LMFDB - Embedded newform 820.2.bv.c.103.7

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			103.7
Character	$\chi$	$=$	820.103
Dual form			820.2.bv.c.207.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.39595 - 0.226563i) q^{2} -1.94267 q^{3} +(1.89734 + 0.632541i) q^{4} +(1.06878 + 1.96410i) q^{5} +(2.71187 + 0.440138i) q^{6} +(-3.77593 + 1.22687i) q^{7} +(-2.50527 - 1.31286i) q^{8} +0.773974 q^{9} +(-1.04697 - 2.98393i) q^{10} +(-0.621132 + 3.92167i) q^{11} +(-3.68590 - 1.22882i) q^{12} +(-0.656902 - 0.213440i) q^{13} +(5.54897 - 0.857164i) q^{14} +(-2.07629 - 3.81561i) q^{15} +(3.19978 + 2.40029i) q^{16} +(-1.83606 - 2.52712i) q^{17} +(-1.08043 - 0.175354i) q^{18} +(-7.31333 - 3.72633i) q^{19} +(0.785460 + 4.40262i) q^{20} +(7.33540 - 2.38341i) q^{21} +(1.75558 - 5.33372i) q^{22} +(0.0634454 + 0.124519i) q^{23} +(4.86692 + 2.55046i) q^{24} +(-2.71542 + 4.19839i) q^{25} +(0.868643 + 0.446782i) q^{26} +4.32444 q^{27} +(-7.94027 - 0.0606367i) q^{28} +(7.09518 - 1.12377i) q^{29} +(2.03391 + 5.79680i) q^{30} +(5.70984 + 7.85892i) q^{31} +(-3.92291 - 4.07563i) q^{32} +(1.20666 - 7.61852i) q^{33} +(1.99049 + 3.94372i) q^{34} +(-6.44535 - 6.10507i) q^{35} +(1.46849 + 0.489570i) q^{36} +(2.15297 - 0.340997i) q^{37} +(9.36478 + 6.85869i) q^{38} +(1.27615 + 0.414645i) q^{39} +(-0.0989891 - 6.32378i) q^{40} +(-6.12018 - 1.88239i) q^{41} +(-10.7798 + 1.66519i) q^{42} +(2.72949 - 1.39075i) q^{43} +(-3.65912 + 7.04785i) q^{44} +(0.827208 + 1.52017i) q^{45} +(-0.0603551 - 0.188196i) q^{46} +(1.71965 - 5.29255i) q^{47} +(-6.21613 - 4.66297i) q^{48} +(7.08932 - 5.15070i) q^{49} +(4.74178 - 5.24552i) q^{50} +(3.56687 + 4.90937i) q^{51} +(-1.11136 - 0.820486i) q^{52} +(-5.12255 + 7.05059i) q^{53} +(-6.03669 - 0.979760i) q^{54} +(-8.36643 + 2.97144i) q^{55} +(11.0705 + 1.88362i) q^{56} +(14.2074 + 7.23904i) q^{57} +(-10.1591 - 0.0387900i) q^{58} +(3.88082 - 11.9439i) q^{59} +(-1.52589 - 8.55284i) q^{60} +(3.25904 - 1.05893i) q^{61} +(-6.19009 - 12.2643i) q^{62} +(-2.92247 + 0.949569i) q^{63} +(4.55279 + 6.57815i) q^{64} +(-0.282865 - 1.51835i) q^{65} +(-3.41051 + 10.3617i) q^{66} +(-0.746020 - 0.542015i) q^{67} +(-1.88512 - 5.95620i) q^{68} +(-0.123254 - 0.241899i) q^{69} +(7.61419 + 9.98263i) q^{70} +(2.55138 - 16.1088i) q^{71} +(-1.93902 - 1.01612i) q^{72} +(0.650616 - 0.650616i) q^{73} +(-3.08269 - 0.0117705i) q^{74} +(5.27516 - 8.15610i) q^{75} +(-11.5188 - 11.6961i) q^{76} +(-2.46605 - 15.5700i) q^{77} +(-1.68749 - 0.867950i) q^{78} +(-4.91440 - 4.91440i) q^{79} +(-1.29455 + 8.85009i) q^{80} -10.7229 q^{81} +(8.11697 + 4.01432i) q^{82} +(-2.84351 + 2.84351i) q^{83} +(15.4253 + 0.117797i) q^{84} +(3.00119 - 6.30716i) q^{85} +(-4.12532 + 1.32300i) q^{86} +(-13.7836 + 2.18311i) q^{87} +(6.70472 - 9.00940i) q^{88} +(-5.28228 - 2.69145i) q^{89} +(-0.810325 - 2.30949i) q^{90} +2.74228 q^{91} +(0.0416142 + 0.276386i) q^{92} +(-11.0923 - 15.2673i) q^{93} +(-3.59964 + 6.99851i) q^{94} +(-0.497446 - 18.3468i) q^{95} +(7.62093 + 7.91761i) q^{96} +(0.132528 - 0.182409i) q^{97} +(-11.0633 + 5.58392i) q^{98} +(-0.480740 + 3.03527i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.39595	−	0.226563i	−0.987084	−	0.160205i
$2$	−1.39595	−	0.226563i	−0.987084	−	0.160205i
$3$	−1.94267			−1.12160			−0.560801	−	0.827951i	$-0.689507\pi$
$3$	−1.94267			−1.12160			−0.560801	+	0.827951i	$0.689507\pi$
$4$	1.89734	+	0.632541i	0.948669	+	0.316271i
$5$	1.06878	+	1.96410i	0.477973	+	0.878374i
$5$	1.06878	+	1.96410i	0.477973	+	0.878374i
$6$	2.71187	+	0.440138i	1.10712	+	0.179686i
$7$	−3.77593	+	1.22687i	−1.42717	+	0.463715i	−0.917872	−	0.396876i	$-0.870094\pi$
$7$	−3.77593	+	1.22687i	−1.42717	+	0.463715i	−0.509296	+	0.860591i	$0.670094\pi$
$8$	−2.50527	−	1.31286i	−0.885748	−	0.464167i
$9$	0.773974			0.257991
$10$	−1.04697	−	2.98393i	−0.331080	−	0.943603i
$11$	−0.621132	+	3.92167i	−0.187278	+	1.18243i	0.697558	+	0.716528i	$0.254270\pi$
$11$	−0.621132	+	3.92167i	−0.187278	+	1.18243i	−0.884837	+	0.465901i	$0.845730\pi$
$12$	−3.68590	−	1.22882i	−1.06403	−	0.354730i
$13$	−0.656902	−	0.213440i	−0.182192	−	0.0591977i	0.216500	−	0.976283i	$-0.430536\pi$
$13$	−0.656902	−	0.213440i	−0.182192	−	0.0591977i	−0.398692	+	0.917085i	$0.630536\pi$
$14$	5.54897	−	0.857164i	1.48302	−	0.229087i
$15$	−2.07629	−	3.81561i	−0.536096	−	0.985187i
$16$	3.19978	+	2.40029i	0.799946	+	0.600072i
$17$	−1.83606	−	2.52712i	−0.445311	−	0.612918i	0.526071	−	0.850441i	$-0.323665\pi$
$17$	−1.83606	−	2.52712i	−0.445311	−	0.612918i	−0.971382	+	0.237523i	$0.923665\pi$
$18$	−1.08043	−	0.175354i	−0.254659	−	0.0413314i
$19$	−7.31333	−	3.72633i	−1.67779	−	0.854879i	−0.991877	−	0.127199i	$-0.959401\pi$
$19$	−7.31333	−	3.72633i	−1.67779	−	0.854879i	−0.685917	−	0.727680i	$-0.740599\pi$
$20$	0.785460	+	4.40262i	0.175634	+	0.984455i
$21$	7.33540	−	2.38341i	1.60071	−	0.520104i
$22$	1.75558	−	5.33372i	0.374290	−	1.13715i
$23$	0.0634454	+	0.124519i	0.0132293	+	0.0259639i	0.897527	−	0.440960i	$-0.145362\pi$
$23$	0.0634454	+	0.124519i	0.0132293	+	0.0259639i	−0.884297	+	0.466924i	$0.845362\pi$
$24$	4.86692	+	2.55046i	0.993457	+	0.520610i
$25$	−2.71542	+	4.19839i	−0.543083	+	0.839679i
$26$	0.868643	+	0.446782i	0.170355	+	0.0876211i
$27$	4.32444			0.832239
$28$	−7.94027	−	0.0606367i	−1.50057	−	0.0114593i
$29$	7.09518	−	1.12377i	1.31754	−	0.208678i	0.542216	−	0.840239i	$-0.317585\pi$
$29$	7.09518	−	1.12377i	1.31754	−	0.208678i	0.775326	+	0.631561i	$0.217585\pi$
$30$	2.03391	+	5.79680i	0.371340	+	1.05835i
$31$	5.70984	+	7.85892i	1.02552	+	1.41150i	0.908262	+	0.418402i	$0.137410\pi$
$31$	5.70984	+	7.85892i	1.02552	+	1.41150i	0.117256	+	0.993102i	$0.462590\pi$
$32$	−3.92291	−	4.07563i	−0.693479	−	0.720477i
$33$	1.20666	−	7.61852i	0.210052	−	1.32621i
$34$	1.99049	+	3.94372i	0.341367	+	0.676342i
$35$	−6.44535	−	6.10507i	−1.08946	−	1.03194i
$36$	1.46849	+	0.489570i	0.244748	+	0.0815950i
$37$	2.15297	−	0.340997i	0.353946	−	0.0560596i	0.0230703	−	0.999734i	$-0.492656\pi$
$37$	2.15297	−	0.340997i	0.353946	−	0.0560596i	0.330876	+	0.943674i	$0.392656\pi$
$38$	9.36478	+	6.85869i	1.51917	+	1.11263i
$39$	1.27615	+	0.414645i	0.204347	+	0.0663963i
$40$	−0.0989891	−	6.32378i	−0.0156516	−	0.999878i
$41$	−6.12018	−	1.88239i	−0.955812	−	0.293980i
$41$	−6.12018	−	1.88239i	−0.955812	−	0.293980i
$42$	−10.7798	+	1.66519i	−1.66336	+	0.256944i
$43$	2.72949	−	1.39075i	0.416244	−	0.212087i	−0.233310	−	0.972402i	$-0.574956\pi$
$43$	2.72949	−	1.39075i	0.416244	−	0.212087i	0.649554	+	0.760316i	$0.274956\pi$
$44$	−3.65912	+	7.04785i	−0.551633	+	1.06250i
$45$	0.827208	+	1.52017i	0.123313	+	0.226613i
$46$	−0.0603551	−	0.188196i	−0.00889887	−	0.0277480i
$47$	1.71965	−	5.29255i	0.250837	−	0.771997i	−0.743784	−	0.668420i	$-0.766971\pi$
$47$	1.71965	−	5.29255i	0.250837	−	0.771997i	0.994621	−	0.103578i	$-0.0330290\pi$
$48$	−6.21613	−	4.66297i	−0.897221	−	0.673042i
$49$	7.08932	−	5.15070i	1.01276	−	0.735814i
$50$	4.74178	−	5.24552i	0.670589	−	0.741829i
$51$	3.56687	+	4.90937i	0.499462	+	0.687450i
$52$	−1.11136	−	0.820486i	−0.154117	−	0.113781i
$53$	−5.12255	+	7.05059i	−0.703637	+	0.968473i	0.296274	+	0.955103i	$0.404256\pi$
$53$	−5.12255	+	7.05059i	−0.703637	+	0.968473i	−0.999911	+	0.0133701i	$0.995744\pi$
$54$	−6.03669	−	0.979760i	−0.821489	−	0.133328i
$55$	−8.36643	+	2.97144i	−1.12813	+	0.400669i
$56$	11.0705	+	1.88362i	1.47935	+	0.251709i
$57$	14.2074	+	7.23904i	1.88182	+	0.958834i
$58$	−10.1591	−	0.0387900i	−1.33396	−	0.00509337i
$59$	3.88082	−	11.9439i	0.505240	−	1.55497i	−0.295128	−	0.955458i	$-0.595362\pi$
$59$	3.88082	−	11.9439i	0.505240	−	1.55497i	0.800367	−	0.599510i	$-0.204638\pi$
$60$	−1.52589	−	8.55284i	−0.196992	−	1.10417i
$61$	3.25904	−	1.05893i	0.417278	−	0.135582i	−0.0928507	−	0.995680i	$-0.529598\pi$
$61$	3.25904	−	1.05893i	0.417278	−	0.135582i	0.510128	+	0.860098i	$0.329598\pi$
$62$	−6.19009	−	12.2643i	−0.786143	−	1.55757i
$63$	−2.92247	+	0.949569i	−0.368197	+	0.119634i
$64$	4.55279	+	6.57815i	0.569099	+	0.822269i
$65$	−0.282865	−	1.51835i	−0.0350851	−	0.188328i
$66$	−3.41051	+	10.3617i	−0.419804	+	1.27543i
$67$	−0.746020	−	0.542015i	−0.0911408	−	0.0662177i	0.541282	−	0.840841i	$-0.317939\pi$
$67$	−0.746020	−	0.542015i	−0.0911408	−	0.0662177i	−0.632422	+	0.774624i	$0.717939\pi$
$68$	−1.88512	−	5.95620i	−0.228605	−	0.722295i
$69$	−0.123254	−	0.241899i	−0.0148380	−	0.0291212i
$70$	7.61419	+	9.98263i	0.910070	+	1.19315i
$71$	2.55138	−	16.1088i	0.302793	−	1.91176i	−0.0972432	−	0.995261i	$-0.531002\pi$
$71$	2.55138	−	16.1088i	0.302793	−	1.91176i	0.400036	−	0.916499i	$-0.368998\pi$
$72$	−1.93902	−	1.01612i	−0.228515	−	0.119751i
$73$	0.650616	−	0.650616i	0.0761488	−	0.0761488i	−0.668007	−	0.744155i	$-0.732852\pi$
$73$	0.650616	−	0.650616i	0.0761488	−	0.0761488i	0.744155	+	0.668007i	$0.232852\pi$
$74$	−3.08269	−	0.0117705i	−0.358356	−	0.00136829i
$75$	5.27516	−	8.15610i	0.609123	−	0.941785i
$76$	−11.5188	−	11.6961i	−1.32130	−	1.34163i
$77$	−2.46605	−	15.5700i	−0.281032	−	1.77437i
$78$	−1.68749	−	0.867950i	−0.191070	−	0.0982760i
$79$	−4.91440	−	4.91440i	−0.552914	−	0.552914i	0.374367	−	0.927281i	$-0.377860\pi$
$79$	−4.91440	−	4.91440i	−0.552914	−	0.552914i	−0.927281	+	0.374367i	$0.877860\pi$
$80$	−1.29455	+	8.85009i	−0.144736	+	0.989470i
$81$	−10.7229			−1.19143
