q^{21} +(0.203966 - 2.37384i) q^{22} +(-0.898947 - 1.76428i) q^{23} +(5.80412 - 1.26203i) q^{24} +(4.03857 - 2.94787i) q^{25} +(0.470840 + 0.116616i) q^{26} +3.33889 q^{27} +(4.64057 - 2.28125i) q^{28} +(1.91284 - 0.302964i) q^{29} +(-6.15063 + 2.50407i) q^{30} +(3.40831 + 4.69114i) q^{31} +(-5.30050 + 1.97602i) q^{32} +(0.553463 - 3.49443i) q^{33} +(3.37461 + 4.00903i) q^{34} +(-4.67343 + 3.40335i) q^{35} +(2.79144 - 0.401167i) q^{36} +(-5.95148 + 0.942621i) q^{37} +(-7.15359 - 3.02340i) q^{38} +(0.685038 + 0.222582i) q^{39} +(5.45889 - 3.19383i) q^{40} +(-4.04939 - 4.96008i) q^{41} +(7.11496 - 2.88751i) q^{42} +(-6.54514 + 3.33491i) q^{43} +(-0.0483302 + 3.36914i) q^{44} +(-2.99760 + 0.977645i) q^{45} +(1.44598 + 2.39807i) q^{46} +(0.106482 - 0.327719i) q^{47} +(-8.06010 + 2.36554i) q^{48} +(-0.255041 + 0.185298i) q^{49} +(-5.39959 + 4.56557i) q^{50} +(4.57382 + 6.29532i) q^{51} +(-0.675933 - 0.117019i) q^{52} +(-1.65885 + 2.28321i) q^{53} +(-4.70989 + 0.336706i) q^{54} +(-0.593435 - 3.72017i) q^{55} +(-6.31601 + 3.68593i) q^{56} +(-10.2754 - 5.23560i) q^{57} +(-2.66773 + 0.620264i) q^{58} +(-0.232276 + 0.714873i) q^{59} +(8.42364 - 4.15253i) q^{60} +(-12.5600 + 4.08098i) q^{61} +(-5.28088 - 6.27367i) q^{62} +(3.46727 - 1.12658i) q^{63} +(7.27769 - 3.32192i) q^{64} +(0.766957 - 0.000848241i) q^{65} +(-0.428332 + 4.98510i) q^{66} +(-4.14615 - 3.01235i) q^{67} +(-5.16456 - 5.31488i) q^{68} +(1.88780 + 3.70502i) q^{69} +(6.24920 - 5.27210i) q^{70} +(-0.805713 + 5.08707i) q^{71} +(-3.89719 + 0.847391i) q^{72} +(-5.82120 + 5.82120i) q^{73} +(8.30018 - 1.92984i) q^{74} +(-8.48107 + 6.19056i) q^{75} +(10.3958 + 3.54346i) q^{76} +(0.681411 + 4.30226i) q^{77} +(-0.988771 - 0.244896i) q^{78} +(-2.98448 - 2.98448i) q^{79} +(-7.37830 + 5.05575i) q^{80} -11.2419 q^{81} +(6.21232 + 6.58840i) q^{82} +(-3.40960 + 3.40960i) q^{83} +(-9.74527 + 4.79065i) q^{84} +(6.70856 + 4.86272i) q^{85} +(8.89635 - 5.36431i) q^{86} +(-4.01700 + 0.636230i) q^{87} +(-0.271582 - 4.75743i) q^{88} +(-9.51647 - 4.84888i) q^{89} +(4.12986 - 1.68137i) q^{90} -0.886807 q^{91} +(-2.28155 - 3.23693i) q^{92} +(-7.15750 - 9.85146i) q^{93} +(-0.117157 + 0.473023i) q^{94} +(-12.1305 - 1.90753i) q^{95} +(11.1311 - 4.14967i) q^{96} +(-7.97386 + 10.9751i) q^{97} +(0.341078 - 0.287103i) q^{98} +(-0.371625 + 2.34635i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/820\mathbb{Z}\right)^\times$.

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.41061	+	0.100844i	−0.997454	+	0.0713073i
$2$	−1.41061	+	0.100844i	−0.997454	+	0.0713073i
$3$	−2.10001			−1.21244			−0.606222	−	0.795295i	$-0.707316\pi$
$3$	−2.10001			−1.21244			−0.606222	+	0.795295i	$0.707316\pi$
$4$	1.97966	−	0.284503i	0.989831	−	0.142251i
$5$	−2.12586	+	0.693335i	−0.950714	+	0.310069i
$5$	−2.12586	+	0.693335i	−0.950714	+	0.310069i
$6$	2.96231	−	0.211773i	1.20936	−	0.0864561i
$7$	2.45895	−	0.798960i	0.929394	−	0.301978i	0.195079	−	0.980787i	$-0.437504\pi$
$7$	2.45895	−	0.798960i	0.929394	−	0.301978i	0.734315	+	0.678809i	$0.237504\pi$
$8$	−2.76385	+	0.600960i	−0.977167	+	0.212471i
$9$	1.41006			0.470021
$10$	2.92885	−	1.19241i	0.926184	−	0.377072i
$11$	−0.263552	+	1.66400i	−0.0794640	+	0.501716i	0.915568	+	0.402163i	$0.131741\pi$
$11$	−0.263552	+	1.66400i	−0.0794640	+	0.501716i	−0.995032	+	0.0995532i	$0.968259\pi$
$12$	−4.15732	+	0.597460i	−1.20011	+	0.172472i
$13$	−0.326207	−	0.105991i	−0.0904734	−	0.0293966i	0.263431	−	0.964678i	$-0.415146\pi$
$13$	−0.326207	−	0.105991i	−0.0904734	−	0.0293966i	−0.353904	+	0.935282i	$0.615146\pi$
$14$	−3.38805	+	1.37499i	−0.905495	+	0.367482i
$15$	4.46434	−	1.45601i	1.15269	−	0.375941i
$16$	3.83812	−	1.12644i	0.959529	−	0.281610i
$17$	−2.17799	−	2.99775i	−0.528241	−	0.727061i	0.458620	−	0.888632i	$-0.348344\pi$
$17$	−2.17799	−	2.99775i	−0.528241	−	0.727061i	−0.986861	+	0.161571i	$0.948344\pi$
$18$	−1.98905	+	0.142196i	−0.468824	+	0.0335159i
$19$	4.89303	+	2.49312i	1.12254	+	0.571962i	0.913863	−	0.406023i	$-0.133085\pi$
$19$	4.89303	+	2.49312i	1.12254	+	0.571962i	0.208675	+	0.977985i	$0.433085\pi$
$20$	−4.01123	+	1.97738i	−0.896938	+	0.442156i
$21$	−5.16382	+	1.67783i	−1.12684	+	0.366132i
$22$	0.203966	−	2.37384i	0.0434857	−	0.506105i
$23$	−0.898947	−	1.76428i	−0.187443	−	0.367878i	0.778092	−	0.628150i	$-0.216188\pi$
$23$	−0.898947	−	1.76428i	−0.187443	−	0.367878i	−0.965535	+	0.260272i	$0.916188\pi$
$24$	5.80412	−	1.26203i	1.18476	−	0.257610i
$25$	4.03857	−	2.94787i	0.807715	−	0.589573i
$26$	0.470840	+	0.116616i	0.0923393	+	0.0228703i
$27$	3.33889			0.642570
$28$	4.64057	−	2.28125i	0.876986	−	0.431115i
$29$	1.91284	−	0.302964i	0.355206	−	0.0562591i	0.0237183	−	0.999719i	$-0.492450\pi$
$29$	1.91284	−	0.302964i	0.355206	−	0.0562591i	0.331488	+	0.943460i	$0.392450\pi$
$30$	−6.15063	+	2.50407i	−1.12295	+	0.457179i
$31$	3.40831	+	4.69114i	0.612151	+	0.842553i	0.996752	−	0.0805297i	$-0.0256612\pi$
$31$	3.40831	+	4.69114i	0.612151	+	0.842553i	−0.384602	+	0.923083i	$0.625661\pi$
$32$	−5.30050	+	1.97602i	−0.937006	+	0.349314i
$33$	0.553463	−	3.49443i	0.0963456	−	0.608302i
$34$	3.37461	+	4.00903i	0.578741	+	0.687543i
$35$	−4.67343	+	3.40335i	−0.789954	+	0.575271i
$36$	2.79144	−	0.401167i	0.465241	−	0.0668611i
$37$	−5.95148	+	0.942621i	−0.978417	+	0.154966i	−0.625106	−	0.780540i	$-0.714944\pi$
$37$	−5.95148	+	0.942621i	−0.978417	+	0.154966i	−0.353311	+	0.935506i	$0.614944\pi$
$38$	−7.15359	−	3.02340i	−1.16047	−	0.490461i
$39$	0.685038	+	0.222582i	0.109694	+	0.0356417i
$40$	5.45889	−	3.19383i	0.863126	−	0.504989i
$41$	−4.04939	−	4.96008i	−0.632409	−	0.774635i
$41$	−4.04939	−	4.96008i	−0.632409	−	0.774635i
$42$	7.11496	−	2.88751i	1.09786	−	0.445552i
$43$	−6.54514	+	3.33491i	−0.998124	+	0.508570i	−0.875156	−	0.483841i	$-0.839241\pi$
$43$	−6.54514	+	3.33491i	−0.998124	+	0.508570i	−0.122968	+	0.992411i	$0.539241\pi$
$44$	−0.0483302	+	3.36914i	−0.00728605	+	0.507917i
$45$	−2.99760	+	0.977645i	−0.446855	+	0.145739i
$46$	1.44598	+	2.39807i	0.213199	+	0.353576i
$47$	0.106482	−	0.327719i	0.0155320	−	0.0478027i	−0.942990	−	0.332821i	$-0.892000\pi$
$47$	0.106482	−	0.327719i	0.0155320	−	0.0478027i	0.958522	+	0.285018i	$0.0919996\pi$
$48$	−8.06010	+	2.36554i	−1.16338	+	0.341436i
$49$	−0.255041	+	0.185298i	−0.0364344	+	0.0264711i
$50$	−5.39959	+	4.56557i	−0.763618	+	0.645668i
$51$	4.57382	+	6.29532i	0.640462	+	0.881521i
$52$	−0.675933	−	0.117019i	−0.0937351	−	0.0162277i
$53$	−1.65885	+	2.28321i	−0.227861	+	0.313623i	−0.907604	−	0.419826i	$-0.862091\pi$
$53$	−1.65885	+	2.28321i	−0.227861	+	0.313623i	0.679744	+	0.733450i	$0.262091\pi$
$54$	−4.70989	+	0.336706i	−0.640935	+	0.0458199i
$55$	−0.593435	−	3.72017i	−0.0800188	−	0.501628i
$56$	−6.31601	+	3.68593i	−0.844012	+	0.492553i
$57$	−10.2754	−	5.23560i	−1.36101	−	0.693472i
$58$	−2.66773	+	0.620264i	−0.350290	+	0.0814446i
$59$	−0.232276	+	0.714873i	−0.0302398	+	0.0930686i	−0.965037	−	0.262113i	$-0.915581\pi$
$59$	−0.232276	+	0.714873i	−0.0302398	+	0.0930686i	0.934797	+	0.355181i	$0.115581\pi$
$60$	8.42364	−	4.15253i	1.08749	−	0.536089i
$61$	−12.5600	+	4.08098i	−1.60814	+	0.522516i	−0.969102	−	0.246659i	$-0.920667\pi$
$61$	−12.5600	+	4.08098i	−1.60814	+	0.522516i	−0.639038	+	0.769175i	$0.720667\pi$
$62$	−5.28088	−	6.27367i	−0.670672	−	0.796757i
$63$	3.46727	−	1.12658i	0.436834	−	0.141936i
$64$	7.27769	−	3.32192i	0.909712	−	0.415240i
$65$	0.766957		0.000848241i	0.0951293		0.000105211i
$66$	−0.428332	+	4.98510i	−0.0527240	+	0.613624i
$67$	−4.14615	−	3.01235i	−0.506532	−	0.368017i	0.304974	−	0.952361i	$-0.401352\pi$
$67$	−4.14615	−	3.01235i	−0.506532	−	0.368017i	−0.811507	+	0.584343i	$0.801352\pi$
$68$	−5.16456	−	5.31488i	−0.626294	−	0.644524i
$69$	1.88780	+	3.70502i	0.227265	+	0.446032i
$70$	6.24920	−	5.27210i	0.746922	−	0.630136i
$71$	−0.805713	+	5.08707i	−0.0956206	+	0.603724i	0.892619	+	0.450812i	$0.148865\pi$
$71$	−0.805713	+	5.08707i	−0.0956206	+	0.603724i	−0.988240	+	0.152913i	$0.951135\pi$
$72$	−3.89719	+	0.847391i	−0.459289	+	0.0998660i
$73$	−5.82120	+	5.82120i	−0.681320	+	0.681320i	−0.960298	−	0.278977i	$-0.910005\pi$
$73$	−5.82120	+	5.82120i	−0.681320	+	0.681320i	0.278977	+	0.960298i	$0.410005\pi$
$74$	8.30018	−	1.92984i	0.964876	−	0.224340i
$75$	−8.48107	+	6.19056i	−0.979309	+	0.714825i
$76$	10.3958	+	3.54346i	1.19248	+	0.406462i
$77$	0.681411	+	4.30226i	0.0776540	+	0.490288i
$78$	−0.988771	−	0.244896i	−0.111956	−	0.0277290i
$79$	−2.98448	−	2.98448i	−0.335780	−	0.335780i	0.518996	−	0.854777i	$-0.326306\pi$
$79$	−2.98448	−	2.98448i	−0.335780	−	0.335780i	−0.854777	+	0.518996i	$0.826306\pi$
$80$	−7.37830	+	5.05575i	−0.824919	+	0.565250i
$81$	−11.2419			−1.24910
$82$	6.21232	+	6.58840i	0.686036	+	0.727567i
$83$	−3.40960	+	3.40960i	−0.374252	+	0.374252i	−0.869023	−	0.494771i	$-0.835252\pi$
$83$	−3.40960	+	3.40960i	−0.374252	+	0.374252i	0.494771	+	0.869023i	$0.335252\pi$
$84$	−9.74527	+	4.79065i	−1.06330	+	0.522703i
$85$	6.70856	+	4.86272i	0.727645	+	0.527436i
$86$	8.89635	−	5.36431i	0.959319	−	0.578449i
$87$	−4.01700	+	0.636230i	−0.430667	+	0.0682110i
$88$	−0.271582	−	4.75743i	−0.0289507	−	0.507144i
$89$	−9.51647	−	4.84888i	−1.00874	−	0.513980i	−0.130121	−	0.991498i	$-0.541537\pi$
