LMFDB - Embedded newform 820.2.bv.c.103.32

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			103.32
Character	$\chi$	$=$	820.103
Dual form			820.2.bv.c.207.32

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.910722 + 1.08194i) q^{2} +2.10001 q^{3} +(-0.341170 - 1.97069i) q^{4} +(-2.12586 + 0.693335i) q^{5} +(-1.91253 + 2.27208i) q^{6} +(-2.45895 + 0.798960i) q^{7} +(2.44287 + 1.42562i) q^{8} +1.41006 q^{9} +(1.18593 - 2.93148i) q^{10} +(0.263552 - 1.66400i) q^{11} +(-0.716463 - 4.13847i) q^{12} +(-0.326207 - 0.105991i) q^{13} +(1.37499 - 3.38805i) q^{14} +(-4.46434 + 1.45601i) q^{15} +(-3.76721 + 1.34468i) q^{16} +(-2.17799 - 2.99775i) q^{17} +(-1.28417 + 1.52560i) q^{18} +(-4.89303 - 2.49312i) q^{19} +(2.09163 + 3.95286i) q^{20} +(-5.16382 + 1.67783i) q^{21} +(1.56032 + 1.80059i) q^{22} +(0.898947 + 1.76428i) q^{23} +(5.13006 + 2.99383i) q^{24} +(4.03857 - 2.94787i) q^{25} +(0.411759 - 0.256406i) q^{26} -3.33889 q^{27} +(2.41342 + 4.57323i) q^{28} +(1.91284 - 0.302964i) q^{29} +(2.49046 - 6.15615i) q^{30} +(-3.40831 - 4.69114i) q^{31} +(1.97602 - 5.30050i) q^{32} +(0.553463 - 3.49443i) q^{33} +(5.22692 + 0.373669i) q^{34} +(4.67343 - 3.40335i) q^{35} +(-0.481071 - 2.77879i) q^{36} +(-5.95148 + 0.942621i) q^{37} +(7.15359 - 3.02340i) q^{38} +(-0.685038 - 0.222582i) q^{39} +(-6.18163 - 1.33695i) q^{40} +(-4.04939 - 4.96008i) q^{41} +(2.88751 - 7.11496i) q^{42} +(6.54514 - 3.33491i) q^{43} +(-3.36914 + 0.0483302i) q^{44} +(-2.99760 + 0.977645i) q^{45} +(-2.72753 - 0.634169i) q^{46} +(-0.106482 + 0.327719i) q^{47} +(-7.91119 + 2.82385i) q^{48} +(-0.255041 + 0.185298i) q^{49} +(-0.488616 + 7.05417i) q^{50} +(-4.57382 - 6.29532i) q^{51} +(-0.0975828 + 0.679012i) q^{52} +(-1.65885 + 2.28321i) q^{53} +(3.04080 - 3.61247i) q^{54} +(0.593435 + 3.72017i) q^{55} +(-7.14589 - 1.55378i) q^{56} +(-10.2754 - 5.23560i) q^{57} +(-1.41428 + 2.34549i) q^{58} +(0.232276 - 0.714873i) q^{59} +(4.39245 + 8.30106i) q^{60} +(-12.5600 + 4.08098i) q^{61} +(8.17953 + 0.584749i) q^{62} +(-3.46727 + 1.12658i) q^{63} +(3.93520 + 6.96521i) q^{64} +(0.766957 - 0.000848241i) q^{65} +(3.27670 + 3.78127i) q^{66} +(4.14615 + 3.01235i) q^{67} +(-5.16456 + 5.31488i) q^{68} +(1.88780 + 3.70502i) q^{69} +(-0.573991 + 8.15586i) q^{70} +(0.805713 - 5.08707i) q^{71} +(3.44459 + 2.01022i) q^{72} +(-5.82120 + 5.82120i) q^{73} +(4.40029 - 7.29758i) q^{74} +(8.48107 - 6.19056i) q^{75} +(-3.24381 + 10.4932i) q^{76} +(0.681411 + 4.30226i) q^{77} +(0.864700 - 0.538457i) q^{78} +(2.98448 + 2.98448i) q^{79} +(7.07624 - 5.47054i) q^{80} -11.2419 q^{81} +(9.05436 + 0.136073i) q^{82} +(3.40960 - 3.40960i) q^{83} +(5.06822 + 9.60385i) q^{84} +(6.70856 + 4.86272i) q^{85} +(-2.35264 + 10.1186i) q^{86} +(4.01700 - 0.636230i) q^{87} +(3.01606 - 3.68921i) q^{88} +(-9.51647 - 4.84888i) q^{89} +(1.67223 - 4.13357i) q^{90} +0.886807 q^{91} +(3.17015 - 2.37346i) q^{92} +(-7.15750 - 9.85146i) q^{93} +(-0.257595 - 0.413668i) q^{94} +(12.1305 + 1.90753i) q^{95} +(4.14967 - 11.1311i) q^{96} +(-7.97386 + 10.9751i) q^{97} +(0.0317907 - 0.444693i) 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 $

$2$	−0.910722	+	1.08194i	−0.643978	+	0.765044i
$2$	−0.910722	+	1.08194i	−0.643978	+	0.765044i
$3$	2.10001			1.21244			0.606222	−	0.795295i	$-0.292684\pi$
$3$	2.10001			1.21244			0.606222	+	0.795295i	$0.292684\pi$
$4$	−0.341170	−	1.97069i	−0.170585	−	0.985343i
$5$	−2.12586	+	0.693335i	−0.950714	+	0.310069i
$5$	−2.12586	+	0.693335i	−0.950714	+	0.310069i
$6$	−1.91253	+	2.27208i	−0.780787	+	0.927573i
$7$	−2.45895	+	0.798960i	−0.929394	+	0.301978i	−0.734315	−	0.678809i	$-0.762496\pi$
$7$	−2.45895	+	0.798960i	−0.929394	+	0.301978i	−0.195079	+	0.980787i	$0.562496\pi$
$8$	2.44287	+	1.42562i	0.863684	+	0.504034i
$9$	1.41006			0.470021
$10$	1.18593	−	2.93148i	0.375023	−	0.927016i
$11$	0.263552	−	1.66400i	0.0794640	−	0.501716i	−0.915568	−	0.402163i	$-0.868259\pi$
$11$	0.263552	−	1.66400i	0.0794640	−	0.501716i	0.995032	−	0.0995532i	$-0.0317413\pi$
$12$	−0.716463	−	4.13847i	−0.206825	−	1.19467i
$13$	−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	$0.615146\pi$
$14$	1.37499	−	3.38805i	0.367482	−	0.905495i
$15$	−4.46434	+	1.45601i	−1.15269	+	0.375941i
$16$	−3.76721	+	1.34468i	−0.941801	+	0.336170i
$17$	−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	$0.948344\pi$
$18$	−1.28417	+	1.52560i	−0.302683	+	0.359586i
$19$	−4.89303	−	2.49312i	−1.12254	−	0.571962i	−0.208675	−	0.977985i	$-0.566915\pi$
$19$	−4.89303	−	2.49312i	−1.12254	−	0.571962i	−0.913863	+	0.406023i	$0.866915\pi$
$20$	2.09163	+	3.95286i	0.467702	+	0.883886i
$21$	−5.16382	+	1.67783i	−1.12684	+	0.366132i
$22$	1.56032	+	1.80059i	0.332662	+	0.383887i
$23$	0.898947	+	1.76428i	0.187443	+	0.367878i	0.965535	−	0.260272i	$-0.0838122\pi$
$23$	0.898947	+	1.76428i	0.187443	+	0.367878i	−0.778092	+	0.628150i	$0.783812\pi$
$24$	5.13006	+	2.99383i	1.04717	+	0.611113i
$25$	4.03857	−	2.94787i	0.807715	−	0.589573i
$26$	0.411759	−	0.256406i	0.0807526	−	0.0502854i
$27$	−3.33889			−0.642570
$28$	2.41342	+	4.57323i	0.456093	+	0.864259i
$29$	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	$0.392450\pi$
$30$	2.49046	−	6.15615i	0.454694	−	1.12395i
$31$	−3.40831	−	4.69114i	−0.612151	−	0.842553i	0.384602	−	0.923083i	$-0.374339\pi$
$31$	−3.40831	−	4.69114i	−0.612151	−	0.842553i	−0.996752	+	0.0805297i	$0.974339\pi$
$32$	1.97602	−	5.30050i	0.349314	−	0.937006i
$33$	0.553463	−	3.49443i	0.0963456	−	0.608302i
$34$	5.22692	+	0.373669i	0.896409	+	0.0640836i
$35$	4.67343	−	3.40335i	0.789954	−	0.575271i
$36$	−0.481071	−	2.77879i	−0.0801786	−	0.463131i
$37$	−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
$40$	−6.18163	−	1.33695i	−0.977402	−	0.211391i
$41$	−4.04939	−	4.96008i	−0.632409	−	0.774635i
$41$	−4.04939	−	4.96008i	−0.632409	−	0.774635i
$42$	2.88751	−	7.11496i	0.445552	−	1.09786i
$43$	6.54514	−	3.33491i	0.998124	−	0.508570i	0.122968	−	0.992411i	$-0.460759\pi$
$43$	6.54514	−	3.33491i	0.998124	−	0.508570i	0.875156	+	0.483841i	$0.160759\pi$
$44$	−3.36914	+	0.0483302i	−0.507917	+	0.00728605i
$45$	−2.99760	+	0.977645i	−0.446855	+	0.145739i
$46$	−2.72753	−	0.634169i	−0.402153	−	0.0935030i
$47$	−0.106482	+	0.327719i	−0.0155320	+	0.0478027i	−0.958522	−	0.285018i	$-0.908000\pi$
$47$	−0.106482	+	0.327719i	−0.0155320	+	0.0478027i	0.942990	+	0.332821i	$0.108000\pi$
$48$	−7.91119	+	2.82385i	−1.14188	+	0.407587i
$49$	−0.255041	+	0.185298i	−0.0364344	+	0.0264711i
$50$	−0.488616	+	7.05417i	−0.0691008	+	0.997610i
$51$	−4.57382	−	6.29532i	−0.640462	−	0.881521i
$52$	−0.0975828	+	0.679012i	−0.0135323	+	0.0941620i
$53$	−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	$0.262091\pi$
$54$	3.04080	−	3.61247i	0.413801	−	0.491595i
$55$	0.593435	+	3.72017i	0.0800188	+	0.501628i
$56$	−7.14589	−	1.55378i	−0.954910	−	0.207632i
$57$	−10.2754	−	5.23560i	−1.36101	−	0.693472i
$58$	−1.41428	+	2.34549i	−0.185704	+	0.307978i
$59$	0.232276	−	0.714873i	0.0302398	−	0.0930686i	−0.934797	−	0.355181i	$-0.884419\pi$
$59$	0.232276	−	0.714873i	0.0302398	−	0.0930686i	0.965037	+	0.262113i	$0.0844192\pi$
$60$	4.39245	+	8.30106i	0.567062	+	1.07166i
$61$	−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	$0.720667\pi$
$62$	8.17953	+	0.584749i	1.03880	+	0.0742632i
$63$	−3.46727	+	1.12658i	−0.436834	+	0.141936i
$64$	3.93520	+	6.96521i	0.491900	+	0.870652i
$65$	0.766957		0.000848241i	0.0951293		0.000105211i
$66$	3.27670	+	3.78127i	0.403334	+	0.465442i
$67$	4.14615	+	3.01235i	0.506532	+	0.368017i	0.811507	−	0.584343i	$-0.198648\pi$
$67$	4.14615	+	3.01235i	0.506532	+	0.368017i	−0.304974	+	0.952361i	$0.598648\pi$
$68$	−5.16456	+	5.31488i	−0.626294	+	0.644524i
$69$	1.88780	+	3.70502i	0.227265	+	0.446032i
$70$	−0.573991	+	8.15586i	−0.0686050	+	0.974812i
$71$	0.805713	−	5.08707i	0.0956206	−	0.603724i	−0.892619	−	0.450812i	$-0.851135\pi$
$71$	0.805713	−	5.08707i	0.0956206	−	0.603724i	0.988240	−	0.152913i	$-0.0488654\pi$
$72$	3.44459	+	2.01022i	0.405949	+	0.236906i
$73$	−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	$0.410005\pi$
