LMFDB - Embedded newform 820.2.bk.c.43.68

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(43,820)] 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, 13])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.43"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bk (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			43.68
Character	$\chi$	$=$	820.43
Dual form			820.2.bk.c.267.68

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.226563 + 1.39595i) q^{2} -1.94267i q^{3} +(-1.89734 + 0.632541i) q^{4} +(-2.19825 + 0.409529i) q^{5} +(2.71187 - 0.440138i) q^{6} +(-1.22687 + 3.77593i) q^{7} +(-1.31286 - 2.50527i) q^{8} -0.773974 q^{9} +(-1.06972 - 2.97585i) q^{10} +(-0.621132 - 3.92167i) q^{11} +(1.22882 + 3.68590i) q^{12} +(-0.213440 - 0.656902i) q^{13} +(-5.54897 - 0.857164i) q^{14} +(0.795580 + 4.27047i) q^{15} +(3.19978 - 2.40029i) q^{16} +(2.52712 + 1.83606i) q^{17} +(-0.175354 - 1.08043i) q^{18} +(7.31333 - 3.72633i) q^{19} +(3.91177 - 2.16750i) q^{20} +(7.33540 + 2.38341i) q^{21} +(5.33372 - 1.75558i) q^{22} +(0.124519 + 0.0634454i) q^{23} +(-4.86692 + 2.55046i) q^{24} +(4.66457 - 1.80049i) q^{25} +(0.868643 - 0.446782i) q^{26} -4.32444i q^{27} +(-0.0606367 - 7.94027i) q^{28} +(-7.09518 - 1.12377i) q^{29} +(-5.78110 + 2.07812i) q^{30} +(5.70984 - 7.85892i) q^{31} +(4.07563 + 3.92291i) q^{32} +(-7.61852 + 1.20666i) q^{33} +(-1.99049 + 3.94372i) q^{34} +(1.15062 - 8.80287i) q^{35} +(1.46849 - 0.489570i) q^{36} +(0.340997 - 2.15297i) q^{37} +(6.85869 + 9.36478i) q^{38} +(-1.27615 + 0.414645i) q^{39} +(3.91197 + 4.96955i) q^{40} +(-6.12018 + 1.88239i) q^{41} +(-1.66519 + 10.7798i) q^{42} +(-1.39075 + 2.72949i) q^{43} +(3.65912 + 7.04785i) q^{44} +(1.70138 - 0.316964i) q^{45} +(-0.0603551 + 0.188196i) q^{46} +(5.29255 - 1.71965i) q^{47} +(-4.66297 - 6.21613i) q^{48} +(-7.08932 - 5.15070i) q^{49} +(3.57021 + 6.10357i) q^{50} +(3.56687 - 4.90937i) q^{51} +(0.820486 + 1.11136i) q^{52} +(7.05059 - 5.12255i) q^{53} +(6.03669 - 0.979760i) q^{54} +(2.97144 + 8.36643i) q^{55} +(11.0705 - 1.88362i) q^{56} +(-7.23904 - 14.2074i) q^{57} +(-0.0387900 - 10.1591i) q^{58} +(-3.88082 - 11.9439i) q^{59} +(-4.21073 - 7.59929i) q^{60} +(3.25904 + 1.05893i) q^{61} +(12.2643 + 6.19009i) q^{62} +(0.949569 - 2.92247i) q^{63} +(-4.55279 + 6.57815i) q^{64} +(0.738215 + 1.35662i) q^{65} +(-3.41051 - 10.3617i) q^{66} +(0.542015 + 0.746020i) q^{67} +(-5.95620 - 1.88512i) q^{68} +(0.123254 - 