$89$	−9.51647	−	4.84888i	−1.00874	−	0.513980i	−0.878622	+	0.477518i	$0.841537\pi$
$90$	4.12986	−	1.68137i	0.435325	−	0.177232i
$91$	−0.886807			−0.0929626
$92$	−2.28155	−	3.23693i	−0.237869	−	0.337473i
$93$	−7.15750	−	9.85146i	−0.742198	−	1.02155i
$94$	−0.117157	+	0.473023i	−0.0120838	+	0.0487886i
$95$	−12.1305	−	1.90753i	−1.24456	−	0.195708i
$96$	11.1311	−	4.14967i	1.13607	−	0.423524i
$97$	−7.97386	+	10.9751i	−0.809623	+	1.11435i	0.181759	+	0.983343i	$0.441821\pi$
$97$	−7.97386	+	10.9751i	−0.809623	+	1.11435i	−0.991381	+	0.131007i	$0.958179\pi$
$98$	0.341078	−	0.287103i	0.0344541	−	0.0290018i
$99$	−0.371625	+	2.34635i	−0.0373497	+	0.235817i
$100$	7.15633	−	6.98476i	0.715633	−	0.698476i
$101$	5.62195	+	2.86453i	0.559405	+	0.285031i	0.710744	−	0.703451i	$-0.248358\pi$
$101$	5.62195	+	2.86453i	0.559405	+	0.285031i	−0.151339	+	0.988482i	$0.548358\pi$
$102$	−7.08673	−	8.41902i	−0.701691	−	0.833607i
$103$	0.122261	−	0.239951i	0.0120467	−	0.0236431i	−0.884905	−	0.465772i	$-0.845777\pi$
$103$	0.122261	−	0.239951i	0.0120467	−	0.0236431i	0.896951	+	0.442129i	$0.145777\pi$
$104$	0.965281	+	0.0969055i	0.0946536	+	0.00950237i
$105$	9.81428	−	7.14709i	0.957775	−	0.697484i
$106$	2.10975	−	3.38801i	0.204917	−	0.329073i
$107$	−7.55036	+	14.8184i	−0.729921	+	1.43255i	0.164986	+	0.986296i	$0.447242\pi$
$107$	−7.55036	+	14.8184i	−0.729921	+	1.43255i	−0.894906	+	0.446254i	$0.852758\pi$
$108$	6.60988	−	0.949925i	0.636036	−	0.0914066i
$109$	−8.60244	−	8.60244i	−0.823964	−	0.823964i	0.162710	−	0.986674i	$-0.447977\pi$
$109$	−8.60244	−	8.60244i	−0.823964	−	0.823964i	−0.986674	+	0.162710i	$0.947977\pi$
$110$	1.21226	+	5.18788i	0.115585	+	0.494645i
$111$	12.4982	−	1.97952i	1.18628	−	0.187888i
$112$	8.53774	−	5.83635i	0.806741	−	0.551484i
$113$	16.1051	+	2.55079i	1.51504	+	0.239958i	0.857901	−	0.513815i	$-0.171768\pi$
$113$	16.1051	+	2.55079i	1.51504	+	0.239958i	0.657135	+	0.753773i	$0.271768\pi$
$114$	15.0226	+	6.34919i	1.40700	+	0.594656i
$115$	3.13428	+	3.12735i	0.292273	+	0.291627i
$116$	3.70058	−	1.14398i	0.343591	−	0.106216i
$117$	−0.459971	−	0.149454i	−0.0425244	−	0.0138170i
$118$	0.255562	−	1.03183i	0.0235264	−	0.0949880i
$119$	−7.75065	−	5.63118i	−0.710501	−	0.516209i
$120$	−11.4637	+	6.70709i	−1.04649	+	0.612270i
$121$	7.76218	+	2.52208i	0.705652	+	0.229280i
$122$	17.3057	−	7.02329i	1.56679	−	0.635858i
$123$	8.50378	+	10.4162i	0.766760	+	0.939201i
$124$	8.08194	+	8.31719i	0.725780	+	0.746905i
$125$	−6.54159	+	9.06684i	−0.585098	+	0.810963i
$126$	−4.77736	+	1.93882i	−0.425601	+	0.172724i
$127$	−2.73983	−	17.2986i	−0.243121	−	1.53501i	−0.743226	−	0.669041i	$-0.766705\pi$
$127$	−2.73983	−	17.2986i	−0.243121	−	1.53501i	0.500105	−	0.865965i	$-0.333295\pi$
$128$	−9.93102	+	5.41986i	−0.877786	+	0.479052i
$129$	13.7449	−	7.00337i	1.21017	−	0.616612i
$130$	−1.08179	+	0.0785393i	−0.0948796	+	0.00688835i
$131$	−9.31490	+	6.76767i	−0.813847	+	0.591294i	−0.914943	−	0.403582i	$-0.867765\pi$
$131$	−9.31490	+	6.76767i	−0.813847	+	0.591294i	0.101097	+	0.994877i	$0.467765\pi$
$132$	0.101494	−	7.07525i	0.00883392	−	0.615821i
$133$	14.0236	+	2.22112i	1.21600	+	0.192596i
$134$	6.15239	+	3.83115i	0.531485	+	0.330961i
$135$	−7.09803	+	2.31497i	−0.610901	+	0.199241i
$136$	7.82117	+	6.97643i	0.670659	+	0.598224i
$137$		−	11.8267i		−	1.01042i	−0.862997	−	0.505210i	$-0.831415\pi$
$137$		−	11.8267i		−	1.01042i	0.862997	−	0.505210i	$-0.168585\pi$
$138$	−3.03659	−	5.03598i	−0.258491	−	0.428691i
$139$	−4.14273	−	12.7500i	−0.351382	−	1.08144i	−0.958078	−	0.286508i	$-0.907505\pi$
$139$	−4.14273	−	12.7500i	−0.351382	−	1.08144i	0.606696	−	0.794934i	$-0.292495\pi$
$140$	−8.28355	+	8.06709i	−0.700088	+	0.681793i
$141$	−0.223614	+	0.688214i	−0.0188317	+	0.0579581i
$142$	0.623551	−	7.25715i	0.0523272	−	0.609006i
$143$	0.262342	−	0.514874i	0.0219381	−	0.0430560i
$144$	5.41198	−	1.58835i	0.450998	−	0.132362i
$145$	−3.85638	+	1.97030i	−0.320255	+	0.163624i
$146$	7.62444	−	8.79850i	0.631003	−	0.728169i
$147$	0.535589	−	0.389128i	0.0441747	−	0.0320948i
$148$	−11.5137	+	3.55928i	−0.946423	+	0.292571i
$149$	2.41466	+	15.2455i	0.197816	+	1.24896i	0.864121	+	0.503284i	$0.167875\pi$
$149$	2.41466	+	15.2455i	0.197816	+	1.24896i	−0.666305	+	0.745680i	$0.732125\pi$
$150$	11.3392	−	9.58775i	0.925844	−	0.782837i
$151$	−0.318835	−	0.625749i	−0.0259464	−	0.0509227i	0.877669	−	0.479266i	$-0.159097\pi$
$151$	−0.318835	−	0.625749i	−0.0259464	−	0.0509227i	−0.903616	+	0.428344i	$0.859097\pi$
$152$	−15.0219	−	3.95009i	−1.21843	−	0.320395i
$153$	−3.07110	−	4.22701i	−0.248284	−	0.341734i
$154$	−1.39506	−	6.00011i	−0.112417	−	0.483503i
$155$	−10.4981	−	7.60961i	−0.843230	−	0.611218i
$156$	1.41947	+	0.245742i	0.113649	+	0.0196751i
$157$	−1.11585	−	3.43424i	−0.0890547	−	0.274082i	0.896604	−	0.442833i	$-0.146027\pi$
$157$	−1.11585	−	3.43424i	−0.0890547	−	0.274082i	−0.985659	+	0.168751i	$0.946027\pi$
$158$	4.51092	+	3.90898i	0.358869	+	0.310982i
$159$	3.48361	−	4.79478i	0.276268	−	0.380251i
$160$	9.89809	−	7.87577i	0.782513	−	0.622634i
$161$	−3.62005	−	3.62005i	−0.285300	−	0.285300i
$162$	15.8580	−	1.13368i	1.24592	−	0.0890700i
$163$	−6.74321	+	6.74321i	−0.528169	+	0.528169i	−0.920026	−	0.391857i	$-0.871833\pi$
$163$	−6.74321	+	6.74321i	−0.528169	+	0.528169i	0.391857	+	0.920026i	$0.371833\pi$
$164$	−9.42758	−	8.66722i	−0.736171	−	0.676796i
$165$	1.24622	+	7.81241i	0.0970183	+	0.608195i
$166$	4.46579	−	5.15346i	0.346613	−	0.399986i
$167$			4.00341i			0.309793i	0.987931	+	0.154896i	$0.0495044\pi$
$167$			4.00341i			0.309793i	−0.987931	+	0.154896i	$0.950496\pi$
$168$	13.2637	−	7.74051i	1.02332	−	0.597193i
$169$	−10.4220	−	7.57206i	−0.801696	−	0.582466i
$170$	−9.95355	−	6.18291i	−0.763403	−	0.474207i
$171$	6.89947	+	3.51546i	0.527616	+	0.268834i
$172$	−12.0084	+	8.46411i	−0.915629	+	0.645382i
$173$	−1.69388	+	1.69388i	−0.128784	+	0.128784i	−0.768561	−	0.639777i	$-0.779027\pi$
$173$	−1.69388	+	1.69388i	−0.128784	+	0.128784i	0.639777	+	0.768561i	$0.279027\pi$
$174$	5.60227	−	1.30256i	0.424707	−	0.0987470i
$175$	7.57541	−	10.4753i	0.572647	−	0.791859i
$176$	0.862854	+	6.68351i	0.0650401	+	0.503789i
$177$	0.487784	−	1.50124i	0.0366641	−	0.112840i
$178$	13.9130	+	5.88022i	1.04283	+	0.440741i
$179$	24.7593	−	3.92149i	1.85060	−	0.293106i	0.870581	−	0.492026i	$-0.163743\pi$
$179$	24.7593	−	3.92149i	1.85060	−	0.293106i	0.980016	+	0.198920i	$0.0637435\pi$
$180$	−5.65608	+	2.78823i	−0.421579	+	0.207822i
$181$	−3.78896	+	23.9225i	−0.281631	+	1.77815i	0.289388	+	0.957212i	$0.406548\pi$
$181$	−3.78896	+	23.9225i	−0.281631	+	1.77815i	−0.571019	+	0.820937i	$0.693452\pi$
$182$	1.25094	−	0.0894289i	0.0927260	−	0.00662891i
$183$	26.3761	−	8.57013i	1.94978	−	0.633522i
$184$	3.54482	+	4.33598i	0.261327	+	0.319652i
$185$	11.9985	−	6.13025i	0.882144	−	0.450705i
$186$	11.0899	+	13.1748i	0.813153	+	0.966024i
$187$	5.56228	−	2.83412i	0.406754	−	0.207252i
$188$	0.117562	−	0.679067i	0.00857408	−	0.0495260i
$189$	8.21016	−	2.66764i	0.597201	−	0.194042i
$190$	17.3038	+	1.46750i	1.25535	+	0.106464i
$191$	−6.92705	−	6.92705i	−0.501224	−	0.501224i	0.410594	−	0.911818i	$-0.365321\pi$
$191$	−6.92705	−	6.92705i	−0.501224	−	0.501224i	−0.911818	+	0.410594i	$0.865321\pi$
$192$	−15.2833	+	6.97609i	−1.10297	+	0.503456i
$193$	5.35937	−	7.37655i	0.385776	−	0.530975i	−0.571327	−	0.820722i	$-0.693571\pi$
$193$	5.35937	−	7.37655i	0.385776	−	0.530975i	0.957103	+	0.289747i	$0.0935712\pi$
$194$	10.1413	−	16.2857i	0.728101	−	1.16925i
$195$	−1.61062	+	0.00178132i	−0.115339	+	0.000127563i
$196$	−0.452176	+	0.439387i	−0.0322983	+	0.0313848i
$197$	16.6243	+	2.63303i	1.18443	+	0.187596i	0.717411	−	0.696651i	$-0.245327\pi$
$197$	16.6243	+	2.63303i	1.18443	+	0.187596i	0.467021	+	0.884246i	$0.345327\pi$
$198$	0.287605	−	3.34726i	0.0204392	−	0.237880i
$199$	−5.92029	−	11.6192i	−0.419678	−	0.823665i	−0.999957	−	0.00924711i	$-0.997057\pi$
$199$	−5.92029	−	11.6192i	−0.419678	−	0.823665i	0.580279	−	0.814418i	$-0.302943\pi$
$200$	−9.39045	+	10.5745i	−0.664005	+	0.747728i
$201$	8.70697	+	6.32598i	0.614142	+	0.446200i
$202$	−8.21927	−	3.47380i	−0.578306	−	0.244416i
$203$	4.46152	−	2.27326i	0.313137	−	0.159551i
$204$	10.8456	+	11.1613i	0.759347	+	0.781450i
$205$	12.0474	+	7.73686i	0.841430	+	0.540366i
$206$	−0.148266	+	0.350807i	−0.0103302	+	0.0244419i
$207$	−1.26757	−	2.48775i	−0.0881023	−	0.172910i
$208$	−1.37141	−	0.0393537i	−0.0950902	−	0.00272869i
$209$	−5.43813	+	7.48495i	−0.376164	+	0.517745i
$210$	−13.1234	+	11.0715i	−0.905601	+	0.764005i
$211$	14.5409	−	7.40894i	1.00103	−	0.510052i	0.124925	−	0.992166i	$-0.460131\pi$
$211$	14.5409	−	7.40894i	1.00103	−	0.510052i	0.876109	+	0.482114i	$0.160131\pi$
$212$	−2.63438	+	4.99193i	−0.180930	+	0.342847i
$213$	1.69201	−	10.6829i	0.115935	−	0.731982i
$214$	9.15629	−	21.6645i	0.625911	−	1.48095i
$215$	11.6018	−	11.6275i	0.791239	−	0.792991i
$216$	−9.22819	+	2.00654i	−0.627899	+	0.136528i
$217$	12.1289	+	8.81215i	0.823362	+	0.598208i
$218$	13.0022	+	11.2672i	0.880622	+	0.763112i
$219$	12.2246	−	12.2246i	0.826063	−	0.826063i
$220$	−2.23320	−	7.19584i	−0.150562	−	0.485143i
$221$	0.392741	+	1.20873i	0.0264186	+	0.0813082i
$222$	−17.4305	+	4.05270i	−1.16986	+	0.271999i
