LMFDB - Embedded newform 820.2.bv.c.207.5

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			207.5
Character	$\chi$	$=$	820.207
Dual form			820.2.bv.c.103.5

$q$-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 $\left(\mathbb{Z}/820\mathbb{Z}\right)^\times$.

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{4}\right)$

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	0.734315	−	0.678809i	$-0.237504\pi$
$7$	2.45895	+	0.798960i	0.929394	+	0.301978i	0.195079	+	0.980787i	$0.437504\pi$
$8$	−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	−0.995032	−	0.0995532i	$-0.968259\pi$
$11$	−0.263552	−	1.66400i	−0.0794640	−	0.501716i	0.915568	−	0.402163i	$-0.131741\pi$
$12$	−4.15732	−	0.597460i	−1.20011	−	0.172472i
$13$	−0.326207	+	0.105991i	−0.0904734	+	0.0293966i	−0.353904	−	0.935282i	$-0.615146\pi$
$13$	−0.326207	+	0.105991i	−0.0904734	+	0.0293966i	0.263431	+	0.964678i	$0.415146\pi$
$14$	−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	−0.986861	−	0.161571i	$-0.948344\pi$
$17$	−2.17799	+	2.99775i	−0.528241	+	0.727061i	0.458620	+	0.888632i	$0.348344\pi$
$18$	−1.98905	−	0.142196i	−0.468824	−	0.0335159i
$19$	4.89303	−	2.49312i	1.12254	−	0.571962i	0.208675	−	0.977985i	$-0.433085\pi$
$19$	4.89303	−	2.49312i	1.12254	−	0.571962i	0.913863	+	0.406023i	$0.133085\pi$
$20$	−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	−0.965535	−	0.260272i	$-0.916188\pi$
$23$	−0.898947	+	1.76428i	−0.187443	+	0.367878i	0.778092	+	0.628150i	$0.216188\pi$
$24$	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	0.331488	−	0.943460i	$-0.392450\pi$
$29$	1.91284	+	0.302964i	0.355206	+	0.0562591i	0.0237183	+	0.999719i	$0.492450\pi$
$30$	−6.15063	−	2.50407i	−1.12295	−	0.457179i
$31$	3.40831	−	4.69114i	0.612151	−	0.842553i	−0.384602	−	0.923083i	$-0.625661\pi$
$31$	3.40831	−	4.69114i	0.612151	−	0.842553i	0.996752	+	0.0805297i	$0.0256612\pi$
$32$	−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	−0.353311	−	0.935506i	$-0.614944\pi$
$37$	−5.95148	−	0.942621i	−0.978417	−	0.154966i	−0.625106	+	0.780540i	$0.714944\pi$
$38$	−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	−0.122968	−	0.992411i	$-0.539241\pi$
$43$	−6.54514	−	3.33491i	−0.998124	−	0.508570i	−0.875156	+	0.483841i	$0.839241\pi$
$44$	−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	0.958522	−	0.285018i	$-0.0919996\pi$
$47$	0.106482	+	0.327719i	0.0155320	+	0.0478027i	−0.942990	+	0.332821i	$0.892000\pi$
$48$	−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	0.679744	−	0.733450i	$-0.262091\pi$
$53$	−1.65885	−	2.28321i	−0.227861	−	0.313623i	−0.907604	+	0.419826i	$0.862091\pi$
$54$	−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	0.934797	−	0.355181i	$-0.115581\pi$
$59$	−0.232276	−	0.714873i	−0.0302398	−	0.0930686i	−0.965037	+	0.262113i	$0.915581\pi$
$60$	8.42364	+	4.15253i	1.08749	+	0.536089i
$61$	−12.5600	−	4.08098i	−1.60814	−	0.522516i	−0.639038	−	0.769175i	$-0.720667\pi$
$61$	−12.5600	−	4.08098i	−1.60814	−	0.522516i	−0.969102	+	0.246659i	$0.920667\pi$
$62$	−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	−0.811507	−	0.584343i	$-0.801352\pi$
$67$	−4.14615	+	3.01235i	−0.506532	+	0.368017i	0.304974	+	0.952361i	$0.401352\pi$
$68$	−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	−0.988240	−	0.152913i	$-0.951135\pi$
$71$	−0.805713	−	5.08707i	−0.0956206	−	0.603724i	0.892619	−	0.450812i	$-0.148865\pi$
$72$	−3.89719	−	0.847391i	−0.459289	−	0.0998660i
$73$	−5.82120	−	5.82120i	−0.681320	−	0.681320i	0.278977	−	0.960298i	$-0.410005\pi$
$73$	−5.82120	−	5.82120i	−0.681320	−	0.681320i	−0.960298	+	0.278977i	$0.910005\pi$
$74$	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	−0.854777	−	0.518996i	$-0.826306\pi$
$79$	−2.98448	+	2.98448i	−0.335780	+	0.335780i	0.518996	+	0.854777i	$0.326306\pi$