$82$	8.11697	+	4.01432i	0.896369	+	0.443308i
$83$	−2.84351	+	2.84351i	−0.312116	+	0.312116i	−0.845729	−	0.533613i	$-0.820834\pi$
$83$	−2.84351	+	2.84351i	−0.312116	+	0.312116i	0.533613	+	0.845729i	$0.320834\pi$
$84$	15.4253	+	0.117797i	1.68304	+	0.0128527i
$85$	3.00119	−	6.30716i	0.325525	−	0.684108i
$86$	−4.12532	+	1.32300i	−0.444845	+	0.142663i
$87$	−13.7836	+	2.18311i	−1.47776	+	0.234054i
$88$	6.70472	−	9.00940i	0.714726	−	0.960406i
$89$	−5.28228	−	2.69145i	−0.559920	−	0.285294i	0.151038	−	0.988528i	$-0.451738\pi$
$89$	−5.28228	−	2.69145i	−0.559920	−	0.285294i	−0.710958	+	0.703234i	$0.751738\pi$
$90$	−0.810325	−	2.30949i	−0.0854157	−	0.243441i
$91$	2.74228			0.287469
$92$	0.0416142	+	0.276386i	0.00433858	+	0.0288152i
$93$	−11.0923	−	15.2673i	−1.15022	−	1.58315i
$94$	−3.59964	+	6.99851i	−0.371275	+	0.721841i
$95$	−0.497446	−	18.3468i	−0.0510369	−	1.88234i
$96$	7.62093	+	7.91761i	0.777808	+	0.808088i
$97$	0.132528	−	0.182409i	0.0134561	−	0.0185208i	−0.802236	−	0.597007i	$-0.796356\pi$
$97$	0.132528	−	0.182409i	0.0134561	−	0.0185208i	0.815692	+	0.578486i	$0.196356\pi$
$98$	−11.0633	+	5.58392i	−1.11756	+	0.564061i
$99$	−0.480740	+	3.03527i	−0.0483162	+	0.305056i
$100$	−7.80772	+	6.24816i	−0.780772	+	0.624816i
$101$	−12.9732	−	6.61020i	−1.29089	−	0.657739i	−0.332470	−	0.943114i	$-0.607882\pi$
$101$	−12.9732	−	6.61020i	−1.29089	−	0.657739i	−0.958416	+	0.285374i	$0.907882\pi$
$102$	−3.86688	−	7.66135i	−0.382878	−	0.758587i
$103$	−2.38921	+	4.68908i	−0.235415	+	0.462029i	−0.978245	−	0.207451i	$-0.933483\pi$
$103$	−2.38921	+	4.68908i	−0.235415	+	0.462029i	0.742830	+	0.669480i	$0.233483\pi$
$104$	1.36550	+	1.39715i	0.133898	+	0.137002i
$105$	12.5212	+	11.8601i	1.22194	+	1.15743i
$106$	8.74822	−	8.68167i	0.849702	−	0.843238i
$107$	8.03875	−	15.7769i	0.777136	−	1.52521i	−0.0722168	−	0.997389i	$-0.523007\pi$
$107$	8.03875	−	15.7769i	0.777136	−	1.52521i	0.849353	−	0.527826i	$-0.176993\pi$
$108$	8.20492	+	2.73539i	0.789519	+	0.263213i
$109$	3.90272	+	3.90272i	0.373813	+	0.373813i	0.868864	−	0.495051i	$-0.164851\pi$
$109$	3.90272	+	3.90272i	0.373813	+	0.373813i	−0.495051	+	0.868864i	$0.664851\pi$
$110$	12.3523	−	2.25245i	1.17775	−	0.214762i
$111$	−4.18251	+	0.662445i	−0.396987	+	0.0628765i
$112$	−15.0270	−	5.13760i	−1.41992	−	0.485457i
$113$	5.87578	+	0.930632i	0.552747	+	0.0875465i	0.426559	−	0.904460i	$-0.359726\pi$
$113$	5.87578	+	0.930632i	0.552747	+	0.0875465i	0.126188	+	0.992006i	$0.459726\pi$
$114$	−18.1927	−	13.3242i	−1.70390	−	1.24792i
$115$	−0.176758	+	0.257696i	−0.0164828	+	0.0240303i
$116$	14.1728	+	2.35583i	1.31591	+	0.218733i
$117$	−0.508425	−	0.165197i	−0.0470039	−	0.0152725i
$118$	−8.12348	+	15.7939i	−0.747827	+	1.45394i
$119$	10.0333	+	7.28963i	0.919753	+	0.668239i
$120$	0.192303	+	12.2850i	0.0175548	+	1.12146i
$121$	−4.53209	−	1.47257i	−0.412009	−	0.133870i
$122$	−4.78936	+	0.739826i	−0.433609	+	0.0669807i
$123$	11.8895	+	3.65686i	1.07204	+	0.329728i
$124$	5.86241	+	18.5227i	0.526460	+	1.66339i
$125$	−11.1483	−	0.846202i	−0.997132	−	0.0756866i
$126$	4.29475	−	0.663423i	0.382607	−	0.0591024i
$127$	0.908705	+	5.73734i	0.0806345	+	0.509106i	0.994640	+	0.103403i	$0.0329732\pi$
$127$	0.908705	+	5.73734i	0.0806345	+	0.509106i	−0.914005	+	0.405703i	$0.867027\pi$
$128$	−4.86508	−	10.2143i	−0.430017	−	0.902821i
$129$	−5.30251	+	2.70176i	−0.466860	+	0.237877i
$130$	0.0508627	+	2.18362i	0.00446095	+	0.191516i
$131$	−6.74020	+	4.89705i	−0.588894	+	0.427857i	−0.841920	−	0.539603i	$-0.818574\pi$
$131$	−6.74020	+	4.89705i	−0.588894	+	0.427857i	0.253025	+	0.967460i	$0.418574\pi$
$132$	7.10846	−	13.6917i	0.618712	−	1.19171i
$133$	32.1864	+	5.09782i	2.79091	+	0.442037i
$134$	0.918604	+	0.925645i	0.0793553	+	0.0799636i
$135$	4.62188	+	8.49365i	0.397788	+	0.731017i
$136$	1.28208	+	8.74164i	0.109937	+	0.749589i
$137$			17.2573i			1.47439i	0.675682	+	0.737193i	$0.263849\pi$
$137$			17.2573i			1.47439i	−0.675682	+	0.737193i	$0.736151\pi$
$138$	0.117250	+	0.365603i	0.00998099	+	0.0311222i
$139$	−0.00890311	−	0.0274009i	−0.000755152	−	0.00232412i	0.950678	−	0.310179i	$-0.100389\pi$
$139$	−0.00890311	−	0.0274009i	−0.000755152	−	0.00232412i	−0.951433	+	0.307855i	$0.900389\pi$
$140$	−8.36731	−	15.6603i	−0.707167	−	1.32354i
$141$	−3.34072	+	10.2817i	−0.281340	+	0.865874i
$142$	−7.21125	+	21.9090i	−0.605155	+	1.83856i
$143$	1.24507	−	2.44358i	0.104118	−	0.204342i
$144$	2.47655	+	1.85776i	0.206379	+	0.154813i
$145$	9.79039	+	12.7346i	0.813048	+	1.05755i
$146$	−1.05563	+	0.760819i	−0.0873646	+	0.0629659i
$147$	−13.7722	+	10.0061i	−1.13591	+	0.825290i
$148$	4.30061	+	0.714856i	0.353508	+	0.0587608i
$149$	−3.33284	−	21.0428i	−0.273037	−	1.72389i	−0.618784	−	0.785562i	$-0.712374\pi$
$149$	−3.33284	−	21.0428i	−0.273037	−	1.72389i	0.345746	−	0.938328i	$-0.387626\pi$
$150$	−9.21172	+	10.1903i	−0.752134	+	0.832037i
$151$	5.38367	+	10.5660i	0.438117	+	0.859852i	0.999479	+	0.0322819i	$0.0102774\pi$
$151$	5.38367	+	10.5660i	0.438117	+	0.859852i	−0.561362	+	0.827570i	$0.689723\pi$
$152$	13.4297	+	18.9369i	1.08930	+	1.53598i
$153$	−1.42106	−	1.95593i	−0.114886	−	0.158127i
$154$	−0.0851226	+	22.2936i	−0.00685937	+	1.79647i
$155$	−9.33318	+	19.6142i	−0.749659	+	1.57545i
$156$	2.15900	+	1.59394i	0.172858	+	0.127617i
$157$	−2.35754	−	7.25577i	−0.188152	−	0.579074i	0.811836	−	0.583886i	$-0.198468\pi$
$157$	−2.35754	−	7.25577i	−0.188152	−	0.579074i	−0.999988	+	0.00481187i	$0.998468\pi$
$158$	5.74683	+	7.97367i	0.457193	+	0.634351i
$159$	9.95144	−	13.6970i	0.789201	−	1.08624i
$160$	3.81224	−	12.0610i	0.301384	−	0.953503i
$161$	−0.392334	−	0.392334i	−0.0309203	−	0.0309203i
$162$	14.9686	+	2.42941i	1.17604	+	0.190873i
$163$	−0.268366	+	0.268366i	−0.0210200	+	0.0210200i	−0.717539	−	0.696519i	$-0.754731\pi$
$163$	−0.268366	+	0.268366i	−0.0210200	+	0.0210200i	0.696519	+	0.717539i	$0.254731\pi$
$164$	−10.4214	−	7.44279i	−0.813772	−	0.581184i
$165$	16.2532	−	5.77253i	1.26531	−	0.449391i
$166$	4.61362	−	3.32515i	0.358087	−	0.258082i
$167$			13.8256i			1.06986i	0.844898	+	0.534928i	$0.179661\pi$
$167$			13.8256i			1.06986i	−0.844898	+	0.534928i	$0.820339\pi$
$168$	−21.5063	−	3.65926i	−1.65924	−	0.282318i
$169$	−10.1313	−	7.36079i	−0.779327	−	0.566215i
$170$	−5.61847	+	8.12451i	−0.430917	+	0.623121i
$171$	−5.66033	−	2.88408i	−0.432856	−	0.220551i
$172$	6.05847	−	0.912199i	0.461954	−	0.0695545i
$173$	6.59554	−	6.59554i	0.501450	−	0.501450i	−0.410438	−	0.911888i	$-0.634624\pi$
$173$	6.59554	−	6.59554i	0.501450	−	0.501450i	0.911888	+	0.410438i	$0.134624\pi$
$174$	19.7358	+	0.0753561i	1.49617	+	0.00571273i
$175$	5.10233	−	19.1843i	0.385700	−	1.45020i
$176$	−11.4006	+	11.0576i	−0.859355	+	0.833499i
$177$	−7.53916	+	23.2031i	−0.566678	+	1.74405i
$178$	6.76399	+	4.95390i	0.506983	+	0.371310i
$179$	6.53662	−	1.03530i	0.488570	−	0.0773818i	0.0927106	−	0.995693i	$-0.470447\pi$
$179$	6.53662	−	1.03530i	0.488570	−	0.0773818i	0.395859	+	0.918311i	$0.370447\pi$
$180$	0.607926	+	3.40751i	0.0453121	+	0.253981i
$181$	0.374492	−	2.36445i	0.0278358	−	0.175748i	−0.969854	−	0.243688i	$-0.921643\pi$
$181$	0.374492	−	2.36445i	0.0278358	−	0.175748i	0.997689	+	0.0679401i	$0.0216427\pi$
$182$	−3.82808	−	0.621301i	−0.283756	−	0.0460539i
$183$	−6.33125	+	2.05715i	−0.468019	+	0.152069i
$184$	0.00452764	−	0.395248i	0.000333782	−	0.0291381i
$185$	2.97081	+	3.86421i	0.218418	+	0.284102i
$186$	12.0253	+	23.8255i	0.881739	+	1.74697i
$187$	11.0510	−	5.63076i	0.808129	−	0.411762i
$188$	6.61052	−	8.95400i	0.482122	−	0.653038i
$189$	−16.3288	+	5.30554i	−1.18774	+	0.385922i
$190$	−3.46230	+	25.7238i	−0.251182	+	1.86620i
$191$	14.1579	+	14.1579i	1.02443	+	1.02443i	0.999694	+	0.0247385i	$0.00787531\pi$
$191$	14.1579	+	14.1579i	1.02443	+	1.02443i	0.0247385	+	0.999694i	$0.492125\pi$
$192$	−8.84457	−	12.7792i	−0.638302	−	0.922259i
$193$	−5.08269	+	6.99572i	−0.365860	+	0.503563i	−0.951770	−	0.306813i	$-0.900737\pi$
$193$	−5.08269	+	6.99572i	−0.365860	+	0.503563i	0.585910	+	0.810376i	$0.300737\pi$
$194$	−0.226329	+	0.224607i	−0.0162494	+	0.0161258i
$195$	0.549513	+	2.94965i	0.0393515	+	0.211229i
$196$	16.7089	−	5.28832i	1.19349	−	0.377737i
$197$	−18.1448	−	2.87386i	−1.29277	−	0.204754i	−0.528100	−	0.849182i	$-0.677095\pi$
$197$	−18.1448	−	2.87386i	−1.29277	−	0.204754i	−0.764665	+	0.644428i	$0.777095\pi$
$198$	1.35877	−	4.12816i	0.0965635	−	0.293376i
$199$	4.73631	+	9.29553i	0.335748	+	0.658943i	0.995727	−	0.0923411i	$-0.0294350\pi$
$199$	4.73631	+	9.29553i	0.335748	+	0.658943i	−0.659979	+	0.751284i	$0.729435\pi$
$200$	12.3148	−	6.95316i	0.870786	−	0.491663i
$201$	1.44927	+	1.05296i	0.102224	+	0.0742699i
$202$	16.6123	+	12.1668i	1.16884	+	0.856050i
$203$	−25.4122	+	12.9482i	−1.78359	+	0.908783i
$204$	3.66217	+	11.5709i	0.256404	+	0.810127i
$205$	−2.84392	−	14.0325i	−0.198628	−	0.980075i
$206$	4.39758	−	6.00440i	0.306394	−	0.418346i
$207$	0.0491050	+	0.0963741i	0.00341304	+	0.00669846i
$208$	−1.58963	−	2.25972i	−0.110221	−	0.156683i
$209$	19.1560	−	26.3660i	1.32505	−	1.82377i
$210$	−14.7919	−	19.3930i	−1.02074	−	1.33824i
$211$	−21.2264	+	10.8154i	−1.46128	+	0.744561i	−0.990477	−	0.137677i	$-0.956037\pi$
$211$	−21.2264	+	10.8154i	−1.46128	+	0.744561i	−0.470805	+	0.882237i	$0.656037\pi$
$212$	−14.1790	+	10.1371i	−0.973818	+	0.696221i