$223$	9.22759	+	18.1102i	0.617925	+	1.21275i	0.961806	+	0.273733i	$0.0882583\pi$
$223$	9.22759	+	18.1102i	0.617925	+	1.21275i	−0.343881	+	0.939013i	$0.611742\pi$
$224$	−11.4549	+	9.09382i	−0.765362	+	0.607606i
$225$	5.69464	−	4.15667i	0.379643	−	0.277112i
$226$	−22.9752	−	1.97409i	−1.52829	−	0.131314i
$227$	3.01192	+	9.26974i	0.199908	+	0.615255i	0.999884	+	0.0152223i	$0.00484560\pi$
$227$	3.01192	+	9.26974i	0.199908	+	0.615255i	−0.799976	+	0.600032i	$0.795154\pi$
$228$	−21.8314	−	7.44131i	−1.44582	−	0.492813i
$229$	−17.8296	−	2.82393i	−1.17821	−	0.186610i	−0.463544	−	0.886074i	$-0.653422\pi$
$229$	−17.8296	−	2.82393i	−1.17821	−	0.186610i	−0.714668	+	0.699464i	$0.753422\pi$
$230$	−4.73663	−	4.09541i	−0.312324	−	0.270043i
$231$	−1.43097	−	9.03481i	−0.0941511	−	0.594447i
$232$	−5.10473	+	1.98689i	−0.335142	+	0.130446i
$233$	7.93816	+	2.57927i	0.520046	+	0.168973i	0.557266	−	0.830334i	$-0.311850\pi$
$233$	7.93816	+	2.57927i	0.520046	+	0.168973i	−0.0372200	+	0.999307i	$0.511850\pi$
$234$	0.663913	+	0.164436i	0.0434014	+	0.0107495i
$235$	0.000852174		0.770513i	5.55897e−5		0.0502627i
$236$	−0.256445	+	1.48129i	−0.0166932	+	0.0964238i
$237$	6.26745	+	6.26745i	0.407115	+	0.407115i
$238$	11.5010	+	7.16181i	0.745502	+	0.464231i
$239$	−3.49770	+	6.86461i	−0.226247	+	0.444035i	−0.976026	−	0.217653i	$-0.930160\pi$
$239$	−3.49770	+	6.86461i	−0.226247	+	0.444035i	0.749779	+	0.661688i	$0.230160\pi$
$240$	15.4945	−	10.6172i	1.00017	−	0.685334i
$241$	−10.3660	+	14.2675i	−0.667730	+	0.919051i	−0.999706	−	0.0242366i	$-0.992285\pi$
$241$	−10.3660	+	14.2675i	−0.667730	+	0.919051i	0.331977	+	0.943288i	$0.392285\pi$
$242$	−11.2038	−	2.77492i	−0.720205	−	0.178379i
$243$	13.5915			0.871895
$244$	−23.7034	+	11.6523i	−1.51746	+	0.745963i
$245$	0.413708	−	0.570746i	0.0264308	−	0.0364636i
$246$	−13.0460	−	13.8357i	−0.831780	−	0.882135i
$247$	−1.33189	−	1.33189i	−0.0847461	−	0.0847461i
$248$	−12.2392	−	10.9173i	−0.777192	−	0.693251i
$249$	7.16021	−	7.16021i	0.453760	−	0.453760i
$250$	8.31332	−	13.4495i	0.525781	−	0.850620i
$251$	−9.97517	−	7.24738i	−0.629627	−	0.457451i	0.226644	−	0.973978i	$-0.427225\pi$
$251$	−9.97517	−	7.24738i	−0.629627	−	0.457451i	−0.856271	+	0.516527i	$0.827225\pi$
$252$	6.54349	−	3.21670i	0.412201	−	0.202633i
$253$	3.17269	−	1.03087i	0.199465	−	0.0648102i
$254$	5.60931	+	24.1254i	0.351959	+	1.51376i
$255$	−14.0881	−	10.2118i	−0.882229	−	0.639487i
$256$	13.4623	−	8.64681i	0.841392	−	0.540425i
$257$	−2.55015	+	1.85279i	−0.159074	+	0.115574i	−0.664475	−	0.747311i	$-0.731345\pi$
$257$	−2.55015	+	1.85279i	−0.159074	+	0.115574i	0.505401	+	0.862885i	$0.331345\pi$
$258$	−18.6825	+	11.2651i	−1.16312	+	0.701336i
$259$	−13.8812	+	7.07285i	−0.862538	+	0.439485i
$260$	1.51807	−	0.219881i	0.0941469	−	0.0136364i
$261$	2.69722	−	0.427198i	0.166954	−	0.0264429i
$262$	12.4572	−	10.4859i	0.769611	−	0.647822i
$263$	6.03076	+	8.30063i	0.371873	+	0.511839i	0.953409	−	0.301682i	$-0.0975480\pi$
$263$	6.03076	+	8.30063i	0.371873	+	0.511839i	−0.581536	+	0.813521i	$0.697548\pi$
$264$	0.570325	+	9.99068i	0.0351011	+	0.614884i
$265$	1.94346	−	6.00393i	0.119386	−	0.368818i
$266$	−20.0059	−	1.71895i	−1.22664	−	0.105396i
$267$	19.9847	+	10.1827i	1.22304	+	0.623173i
$268$	−9.06499	−	4.78384i	−0.553732	−	0.292220i
$269$	−17.0156	−	5.52869i	−1.03746	−	0.337090i	−0.259723	−	0.965683i	$-0.583631\pi$
$269$	−17.0156	−	5.52869i	−1.03746	−	0.337090i	−0.777735	+	0.628593i	$0.783631\pi$
$270$	9.77912	−	3.98132i	0.595138	−	0.242295i
$271$	−14.4778	+	4.70412i	−0.879464	+	0.285755i	−0.713735	−	0.700416i	$-0.752998\pi$
$271$	−14.4778	+	4.70412i	−0.879464	+	0.285755i	−0.165729	+	0.986171i	$0.552998\pi$
$272$	−11.7362	−	9.05234i	−0.711610	−	0.548879i
$273$	1.86231			0.112712
$274$	1.19264	+	16.6828i	0.0720503	+	1.00785i
$275$	3.84088	+	7.49712i	0.231614	+	0.452093i
$276$	4.79130	+	6.79760i	0.288402	+	0.409167i
$277$	4.07152	−	25.7065i	0.244634	−	1.54456i	−0.493406	−	0.869799i	$-0.664248\pi$
$277$	4.07152	−	25.7065i	0.244634	−	1.54456i	0.738039	−	0.674758i	$-0.235752\pi$
$278$	7.12955	+	17.5676i	0.427602	+	1.05363i
$279$	4.80593	+	6.61479i	0.287723	+	0.396017i
$280$	10.8714	−	12.2149i	0.649689	−	0.729979i
$281$	−7.78213	−	15.2733i	−0.464243	−	0.911128i	−0.997859	−	0.0654015i	$-0.979167\pi$
$281$	−7.78213	−	15.2733i	−0.464243	−	0.911128i	0.533616	−	0.845727i	$-0.320833\pi$
$282$	0.246031	−	0.993355i	0.0146510	−	0.0591534i
$283$	−1.73768	+	0.275221i	−0.103294	+	0.0163602i	−0.207868	−	0.978157i	$-0.566652\pi$
$283$	−1.73768	+	0.275221i	−0.103294	+	0.0163602i	0.104573	+	0.994517i	$0.466652\pi$
$284$	−0.147752	+	10.2999i	−0.00876745	+	0.611187i
$285$	25.4742	+	4.00584i	1.50896	+	0.237285i
$286$	−0.318141	+	0.752744i	−0.0188121	+	0.0445107i
$287$	−13.9201	−	8.96127i	−0.821680	−	0.528967i
$288$	−7.47404	+	2.78631i	−0.440412	+	0.164185i
$289$	1.01044	−	3.10980i	0.0594374	−	0.182930i
$290$	5.24117	−	3.16822i	0.307772	−	0.186044i
$291$	16.7452	−	23.0478i	0.981622	−	1.35109i
$292$	−9.86786	+	13.1802i	−0.577473	+	0.771310i
$293$	−8.77987	+	27.0216i	−0.512925	+	1.57862i	0.274100	+	0.961701i	$0.411620\pi$
$293$	−8.77987	+	27.0216i	−0.512925	+	1.57862i	−0.787026	+	0.616920i	$0.788380\pi$
$294$	−0.716268	+	0.602921i	−0.0417736	+	0.0351630i
$295$	−0.00185890	−	1.68077i	−0.000108229	−	0.0978581i
$296$	15.8825	−	6.18186i	0.923151	−	0.359313i
$297$	−0.879973	+	5.55593i	−0.0510612	+	0.322388i
$298$	−4.94357	−	21.2621i	−0.286373	−	1.23168i
$299$	0.106244	+	0.670801i	0.00614427	+	0.0387934i
$300$	−15.0284	+	14.6681i	−0.867665	+	0.846863i
$301$	−13.4297	+	13.4297i	−0.774074	+	0.774074i
$302$	0.512856	+	0.850537i	0.0295115	+	0.0489429i
$303$	−11.8062	−	6.01555i	−0.678247	−	0.345584i
$304$	21.5884	+	4.05720i	1.23818	+	0.232696i
$305$	23.8713	−	17.3839i	1.36687	−	0.995398i
$306$	4.75841	+	5.65298i	0.272020	+	0.323159i
$307$	2.04057	+	1.03972i	0.116462	+	0.0593402i	0.511251	−	0.859432i	$-0.329182\pi$
$307$	2.04057	+	1.03972i	0.116462	+	0.0593402i	−0.394789	+	0.918772i	$0.629182\pi$
$308$	2.57297	+	8.32315i	0.146609	+	0.474256i
$309$	−0.256750	+	0.503901i	−0.0146060	+	0.0286659i
$310$	15.5762	+	9.67555i	0.884667	+	0.549534i
$311$	12.8133	+	2.02943i	0.726576	+	0.115078i	0.508756	−	0.860911i	$-0.330105\pi$
$311$	12.8133	+	2.02943i	0.726576	+	0.115078i	0.217820	+	0.975989i	$0.430105\pi$
$312$	−2.02710	−	0.203503i	−0.114762	−	0.0115211i
$313$	−7.50409	−	5.45204i	−0.424156	−	0.308168i	0.355152	−	0.934809i	$-0.384429\pi$
$313$	−7.50409	−	5.45204i	−0.424156	−	0.308168i	−0.779308	+	0.626641i	$0.784429\pi$
$314$	1.92036	+	4.73186i	0.108372	+	0.267034i
$315$	−6.58983	+	4.79893i	−0.371295	+	0.270389i
$316$	−6.75736	−	5.05917i	−0.380131	−	0.284600i
$317$	−7.40046	+	5.37675i	−0.415651	+	0.301988i	−0.775886	−	0.630874i	$-0.782697\pi$
$317$	−7.40046	+	5.37675i	−0.415651	+	0.301988i	0.360235	+	0.932862i	$0.382697\pi$
$318$	−4.43050	+	7.11488i	−0.248450	+	0.398982i
$319$			3.26282i			0.182683i
$320$	−13.1682	+	12.1078i	−0.736123	+	0.676848i
$321$	15.8559	−	31.1189i	0.884988	−	1.73689i
$322$	5.47156	+	4.74144i	0.304918	+	0.264230i
$323$	−3.18322	−	20.0981i	−0.177119	−	1.11829i
$324$	−22.2552	+	3.19836i	−1.23640	+	0.177687i
$325$	−1.62986	+	0.533561i	−0.0904082	+	0.0295966i
$326$	8.83206	−	10.1921i	0.489162	−	0.564487i
$327$	18.0653	+	18.0653i	0.999011	+	0.999011i
$328$	14.1727	+	11.2754i	0.782557	+	0.622579i
$329$		−	0.890918i		−	0.0491179i
$330$	−2.54577	−	10.8946i	−0.140140	−	0.599729i
$331$	−19.3580	+	19.3580i	−1.06401	+	1.06401i	−0.0662078	+	0.997806i	$0.521090\pi$
$331$	−19.3580	+	19.3580i	−1.06401	+	1.06401i	−0.997806	+	0.0662078i	$0.978910\pi$
$332$	−5.77981	+	7.71989i	−0.317208	+	0.423684i
$333$	−8.39195	+	1.32915i	−0.459876	+	0.0728372i
$334$	−0.403718	−	5.64726i	−0.0220905	−	0.309004i
$335$	10.9027	+	3.52918i	0.595678	+	0.192819i
$336$	−17.9294	+	12.2564i	−0.978128	+	0.668643i
$337$	−9.74990	−	9.74990i	−0.531111	−	0.531111i	0.389792	−	0.920903i	$-0.372547\pi$
$337$	−9.74990	−	9.74990i	−0.531111	−	0.531111i	−0.920903	+	0.389792i	$0.872547\pi$
$338$	15.4651	+	9.63025i	0.841189	+	0.523817i
$339$	−33.8208	−	5.35670i	−1.83690	−	0.290936i
$340$	14.6641	+	7.71794i	0.795274	+	0.418564i
$341$	−8.70433	+	4.43508i	−0.471366	+	0.240173i
$342$	−10.0870	−	4.26318i	−0.545443	−	0.230527i
$343$	−11.1171	+	15.3013i	−0.600265	+	0.826194i
$344$	16.0856	−	13.1506i	0.867278	−	0.709031i
$345$	−6.58203	−	6.56748i	−0.354364	−	0.353581i
$346$	2.21860	−	2.56023i	0.119273	−	0.137639i
$347$	−5.01395	−	15.4314i	−0.269163	−	0.828399i	−0.990705	−	0.136028i	$-0.956566\pi$
$347$	−5.01395	−	15.4314i	−0.269163	−	0.828399i	0.721542	−	0.692371i	$-0.243434\pi$
$348$	−7.77128	+	2.40237i	−0.416584	+	0.128780i
$349$	−6.57712	−	20.2423i	−0.352065	−	1.08355i	−0.957692	−	0.287796i	$-0.907077\pi$
$349$	−6.57712	−	20.2423i	−0.352065	−	1.08355i	0.605626	−	0.795749i	$-0.292923\pi$
$350$	−9.62961	+	15.5405i	−0.514724	+	0.830677i
$351$	−1.08917	−	0.353892i	−0.0581355	−	0.0188894i
$352$	−1.89114	−	9.34084i	−0.100798	−	0.497868i
$353$	−5.73557	+	11.2567i	−0.305274	+	0.599133i	−0.991775	−	0.127995i	$-0.959146\pi$
$353$	−5.73557	+	11.2567i	−0.305274	+	0.599133i	0.686501	+	0.727129i	$0.259146\pi$