0.241899i) q^{69} +(12.5490 - 0.388204i) q^{70} +(2.55138 + 16.1088i) q^{71} +(1.01612 + 1.93902i) q^{72} +(-0.650616 + 0.650616i) q^{73} +(3.08269 - 0.0117705i) q^{74} +(-3.49776 - 9.06173i) q^{75} +(-11.5188 + 11.6961i) q^{76} +(15.5700 + 2.46605i) q^{77} +(-0.867950 - 1.68749i) q^{78} +(4.91440 - 4.91440i) q^{79} +(-6.05092 + 6.58683i) q^{80} -10.7229 q^{81} +(-4.01432 - 8.11697i) q^{82} +(2.84351 - 2.84351i) q^{83} +(-15.4253 + 0.117797i) q^{84} +(-6.30716 - 3.00119i) q^{85} +(-4.12532 - 1.32300i) q^{86} +(-2.18311 + 13.7836i) q^{87} +(-9.00940 + 6.70472i) q^{88} +(5.28228 - 2.69145i) q^{89} +(0.827937 + 2.30323i) q^{90} +2.74228 q^{91} +(-0.276386 - 0.0416142i) q^{92} +(-15.2673 - 11.0923i) q^{93} +(3.59964 + 6.99851i) q^{94} +(-14.5505 + 11.1864i) q^{95} +(7.62093 - 7.91761i) q^{96} +(0.182409 - 0.132528i) q^{97} +(5.58392 - 11.0633i) 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} - 22 q^{8} - 960 q^{9} + 20 q^{12} + 12 q^{13} + 8 q^{14} - 28 q^{16} - 52 q^{17} + 12 q^{18} + 14 q^{20} - 40 q^{21} + 18 q^{22} + 48 q^{24} - 4 q^{25} - 20 q^{26}+ \cdots + 42 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 - 22 * q^8 - 960 * q^9 + 20 * q^12 + 12 * q^13 + 8 * q^14 - 28 * q^16 - 52 * q^17 + 12 * q^18 + 14 * q^20 - 40 * q^21 + 18 * q^22 + 48 * q^24 - 4 * q^25 - 20 * q^26 - 2 * q^28 + 30 * q^30 + 16 * q^33 + 20 * q^34 - 100 * q^36 - 112 * q^37 - 36 * q^38 - 16 * q^40 - 24 * q^41 - 104 * q^42 + 20 * q^45 - 20 * q^46 + 12 * q^48 - 224 * q^49 + 12 * q^50 + 190 * q^52 + 12 * q^53 + 52 * q^54 + 96 * q^56 + 48 * q^57 - 10 * q^58 + 14 * q^60 - 40 * q^61 - 10 * q^62 + 120 * q^64 - 92 * q^65 - 12 * q^66 + 104 * q^69 - 120 * q^70 + 36 * q^72 + 72 * q^73 + 28 * q^74 - 40 * q^76 + 36 * q^77 + 16 * q^78 - 130 * q^80 + 592 * q^81 + 146 * q^82 + 92 * q^84 + 112 * q^85 - 12 * q^86 + 100 * q^88 - 136 * q^89 - 136 * q^90 + 160 * q^92 - 24 * q^93 + 32 * q^94 - 44 * q^96 - 72 * q^97 + 42 * q^98

Character values

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

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.226563	+	1.39595i	0.160205	+	0.987084i
$2$	0.226563	+	1.39595i	0.160205	+	0.987084i
$3$		−	1.94267i		−	1.12160i	−0.827951	−	0.560801i	$-0.810493\pi$
$3$		−	1.94267i		−	1.12160i	0.827951	−	0.560801i	$-0.189507\pi$
$4$	−1.89734	+	0.632541i	−0.948669	+	0.316271i
$5$	−2.19825	+	0.409529i	−0.983086	+	0.183147i
$5$	−2.19825	+	0.409529i	−0.983086	+	0.183147i
$6$	2.71187	−	0.440138i	1.10712	−	0.179686i