$213$	−4.95649	+	31.2941i	−0.339613	+	2.14423i
$214$	−14.7962	+	20.2025i	−1.01144	+	1.38101i
$215$	5.64880	+	3.87461i	0.385245	+	0.264246i
$216$	−10.8339	−	5.67739i	−0.737154	−	0.386297i
$217$	−31.2019	−	22.6695i	−2.11812	−	1.53891i
$218$	−4.56378	−	6.33221i	−0.309098	−	0.428871i
$219$	−1.26393	+	1.26393i	−0.0854087	+	0.0854087i
$220$	−17.7535	+	0.345712i	−1.19694	+	0.0233079i
$221$	0.666723	+	2.05196i	0.0448487	+	0.138030i
$222$	5.98866	+	0.0228662i	0.401932	+	0.00153468i
$223$	2.82108	+	5.53669i	0.188914	+	0.370764i	0.965965	−	0.258673i	$-0.0832853\pi$
$223$	2.82108	+	5.53669i	0.188914	+	0.370764i	−0.777051	+	0.629438i	$0.783285\pi$
$224$	19.8129	+	10.5764i	1.32381	+	0.706664i
$225$	−2.10166	+	3.24945i	−0.140111	+	0.216630i
$226$	−7.99143	−	2.63035i	−0.531582	−	0.174968i
$227$	−3.74360	−	11.5216i	−0.248472	−	0.764717i	−0.995046	−	0.0994154i	$-0.968303\pi$
$227$	−3.74360	−	11.5216i	−0.248472	−	0.764717i	0.746574	−	0.665302i	$-0.231697\pi$
$228$	22.3773	+	22.7217i	1.48197	+	1.50478i
$229$	−10.5315	−	1.66803i	−0.695944	−	0.110227i	−0.201568	−	0.979475i	$-0.564604\pi$
$229$	−10.5315	−	1.66803i	−0.695944	−	0.110227i	−0.494377	+	0.869248i	$0.664604\pi$
$230$	0.305130	−	0.319684i	0.0201197	−	0.0210793i
$231$	4.79072	+	30.2474i	0.315207	+	1.99014i
$232$	−19.2507	−	6.49965i	−1.26387	−	0.426723i
$233$	8.18603	+	2.65980i	0.536285	+	0.174250i	0.564623	−	0.825349i	$-0.309022\pi$
$233$	8.18603	+	2.65980i	0.536285	+	0.174250i	−0.0283382	+	0.999598i	$0.509022\pi$
$234$	0.672307	+	0.345797i	0.0439501	+	0.0226055i
$235$	12.2331	−	2.27899i	0.797996	−	0.148665i
$236$	14.9183	−	20.2069i	0.971096	−	1.31536i
$237$	9.54707	+	9.54707i	0.620149	+	0.620149i
$238$	−12.3544	−	12.4491i	−0.800818	−	0.806957i
$239$	7.87540	−	15.4564i	0.509418	−	0.999788i	−0.482854	−	0.875701i	$-0.660400\pi$
$239$	7.87540	−	15.4564i	0.509418	−	0.999788i	0.992271	−	0.124087i	$-0.0396003\pi$
$240$	2.51489	−	17.1928i	0.162336	−	1.10979i
$241$	3.78517	−	5.20983i	0.243824	−	0.335595i	−0.669512	−	0.742801i	$-0.733497\pi$
$241$	3.78517	−	5.20983i	0.243824	−	0.335595i	0.913336	+	0.407206i	$0.133497\pi$
$242$	5.99293	+	3.08243i	0.385240	+	0.198146i
$243$	7.85773			0.504074
$244$	6.85332	+	0.0523360i	0.438739	+	0.00335047i
$245$	17.6934	+	8.41921i	1.13039	+	0.537884i
$246$	−15.7686	−	7.79851i	−1.00537	−	0.497215i
$247$	4.00880	+	4.00880i	0.255074	+	0.255074i
$248$	−3.98703	−	27.1850i	−0.253177	−	1.72625i
$249$	5.52400	−	5.52400i	0.350070	−	0.350070i
$250$	15.3707	+	3.70704i	0.972127	+	0.234454i
$251$	−9.35884	−	6.79960i	−0.590725	−	0.429187i	0.251850	−	0.967766i	$-0.418961\pi$
$251$	−9.35884	−	6.79960i	−0.590725	−	0.429187i	−0.842575	+	0.538580i	$0.818961\pi$
$252$	−6.14556	−	0.0469312i	−0.387134	−	0.00295639i
$253$	−0.527729	+	0.171470i	−0.0331780	+	0.0107802i
$254$	0.0313665	−	8.21490i	0.00196811	−	0.515449i
$255$	−5.83033	+	12.2527i	−0.365109	+	0.767297i
$256$	4.47723	+	15.3608i	0.279827	+	0.960051i
$257$	22.8669	−	16.6138i	1.42640	−	1.03634i	0.435726	−	0.900079i	$-0.356492\pi$
$257$	22.8669	−	16.6138i	1.42640	−	1.03634i	0.990673	−	0.136261i	$-0.0435084\pi$
$258$	8.01414	−	2.57016i	0.498939	−	0.160011i
$259$	−7.71111	+	3.92901i	−0.479145	+	0.244137i
$260$	0.423726	−	3.05974i	0.0262784	−	0.189757i
$261$	5.49148	−	0.869766i	0.339914	−	0.0538371i
$262$	10.5185	−	5.30893i	0.649833	−	0.327987i
$263$	−15.0632	−	20.7327i	−0.928838	−	1.27844i	−0.960311	−	0.278931i	$-0.910020\pi$
$263$	−15.0632	−	20.7327i	−0.928838	−	1.27844i	0.0314733	−	0.999505i	$-0.489980\pi$
$264$	−13.0251	+	17.5023i	−0.801638	+	1.07719i
$265$	−19.3230	−	2.52570i	−1.18700	−	0.155153i
$266$	−43.7755	−	14.4086i	−2.68405	−	0.883445i
$267$	10.2617	+	5.22861i	0.628008	+	0.319986i
$268$	−1.07260	−	1.50027i	−0.0655198	−	0.0916438i
$269$	−10.9748	−	3.56592i	−0.669145	−	0.217418i	−0.0453080	−	0.998973i	$-0.514427\pi$
$269$	−10.9748	−	3.56592i	−0.669145	−	0.217418i	−0.623837	+	0.781555i	$0.714427\pi$
$270$	−4.52754	−	12.9038i	−0.275538	−	0.785303i
$271$	−10.6949	+	3.47499i	−0.649669	+	0.211090i	−0.615268	−	0.788318i	$-0.710952\pi$
$271$	−10.6949	+	3.47499i	−0.649669	+	0.211090i	−0.0344010	+	0.999408i	$0.510952\pi$
$272$	0.190824	−	12.4933i	0.0115704	−	0.757520i
$273$	−5.32735			−0.322426
$274$	3.90986	−	24.0902i	0.236203	−	1.45534i
$275$	−14.7781	−	13.2567i	−0.891153	−	0.799411i
$276$	−0.0808427	−	0.536927i	−0.00486616	−	0.0323192i
$277$	0.467945	−	2.95449i	0.0281161	−	0.177518i	−0.969634	−	0.244561i	$-0.921356\pi$
$277$	0.467945	−	2.95449i	0.0281161	−	0.177518i	0.997750	+	0.0670425i	$0.0213563\pi$
$278$	0.00622022	+	0.0402674i	0.000373064	+	0.00241508i
$279$	4.41927	+	6.08260i	0.264574	+	0.364156i
$280$	8.13226	+	23.7567i	0.485996	+	1.41974i
$281$	0.578540	+	1.13545i	0.0345128	+	0.0677352i	0.907619	−	0.419795i	$-0.137898\pi$
$281$	0.578540	+	1.13545i	0.0345128	+	0.0677352i	−0.873106	+	0.487530i	$0.837898\pi$
$282$	6.99292	−	13.5958i	0.416423	−	0.809618i
$283$	9.54435	−	1.51168i	0.567352	−	0.0898598i	0.133833	−	0.991004i	$-0.457271\pi$
$283$	9.54435	−	1.51168i	0.567352	−	0.0898598i	0.433520	+	0.901144i	$0.357271\pi$
$284$	15.0303	−	28.9499i	0.891884	−	1.71786i
$285$	0.966374	+	35.6418i	0.0572430	+	2.11124i
$286$	−2.29167	+	3.12902i	−0.135509	+	0.185023i
$287$	25.4188	−	0.400928i	1.50043	−	0.0236661i
$288$	−3.03623	−	3.15443i	−0.178912	−	0.185877i
$289$	2.23806	−	6.88804i	0.131651	−	0.405179i
$290$	−10.7817	−	19.9950i	−0.633121	−	1.17415i
$291$	−0.257458	+	0.354360i	−0.0150924	+	0.0207729i
$292$	1.64598	−	0.822897i	0.0963236	−	0.0481564i
$293$	5.24741	−	16.1499i	0.306557	−	0.943486i	−0.672534	−	0.740066i	$-0.734794\pi$
$293$	5.24741	−	16.1499i	0.306557	−	0.943486i	0.979092	−	0.203420i	$-0.0652057\pi$
$294$	21.4923	−	10.8477i	1.25346	−	0.632652i
$295$	27.6069	−	5.14311i	1.60733	−	0.299443i
$296$	−5.84146	−	1.97226i	−0.339528	−	0.114635i
$297$	−2.68605	+	16.9590i	−0.155860	+	0.984063i
$298$	−0.115042	+	30.1297i	−0.00666423	+	1.74537i
$299$	−0.0151001	−	0.0953383i	−0.000873262	−	0.00551356i
$300$	15.1678	−	12.1381i	0.875716	−	0.700795i
$301$	−8.60011	+	8.60011i	−0.495702	+	0.495702i
$302$	−5.12144	−	15.9694i	−0.294706	−	0.918934i
$303$	25.2028	+	12.8414i	1.44786	+	0.737722i
$304$	−14.4568	−	29.4776i	−0.829155	−	1.69065i
$305$	5.56304	+	5.26934i	0.318539	+	0.301721i
$306$	1.54059	+	3.05233i	0.0880697	+	0.174490i
$307$	−23.6416	−	12.0460i	−1.34930	−	0.687502i	−0.378098	−	0.925765i	$-0.623422\pi$
$307$	−23.6416	−	12.0460i	−1.34930	−	0.687502i	−0.971201	+	0.238263i	$0.923422\pi$
$308$	5.16975	−	31.1015i	0.294574	−	1.77217i
$309$	4.64144	−	9.10934i	0.264042	−	0.518212i
$310$	17.4725	−	25.2658i	0.992370	−	1.43500i
$311$	5.68082	+	0.899754i	0.322130	+	0.0510204i	0.315405	−	0.948957i	$-0.397860\pi$
$311$	5.68082	+	0.899754i	0.322130	+	0.0510204i	0.00672452	+	0.999977i	$0.497860\pi$
$312$	−2.65272	−	2.71420i	−0.150181	−	0.153661i
$313$	6.65971	+	4.83856i	0.376429	+	0.273492i	0.759872	−	0.650073i	$-0.225262\pi$
$313$	6.65971	+	4.83856i	0.376429	+	0.273492i	−0.383443	+	0.923565i	$0.625262\pi$
$314$	1.64711	+	10.6628i	0.0929520	+	0.601737i
$315$	−4.98853	−	4.72516i	−0.281072	−	0.266233i
$316$	−6.21572	−	12.4328i	−0.349662	−	0.699402i
$317$	−12.7651	+	9.27438i	−0.716959	+	0.520901i	−0.885411	−	0.464809i	$-0.846123\pi$
$317$	−12.7651	+	9.27438i	−0.716959	+	0.520901i	0.168452	+	0.985710i	$0.446123\pi$
$318$	−16.9949	+	16.8656i	−0.953028	+	0.945778i
$319$			28.5230i			1.59698i
$320$	−8.05425	+	15.9728i	−0.450247	+	0.892904i
$321$	−15.6167	+	30.6494i	−0.871637	+	1.71068i
$322$	0.458789	+	0.636566i	0.0255673	+	0.0354745i
$323$	4.01085	+	25.3235i	0.223169	+	1.40904i
$324$	−20.3449	−	6.78267i	−1.13027	−	0.376815i
$325$	2.67987	−	2.17835i	0.148652	−	0.120833i
$326$	0.435426	−	0.313822i	0.0241160	−	0.0173810i
$327$	−7.58171	−	7.58171i	−0.419269	−	0.419269i
$328$	12.8614	+	12.7508i	0.710153	+	0.704048i
$329$			22.0941i			1.21809i
$330$	−23.9965	+	4.37576i	−1.32096	+	0.240878i
$331$	−5.00712	+	5.00712i	−0.275216	+	0.275216i	−0.831196	−	0.555980i	$-0.812343\pi$
$331$	−5.00712	+	5.00712i	−0.275216	+	0.275216i	0.555980	+	0.831196i	$0.312343\pi$
$332$	−7.19373	+	3.59646i	−0.394807	+	0.197381i
$333$	1.66634	−	0.263923i	0.0913150	−	0.0144629i
$334$	3.13237	−	19.2998i	0.171396	−	1.05604i
$335$	0.267243	−	2.04456i	0.0146011	−	0.111706i
$336$	29.1926	+	9.98066i	1.59258	+	0.544490i
$337$	7.83011	+	7.83011i	0.426533	+	0.426533i	0.887446	−	0.460912i	$-0.152478\pi$
$337$	7.83011	+	7.83011i	0.426533	+	0.426533i	−0.460912	+	0.887446i	$0.652478\pi$
$338$	12.4750	+	12.5706i	0.678551	+	0.683753i
$339$	−11.4147	−	1.80791i	−0.619962	−	0.0981924i
$340$	9.68381	−	10.0684i	0.525178	−	0.546038i
$341$	−34.3667	+	17.5107i	−1.86106	+	0.948258i
$342$	7.24809	+	5.30845i	0.391932	+	0.287048i
$343$	−4.11397	+	5.66239i	−0.222133	+	0.305740i
$344$	−8.66398	−	0.0992474i	−0.467131	−	0.00535106i
$345$	0.343383	−	0.500620i	0.0184871	−	0.0269524i
$346$	−10.7013	+	7.71272i	−0.575308	+	0.414639i
$347$	5.50684	+	16.9483i	0.295623	+	0.909833i	0.983012	+	0.183543i	$0.0587568\pi$
$347$	5.50684	+	16.9483i	0.295623	+	0.909833i	−0.687389	+	0.726289i	$0.741243\pi$
$348$	−27.5331	−	4.57661i	−1.47593	−	0.245332i
$349$	6.10125	+	18.7777i	0.326592	+	1.00515i	0.970717	+	0.240227i	$0.0772220\pi$