$74$	4.40029	−	7.29758i	0.511523	−	0.848327i
$75$	8.48107	−	6.19056i	0.979309	−	0.714825i
$76$	−3.24381	+	10.4932i	−0.372090	+	1.20365i
$77$	0.681411	+	4.30226i	0.0776540	+	0.490288i
$78$	0.864700	−	0.538457i	0.0979080	−	0.0609682i
$79$	2.98448	+	2.98448i	0.335780	+	0.335780i	0.854777	−	0.518996i	$-0.173694\pi$
$79$	2.98448	+	2.98448i	0.335780	+	0.335780i	−0.518996	+	0.854777i	$0.673694\pi$
$80$	7.07624	−	5.47054i	0.791148	−	0.611625i
$81$	−11.2419			−1.24910
$82$	9.05436	+	0.136073i	0.999887	+	0.0150268i
$83$	3.40960	−	3.40960i	0.374252	−	0.374252i	−0.494771	−	0.869023i	$-0.664748\pi$
$83$	3.40960	−	3.40960i	0.374252	−	0.374252i	0.869023	+	0.494771i	$0.164748\pi$
$84$	5.06822	+	9.60385i	0.552988	+	1.04787i
$85$	6.70856	+	4.86272i	0.727645	+	0.527436i
$86$	−2.35264	+	10.1186i	−0.253691	+	1.09112i
$87$	4.01700	−	0.636230i	0.430667	−	0.0682110i
$88$	3.01606	−	3.68921i	0.321513	−	0.393271i
$89$	−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	$0.841537\pi$
$90$	1.67223	−	4.13357i	0.176268	−	0.435716i
$91$	0.886807			0.0929626
$92$	3.17015	−	2.37346i	0.330511	−	0.247451i
$93$	−7.15750	−	9.85146i	−0.742198	−	1.02155i
$94$	−0.257595	−	0.413668i	−0.0265689	−	0.0426666i
$95$	12.1305	+	1.90753i	1.24456	+	0.195708i
$96$	4.14967	−	11.1311i	0.423524	−	1.13607i
$97$	−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	$0.958179\pi$
$98$	0.0317907	−	0.444693i	0.00321135	−	0.0449207i
$99$	0.371625	−	2.34635i	0.0373497	−	0.235817i
$100$	−7.18716	−	6.95304i	−0.718716	−	0.695304i
$101$	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	$0.548358\pi$
$102$	10.9766	+	0.784709i	1.08685	+	0.0776978i
$103$	−0.122261	+	0.239951i	−0.0120467	+	0.0236431i	−0.896951	−	0.442129i	$-0.854223\pi$
$103$	−0.122261	+	0.239951i	−0.0120467	+	0.0236431i	0.884905	+	0.465772i	$0.154223\pi$
$104$	−0.645776	−	0.723969i	−0.0633236	−	0.0709910i
$105$	9.81428	−	7.14709i	0.957775	−	0.697484i
$106$	−0.959537	−	3.87414i	−0.0931984	−	0.376290i
$107$	7.55036	−	14.8184i	0.729921	−	1.43255i	−0.164986	−	0.986296i	$-0.552758\pi$
$107$	7.55036	−	14.8184i	0.729921	−	1.43255i	0.894906	−	0.446254i	$-0.147242\pi$
$108$	1.13913	+	6.57991i	0.109613	+	0.633152i
$109$	−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	$0.947977\pi$
$110$	−4.56544	−	2.74598i	−0.435298	−	0.261819i
$111$	−12.4982	+	1.97952i	−1.18628	+	0.187888i
$112$	8.18901	−	6.31634i	0.773789	−	0.596838i
$113$	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
$116$	−1.24965	−	3.66625i	−0.116027	−	0.340403i
$117$	−0.459971	−	0.149454i	−0.0425244	−	0.0138170i
$118$	0.561908	+	0.902359i	0.0517278	+	0.0830689i
$119$	7.75065	+	5.63118i	0.710501	+	0.516209i
$120$	−12.9815	−	2.80762i	−1.18504	−	0.256299i
$121$	7.76218	+	2.52208i	0.705652	+	0.229280i
$122$	7.02329	−	17.3057i	0.635858	−	1.56679i
$123$	−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
$126$	1.93882	−	4.77736i	0.172724	−	0.425601i
$127$	2.73983	+	17.2986i	0.243121	+	1.53501i	0.743226	+	0.669041i	$0.233295\pi$
$127$	2.73983	+	17.2986i	0.243121	+	1.53501i	−0.500105	+	0.865965i	$0.666705\pi$
$128$	−11.1198	−	2.08574i	−0.982860	−	0.184355i
$129$	13.7449	−	7.00337i	1.21017	−	0.616612i
$130$	−0.697567	+	0.830571i	−0.0611807	+	0.0728459i
$131$	9.31490	−	6.76767i	0.813847	−	0.591294i	−0.101097	−	0.994877i	$-0.532235\pi$
$131$	9.31490	−	6.76767i	0.813847	−	0.591294i	0.914943	+	0.403582i	$0.132235\pi$
$132$	−7.07525	+	0.101494i	−0.615821	+	0.00883392i
$133$	14.0236	+	2.22112i	1.21600	+	0.192596i
$134$	−7.03516	+	1.74245i	−0.607745	+	0.150525i
$135$	7.09803	−	2.31497i	0.610901	−	0.199241i
$136$	−1.04689	−	10.4281i	−0.0897699	−	0.894202i
$137$		−	11.8267i		−	1.01042i	−0.862997	−	0.505210i	$-0.831415\pi$
$137$		−	11.8267i		−	1.01042i	0.862997	−	0.505210i	$-0.168585\pi$
$138$	−5.72786	−	1.33176i	−0.487588	−	0.113367i
$139$	4.14273	+	12.7500i	0.351382	+	1.08144i	0.958078	+	0.286508i	$0.0924946\pi$
$139$	4.14273	+	12.7500i	0.351382	+	1.08144i	−0.606696	+	0.794934i	$0.707505\pi$
$140$	−8.30137	−	8.04874i	−0.701594	−	0.680243i
$141$	−0.223614	+	0.688214i	−0.0188317	+	0.0579581i
$142$	4.77011	+	5.50464i	0.400298	+	0.461939i
$143$	−0.262342	+	0.514874i	−0.0219381	+	0.0430560i
$144$	−5.31199	+	1.89608i	−0.442666	+	0.158007i
$145$	−3.85638	+	1.97030i	−0.320255	+	0.163624i
$146$	−0.996670	−	11.5997i	−0.0824850	−	0.959995i
$147$	−0.535589	+	0.389128i	−0.0441747	+	0.0320948i
$148$	3.88808	+	11.4069i	0.319598	+	0.937641i
$149$	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	$0.732125\pi$
$150$	−1.02610	+	14.8139i	−0.0837808	+	1.20955i
$151$	0.318835	+	0.625749i	0.0259464	+	0.0509227i	0.903616	−	0.428344i	$-0.140903\pi$
$151$	0.318835	+	0.625749i	0.0259464	+	0.0509227i	−0.877669	+	0.479266i	$0.840903\pi$
$152$	−8.39877	−	13.0660i	−0.681230	−	1.05979i
$153$	−3.07110	−	4.22701i	−0.248284	−	0.341734i
$154$	−5.27535	−	3.18092i	−0.425100	−	0.256326i
$155$	10.4981	+	7.60961i	0.843230	+	0.611218i
$156$	−0.204925	+	1.42593i	−0.0164072	+	0.114166i
$157$	−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	$0.946027\pi$
$158$	−5.94705	+	0.510984i	−0.473122	+	0.0406517i
$159$	−3.48361	+	4.79478i	−0.276268	+	0.380251i
$160$	−0.525722	+	12.6382i	−0.0415620	+	0.999136i
$161$	−3.62005	−	3.62005i	−0.285300	−	0.285300i
$162$	10.2383	−	12.1630i	0.804393	−	0.955618i
$163$	6.74321	−	6.74321i	0.528169	−	0.528169i	−0.391857	−	0.920026i	$-0.628167\pi$
$163$	6.74321	−	6.74321i	0.528169	−	0.528169i	0.920026	+	0.391857i	$0.128167\pi$
$164$	−8.39323	+	9.67232i	−0.655401	+	0.755281i
$165$	1.24622	+	7.81241i	0.0970183	+	0.608195i
$166$	0.583770	+	6.79417i	0.0453094	+	0.527329i
$167$		−	4.00341i		−	0.309793i	−0.987931	−	0.154896i	$-0.950496\pi$
$167$		−	4.00341i		−	0.309793i	0.987931	−	0.154896i	$-0.0495044\pi$
$168$	−15.0065	−	3.26295i	−1.15778	−	0.251742i
$169$	−10.4220	−	7.57206i	−0.801696	−	0.582466i
$170$	−11.3708	+	2.82964i	−0.872099	+	0.217023i
$171$	−6.89947	−	3.51546i	−0.527616	−	0.268834i
$172$	−8.80508	−	11.7606i	−0.671381	−	0.896740i
$173$	−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	$0.279027\pi$
$174$	−2.97001	+	4.92556i	−0.225156	+	0.373406i
$175$	−7.57541	+	10.4753i	−0.572647	+	0.791859i
$176$	1.24470	+	6.62303i	0.0938225	+	0.499230i
$177$	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	−0.980016	−	0.198920i	$-0.936257\pi$
$179$	−24.7593	+	3.92149i	−1.85060	+	0.293106i	−0.870581	+	0.492026i	$0.836257\pi$
$180$	2.94932	+	5.57378i	0.219829	+	0.415445i
$181$	−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	$0.693452\pi$
$182$	−0.807634	+	0.959468i	−0.0598658	+	0.0711205i
$183$	−26.3761	+	8.57013i	−1.94978	+	0.633522i
$184$	−0.319193	+	5.59147i	−0.0235312	+	0.412209i
$185$	11.9985	−	6.13025i	0.882144	−	0.450705i
$186$	17.1771	+	1.22798i	1.25949	+	0.0900399i
$187$	−5.56228	+	2.83412i	−0.406754	+	0.207252i
$188$	0.682159	+	0.0980352i	0.0497516	+	0.00714995i
$189$	8.21016	−	2.66764i	0.597201	−	0.194042i
$190$	−13.1113	+	11.3872i	−0.951195	+	0.826112i
$191$	6.92705	+	6.92705i	0.501224	+	0.501224i	0.911818	−	0.410594i	$-0.134679\pi$
$191$	6.92705	+	6.92705i	0.501224	+	0.501224i	−0.410594	+	0.911818i	$0.634679\pi$
$192$	8.26398	+	14.6271i	0.596401	+	1.05562i
$193$	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	$0.0935712\pi$
$194$	−4.61236	−	18.6224i	−0.331148	−	1.33701i
$195$	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	$0.345327\pi$
$198$	2.20015	+	2.53894i	0.156358	+	0.180435i
$199$	5.92029	+	11.6192i	0.419678	+	0.823665i	0.999957	+	0.00924711i	$0.00294349\pi$
$199$	5.92029	+	11.6192i	0.419678	+	0.823665i	−0.580279	+	0.814418i	$0.697057\pi$
$200$	14.0682	−	1.44376i	0.994775	−	0.102090i
$201$	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
$210$	−1.20539	+	17.1274i	−0.0831797	+	1.18190i
$211$	−14.5409	+	7.40894i	−1.00103	+	0.510052i	−0.876109	−	0.482114i	$-0.839869\pi$
$211$	−14.5409	+	7.40894i	−1.00103	+	0.510052i	−0.124925	+	0.992166i	$0.539869\pi$
$212$	5.06544	+	2.49011i	0.347896	+	0.171021i
$213$	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