$7$	−1.22687	+	3.77593i	−0.463715	+	1.42717i	0.396876	+	0.917872i	$0.370094\pi$
$7$	−1.22687	+	3.77593i	−0.463715	+	1.42717i	−0.860591	+	0.509296i	$0.829906\pi$
$8$	−1.31286	−	2.50527i	−0.464167	−	0.885748i
$9$	−0.773974			−0.257991
$10$	−1.06972	−	2.97585i	−0.338276	−	0.941047i
$11$	−0.621132	−	3.92167i	−0.187278	−	1.18243i	−0.884837	−	0.465901i	$-0.845730\pi$
$11$	−0.621132	−	3.92167i	−0.187278	−	1.18243i	0.697558	−	0.716528i	$-0.254270\pi$
$12$	1.22882	+	3.68590i	0.354730	+	1.06403i
$13$	−0.213440	−	0.656902i	−0.0591977	−	0.182192i	0.917085	−	0.398692i	$-0.130536\pi$
$13$	−0.213440	−	0.656902i	−0.0591977	−	0.182192i	−0.976283	+	0.216500i	$0.930536\pi$
$14$	−5.54897	−	0.857164i	−1.48302	−	0.229087i
$15$	0.795580	+	4.27047i	0.205418	+	1.10263i
$16$	3.19978	−	2.40029i	0.799946	−	0.600072i
$17$	2.52712	+	1.83606i	0.612918	+	0.445311i	0.850441	−	0.526071i	$-0.176335\pi$
$17$	2.52712	+	1.83606i	0.612918	+	0.445311i	−0.237523	+	0.971382i	$0.576335\pi$
$18$	−0.175354	−	1.08043i	−0.0413314	−	0.254659i
$19$	7.31333	−	3.72633i	1.67779	−	0.854879i	0.685917	−	0.727680i	$-0.259401\pi$
$19$	7.31333	−	3.72633i	1.67779	−	0.854879i	0.991877	−	0.127199i	$-0.0405986\pi$
$20$	3.91177	−	2.16750i	0.874699	−	0.484667i
$21$	7.33540	+	2.38341i	1.60071	+	0.520104i
$22$	5.33372	−	1.75558i	1.13715	−	0.374290i
$23$	0.124519	+	0.0634454i	0.0259639	+	0.0132293i	0.466924	−	0.884297i	$-0.345362\pi$
$23$	0.124519	+	0.0634454i	0.0259639	+	0.0132293i	−0.440960	+	0.897527i	$0.645362\pi$
$24$	−4.86692	+	2.55046i	−0.993457	+	0.520610i
$25$	4.66457	−	1.80049i	0.932914	−	0.360098i
$26$	0.868643	−	0.446782i	0.170355	−	0.0876211i
$27$		−	4.32444i		−	0.832239i
$28$	−0.0606367	−	7.94027i	−0.0114593	−	1.50057i
$29$	−7.09518	−	1.12377i	−1.31754	−	0.208678i	−0.542216	−	0.840239i	$-0.682415\pi$
$29$	−7.09518	−	1.12377i	−1.31754	−	0.208678i	−0.775326	+	0.631561i	$0.782415\pi$
$30$	−5.78110	+	2.07812i	−1.05548	+	0.379411i
$31$	5.70984	−	7.85892i	1.02552	−	1.41150i	0.117256	−	0.993102i	$-0.462590\pi$
$31$	5.70984	−	7.85892i	1.02552	−	1.41150i	0.908262	−	0.418402i	$-0.137410\pi$
$32$	4.07563	+	3.92291i	0.720477	+	0.693479i
$33$	−7.61852	+	1.20666i	−1.32621	+	0.210052i
$34$	−1.99049	+	3.94372i	−0.341367	+	0.676342i
$35$	1.15062	−	8.80287i	0.194490	−	1.48796i
$36$	1.46849	−	0.489570i	0.244748	−	0.0815950i
$37$	0.340997	−	2.15297i	0.0560596	−	0.353946i	−0.943674	−	0.330876i	$-0.892656\pi$
$37$	0.340997	−	2.15297i	0.0560596	−	0.353946i	0.999734	−	0.0230703i	$-0.00734415\pi$