$349$	6.10125	+	18.7777i	0.326592	+	1.00515i	−0.644124	+	0.764921i	$0.722778\pi$
$350$	−11.4690	+	25.6243i	−0.613046	+	1.36968i
$351$	−2.84073	−	0.923010i	−0.151627	−	0.0492666i
$352$	18.4199	−	12.8529i	0.981786	−	0.685060i
$353$	−8.78012	+	17.2319i	−0.467318	+	0.917164i	0.530275	+	0.847826i	$0.322089\pi$
$353$	−8.78012	+	17.2319i	−0.467318	+	0.917164i	−0.997593	+	0.0693381i	$0.977911\pi$
$354$	15.7813	−	30.6823i	0.838764	−	1.63074i
$355$	34.3662	−	12.2056i	1.82397	−	0.647804i
$356$	−8.31981	−	8.44786i	−0.440949	−	0.447735i
$357$	−19.4914	−	14.1614i	−1.03160	−	0.749499i
$358$	−9.35934	−	0.0357362i	−0.494656	−	0.00188872i
$359$	−4.89342	+	3.55528i	−0.258265	+	0.187640i	−0.709382	−	0.704824i	$-0.751026\pi$
$359$	−4.89342	+	3.55528i	−0.258265	+	0.187640i	0.451117	+	0.892465i	$0.351026\pi$
$360$	−0.0766149	−	4.89444i	−0.00403796	−	0.257960i
$361$	28.4314	+	39.1325i	1.49639	+	2.05960i
$362$	−1.05847	+	3.21580i	−0.0556319	+	0.169019i
$363$	8.80437	+	2.86071i	0.462110	+	0.150149i
$364$	5.20304	+	1.73461i	0.272713	+	0.0909181i
$365$	1.97324	+	0.582512i	0.103284	+	0.0304901i
$366$	9.30416	−	1.43724i	0.486336	−	0.0751257i
$367$	−13.9190	−	27.3176i	−0.726566	−	1.42597i	−0.897650	−	0.440710i	$-0.854727\pi$
$367$	−13.9190	−	27.3176i	−0.726566	−	1.42597i	0.171083	−	0.985257i	$-0.445273\pi$
$368$	−0.0958691	+	0.550720i	−0.00499752	+	0.0287082i
$369$	−4.73686	−	1.45692i	−0.246591	−	0.0758441i
$370$	−3.27160	−	6.06731i	−0.170082	−	0.315424i
$371$	10.6922	−	32.9073i	0.555113	−	1.70846i
$372$	−11.3887	−	35.9836i	−0.590478	−	1.86566i
$373$	0.129160	+	0.815486i	0.00668767	+	0.0422243i	0.990807	−	0.135287i	$-0.0431955\pi$
$373$	0.129160	+	0.815486i	0.00668767	+	0.0422243i	−0.984119	+	0.177511i	$0.943196\pi$
$374$	−16.7023	+	5.35650i	−0.863657	+	0.276978i
$375$	21.6574	+	1.64389i	1.11838	+	0.0848902i
$376$	−11.2566	+	11.0016i	−0.580514	+	0.567365i
$377$	−4.90070	−	0.776194i	−0.252399	−	0.0399760i
$378$	23.9962	−	3.70676i	1.23423	−	0.190655i
$379$	−14.5753	+	10.5896i	−0.748682	+	0.543949i	−0.895418	−	0.445226i	$-0.853123\pi$
$379$	−14.5753	+	10.5896i	−0.748682	+	0.543949i	0.146736	+	0.989176i	$0.453123\pi$
$380$	10.6613	−	35.1247i	0.546912	−	1.80186i
$381$	−1.76532	−	11.1458i	−0.0904398	−	0.571015i
$382$	−16.5561	−	22.9714i	−0.847082	−	1.17532i
$383$		−	11.4803i		−	0.586615i	−0.956018	−	0.293307i	$-0.905244\pi$
$383$		−	11.4803i		−	0.586615i	0.956018	−	0.293307i	$-0.0947560\pi$
$384$	9.45126	+	19.8429i	0.482308	+	1.01261i
$385$	27.9455	−	21.4845i	1.42423	−	1.09495i
$386$	8.68013	−	8.61410i	0.441807	−	0.438446i
$387$	2.11255	−	1.07640i	0.107387	−	0.0547165i
$388$	0.366831	−	0.262262i	0.0186230	−	0.0133143i
$389$	−8.45433	−	26.0198i	−0.428652	−	1.31925i	−0.899454	−	0.437016i	$-0.856035\pi$
$389$	−8.45433	−	26.0198i	−0.428652	−	1.31925i	0.470802	−	0.882239i	$-0.343965\pi$
$390$	−0.0988095	−	4.24205i	−0.00500341	−	0.214805i
$391$	0.198184	−	0.388958i	0.0100226	−	0.0196705i
$392$	−24.5228	+	3.59660i	−1.23859	+	0.181656i
$393$	13.0940	−	9.51335i	0.660505	−	0.479885i
$394$	24.6781	+	8.12271i	1.24327	+	0.409216i
$395$	4.39999	−	14.9048i	0.221387	−	0.749943i
$396$	−2.83206	+	5.45485i	−0.142316	+	0.274116i
$397$	6.86748	−	21.1359i	0.344669	−	1.06078i	−0.617092	−	0.786891i	$-0.711689\pi$
$397$	6.86748	−	21.1359i	0.344669	−	1.06078i	0.961761	−	0.273891i	$-0.0883108\pi$
$398$	−4.50561	−	14.0491i	−0.225846	−	0.704220i
$399$	−62.5276	−	9.90340i	−3.13030	−	0.495790i
$400$	−18.7661	+	6.91617i	−0.938305	+	0.345808i
$401$		−	14.6549i		−	0.731829i	−0.930648	−	0.365915i	$-0.880756\pi$
$401$		−	14.6549i		−	0.731829i	0.930648	−	0.365915i	$-0.119244\pi$
$402$	−1.78455	−	1.79822i	−0.0890050	−	0.0896873i
$403$	−2.07339	−	6.38125i	−0.103283	−	0.317873i
$404$	−20.4334	−	20.7479i	−1.01660	−	1.03225i
$405$	−11.4604	−	21.0609i	−0.569472	−	1.04652i
$406$	38.4077	−	12.3175i	1.90614	−	0.611306i
$407$			8.65505i			0.429015i
$408$	−2.49065	−	16.9821i	−0.123306	−	0.840741i
$409$			26.8239i			1.32636i	0.748462	+	0.663178i	$0.230793\pi$
$409$			26.8239i			1.32636i	−0.748462	+	0.663178i	$0.769207\pi$
$410$	0.790708	+	20.2330i	0.0390503	+	0.999237i
$411$		−	33.5252i		−	1.65368i
$412$	−7.49917	+	7.38550i	−0.369457	+	0.363857i
$413$			49.8608i			2.45349i
$414$	−0.0467132	−	0.145659i	−0.00229583	−	0.00715873i
$415$	−8.62404	−	2.54586i	−0.423337	−	0.124971i
$416$	1.70706	+	3.51460i	0.0836957	+	0.172317i
$417$	0.0172958	+	0.0532310i	0.000846980	+	0.00260674i
$418$	−32.7143	+	32.4655i	−1.60011	+	1.58794i
$419$		−	1.28591i		−	0.0628209i	−0.999507	−	0.0314104i	$-0.990000\pi$
$419$		−	1.28591i		−	0.0628209i	0.999507	−	0.0314104i	$-0.00999990\pi$
$420$	16.2549	+	30.4229i	0.793159	+	1.48448i
$421$	−4.05236	−	0.641831i	−0.197500	−	0.0312809i	0.0569007	−	0.998380i	$-0.481878\pi$
$421$	−4.05236	−	0.641831i	−0.197500	−	0.0312809i	−0.254401	+	0.967099i	$0.581878\pi$
$422$	32.0812	−	10.2886i	1.56169	−	0.500840i
$423$	1.33097	−	4.09629i	0.0647138	−	0.199169i
$424$	22.0898	−	10.9385i	1.07278	−	0.531218i
$425$	15.5955	−	0.846322i	0.756495	−	0.0410526i
$426$	14.0091	−	42.5619i	0.678743	−	2.06213i
$427$	−11.0067	+	7.99687i	−0.532654	+	0.386996i
$428$	25.2318	−	24.8494i	1.21963	−	1.20114i
$429$	−2.41876	+	4.74708i	−0.116779	+	0.229191i
$430$	−7.00758	−	6.68856i	−0.337936	−	0.322551i
$431$	7.66730	+	23.5975i	0.369321	+	1.13665i	0.947231	+	0.320552i	$0.103868\pi$
$431$	7.66730	+	23.5975i	0.369321	+	1.13665i	−0.577910	+	0.816100i	$0.696132\pi$
$432$	13.8373	+	10.3799i	0.665746	+	0.499403i
$433$	−14.7425	+	7.51169i	−0.708480	+	0.360989i	−0.770808	−	0.637067i	$-0.780147\pi$
$433$	−14.7425	+	7.51169i	−0.708480	+	0.360989i	0.0623284	+	0.998056i	$0.480147\pi$
$434$	38.4201	+	38.7146i	1.84422	+	1.85836i
$435$	−19.0195	−	24.7392i	−0.911916	−	1.18615i
$436$	4.93615	+	9.87342i	0.236399	+	0.472851i
$437$		−	1.14706i		−	0.0548715i
$438$	2.05074	−	1.47802i	0.0979884	−	0.0706226i
$439$	−1.24859	−	7.88329i	−0.0595919	−	0.376249i	−0.999403	−	0.0345537i	$-0.988999\pi$
$439$	−1.24859	−	7.88329i	−0.0595919	−	0.376249i	0.939811	−	0.341695i	$-0.111001\pi$
$440$	24.8613	+	3.53970i	1.18522	+	0.168749i
$441$	5.48695	−	3.98650i	0.261283	−	0.189833i
$442$	−0.465811	−	3.01549i	−0.0221564	−	0.143432i
$443$	1.14061	+	0.180655i	0.0541920	+	0.00858317i	0.183472	−	0.983025i	$-0.441266\pi$
$443$	1.14061	+	0.180655i	0.0541920	+	0.00858317i	−0.129280	+	0.991608i	$0.541266\pi$
$444$	−8.35467	−	1.38873i	−0.396495	−	0.0659062i
$445$	−0.359295	−	13.2515i	−0.0170322	−	0.628182i
$446$	−2.68367	−	8.36808i	−0.127076	−	0.396240i
$447$	6.47462	+	40.8792i	0.306239	+	1.93352i
$448$	−25.2616	−	19.2530i	−1.19350	−	0.909617i
$449$	−9.23950	+	28.4363i	−0.436039	+	1.34199i	0.455979	+	0.889990i	$0.349289\pi$
$449$	−9.23950	+	28.4363i	−0.436039	+	1.34199i	−0.892018	+	0.451999i	$0.850711\pi$
$450$	3.67001	−	4.05990i	0.173006	−	0.191385i
$451$	11.1835	−	22.8321i	0.526613	−	1.07512i
$452$	10.5597	+	5.48240i	0.496686	+	0.257870i
$453$	−10.4587	−	20.5263i	−0.491392	−	0.964412i
$454$	2.61549	+	16.9318i	0.122751	+	0.794647i
$455$	2.93090	+	5.38613i	0.137403	+	0.252506i
$456$	−26.0896	−	36.7881i	−1.22176	−	1.72276i
$457$	−31.4526	−	10.2196i	−1.47129	−	0.478052i	−0.539793	−	0.841798i	$-0.681498\pi$
$457$	−31.4526	−	10.2196i	−1.47129	−	0.478052i	−0.931498	+	0.363746i	$0.881498\pi$
$458$	14.3236	+	4.71455i	0.669296	+	0.220296i
$459$	−7.93994	−	10.9284i	−0.370605	−	0.510094i
$460$	−0.498374	+	0.377130i	−0.0232368	+	0.0175838i
$461$	13.3887	−	9.72749i	0.623576	−	0.453054i	−0.230593	−	0.973050i	$-0.574067\pi$
$461$	13.3887	−	9.72749i	0.623576	−	0.453054i	0.854169	+	0.519996i	$0.174067\pi$
$462$	0.165365	−	43.3092i	0.00769349	−	2.01493i
$463$	−1.77187	−	1.28734i	−0.0823456	−	0.0598275i	0.545851	−	0.837882i	$-0.316207\pi$
$463$	−1.77187	−	1.28734i	−0.0823456	−	0.0598275i	−0.628196	+	0.778055i	$0.716207\pi$
$464$	25.4004	+	13.4347i	1.17918	+	0.623689i
$465$	18.1313	−	38.1039i	0.840819	−	1.76703i
$466$	−10.8247	−	5.56760i	−0.501443	−	0.257914i
$467$	5.07079	−	9.95198i	0.234648	−	0.460523i	−0.743415	−	0.668830i	$-0.766795\pi$
$467$	5.07079	−	9.95198i	0.234648	−	0.460523i	0.978063	+	0.208307i	$0.0667954\pi$
$468$	−0.860160	−	0.635035i	−0.0397609	−	0.0293545i
$469$	3.48190	+	1.13134i	0.160779	+	0.0522404i
$470$	−17.5930	+	0.409792i	−0.811506	+	0.0189023i
$471$	4.57993	+	14.0956i	0.211032	+	0.649490i
$472$	−25.4032	+	24.8278i	−1.16928	+	1.14279i
$473$	3.75868	+	11.5680i	0.172824	+	0.531898i
$474$	−11.1642	−	15.4902i	−0.512788	−	0.711490i
$475$	35.5034	−	20.5857i	1.62901	−	0.944538i
$476$	14.4256	+	20.1774i	0.661196	+	0.924829i
$477$	−3.96472	+	5.45697i	−0.181532	+	0.249858i
$478$	−14.4955	+	19.7920i	−0.663008	+	0.905264i
$479$	−6.44214	+	3.28243i	−0.294349	+	0.149978i	−0.594929	−	0.803778i	$-0.702820\pi$
$479$	−6.44214	+	3.28243i	−0.294349	+	0.149978i	0.300580	+	0.953757i	$0.402820\pi$
$480$	−7.40592	+	23.4305i	−0.338033	+	1.06945i
$481$	−1.48707	−	0.235529i	−0.0678047	−	0.0107392i
$482$	−6.46425	+	6.41507i	−0.294439	+	0.292199i
$483$	0.762176	+	0.762176i	0.0346802	+	0.0346802i
$484$	−7.66746	−	5.66069i	−0.348521	−	0.257304i
$485$	0.499912	+	0.0653434i	0.0226999	+	0.00296709i
$486$	−10.9690	−	1.78027i	−0.497563	−	0.0807549i
$487$	−8.81749	+	1.39655i	−0.399559	+	0.0632839i	−0.352980	−	0.935631i	$-0.614832\pi$