$354$	−0.536684	+	2.16687i	−0.0285244	+	0.115168i
$355$	−1.81421	−	11.3730i	−0.0962882	−	0.603618i
$356$	−20.2189	−	6.89168i	−1.07160	−	0.365258i
$357$	16.2765	+	11.8256i	0.861443	+	0.625875i
$358$	−34.5303	+	8.02852i	−1.82498	+	0.424320i
$359$	−20.0090	+	14.5374i	−1.05604	+	0.767256i	−0.973351	−	0.229320i	$-0.926350\pi$
$359$	−20.0090	+	14.5374i	−1.05604	+	0.767256i	−0.0826856	+	0.996576i	$0.526350\pi$
$360$	7.69737	−	4.50349i	0.405687	−	0.237355i
$361$	6.55816	+	9.02653i	0.345166	+	0.475081i
$362$	2.93232	−	34.1276i	0.154119	−	1.79370i
$363$	−16.3007	−	5.29641i	−0.855564	−	0.277990i
$364$	−1.75558	+	0.252299i	−0.0920172	+	0.0132241i
$365$	8.33903	−	16.4111i	0.436485	−	0.858997i
$366$	−36.3423	+	14.7490i	−1.89964	+	0.770943i
$367$	7.04995	+	13.8363i	0.368005	+	0.722250i	0.998546	−	0.0539059i	$-0.0171671\pi$
$367$	7.04995	+	13.8363i	0.368005	+	0.722250i	−0.630541	+	0.776156i	$0.717167\pi$
$368$	−5.43762	−	5.75891i	−0.283456	−	0.300204i
$369$	−5.70989	−	6.99402i	−0.297245	−	0.364094i
$370$	−16.3070	+	9.85738i	−0.847760	+	0.512461i
$371$	−2.25483	+	6.93965i	−0.117065	+	0.360289i
$372$	−16.9722	−	17.4662i	−0.879967	−	0.905581i
$373$	3.21817	+	20.3187i	0.166630	+	1.05206i	0.919269	+	0.393629i	$0.128781\pi$
$373$	3.21817	+	20.3187i	0.166630	+	1.05206i	−0.752639	+	0.658433i	$0.771219\pi$
$374$	−7.56042	+	4.55877i	−0.390940	+	0.235729i
$375$	13.7374	−	19.0405i	0.709398	−	0.983247i
$376$	−0.0973548	+	0.969756i	−0.00502069	+	0.0500114i
$377$	−0.656093	−	0.103915i	−0.0337905	−	0.00535189i
$378$	−11.3123	+	4.59096i	−0.581844	+	0.236133i
$379$	26.9358	−	19.5700i	1.38360	−	1.00524i	0.387067	−	0.922052i	$-0.373488\pi$
$379$	26.9358	−	19.5700i	1.38360	−	1.00524i	0.996533	−	0.0831929i	$-0.0265118\pi$
$380$	−24.5569	−	0.325103i	−1.25974	−	0.0166774i
$381$	5.75369	+	36.3274i	0.294771	+	1.86111i
$382$	10.4699	+	9.07285i	0.535689	+	0.464207i
$383$		−	0.951132i		−	0.0486006i	−0.999705	−	0.0243003i	$-0.992264\pi$
$383$		−	0.951132i		−	0.0486006i	0.999705	−	0.0243003i	$-0.00773578\pi$
$384$	20.8553	−	11.3818i	1.06427	−	0.580824i
$385$	−4.43149	−	8.67356i	−0.225850	−	0.442046i
$386$	−6.81613	+	10.9459i	−0.346932	+	0.557132i
$387$	−9.22905	+	4.70243i	−0.469139	+	0.239038i
$388$	−12.6631	+	23.9955i	−0.642871	+	1.21819i
$389$	−11.0200	−	33.9162i	−0.558739	−	1.71962i	−0.685860	−	0.727734i	$-0.740574\pi$
$389$	−11.0200	−	33.9162i	−0.558739	−	1.71962i	0.127121	−	0.991887i	$-0.459426\pi$
$390$	2.27178	−	0.164934i	0.115036	−	0.00835174i
$391$	−3.33098	+	6.53742i	−0.168455	+	0.330611i
$392$	0.593537	−	0.665404i	0.0299781	−	0.0336080i
$393$	19.5614	−	14.2122i	0.986743	−	0.716911i
$394$	−23.7160	−	2.03773i	−1.19479	−	0.102659i
$395$	8.41384	+	4.27535i	0.423346	+	0.215116i
$396$	−0.0681485	+	4.75070i	−0.00342459	+	0.238732i
$397$	1.16655	−	3.59026i	0.0585473	−	0.180190i	−0.917506	−	0.397722i	$-0.869801\pi$
$397$	1.16655	−	3.59026i	0.0585473	−	0.180190i	0.976053	+	0.217532i	$0.0698008\pi$
$398$	9.52297	+	15.7932i	0.477343	+	0.791642i
$399$	−29.4498	−	4.66439i	−1.47433	−	0.233511i
$400$	12.1799	−	15.8635i	0.608996	−	0.793173i
$401$			11.2053i			0.559564i	0.960064	+	0.279782i	$0.0902621\pi$
$401$			11.2053i			0.559564i	−0.960064	+	0.279782i	$0.909738\pi$
$402$	−12.9201	−	8.04547i	−0.644396	−	0.401272i
$403$	−0.614595	−	1.89153i	−0.0306152	−	0.0942238i
$404$	11.9445	+	4.07133i	0.594262	+	0.202556i
$405$	23.8987	−	7.79441i	1.18754	−	0.387307i
$406$	−6.06423	+	3.65660i	−0.300963	+	0.181474i
$407$		−	10.1517i		−	0.503201i
$408$	−16.4246	−	14.6506i	−0.813137	−	0.725313i
$409$		−	1.00084i		−	0.0494885i	−0.999694	−	0.0247442i	$-0.992123\pi$
$409$		−	1.00084i		−	0.0494885i	0.999694	−	0.0247442i	$-0.00787714\pi$
$410$	−17.7745	−	9.69882i	−0.877820	−	0.478990i
$411$			24.8362i			1.22508i
$412$	0.173769	−	0.509805i	0.00856098	−	0.0251163i
$413$			1.94341i			0.0956292i
$414$	2.03893	+	3.38142i	0.100208	+	0.166188i
$415$	4.88434	−	9.61233i	0.239763	−	0.471851i
$416$	1.93850	−	0.0827853i	0.0950427	−	0.00405888i
$417$	8.69980	+	26.7752i	0.426031	+	1.31119i
$418$	6.91629	−	11.1068i	0.338287	−	0.543250i
$419$			19.9788i			0.976027i	0.872836	+	0.488013i	$0.162278\pi$
$419$			19.9788i			0.976027i	−0.872836	+	0.488013i	$0.837722\pi$
$420$	17.3956	−	16.9410i	0.848817	−	0.826636i
$421$	−22.6631	−	3.58949i	−1.10453	−	0.174941i	−0.422573	−	0.906329i	$-0.638873\pi$
$421$	−22.6631	−	3.58949i	−1.10453	−	0.174941i	−0.681962	+	0.731388i	$0.738873\pi$
$422$	−19.7644	+	11.9175i	−0.962115	+	0.580135i
$423$	0.150147	−	0.462104i	0.00730038	−	0.0224683i
$424$	3.21269	−	7.30735i	0.156022	−	0.354876i
$425$	−17.6330	−	5.68620i	−0.855324	−	0.275821i
$426$	−1.30947	+	15.2401i	−0.0634438	+	0.738386i
$427$	−27.6238	+	20.0698i	−1.33681	+	0.971248i
$428$	−10.7313	+	31.4835i	−0.518715	+	1.52181i
$429$	−0.550921	+	1.08124i	−0.0265987	+	0.0522029i
$430$	−15.1932	+	17.5719i	−0.732679	+	0.847394i
$431$	7.58360	+	23.3399i	0.365289	+	1.12425i	0.949800	+	0.312859i	$0.101287\pi$
$431$	7.58360	+	23.3399i	0.365289	+	1.12425i	−0.584510	+	0.811386i	$0.698713\pi$
$432$	12.8151	−	3.76106i	0.616565	−	0.180954i
$433$	−12.9960	+	6.62178i	−0.624547	+	0.318222i	−0.737469	−	0.675381i	$-0.763979\pi$
$433$	−12.9960	+	6.62178i	−0.624547	+	0.318222i	0.112922	+	0.993604i	$0.463979\pi$
$434$	−17.9978	−	11.2074i	−0.863923	−	0.537973i
$435$	8.09846	−	4.13766i	0.388291	−	0.198386i
$436$	−19.4773	−	14.5825i	−0.932795	−	0.698375i
$437$		−	10.8739i		−	0.520168i
$438$	−16.0114	+	18.4770i	−0.765056	+	0.882864i
$439$	6.35765	+	40.1406i	0.303434	+	1.91581i	0.392443	+	0.919776i	$0.371630\pi$
$439$	6.35765	+	40.1406i	0.303434	+	1.91581i	−0.0890090	+	0.996031i	$0.528370\pi$
$440$	3.87584	+	9.92535i	0.184773	+	0.473172i
$441$	−0.359623	+	0.261282i	−0.0171249	+	0.0124420i
$442$	−0.675899	−	1.66545i	−0.0321492	−	0.0792174i
$443$	−12.3890	−	1.96222i	−0.588617	−	0.0932278i	−0.144980	−	0.989435i	$-0.546312\pi$
$443$	−12.3890	−	1.96222i	−0.588617	−	0.0932278i	−0.443637	+	0.896207i	$0.646312\pi$
$444$	24.1790	−	7.47455i	1.14748	−	0.354726i
$445$	23.5926	+	3.70996i	1.11840	+	0.175869i
$446$	−14.8429	−	24.6159i	−0.702829	−	1.16560i
$447$	−5.07082	−	32.0159i	−0.239841	−	1.51430i
$448$	15.2414	−	13.9830i	0.720087	−	0.660635i
$449$	0.541758	−	1.66736i	0.0255671	−	0.0786875i	−0.937459	−	0.348096i	$-0.886828\pi$
$449$	0.541758	−	1.66736i	0.0255671	−	0.0786875i	0.963026	+	0.269409i	$0.0868282\pi$
$450$	−7.61376	+	6.43773i	−0.358916	+	0.303477i
$451$	9.32082	−	5.43096i	0.438900	−	0.255734i
$452$	32.6083	+	0.467764i	1.53376	+	0.0220017i
$453$	0.669558	+	1.31408i	0.0314586	+	0.0617410i
$454$	−5.18345	−	12.7723i	−0.243272	−	0.599433i
$455$	1.88523	−	0.614854i	0.0883809	−	0.0288248i
$456$	31.5461	+	8.29526i	1.47728	+	0.388461i
$457$	14.8780	+	4.83414i	0.695962	+	0.226132i	0.635570	−	0.772043i	$-0.280765\pi$
$457$	14.8780	+	4.83414i	0.695962	+	0.226132i	0.0603917	+	0.998175i	$0.480765\pi$
$458$	25.4354	+	2.18547i	1.18852	+	0.102120i
$459$	−7.27209	−	10.0092i	−0.339432	−	0.467188i
$460$	7.09454	+	5.29938i	0.330785	+	0.247085i
$461$	23.8229	−	17.3083i	1.10954	−	0.806130i	0.126951	−	0.991909i	$-0.459481\pi$
$461$	23.8229	−	17.3083i	1.10954	−	0.806130i	0.982592	+	0.185779i	$0.0594809\pi$
$462$	2.92965	+	12.6003i	0.136300	+	0.586220i
$463$	4.37375	+	3.17772i	0.203265	+	0.147681i	0.684761	−	0.728767i	$-0.259906\pi$
$463$	4.37375	+	3.17772i	0.203265	+	0.147681i	−0.481496	+	0.876448i	$0.659906\pi$
$464$	7.00044	−	3.31751i	0.324987	−	0.154012i
$465$	22.0462	+	15.9803i	1.02237	+	0.741068i
$466$	−11.4578	−	2.83783i	−0.530772	−	0.131460i
$467$	−0.286197	+	0.561693i	−0.0132436	+	0.0259921i	−0.897534	−	0.440946i	$-0.854643\pi$
$467$	−0.286197	+	0.561693i	−0.0132436	+	0.0259921i	0.884290	+	0.466938i	$0.154643\pi$
$468$	−0.953107	−	0.165005i	−0.0440574	−	0.00762734i
$469$	−12.6019	−	4.09460i	−0.581902	−	0.189071i
$470$	−0.0789034	−	1.08681i	−0.00363954	−	0.0501308i
$471$	2.34331	+	7.21196i	0.107974	+	0.332309i
$472$	0.212366	−	2.11539i	0.00977494	−	0.0973687i
$473$	−3.82432	−	11.7701i	−0.175842	−	0.541187i
$474$	−9.47299	−	8.20892i	−0.435109	−	0.377048i
$475$	27.1103	−	4.35534i	1.24390	−	0.199837i
$476$	−16.9457	−	8.94274i	−0.776707	−	0.409890i
$477$	−2.33908	+	3.21947i	−0.107099	+	0.147409i
$478$	4.24164	−	10.0360i	0.194008	−	0.459038i
$479$	−25.8461	+	13.1693i	−1.18094	+	0.601719i	−0.930456	−	0.366403i	$-0.880589\pi$
$479$	−25.8461	+	13.1693i	−1.18094	+	0.601719i	−0.250483	+	0.968121i	$0.580589\pi$
$480$	−20.7861	+	16.5392i	−0.948753	+	0.754909i
$481$	2.04132	+	0.323313i	0.0930762	+	0.0147418i
$482$	13.1836	−	21.1713i	0.600495	−	0.964326i
$483$	7.60217	+	7.60217i	0.345911	+	0.345911i
$484$	16.0840	+	2.78451i	0.731092	+	0.126569i
$485$	9.34192	−	28.8600i	0.424195	−	1.31047i
$486$	−19.1723	+	1.37062i	−0.869675	+	0.0621724i
$487$	35.0876	−	5.55732i	1.58997	−	0.251826i	0.702153	−	0.712026i	$-0.252222\pi$
$487$	35.0876	−	5.55732i	1.58997	−	0.251826i	0.887816	+	0.460199i	$0.152222\pi$
$488$	32.2613	−	18.8273i	1.46040	−	0.852270i
$489$	14.1608	−	14.1608i	0.640376	−	0.640376i
$490$	−0.526026	+	0.846822i	−0.0237634	+	0.0382555i
$491$		−	36.2381i		−	1.63540i	−0.575641	−	0.817702i	$-0.695248\pi$
$491$		−	36.2381i		−	1.63540i	0.575641	−	0.817702i	$-0.304752\pi$