$80$	−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	0.494771	−	0.869023i	$-0.335252\pi$
$83$	−3.40960	−	3.40960i	−0.374252	−	0.374252i	−0.869023	+	0.494771i	$0.835252\pi$
$84$	−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	−0.878622	−	0.477518i	$-0.841537\pi$
$89$	−9.51647	+	4.84888i	−1.00874	+	0.513980i	−0.130121	+	0.991498i	$0.541537\pi$
$90$	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	−0.991381	−	0.131007i	$-0.958179\pi$
$97$	−7.97386	−	10.9751i	−0.809623	−	1.11435i	0.181759	−	0.983343i	$-0.441821\pi$
$98$	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	−0.151339	−	0.988482i	$-0.548358\pi$
$101$	5.62195	−	2.86453i	0.559405	−	0.285031i	0.710744	+	0.703451i	$0.248358\pi$
$102$	−7.08673	+	8.41902i	−0.701691	+	0.833607i
$103$	0.122261	+	0.239951i	0.0120467	+	0.0236431i	0.896951	−	0.442129i	$-0.145777\pi$
$103$	0.122261	+	0.239951i	0.0120467	+	0.0236431i	−0.884905	+	0.465772i	$0.845777\pi$
$104$	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	−0.894906	−	0.446254i	$-0.852758\pi$
$107$	−7.55036	−	14.8184i	−0.729921	−	1.43255i	0.164986	−	0.986296i	$-0.447242\pi$
$108$	6.60988	+	0.949925i	0.636036	+	0.0914066i
$109$	−8.60244	+	8.60244i	−0.823964	+	0.823964i	−0.986674	−	0.162710i	$-0.947977\pi$
$109$	−8.60244	+	8.60244i	−0.823964	+	0.823964i	0.162710	+	0.986674i	$0.447977\pi$
$110$	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	0.657135	−	0.753773i	$-0.271768\pi$
$113$	16.1051	−	2.55079i	1.51504	−	0.239958i	0.857901	+	0.513815i	$0.171768\pi$
$114$	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	0.500105	+	0.865965i	$0.333295\pi$
$127$	−2.73983	+	17.2986i	−0.243121	+	1.53501i	−0.743226	+	0.669041i	$0.766705\pi$
$128$	−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	0.101097	−	0.994877i	$-0.467765\pi$
$131$	−9.31490	−	6.76767i	−0.813847	−	0.591294i	−0.914943	+	0.403582i	$0.867765\pi$
$132$	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	$0.168585\pi$
$137$			11.8267i			1.01042i	−0.862997	+	0.505210i	$0.831415\pi$
$138$	−3.03659	+	5.03598i	−0.258491	+	0.428691i
$139$	−4.14273	+	12.7500i	−0.351382	+	1.08144i	0.606696	+	0.794934i	$0.292495\pi$
$139$	−4.14273	+	12.7500i	−0.351382	+	1.08144i	−0.958078	+	0.286508i	$0.907505\pi$
$140$	−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	−0.666305	−	0.745680i	$-0.732125\pi$
$149$	2.41466	−	15.2455i	0.197816	−	1.24896i	0.864121	−	0.503284i	$-0.167875\pi$
$150$	11.3392	+	9.58775i	0.925844	+	0.782837i
$151$	−0.318835	+	0.625749i	−0.0259464	+	0.0509227i	−0.903616	−	0.428344i	$-0.859097\pi$
$151$	−0.318835	+	0.625749i	−0.0259464	+	0.0509227i	0.877669	+	0.479266i	$0.159097\pi$
$152$	−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	−0.985659	−	0.168751i	$-0.946027\pi$
$157$	−1.11585	+	3.43424i	−0.0890547	+	0.274082i	0.896604	+	0.442833i	$0.146027\pi$
$158$	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	0.391857	−	0.920026i	$-0.371833\pi$
$163$	−6.74321	−	6.74321i	−0.528169	−	0.528169i	−0.920026	+	0.391857i	$0.871833\pi$
$164$	−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	$-0.950496\pi$
$167$		−	4.00341i		−	0.309793i	0.987931	−	0.154896i	$-0.0495044\pi$
$168$	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	0.639777	−	0.768561i	$-0.279027\pi$
$173$	−1.69388	−	1.69388i	−0.128784	−	0.128784i	−0.768561	+	0.639777i	$0.779027\pi$
$174$	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	0.980016	−	0.198920i	$-0.0637435\pi$
$179$	24.7593	+	3.92149i	1.85060	+	0.293106i	0.870581	+	0.492026i	$0.163743\pi$
$180$	−5.65608	−	2.78823i	−0.421579	−	0.207822i
$181$	−3.78896	−	23.9225i	−0.281631	−	1.77815i	−0.571019	−	0.820937i	$-0.693452\pi$
$181$	−3.78896	−	23.9225i	−0.281631	−	1.77815i	0.289388	−	0.957212i	$-0.406548\pi$