$487$	−8.81749	+	1.39655i	−0.399559	+	0.0632839i	−0.0465784	+	0.998915i	$0.514832\pi$
$488$	−9.55501	−	1.62577i	−0.432535	−	0.0735951i
$489$	0.521346	−	0.521346i	0.0235761	−	0.0235761i
$490$	−22.7916	−	15.7615i	−1.02962	−	0.712030i
$491$			4.41751i			0.199359i	0.995020	+	0.0996797i	$0.0317818\pi$
$491$			4.41751i			0.199359i	−0.995020	+	0.0996797i	$0.968218\pi$
$492$	20.2453	+	14.4589i	0.912728	+	0.651858i
$493$	−15.8671	−	15.8671i	−0.714619	−	0.714619i
$494$	−4.68782	−	6.50431i	−0.210915	−	0.292643i
$495$	−6.47540	+	2.29982i	−0.291047	+	0.103369i
$496$	−0.593431	+	38.8521i	−0.0266458	+	1.74451i
$497$	10.1296	+	63.9559i	0.454375	+	2.86881i
$498$	−8.96276	+	6.45968i	−0.401631	+	0.289465i
$499$	−5.33681	+	10.4741i	−0.238908	+	0.468884i	−0.979064	−	0.203551i	$-0.934752\pi$
$499$	−5.33681	+	10.4741i	−0.238908	+	0.468884i	0.740156	+	0.672435i	$0.234752\pi$
$500$	−20.6168	−	8.65727i	−0.922010	−	0.387165i
$501$		−	26.8586i		−	1.19995i
$502$	11.5239	+	11.6123i	0.514337	+	0.518280i
$503$	29.9014	−	21.7247i	1.33324	−	0.968655i	0.333576	−	0.942723i	$-0.391745\pi$
$503$	29.9014	−	21.7247i	1.33324	−	0.968655i	0.999664	−	0.0259317i	$-0.00825526\pi$
$504$	8.56824	+	1.45787i	0.381660	+	0.0649388i
$505$	−0.882427	−	32.5457i	−0.0392675	−	1.44826i
$506$	0.775531	−	0.119798i	0.0344765	−	0.00532569i
$507$	19.6817	+	14.2996i	0.874095	+	0.635067i
$508$	−1.90498	+	11.4605i	−0.0845199	+	0.508476i
$509$	−29.9946	−	4.75068i	−1.32949	−	0.210570i	−0.549042	−	0.835795i	$-0.685007\pi$
$509$	−29.9946	−	4.75068i	−1.32949	−	0.210570i	−0.780445	+	0.625225i	$0.785007\pi$
$510$	10.9149	−	15.7833i	0.483318	−	0.698894i
$511$	−1.65846	+	3.25490i	−0.0733658	+	0.143988i
$512$	−2.76977	−	22.4573i	−0.122408	−	0.992480i
$513$	−31.6261	−	16.1143i	−1.39632	−	0.711463i
$514$	−35.6851	+	18.0112i	−1.57400	+	0.794439i
$515$	−11.7634	+	0.318946i	−0.518356	+	0.0140545i
$516$	−11.7696	+	1.77210i	−0.518129	+	0.0780125i
$517$	19.6875	+	10.0313i	0.865856	+	0.441176i
$518$	11.6545	−	3.73763i	0.512068	−	0.164222i
$519$	−12.8130	+	12.8130i	−0.562427	+	0.562427i
$520$	−1.28472	+	4.17523i	−0.0563389	+	0.183096i
$521$	−3.14372	−	19.8486i	−0.137729	−	0.869585i	−0.955704	−	0.294331i	$-0.904903\pi$
$521$	−3.14372	−	19.8486i	−0.137729	−	0.869585i	0.817975	−	0.575254i	$-0.195097\pi$
$522$	−7.86288	−	0.0300224i	−0.344149	−	0.00131404i
$523$	3.64783	−	23.0315i	0.159508	−	1.00710i	−0.769933	−	0.638125i	$-0.779710\pi$
$523$	3.64783	−	23.0315i	0.159508	−	1.00710i	0.929441	−	0.368971i	$-0.120290\pi$
$524$	−15.8860	+	5.02789i	−0.693984	+	0.219645i
$525$	−9.91214	+	37.2689i	−0.432601	+	1.62655i
$526$	16.3302	+	32.3546i	0.712030	+	1.41073i
$527$	9.37684	−	28.8590i	0.408462	−	1.25712i
$528$	22.1477	−	21.4813i	0.963855	−	0.934854i
$529$	13.5076	−	18.5916i	0.587286	−	0.808330i
$530$	26.4016	+	7.90363i	1.14681	+	0.343312i
$531$	3.00365	−	9.24429i	0.130347	−	0.401168i
$532$	57.8439	+	30.0315i	2.50785	+	1.30203i
$533$	3.61858	+	2.54284i	0.156738	+	0.110143i
$534$	−13.1402	−	9.62380i	−0.568633	−	0.416463i
$535$	39.5792	−	1.07313i	1.71116	−	0.0463955i
$536$	1.15739	+	2.33732i	0.0499917	+	0.100957i
$537$	−12.6985	+	2.01125i	−0.547981	+	0.0867916i
$538$	14.5123	+	7.46433i	0.625670	+	0.321810i
$539$	15.7959	+	31.0013i	0.680379	+	1.33532i
$540$	3.39668	+	19.0389i	0.146170	+	0.819302i
$541$	−25.4499	−	35.0287i	−1.09417	−	1.50600i	−0.842888	−	0.538089i	$-0.819146\pi$
$541$	−25.4499	−	35.0287i	−1.09417	−	1.50600i	−0.251287	−	0.967913i	$-0.580854\pi$
$542$	15.7168	−	2.42782i	0.675096	−	0.104284i
$543$	−0.727515	+	4.59335i	−0.0312206	+	0.197119i
$544$	−3.09691	+	17.3968i	−0.132779	+	0.745882i
$545$	−3.49420	+	11.8365i	−0.149675	+	0.507020i
$546$	7.43671	+	1.20698i	0.318262	+	0.0516541i
$547$	−0.0721726			−0.00308588			−0.00154294	−	0.999999i	$-0.500491\pi$
$547$	−0.0721726			−0.00308588			−0.00154294	+	0.999999i	$0.500491\pi$
$548$	−10.9159	+	32.7428i	−0.466305	+	1.39871i
$549$	2.52241	−	0.819581i	0.107654	−	0.0349789i
$550$	17.6260	+	21.8539i	0.751573	+	0.931853i
$551$	−56.0770	−	18.2205i	−2.38896	−	0.776220i
$552$	−0.00879571	+	0.767837i	−0.000374370	+	0.0326813i
$553$	24.5858	+	12.5271i	1.04550	+	0.532706i
$554$	−1.32261	+	4.01829i	−0.0561921	+	0.170721i
$555$	−5.77130	−	7.50689i	−0.244978	−	0.318650i
$556$	0.000440024	−	0.0576204i	1.86612e−5	−	0.00244365i
$557$	26.6525	+	36.6840i	1.12930	+	1.55435i	0.789386	+	0.613898i	$0.210399\pi$
$557$	26.6525	+	36.6840i	1.12930	+	1.55435i	0.339918	+	0.940455i	$0.389601\pi$
$558$	−4.79097	−	9.49223i	−0.202818	−	0.401838i
$559$	−2.08985	+	0.331000i	−0.0883913	+	0.0139998i
$560$	−5.96981	−	35.0056i	−0.252270	−	1.47926i
$561$	−21.4685	+	10.9387i	−0.906399	+	0.461833i
$562$	−0.550360	−	1.71610i	−0.0232156	−	0.0723895i
$563$	−0.498120	+	0.361905i	−0.0209932	+	0.0152525i	−0.598232	−	0.801323i	$-0.704130\pi$
$563$	−0.498120	+	0.361905i	−0.0209932	+	0.0152525i	0.577239	+	0.816575i	$0.304130\pi$
$564$	−12.8421	+	17.3947i	−0.540749	+	0.732448i
$565$	4.45206	+	12.5353i	0.187300	+	0.527364i
$566$	−13.6659	−	0.0521797i	−0.574420	−	0.00219328i
$567$	40.4889	−	13.1556i	1.70037	−	0.552485i
$568$	−27.5405	+	37.0073i	−1.15557	+	1.55279i
$569$	9.87258	+	7.17285i	0.413880	+	0.300701i	0.775171	−	0.631752i	$-0.217664\pi$
$569$	9.87258	+	7.17285i	0.413880	+	0.300701i	−0.361291	+	0.932453i	$0.617664\pi$
$570$	6.72612	−	49.9730i	0.281726	−	2.09314i
$571$	12.8260	−	12.8260i	0.536753	−	0.536753i	−0.385821	−	0.922574i	$-0.626082\pi$
$571$	12.8260	−	12.8260i	0.536753	−	0.536753i	0.922574	+	0.385821i	$0.126082\pi$
$572$	3.90798	−	3.84874i	0.163401	−	0.160924i
$573$	−27.5042	−	27.5042i	−1.14901	−	1.14901i
$574$	−35.5742	−	5.19931i	−1.48484	−	0.217015i
$575$	−0.695059	−	0.0717511i	−0.0289860	−	0.00299223i
$576$	3.52374	+	5.09132i	0.146822	+	0.212138i
$577$	2.49024			0.103670			0.0518351	−	0.998656i	$-0.483493\pi$
$577$	2.49024			0.103670			0.0518351	+	0.998656i	$0.483493\pi$
$578$	−4.68479	+	9.10827i	−0.194862	+	0.378854i
$579$	9.87399	−	13.5904i	0.410349	−	0.564797i
$580$	10.5205	+	30.3547i	0.436840	+	1.26041i
$581$	7.24827	−	14.2255i	0.300709	−	0.590174i
$582$	0.439682	−	0.436337i	0.0182254	−	0.0180868i
$583$	−24.4683	−	24.4683i	−1.01337	−	1.01337i
$584$	−2.48414	+	0.775802i	−0.102794	+	0.0321029i
$585$	−0.218930	−	1.17516i	−0.00905163	−	0.0485869i
$586$	−10.9841	+	21.3555i	−0.453748	+	0.882188i
$587$	−33.1122	−	10.7588i	−1.36668	−	0.444063i	−0.468416	−	0.883508i	$-0.655175\pi$
$587$	−33.1122	−	10.7588i	−1.36668	−	0.444063i	−0.898269	+	0.439445i	$0.855175\pi$
$588$	−32.4599	+	10.2735i	−1.33862	+	0.423671i
$589$	−12.4730	−	78.7517i	−0.513943	−	3.24491i
$590$	−39.7030	+	0.924796i	−1.63455	+	0.0380732i
$591$	35.2494	+	5.58296i	1.44997	+	0.229652i
$592$	7.70753	+	4.07663i	0.316778	+	0.167549i
$593$	3.21950	+	9.90861i	0.132209	+	0.406898i	0.995145	−	0.0984148i	$-0.0313772\pi$
$593$	3.21950	+	9.90861i	0.132209	+	0.406898i	−0.862936	+	0.505313i	$0.831377\pi$
$594$	7.59188	−	23.0654i	0.311499	−	0.946383i
$595$	−3.59419	+	27.4975i	−0.147347	+	1.12729i
$596$	6.98688	−	42.0334i	0.286194	−	1.72175i
$597$	−9.20109	−	18.0582i	−0.376576	−	0.739071i
$598$	−0.000521222		0.136508i	−2.13144e−5		0.00558224i
$599$	−1.20763	−	3.71670i	−0.0493424	−	0.151860i	0.923349	−	0.383961i	$-0.125440\pi$
$599$	−1.20763	−	3.71670i	−0.0493424	−	0.151860i	−0.972692	+	0.232100i	$0.925440\pi$
$600$	−23.9236	+	13.5077i	−0.976675	+	0.551450i
$601$	−3.29591	+	3.29591i	−0.134443	+	0.134443i	−0.771126	−	0.636683i	$-0.780306\pi$
$601$	−3.29591	+	3.29591i	−0.134443	+	0.134443i	0.636683	+	0.771126i	$0.280306\pi$
$602$	13.9538	−	10.0568i	0.568713	−	0.409886i
$603$	−0.577400	−	0.419505i	−0.0235135	−	0.0170836i
$604$	3.53118	+	23.4527i	0.143682	+	0.954278i
$605$	−1.95154	−	10.4754i	−0.0793413	−	0.425884i
$606$	−32.2723	−	23.6360i	−1.31097	−	0.960147i
$607$	−5.38929	+	34.0267i	−0.218745	+	1.38110i	0.596793	+	0.802395i	$0.296441\pi$
$607$	−5.38929	+	34.0267i	−0.218745	+	1.38110i	−0.815538	+	0.578704i	$0.803559\pi$
$608$	13.5024	+	44.4245i	0.547595	+	1.80165i
$609$	49.3676	−	25.1540i	2.00048	−	1.01929i
$610$	−6.57188	−	8.61610i	−0.266087	−	0.348856i
$611$	−2.25929	+	3.10964i	−0.0914010	+	0.125803i
$612$	−1.45904	−	4.60994i	−0.0589780	−	0.186346i
$613$	7.45572	+	14.6327i	0.301134	+	0.591009i	0.991144	−	0.132791i	$-0.0423940\pi$
$613$	7.45572	+	14.6327i	0.301134	+	0.591009i	−0.690010	+	0.723800i	$0.742394\pi$
$614$	30.2733	+	22.1719i	1.22173	+	0.894786i
$615$	5.52481	+	27.2606i	0.222782	+	1.09925i
$616$	−14.2632	+	42.2447i	−0.574679	+	1.70209i
$617$	14.1860	−	7.22811i	0.571106	−	0.290993i	−0.144492	−	0.989506i	$-0.546155\pi$
$617$	14.1860	−	7.22811i	0.571106	−	0.290993i	0.715597	+	0.698513i	$0.246155\pi$
$618$	−8.54305	+	11.6646i	−0.343652	+	0.469218i
$619$	12.5365	+	9.10827i	0.503883	+	0.366092i	0.810498	−	0.585741i	$-0.199197\pi$
$619$	12.5365	+	9.10827i	0.503883	+	0.366092i	−0.306615	+	0.951833i	$0.599197\pi$
$620$	−30.1150	+	31.3111i	−1.20945	+	1.25748i
$621$	0.274366	+	0.538473i	0.0110099	+	0.0216082i
$622$	−7.72628	−	2.54308i	−0.309796	−	0.101968i
$623$	23.2476	+	3.68206i	0.931395	+	0.147519i
$624$	3.08812	+	4.38989i	0.123624	+	0.175736i
$625$	−10.2530	−	22.8008i	−0.410121	−	0.912031i
$626$	−8.20036	−	8.26322i	−0.327752	−	0.330265i
$627$	−37.2138	+	51.2204i	−1.48618	+	2.04555i
$628$	0.116518	−	15.2579i	0.00464959	−	0.608856i