$492$	19.7981	+	18.2013i	0.892566	+	0.820577i
$493$	−5.07437	−	5.07437i	−0.228538	−	0.228538i
$494$	2.01309	+	1.74447i	0.0905734	+	0.0784874i
$495$	−0.836780	−	5.24567i	−0.0376105	−	0.235775i
$496$	18.3658	+	14.1659i	0.824647	+	0.636066i
$497$	2.08316	+	13.1526i	0.0934426	+	0.589973i
$498$	−9.37823	+	10.8223i	−0.420248	+	0.484961i
$499$	−0.869372	+	1.70624i	−0.0389184	+	0.0763817i	−0.909647	−	0.415382i	$-0.863648\pi$
$499$	−0.869372	+	1.70624i	−0.0389184	+	0.0763817i	0.870728	+	0.491764i	$0.163648\pi$
$500$	−10.3706	+	19.8104i	−0.463787	+	0.885947i
$501$		−	8.40721i		−	0.375606i
$502$	14.8020	+	9.21732i	0.660644	+	0.411389i
$503$	4.28649	−	3.11432i	0.191125	−	0.138861i	−0.488108	−	0.872783i	$-0.662313\pi$
$503$	4.28649	−	3.11432i	0.191125	−	0.138861i	0.679233	+	0.733923i	$0.262313\pi$
$504$	−8.90596	+	5.19739i	−0.396703	+	0.231510i
$505$	−13.9376	−	2.19169i	−0.620213	−	0.0975291i
$506$	−4.37148	+	1.77411i	−0.194336	+	0.0788686i
$507$	21.8864	+	15.9014i	0.972011	+	0.706207i
$508$	−10.3455	−	33.4659i	−0.459005	−	1.48481i
$509$	25.9315	+	4.10714i	1.14939	+	0.182046i	0.701923	−	0.712253i	$-0.252325\pi$
$509$	25.9315	+	4.10714i	1.14939	+	0.182046i	0.447470	+	0.894299i	$0.352325\pi$
$510$	20.9026	+	12.9842i	0.925583	+	0.574950i
$511$	−9.66312	+	18.9649i	−0.427471	+	0.838959i
$512$	−18.1181	+	13.5549i	−0.800714	+	0.599047i
$513$	16.3373	+	8.32427i	0.721310	+	0.367526i
$514$	3.41043	−	2.87074i	0.150428	−	0.126623i
$515$	−0.0935439	+	0.594870i	−0.00412204	+	0.0262131i
$516$	25.2177	−	17.7748i	1.11015	−	0.782490i
$517$	0.517261	+	0.263558i	0.0227491	+	0.0115913i
$518$	18.8678	−	11.3769i	0.829004	−	0.499872i
$519$	3.55718	−	3.55718i	0.156143	−	0.156143i
$520$	−2.11924	+	0.463255i	−0.0929349	+	0.0203151i
$521$	−1.57308	−	9.93201i	−0.0689177	−	0.435129i	−0.997887	−	0.0649727i	$-0.979304\pi$
$521$	−1.57308	−	9.93201i	−0.0689177	−	0.435129i	0.928969	−	0.370157i	$-0.120696\pi$
$522$	−3.76166	+	0.874610i	−0.164643	+	0.0382806i
$523$	−3.60429	+	22.7566i	−0.157605	+	0.995076i	0.774418	+	0.632675i	$0.218043\pi$
$523$	−3.60429	+	22.7566i	−0.157605	+	0.995076i	−0.932022	+	0.362401i	$0.881957\pi$
$524$	−16.5149	+	16.0478i	−0.721458	+	0.701052i
$525$	−15.9085	+	21.9983i	−0.694303	+	0.960084i
$526$	−9.34414	−	11.1008i	−0.407424	−	0.484019i
$527$	6.63958	−	20.4345i	0.289225	−	0.890142i
$528$	−1.81201	−	14.0355i	−0.0788574	−	0.610815i
$529$	11.2145	−	15.4354i	0.487586	−	0.671104i
$530$	−2.13601	+	8.66521i	−0.0927822	+	0.376393i
$531$	−0.327524	+	1.00802i	−0.0142133	+	0.0437442i
$532$	28.3939	+	0.407309i	1.23103	+	0.0176591i
$533$	0.795215	+	2.04721i	0.0344446	+	0.0886745i
$534$	−29.2176	−	12.3486i	−1.26437	−	0.534374i
$535$	5.77690	−	36.7368i	0.249757	−	1.58827i
$536$	13.2696	+	5.83401i	0.573160	+	0.251991i
$537$	−51.9949	+	8.23518i	−2.24374	+	0.355374i
$538$	24.5599	+	6.08294i	1.05885	+	0.262254i
$539$	−0.241120	−	0.473224i	−0.0103858	−	0.0203832i
$540$	−13.3931	+	6.60227i	−0.576346	+	0.284116i
$541$	7.40767	+	10.1958i	0.318481	+	0.438351i	0.938003	−	0.346628i	$-0.112673\pi$
$541$	7.40767	+	10.1958i	0.318481	+	0.438351i	−0.619522	+	0.784979i	$0.712673\pi$
$542$	19.9482	−	8.09569i	0.856848	−	0.347740i
$543$	7.95687	−	50.2377i	0.341462	−	2.15591i
$544$	17.4681	+	11.5858i	0.748938	+	0.496738i
$545$	24.2520	+	12.3232i	1.03884	+	0.527869i
$546$	−2.62700	+	0.187802i	−0.112425	+	0.00803718i
$547$	−39.8641			−1.70447			−0.852233	−	0.523162i	$-0.824752\pi$
$547$	−39.8641			−1.70447			−0.852233	+	0.523162i	$0.824752\pi$
$548$	−3.36472	−	23.4128i	−0.143734	−	1.00014i
$549$	−17.7103	+	5.75444i	−0.755859	+	0.245593i
$550$	−6.17404	−	10.1882i	−0.263262	−	0.434426i
$551$	10.1149	+	3.28654i	0.430910	+	0.140011i
$552$	−7.44417	−	9.10561i	−0.316845	−	0.387561i
$553$	−9.72316	−	4.95420i	−0.413471	−	0.210674i
$554$	−3.15099	+	36.6726i	−0.133873	+	1.55807i
$555$	−25.1969	+	12.8736i	−1.06955	+	0.546454i
$556$	−11.8286	−	24.0621i	−0.501645	−	1.02046i
$557$	19.4576	+	26.7811i	0.824446	+	1.13475i	0.988931	+	0.148374i	$0.0474038\pi$
$557$	19.4576	+	26.7811i	0.824446	+	1.13475i	−0.164485	+	0.986380i	$0.552596\pi$
$558$	−7.44637	−	8.84627i	−0.315230	−	0.374492i
$559$	2.48854	−	0.394146i	0.105254	−	0.0166706i
$560$	−14.1035	+	18.3268i	−0.595982	+	0.774448i
$561$	−11.6809	+	5.95170i	−0.493167	+	0.251281i
$562$	12.5178	+	20.7599i	0.528031	+	0.875705i
$563$	−9.06831	+	6.58851i	−0.382184	+	0.277673i	−0.762245	−	0.647289i	$-0.775903\pi$
$563$	−9.06831	+	6.58851i	−0.382184	+	0.277673i	0.380061	+	0.924961i	$0.375903\pi$
$564$	−0.246882	+	1.42605i	−0.0103956	+	0.0600475i
$565$	−36.0057	+	5.74356i	−1.51477	+	0.241634i
$566$	2.42344	−	0.563464i	0.101865	−	0.0236842i
$567$	−27.6433	+	8.98184i	−1.16091	+	0.377202i
$568$	−0.830260	−	14.5441i	−0.0348370	−	0.610256i
$569$	5.52572	+	4.01467i	0.231650	+	0.168304i	0.697555	−	0.716531i	$-0.254271\pi$
$569$	5.52572	+	4.01467i	0.231650	+	0.168304i	−0.465905	+	0.884835i	$0.654271\pi$
$570$	−36.3382	−	3.08178i	−1.52204	−	0.129081i
$571$	26.4625	−	26.4625i	1.10742	−	1.10742i	0.113931	−	0.993489i	$-0.463656\pi$
$571$	26.4625	−	26.4625i	1.10742	−	1.10742i	0.993489	−	0.113931i	$-0.0363443\pi$
$572$	0.372864	−	1.09391i	0.0155902	−	0.0457388i
$573$	14.5469	+	14.5469i	0.607706	+	0.607706i
$574$	20.5396	+	11.2371i	0.857308	+	0.469029i
$575$	−8.83134	−	4.47521i	−0.368292	−	0.186629i
$576$	10.2620	−	4.68412i	0.427583	−	0.195172i
$577$	18.3186			0.762614			0.381307	−	0.924448i	$-0.375474\pi$
$577$	18.3186			0.762614			0.381307	+	0.924448i	$0.375474\pi$
$578$	−1.11173	+	4.48863i	−0.0462419	+	0.186702i
$579$	−11.2548	+	15.4909i	−0.467732	+	0.643778i
$580$	−7.07377	+	4.99768i	−0.293722	+	0.207517i
$581$	−5.65989	+	11.1082i	−0.234812	+	0.460844i
$582$	−21.2968	+	34.2002i	−0.882781	+	1.41764i
$583$	−3.36208	−	3.36208i	−0.139243	−	0.139243i
$584$	12.5906	−	19.5872i	0.521003	−	0.810525i
$585$	1.08146	−	0.00119607i	0.0447127	−	4.94515e-5i
$586$	9.66003	−	39.0025i	0.399052	−	1.61118i
$587$	−38.9196	−	12.6457i	−1.60638	−	0.521945i	−0.637708	−	0.770278i	$-0.720117\pi$
$587$	−38.9196	−	12.6457i	−1.60638	−	0.521945i	−0.968675	+	0.248333i	$0.920117\pi$
$588$	0.949577	−	0.922719i	0.0391599	−	0.0380523i
$589$	4.98138	+	31.4512i	0.205254	+	1.29592i
$590$	0.172117	+	2.37073i	0.00708594	+	0.0976012i
$591$	−34.9113	−	5.52940i	−1.43606	−	0.227449i
$592$	−21.7807	+	10.3219i	−0.895179	+	0.424226i
$593$	−1.92916	−	5.93734i	−0.0792211	−	0.243817i	0.903600	−	0.428376i	$-0.140914\pi$
$593$	−1.92916	−	5.93734i	−0.0792211	−	0.243817i	−0.982821	+	0.184559i	$0.940914\pi$
$594$	0.681021	−	7.92601i	0.0279426	−	0.325208i
$595$	20.3811	+	6.59731i	0.835543	+	0.270463i
$596$	9.11761	+	29.4940i	0.373472	+	1.20812i
$597$	12.4327	+	24.4005i	0.508836	+	0.998648i
$598$	−0.217516	−	0.935527i	−0.00889489	−	0.0382565i
$599$	10.1463	+	31.2270i	0.414566	+	1.27590i	0.912639	+	0.408767i	$0.134041\pi$
$599$	10.1463	+	31.2270i	0.414566	+	1.27590i	−0.498073	+	0.867135i	$0.665959\pi$
$600$	19.7201	−	22.2065i	0.805069	−	0.906579i
$601$	22.7001	−	22.7001i	0.925958	−	0.925958i	−0.0714837	−	0.997442i	$-0.522773\pi$
$601$	22.7001	−	22.7001i	0.925958	−	0.925958i	0.997442	+	0.0714837i	$0.0227734\pi$
$602$	17.5898	−	20.2984i	0.716906	−	0.827300i
$603$	−5.84632	−	4.24760i	−0.238081	−	0.172976i
$604$	−0.809213	−	1.14806i	−0.0329264	−	0.0467140i
$605$	−18.2500	+	0.0201841i	−0.741966	+	0.000820602i
$606$	17.2606	+	7.29504i	0.701163	+	0.296341i
$607$	−1.56868	+	9.90428i	−0.0636709	+	0.402002i	0.935184	+	0.354162i	$0.115234\pi$
$607$	−1.56868	+	9.90428i	−0.0636709	+	0.402002i	−0.998855	+	0.0478404i	$0.984766\pi$
$608$	−30.8620	−	3.54609i	−1.25162	−	0.143813i
$609$	−9.36925	+	4.77387i	−0.379661	+	0.193447i
$610$	−31.9201	+	26.9292i	−1.29241	+	1.09033i
$611$	−0.0694704	+	0.0956179i	−0.00281047	+	0.00386828i
$612$	−7.28234	−	7.49431i	−0.294371	−	0.302940i
$613$	−2.05663	−	4.03636i	−0.0830664	−	0.163027i	0.845737	−	0.533600i	$-0.179161\pi$
$613$	−2.05663	−	4.03636i	−0.0830664	−	0.163027i	−0.928803	+	0.370573i	$0.879161\pi$
$614$	−2.98331	−	1.26087i	−0.120397	−	0.0508846i
$615$	−25.2998	−	16.2475i	−1.02019	−	0.655164i
$616$	−4.46880	−	11.4813i	−0.180053	−	0.462594i
$617$	−32.6215	+	16.6215i	−1.31329	+	0.669156i	−0.963509	−	0.267674i	$-0.913745\pi$
$617$	−32.6215	+	16.6215i	−1.31329	+	0.669156i	−0.349784	+	0.936831i	$0.613745\pi$
$618$	0.311360	−	0.736701i	0.0125247	−	0.0296344i
$619$	8.21609	+	5.96934i	0.330233	+	0.239928i	0.740529	−	0.672024i	$-0.234575\pi$
$619$	8.21609	+	5.96934i	0.330233	+	0.239928i	−0.410297	+	0.911952i	$0.634575\pi$
$620$	−22.9477	−	12.0777i	−0.921601	−	0.485052i
$621$	−3.00149	−	5.89075i	−0.120446	−	0.236388i
$622$	−18.2793	−	1.57060i	−0.732933	−	0.0629753i
$623$	−27.2745	−	4.31986i	−1.09273	−	0.173072i
$624$	2.87998	+	0.0826434i	0.115292	+	0.00330838i
$625$	7.62016	−	23.8104i	0.304807	−	0.952414i
$626$	11.1352	+	6.93398i	0.445051	+	0.277138i
$627$	11.4202	−	15.7185i	0.456077	−	0.627736i
$628$	−3.18606	−	6.48117i	−0.127138	−	0.258627i
$629$	15.7880	+	15.7880i	0.629509	+	0.629509i
$630$	8.81176	−	7.43398i	0.351069	−	0.296177i
$631$	−11.7430	+	3.81552i	−0.467480	+	0.151893i	−0.533279	−	0.845939i	$-0.679040\pi$