$216$	−8.15647	−	4.76000i	−0.554978	−	0.323877i
$217$	12.1289	+	8.81215i	0.823362	+	0.598208i
$218$	17.1417	−	1.47286i	1.16098	−	0.0997544i
$219$	−12.2246	+	12.2246i	−0.826063	+	0.826063i
$220$	7.12882	−	2.43869i	0.480625	−	0.164416i
$221$	0.392741	+	1.20873i	0.0264186	+	0.0813082i
$222$	9.24066	−	15.3250i	0.620193	−	1.02855i
$223$	−9.22759	−	18.1102i	−0.617925	−	1.21275i	−0.961806	−	0.273733i	$-0.911742\pi$
$223$	−9.22759	−	18.1102i	−0.617925	−	1.21275i	0.343881	−	0.939013i	$-0.388258\pi$
$224$	−0.624036	+	14.6124i	−0.0416951	+	0.976333i
$225$	5.69464	−	4.15667i	0.379643	−	0.277112i
$226$	−17.4270	+	15.1016i	−1.15923	+	1.00454i
$227$	−3.01192	−	9.26974i	−0.199908	−	0.615255i	−0.999884	−	0.0152223i	$-0.995154\pi$
$227$	−3.01192	−	9.26974i	−0.199908	−	0.615255i	0.799976	−	0.600032i	$-0.204846\pi$
$228$	−6.81204	+	22.0359i	−0.451138	+	1.45936i
$229$	−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	$0.753422\pi$
$230$	6.23805	−	0.542938i	0.411325	−	0.0358003i
$231$	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	$0.511850\pi$
$234$	0.580605	−	0.361549i	0.0379554	−	0.0236352i
$235$	−0.000852174	−	0.770513i	−5.55897e−5	−	0.0502627i
$236$	−1.48804	−	0.213850i	−0.0968630	−	0.0139205i
$237$	6.26745	+	6.26745i	0.407115	+	0.407115i
$238$	−13.1513	+	3.25727i	−0.852470	+	0.211137i
$239$	3.49770	−	6.86461i	0.226247	−	0.444035i	−0.749779	−	0.661688i	$-0.769840\pi$
$239$	3.49770	−	6.86461i	0.226247	−	0.444035i	0.976026	+	0.217653i	$0.0698402\pi$
$240$	14.8602	−	11.4882i	0.959223	−	0.741561i
$241$	−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	$0.392285\pi$
$242$	−9.79792	+	6.10126i	−0.629834	+	0.392204i
$243$	−13.5915			−0.871895
$244$	12.3274	+	23.3595i	0.789183	+	1.49544i
$245$	0.413708	−	0.570746i	0.0264308	−	0.0364636i
$246$	19.0143	+	0.285755i	1.21231	+	0.0182191i
$247$	1.33189	+	1.33189i	0.0847461	+	0.0847461i
$248$	−1.63826	−	16.3188i	−0.104030	−	1.03624i
$249$	7.16021	−	7.16021i	0.453760	−	0.453760i
$250$	−3.85217	−	15.3350i	−0.243632	−	0.969868i
$251$	9.97517	+	7.24738i	0.629627	+	0.457451i	0.856271	−	0.516527i	$-0.172775\pi$
$251$	9.97517	+	7.24738i	0.629627	+	0.457451i	−0.226644	+	0.973978i	$0.572775\pi$
$252$	3.40307	+	6.44853i	0.214373	+	0.406219i
$253$	3.17269	−	1.03087i	0.199465	−	0.0648102i
$254$	−21.2112	−	12.7899i	−1.33091	−	0.802511i
$255$	14.0881	+	10.2118i	0.882229	+	0.639487i
$256$	12.3837	−	10.1314i	0.773980	−	0.633211i
$257$	−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	$0.331345\pi$
$258$	−4.94057	+	21.2492i	−0.307587	+	1.32292i
$259$	13.8812	−	7.07285i	0.862538	−	0.439485i
$260$	−0.263335	−	1.51114i	−0.0163313	−	0.0937170i
$261$	2.69722	−	0.427198i	0.166954	−	0.0264429i
$262$	−1.16110	+	16.2416i	−0.0717330	+	1.00341i
$263$	−6.03076	−	8.30063i	−0.371873	−	0.511839i	0.581536	−	0.813521i	$-0.302452\pi$
$263$	−6.03076	−	8.30063i	−0.371873	−	0.511839i	−0.953409	+	0.301682i	$0.902452\pi$
$264$	6.33378	−	7.74740i	0.389817	−	0.476819i
$265$	1.94346	−	6.00393i	0.119386	−	0.368818i
$266$	−15.1747	+	13.1498i	−0.930421	+	0.806267i
$267$	−19.9847	−	10.1827i	−1.22304	−	0.623173i
$268$	4.52186	−	9.19848i	0.276216	−	0.561886i
$269$	−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	$0.783631\pi$
$270$	−3.95968	+	9.78790i	−0.240978	+	0.595673i
$271$	14.4778	−	4.70412i	0.879464	−	0.285755i	0.165729	−	0.986171i	$-0.447002\pi$
$271$	14.4778	−	4.70412i	0.879464	−	0.285755i	0.713735	+	0.700416i	$0.247002\pi$
$272$	12.2360	+	8.36444i	0.741914	+	0.507169i
$273$	1.86231			0.112712
$274$	12.7957	+	10.7708i	0.773016	+	0.650688i
$275$	−3.84088	−	7.49712i	−0.231614	−	0.452093i
$276$	6.65737	−	4.98431i	0.400727	−	0.300020i
$277$	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	$-0.235752\pi$
$278$	−17.5676	−	7.12955i	−1.05363	−	0.427602i
$279$	−4.80593	−	6.61479i	−0.287723	−	0.396017i
$280$	16.2685	−	1.65138i	0.972227	−	0.0986890i
$281$	−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	$-0.320833\pi$
$282$	−0.540953	−	0.868708i	−0.0322133	−	0.0517308i
$283$	1.73768	−	0.275221i	0.103294	−	0.0163602i	−0.104573	−	0.994517i	$-0.533348\pi$
$283$	1.73768	−	0.275221i	0.103294	−	0.0163602i	0.207868	+	0.978157i	$0.433348\pi$
$284$	−10.2999	+	0.147752i	−0.611187	+	0.00876745i
$285$	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
$288$	2.78631	−	7.47404i	0.164185	−	0.440412i
$289$	1.01044	−	3.10980i	0.0594374	−	0.182930i
$290$	1.38035	−	5.96675i	0.0810571	−	0.350380i
$291$	−16.7452	+	23.0478i	−0.981622	+	1.35109i
$292$	13.4578	+	9.48574i	0.787557	+	0.555111i
$293$	−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	$0.788380\pi$
$294$	0.0667610	−	0.933861i	0.00389358	−	0.0544639i
$295$	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
$298$	−18.6938	−	11.2720i	−1.08290	−	0.652967i
$299$	−0.106244	−	0.670801i	−0.00614427	−	0.0387934i
$300$	−15.0931	−	14.6015i	−0.871403	−	0.843017i
$301$	−13.4297	+	13.4297i	−0.774074	+	0.774074i
$302$	−0.967390	−	0.224924i	−0.0556671	−	0.0129429i
$303$	11.8062	+	6.01555i	0.678247	+	0.345584i
$304$	21.7855	+	2.81255i	1.24948	+	0.161311i
$305$	23.8713	−	17.3839i	1.36687	−	0.995398i
$306$	7.37028	+	0.526896i	0.421331	+	0.0301206i
$307$	−2.04057	−	1.03972i	−0.116462	−	0.0593402i	0.394789	−	0.918772i	$-0.370818\pi$
$307$	−2.04057	−	1.03972i	−0.116462	−	0.0593402i	−0.511251	+	0.859432i	$0.670818\pi$
$308$	8.24593	−	2.81065i	0.469855	−	0.160152i
$309$	−0.256750	+	0.503901i	−0.0146060	+	0.0286659i
$310$	−17.7940	+	4.42806i	−1.01063	+	0.251497i
$311$	−12.8133	−	2.02943i	−0.726576	−	0.115078i	−0.217820	−	0.975989i	$-0.569895\pi$
$311$	−12.8133	−	2.02943i	−0.726576	−	0.115078i	−0.508756	+	0.860911i	$0.669895\pi$
$312$	−1.35614	−	1.52035i	−0.0767763	−	0.0860726i
$313$	−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	$0.784429\pi$
$314$	4.73186	+	1.92036i	0.267034	+	0.108372i
$315$	6.58983	−	4.79893i	0.371295	−	0.270389i
$316$	4.86326	−	6.89969i	0.273580	−	0.388138i
$317$	−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	$0.382697\pi$
$318$	−2.01504	−	8.13575i	−0.112998	−	0.456230i
$319$		−	3.26282i		−	0.182683i
$320$	−13.1949	−	12.0787i	−0.737618	−	0.675218i
$321$	15.8559	−	31.1189i	0.884988	−	1.73689i
$322$	7.21353	−	0.619803i	0.401994	−	0.0345403i
$323$	3.18322	+	20.0981i	0.177119	+	1.11829i
$324$	3.83541	+	22.1543i	0.213078	+	1.23079i
$325$	−1.62986	+	0.533561i	−0.0904082	+	0.0295966i
$326$	1.15453	+	13.4369i	0.0639435	+	0.744202i
$327$	−18.0653	−	18.0653i	−0.999011	−	0.999011i
$328$	−2.82092	−	17.8897i	−0.155759	−	0.987795i
$329$		−	0.890918i		−	0.0491179i
$330$	−9.58749	−	5.76660i	−0.527774	−	0.317441i
$331$	19.3580	−	19.3580i	1.06401	−	1.06401i	0.0662078	−	0.997806i	$-0.478910\pi$
$331$	19.3580	−	19.3580i	1.06401	−	1.06401i	0.997806	−	0.0662078i	$-0.0210900\pi$
$332$	−7.88250	−	5.55599i	−0.432609	−	0.304925i
$333$	−8.39195	+	1.32915i	−0.459876	+	0.0728372i
$334$	4.33143	+	3.64599i	0.237005	+	0.199500i
$335$	−10.9027	−	3.52918i	−0.595678	−	0.192819i
$336$	17.1970	−	13.2644i	0.938175	−	0.723633i
$337$	−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	$0.872547\pi$
$338$	17.6841	−	4.37994i	0.961886	−	0.238237i
$339$	33.8208	+	5.35670i	1.83690	+	0.290936i
$340$	7.29414	−	14.8795i	0.395580	−	0.806953i
$341$	−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
$344$	20.7432	+	1.18414i	1.11840	+	0.0638447i
$345$	−6.58203	−	6.56748i	−0.354364	−	0.353581i
$346$	−0.290016	−	3.37533i	−0.0155914	−	0.181459i
$347$	5.01395	+	15.4314i	0.269163	+	0.828399i	0.990705	+	0.136028i	$0.0434337\pi$
$347$	5.01395	+	15.4314i	0.269163	+	0.828399i	−0.721542	+	0.692371i	$0.756566\pi$
$348$	−2.62429	−	7.69917i	−0.140677	−	0.412719i
$349$	−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	$-0.292923\pi$
$350$	−4.43452	−	17.7362i	−0.237035	−	0.948040i
$351$	1.08917	+	0.353892i	0.0581355	+	0.0188894i
$352$	−8.29927	−	4.68506i	−0.442353	−	0.249715i
$353$	−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	$0.259146\pi$
$354$	1.18001	+	1.89497i	0.0627171	+	0.100716i
$355$	1.81421	+	11.3730i	0.0962882	+	0.603618i