$182$	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	−0.911818	−	0.410594i	$-0.865321\pi$
$191$	−6.92705	+	6.92705i	−0.501224	+	0.501224i	0.410594	+	0.911818i	$0.365321\pi$
$192$	−15.2833	−	6.97609i	−1.10297	−	0.503456i
$193$	5.35937	+	7.37655i	0.385776	+	0.530975i	0.957103	−	0.289747i	$-0.0935712\pi$
$193$	5.35937	+	7.37655i	0.385776	+	0.530975i	−0.571327	+	0.820722i	$0.693571\pi$
$194$	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	0.467021	−	0.884246i	$-0.345327\pi$
$197$	16.6243	−	2.63303i	1.18443	−	0.187596i	0.717411	+	0.696651i	$0.245327\pi$
$198$	0.287605	+	3.34726i	0.0204392	+	0.237880i
$199$	−5.92029	+	11.6192i	−0.419678	+	0.823665i	0.580279	+	0.814418i	$0.302943\pi$
$199$	−5.92029	+	11.6192i	−0.419678	+	0.823665i	−0.999957	+	0.00924711i	$0.997057\pi$
$200$	−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	0.876109	−	0.482114i	$-0.160131\pi$
$211$	14.5409	+	7.40894i	1.00103	+	0.510052i	0.124925	+	0.992166i	$0.460131\pi$
$212$	−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	−0.343881	−	0.939013i	$-0.611742\pi$
$223$	9.22759	−	18.1102i	0.617925	−	1.21275i	0.961806	−	0.273733i	$-0.0882583\pi$
$224$	−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	−0.799976	−	0.600032i	$-0.795154\pi$
$227$	3.01192	−	9.26974i	0.199908	−	0.615255i	0.999884	−	0.0152223i	$-0.00484560\pi$
$228$	−21.8314	+	7.44131i	−1.44582	+	0.492813i
$229$	−17.8296	+	2.82393i	−1.17821	+	0.186610i	−0.714668	−	0.699464i	$-0.753422\pi$
$229$	−17.8296	+	2.82393i	−1.17821	+	0.186610i	−0.463544	+	0.886074i	$0.653422\pi$
$230$	−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	−0.0372200	−	0.999307i	$-0.511850\pi$
$233$	7.93816	−	2.57927i	0.520046	−	0.168973i	0.557266	+	0.830334i	$0.311850\pi$
$234$	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	0.749779	−	0.661688i	$-0.230160\pi$
$239$	−3.49770	−	6.86461i	−0.226247	−	0.444035i	−0.976026	+	0.217653i	$0.930160\pi$
$240$	15.4945	+	10.6172i	1.00017	+	0.685334i
$241$	−10.3660	−	14.2675i	−0.667730	−	0.919051i	0.331977	−	0.943288i	$-0.392285\pi$
$241$	−10.3660	−	14.2675i	−0.667730	−	0.919051i	−0.999706	+	0.0242366i	$0.992285\pi$
$242$	−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	−0.856271	−	0.516527i	$-0.827225\pi$
$251$	−9.97517	+	7.24738i	−0.629627	+	0.457451i	0.226644	+	0.973978i	$0.427225\pi$
$252$	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	0.505401	−	0.862885i	$-0.331345\pi$
$257$	−2.55015	−	1.85279i	−0.159074	−	0.115574i	−0.664475	+	0.747311i	$0.731345\pi$
$258$	−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	−0.581536	−	0.813521i	$-0.697548\pi$
$263$	6.03076	−	8.30063i	0.371873	−	0.511839i	0.953409	+	0.301682i	$0.0975480\pi$
$264$	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	−0.777735	−	0.628593i	$-0.783631\pi$
$269$	−17.0156	+	5.52869i	−1.03746	+	0.337090i	−0.259723	+	0.965683i	$0.583631\pi$
$270$	9.77912	+	3.98132i	0.595138	+	0.242295i
$271$	−14.4778	−	4.70412i	−0.879464	−	0.285755i	−0.165729	−	0.986171i	$-0.552998\pi$
$271$	−14.4778	−	4.70412i	−0.879464	−	0.285755i	−0.713735	+	0.700416i	$0.752998\pi$
$272$	−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	0.738039	+	0.674758i	$0.235752\pi$
$277$	4.07152	+	25.7065i	0.244634	+	1.54456i	−0.493406	+	0.869799i	$0.664248\pi$
$278$	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	0.533616	+	0.845727i	$0.320833\pi$
$281$	−7.78213	+	15.2733i	−0.464243	+	0.911128i	−0.997859	+	0.0654015i	$0.979167\pi$
$282$	0.246031	+	0.993355i	0.0146510	+	0.0591534i
$283$	−1.73768	−	0.275221i	−0.103294	−	0.0163602i	0.104573	−	0.994517i	$-0.466652\pi$
$283$	−1.73768	−	0.275221i	−0.103294	−	0.0163602i	−0.207868	+	0.978157i	$0.566652\pi$
$284$	−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	−0.787026	−	0.616920i	$-0.788380\pi$
$293$	−8.77987	−	27.0216i	−0.512925	−	1.57862i	0.274100	−	0.961701i	$-0.411620\pi$