$631$	−11.7430	+	3.81552i	−0.467480	+	0.151893i	0.0657991	+	0.997833i	$0.479040\pi$
$632$	10.0422	+	6.45509i	0.399457	+	0.256770i
$633$	−30.5360	+	15.5589i	−1.21370	+	0.618410i
$634$	9.89697	−	8.33080i	0.393059	−	0.330858i
$635$	17.8183	+	34.8749i	0.707096	+	1.38397i
$636$	5.53224	−	10.4831i	0.219367	−	0.415683i
$637$	0.102836	−	0.0334134i	0.00407450	−	0.00132389i
$638$	−0.329035	−	4.60258i	−0.0130266	−	0.182218i
$639$	−1.13611	+	7.17309i	−0.0449436	+	0.283763i
$640$	17.3542	−	18.4074i	0.685985	−	0.727616i
$641$	−29.4745	+	4.66831i	−1.16417	+	0.184387i	−0.708468	−	0.705743i	$-0.750613\pi$
$641$	−29.4745	+	4.66831i	−1.16417	+	0.184387i	−0.455707	+	0.890130i	$0.650613\pi$
$642$	−19.2284	+	45.4957i	−0.758883	+	1.79557i
$643$	5.56928	−	17.1405i	0.219631	−	0.675954i	−0.779161	−	0.626823i	$-0.784355\pi$
$643$	5.56928	−	17.1405i	0.219631	−	0.675954i	0.998792	−	0.0491311i	$-0.0156452\pi$
$644$	−8.19640	−	6.13656i	−0.322983	−	0.241815i
$645$	−24.3640	+	24.4180i	−0.959333	+	0.961458i
$646$	6.51706	+	28.0296i	0.256410	+	1.10281i
$647$	−4.61366	+	4.61366i	−0.181382	+	0.181382i	−0.791958	−	0.610576i	$-0.790938\pi$
$647$	−4.61366	+	4.61366i	−0.181382	+	0.181382i	0.610576	+	0.791958i	$0.290938\pi$
$648$	31.0709	−	6.75594i	1.22058	−	0.265398i
$649$	−1.12833	−	0.574915i	−0.0442910	−	0.0225674i
$650$	2.24529	−	0.917009i	0.0880676	−	0.0359681i
$651$	−25.4708	−	18.5056i	−0.998280	−	0.725293i
$652$	−11.4308	+	15.2677i	−0.447665	+	0.597931i
$653$		−	18.1930i		−	0.711945i	−0.934496	−	0.355973i	$-0.884150\pi$
$653$		−	18.1930i		−	0.711945i	0.934496	−	0.355973i	$-0.115850\pi$
$654$	−27.3049	−	23.6613i	−1.06770	−	0.925231i
$655$	15.1099	−	20.8455i	0.590394	−	0.814500i
$656$	−21.1293	−	14.4760i	−0.824959	−	0.565192i
$657$	−8.20825	+	8.20825i	−0.320235	+	0.320235i
$658$	0.0898435	+	1.25674i	0.00350246	+	0.0489929i
$659$	31.4394	+	31.4394i	1.22471	+	1.22471i	0.965940	+	0.258765i	$0.0833156\pi$
$659$	31.4394	+	31.4394i	1.22471	+	1.22471i	0.258765	+	0.965940i	$0.416684\pi$
$660$	4.68975	+	15.1114i	0.182548	+	0.588209i
$661$	25.2696	−	34.7806i	0.982872	−	1.35281i	0.0476040	−	0.998866i	$-0.484841\pi$
$661$	25.2696	−	34.7806i	0.982872	−	1.35281i	0.935268	−	0.353941i	$-0.115159\pi$
$662$	25.3546	−	29.2588i	0.985433	−	1.13718i
$663$	−0.824762	−	2.53836i	−0.0320311	−	0.0985816i
$664$	7.37458	−	11.4726i	0.286189	−	0.445225i
$665$	−31.3522	+	5.00125i	−1.21579	+	0.193940i
$666$	11.7038	−	2.72120i	0.453511	−	0.105444i
$667$	−2.25406	−	3.10245i	−0.0872775	−	0.120127i
$668$	1.13898	+	7.92539i	0.0440685	+	0.306642i
$669$	−19.3781	−	38.0316i	−0.749199	−	1.47039i
$670$	−15.7354	−	3.87883i	−0.607911	−	0.149852i
$671$	−3.48056	−	21.9754i	−0.134366	−	0.848350i
$672$	24.0554	−	19.0971i	0.927959	−	0.736689i
$673$	23.5296	−	17.0953i	0.907001	−	0.658975i	−0.0332534	−	0.999447i	$-0.510587\pi$
$673$	23.5296	−	17.0953i	0.907001	−	0.658975i	0.940255	+	0.340472i	$0.110587\pi$
$674$	14.7366	+	12.7701i	0.567631	+	0.491887i
$675$	13.4844	−	9.84261i	0.519014	−	0.378842i
$676$	−22.7864	−	12.0250i	−0.876400	−	0.462500i
$677$	2.95300	−	5.79558i	0.113493	−	0.222742i	−0.827272	−	0.561801i	$-0.810109\pi$
$677$	2.95300	−	5.79558i	0.113493	−	0.222742i	0.940765	+	0.339059i	$0.110109\pi$
$678$	48.2483	+	4.14561i	1.85297	+	0.159211i
$679$	−10.8386	+	33.3579i	−0.415949	+	1.28016i
$680$	−21.4637	−	9.40825i	−0.823096	−	0.360790i
$681$	−6.32508	−	19.4666i	−0.242378	−	0.745962i
$682$	11.8312	−	7.13396i	0.453040	−	0.273173i
$683$		−	50.7554i		−	1.94210i	−0.238872	−	0.971051i	$-0.576778\pi$
$683$		−	50.7554i		−	1.94210i	0.238872	−	0.971051i	$-0.423222\pi$
$684$	14.6588	+	4.99649i	0.560492	+	0.191046i
$685$	8.19983	+	25.1418i	0.313299	+	0.960620i
$686$	14.1388	−	22.7054i	0.539824	−	0.866895i
$687$	37.4424	+	5.93029i	1.42852	+	0.226255i
$688$	−21.3644	+	20.1725i	−0.814511	+	0.769069i
$689$	0.783127	−	0.568975i	0.0298348	−	0.0216762i
$690$	9.94698	+	8.60042i	0.378675	+	0.327413i
$691$	−13.6639	+	6.96212i	−0.519800	+	0.264851i	−0.694148	−	0.719833i	$-0.744218\pi$
$691$	−13.6639	+	6.96212i	−0.519800	+	0.264851i	0.174347	+	0.984684i	$0.444218\pi$
$692$	−2.87140	+	3.83523i	−0.109154	+	0.145794i
$693$	0.960832	+	6.06645i	0.0364990	+	0.230445i
$694$	8.62890	+	21.2621i	0.327549	+	0.807097i
$695$	17.6469	+	24.2325i	0.669385	+	0.919190i
$696$	10.7200	−	4.17250i	0.406341	−	0.158158i
$697$	−6.04954	+	22.9421i	−0.229143	+	0.868994i
$698$	11.3191	+	27.8908i	0.428434	+	1.05568i
$699$	−16.6703	−	5.41650i	−0.630527	−	0.204871i
$700$	12.0165	−	22.8928i	0.454180	−	0.865266i
$701$	−14.3137	−	10.3995i	−0.540621	−	0.392784i	0.283694	−	0.958915i	$-0.408440\pi$
$701$	−14.3137	−	10.3995i	−0.540621	−	0.392784i	−0.824316	+	0.566130i	$0.808440\pi$
$702$	1.57208	+	0.389370i	0.0593345	+	0.0146958i
$703$	−31.4708	−	10.2255i	−1.18694	−	0.385662i
$704$	3.60964	+	12.9856i	0.136043	+	0.489413i
$705$	−0.00178958	−	1.61809i	−6.73994e−5	−	0.0609407i
$706$	6.95551	−	16.4572i	0.261774	−	0.619376i
$707$	16.1127	+	2.55200i	0.605981	+	0.0959780i
$708$	0.538538	−	3.11073i	0.0202395	−	0.116908i
$709$	−14.0857	+	2.23095i	−0.528998	+	0.0837851i	−0.415220	−	0.909721i	$-0.636295\pi$
$709$	−14.0857	+	2.23095i	−0.528998	+	0.0837851i	−0.113778	+	0.993506i	$0.536295\pi$
$710$	3.70605	+	15.8600i	0.139085	+	0.595216i
$711$	−4.20830	−	4.20830i	−0.157824	−	0.157824i
$712$	29.2160	+	7.68255i	1.09492	+	0.287916i
$713$	5.21260	−	10.2303i	0.195214	−	0.383128i
$714$	−24.1524	−	15.0399i	−0.903879	−	0.562854i
$715$	−0.200722	+	1.27644i	−0.00750657	+	0.0477362i
$716$	47.8993	−	14.8073i	1.79008	−	0.553375i
$717$	7.34521	−	14.4158i	0.274312	−	0.538368i
$718$	26.7590	−	22.5245i	0.998638	−	0.840606i
$719$	23.9453	+	12.2007i	0.893007	+	0.455010i	0.839376	−	0.543551i	$-0.182920\pi$
$719$	23.9453	+	12.2007i	0.893007	+	0.455010i	0.0536312	+	0.998561i	$0.482920\pi$
$720$	−10.4039	+	7.12892i	−0.387729	+	0.265679i
$721$	0.108922	−	0.687708i	0.00405648	−	0.0256116i
$722$	−10.1613	−	12.0716i	−0.378164	−	0.449258i
$723$	21.7687	−	29.9620i	0.809585	−	1.11430i
$724$	−0.694819	+	48.4365i	−0.0258227	+	1.80013i
$725$	6.83205	−	6.86235i	0.253736	−	0.254861i
$726$	23.5281	+	5.82737i	0.873209	+	0.216274i
$727$	25.3302	+	34.8641i	0.939446	+	1.29304i	0.956059	+	0.293174i	$0.0947116\pi$
$727$	25.3302	+	34.8641i	0.939446	+	1.29304i	−0.0166131	+	0.999862i	$0.505288\pi$
$728$	2.45100	−	0.532935i	0.0908400	−	0.0197519i
$729$	5.18339			0.191977
$730$	−10.1082	+	23.9907i	−0.374121	+	0.887935i
$731$	24.2525	+	12.3573i	0.897011	+	0.457050i
$732$	49.7776	−	24.4700i	1.83983	−	0.904438i
$733$	−3.92585	+	0.621793i	−0.145004	+	0.0229664i	−0.228515	−	0.973540i	$-0.573387\pi$
$733$	−3.92585	+	0.621793i	−0.145004	+	0.0229664i	0.0835102	+	0.996507i	$0.473387\pi$
$734$	−11.3401	−	18.8067i	−0.418569	−	0.694170i
$735$	−0.868792	+	1.19858i	−0.0320459	+	0.0442101i
$736$	8.25113	+	7.57525i	0.304141	+	0.279228i
$737$	6.10529	−	6.10529i	0.224891	−	0.224891i
$738$	8.75976	+	9.29005i	0.322451	+	0.341972i
$739$	33.4043			1.22880			0.614398	−	0.788997i	$-0.289399\pi$
$739$	33.4043			1.22880			0.614398	+	0.788997i	$0.289399\pi$
$740$	22.0088	−	15.5494i	0.809060	−	0.571608i
$741$	2.79699	+	2.79699i	0.102750	+	0.102750i
$742$	2.48087	−	10.0165i	0.0910756	−	0.367719i
$743$	5.11135	+	32.2718i	0.187517	+	1.18394i	0.884392	+	0.466745i	$0.154573\pi$
$743$	5.11135	+	32.2718i	0.187517	+	1.18394i	−0.696875	+	0.717193i	$0.745427\pi$
$744$	25.7026	+	22.9265i	0.942302	+	0.840528i
$745$	−15.7035	−	30.7358i	−0.575331	−	1.12607i
$746$	−6.58860	−	28.3373i	−0.241226	−	1.03750i
$747$	−4.80775	+	4.80775i	−0.175906	+	0.175906i
$748$	10.2051	−	7.19309i	0.373136	−	0.263005i
$749$	−6.72660	+	42.4701i	−0.245785	+	1.55182i
$750$	−17.4581	+	28.2441i	−0.637480	+	1.03133i
$751$	5.95666	+	11.6906i	0.217362	+	0.426596i	0.973780	−	0.227492i	$-0.0730525\pi$
$751$	5.95666	+	11.6906i	0.217362	+	0.426596i	−0.756418	+	0.654088i	$0.773052\pi$
$752$	0.0395362	−	1.37777i	0.00144174	−	0.0502421i
$753$	20.9480	+	15.2196i	0.763387	+	0.554633i
$754$	0.935973	+	0.0804209i	0.0340861	+	0.00292876i
$755$	1.11165	+	1.10920i	0.0404572	+	0.0403678i
$756$	15.4944	−	7.61684i	0.563525	−	0.277022i
$757$	−21.4836	+	6.98045i	−0.780835	+	0.253709i	−0.672197	−	0.740373i	$-0.734649\pi$
$757$	−21.4836	+	6.98045i	−0.780835	+	0.253709i	−0.108638	+	0.994081i	$0.534649\pi$
$758$	−36.0225	+	30.3220i	−1.30840	+	1.10135i
$759$	−6.66270	+	2.16484i	−0.241841	+	0.0785788i
$760$	34.6731	−	2.01782i	1.25773	−	0.0731939i
$761$	4.88765	−	15.0426i	0.177177	−	0.545296i	−0.822549	−	0.568694i	$-0.807449\pi$
$761$	4.88765	−	15.0426i	0.177177	−	0.545296i	0.999726	+	0.0233988i	$0.00744875\pi$
$762$	−11.7796	−	50.6637i	−0.426731	−	1.83535i
$763$	−28.0259	−	14.2799i	−1.01461	−	0.516968i
$764$	−15.6840	−	11.7425i	−0.567427	−	0.424827i
$765$	9.45948	+	6.85674i	0.342008	+	0.247906i
$766$	0.0959157	+	1.34168i	0.00346557	+	0.0484768i
$767$	0.151540	−	0.208577i	0.00547180	−	0.00753129i
$768$	−28.2710	+	18.1584i	−1.02014	+	0.655236i
$769$	10.6325	+	14.6343i	0.383417	+	0.527728i	0.956486	−	0.291779i	$-0.0942473\pi$
$769$	10.6325	+	14.6343i	0.383417	+	0.527728i	−0.573069	+	0.819507i	$0.694247\pi$
$770$	7.12580	+	11.7882i	0.256796	+	0.424816i
$771$	5.35534	−	3.89089i	0.192868	−	0.140127i