$356$	−6.30888	+	20.4083i	−0.334370	+	1.08164i
$357$	16.2765	+	11.8256i	0.861443	+	0.625875i
$358$	18.3060	−	30.3593i	0.967504	−	1.60454i
$359$	20.0090	−	14.5374i	1.05604	−	0.767256i	0.0826856	−	0.996576i	$-0.473650\pi$
$359$	20.0090	−	14.5374i	1.05604	−	0.767256i	0.973351	+	0.229320i	$0.0736503\pi$
$360$	−8.71648	−	1.88518i	−0.459399	−	0.0993579i
$361$	6.55816	+	9.02653i	0.345166	+	0.475081i
$362$	−22.4320	−	25.8862i	−1.17900	−	1.36055i
$363$	16.3007	+	5.29641i	0.855564	+	0.277990i
$364$	−0.302552	−	1.74762i	−0.0158580	−	0.0916000i
$365$	8.33903	−	16.4111i	0.436485	−	0.858997i
$366$	14.7490	−	36.3423i	0.770943	−	1.89964i
$367$	−7.04995	−	13.8363i	−0.368005	−	0.722250i	0.630541	−	0.776156i	$-0.282833\pi$
$367$	−7.04995	−	13.8363i	−0.368005	−	0.722250i	−0.998546	+	0.0539059i	$0.982833\pi$
$368$	−5.75891	−	5.43762i	−0.300204	−	0.283456i
$369$	−5.70989	−	6.99402i	−0.297245	−	0.364094i
$370$	−4.29473	+	18.5645i	−0.223272	+	0.965123i
$371$	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	$0.771219\pi$
$374$	1.99935	−	8.59913i	0.103384	−	0.444650i
$375$	−13.7374	+	19.0405i	−0.709398	+	0.983247i
$376$	−0.727325	+	0.648770i	−0.0375089	+	0.0334578i
$377$	−0.656093	−	0.103915i	−0.0337905	−	0.00535189i
$378$	−4.59096	+	11.3123i	−0.236133	+	0.581844i
$379$	−26.9358	+	19.5700i	−1.38360	+	1.00524i	−0.387067	+	0.922052i	$0.626512\pi$
$379$	−26.9358	+	19.5700i	−1.38360	+	1.00524i	−0.996533	+	0.0831929i	$0.973488\pi$
$380$	−0.379421	−	24.5561i	−0.0194639	−	1.25970i
$381$	5.75369	+	36.3274i	0.294771	+	1.86111i
$382$	−13.8033	+	1.18601i	−0.706236	+	0.0606814i
$383$			0.951132i			0.0486006i	0.999705	+	0.0243003i	$0.00773578\pi$
$383$			0.951132i			0.0486006i	−0.999705	+	0.0243003i	$0.992264\pi$
$384$	−23.3517	−	4.38008i	−1.19166	−	0.223520i
$385$	−4.43149	−	8.67356i	−0.225850	−	0.442046i
$386$	3.10005	+	12.5165i	0.157788	+	0.637072i
$387$	9.22905	−	4.70243i	0.469139	−	0.239038i
$388$	24.3489	+	11.9696i	1.23613	+	0.607664i
$389$	−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	$-0.459426\pi$
$390$	−1.46490	+	1.74421i	−0.0741781	+	0.0883216i
$391$	3.33098	−	6.53742i	0.168455	−	0.330611i
$392$	−0.887196	+	0.0890664i	−0.0448101	+	0.00449853i
$393$	19.5614	−	14.2122i	0.986743	−	0.716911i
$394$	−17.9889	+	15.5885i	−0.906267	+	0.785335i
$395$	−8.41384	−	4.27535i	−0.423346	−	0.215116i
$396$	−4.75070	+	0.0681485i	−0.238732	+	0.00342459i
$397$	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	$0.0698008\pi$
$398$	−17.9630	−	4.17651i	−0.900403	−	0.209349i
$399$	29.4498	+	4.66439i	1.47433	+	0.233511i
$400$	−11.2502	+	16.5358i	−0.562510	+	0.826790i
$401$			11.2053i			0.559564i	0.960064	+	0.279782i	$0.0902621\pi$
$401$			11.2053i			0.559564i	−0.960064	+	0.279782i	$0.909738\pi$
$402$	−14.7739	+	3.65917i	−0.736857	+	0.182503i
$403$	0.614595	+	1.89153i	0.0306152	+	0.0942238i
$404$	3.72704	−	12.0564i	0.185427	−	0.599828i
$405$	23.8987	−	7.79441i	1.18754	−	0.387307i
$406$	1.60368	−	6.89738i	0.0795895	−	0.342311i
$407$			10.1517i			0.503201i
$408$	−2.19848	−	21.8992i	−0.108841	−	1.08417i
$409$		−	1.00084i		−	0.0494885i	−0.999694	−	0.0247442i	$-0.992123\pi$
$409$		−	1.00084i		−	0.0494885i	0.999694	−	0.0247442i	$-0.00787714\pi$
$410$	−19.3427	+	5.98843i	−0.955266	+	0.295747i
$411$		−	24.8362i		−	1.22508i
$412$	0.514580	+	0.159074i	0.0253515	+	0.00783702i
$413$			1.94341i			0.0956292i
$414$	−3.84599	−	0.894217i	−0.189020	−	0.0439484i
$415$	−4.88434	+	9.61233i	−0.239763	+	0.471851i
$416$	−1.20640	+	1.51962i	−0.0591484	+	0.0745054i
$417$	8.69980	+	26.7752i	0.426031	+	1.31119i
$418$	−3.14561	−	12.7004i	−0.153857	−	0.621198i
$419$		−	19.9788i		−	0.976027i	−0.872836	−	0.488013i	$-0.837722\pi$
$419$		−	19.9788i		−	0.976027i	0.872836	−	0.488013i	$-0.162278\pi$
$420$	−17.4330	−	16.9025i	−0.850643	−	0.824757i
$421$	−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	$0.738873\pi$
$422$	5.22669	−	22.4798i	0.254431	−	1.09430i
$423$	−0.150147	+	0.462104i	−0.00730038	+	0.0224683i
$424$	−7.30735	+	3.21269i	−0.354876	+	0.156022i
$425$	−17.6330	−	5.68620i	−0.855324	−	0.275821i
$426$	10.0173	+	11.5598i	0.485339	+	0.560075i
$427$	27.6238	−	20.0698i	1.33681	−	0.971248i
$428$	−31.7784	−	9.82378i	−1.53607	−	0.474850i
$429$	−0.550921	+	1.08124i	−0.0265987	+	0.0522029i
$430$	−2.01419	−	23.1419i	−0.0971330	−	1.11600i
$431$	−7.58360	−	23.3399i	−0.365289	−	1.12425i	−0.949800	−	0.312859i	$-0.898713\pi$
$431$	−7.58360	−	23.3399i	−0.365289	−	1.12425i	0.584510	−	0.811386i	$-0.301287\pi$
$432$	12.5783	−	4.48974i	0.605174	−	0.216013i
$433$	−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	$0.463979\pi$
$434$	−20.5802	+	5.09725i	−0.987882	+	0.244676i
$435$	−8.09846	+	4.13766i	−0.388291	+	0.198386i
$436$	−14.0178	+	19.8876i	−0.671331	+	0.952444i
$437$		−	10.8739i		−	0.520168i
$438$	−2.09302	−	24.3595i	−0.100008	−	1.16394i
$439$	−6.35765	−	40.1406i	−0.303434	−	1.91581i	−0.392443	−	0.919776i	$-0.628370\pi$
$439$	−6.35765	−	40.1406i	−0.303434	−	1.91581i	0.0890090	−	0.996031i	$-0.471630\pi$
$440$	−3.85387	+	9.93389i	−0.183726	+	0.473580i
$441$	−0.359623	+	0.261282i	−0.0171249	+	0.0124420i
$442$	−1.66545	−	0.675899i	−0.0792174	−	0.0321492i
$443$	12.3890	+	1.96222i	0.588617	+	0.0932278i	0.443637	−	0.896207i	$-0.353688\pi$
$443$	12.3890	+	1.96222i	0.588617	+	0.0932278i	0.144980	+	0.989435i	$0.453688\pi$
$444$	8.16502	+	23.9546i	0.387495	+	1.13684i
$445$	23.5926	+	3.70996i	1.11840	+	0.175869i
$446$	27.9978	+	6.50966i	1.32573	+	0.308242i
$447$	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	$0.0868282\pi$
$450$	−0.688979	+	9.94681i	−0.0324788	+	0.468897i
$451$	−9.32082	+	5.43096i	−0.438900	+	0.255734i
$452$	−0.467764	−	32.6083i	−0.0220017	−	1.53376i
$453$	0.669558	+	1.31408i	0.0314586	+	0.0617410i
$454$	12.7723	+	5.18345i	0.599433	+	0.243272i
$455$	−1.88523	+	0.614854i	−0.0883809	+	0.0288248i
$456$	−17.6375	−	27.4388i	−0.825954	−	1.28494i
$457$	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	$0.480765\pi$
$458$	19.2931	−	16.7186i	0.901507	−	0.781211i
$459$	7.27209	+	10.0092i	0.339432	+	0.467188i
$460$	−5.09370	+	7.24363i	−0.237495	+	0.337736i
$461$	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	$0.0594809\pi$
$462$	−11.0783	−	6.67998i	−0.515409	−	0.310781i
$463$	−4.37375	−	3.17772i	−0.203265	−	0.147681i	0.481496	−	0.876448i	$-0.340094\pi$
$463$	−4.37375	−	3.17772i	−0.203265	−	0.147681i	−0.684761	+	0.728767i	$0.740094\pi$
$464$	−6.79868	+	3.71349i	−0.315621	+	0.172394i
$465$	22.0462	+	15.9803i	1.02237	+	0.741068i
$466$	−10.0201	+	6.23959i	−0.464170	+	0.289043i
$467$	0.286197	−	0.561693i	0.0132436	−	0.0259921i	−0.884290	−	0.466938i	$-0.845357\pi$
$467$	0.286197	−	0.561693i	0.0132436	−	0.0259921i	0.897534	+	0.440946i	$0.145357\pi$
$468$	−0.137598	+	0.957448i	−0.00636046	+	0.0442581i
$469$	−12.6019	−	4.09460i	−0.581902	−	0.189071i
$470$	0.834421	+	0.700801i	0.0384890	+	0.0323255i
$471$	−2.34331	−	7.21196i	−0.107974	−	0.332309i
$472$	1.58656	−	1.41520i	0.0730274	−	0.0651400i
$473$	−3.82432	−	11.7701i	−0.175842	−	0.541187i
$474$	−12.4889	+	1.07307i	−0.573634	+	0.0492879i
$475$	−27.1103	+	4.35534i	−1.24390	+	0.199837i
$476$	8.45299	−	17.1953i	0.387442	−	0.788145i
$477$	−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	0.250483	−	0.968121i	$-0.419411\pi$
$479$	25.8461	−	13.1693i	1.18094	−	0.601719i	0.930456	+	0.366403i	$0.119411\pi$
$480$	−1.10402	+	26.5404i	−0.0503915	+	1.21140i
$481$	2.04132	+	0.323313i	0.0930762	+	0.0147418i
$482$	−5.99603	−	24.2090i	−0.273112	−	1.10269i
$483$	−7.60217	−	7.60217i	−0.345911	−	0.345911i
$484$	2.32201	−	16.1573i	0.105546	−	0.734421i
$485$	9.34192	−	28.8600i	0.424195	−	1.31047i
$486$	12.3781	−	14.7051i	0.561481	−	0.667038i
$487$	−35.0876	+	5.55732i	−1.58997	+	0.251826i	−0.887816	−	0.460199i	$-0.847778\pi$
$487$	−35.0876	+	5.55732i	−1.58997	+	0.251826i	−0.702153	+	0.712026i	$0.747778\pi$
$488$	−36.5003	−	7.93648i	−1.65229	−	0.359268i
$489$	14.1608	−	14.1608i	0.640376	−	0.640376i
$490$	0.240738	+	0.967397i	0.0108754	+	0.0437025i
$491$			36.2381i			1.63540i	0.575641	+	0.817702i	$0.304752\pi$