$294$	−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	−0.394789	−	0.918772i	$-0.629182\pi$
$307$	2.04057	−	1.03972i	0.116462	−	0.0593402i	0.511251	+	0.859432i	$0.329182\pi$
$308$	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	0.217820	−	0.975989i	$-0.430105\pi$
$311$	12.8133	−	2.02943i	0.726576	−	0.115078i	0.508756	+	0.860911i	$0.330105\pi$
$312$	−2.02710	+	0.203503i	−0.114762	+	0.0115211i
$313$	−7.50409	+	5.45204i	−0.424156	+	0.308168i	−0.779308	−	0.626641i	$-0.784429\pi$
$313$	−7.50409	+	5.45204i	−0.424156	+	0.308168i	0.355152	+	0.934809i	$0.384429\pi$
$314$	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	0.360235	−	0.932862i	$-0.382697\pi$
$317$	−7.40046	−	5.37675i	−0.415651	−	0.301988i	−0.775886	+	0.630874i	$0.782697\pi$
$318$	−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	−0.997806	−	0.0662078i	$-0.978910\pi$
$331$	−19.3580	−	19.3580i	−1.06401	−	1.06401i	−0.0662078	−	0.997806i	$-0.521090\pi$
$332$	−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	−0.920903	−	0.389792i	$-0.872547\pi$
$337$	−9.74990	+	9.74990i	−0.531111	+	0.531111i	0.389792	+	0.920903i	$0.372547\pi$
$338$	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	0.721542	+	0.692371i	$0.243434\pi$
$347$	−5.01395	+	15.4314i	−0.269163	+	0.828399i	−0.990705	+	0.136028i	$0.956566\pi$
$348$	−7.77128	−	2.40237i	−0.416584	−	0.128780i
$349$	−6.57712	+	20.2423i	−0.352065	+	1.08355i	0.605626	+	0.795749i	$0.292923\pi$
$349$	−6.57712	+	20.2423i	−0.352065	+	1.08355i	−0.957692	+	0.287796i	$0.907077\pi$
$350$	−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	0.686501	−	0.727129i	$-0.259146\pi$
$353$	−5.73557	−	11.2567i	−0.305274	−	0.599133i	−0.991775	+	0.127995i	$0.959146\pi$
$354$	−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	−0.0826856	−	0.996576i	$-0.526350\pi$
$359$	−20.0090	−	14.5374i	−1.05604	−	0.767256i	−0.973351	+	0.229320i	$0.926350\pi$
$360$	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	−0.630541	−	0.776156i	$-0.717167\pi$
$367$	7.04995	−	13.8363i	0.368005	−	0.722250i	0.998546	+	0.0539059i	$0.0171671\pi$
$368$	−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	−0.752639	−	0.658433i	$-0.771219\pi$
$373$	3.21817	−	20.3187i	0.166630	−	1.05206i	0.919269	−	0.393629i	$-0.128781\pi$
$374$	−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	0.996533	+	0.0831929i	$0.0265118\pi$
$379$	26.9358	+	19.5700i	1.38360	+	1.00524i	0.387067	+	0.922052i	$0.373488\pi$
$380$	−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	$0.00773578\pi$
$383$			0.951132i			0.0486006i	−0.999705	+	0.0243003i	$0.992264\pi$
$384$	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	0.127121	+	0.991887i	$0.459426\pi$
$389$	−11.0200	+	33.9162i	−0.558739	+	1.71962i	−0.685860	+	0.727734i	$0.740574\pi$
$390$	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	0.976053	−	0.217532i	$-0.0698008\pi$
$397$	1.16655	+	3.59026i	0.0585473	+	0.180190i	−0.917506	+	0.397722i	$0.869801\pi$
$398$	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	$-0.909738\pi$
$401$		−	11.2053i		−	0.559564i	0.960064	−	0.279782i	$-0.0902621\pi$
$402$	−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	$0.00787714\pi$
$409$			1.00084i			0.0494885i	−0.999694	+	0.0247442i	$0.992123\pi$
$410$	−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	$-0.837722\pi$
$419$		−	19.9788i		−	0.976027i	0.872836	−	0.488013i	$-0.162278\pi$
$420$	17.3956	+	16.9410i	0.848817	+	0.826636i
$421$	−22.6631	+	3.58949i	−1.10453	+	0.174941i	−0.681962	−	0.731388i	$-0.738873\pi$
$421$	−22.6631	+	3.58949i	−1.10453	+	0.174941i	−0.422573	+	0.906329i	$0.638873\pi$
$422$	−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	−0.584510	−	0.811386i	$-0.698713\pi$