$38$	6.85869	+	9.36478i	1.11263	+	1.51917i
$39$	−1.27615	+	0.414645i	−0.204347	+	0.0663963i
$40$	3.91197	+	4.96955i	0.618538	+	0.785755i
$41$	−6.12018	+	1.88239i	−0.955812	+	0.293980i
$41$	−6.12018	+	1.88239i	−0.955812	+	0.293980i
$42$	−1.66519	+	10.7798i	−0.256944	+	1.66336i
$43$	−1.39075	+	2.72949i	−0.212087	+	0.416244i	−0.972402	−	0.233310i	$-0.925044\pi$
$43$	−1.39075	+	2.72949i	−0.212087	+	0.416244i	0.760316	+	0.649554i	$0.225044\pi$
$44$	3.65912	+	7.04785i	0.551633	+	1.06250i
$45$	1.70138	−	0.316964i	0.253627	−	0.0472503i
$46$	−0.0603551	+	0.188196i	−0.00889887	+	0.0277480i
$47$	5.29255	−	1.71965i	0.771997	−	0.250837i	0.103578	−	0.994621i	$-0.466971\pi$
$47$	5.29255	−	1.71965i	0.771997	−	0.250837i	0.668420	+	0.743784i	$0.266971\pi$
$48$	−4.66297	−	6.21613i	−0.673042	−	0.897221i
$49$	−7.08932	−	5.15070i	−1.01276	−	0.735814i
$50$	3.57021	+	6.10357i	0.504904	+	0.863175i
$51$	3.56687	−	4.90937i	0.499462	−	0.687450i
$52$	0.820486	+	1.11136i	0.113781	+	0.154117i
$53$	7.05059	−	5.12255i	0.968473	−	0.703637i	0.0133701	−	0.999911i	$-0.495744\pi$
$53$	7.05059	−	5.12255i	0.968473	−	0.703637i	0.955103	+	0.296274i	$0.0957440\pi$
$54$	6.03669	−	0.979760i	0.821489	−	0.133328i
$55$	2.97144	+	8.36643i	0.400669	+	1.12813i
$56$	11.0705	−	1.88362i	1.47935	−	0.251709i
$57$	−7.23904	−	14.2074i	−0.958834	−	1.88182i
$58$	−0.0387900	−	10.1591i	−0.00509337	−	1.33396i
$59$	−3.88082	−	11.9439i	−0.505240	−	1.55497i	−0.800367	−	0.599510i	$-0.795362\pi$
$59$	−3.88082	−	11.9439i	−0.505240	−	1.55497i	0.295128	−	0.955458i	$-0.404638\pi$
$60$	−4.21073	−	7.59929i	−0.543603	−	0.981064i
$61$	3.25904	+	1.05893i	0.417278	+	0.135582i	0.510128	−	0.860098i	$-0.329598\pi$
$61$	3.25904	+	1.05893i	0.417278	+	0.135582i	−0.0928507	+	0.995680i	$0.529598\pi$
$62$	12.2643	+	6.19009i	1.55757	+	0.786143i
$63$	0.949569	−	2.92247i	0.119634	−	0.368197i
$64$	−4.55279	+	6.57815i	−0.569099	+	0.822269i
$65$	0.738215	+	1.35662i	0.0915643	+	0.168268i
$66$	−3.41051	−	10.3617i	−0.419804	−	1.27543i
$67$	0.542015	+	0.746020i	0.0662177	+	0.0911408i	0.840841	−	0.541282i	$-0.182061\pi$
$67$	0.542015	+	0.746020i	0.0662177	+	0.0911408i	−0.774624	+	0.632422i	$0.782061\pi$
$68$	−5.95620	−	1.88512i	−0.722295	−	0.228605i
$69$	0.123254	−	0.241899i	0.0148380	−	0.0291212i
$70$	12.5490	−	0.388204i	1.49990	−	0.0463992i
$71$	2.55138	+	16.1088i	0.302793	+	1.91176i	0.400036	+	0.916499i	$0.368998\pi$