$491$			36.2381i			1.63540i	−0.575641	+	0.817702i	$0.695248\pi$
$492$	−17.6259	+	20.3120i	−0.794637	+	0.915736i
$493$	−5.07437	−	5.07437i	−0.228538	−	0.228538i
$494$	−2.65400	+	0.228038i	−0.119409	+	0.0102599i
$495$	0.836780	+	5.24567i	0.0376105	+	0.235775i
$496$	19.1479	+	13.0894i	0.859765	+	0.587731i
$497$	2.08316	+	13.1526i	0.0934426	+	0.589973i
$498$	1.22593	+	14.2678i	0.0549351	+	0.639357i
$499$	0.869372	−	1.70624i	0.0389184	−	0.0763817i	−0.870728	−	0.491764i	$-0.836352\pi$
$499$	0.869372	−	1.70624i	0.0389184	−	0.0763817i	0.909647	+	0.415382i	$0.136352\pi$
$500$	20.0997	+	9.79808i	0.898885	+	0.438184i
$501$		−	8.40721i		−	0.375606i
$502$	−16.9258	+	4.19214i	−0.755436	+	0.187104i
$503$	−4.28649	+	3.11432i	−0.191125	+	0.138861i	−0.679233	−	0.733923i	$-0.737687\pi$
$503$	−4.28649	+	3.11432i	−0.191125	+	0.138861i	0.488108	+	0.872783i	$0.337687\pi$
$504$	−10.0762	−	2.19092i	−0.448827	−	0.0975913i
$505$	−13.9376	−	2.19169i	−0.620213	−	0.0975291i
$506$	−1.77411	+	4.37148i	−0.0788686	+	0.194336i
$507$	−21.8864	−	15.9014i	−0.972011	−	0.706207i
$508$	33.1554	−	11.3011i	1.47103	−	0.501407i
$509$	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	$0.352325\pi$
$510$	−23.8788	+	5.94228i	−1.05737	+	0.263129i
$511$	9.66312	−	18.9649i	0.427471	−	0.838959i
$512$	−0.316592	+	22.6252i	−0.0139915	+	0.999902i
$513$	16.3373	+	8.32427i	0.721310	+	0.367526i
$514$	0.317875	−	4.44647i	0.0140209	−	0.196125i
$515$	0.0935439	−	0.594870i	0.00412204	−	0.0262131i
$516$	−18.4908	−	24.6975i	−0.814012	−	1.08725i
$517$	0.517261	+	0.263558i	0.0227491	+	0.0115913i
$518$	−4.98959	+	21.4600i	−0.219230	+	0.942899i
$519$	−3.55718	+	3.55718i	−0.156143	+	0.156143i
$520$	1.87478	+	1.09132i	0.0822147	+	0.0478575i
$521$	−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	$-0.120696\pi$
$522$	−1.99422	+	3.30728i	−0.0872847	+	0.144756i
$523$	3.60429	−	22.7566i	0.157605	−	0.995076i	−0.774418	−	0.632675i	$-0.781957\pi$
$523$	3.60429	−	22.7566i	0.157605	−	0.995076i	0.932022	−	0.362401i	$-0.118043\pi$
$524$	−16.5149	−	16.0478i	−0.721458	−	0.701052i
$525$	−15.9085	+	21.9983i	−0.694303	+	0.960084i
$526$	14.4731	+	1.03467i	0.631057	+	0.0451138i
$527$	−6.63958	+	20.4345i	−0.289225	+	0.890142i
$528$	2.61388	+	13.9085i	0.113754	+	0.605288i
$529$	11.2145	−	15.4354i	0.487586	−	0.671104i
$530$	4.72592	+	7.57060i	0.205281	+	0.328846i
$531$	0.327524	−	1.00802i	0.0142133	−	0.0437442i
$532$	−0.407309	−	28.3939i	−0.0176591	−	1.23103i
$533$	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
$536$	5.83401	+	13.2696i	0.251991	+	0.573160i
$537$	−51.9949	+	8.23518i	−2.24374	+	0.355374i
$538$	21.4781	−	13.3747i	0.925989	−	0.576622i
$539$	0.241120	+	0.473224i	0.0103858	+	0.0203832i
$540$	−6.98372	−	13.1982i	−0.300531	−	0.567959i
$541$	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	$0.712673\pi$
$542$	−8.09569	+	19.9482i	−0.347740	+	0.856848i
$543$	−7.95687	+	50.2377i	−0.341462	+	2.15591i
$544$	−20.1933	+	5.62085i	−0.865782	+	0.240992i
$545$	24.2520	+	12.3232i	1.03884	+	0.527869i
$546$	−1.69604	+	2.01490i	−0.0725840	+	0.0862296i
$547$	39.8641			1.70447			0.852233	−	0.523162i	$-0.175248\pi$
$547$	39.8641			1.70447			0.852233	+	0.523162i	$0.175248\pi$
$548$	−23.3066	+	4.03491i	−0.995610	+	0.172363i
$549$	−17.7103	+	5.75444i	−0.755859	+	0.245593i
$550$	11.6094	+	2.67220i	0.495025	+	0.113943i
$551$	−10.1149	−	3.28654i	−0.430910	−	0.140011i
$552$	−0.670311	+	11.7422i	−0.0285303	+	0.499780i
$553$	−9.72316	−	4.95420i	−0.413471	−	0.210674i
$554$	24.1048	+	27.8166i	1.02412	+	1.18182i
$555$	25.1969	−	12.8736i	1.06955	−	0.546454i
$556$	23.7129	−	12.5140i	1.00565	−	0.530710i
$557$	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	$0.552596\pi$
$558$	11.5336	+	0.824532i	0.488258	+	0.0349052i
$559$	−2.48854	+	0.394146i	−0.105254	+	0.0166706i
$560$	−13.0294	+	19.1054i	−0.550591	+	0.807350i
$561$	−11.6809	+	5.95170i	−0.493167	+	0.251281i
$562$	23.6121	+	5.48996i	0.996016	+	0.231580i
$563$	9.06831	−	6.58851i	0.382184	−	0.277673i	−0.380061	−	0.924961i	$-0.624097\pi$
$563$	9.06831	−	6.58851i	0.382184	−	0.277673i	0.762245	+	0.647289i	$0.224097\pi$
$564$	1.43254	+	0.205875i	0.0603210	+	0.00866891i
$565$	−36.0057	+	5.74356i	−1.51477	+	0.241634i
$566$	−1.28477	+	2.13070i	−0.0540029	+	0.0895602i
$567$	27.6433	−	8.98184i	1.16091	−	0.377202i
$568$	9.22050	−	11.2784i	0.386883	−	0.473231i
$569$	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	$0.654271\pi$
$570$	−27.5339	+	23.9132i	−1.15327	+	1.00161i
$571$	−26.4625	+	26.4625i	−1.10742	+	1.10742i	−0.113931	+	0.993489i	$0.536344\pi$
$571$	−26.4625	+	26.4625i	−1.10742	+	1.10742i	−0.993489	+	0.113931i	$0.963656\pi$
$572$	1.10416	+	0.341333i	0.0461672	+	0.0142718i
$573$	14.5469	+	14.5469i	0.607706	+	0.607706i
$574$	−22.3729	+	6.89948i	−0.933827	+	0.287979i
$575$	8.83134	+	4.47521i	0.368292	+	0.186629i
$576$	5.54888	+	9.82138i	0.231203	+	0.409224i
$577$	18.3186			0.762614			0.381307	−	0.924448i	$-0.375474\pi$
$577$	18.3186			0.762614			0.381307	+	0.924448i	$0.375474\pi$
$578$	2.44438	+	3.92540i	0.101673	+	0.163275i
$579$	11.2548	−	15.4909i	0.467732	−	0.643778i
$580$	5.19853	+	6.92751i	0.215857	+	0.287649i
$581$	−5.65989	+	11.1082i	−0.234812	+	0.460844i
$582$	−9.68602	−	39.1074i	−0.401498	−	1.62105i
$583$	3.36208	+	3.36208i	0.139243	+	0.139243i
$584$	−22.5193	+	5.92159i	−0.931854	+	0.245037i
$585$	1.08146	−	0.00119607i	0.0447127	−	4.94515e-5i
$586$	−21.2397	−	34.1085i	−0.877403	−	1.40901i
$587$	38.9196	+	12.6457i	1.60638	+	0.521945i	0.968675	−	0.248333i	$-0.0798828\pi$
$587$	38.9196	+	12.6457i	1.60638	+	0.521945i	0.637708	+	0.770278i	$0.279883\pi$
$588$	0.949577	+	0.922719i	0.0391599	+	0.0380523i
$589$	4.98138	+	31.4512i	0.205254	+	1.29592i
$590$	−1.82018	−	1.52870i	−0.0749354	−	0.0629356i
$591$	34.9113	+	5.52940i	1.43606	+	0.227449i
$592$	21.1529	−	11.5539i	0.869379	−	0.474861i
$593$	−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	$0.940914\pi$
$594$	−5.20975	−	6.01198i	−0.213759	−	0.246675i
$595$	−20.3811	−	6.59731i	−0.835543	−	0.270463i
$596$	29.2204	−	9.95986i	1.19691	−	0.407972i
$597$	12.4327	+	24.4005i	0.508836	+	0.998648i
$598$	0.822523	+	0.495964i	0.0336355	+	0.0202815i
$599$	−10.1463	−	31.2270i	−0.414566	−	1.27590i	−0.912639	−	0.408767i	$-0.865959\pi$
$599$	−10.1463	−	31.2270i	−0.414566	−	1.27590i	0.498073	−	0.867135i	$-0.334041\pi$
$600$	29.5435	−	3.03193i	1.20611	−	0.123778i
$601$	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	$0.0227734\pi$
$602$	−2.29935	−	26.7608i	−0.0937143	−	1.09069i
$603$	5.84632	+	4.24760i	0.238081	+	0.172976i
$604$	1.12438	−	0.841811i	0.0457503	−	0.0342528i
$605$	−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	$-0.884766\pi$
$607$	1.56868	−	9.90428i	0.0636709	−	0.402002i	0.998855	−	0.0478404i	$-0.0152339\pi$
$608$	−22.8835	+	21.0091i	−0.928050	+	0.852030i
$609$	−9.36925	+	4.77387i	−0.379661	+	0.193447i
$610$	−2.93187	+	41.6591i	−0.118708	+	1.68673i
$611$	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	0.410297	−	0.911952i	$-0.365425\pi$
$619$	−8.21609	−	5.96934i	−0.330233	−	0.239928i	−0.740529	+	0.672024i	$0.765425\pi$
$620$	11.4145	−	23.2847i	0.458417	−	0.935135i
$621$	−3.00149	−	5.89075i	−0.120446	−	0.236388i
$622$	13.8651	−	12.0149i	0.555939	−	0.481755i
$623$	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
$626$	12.7329	−	3.15365i	0.508909	−	0.126045i
$627$	−11.4202	+	15.7185i	−0.456077	+	0.627736i
$628$	−6.38711	+	3.37066i	−0.254874	+	0.134504i
$629$	15.7880	+	15.7880i	0.629509	+	0.629509i
$630$	−0.809362	+	11.5003i	−0.0322458	+	0.458182i
$631$	11.7430	−	3.81552i	0.467480	−	0.151893i	−0.0657991	−	0.997833i	$-0.520960\pi$
$631$	11.7430	−	3.81552i	0.467480	−	0.151893i	0.533279	+	0.845939i	$0.320960\pi$
$632$	3.03595	+	11.5454i	0.120764	+	0.459253i
$633$	−30.5360	+	15.5589i	−1.21370	+	0.618410i
$634$	0.922464	−	12.9035i	0.0366357	−	0.512465i
$635$	−17.8183	−	34.8749i	−0.707096	−	1.38397i
$636$	10.6375	+	5.22926i	0.421804	+	0.207354i
$637$	0.102836	−	0.0334134i	0.00407450	−	0.00132389i