$431$	7.58360	−	23.3399i	0.365289	−	1.12425i	0.949800	−	0.312859i	$-0.101287\pi$
$432$	12.8151	+	3.76106i	0.616565	+	0.180954i
$433$	−12.9960	−	6.62178i	−0.624547	−	0.318222i	0.112922	−	0.993604i	$-0.463979\pi$
$433$	−12.9960	−	6.62178i	−0.624547	−	0.318222i	−0.737469	+	0.675381i	$0.763979\pi$
$434$	−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	−0.0890090	−	0.996031i	$-0.528370\pi$
$439$	6.35765	−	40.1406i	0.303434	−	1.91581i	0.392443	−	0.919776i	$-0.371630\pi$
$440$	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	−0.443637	−	0.896207i	$-0.646312\pi$
$443$	−12.3890	+	1.96222i	−0.588617	+	0.0932278i	−0.144980	+	0.989435i	$0.546312\pi$
$444$	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	0.963026	−	0.269409i	$-0.0868282\pi$
$449$	0.541758	+	1.66736i	0.0255671	+	0.0786875i	−0.937459	+	0.348096i	$0.886828\pi$
$450$	−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	0.0603917	−	0.998175i	$-0.480765\pi$
$457$	14.8780	−	4.83414i	0.695962	−	0.226132i	0.635570	+	0.772043i	$0.280765\pi$
$458$	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	0.982592	−	0.185779i	$-0.0594809\pi$
$461$	23.8229	+	17.3083i	1.10954	+	0.806130i	0.126951	+	0.991909i	$0.459481\pi$
$462$	2.92965	−	12.6003i	0.136300	−	0.586220i
$463$	4.37375	−	3.17772i	0.203265	−	0.147681i	−0.481496	−	0.876448i	$-0.659906\pi$
$463$	4.37375	−	3.17772i	0.203265	−	0.147681i	0.684761	+	0.728767i	$0.259906\pi$
$464$	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	0.884290	−	0.466938i	$-0.154643\pi$
$467$	−0.286197	−	0.561693i	−0.0132436	−	0.0259921i	−0.897534	+	0.440946i	$0.854643\pi$
$468$	−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	−0.250483	−	0.968121i	$-0.580589\pi$
$479$	−25.8461	−	13.1693i	−1.18094	−	0.601719i	−0.930456	+	0.366403i	$0.880589\pi$
$480$	−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	0.887816	−	0.460199i	$-0.152222\pi$
$487$	35.0876	+	5.55732i	1.58997	+	0.251826i	0.702153	+	0.712026i	$0.252222\pi$
$488$	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	$0.304752\pi$
$491$			36.2381i			1.63540i	−0.575641	+	0.817702i	$0.695248\pi$
$492$	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	0.870728	−	0.491764i	$-0.163648\pi$
$499$	−0.869372	−	1.70624i	−0.0389184	−	0.0763817i	−0.909647	+	0.415382i	$0.863648\pi$
$500$	−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	0.679233	−	0.733923i	$-0.262313\pi$
$503$	4.28649	+	3.11432i	0.191125	+	0.138861i	−0.488108	+	0.872783i	$0.662313\pi$
$504$	−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	0.447470	−	0.894299i	$-0.352325\pi$
$509$	25.9315	−	4.10714i	1.14939	−	0.182046i	0.701923	+	0.712253i	$0.252325\pi$
$510$	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	0.928969	+	0.370157i	$0.120696\pi$
$521$	−1.57308	+	9.93201i	−0.0689177	+	0.435129i	−0.997887	+	0.0649727i	$0.979304\pi$
$522$	−3.76166	−	0.874610i	−0.164643	−	0.0382806i
$523$	−3.60429	−	22.7566i	−0.157605	−	0.995076i	−0.932022	−	0.362401i	$-0.881957\pi$
$523$	−3.60429	−	22.7566i	−0.157605	−	0.995076i	0.774418	−	0.632675i	$-0.218043\pi$
$524$	−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	−0.619522	−	0.784979i	$-0.712673\pi$
$541$	7.40767	−	10.1958i	0.318481	−	0.438351i	0.938003	+	0.346628i	$0.112673\pi$
$542$	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	−0.164485	−	0.986380i	$-0.552596\pi$
$557$	19.4576	−	26.7811i	0.824446	−	1.13475i	0.988931	−	0.148374i	$-0.0474038\pi$
$558$	−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	0.380061	−	0.924961i	$-0.375903\pi$
$563$	−9.06831	−	6.58851i	−0.382184	−	0.277673i	−0.762245	+	0.647289i	$0.775903\pi$
$564$	−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	−0.465905	−	0.884835i	$-0.654271\pi$
$569$	5.52572	−	4.01467i	0.231650	−	0.168304i	0.697555	+	0.716531i	$0.254271\pi$
$570$	−36.3382	+	3.08178i	−1.52204	+	0.129081i