$629$	−4.81473	−	4.81473i	−0.191976	−	0.191976i
$630$	5.89318	+	7.72629i	0.234790	+	0.307823i
$631$	−7.87080	+	2.55738i	−0.313332	+	0.101808i	−0.461461	−	0.887160i	$-0.652675\pi$
$631$	−7.87080	+	2.55738i	−0.313332	+	0.101808i	0.148130	+	0.988968i	$0.452675\pi$
$632$	5.85999	+	18.7639i	0.233098	+	0.746386i
$633$	41.2358	−	21.0107i	1.63898	−	0.835101i
$634$	19.9206	−	10.0544i	0.791149	−	0.399313i
$635$	−10.2975	+	7.91675i	−0.408645	+	0.314166i
$636$	27.5452	−	19.6931i	1.09224	−	0.780883i
$637$	−5.75636	+	1.87035i	−0.228075	+	0.0741061i
$638$	6.46227	−	39.8166i	0.255844	−	1.57635i
$639$	1.97470	−	12.4678i	0.0781179	−	0.493217i
$640$	14.8622	−	20.4723i	0.587478	−	0.809240i
$641$	−7.54825	+	1.19553i	−0.298138	+	0.0472204i	−0.303711	−	0.952764i	$-0.598226\pi$
$641$	−7.54825	+	1.19553i	−0.298138	+	0.0472204i	0.00557354	+	0.999984i	$0.498226\pi$
$642$	28.7441	−	39.2468i	1.13444	−	1.54895i
$643$	14.3394	−	44.1321i	0.565491	−	1.74040i	−0.100998	−	0.994887i	$-0.532204\pi$
$643$	14.3394	−	44.1321i	0.565491	−	1.74040i	0.666489	−	0.745515i	$-0.267796\pi$
$644$	−0.496223	−	0.992558i	−0.0195539	−	0.0391123i
$645$	−10.9738	−	7.52709i	−0.432091	−	0.296379i
$646$	0.138446	−	36.2590i	0.00544707	−	1.42659i
$647$	−21.2820	+	21.2820i	−0.836683	+	0.836683i	−0.988421	−	0.151738i	$-0.951513\pi$
$647$	−21.2820	+	21.2820i	−0.836683	+	0.836683i	0.151738	+	0.988421i	$0.451513\pi$
$648$	26.8638	+	14.0777i	1.05531	+	0.553023i
$649$	44.4297	+	22.6381i	1.74402	+	0.888622i
$650$	−4.23449	+	2.43371i	−0.166090	+	0.0954579i
$651$	60.6150	+	44.0394i	2.37569	+	1.72604i
$652$	−0.678933	+	0.339428i	−0.0265891	+	0.0132930i
$653$		−	6.58136i		−	0.257549i	−0.991674	−	0.128774i	$-0.958896\pi$
$653$		−	6.58136i		−	0.257549i	0.991674	−	0.128774i	$-0.0411043\pi$
$654$	8.86593	+	12.3014i	0.346685	+	0.481023i
$655$	−16.8221	−	8.00460i	−0.657294	−	0.312766i
$656$	−15.0650	−	20.7134i	−0.588189	−	0.808724i
$657$	0.503559	−	0.503559i	0.0196457	−	0.0196457i
$658$	5.00572	−	30.8422i	0.195143	−	1.20235i
$659$	−1.77429	−	1.77429i	−0.0691164	−	0.0691164i	0.671704	−	0.740820i	$-0.265563\pi$
$659$	−1.77429	−	1.77429i	−0.0691164	−	0.0691164i	−0.740820	+	0.671704i	$0.765563\pi$
$660$	34.4892	−	0.671605i	1.34249	−	0.0261422i
$661$	15.7892	−	21.7320i	0.614128	−	0.845275i	−0.382781	−	0.923839i	$-0.625034\pi$
$661$	15.7892	−	21.7320i	0.614128	−	0.845275i	0.996909	+	0.0785643i	$0.0250336\pi$
$662$	8.12410	−	5.85524i	0.315752	−	0.227570i
$663$	−1.29522	−	3.98629i	−0.0503024	−	0.154815i
$664$	10.8569	−	3.39063i	0.421329	−	0.131582i
$665$	24.3875	+	68.6659i	0.945708	+	2.66275i
$666$	−2.38592	−	0.00911003i	−0.0924526	−	0.000353006i
$667$	0.590086	+	0.812184i	0.0228482	+	0.0314479i
$668$	−8.74525	+	26.2318i	−0.338364	+	1.01494i
$669$	−5.48044	−	10.7560i	−0.211886	−	0.415850i
$670$	−0.836279	+	2.79355i	−0.0323083	+	0.107924i
$671$	2.12847	+	13.4386i	0.0821687	+	0.518793i
$672$	−38.4900	−	20.5464i	−1.48479	−	0.792596i
$673$	−41.1828	+	29.9211i	−1.58748	+	1.15337i	−0.680056	+	0.733160i	$0.738044\pi$
$673$	−41.1828	+	29.9211i	−1.58748	+	1.15337i	−0.907426	+	0.420212i	$0.861956\pi$
$674$	−9.15641	−	12.7044i	−0.352692	−	0.489357i
$675$	−11.7427	+	18.1557i	−0.451975	+	0.698813i
$676$	−14.5664	−	20.3743i	−0.560247	−	0.783629i
$677$	2.65753	−	5.21570i	0.102137	−	0.200455i	−0.834283	−	0.551337i	$-0.814118\pi$
$677$	2.65753	−	5.21570i	0.102137	−	0.200455i	0.936420	+	0.350881i	$0.114118\pi$
$678$	15.5247	+	5.10991i	0.596224	+	0.196245i
$679$	−0.276623	+	0.851357i	−0.0106158	+	0.0326721i
$680$	−15.7992	+	11.8610i	−0.605873	+	0.454849i
$681$	7.27259	+	22.3827i	0.278686	+	0.857709i
$682$	51.9414	−	16.6578i	1.98894	−	0.637859i
$683$			36.8792i			1.41114i	0.708639	+	0.705571i	$0.249309\pi$
$683$			36.8792i			1.41114i	−0.708639	+	0.705571i	$0.750691\pi$
$684$	−8.91525	−	9.05247i	−0.340883	−	0.346130i
$685$	−33.8951	+	18.4442i	−1.29506	+	0.704717i
$686$	7.02577	−	6.97232i	0.268245	−	0.266205i
$687$	20.4593	+	3.24044i	0.780572	+	0.123631i
$688$	12.0720	+	2.10149i	0.460240	+	0.0801184i
$689$	4.86990	−	3.53819i	0.185528	−	0.134794i
$690$	−0.592767	+	0.621040i	−0.0225663	+	0.0236426i
$691$	19.2704	−	9.81874i	0.733079	−	0.373522i	−0.0472571	−	0.998883i	$-0.515048\pi$
$691$	19.2704	−	9.81874i	0.733079	−	0.373522i	0.780336	+	0.625360i	$0.215048\pi$
$692$	16.6859	−	8.34202i	0.634304	−	0.317116i
$693$	−1.90866	−	12.0508i	−0.0725039	−	0.457771i
$694$	−3.84739	−	24.9066i	−0.146045	−	0.945441i
$695$	0.0443029	−	0.0467722i	0.00168050	−	0.00177417i
$696$	37.3978	+	12.6267i	1.41756	+	0.478613i
$697$	6.48001	+	18.9226i	0.245448	+	0.716746i
$698$	−4.26268	−	27.5950i	−0.161345	−	1.04449i
$699$	−15.9028	−	5.16713i	−0.601498	−	0.195439i
$700$	21.8157	−	33.1717i	0.824556	−	1.25377i
$701$	−21.9708	−	15.9627i	−0.829825	−	0.602903i	0.0896849	−	0.995970i	$-0.471414\pi$
$701$	−21.9708	−	15.9627i	−0.829825	−	0.602903i	−0.919510	+	0.393067i	$0.871414\pi$
$702$	3.75639	+	1.93208i	0.141776	+	0.0729216i
$703$	−17.0161	−	5.52885i	−0.641773	−	0.208525i
$704$	−28.6253	+	13.7686i	−1.07885	+	0.518925i
$705$	−23.7648	+	4.42733i	−0.895034	+	0.166743i
$706$	16.1607	−	22.0656i	0.608216	−	0.830451i
$707$	57.0960	+	9.04312i	2.14732	+	0.340101i
$708$	−28.9813	+	39.2554i	−1.08918	+	1.47531i
$709$	−43.5546	+	6.89838i	−1.63573	+	0.259074i	−0.905568	−	0.424201i	$-0.860555\pi$
$709$	−43.5546	+	6.89838i	−1.63573	+	0.259074i	−0.730161	+	0.683275i	$0.760555\pi$
$710$	−50.7387	+	9.25221i	−1.90419	+	0.347229i
$711$	−3.80362	−	3.80362i	−0.142647	−	0.142647i
$712$	9.70004	+	13.6777i	0.363524	+	0.512594i
$713$	−0.616319	+	1.20959i	−0.0230813	+	0.0452996i
$714$	24.0006	+	24.1846i	0.898199	+	0.905085i
$715$	6.13015	−	0.166210i	0.229255	−	0.00621590i
$716$	13.0570	+	2.17037i	0.487965	+	0.0811105i
$717$	−15.2993	+	30.0266i	−0.571364	+	1.12136i
$718$	7.63646	−	3.85431i	0.284990	−	0.143842i
$719$	−42.0391	−	21.4200i	−1.56780	−	0.798832i	−0.568087	−	0.822969i	$-0.692316\pi$
$719$	−42.0391	−	21.4200i	−1.56780	−	0.798832i	−0.999709	+	0.0241372i	$0.992316\pi$
$720$	−1.00195	+	6.84974i	−0.0373405	+	0.255275i
$721$	3.26856	−	20.6369i	0.121728	−	0.768558i
$722$	−30.8228	−	61.0684i	−1.14710	−	2.27273i
$723$	−7.35333	+	10.1210i	−0.273473	+	0.376404i
$724$	2.20615	−	4.24928i	0.0819909	−	0.157923i
$725$	−14.5484	+	32.8399i	−0.540313	+	1.21964i
$726$	−11.6423	−	5.98815i	−0.432086	−	0.222241i
$727$	−14.3549	−	19.7578i	−0.532392	−	0.732775i	0.455100	−	0.890440i	$-0.349603\pi$
$727$	−14.3549	−	19.7578i	−0.532392	−	0.732775i	−0.987493	+	0.157665i	$0.949603\pi$
$728$	−6.87017	−	3.60024i	−0.254625	−	0.133434i
$729$	16.9037			0.626062
$730$	−2.62257	−	1.26022i	−0.0970656	−	0.0466429i
$731$	−8.52611	−	4.34427i	−0.315350	−	0.160679i
$732$	−13.3137	−	0.101672i	−0.492090	−	0.00375790i
$733$	13.7584	−	2.17911i	0.508177	−	0.0804873i	0.102919	−	0.994690i	$-0.467182\pi$
$733$	13.7584	−	2.17911i	0.508177	−	0.0804873i	0.405258	+	0.914202i	$0.367182\pi$
$734$	13.2410	+	41.2875i	0.488735	+	1.52395i
$735$	−34.3725	−	16.3558i	−1.26785	−	0.603292i
$736$	0.258601	−	0.747055i	0.00953216	−	0.0275368i
$737$	2.58898	−	2.58898i	0.0953664	−	0.0953664i
$738$	6.28232	+	3.10698i	0.231255	+	0.114369i
$739$	−15.7354			−0.578835			−0.289418	−	0.957203i	$-0.593462\pi$
$739$	−15.7354			−0.578835			−0.289418	+	0.957203i	$0.593462\pi$
$740$	3.19235	+	9.21087i	0.117353	+	0.338598i
$741$	−7.78777	−	7.78777i	−0.286091	−	0.286091i
$742$	−22.3814	+	43.5144i	−0.821646	+	1.59746i
$743$	−6.54683	−	41.3351i	−0.240180	−	1.51644i	−0.753046	−	0.657968i	$-0.771416\pi$
$743$	−6.54683	−	41.3351i	−0.240180	−	1.51644i	0.512866	−	0.858469i	$-0.328584\pi$
$744$	7.74550	+	52.8115i	0.283964	+	1.93616i
$745$	37.7681	−	29.0361i	1.38372	−	1.06380i
$746$	0.00445833	−	1.16764i	0.000163231	−	0.0427503i
$747$	−2.20080	+	2.20080i	−0.0805231	+	0.0805231i
$748$	24.5292	−	3.69325i	0.896875	−	0.135039i
$749$	−10.9975	+	69.4352i	−0.401838	+	2.53711i
$750$	−29.8602	−	7.20157i	−1.09034	−	0.262964i
$751$	−11.8872	−	23.3299i	−0.433770	−	0.851321i	−0.999640	−	0.0268269i	$-0.991460\pi$
$751$	−11.8872	−	23.3299i	−0.433770	−	0.851321i	0.565870	−	0.824494i	$-0.308540\pi$
$752$	18.2062	−	12.8073i	0.663910	−	0.467036i
$753$	18.1812	+	13.2094i	0.662558	+	0.481377i
$754$	6.66526	+	2.19385i	0.242734	+	0.0798951i
$755$	−14.9989	+	21.8669i	−0.545864	+	0.795817i
$756$	−34.3372	−	0.262219i	−1.24883	−	0.00953683i
$757$	31.9034	−	10.3661i	1.15955	−	0.376761i	0.334817	−	0.942283i	$-0.391326\pi$
$757$	31.9034	−	10.3661i	1.15955	−	0.376761i	0.824733	+	0.565523i	$0.191326\pi$
$758$	22.7455	−	11.4802i	0.826155	−	0.416981i
$759$	1.02520	−	0.333109i	0.0372126	−	0.0120911i
$760$	−22.8406	+	46.6168i	−0.828514	+	1.69097i
$761$	−1.41026	+	4.34035i	−0.0511221	+	0.157338i	−0.973358	−	0.229289i	$-0.926360\pi$
$761$	−1.41026	+	4.34035i	−0.0511221	+	0.157338i	0.922236	+	0.386627i	$0.126360\pi$
$762$	−0.0609348	+	15.9589i	−0.00220743	+	0.578128i
$763$	−19.5246	−	9.94826i	−0.706837	−	0.360151i
$764$	17.9069	+	35.8179i	0.647849	+	1.29585i
$765$	2.32284	−	4.88158i	0.0839825	−	0.176494i
$766$	−2.60101	+	16.0259i	−0.0939784	+	0.579038i
$767$	−5.09864	+	7.01767i	−0.184101	+	0.253393i
$768$	−8.69778	−	29.8410i	−0.313854	−	1.07679i
$769$	16.8620	+	23.2085i	0.608058	+	0.836920i	0.996416	−	0.0845885i	$-0.0269576\pi$