$638$	3.53016	+	2.97152i	0.139760	+	0.117644i
$639$	1.13611	−	7.17309i	0.0449436	−	0.283763i
$640$	25.0852	−	3.27574i	0.991581	−	0.129485i
$641$	−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	$0.215645\pi$
$643$	−5.56928	+	17.1405i	−0.219631	+	0.675954i	−0.998792	+	0.0491311i	$0.984355\pi$
$644$	−5.89893	+	8.36905i	−0.232451	+	0.329787i
$645$	−24.3640	+	24.4180i	−0.959333	+	0.961458i
$646$	−24.6439	−	14.8597i	−0.969600	−	0.584648i
$647$	4.61366	−	4.61366i	0.181382	−	0.181382i	−0.610576	−	0.791958i	$-0.709062\pi$
$647$	4.61366	−	4.61366i	0.181382	−	0.181382i	0.791958	+	0.610576i	$0.209062\pi$
$648$	−27.4625	−	16.0267i	−1.07883	−	0.629589i
$649$	−1.12833	−	0.574915i	−0.0442910	−	0.0225674i
$650$	0.907067	−	2.24933i	0.0355781	−	0.0882258i
$651$	25.4708	+	18.5056i	0.998280	+	0.725293i
$652$	−15.5893	−	10.9882i	−0.610526	−	0.430330i
$653$		−	18.1930i		−	0.711945i	−0.934496	−	0.355973i	$-0.884150\pi$
$653$		−	18.1930i		−	0.711945i	0.934496	−	0.355973i	$-0.115850\pi$
$654$	35.9979	−	3.09302i	1.40763	−	0.120947i
$655$	−15.1099	+	20.8455i	−0.590394	+	0.814500i
$656$	21.9246	+	13.2405i	0.856012	+	0.516955i
$657$	−8.20825	+	8.20825i	−0.320235	+	0.320235i
$658$	0.963916	+	0.811379i	0.0375774	+	0.0316308i
$659$	−31.4394	−	31.4394i	−1.22471	−	1.22471i	−0.965940	−	0.258765i	$-0.916684\pi$
$659$	−31.4394	−	31.4394i	−1.22471	−	1.22471i	−0.258765	−	0.965940i	$-0.583316\pi$
$660$	14.9706	−	5.12128i	0.582731	−	0.199345i
$661$	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	$-0.115159\pi$
$662$	3.31436	+	38.5739i	0.128816	+	1.49922i
$663$	0.824762	+	2.53836i	0.0320311	+	0.0985816i
$664$	13.1900	−	3.46840i	0.511871	−	0.134600i
$665$	−31.3522	+	5.00125i	−1.21579	+	0.193940i
$666$	6.20467	−	10.2900i	0.240426	−	0.398731i
$667$	2.25406	+	3.10245i	0.0872775	+	0.120127i
$668$	−7.88945	+	1.36584i	−0.305252	+	0.0528461i
$669$	−19.3781	−	38.0316i	−0.749199	−	1.47039i
$670$	13.7477	−	8.58192i	0.531119	−	0.331549i
$671$	3.48056	+	21.9754i	0.134366	+	0.848350i
$672$	−1.31048	+	30.6863i	−0.0505530	+	1.18375i
$673$	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	$0.110587\pi$
$674$	19.4282	−	1.66932i	0.748347	−	0.0642997i
$675$	−13.4844	+	9.84261i	−0.519014	+	0.378842i
$676$	−11.3665	+	23.1219i	−0.437171	+	0.889305i
$677$	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	$0.110109\pi$
$678$	−36.5970	+	31.7135i	−1.40550	+	1.21795i
$679$	10.8386	−	33.3579i	0.415949	−	1.28016i
$680$	9.45570	+	21.4429i	0.362610	+	0.822296i
$681$	−6.32508	−	19.4666i	−0.242378	−	0.745962i
$682$	3.12876	−	13.4567i	0.119806	−	0.515282i
$683$			50.7554i			1.94210i	0.238872	+	0.971051i	$0.423222\pi$
$683$			50.7554i			1.94210i	−0.238872	+	0.971051i	$0.576778\pi$
$684$	−4.57397	+	14.7961i	−0.174890	+	0.565742i
$685$	8.19983	+	25.1418i	0.313299	+	0.960620i
$686$	6.43050	+	25.9632i	0.245518	+	0.991280i
$687$	−37.4424	−	5.93029i	−1.42852	−	0.226255i
$688$	−20.1725	+	21.3644i	−0.769069	+	0.814511i
$689$	0.783127	−	0.568975i	0.0298348	−	0.0216762i
$690$	13.1000	−	1.14018i	0.498708	−	0.0434058i
$691$	13.6639	−	6.96212i	0.519800	−	0.264851i	−0.174347	−	0.984684i	$-0.555782\pi$
$691$	13.6639	−	6.96212i	0.519800	−	0.264851i	0.694148	+	0.719833i	$0.255782\pi$
$692$	3.91601	+	2.76021i	0.148865	+	0.104927i
$693$	0.960832	+	6.06645i	0.0364990	+	0.230445i
$694$	−21.2621	−	8.62890i	−0.807097	−	0.327549i
$695$	−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
$698$	27.8908	+	11.3191i	1.05568	+	0.428434i
$699$	16.6703	+	5.41650i	0.630527	+	0.204871i
$700$	23.2280	+	11.3549i	0.877937	+	0.429174i
$701$	−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	$0.808440\pi$
$702$	−1.37482	+	0.856113i	−0.0518892	+	0.0323119i
$703$	31.4708	+	10.2255i	1.18694	+	0.385662i
$704$	12.6273	−	4.71249i	0.475908	−	0.177609i
$705$	−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
$708$	−3.12490	−	0.449089i	−0.117441	−	0.0168778i
$709$	−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	$0.536295\pi$
$710$	−13.9571	−	8.39482i	−0.523802	−	0.315052i
$711$	4.20830	+	4.20830i	0.157824	+	0.157824i
$712$	−16.3348	−	25.4121i	−0.612172	−	0.952357i
$713$	5.21260	−	10.2303i	0.195214	−	0.383128i
$714$	−27.6178	+	6.84031i	−1.03357	+	0.255992i
$715$	0.200722	−	1.27644i	0.00750657	−	0.0477362i
$716$	16.1752	+	47.4549i	0.604494	+	1.77347i
$717$	7.34521	−	14.4158i	0.274312	−	0.538368i
$718$	−2.49412	+	34.8880i	−0.0930797	+	1.30201i
$719$	−23.9453	−	12.2007i	−0.893007	−	0.455010i	−0.0536312	−	0.998561i	$-0.517080\pi$
$719$	−23.9453	−	12.2007i	−0.893007	−	0.455010i	−0.839376	+	0.543551i	$0.817080\pi$
$720$	9.97794	−	7.71379i	0.371856	−	0.287476i
$721$	0.108922	−	0.687708i	0.00405648	−	0.0256116i
$722$	−15.7388	−	1.12515i	−0.585737	−	0.0418739i
$723$	−21.7687	+	29.9620i	−0.809585	+	1.11430i
$724$	48.4365	−	0.694819i	1.80013	−	0.0258227i
$725$	6.83205	−	6.86235i	0.253736	−	0.254861i
$726$	−20.5758	+	12.8127i	−0.763639	+	0.475525i
$727$	−25.3302	−	34.8641i	−0.939446	−	1.29304i	−0.956059	−	0.293174i	$-0.905288\pi$
$727$	−25.3302	−	34.8641i	−0.939446	−	1.29304i	0.0166131	−	0.999862i	$-0.494712\pi$
$728$	2.16635	+	1.26425i	0.0802903	+	0.0468563i
$729$	5.18339			0.191977
$730$	10.1612	+	23.9683i	0.376084	+	0.887105i
$731$	−24.2525	−	12.3573i	−0.897011	−	0.457050i
$732$	25.8878	+	49.0552i	0.956840	+	1.81313i
$733$	−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	$0.473387\pi$
$734$	21.3906	+	4.97344i	0.789540	+	0.183573i
$735$	0.868792	−	1.19858i	0.0320459	−	0.0442101i
$736$	11.1279	−	1.27861i	0.410181	−	0.0471304i
$737$	6.10529	−	6.10529i	0.224891	−	0.224891i
$738$	12.7672	+	0.191871i	0.469967	+	0.00706288i
$739$	−33.4043			−1.22880			−0.614398	−	0.788997i	$-0.710601\pi$
$739$	−33.4043			−1.22880			−0.614398	+	0.788997i	$0.710601\pi$
$740$	−16.1743	−	21.5537i	−0.594579	−	0.792331i
$741$	2.79699	+	2.79699i	0.102750	+	0.102750i
$742$	5.45473	+	8.75967i	0.200249	+	0.321578i
$743$	−5.11135	−	32.2718i	−0.187517	−	1.18394i	−0.884392	−	0.466745i	$-0.845427\pi$
$743$	−5.11135	−	32.2718i	−0.187517	−	1.18394i	0.696875	−	0.717193i	$-0.254573\pi$
$744$	−3.44037	−	34.2697i	−0.126130	−	1.25639i
$745$	−15.7035	−	30.7358i	−0.575331	−	1.12607i
$746$	−24.9144	−	15.0228i	−0.912181	−	0.550025i
$747$	4.80775	−	4.80775i	0.175906	−	0.175906i
$748$	7.48285	+	9.99459i	0.273600	+	0.365438i
$749$	−6.72660	+	42.4701i	−0.245785	+	1.55182i
$750$	−8.08961	−	32.2036i	−0.295391	−	1.17591i
$751$	−5.95666	−	11.6906i	−0.217362	−	0.426596i	0.756418	−	0.654088i	$-0.226948\pi$
$751$	−5.95666	−	11.6906i	−0.217362	−	0.426596i	−0.973780	+	0.227492i	$0.926948\pi$
$752$	−0.0395362	−	1.37777i	−0.00144174	−	0.0502421i
$753$	20.9480	+	15.2196i	0.763387	+	0.554633i
$754$	0.709948	−	0.615213i	0.0258548	−	0.0224047i
$755$	−1.11165	−	1.10920i	−0.0404572	−	0.0403678i
$756$	−8.05815	−	15.2695i	−0.293072	−	0.555347i
$757$	−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	$0.534649\pi$
$758$	3.35754	−	46.9657i	0.121951	−	1.70587i
$759$	6.66270	−	2.16484i	0.241841	−	0.0785788i
$760$	26.9137	+	21.9533i	0.976263	+	0.796330i
$761$	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	$0.00744875\pi$
$762$	−44.5439	−	26.8590i	−1.61366	−	0.973000i
$763$	28.0259	+	14.2799i	1.01461	+	0.516968i
$764$	11.2877	−	16.0144i	0.408376	−	0.579379i
$765$	9.45948	+	6.85674i	0.342008	+	0.247906i
$766$	−1.02906	−	0.866217i	−0.0371816	−	0.0312977i
$767$	−0.151540	+	0.208577i	−0.00547180	+	0.00753129i
$768$	26.0059	−	21.2760i	0.938407	−	0.767732i
$769$	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	$0.694247\pi$
$770$	13.4201	+	3.10462i	0.483627	+	0.111883i
$771$	−5.35534	+	3.89089i	−0.192868	+	0.140127i
$772$	−16.3653	−	8.04498i	−0.589001	−	0.289545i
$773$	−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	$0.996289\pi$
$774$	−3.31736	+	14.2678i	−0.119240	+	0.512847i
$775$	−27.5936	−	8.89826i	−0.991190	−	0.319635i
$776$	−35.1254	+	15.4429i	−1.26093	+	0.554369i
$777$	29.1508	−	14.8531i	1.04578	−	0.532851i
$778$	46.7314	+	18.9653i	1.67540	+	0.679938i
$779$	7.44770	+	34.3655i	0.266842	+	1.23127i