$571$	26.4625	+	26.4625i	1.10742	+	1.10742i	0.993489	+	0.113931i	$0.0363443\pi$
$571$	26.4625	+	26.4625i	1.10742	+	1.10742i	0.113931	+	0.993489i	$0.463656\pi$
$572$	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	−0.968675	−	0.248333i	$-0.920117\pi$
$587$	−38.9196	+	12.6457i	−1.60638	+	0.521945i	−0.637708	+	0.770278i	$0.720117\pi$
$588$	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	−0.982821	−	0.184559i	$-0.940914\pi$
$593$	−1.92916	+	5.93734i	−0.0792211	+	0.243817i	0.903600	+	0.428376i	$0.140914\pi$
$594$	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	−0.498073	−	0.867135i	$-0.665959\pi$
$599$	10.1463	−	31.2270i	0.414566	−	1.27590i	0.912639	−	0.408767i	$-0.134041\pi$
$600$	19.7201	+	22.2065i	0.805069	+	0.906579i
$601$	22.7001	+	22.7001i	0.925958	+	0.925958i	0.997442	−	0.0714837i	$-0.0227734\pi$
$601$	22.7001	+	22.7001i	0.925958	+	0.925958i	−0.0714837	+	0.997442i	$0.522773\pi$
$602$	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	−0.998855	−	0.0478404i	$-0.984766\pi$
$607$	−1.56868	−	9.90428i	−0.0636709	−	0.402002i	0.935184	−	0.354162i	$-0.115234\pi$
$608$	−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	−0.928803	−	0.370573i	$-0.879161\pi$
$613$	−2.05663	+	4.03636i	−0.0830664	+	0.163027i	0.845737	+	0.533600i	$0.179161\pi$
$614$	−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	−0.349784	−	0.936831i	$-0.613745\pi$
$617$	−32.6215	−	16.6215i	−1.31329	−	0.669156i	−0.963509	+	0.267674i	$0.913745\pi$
$618$	0.311360	+	0.736701i	0.0125247	+	0.0296344i
$619$	8.21609	−	5.96934i	0.330233	−	0.239928i	−0.410297	−	0.911952i	$-0.634575\pi$
$619$	8.21609	−	5.96934i	0.330233	−	0.239928i	0.740529	+	0.672024i	$0.234575\pi$
$620$	−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	0.0657991	−	0.997833i	$-0.479040\pi$
$631$	−11.7430	−	3.81552i	−0.467480	−	0.151893i	−0.533279	+	0.845939i	$0.679040\pi$
$632$	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	−0.455707	−	0.890130i	$-0.650613\pi$
$641$	−29.4745	−	4.66831i	−1.16417	−	0.184387i	−0.708468	+	0.705743i	$0.750613\pi$
$642$	−19.2284	−	45.4957i	−0.758883	−	1.79557i
$643$	5.56928	+	17.1405i	0.219631	+	0.675954i	0.998792	+	0.0491311i	$0.0156452\pi$
$643$	5.56928	+	17.1405i	0.219631	+	0.675954i	−0.779161	+	0.626823i	$0.784355\pi$
$644$	−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	0.610576	−	0.791958i	$-0.290938\pi$
$647$	−4.61366	−	4.61366i	−0.181382	−	0.181382i	−0.791958	+	0.610576i	$0.790938\pi$
$648$	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	$0.115850\pi$
$653$			18.1930i			0.711945i	−0.934496	+	0.355973i	$0.884150\pi$
$654$	−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	0.258765	−	0.965940i	$-0.416684\pi$
$659$	31.4394	−	31.4394i	1.22471	−	1.22471i	0.965940	−	0.258765i	$-0.0833156\pi$
$660$	4.68975	−	15.1114i	0.182548	−	0.588209i
$661$	25.2696	+	34.7806i	0.982872	+	1.35281i	0.935268	+	0.353941i	$0.115159\pi$
$661$	25.2696	+	34.7806i	0.982872	+	1.35281i	0.0476040	+	0.998866i	$0.484841\pi$
$662$	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	0.940255	−	0.340472i	$-0.110587\pi$
$673$	23.5296	+	17.0953i	0.907001	+	0.658975i	−0.0332534	+	0.999447i	$0.510587\pi$
$674$	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	0.940765	−	0.339059i	$-0.110109\pi$
$677$	2.95300	+	5.79558i	0.113493	+	0.222742i	−0.827272	+	0.561801i	$0.810109\pi$
$678$	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	$0.423222\pi$
$683$			50.7554i			1.94210i	−0.238872	+	0.971051i	$0.576778\pi$
$684$	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	0.174347	−	0.984684i	$-0.444218\pi$
$691$	−13.6639	−	6.96212i	−0.519800	−	0.264851i	−0.694148	+	0.719833i	$0.744218\pi$
$692$	−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	−0.824316	−	0.566130i	$-0.808440\pi$