$769$	16.8620	+	23.2085i	0.608058	+	0.836920i	−0.388358	+	0.921509i	$0.626958\pi$
$770$	−43.8780	+	23.6598i	−1.58126	+	0.852641i
$771$	−44.4229	+	32.2751i	−1.59985	+	1.16236i
$772$	−14.0687	+	10.0582i	−0.506342	+	0.362004i
$773$	7.96837	−	24.5241i	0.286602	−	0.882071i	−0.699312	−	0.714817i	$-0.746510\pi$
$773$	7.96837	−	24.5241i	0.286602	−	0.882071i	0.985914	−	0.167254i	$-0.0534900\pi$
$774$	−3.19289	+	1.02397i	−0.114766	+	0.0368059i
$775$	−48.4994	+	2.63191i	−1.74215	+	0.0945412i
$776$	−0.571495	+	0.282993i	−0.0205155	+	0.0101589i
$777$	14.9802	−	7.63277i	0.537410	−	0.273824i
$778$	5.90668	+	38.2377i	0.211765	+	1.37089i
$779$	37.7445	+	36.5723i	1.35234	+	1.31034i
$780$	−0.823161	+	5.94407i	−0.0294739	+	0.212832i
$781$	61.5886	+	20.0114i	2.20381	+	0.716063i
$782$	−0.364778	+	0.498064i	−0.0130445	+	0.0178107i
$783$	30.6827	−	4.85966i	1.09651	−	0.173670i
$784$	35.0475	+	0.535318i	1.25169	+	0.0191185i
$785$	11.7314	−	12.3853i	0.418712	−	0.442050i
$786$	−20.4339	+	10.3135i	−0.728854	+	0.367871i
$787$	1.78050	−	11.2417i	0.0634681	−	0.400722i	−0.935418	−	0.353543i	$-0.884977\pi$
$787$	1.78050	−	11.2417i	0.0634681	−	0.400722i	0.998886	−	0.0471791i	$-0.0150232\pi$
$788$	−32.6090	−	16.9300i	−1.16165	−	0.603107i
$789$	29.2629	+	40.2769i	1.04179	+	1.43390i
$790$	−9.51904	+	19.8095i	−0.338672	+	0.704790i
$791$	−23.3283	+	3.69484i	−0.829460	+	0.131373i
$792$	5.18928	−	6.97304i	0.184393	−	0.247776i
$793$	−2.36689			−0.0840507
$794$	−14.3753	+	27.9487i	−0.510159	+	0.991863i
$795$	37.5382	+	4.90661i	1.33134	+	0.174019i
$796$	3.10657	+	20.6327i	0.110110	+	0.731306i
$797$	−8.86711	−	17.4027i	−0.314089	−	0.616434i	0.678955	−	0.734180i	$-0.262433\pi$
$797$	−8.86711	−	17.4027i	−0.314089	−	0.616434i	−0.993044	+	0.117746i	$0.962433\pi$
$798$	85.0415	+	27.9911i	3.01044	+	0.990874i
$799$	−16.5323	+	5.37168i	−0.584872	+	0.190036i
$800$	27.7634	−	5.40289i	0.981586	−	0.191021i
$801$	−4.08834	−	2.08311i	−0.144454	−	0.0736032i
$802$	−3.32026	+	20.4574i	−0.117242	+	0.722377i
$803$	2.14738	+	2.95562i	0.0757795	+	0.104302i
$804$	2.08372	+	2.91454i	0.0734871	+	0.102788i
$805$	0.351266	−	1.18990i	0.0123805	−	0.0419386i
$806$	1.44859	+	9.37765i	0.0510245	+	0.330314i
$807$	21.3204	+	6.92742i	0.750514	+	0.243857i
$808$	23.8232	+	33.5924i	0.838099	+	1.18178i
$809$	4.94653	−	31.2312i	0.173911	−	1.09803i	−0.734087	−	0.679055i	$-0.762390\pi$
$809$	4.94653	−	31.2312i	0.173911	−	1.09803i	0.907998	−	0.418975i	$-0.137610\pi$
$810$	11.2265	+	31.9964i	0.394459	+	1.12424i
$811$	−12.6378			−0.443772			−0.221886	−	0.975073i	$-0.571221\pi$
$811$	−12.6378			−0.443772			−0.221886	+	0.975073i	$0.571221\pi$
$812$	−56.4058	+	8.49278i	−1.97946	+	0.298038i
$813$	20.7767	−	6.75076i	0.728671	−	0.236759i
$814$	1.96092	−	12.0820i	0.0687301	−	0.423474i
$815$	−0.813922	−	0.240274i	−0.0285105	−	0.00841644i
$816$	−0.370709	+	24.2704i	−0.0129774	+	0.849636i
$817$	−25.1441			−0.879680
$818$	6.07731	−	37.4447i	0.212488	−	1.30922i
$819$	2.12245			0.0741645
$820$	3.48027	−	28.4234i	0.121536	−	0.992587i
$821$	3.00487			0.104871			0.0524353	−	0.998624i	$-0.483302\pi$
$821$	3.00487			0.104871			0.0524353	+	0.998624i	$0.483302\pi$
$822$	−7.59558	+	46.7994i	−0.264926	+	1.63232i
$823$	−1.32646			−0.0462375			−0.0231187	−	0.999733i	$-0.507360\pi$
$823$	−1.32646			−0.0462375			−0.0231187	+	0.999733i	$0.507360\pi$
$824$	12.1417	−	8.61073i	0.422977	−	0.299969i
$825$	28.7090	+	25.7535i	0.999519	+	0.896621i
$826$	11.2966	−	69.6030i	0.393060	−	2.42180i
$827$	10.2006	−	3.31439i	0.354711	−	0.115253i	−0.126241	−	0.992000i	$-0.540291\pi$
$827$	10.2006	−	3.31439i	0.354711	−	0.115253i	0.480952	+	0.876747i	$0.340291\pi$
$828$	0.0322083	+	0.213915i	0.00111932	+	0.00743407i
$829$	28.5887			0.992928			0.496464	−	0.868057i	$-0.334632\pi$
$829$	28.5887			0.992928			0.496464	+	0.868057i	$0.334632\pi$
$830$	11.4619	+	5.50778i	0.397848	+	0.191178i
$831$	−0.909064	+	5.73960i	−0.0315351	+	0.199105i
$832$	−1.58669	−	5.29295i	−0.0550087	−	0.183500i
$833$	−26.0329	−	8.45860i	−0.901986	−	0.293073i
$834$	−0.0120838	−	0.0782263i	−0.000418429	−	0.00270876i
$835$	−27.1549	+	14.7765i	−0.939734	+	0.511362i
$836$	53.0230	−	37.9082i	1.83384	−	1.31108i
$837$	24.6919	+	33.9854i	0.853475	+	1.17471i
$838$	−0.291340	+	1.79506i	−0.0100642	+	0.0620095i
$839$	−24.0486	−	12.2534i	−0.830252	−	0.423034i	−0.0134196	−	0.999910i	$-0.504272\pi$
$839$	−24.0486	−	12.2534i	−0.830252	−	0.423034i	−0.816832	+	0.576876i	$0.804272\pi$
$840$	−15.7983	−	46.1515i	−0.545094	−	1.59238i
$841$	21.4981	−	6.98517i	0.741315	−	0.240868i
$842$	5.51146	+	1.81408i	0.189938	+	0.0625173i
$843$	−1.12391	−	2.20581i	−0.0387096	−	0.0759720i
$844$	−47.1147	+	7.09386i	−1.62176	+	0.244181i
$845$	3.62927	−	27.7659i	0.124851	−	0.955177i
$846$	−2.78603	+	5.41666i	−0.0957856	+	0.186229i
$847$	18.9195			0.650083
$848$	−33.3145	+	10.2648i	−1.14403	+	0.352493i
$849$	−18.5415	+	2.93669i	−0.636344	+	0.100787i
$850$	−21.9623	−	2.35196i	−0.753301	−	0.0806715i
$851$	0.179056	+	0.246450i	0.00613798	+	0.00844820i
$852$	−29.1989	+	56.2402i	−1.00034	+	1.92676i
$853$	6.30363	−	39.7996i	0.215832	−	1.36271i	−0.607124	−	0.794607i	$-0.707677\pi$
$853$	6.30363	−	39.7996i	0.215832	−	1.36271i	0.822957	−	0.568104i	$-0.192323\pi$
$854$	17.1766	−	8.66948i	0.587773	−	0.296664i
$855$	−0.385010	−	14.1999i	−0.0131671	−	0.485627i
$856$	−40.8522	+	28.9718i	−1.39630	+	0.990235i
$857$	−35.6648	+	5.64875i	−1.21829	+	0.192958i	−0.732284	−	0.680999i	$-0.761546\pi$
$857$	−35.6648	+	5.64875i	−1.21829	+	0.192958i	−0.486003	+	0.873957i	$0.661546\pi$
$858$	4.45197	−	6.07867i	0.151988	−	0.207522i
$859$	4.72695	+	1.53588i	0.161282	+	0.0524036i	0.388545	−	0.921430i	$-0.372978\pi$
$859$	4.72695	+	1.53588i	0.161282	+	0.0524036i	−0.227263	+	0.973833i	$0.572978\pi$
$860$	8.26683	+	10.9245i	0.281897	+	0.372524i
$861$	−49.3805	+	0.778872i	−1.68288	+	0.0265439i
$862$	−5.35681	−	34.6780i	−0.182454	−	1.18114i
$863$	−39.7457	+	20.2514i	−1.35296	+	0.689367i	−0.971946	−	0.235202i	$-0.924425\pi$
$863$	−39.7457	+	20.2514i	−1.35296	+	0.689367i	−0.381013	+	0.924570i	$0.624425\pi$
$864$	−16.9644	−	17.6248i	−0.577140	−	0.599608i
$865$	20.0035	+	5.90515i	0.680140	+	0.200781i
$866$	22.2816	−	7.14580i	0.757161	−	0.242824i
$867$	−4.34781	+	13.3812i	−0.147659	+	0.454449i
$868$	−44.8611	−	62.7482i	−1.52269	−	2.12981i
$869$	22.3252	−	16.2202i	0.757330	−	0.550232i
$870$	20.9452	+	38.8437i	0.710110	+	1.31693i
$871$	0.374374	+	0.515282i	0.0126852	+	0.0174597i
$872$	−4.65365	−	14.9011i	−0.157593	−	0.504616i
$873$	0.102573	−	0.141179i	0.00347156	−	0.00477820i
$874$	−0.259883	+	1.60124i	−0.00879067	+	0.0541628i
$875$	43.1333	−	10.4823i	1.45817	−	0.354367i
$876$	−3.19760	+	1.59862i	−0.108037	+	0.0540123i
$877$	−10.3358	−	5.26635i	−0.349015	−	0.177832i	0.270691	−	0.962666i	$-0.412748\pi$
$877$	−10.3358	−	5.26635i	−0.349015	−	0.177832i	−0.619706	+	0.784834i	$0.712748\pi$
$878$	−0.0430986	+	11.2875i	−0.00145451	+	0.380936i
$879$	−10.1940	+	31.3739i	−0.343835	+	1.05822i
$880$	−33.9031	−	10.5739i	−1.14287	−	0.356446i
$881$	40.0275	−	13.0057i	1.34856	−	0.438174i	0.456352	−	0.889799i	$-0.349156\pi$
$881$	40.0275	−	13.0057i	1.34856	−	0.438174i	0.892208	+	0.451626i	$0.149156\pi$
$882$	−8.56269	+	4.32180i	−0.288321	+	0.145523i
$883$	−10.9327	+	3.55226i	−0.367915	+	0.119543i	−0.487139	−	0.873325i	$-0.661959\pi$
$883$	−10.9327	+	3.55226i	−0.367915	+	0.119543i	0.119224	+	0.992867i	$0.461959\pi$
$884$	−0.0329519	+	4.31500i	−0.00110829	+	0.145129i
$885$	−53.6311	+	9.99137i	−1.80279	+	0.335856i
$886$	−1.55130	−	0.510605i	−0.0521170	−	0.0171541i
$887$	−8.67781	−	6.30480i	−0.291372	−	0.211694i	0.432490	−	0.901639i	$-0.357635\pi$
$887$	−8.67781	−	6.30480i	−0.291372	−	0.211694i	−0.723863	+	0.689944i	$0.757635\pi$
$888$	11.3480	+	3.83146i	0.380815	+	0.128575i
$889$	−10.4702	−	20.5489i	−0.351159	−	0.689189i
$890$	−2.50075	+	18.5798i	−0.0838254	+	0.622797i
$891$	6.66033	−	42.0517i	0.223129	−	1.40878i
$892$	1.85037	+	12.2894i	0.0619548	+	0.411480i
$893$	−32.2982	+	32.2982i	−1.08082	+	1.08082i
$894$	0.223490	−	58.5321i	0.00747461	−	1.95761i
$895$	9.01964	+	11.7321i	0.301493	+	0.392161i
$896$	30.9018	+	32.5995i	1.03236	+	1.08907i
$897$	0.0293346	+	0.185211i	0.000979452	+	0.00618402i
$898$	19.3405	−	37.6022i	0.645400	−	1.25480i
$899$	49.3440	+	49.3440i	1.64571	+	1.64571i
$900$	−6.04297	+	4.83591i	−0.201432	+	0.161197i
$901$	27.2231			0.906932
$902$	−20.7846	+	29.3387i	−0.692051	+	0.976871i
$903$	16.7072	−	16.7072i	0.555980	−	0.555980i
$904$	−13.4986	−	10.0456i	−0.448958	−	0.334111i
$905$	5.04427	−	1.79153i	0.167677	−	0.0595526i
$906$	9.94927	+	31.0233i	0.330542	+	1.03068i
$907$	40.1535	−	6.35970i	1.33328	−	0.211170i	0.551211	−	0.834366i	$-0.314166\pi$
$907$	40.1535	−	6.35970i	1.33328	−	0.211170i	0.782066	+	0.623196i	$0.214166\pi$
$908$	0.185023	−	24.2284i	0.00614019	−	0.804048i
$909$	−10.0409	−	5.11612i	−0.333037	−	0.169691i
$910$	−2.87108	−	8.18279i	−0.0951753	−	0.271257i
$911$	12.8587			0.426028			0.213014	−	0.977049i	$-0.431672\pi$
$911$	12.8587			0.426028			0.213014	+	0.977049i	$0.431672\pi$
$912$	28.0848	+	57.2652i	0.929982	+	1.89624i
$913$	−9.38512	−	12.9175i	−0.310602	−	0.427507i
$914$	41.5908	+	21.3920i	1.37570	+	0.707585i
$915$	−10.8072	−	10.2366i	−0.357274	−	0.338411i