$71$	2.55138	+	16.1088i	0.302793	+	1.91176i	−0.0972432	+	0.995261i	$0.531002\pi$
$72$	1.01612	+	1.93902i	0.119751	+	0.228515i
$73$	−0.650616	+	0.650616i	−0.0761488	+	0.0761488i	−0.744155	−	0.668007i	$-0.767148\pi$
$73$	−0.650616	+	0.650616i	−0.0761488	+	0.0761488i	0.668007	+	0.744155i	$0.267148\pi$
$74$	3.08269	−	0.0117705i	0.358356	−	0.00136829i
$75$	−3.49776	−	9.06173i	−0.403887	−	1.04636i
$76$	−11.5188	+	11.6961i	−1.32130	+	1.34163i
$77$	15.5700	+	2.46605i	1.77437	+	0.281032i
$78$	−0.867950	−	1.68749i	−0.0982760	−	0.191070i
$79$	4.91440	−	4.91440i	0.552914	−	0.552914i	−0.374367	−	0.927281i	$-0.622140\pi$
$79$	4.91440	−	4.91440i	0.552914	−	0.552914i	0.927281	+	0.374367i	$0.122140\pi$
$80$	−6.05092	+	6.58683i	−0.676514	+	0.736430i
$81$	−10.7229			−1.19143
$82$	−4.01432	−	8.11697i	−0.443308	−	0.896369i
$83$	2.84351	−	2.84351i	0.312116	−	0.312116i	−0.533613	−	0.845729i	$-0.679166\pi$
$83$	2.84351	−	2.84351i	0.312116	−	0.312116i	0.845729	+	0.533613i	$0.179166\pi$
$84$	−15.4253	+	0.117797i	−1.68304	+	0.0128527i
$85$	−6.30716	−	3.00119i	−0.684108	−	0.325525i
$86$	−4.12532	−	1.32300i	−0.444845	−	0.142663i
$87$	−2.18311	+	13.7836i	−0.234054	+	1.47776i
$88$	−9.00940	+	6.70472i	−0.960406	+	0.714726i
$89$	5.28228	−	2.69145i	0.559920	−	0.285294i	−0.151038	−	0.988528i	$-0.548262\pi$
$89$	5.28228	−	2.69145i	0.559920	−	0.285294i	0.710958	+	0.703234i	$0.248262\pi$
$90$	0.827937	+	2.30323i	0.0872722	+	0.242782i
$91$	2.74228			0.287469
$92$	−0.276386	−	0.0416142i	−0.0288152	−	0.00433858i
$93$	−15.2673	−	11.0923i	−1.58315	−	1.15022i
$94$	3.59964	+	6.99851i	0.371275	+	0.721841i
$95$	−14.5505	+	11.1864i	−1.49285	+	1.14770i
$96$	7.62093	−	7.91761i	0.777808	−	0.808088i
$97$	0.182409	−	0.132528i	0.0185208	−	0.0134561i	−0.578486	−	0.815692i	$-0.696356\pi$
$97$	0.182409	−	0.132528i	0.0185208	−	0.0134561i	0.597007	+	0.802236i	$0.296356\pi$
$98$	5.58392	−	11.0633i	0.564061	−	1.11756i
$99$	0.480740	+	3.03527i	0.0483162	+	0.305056i
$100$	−7.71139	+	6.36667i	−0.771139	+	0.636667i
$101$	−12.9732	+	6.61020i	−1.29089	+	0.657739i	−0.958416	−	0.285374i	$-0.907882\pi$
$101$	−12.9732	+	6.61020i	−1.29089	+	0.657739i	−0.332470	+	0.943114i	$0.607882\pi$
$102$	7.66135	+	3.86688i	0.758587	+	0.382878i
$103$	4.68908	−	2.38921i	0.462029	−	0.235415i	−0.207451	−	0.978245i	$-0.566517\pi$
$103$	4.68908	−	2.38921i	0.462029	−	0.235415i	0.669480	+	0.742830i	$0.266517\pi$
$104$	−1.36550	+	1.39715i	−0.133898	+	0.137002i
$105$	−17.1011	−	2.23528i	−1.66890	−	0.218141i