$780$	−0.553007	−	3.17342i	−0.0198008	−	0.113627i
$781$	−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
$784$	0.711624	−	1.04100i	0.0254152	−	0.0371787i
$785$	4.75323	+	6.52706i	0.169650	+	0.232961i
$786$	−2.43833	+	34.1076i	−0.0869722	+	1.21658i
$787$	−6.71451	+	42.3938i	−0.239347	+	1.51117i	0.516421	+	0.856335i	$0.327264\pi$
$787$	−6.71451	+	42.3938i	−0.239347	+	1.51117i	−0.755768	+	0.654840i	$0.772736\pi$
$788$	−0.482845	−	33.6596i	−0.0172006	−	1.19907i
$789$	−12.6647	−	17.4315i	−0.450875	−	0.620576i
$790$	12.2883	−	5.20958i	0.437199	−	0.185348i
$791$	−41.6394	+	6.59504i	−1.48053	+	0.234493i
$792$	4.25283	−	5.20202i	0.151118	−	0.184846i
$793$	4.52969			0.160854
$794$	2.82203	+	4.53186i	0.100150	+	0.160830i
$795$	4.08129	−	12.6083i	0.144748	−	0.447172i
$796$	20.8780	−	15.6312i	0.740001	−	0.554032i
$797$	−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	$-0.344861\pi$
$798$	−31.8671	+	27.6148i	−1.12808	+	0.977554i
$799$	1.21434	−	0.394562i	0.0429601	−	0.0139586i
$800$	−7.64488	−	27.2315i	−0.270287	−	0.962780i
$801$	−13.4188	−	6.83722i	−0.474130	−	0.241581i
$802$	−12.1234	−	10.2049i	−0.428091	−	0.360346i
$803$	8.15231	+	11.2207i	0.287689	+	0.395969i
$804$	9.49596	−	19.3169i	0.334897	−	0.681256i
$805$	10.2056	+	5.18583i	0.359702	+	0.182776i
$806$	−2.60624	−	1.05771i	−0.0918008	−	0.0372561i
$807$	−35.7329	−	11.6103i	−1.25786	−	0.408703i
$808$	9.64995	+	15.0124i	0.339484	+	0.528136i
$809$	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	$-0.113279\pi$
$810$	−13.3321	+	32.9554i	−0.468441	+	1.15794i
$811$	−36.8716			−1.29474			−0.647368	−	0.762178i	$-0.724130\pi$
$811$	−36.8716			−1.29474			−0.647368	+	0.762178i	$0.724130\pi$
$812$	6.00201	+	8.01668i	0.210629	+	0.281330i
$813$	30.4036	−	9.87873i	1.06630	−	0.346462i
$814$	−10.9835	−	9.24538i	−0.384971	−	0.324050i
$815$	−9.65983	+	19.0104i	−0.338369	+	0.665907i
$816$	25.6957	+	17.5654i	0.899529	+	0.614913i
$817$	−40.3399			−1.41131
$818$	1.08285	+	0.911489i	0.0378609	+	0.0318695i
$819$	1.25045			0.0436943
$820$	11.1367	−	26.3813i	0.388910	−	0.921276i
$821$	−11.8075			−0.412084			−0.206042	−	0.978543i	$-0.566058\pi$
$821$	−11.8075			−0.412084			−0.206042	+	0.978543i	$0.566058\pi$
$822$	26.8711	+	22.6188i	0.937238	+	0.788922i
$823$	17.1304			0.597127			0.298564	−	0.954390i	$-0.403493\pi$
$823$	17.1304			0.597127			0.298564	+	0.954390i	$0.403493\pi$
$824$	−0.640747	+	0.411870i	−0.0223215	+	0.0143482i
$825$	−8.06591	−	15.7441i	−0.280819	−	0.548138i
$826$	−2.10265	−	1.76991i	−0.0731606	−	0.0615831i
$827$	−31.5016	+	10.2355i	−1.09542	+	0.355923i	−0.800337	−	0.599550i	$-0.795346\pi$
$827$	−31.5016	+	10.2355i	−1.09542	+	0.355923i	−0.295080	+	0.955473i	$0.595346\pi$
$828$	4.47011	−	3.34673i	0.155347	−	0.116307i
$829$	−3.57417			−0.124136			−0.0620681	−	0.998072i	$-0.519770\pi$
$829$	−3.57417			−0.124136			−0.0620681	+	0.998072i	$0.519770\pi$
$830$	−5.95164	−	14.0387i	−0.206585	−	0.487291i
$831$	8.55025	−	53.9841i	0.296605	−	1.87269i
$832$	−0.545439	−	2.68919i	−0.0189097	−	0.0932310i
$833$	1.11095	+	0.360971i	0.0384923	+	0.0125069i
$834$	−36.8922	−	14.9722i	−1.27747	−	0.518444i
$835$	2.77570	+	8.51069i	0.0960570	+	0.294524i
$836$	16.6058	+	8.16321i	0.574324	+	0.282330i
$837$	11.3800	+	15.6632i	0.393350	+	0.541400i
$838$	21.6158	+	18.1951i	0.746704	+	0.628540i
$839$	−6.79446	−	3.46195i	−0.234571	−	0.119520i	0.332755	−	0.943013i	$-0.392022\pi$
$839$	−6.79446	−	3.46195i	−0.234571	−	0.119520i	−0.567326	+	0.823494i	$0.692022\pi$
$840$	34.1640	−	3.46793i	1.17877	−	0.119655i
$841$	−24.0135	+	7.80245i	−0.828050	+	0.269050i
$842$	24.5234	−	21.2510i	0.845133	−	0.732359i
$843$	−16.3426	−	32.0741i	−0.562869	−	1.10469i
$844$	19.5616	+	26.1277i	0.673338	+	0.899354i
$845$	27.4058	+	8.87118i	0.942788	+	0.305178i
$846$	−0.363225	−	0.583297i	−0.0124879	−	0.0200542i
$847$	−21.1018			−0.725067
$848$	3.17904	−	10.8319i	0.109169	−	0.371971i
$849$	3.64915	−	0.577968i	0.125238	−	0.0198358i
$850$	22.2108	−	13.8992i	0.761825	−	0.476738i
$851$	−7.01311	−	9.65272i	−0.240406	−	0.330891i
$852$	−21.6300	+	0.310281i	−0.741030	+	0.0106300i
$853$	−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	$0.872888\pi$
$854$	−3.44329	+	48.1652i	−0.117827	+	1.64818i
$855$	17.1047	+	2.68973i	0.584969	+	0.0919869i
$856$	39.5700	−	25.4355i	1.35247	−	0.869366i
$857$	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	0.813340	−	0.581788i	$-0.197647\pi$
$859$	33.1007	+	10.7551i	1.12938	+	0.366958i	0.316040	+	0.948746i	$0.397647\pi$
$860$	26.8724	+	18.8966i	0.916342	+	0.644369i
$861$	29.2325	+	18.8188i	0.996241	+	0.641343i
$862$	32.1589	+	13.0512i	1.09534	+	0.444526i
$863$	6.81927	−	3.47459i	0.232130	−	0.118276i	−0.334057	−	0.942553i	$-0.608418\pi$
$863$	6.81927	−	3.47459i	0.232130	−	0.118276i	0.566187	+	0.824276i	$0.308418\pi$
$864$	−6.59772	+	17.6978i	−0.224459	+	0.602092i
$865$	2.42653	−	4.77539i	0.0825046	−	0.162368i
$866$	4.67138	−	20.0914i	0.158740	−	0.682734i
$867$	2.12193	−	6.53063i	0.0720646	−	0.221792i
$868$	13.2280	−	26.9087i	0.448986	−	0.913339i
$869$	5.75275	−	4.17962i	0.195149	−	0.141784i
$870$	2.89876	−	12.5303i	0.0982773	−	0.424816i
$871$	−1.03322	−	1.42210i	−0.0350093	−	0.0481861i
$872$	−8.75079	−	33.2785i	−0.296339	−	1.12695i
$873$	−11.2436	+	15.4755i	−0.380539	+	0.523767i
$874$	11.7648	+	9.90308i	0.397952	+	0.334977i
$875$	8.84138	−	27.5213i	0.298893	−	0.930391i
$876$	28.2615	+	19.9202i	0.954869	+	0.673041i
$877$	−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	$0.847351\pi$
$878$	49.2196	+	29.6784i	1.66108	+	1.00160i
$879$	−18.4378	+	56.7459i	−0.621893	+	1.91399i
$880$	−7.23803	−	13.2167i	−0.243994	−	0.445534i
$881$	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	$0.309628\pi$
$882$	0.0448269	−	0.627044i	0.00150940	−	0.0211137i
$883$	−8.90188	+	2.89240i	−0.299572	+	0.0973369i	−0.454946	−	0.890519i	$-0.650342\pi$
$883$	−8.90188	+	2.89240i	−0.299572	+	0.0973369i	0.155374	+	0.987856i	$0.450342\pi$
$884$	2.24804	−	1.18635i	0.0756098	−	0.0399014i
$885$	0.00390372	+	3.52964i	0.000131222	+	0.118647i
$886$	−13.4059	+	11.6170i	−0.450380	+	0.390282i
$887$	−22.9660	−	16.6858i	−0.771124	−	0.560254i	0.131178	−	0.991359i	$-0.458124\pi$
$887$	−22.9660	−	16.6858i	−0.771124	−	0.560254i	−0.902302	+	0.431104i	$0.858124\pi$
$888$	−33.3535	−	12.9820i	−1.11927	−	0.435647i
$889$	−20.5580	−	40.3474i	−0.689494	−	1.35321i
$890$	−25.5002	+	22.1469i	−0.854769	+	0.742367i
$891$	−2.96283	+	18.7066i	−0.0992585	+	0.626694i
$892$	−32.5412	+	24.3633i	−1.08956	+	0.815744i
$893$	1.33806	−	1.33806i	0.0447766	−	0.0447766i
$894$	−39.2572	−	23.6713i	−1.31296	−	0.791686i
$895$	49.9159	−	25.5030i	1.66851	−	0.852472i
$896$	29.0094	−	3.75555i	0.969135	−	0.125464i
$897$	−0.223115	−	1.40869i	−0.00744959	−	0.0470349i
$898$	1.31058	+	2.10465i	0.0437348	+	0.0702330i
$899$	−7.94081	−	7.94081i	−0.264841	−	0.264841i
$900$	−10.1343	−	9.80421i	−0.337811	−	0.326807i
$901$	10.4575			0.348388
$902$	2.61272	−	15.0306i	0.0869941	−	0.500465i
$903$	−28.2025	+	28.2025i	−0.938521	+	0.938521i
$904$	35.7060	+	29.1910i	1.18757	+	0.970877i
$905$	−8.53153	−	53.4830i	−0.283598	−	1.77784i
$906$	−2.03153	−	0.472344i	−0.0674932	−	0.0156926i
$907$	16.1329	−	2.55519i	0.535683	−	0.0848438i	0.117269	−	0.993100i	$-0.462586\pi$
$907$	16.1329	−	2.55519i	0.535683	−	0.0848438i	0.418414	+	0.908256i	$0.362586\pi$
$908$	−17.2402	+	9.09812i	−0.572135	+	0.301932i
$909$	7.92730	+	4.03916i	0.262932	+	0.133970i
$910$	1.05169	−	2.59966i	0.0348631	−	0.0861778i
$911$	31.6024			1.04703			0.523516	−	0.852016i	$-0.324620\pi$
$911$	31.6024			1.04703			0.523516	+	0.852016i	$0.324620\pi$
$912$	45.7499	+	5.90639i	1.51493	+	0.195580i
$913$	−4.77498	−	6.57219i	−0.158029	−	0.217508i
$914$	−18.7799	+	11.6944i	−0.621185	+	0.386818i
$915$	50.1300	−	36.5064i	1.65725	−	1.20686i
$916$	0.517852	+	36.0999i	0.0171103	+	1.19278i
$917$	−17.4977	+	24.0836i	−0.577826	+	0.795310i
$918$	−17.4521	−	1.24764i	−0.576006	−	0.0411782i
$919$	7.46446	−	47.1287i	0.246230	−	1.55463i	−0.486235	−	0.873828i	$-0.661630\pi$