$916$	−18.9268	−	9.82646i	−0.625359	−	0.324675i
$917$	19.4425	−	26.7603i	0.642048	−	0.883703i
$918$	8.60777	+	17.0544i	0.284099	+	0.562878i
$919$	7.54866	−	47.6604i	0.249007	−	1.57217i	−0.473491	−	0.880799i	$-0.657006\pi$
$919$	7.54866	−	47.6604i	0.249007	−	1.57217i	0.722498	−	0.691373i	$-0.242994\pi$
$920$	0.781148	−	0.413541i	0.0257537	−	0.0136340i
$921$	45.9279	+	23.4014i	1.51338	+	0.771104i
$922$	−20.8939	+	10.5457i	−0.688103	+	0.347303i
$923$	−5.11427	+	10.0373i	−0.168338	+	0.330382i
$924$	−10.0431	+	60.4200i	−0.330395	+	1.98767i
$925$	−4.41457	+	9.96497i	−0.145150	+	0.327646i
$926$	2.18177	+	2.19849i	0.0716973	+	0.0722469i
$927$	−1.84918	+	3.62922i	−0.0607351	+	0.119199i
$928$	−32.4138	−	24.5089i	−1.06404	−	0.804544i
$929$	11.0249	+	11.0249i	0.361714	+	0.361714i	0.864444	−	0.502730i	$-0.167671\pi$
$929$	11.0249	+	11.0249i	0.361714	+	0.361714i	−0.502730	+	0.864444i	$0.667671\pi$
$930$	−33.9433	+	49.0832i	−1.11304	+	1.60950i
$931$	−71.0398	+	11.2516i	−2.32823	+	0.368756i
$932$	13.8492	+	10.2246i	0.453647	+	0.334916i
$933$	−11.0360	−	1.74793i	−0.361302	−	0.0572245i
$934$	−9.33330	+	12.7436i	−0.305395	+	0.416983i
$935$	22.8705	+	15.6873i	0.747945	+	0.513028i
$936$	1.05686	+	1.08136i	0.0345446	+	0.0353452i
$937$	−36.2338	−	11.7731i	−1.18371	−	0.384609i	−0.349964	−	0.936763i	$-0.613806\pi$
$937$	−36.2338	−	11.7731i	−1.18371	−	0.384609i	−0.833742	+	0.552154i	$0.813806\pi$
$938$	−4.60424	−	2.36816i	−0.150334	−	0.0773232i
$939$	−12.9376	−	9.39973i	−0.422203	−	0.306749i
$940$	24.6518	+	3.41389i	0.804053	+	0.111349i
$941$	−14.2604	−	4.63348i	−0.464875	−	0.151047i	0.0672083	−	0.997739i	$-0.478591\pi$
$941$	−14.2604	−	4.63348i	−0.464875	−	0.151047i	−0.532084	+	0.846692i	$0.678591\pi$
$942$	−3.19980	−	20.7143i	−0.104255	−	0.674910i
$943$	−0.153905	−	0.881505i	−0.00501184	−	0.0287058i
$944$	41.0867	−	28.9029i	1.33726	−	0.940710i
$945$	−27.8725	−	26.4010i	−0.906694	−	0.858824i
$946$	−2.62602	−	16.9999i	−0.0853794	−	0.552715i
$947$	−5.25827	−	33.1994i	−0.170871	−	1.07884i	−0.912815	−	0.408374i	$-0.866096\pi$
$947$	−5.25827	−	33.1994i	−0.170871	−	1.07884i	0.741944	−	0.670462i	$-0.233904\pi$
$948$	12.0751	+	24.1529i	0.392181	+	0.784451i
$949$	−0.566258	+	0.288523i	−0.0183815	+	0.00936586i
$950$	−54.2248	+	20.6928i	−1.75928	+	0.671364i
$951$	24.7984	−	18.0171i	0.804142	−	0.584244i
$952$	−15.5659	−	31.4349i	−0.504495	−	1.01881i
$953$	24.6686	+	3.90712i	0.799094	+	0.126564i	0.542610	−	0.839985i	$-0.317436\pi$
$953$	24.6686	+	3.90712i	0.799094	+	0.126564i	0.256483	+	0.966549i	$0.417436\pi$
$954$	6.77089	−	6.71938i	0.219216	−	0.217548i
$955$	−12.6759	+	42.9394i	−0.410184	+	1.38949i
$956$	24.7191	−	24.3444i	0.799472	−	0.787354i
$957$		−	55.4108i		−	1.79118i
$958$	9.73656	−	3.12255i	0.314574	−	0.100885i
$959$	−21.1725	−	65.1622i	−0.683695	−	2.10420i
$960$	15.6468	−	31.0298i	0.504997	−	1.00148i
$961$	−19.5808	+	60.2636i	−0.631640	+	1.94399i
$962$	2.02251	+	0.665703i	0.0652085	+	0.0214631i
$963$	6.22178	−	12.2109i	0.200494	−	0.393492i
$964$	10.4772	−	7.49054i	0.337447	−	0.241254i
$965$	−19.1726	−	2.50604i	−0.617188	−	0.0806724i
$966$	−0.891277	−	1.23664i	−0.0286764	−	0.0397882i
$967$	−42.1816	+	30.6467i	−1.35647	+	0.985533i	−0.357809	+	0.933795i	$0.616476\pi$
$967$	−42.1816	+	30.6467i	−1.35647	+	0.985533i	−0.998661	+	0.0517377i	$0.983524\pi$
$968$	9.42086	+	9.63919i	0.302798	+	0.309815i
$969$	−7.79176	−	49.1952i	−0.250307	−	1.58038i
$970$	−0.683047	−	0.204478i	−0.0219313	−	0.00656539i
$971$	−4.66908	−	9.16358i	−0.149838	−	0.294073i	0.803872	−	0.594803i	$-0.202770\pi$
$971$	−4.66908	−	9.16358i	−0.149838	−	0.294073i	−0.953709	+	0.300730i	$0.902770\pi$
$972$	14.9088	+	4.97034i	0.478199	+	0.159424i
$973$	0.0672351	+	0.0925411i	0.00215546	+	0.00296673i
$974$	12.6252	+	0.0482060i	0.404536	+	0.00154462i
$975$	−5.20611	+	4.23183i	−0.166729	+	0.135527i
$976$	12.9700	+	4.43431i	0.415158	+	0.141939i
$977$	−6.98344	−	21.4928i	−0.223420	−	0.687616i	−0.998448	−	0.0556892i	$-0.982264\pi$
$977$	−6.98344	−	21.4928i	−0.223420	−	0.687616i	0.775028	−	0.631927i	$-0.217736\pi$
$978$	−0.845890	+	0.609654i	−0.0270486	+	0.0194946i
$979$	13.8360	−	19.0436i	0.442200	−	0.608637i
$980$	28.2449	+	27.1659i	0.902251	+	0.867784i
$981$	3.02060	+	3.02060i	0.0964405	+	0.0964405i
$982$	1.00085	−	6.16661i	0.0319383	−	0.196784i
$983$	−1.46022	+	1.46022i	−0.0465738	+	0.0465738i	−0.730010	−	0.683436i	$-0.760485\pi$
$983$	−1.46022	+	1.46022i	−0.0465738	+	0.0465738i	0.683436	+	0.730010i	$0.260485\pi$
$984$	−24.9855	−	24.7707i	−0.796509	−	0.789661i
$985$	−13.7483	−	38.7099i	−0.438056	−	1.23340i
$986$	18.5547	+	25.7446i	0.590903	+	0.819874i
$987$		−	42.9216i		−	1.36621i
$988$	5.07031	+	10.1418i	0.161308	+	0.322653i
$989$	0.346347	+	0.251636i	0.0110132	+	0.00800156i
$990$	9.56037	−	1.74333i	0.303848	−	0.0554068i
$991$	49.7909	+	25.3697i	1.58166	+	0.805896i	0.999972	−	0.00751489i	$-0.00239209\pi$
$991$	49.7909	+	25.3697i	1.58166	+	0.805896i	0.581689	+	0.813411i	$0.302392\pi$
$992$	9.63087	−	54.1011i	0.305780	−	1.71771i
$993$	9.72719	−	9.72719i	0.308683	−	0.308683i
$994$	0.349652	−	91.5740i	0.0110903	−	2.90455i
$995$	−13.1953	+	19.2375i	−0.418320	+	0.609869i
$996$	13.9751	−	6.98674i	0.442817	−	0.221383i
$997$	−5.24057	+	16.1288i	−0.165970	+	0.510804i	−0.999106	−	0.0422637i	$-0.986543\pi$
$997$	−5.24057	+	16.1288i	−0.165970	+	0.510804i	0.833136	+	0.553068i	$0.186543\pi$
$998$	9.82295	−	13.4121i	0.310940	−	0.424554i
$999$	9.31039	−	1.47462i	0.294568	−	0.0466549i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bv.c.103.7	yes	960
4.3	odd	2	inner	820.2.bv.c.103.44	yes	960
5.2	odd	4		820.2.bk.c.267.68	yes	960
20.7	even	4		820.2.bk.c.267.19	yes	960
41.2	even	20		820.2.bk.c.43.19	✓	960
164.43	odd	20		820.2.bk.c.43.68	yes	960
205.2	odd	20	inner	820.2.bv.c.207.44	yes	960
820.207	even	20	inner	820.2.bv.c.207.7	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.19	✓	960	41.2	even	20
820.2.bk.c.43.68	yes	960	164.43	odd	20
820.2.bk.c.267.19	yes	960	20.7	even	4
820.2.bk.c.267.68	yes	960	5.2	odd	4
820.2.bv.c.103.7	yes	960	1.1	even	1	trivial
820.2.bv.c.103.44	yes	960	4.3	odd	2	inner
820.2.bv.c.207.7	yes	960	820.207	even	20	inner
820.2.bv.c.207.44	yes	960	205.2	odd	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-1.39595 - 0.226563i) q^{2} -1.94267 q^{3} +(1.89734 + 0.632541i) q^{4} +(1.06878 + 1.96410i) q^{5} +(2.71187 + 0.440138i) q^{6} +(-3.77593 + 1.22687i) q^{7} +(-2.50527 - 1.31286i) q^{8} +0.773974 q^{9} +(-1.04697 - 2.98393i) q^{10} +(-0.621132 + 3.92167i) q^{11} +(-3.68590 - 1.22882i) q^{12} +(-0.656902 - 0.213440i) q^{13} +(5.54897 - 0.857164i) q^{14} +(-2.07629 - 3.81561i) q^{15} +(3.19978 + 2.40029i) q^{16} +(-1.83606 - 2.52712i) q^{17} +(-1.08043 - 0.175354i) q^{18} +(-7.31333 - 3.72633i) q^{19} +(0.785460 + 4.40262i) q^{20} +(7.33540 - 2.38341i) q^{21} +(1.75558 - 5.33372i) q^{22} +(0.0634454 + 0.124519i) q^{23} +(4.86692 + 2.55046i) q^{24} +(-2.71542 + 4.19839i) q^{25} +(0.868643 + 0.446782i) q^{26} +4.32444 q^{27} +(-7.94027 - 0.0606367i) q^{28} +(7.09518 - 1.12377i) q^{29} +(2.03391 + 5.79680i) q^{30} +(5.70984 + 7.85892i) q^{31} +(-3.92291 - 4.07563i) q^{32} +(1.20666 - 7.61852i) q^{33} +(1.99049 + 3.94372i) q^{34} +(-6.44535 - 6.10507i) q^{35} +(1.46849 + 0.489570i) q^{36} +(2.15297 - 0.340997i) q^{37} +(9.36478 + 6.85869i) q^{38} +(1.27615 + 0.414645i) q^{39} +(-0.0989891 - 6.32378i) q^{40} +(-6.12018 - 1.88239i) q^{41} +(-10.7798 + 1.66519i) q^{42} +(2.72949 - 1.39075i) q^{43} +(-3.65912 + 7.04785i) q^{44} +(0.827208 + 1.52017i) q^{45} +(-0.0603551 - 0.188196i) q^{46} +(1.71965 - 5.29255i) q^{47} +(-6.21613 - 4.66297i) q^{48} +(7.08932 - 5.15070i) q^{49} +(4.74178 - 5.24552i) q^{50} +(3.56687 + 4.90937i) q^{51} +(-1.11136 - 0.820486i) q^{52} +(-5.12255 + 7.05059i) q^{53} +(-6.03669 - 0.979760i) q^{54} +(-8.36643 + 2.97144i) q^{55} +(11.0705 + 1.88362i) q^{56} +(14.2074 + 7.23904i) q^{57} +(-10.1591 - 0.0387900i) q^{58} +(3.88082 - 11.9439i) q^{59} +(-1.52589 - 8.55284i) q^{60} +(3.25904 - 1.05893i) q^{61} +(-6.19009 - 12.2643i) q^{62} +(-2.92247 + 0.949569i) q^{63} +(4.55279 + 6.57815i) q^{64} +(-0.282865 - 1.51835i) q^{65} +(-3.41051 + 10.3617i) q^{66} +(-0.746020 - 0.542015i) q^{67} +(-1.88512 - 5.95620i) q^{68} +(-0.123254 - 0.241899i) q^{69} +(7.61419 + 9.98263i) q^{70} +(2.55138 - 16.1088i) q^{71} +(-1.93902 - 1.01612i) q^{72} +(0.650616 - 0.650616i) q^{73} +(-3.08269 - 0.0117705i) q^{74} +(5.27516 - 8.15610i) q^{75} +(-11.5188 - 11.6961i) q^{76} +(-2.46605 - 15.5700i) q^{77} +(-1.68749 - 0.867950i) q^{78} +(-4.91440 - 4.91440i) q^{79} +(-1.29455 + 8.85009i) q^{80} -10.7229 q^{81} +(8.11697 + 4.01432i) q^{82} +(-2.84351 + 2.84351i) q^{83} +(15.4253 + 0.117797i) q^{84} +(3.00119 - 6.30716i) q^{85} +(-4.12532 + 1.32300i) q^{86} +(-13.7836 + 2.18311i) q^{87} +(6.70472 - 9.00940i) q^{88} +(-5.28228 - 2.69145i) q^{89} +(-0.810325 - 2.30949i) q^{90} +2.74228 q^{91} +(0.0416142 + 0.276386i) q^{92} +(-11.0923 - 15.2673i) q^{93} +(-3.59964 + 6.99851i) q^{94} +(-0.497446 - 18.3468i) q^{95} +(7.62093 + 7.91761i) q^{96} +(0.132528 - 0.182409i) q^{97} +(-11.0633 + 5.58392i) q^{98} +(-0.480740 + 3.03527i) 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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