$772$	8.51110	−	16.1278i	0.306321	−	0.580453i
$773$	−5.50005	+	16.9274i	−0.197823	+	0.608837i	0.802109	+	0.597178i	$0.203711\pi$
$773$	−5.50005	+	16.9274i	−0.197823	+	0.608837i	−0.999932	+	0.0116589i	$0.996289\pi$
$774$	12.5444	−	7.56401i	0.450899	−	0.271883i
$775$	27.5936	+	8.89826i	0.991190	+	0.319635i
$776$	15.4429	−	35.1254i	0.554369	−	1.26093i
$777$	29.1508	−	14.8531i	1.04578	−	0.532851i
$778$	18.9653	+	46.7314i	0.679938	+	1.67540i
$779$	−7.44770	−	34.3655i	−0.266842	−	1.23127i
$780$	−3.18798	+	0.461753i	−0.114148	+	0.0165334i
$781$	−8.25256	−	2.68142i	−0.295300	−	0.0959487i
$782$	4.03947	−	9.55767i	0.144451	−	0.341782i
$783$	6.38678	−	1.01157i	0.228245	−	0.0361504i
$784$	−0.770149	+	0.998483i	−0.0275053	+	0.0356601i
$785$	4.75323	+	6.52706i	0.169650	+	0.232961i
$786$	−26.1604	+	22.0206i	−0.933111	+	0.785448i
$787$	6.71451	−	42.3938i	0.239347	−	1.51117i	−0.516421	−	0.856335i	$-0.672736\pi$
$787$	6.71451	−	42.3938i	0.239347	−	1.51117i	0.755768	−	0.654840i	$-0.227264\pi$
$788$	33.6596	+	0.482845i	1.19907	+	0.0172006i
$789$	−12.6647	−	17.4315i	−0.450875	−	0.620576i
$790$	−12.2998	−	5.18238i	−0.437608	−	0.184381i
$791$	41.6394	−	6.59504i	1.48053	−	0.234493i
$792$	−0.382947	−	6.70827i	−0.0136074	−	0.238368i
$793$	4.52969			0.160854
$794$	−1.28349	+	5.18211i	−0.0455494	+	0.183906i
$795$	−4.08129	+	12.6083i	−0.144748	+	0.447172i
$796$	−15.0259	−	21.3178i	−0.532578	−	0.755589i
$797$	−14.7302	−	28.9096i	−0.521770	−	1.02403i	−0.990085	−	0.140470i	$-0.955139\pi$
$797$	−14.7302	−	28.9096i	−0.521770	−	1.02403i	0.468315	−	0.883562i	$-0.344861\pi$
$798$	42.0126	+	3.60982i	1.48723	+	0.127786i
$799$	−1.21434	+	0.394562i	−0.0429601	+	0.0139586i
$800$	−15.5814	+	23.6055i	−0.550887	+	0.834580i
$801$	−13.4188	−	6.83722i	−0.474130	−	0.241581i
$802$	−1.12998	−	15.8063i	−0.0399009	−	0.558139i
$803$	−8.15231	−	11.2207i	−0.287689	−	0.395969i
$804$	19.0366	+	10.0461i	0.671369	+	0.354300i
$805$	10.2056	+	5.18583i	0.359702	+	0.182776i
$806$	1.05771	+	2.60624i	0.0372561	+	0.0918008i
$807$	35.7329	+	11.6103i	1.25786	+	0.408703i
$808$	−17.2597	−	4.53854i	−0.607193	−	0.159665i
$809$	4.36719	−	27.5734i	0.153542	−	0.969428i	−0.783799	−	0.621015i	$-0.786721\pi$
$809$	4.36719	−	27.5734i	0.153542	−	0.969428i	0.937341	−	0.348413i	$-0.113279\pi$
$810$	−32.9259	+	13.4049i	−1.15690	+	0.471001i
$811$	36.8716			1.29474			0.647368	−	0.762178i	$-0.275870\pi$
$811$	36.8716			1.29474			0.647368	+	0.762178i	$0.275870\pi$
$812$	8.18555	−	5.76959i	0.287256	−	0.202473i
$813$	30.4036	−	9.87873i	1.06630	−	0.346462i
$814$	1.02374	+	14.3201i	0.0358819	+	0.501920i
$815$	9.65983	−	19.0104i	0.338369	−	0.665907i
$816$	24.6461	+	19.0100i	0.862787	+	0.665484i
$817$	−40.3399			−1.41131
$818$	0.100929	+	1.41180i	0.00352889	+	0.0493625i
$819$	−1.25045			−0.0436943
$820$	26.0510	+	11.8888i	0.909741	+	0.415176i
$821$	−11.8075			−0.412084			−0.206042	−	0.978543i	$-0.566058\pi$
$821$	−11.8075			−0.412084			−0.206042	+	0.978543i	$0.566058\pi$
$822$	−2.50457	−	35.0342i	−0.0873569	−	1.22196i
$823$	−17.1304			−0.597127			−0.298564	−	0.954390i	$-0.596507\pi$
$823$	−17.1304			−0.597127			−0.298564	+	0.954390i	$0.596507\pi$
$824$	−0.193710	+	0.736662i	−0.00674821	+	0.0256628i
$825$	−8.06591	−	15.7441i	−0.280819	−	0.548138i
$826$	−0.195981	−	2.74141i	−0.00681906	−	0.0953858i
$827$	31.5016	−	10.2355i	1.09542	−	0.355923i	0.295080	−	0.955473i	$-0.404654\pi$
$827$	31.5016	−	10.2355i	1.09542	−	0.355923i	0.800337	+	0.599550i	$0.204654\pi$
$828$	−3.21713	−	4.56427i	−0.111803	−	0.158619i
$829$	−3.57417			−0.124136			−0.0620681	−	0.998072i	$-0.519770\pi$
$829$	−3.57417			−0.124136			−0.0620681	+	0.998072i	$0.519770\pi$
$830$	−5.92058	+	14.0518i	−0.205506	+	0.487746i
$831$	−8.55025	+	53.9841i	−0.296605	+	1.87269i
$832$	−2.72612	+	0.312263i	−0.0945114	+	0.0108258i
$833$	1.11095	+	0.360971i	0.0384923	+	0.0125069i
$834$	−14.9722	−	36.8922i	−0.518444	−	1.27747i
$835$	−2.77570	−	8.51069i	−0.0960570	−	0.294524i
$836$	−8.63617	+	16.3648i	−0.298688	+	0.565989i
$837$	11.3800	+	15.6632i	0.393350	+	0.541400i
$838$	−2.01473	−	28.1823i	−0.0695978	−	0.973542i
$839$	6.79446	+	3.46195i	0.234571	+	0.119520i	0.567326	−	0.823494i	$-0.307978\pi$
$839$	6.79446	+	3.46195i	0.234571	+	0.119520i	−0.332755	+	0.943013i	$0.607978\pi$
$840$	−22.8300	+	25.6514i	−0.787711	+	0.885059i
$841$	−24.0135	+	7.80245i	−0.828050	+	0.269050i
$842$	32.3309	+	2.77795i	1.11420	+	0.0957344i
$843$	16.3426	+	32.0741i	0.562869	+	1.10469i
$844$	26.6781	−	18.8041i	0.918298	−	0.647264i
$845$	27.4058	+	8.87118i	0.942788	+	0.305178i
$846$	−0.165199	+	0.666991i	−0.00567964	+	0.0229316i
$847$	21.1018			0.725067
$848$	−3.79496	+	10.6318i	−0.130319	+	0.365098i
$849$	3.64915	−	0.577968i	0.125238	−	0.0198358i
$850$	25.4467	+	6.24286i	0.872815	+	0.214128i
$851$	7.01311	+	9.65272i	0.240406	+	0.330891i
$852$	0.310281	−	21.6300i	0.0106300	−	0.741030i
$853$	−4.82602	+	30.4703i	−0.165240	+	1.04328i	0.756081	+	0.654478i	$0.227112\pi$
$853$	−4.82602	+	30.4703i	−0.165240	+	1.04328i	−0.921321	+	0.388804i	$0.872888\pi$
$854$	36.9425	−	31.0965i	1.26415	−	1.06410i
$855$	−17.1047	−	2.68973i	−0.584969	−	0.0919869i
$856$	11.9628	−	45.4933i	0.408879	−	1.55493i
$857$	32.5286	−	5.15202i	1.11116	−	0.175990i	0.426239	−	0.904611i	$-0.359838\pi$
$857$	32.5286	−	5.15202i	1.11116	−	0.175990i	0.684917	+	0.728621i	$0.259838\pi$
$858$	0.668100	−	1.58077i	0.0228086	−	0.0539667i
$859$	−33.1007	−	10.7551i	−1.12938	−	0.366958i	−0.316040	−	0.948746i	$-0.602353\pi$
$859$	−33.1007	−	10.7551i	−1.12938	−	0.366958i	−0.813340	+	0.581788i	$0.802353\pi$
$860$	19.6597	−	26.3193i	0.670389	−	0.897482i
$861$	29.2325	+	18.8188i	0.996241	+	0.641343i
$862$	−13.0512	−	32.1589i	−0.444526	−	1.09534i
$863$	−6.81927	+	3.47459i	−0.232130	+	0.118276i	−0.566187	−	0.824276i	$-0.691582\pi$
$863$	−6.81927	+	3.47459i	−0.232130	+	0.118276i	0.334057	+	0.942553i	$0.391582\pi$
$864$	−17.6978	+	6.59772i	−0.602092	+	0.224459i
$865$	2.42653	−	4.77539i	0.0825046	−	0.162368i
$866$	17.6645	−	10.6513i	0.600265	−	0.361947i
$867$	−2.12193	+	6.53063i	−0.0720646	+	0.221792i
$868$	26.5182	+	13.9944i	0.900085	+	0.475000i
$869$	5.75275	−	4.17962i	0.195149	−	0.141784i
$870$	−11.0065	+	6.65331i	−0.373157	+	0.225569i
$871$	1.03322	+	1.42210i	0.0350093	+	0.0481861i
$872$	28.9456	+	18.6061i	0.980220	+	0.630082i
$873$	−11.2436	+	15.4755i	−0.380539	+	0.523767i
$874$	1.09656	+	15.3388i	0.0370918	+	0.518844i
$875$	−8.84138	+	27.5213i	−0.298893	+	0.930391i
$876$	20.7226	−	27.6785i	0.700153	−	0.935171i
$877$	−30.6627	−	15.6235i	−1.03541	−	0.527566i	−0.148210	−	0.988956i	$-0.547351\pi$
$877$	−30.6627	−	15.6235i	−1.03541	−	0.527566i	−0.887198	+	0.461390i	$0.847351\pi$
$878$	−13.0161	−	55.9818i	−0.439273	−	1.88929i
$879$	18.4378	−	56.7459i	0.621893	−	1.91399i
$880$	−6.46822	−	13.6100i	−0.218044	−	0.458792i
$881$	15.8145	−	5.13845i	0.532804	−	0.173119i	−0.0302440	−	0.999543i	$-0.509628\pi$
$881$	15.8145	−	5.13845i	0.532804	−	0.173119i	0.563048	+	0.826424i	$0.309628\pi$
$882$	0.480941	−	0.404833i	0.0161941	−	0.0136314i
$883$	8.90188	−	2.89240i	0.299572	−	0.0973369i	−0.155374	−	0.987856i	$-0.549658\pi$
$883$	8.90188	−	2.89240i	0.299572	−	0.0973369i	0.454946	+	0.890519i	$0.349658\pi$
$884$	1.12138	+	2.28115i	0.0377162	+	0.0767232i
$885$	0.00390372	+	3.52964i	0.000131222	+	0.118647i
$886$	17.6739	+	1.51858i	0.593767	+	0.0510178i
$887$	22.9660	+	16.6858i	0.771124	+	0.560254i	0.902302	−	0.431104i	$-0.141876\pi$
$887$	22.9660	+	16.6858i	0.771124	+	0.560254i	−0.131178	+	0.991359i	$0.541876\pi$
$888$	−33.3535	+	12.9820i	−1.11927	+	0.435647i
$889$	−20.5580	−	40.3474i	−0.689494	−	1.35321i
$890$	−33.6541	−	2.85415i	−1.12809	−	0.0956713i
$891$	2.96283	−	18.7066i	0.0992585	−	0.626694i
$892$	23.4199	+	33.2267i	0.784156	+	1.11251i
$893$	1.33806	−	1.33806i	0.0447766	−	0.0447766i
$894$	10.3816	+	44.6507i	0.347211	+	1.49334i
$895$	−49.9159	+	25.5030i	−1.66851	+	0.852472i
$896$	−20.0896	+	21.2616i	−0.671146	+	0.710301i
$897$	−0.223115	−	1.40869i	−0.00744959	−	0.0470349i
$898$	−0.596068	+	2.40663i	−0.0198911	+	0.0803104i
$899$	7.94081	+	7.94081i	0.264841	+	0.264841i
$900$	10.0909	−	9.84895i	0.336362	−	0.328298i
$901$	10.4575			0.348388
$902$	−12.6004	+	8.60093i	−0.419547	+	0.286380i
$903$	28.2025	−	28.2025i	0.938521	−	0.938521i
$904$	−46.0448	+	2.62850i	−1.53143	+	0.0874227i
$905$	−8.53153	−	53.4830i	−0.283598	−	1.77784i
$906$	−1.07700	−	1.78614i	−0.0357811	−	0.0593406i
$907$	−16.1329	+	2.55519i	−0.535683	+	0.0848438i	−0.418414	−	0.908256i	$-0.637414\pi$
$907$	−16.1329	+	2.55519i	−0.535683	+	0.0848438i	−0.117269	+	0.993100i	$0.537414\pi$
$908$	8.59986	+	17.4941i	0.285396	+	0.580560i
$909$	7.92730	+	4.03916i	0.262932	+	0.133970i
$910$	−2.59732	+	1.05743i	−0.0861005	+	0.0350536i
$911$	−31.6024			−1.04703			−0.523516	−	0.852016i	$-0.675380\pi$
$911$	−31.6024			−1.04703			−0.523516	+	0.852016i	$0.675380\pi$
$912$	−45.3359	−	8.52017i	−1.50122	−	0.282131i
$913$	−4.77498	−	6.57219i	−0.158029	−	0.217508i
$914$	−21.4746	−	5.31876i	−0.710315	−	0.175929i
$915$	−50.1300	+	36.5064i	−1.65725	+	1.20686i
$916$	−36.0999	−	0.517852i	−1.19278	−	0.0171103i
$917$	−17.4977	+	24.0836i	−0.577826	+	0.795310i