$919$	7.46446	−	47.1287i	0.246230	−	1.55463i	0.732465	−	0.680805i	$-0.238370\pi$
$920$	−3.19820	−	12.1080i	−0.105441	−	0.399189i
$921$	−4.28523	−	2.18344i	−0.141203	−	0.0719467i
$922$	−2.96952	+	41.5379i	−0.0977958	+	1.36798i
$923$	−0.802012	+	1.57404i	−0.0263986	+	0.0518101i
$924$	17.3166	−	5.90241i	0.569673	−	0.194175i
$925$	−21.2568	+	21.3510i	−0.698918	+	0.702017i
$926$	7.42135	−	1.83810i	0.243881	−	0.0604038i
$927$	−0.172396	+	0.338346i	−0.00566222	+	0.0111127i
$928$	2.17395	−	10.7377i	0.0713634	−	0.352482i
$929$	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	$0.734951\pi$
$930$	−37.3676	+	9.29899i	−1.22533	+	0.304926i
$931$	1.70989	−	0.270820i	0.0560395	−	0.00887578i
$932$	2.37465	−	16.5236i	0.0777844	−	0.541248i
$933$	−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
$936$	−0.910584	−	1.02084i	−0.0297634	−	0.0333672i
$937$	−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	$0.977432\pi$
$938$	15.9069	−	9.90540i	0.519380	−	0.323423i
$939$	−15.7587	−	11.4494i	−0.514266	−	0.373636i
$940$	−1.51815	+	0.264556i	−0.0495165	+	0.00862885i
$941$	−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	$0.935103\pi$
$942$	9.93697	+	4.03278i	0.323764	+	0.131395i
$943$	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
$946$	16.2173	+	6.58157i	0.527271	+	0.213985i
$947$	5.46814	+	34.5245i	0.177691	+	1.12189i	0.901782	+	0.432190i	$0.142259\pi$
$947$	5.46814	+	34.5245i	0.177691	+	1.12189i	−0.724092	+	0.689704i	$0.757741\pi$
$948$	10.2129	−	14.4895i	0.331700	−	0.470596i
$949$	2.51591	−	1.28192i	0.0816699	−	0.0416129i
$950$	19.9777	−	33.2981i	0.648163	−	1.08033i
$951$	−15.5411	+	11.2912i	−0.503954	+	0.366144i
$952$	10.9059	+	24.8057i	0.353461	+	0.803958i
$953$	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	$0.309657\pi$
$954$	−1.35301	−	5.46278i	−0.0438052	−	0.176864i
$955$	−19.5287	−	9.92319i	−0.631935	−	0.321107i
$956$	−14.7213	−	4.55086i	−0.476121	−	0.147185i
$957$		−	6.85197i		−	0.221493i
$958$	−9.29034	+	39.9574i	−0.300157	+	1.29096i
$959$	9.44903	+	29.0811i	0.305125	+	0.939078i
$960$	−27.7095	−	25.3654i	−0.894321	−	0.818664i
$961$	−0.810657	+	2.49495i	−0.0261502	+	0.0804821i
$962$	−2.20888	+	1.91413i	−0.0712171	+	0.0617140i
$963$	10.6465	−	20.8949i	0.343078	−	0.673328i
$964$	31.6533	+	15.5604i	1.01949	+	0.501166i
$965$	−6.27887	+	19.3974i	−0.202124	+	0.624423i
$966$	15.1485	−	1.30160i	0.487396	−	0.0418782i
$967$	29.6369	−	21.5325i	0.953058	−	0.692437i	0.00153011	−	0.999999i	$-0.499513\pi$
$967$	29.6369	−	21.5325i	0.953058	−	0.692437i	0.951528	+	0.307561i	$0.0995129\pi$
$968$	15.3664	+	17.2270i	0.493896	+	0.553698i
$969$	6.68482	+	42.2063i	0.214747	+	1.35586i
$970$	22.7168	+	36.3908i	0.729393	+	1.16844i
$971$	19.6087	+	38.4842i	0.629272	+	1.23502i	0.956957	+	0.290230i	$0.0937317\pi$
$971$	19.6087	+	38.4842i	0.629272	+	1.23502i	−0.327685	+	0.944787i	$0.606268\pi$
$972$	4.63702	+	26.7846i	0.148732	+	0.859115i
$973$	−20.3735	−	28.0417i	−0.653145	−	0.898977i
$974$	25.9423	−	43.0237i	0.831246	−	1.37857i
$975$	−3.42272	+	1.12049i	−0.109615	+	0.0358843i
$976$	41.8284	−	32.2631i	1.33889	−	1.03272i
$977$	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	$0.844070\pi$
$978$	2.42453	+	28.2177i	0.0775280	+	0.902303i
$979$	−10.5766	+	14.5575i	−0.338031	+	0.465259i
$980$	−1.26591	−	0.620566i	−0.0404379	−	0.0198233i
$981$	−12.1300	−	12.1300i	−0.387280	−	0.387280i
$982$	−39.2073	−	33.0029i	−1.25116	−	1.05316i
$983$	−12.7485	+	12.7485i	−0.406614	+	0.406614i	−0.880556	−	0.473942i	$-0.842831\pi$
$983$	−12.7485	+	12.7485i	−0.406614	+	0.406614i	0.473942	+	0.880556i	$0.342831\pi$
$984$	−5.92398	−	37.5687i	−0.188850	−	1.19765i
$985$	−37.1665	+	5.92874i	−1.18422	+	0.188905i
$986$	10.1115	−	0.868802i	0.322015	−	0.0276683i
$987$		−	1.87094i		−	0.0595527i
$988$	2.17033	−	3.07914i	0.0690476	−	0.0979604i
$989$	11.7675	+	8.54956i	0.374184	+	0.271860i
$990$	−6.43755	−	3.87200i	−0.204599	−	0.123060i
$991$	−3.15261	−	1.60634i	−0.100146	−	0.0510269i	0.403200	−	0.915112i	$-0.367898\pi$
$991$	−3.15261	−	1.60634i	−0.100146	−	0.0510269i	−0.503346	+	0.864085i	$0.667898\pi$
$992$	−31.6003	+	8.79598i	−1.00331	+	0.279273i
$993$	40.6522	−	40.6522i	1.29006	−	1.29006i
$994$	−16.1274	−	9.72449i	−0.511531	−	0.308442i
$995$	−20.6417	−	20.5961i	−0.654387	−	0.652941i
$996$	−16.5534	−	11.6677i	−0.524514	−	0.369704i
$997$	−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.103.32	yes	960
4.3	odd	2	inner	820.2.bv.c.103.5	yes	960
5.2	odd	4		820.2.bk.c.267.30	yes	960
20.7	even	4		820.2.bk.c.267.56	yes	960
41.2	even	20		820.2.bk.c.43.56	yes	960
164.43	odd	20		820.2.bk.c.43.30	✓	960
205.2	odd	20	inner	820.2.bv.c.207.5	yes	960
820.207	even	20	inner	820.2.bv.c.207.32	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.30	✓	960	164.43	odd	20
820.2.bk.c.43.56	yes	960	41.2	even	20
820.2.bk.c.267.30	yes	960	5.2	odd	4
820.2.bk.c.267.56	yes	960	20.7	even	4
820.2.bv.c.103.5	yes	960	4.3	odd	2	inner
820.2.bv.c.103.32	yes	960	1.1	even	1	trivial
820.2.bv.c.207.5	yes	960	205.2	odd	20	inner
820.2.bv.c.207.32	yes	960	820.207	even	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+(-0.910722 + 1.08194i) q^{2} +2.10001 q^{3} +(-0.341170 - 1.97069i) q^{4} +(-2.12586 + 0.693335i) q^{5} +(-1.91253 + 2.27208i) q^{6} +(-2.45895 + 0.798960i) q^{7} +(2.44287 + 1.42562i) q^{8} +1.41006 q^{9} +(1.18593 - 2.93148i) q^{10} +(0.263552 - 1.66400i) q^{11} +(-0.716463 - 4.13847i) q^{12} +(-0.326207 - 0.105991i) q^{13} +(1.37499 - 3.38805i) q^{14} +(-4.46434 + 1.45601i) q^{15} +(-3.76721 + 1.34468i) q^{16} +(-2.17799 - 2.99775i) q^{17} +(-1.28417 + 1.52560i) q^{18} +(-4.89303 - 2.49312i) q^{19} +(2.09163 + 3.95286i) q^{20} +(-5.16382 + 1.67783i) q^{21} +(1.56032 + 1.80059i) q^{22} +(0.898947 + 1.76428i) q^{23} +(5.13006 + 2.99383i) q^{24} +(4.03857 - 2.94787i) q^{25} +(0.411759 - 0.256406i) q^{26} -3.33889 q^{27} +(2.41342 + 4.57323i) q^{28} +(1.91284 - 0.302964i) q^{29} +(2.49046 - 6.15615i) q^{30} +(-3.40831 - 4.69114i) q^{31} +(1.97602 - 5.30050i) q^{32} +(0.553463 - 3.49443i) q^{33} +(5.22692 + 0.373669i) q^{34} +(4.67343 - 3.40335i) q^{35} +(-0.481071 - 2.77879i) q^{36} +(-5.95148 + 0.942621i) q^{37} +(7.15359 - 3.02340i) q^{38} +(-0.685038 - 0.222582i) q^{39} +(-6.18163 - 1.33695i) q^{40} +(-4.04939 - 4.96008i) q^{41} +(2.88751 - 7.11496i) q^{42} +(6.54514 - 3.33491i) q^{43} +(-3.36914 + 0.0483302i) q^{44} +(-2.99760 + 0.977645i) q^{45} +(-2.72753 - 0.634169i) q^{46} +(-0.106482 + 0.327719i) q^{47} +(-7.91119 + 2.82385i) q^{48} +(-0.255041 + 0.185298i) q^{49} +(-0.488616 + 7.05417i) q^{50} +(-4.57382 - 6.29532i) q^{51} +(-0.0975828 + 0.679012i) q^{52} +(-1.65885 + 2.28321i) q^{53} +(3.04080 - 3.61247i) q^{54} +(0.593435 + 3.72017i) q^{55} +(-7.14589 - 1.55378i) q^{56} +(-10.2754 - 5.23560i) q^{57} +(-1.41428 + 2.34549i) q^{58} +(0.232276 - 0.714873i) q^{59} +(4.39245 + 8.30106i) q^{60} +(-12.5600 + 4.08098i) q^{61} +(8.17953 + 0.584749i) q^{62} +(-3.46727 + 1.12658i) q^{63} +(3.93520 + 6.96521i) q^{64} +(0.766957 - 0.000848241i) q^{65} +(3.27670 + 3.78127i) q^{66} +(4.14615 + 3.01235i) q^{67} +(-5.16456 + 5.31488i) q^{68} +(1.88780 + 3.70502i) q^{69} +(-0.573991 + 8.15586i) q^{70} +(0.805713 - 5.08707i) q^{71} +(3.44459 + 2.01022i) q^{72} +(-5.82120 + 5.82120i) q^{73} +(4.40029 - 7.29758i) q^{74} +(8.48107 - 6.19056i) q^{75} +(-3.24381 + 10.4932i) q^{76} +(0.681411 + 4.30226i) q^{77} +(0.864700 - 0.538457i) q^{78} +(2.98448 + 2.98448i) q^{79} +(7.07624 - 5.47054i) q^{80} -11.2419 q^{81} +(9.05436 + 0.136073i) q^{82} +(3.40960 - 3.40960i) q^{83} +(5.06822 + 9.60385i) q^{84} +(6.70856 + 4.86272i) q^{85} +(-2.35264 + 10.1186i) q^{86} +(4.01700 - 0.636230i) q^{87} +(3.01606 - 3.68921i) q^{88} +(-9.51647 - 4.84888i) q^{89} +(1.67223 - 4.13357i) q^{90} +0.886807 q^{91} +(3.17015 - 2.37346i) q^{92} +(-7.15750 - 9.85146i) q^{93} +(-0.257595 - 0.413668i) q^{94} +(12.1305 + 1.90753i) q^{95} +(4.14967 - 11.1311i) q^{96} +(-7.97386 + 10.9751i) q^{97} +(0.0317907 - 0.444693i) 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