$701$	−14.3137	+	10.3995i	−0.540621	+	0.392784i	0.283694	+	0.958915i	$0.408440\pi$
$702$	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	−0.113778	−	0.993506i	$-0.536295\pi$
$709$	−14.0857	−	2.23095i	−0.528998	−	0.0837851i	−0.415220	+	0.909721i	$0.636295\pi$
$710$	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	0.0536312	−	0.998561i	$-0.482920\pi$
$719$	23.9453	−	12.2007i	0.893007	−	0.455010i	0.839376	+	0.543551i	$0.182920\pi$
$720$	−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	−0.0166131	−	0.999862i	$-0.505288\pi$
$727$	25.3302	−	34.8641i	0.939446	−	1.29304i	0.956059	−	0.293174i	$-0.0947116\pi$
$728$	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	0.0835102	−	0.996507i	$-0.473387\pi$
$733$	−3.92585	−	0.621793i	−0.145004	−	0.0229664i	−0.228515	+	0.973540i	$0.573387\pi$
$734$	−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	−0.696875	−	0.717193i	$-0.745427\pi$
$743$	5.11135	−	32.2718i	0.187517	−	1.18394i	0.884392	−	0.466745i	$-0.154573\pi$
$744$	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	−0.756418	−	0.654088i	$-0.773052\pi$
$751$	5.95666	−	11.6906i	0.217362	−	0.426596i	0.973780	+	0.227492i	$0.0730525\pi$
$752$	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	−0.108638	−	0.994081i	$-0.534649\pi$
$757$	−21.4836	−	6.98045i	−0.780835	−	0.253709i	−0.672197	+	0.740373i	$0.734649\pi$
$758$	−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	0.999726	−	0.0233988i	$-0.00744875\pi$
$761$	4.88765	+	15.0426i	0.177177	+	0.545296i	−0.822549	+	0.568694i	$0.807449\pi$
$762$	−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	−0.573069	−	0.819507i	$-0.694247\pi$
$769$	10.6325	−	14.6343i	0.383417	−	0.527728i	0.956486	+	0.291779i	$0.0942473\pi$
$770$	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	−0.999932	−	0.0116589i	$-0.996289\pi$
$773$	−5.50005	−	16.9274i	−0.197823	−	0.608837i	0.802109	−	0.597178i	$-0.203711\pi$
$774$	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	0.755768	+	0.654840i	$0.227264\pi$
$787$	6.71451	+	42.3938i	0.239347	+	1.51117i	−0.516421	+	0.856335i	$0.672736\pi$
$788$	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	0.468315	+	0.883562i	$0.344861\pi$
$797$	−14.7302	+	28.9096i	−0.521770	+	1.02403i	−0.990085	+	0.140470i	$0.955139\pi$
$798$	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	0.937341	+	0.348413i	$0.113279\pi$
$809$	4.36719	+	27.5734i	0.153542	+	0.969428i	−0.783799	+	0.621015i	$0.786721\pi$
$810$	−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	0.800337	−	0.599550i	$-0.204654\pi$
$827$	31.5016	+	10.2355i	1.09542	+	0.355923i	0.295080	+	0.955473i	$0.404654\pi$
$828$	−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	−0.332755	−	0.943013i	$-0.607978\pi$
$839$	6.79446	−	3.46195i	0.234571	−	0.119520i	0.567326	+	0.823494i	$0.307978\pi$
$840$	−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	−0.921321	−	0.388804i	$-0.872888\pi$
$853$	−4.82602	−	30.4703i	−0.165240	−	1.04328i	0.756081	−	0.654478i	$-0.227112\pi$
$854$	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	0.684917	−	0.728621i	$-0.259838\pi$
$857$	32.5286	+	5.15202i	1.11116	+	0.175990i	0.426239	+	0.904611i	$0.359838\pi$
$858$	0.668100	+	1.58077i	0.0228086	+	0.0539667i
$859$	−33.1007	+	10.7551i	−1.12938	+	0.366958i	−0.813340	−	0.581788i	$-0.802353\pi$
$859$	−33.1007	+	10.7551i	−1.12938	+	0.366958i	−0.316040	+	0.948746i	$0.602353\pi$
$860$	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	0.334057	−	0.942553i	$-0.391582\pi$
$863$	−6.81927	−	3.47459i	−0.232130	−	0.118276i	−0.566187	+	0.824276i	$0.691582\pi$
$864$	−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	−0.887198	−	0.461390i	$-0.847351\pi$
$877$	−30.6627	+	15.6235i	−1.03541	+	0.527566i	−0.148210	+	0.988956i	$0.547351\pi$