$918$	11.2675	+	13.3857i	0.371882	+	0.441795i
$919$	−7.46446	+	47.1287i	−0.246230	+	1.55463i	0.486235	+	0.873828i	$0.338370\pi$
$919$	−7.46446	+	47.1287i	−0.246230	+	1.55463i	−0.732465	+	0.680805i	$0.761630\pi$
$920$	−10.5421	−	6.75994i	−0.347562	−	0.222869i
$921$	−4.28523	−	2.18344i	−0.141203	−	0.0719467i
$922$	−31.8594	+	26.8178i	−1.04924	+	0.883196i
$923$	0.802012	−	1.57404i	0.0263986	−	0.0518101i
$924$	−5.40327	−	17.4787i	−0.177755	−	0.575009i
$925$	−21.2568	+	21.3510i	−0.698918	+	0.702017i
$926$	−6.49012	−	4.04146i	−0.213279	−	0.132811i
$927$	0.172396	−	0.338346i	0.00566222	−	0.0111127i
$928$	−9.54036	+	5.38568i	−0.313178	+	0.176794i
$929$	2.03709	+	2.03709i	0.0668349	+	0.0668349i	0.739734	−	0.672899i	$-0.234951\pi$
$929$	2.03709	+	2.03709i	0.0668349	+	0.0668349i	−0.672899	+	0.739734i	$0.734951\pi$
$930$	−32.7102	−	20.3188i	−1.07261	−	0.666279i
$931$	−1.70989	+	0.270820i	−0.0560395	+	0.00887578i
$932$	16.4487	+	2.84764i	0.538794	+	0.0932776i
$933$	−26.9082	−	4.26183i	−0.880933	−	0.139526i
$934$	0.347070	−	0.821193i	0.0113565	−	0.0268703i
$935$	−9.85964	+	9.88147i	−0.322445	+	0.323159i
$936$	1.36111	+	0.136643i	0.0444891	+	0.00446631i
$937$	−53.9612	−	17.5330i	−1.76283	−	0.572779i	−0.765346	−	0.643619i	$-0.777432\pi$
$937$	−53.9612	−	17.5330i	−1.76283	−	0.572779i	−0.997488	+	0.0708393i	$0.977432\pi$
$938$	18.1893	+	4.50508i	0.593902	+	0.147096i
$939$	15.7587	+	11.4494i	0.514266	+	0.373636i
$940$	0.220900	+	1.52511i	0.00720497	+	0.0497437i
$941$	−50.6929	−	16.4711i	−1.65254	−	0.536943i	−0.673252	−	0.739414i	$-0.735103\pi$
$941$	−50.6929	−	16.4711i	−1.65254	−	0.536943i	−0.979288	+	0.202471i	$0.935103\pi$
$942$	−4.03278	−	9.93697i	−0.131395	−	0.323764i
$943$	−5.11080	+	11.6031i	−0.166431	+	0.377850i
$944$	−0.0862427	+	3.00541i	−0.00280696	+	0.0978178i
$945$	−15.6041	+	11.3634i	−0.507601	+	0.369652i
$946$	6.58157	+	16.2173i	0.213985	+	0.527271i
$947$	−5.46814	−	34.5245i	−0.177691	−	1.12189i	−0.901782	−	0.432190i	$-0.857741\pi$
$947$	−5.46814	−	34.5245i	−0.177691	−	1.12189i	0.724092	−	0.689704i	$-0.242259\pi$
$948$	14.1905	+	10.6243i	0.460888	+	0.345062i
$949$	2.51591	−	1.28192i	0.0816699	−	0.0416129i
$950$	−37.8029	+	8.87760i	−1.22649	+	0.288027i
$951$	15.5411	−	11.2912i	0.503954	−	0.366144i
$952$	24.8057	+	10.9059i	0.803958	+	0.353461i
$953$	41.7925	+	6.61928i	1.35379	+	0.214419i	0.790816	−	0.612054i	$-0.209657\pi$
$953$	41.7925	+	6.61928i	1.35379	+	0.214419i	0.562975	+	0.826474i	$0.309657\pi$
$954$	2.97488	−	4.77731i	0.0963152	−	0.154671i
$955$	19.5287	+	9.92319i	0.631935	+	0.321107i
$956$	−4.97125	+	14.5847i	−0.160782	+	0.471703i
$957$		−	6.85197i		−	0.221493i
$958$	35.1308	−	21.1831i	1.13503	−	0.684396i
$959$	−9.44903	−	29.0811i	−0.305125	−	0.939078i
$960$	27.6533	−	25.4266i	0.892508	−	0.820640i
$961$	−0.810657	+	2.49495i	−0.0261502	+	0.0804821i
$962$	−2.91212	−	0.250216i	−0.0938904	−	0.00806728i
$963$	−10.6465	+	20.8949i	−0.343078	+	0.673328i
$964$	−16.4619	+	31.1940i	−0.530203	+	1.00469i
$965$	−6.27887	+	19.3974i	−0.202124	+	0.624423i
$966$	−11.4904	−	9.95709i	−0.369696	−	0.320364i
$967$	−29.6369	+	21.5325i	−0.953058	+	0.692437i	−0.951528	−	0.307561i	$-0.900487\pi$
$967$	−29.6369	+	21.5325i	−0.953058	+	0.692437i	−0.00153011	+	0.999999i	$0.500487\pi$
$968$	−22.9691	−	2.30589i	−0.738256	−	0.0741142i
$969$	6.68482	+	42.2063i	0.214747	+	1.35586i
$970$	−10.2675	+	41.6524i	−0.329669	+	1.33738i
$971$	−19.6087	−	38.4842i	−0.629272	−	1.23502i	−0.956957	−	0.290230i	$-0.906268\pi$
$971$	−19.6087	−	38.4842i	−0.629272	−	1.23502i	0.327685	−	0.944787i	$-0.393732\pi$
$972$	26.9066	−	3.86682i	0.863028	−	0.124028i
$973$	−20.3735	−	28.0417i	−0.653145	−	0.898977i
$974$	−48.9346	+	11.3776i	−1.56796	+	0.364562i
$975$	3.42272	−	1.12049i	0.109615	−	0.0358843i
$976$	−43.6097	+	29.8113i	−1.39591	+	0.954238i
$977$	3.37688	+	10.3930i	0.108036	+	0.332501i	0.990431	−	0.138009i	$-0.0440702\pi$
$977$	3.37688	+	10.3930i	0.108036	+	0.332501i	−0.882395	+	0.470509i	$0.844070\pi$
$978$	−18.5474	+	21.4035i	−0.593082	+	0.684409i
$979$	10.5766	−	14.5575i	0.338031	−	0.465259i
$980$	0.656622	−	1.24759i	0.0209750	−	0.0398527i
$981$	−12.1300	−	12.1300i	−0.387280	−	0.387280i
$982$	3.65439	+	51.1180i	0.116616	+	1.63124i
$983$	12.7485	−	12.7485i	0.406614	−	0.406614i	−0.473942	−	0.880556i	$-0.657169\pi$
$983$	12.7485	−	12.7485i	0.406614	−	0.406614i	0.880556	+	0.473942i	$0.157169\pi$
$984$	−29.7629	−	23.6785i	−0.948807	−	0.754842i
$985$	−37.1665	+	5.92874i	−1.18422	+	0.188905i
$986$	7.66969	+	6.64625i	0.244253	+	0.211660i
$987$			1.87094i			0.0595527i
$988$	−3.01562	−	2.25776i	−0.0959396	−	0.0718290i
$989$	11.7675	+	8.54956i	0.374184	+	0.271860i
$990$	1.70937	+	7.31523i	0.0543272	+	0.232493i
$991$	3.15261	+	1.60634i	0.100146	+	0.0510269i	0.503346	−	0.864085i	$-0.332102\pi$
$991$	3.15261	+	1.60634i	0.100146	+	0.0510269i	−0.403200	+	0.915112i	$0.632102\pi$
$992$	−27.3355	−	18.1305i	−0.867904	−	0.575644i
$993$	40.6522	−	40.6522i	1.29006	−	1.29006i
$994$	−4.26489	−	18.3431i	−0.135274	−	0.581808i
$995$	20.6417	+	20.5961i	0.654387	+	0.652941i
$996$	12.1377	−	16.2119i	0.384597	−	0.513693i
$997$	−18.1231	+	55.7771i	−0.573964	+	1.76648i	0.0657170	+	0.997838i	$0.479067\pi$
$997$	−18.1231	+	55.7771i	−0.573964	+	1.76648i	−0.639681	+	0.768641i	$0.720933\pi$
$998$	1.05428	−	2.49451i	0.0333728	−	0.0789624i
$999$	−19.8713	+	3.14731i	−0.628702	+	0.0995766i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bv.c.103.5	yes	960
4.3	odd	2	inner	820.2.bv.c.103.32	yes	960
5.2	odd	4		820.2.bk.c.267.56	yes	960
20.7	even	4		820.2.bk.c.267.30	yes	960
41.2	even	20		820.2.bk.c.43.30	✓	960
164.43	odd	20		820.2.bk.c.43.56	yes	960
205.2	odd	20	inner	820.2.bv.c.207.32	yes	960
820.207	even	20	inner	820.2.bv.c.207.5	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.30	✓	960	41.2	even	20
820.2.bk.c.43.56	yes	960	164.43	odd	20
820.2.bk.c.267.30	yes	960	20.7	even	4
820.2.bk.c.267.56	yes	960	5.2	odd	4
820.2.bv.c.103.5	yes	960	1.1	even	1	trivial
820.2.bv.c.103.32	yes	960	4.3	odd	2	inner
820.2.bv.c.207.5	yes	960	820.207	even	20	inner
820.2.bv.c.207.32	yes	960	205.2	odd	20	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bv (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41061 + 0.100844i) q^{2} -2.10001 q^{3} +(1.97966 - 0.284503i) q^{4} +(-2.12586 + 0.693335i) q^{5} +(2.96231 - 0.211773i) q^{6} +(2.45895 - 0.798960i) q^{7} +(-2.76385 + 0.600960i) q^{8} +1.41006 q^{9} +(2.92885 - 1.19241i) q^{10} +(-0.263552 + 1.66400i) q^{11} +(-4.15732 + 0.597460i) q^{12} +(-0.326207 - 0.105991i) q^{13} +(-3.38805 + 1.37499i) q^{14} +(4.46434 - 1.45601i) q^{15} +(3.83812 - 1.12644i) q^{16} +(-2.17799 - 2.99775i) q^{17} +(-1.98905 + 0.142196i) q^{18} +(4.89303 + 2.49312i) q^{19} +(-4.01123 + 1.97738i) q^{20} +(-5.16382 + 1.67783i) q^{21} +(0.203966 - 2.37384i) q^{22} +(-0.898947 - 1.76428i) q^{23} +(5.80412 - 1.26203i) q^{24} +(4.03857 - 2.94787i) q^{25} +(0.470840 + 0.116616i) q^{26} +3.33889 q^{27} +(4.64057 - 2.28125i) q^{28} +(1.91284 - 0.302964i) q^{29} +(-6.15063 + 2.50407i) q^{30} +(3.40831 + 4.69114i) q^{31} +(-5.30050 + 1.97602i) q^{32} +(0.553463 - 3.49443i) q^{33} +(3.37461 + 4.00903i) q^{34} +(-4.67343 + 3.40335i) q^{35} +(2.79144 - 0.401167i) q^{36} +(-5.95148 + 0.942621i) q^{37} +(-7.15359 - 3.02340i) q^{38} +(0.685038 + 0.222582i) q^{39} +(5.45889 - 3.19383i) q^{40} +(-4.04939 - 4.96008i) q^{41} +(7.11496 - 2.88751i) q^{42} +(-6.54514 + 3.33491i) q^{43} +(-0.0483302 + 3.36914i) q^{44} +(-2.99760 + 0.977645i) q^{45} +(1.44598 + 2.39807i) q^{46} +(0.106482 - 0.327719i) q^{47} +(-8.06010 + 2.36554i) q^{48} +(-0.255041 + 0.185298i) q^{49} +(-5.39959 + 4.56557i) q^{50} +(4.57382 + 6.29532i) q^{51} +(-0.675933 - 0.117019i) q^{52} +(-1.65885 + 2.28321i) q^{53} +(-4.70989 + 0.336706i) q^{54} +(-0.593435 - 3.72017i) q^{55} +(-6.31601 + 3.68593i) q^{56} +(-10.2754 - 5.23560i) q^{57} +(-2.66773 + 0.620264i) q^{58} +(-0.232276 + 0.714873i) q^{59} +(8.42364 - 4.15253i) q^{60} +(-12.5600 + 4.08098i) q^{61} +(-5.28088 - 6.27367i) q^{62} +(3.46727 - 1.12658i) q^{63} +(7.27769 - 3.32192i) q^{64} +(0.766957 - 0.000848241i) q^{65} +(-0.428332 + 4.98510i) q^{66} +(-4.14615 - 3.01235i) q^{67} +(-5.16456 - 5.31488i) q^{68} +(1.88780 + 3.70502i) q^{69} +(6.24920 - 5.27210i) q^{70} +(-0.805713 + 5.08707i) q^{71} +(-3.89719 + 0.847391i) q^{72} +(-5.82120 + 5.82120i) q^{73} +(8.30018 - 1.92984i) q^{74} +(-8.48107 + 6.19056i) q^{75} +(10.3958 + 3.54346i) q^{76} +(0.681411 + 4.30226i) q^{77} +(-0.988771 - 0.244896i) q^{78} +(-2.98448 - 2.98448i) q^{79} +(-7.37830 + 5.05575i) q^{80} -11.2419 q^{81} +(6.21232 + 6.58840i) q^{82} +(-3.40960 + 3.40960i) q^{83} +(-9.74527 + 4.79065i) q^{84} +(6.70856 + 4.86272i) q^{85} +(8.89635 - 5.36431i) q^{86} +(-4.01700 + 0.636230i) q^{87} +(-0.271582 - 4.75743i) q^{88} +(-9.51647 - 4.84888i) q^{89} +(4.12986 - 1.68137i) q^{90} -0.886807 q^{91} +(-2.28155 - 3.23693i) q^{92} +(-7.15750 - 9.85146i) q^{93} +(-0.117157 + 0.473023i) q^{94} +(-12.1305 - 1.90753i) q^{95} +(11.1311 - 4.14967i) q^{96} +(-7.97386 + 10.9751i) q^{97} +(0.341078 - 0.287103i) q^{98} +(-0.371625 + 2.34635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more