$878$	−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	0.563048	−	0.826424i	$-0.309628\pi$
$881$	15.8145	+	5.13845i	0.532804	+	0.173119i	−0.0302440	+	0.999543i	$0.509628\pi$
$882$	0.480941	+	0.404833i	0.0161941	+	0.0136314i
$883$	8.90188	+	2.89240i	0.299572	+	0.0973369i	0.454946	−	0.890519i	$-0.349658\pi$
$883$	8.90188	+	2.89240i	0.299572	+	0.0973369i	−0.155374	+	0.987856i	$0.549658\pi$
$884$	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	−0.131178	−	0.991359i	$-0.541876\pi$
$887$	22.9660	−	16.6858i	0.771124	−	0.560254i	0.902302	+	0.431104i	$0.141876\pi$
$888$	−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	−0.117269	−	0.993100i	$-0.537414\pi$
$907$	−16.1329	−	2.55519i	−0.535683	−	0.0848438i	−0.418414	+	0.908256i	$0.637414\pi$
$908$	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	−0.732465	−	0.680805i	$-0.761630\pi$
$919$	−7.46446	−	47.1287i	−0.246230	−	1.55463i	0.486235	−	0.873828i	$-0.338370\pi$
$920$	−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	−0.672899	−	0.739734i	$-0.734951\pi$
$929$	2.03709	−	2.03709i	0.0668349	−	0.0668349i	0.739734	+	0.672899i	$0.234951\pi$
$930$	−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	−0.997488	−	0.0708393i	$-0.977432\pi$
$937$	−53.9612	+	17.5330i	−1.76283	+	0.572779i	−0.765346	+	0.643619i	$0.777432\pi$
$938$	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	−0.979288	−	0.202471i	$-0.935103\pi$
$941$	−50.6929	+	16.4711i	−1.65254	+	0.536943i	−0.673252	+	0.739414i	$0.735103\pi$
$942$	−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	0.724092	+	0.689704i	$0.242259\pi$
$947$	−5.46814	+	34.5245i	−0.177691	+	1.12189i	−0.901782	+	0.432190i	$0.857741\pi$
$948$	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	0.562975	−	0.826474i	$-0.309657\pi$
$953$	41.7925	−	6.61928i	1.35379	−	0.214419i	0.790816	+	0.612054i	$0.209657\pi$
$954$	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	−0.00153011	−	0.999999i	$-0.500487\pi$
$967$	−29.6369	−	21.5325i	−0.953058	−	0.692437i	−0.951528	+	0.307561i	$0.900487\pi$
$968$	−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	0.327685	+	0.944787i	$0.393732\pi$
$971$	−19.6087	+	38.4842i	−0.629272	+	1.23502i	−0.956957	+	0.290230i	$0.906268\pi$
$972$	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	−0.882395	−	0.470509i	$-0.844070\pi$
$977$	3.37688	−	10.3930i	0.108036	−	0.332501i	0.990431	+	0.138009i	$0.0440702\pi$
$978$	−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	0.880556	−	0.473942i	$-0.157169\pi$
$983$	12.7485	+	12.7485i	0.406614	+	0.406614i	−0.473942	+	0.880556i	$0.657169\pi$
$984$	−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	−0.403200	−	0.915112i	$-0.632102\pi$
$991$	3.15261	−	1.60634i	0.100146	−	0.0510269i	0.503346	+	0.864085i	$0.332102\pi$
$992$	−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	−0.639681	−	0.768641i	$-0.720933\pi$
$997$	−18.1231	−	55.7771i	−0.573964	−	1.76648i	0.0657170	−	0.997838i	$-0.479067\pi$
$998$	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.207.5	yes	960
4.3	odd	2	inner	820.2.bv.c.207.32	yes	960
5.3	odd	4		820.2.bk.c.43.56	yes	960
20.3	even	4		820.2.bk.c.43.30	✓	960
41.21	even	20		820.2.bk.c.267.30	yes	960
164.103	odd	20		820.2.bk.c.267.56	yes	960
205.103	odd	20	inner	820.2.bv.c.103.32	yes	960
820.103	even	20	inner	820.2.bv.c.103.5	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.30	✓	960	20.3	even	4
820.2.bk.c.43.56	yes	960	5.3	odd	4
820.2.bk.c.267.30	yes	960	41.21	even	20
820.2.bk.c.267.56	yes	960	164.103	odd	20
820.2.bv.c.103.5	yes	960	820.103	even	20	inner
820.2.bv.c.103.32	yes	960	205.103	odd	20	inner
820.2.bv.c.207.5	yes	960	1.1	even	1	trivial
820.2.bv.c.207.32	yes	960	4.3	odd	2	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

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