$106$	8.74822	+	8.68167i	0.849702	+	0.843238i
$107$	15.7769	−	8.03875i	1.52521	−	0.777136i	0.527826	−	0.849353i	$-0.323007\pi$
$107$	15.7769	−	8.03875i	1.52521	−	0.777136i	0.997389	+	0.0722168i	$0.0230074\pi$
$108$	2.73539	+	8.20492i	0.263213	+	0.789519i
$109$	−3.90272	+	3.90272i	−0.373813	+	0.373813i	−0.868864	−	0.495051i	$-0.835149\pi$
$109$	−3.90272	+	3.90272i	−0.373813	+	0.373813i	0.495051	+	0.868864i	$0.335149\pi$
$110$	−11.0059	+	6.04350i	−1.04937	+	0.576225i
$111$	−4.18251	−	0.662445i	−0.396987	−	0.0628765i
$112$	5.13760	+	15.0270i	0.485457	+	1.41992i
$113$	0.930632	+	5.87578i	0.0875465	+	0.552747i	0.992006	+	0.126188i	$0.0402743\pi$
$113$	0.930632	+	5.87578i	0.0875465	+	0.552747i	−0.904460	+	0.426559i	$0.859726\pi$
$114$	18.1927	−	13.3242i	1.70390	−	1.24792i
$115$	−0.299705	−	0.0884746i	−0.0279477	−	0.00825030i
$116$	14.1728	−	2.35583i	1.31591	−	0.218733i
$117$	0.165197	+	0.508425i	0.0152725	+	0.0470039i
$118$	15.7939	−	8.12348i	1.45394	−	0.747827i
$119$	−10.0333	+	7.28963i	−0.919753	+	0.668239i
$120$	9.65421	−	7.59968i	0.881305	−	0.693753i
$121$	−4.53209	+	1.47257i	−0.412009	+	0.133870i
$122$	−0.739826	+	4.78936i	−0.0669807	+	0.433609i
$123$	3.65686	+	11.8895i	0.329728	+	1.07204i
$124$	−5.86241	+	18.5227i	−0.526460	+	1.66339i
$125$	−9.51653	+	5.86820i	−0.851184	+	0.524868i
$126$	4.29475	+	0.663423i	0.382607	+	0.0591024i
$127$	−5.73734	−	0.908705i	−0.509106	−	0.0806345i	−0.103403	−	0.994640i	$-0.532973\pi$
$127$	−5.73734	−	0.908705i	−0.509106	−	0.0806345i	−0.405703	+	0.914005i	$0.632973\pi$
$128$	−10.2143	−	4.86508i	−0.902821	−	0.430017i
$129$	5.30251	+	2.70176i	0.466860	+	0.237877i
$130$	−1.72652	+	1.33787i	−0.151426	+	0.117339i
$131$	−6.74020	−	4.89705i	−0.588894	−	0.427857i	0.253025	−	0.967460i	$-0.418574\pi$
$131$	−6.74020	−	4.89705i	−0.588894	−	0.427857i	−0.841920	+	0.539603i	$0.818574\pi$
$132$	13.6917	−	7.10846i	1.19171	−	0.618712i
$133$	5.09782	+	32.1864i	0.442037	+	2.79091i
$134$	−0.918604	+	0.925645i	−0.0793553	+	0.0799636i
$135$	1.77098	+	9.50618i	0.152422	+	0.818162i
$136$	1.28208	−	8.74164i	0.109937	−	0.749589i
$137$	−17.2573			−1.47439			−0.737193	−	0.675682i	$-0.763849\pi$
$137$	−17.2573			−1.47439			−0.737193	+	0.675682i	$0.763849\pi$
$138$	0.365603	+	0.117250i	0.0311222	+	0.00998099i
$139$	0.00890311	−	0.0274009i	0.000755152	−	0.00232412i	−0.950678	−	0.310179i	$-0.899611\pi$
$139$	0.00890311	−	0.0274009i	0.000755152	−	0.00232412i	0.951433	+	0.307855i	$0.0996111\pi$
$140$	3.38506	+	17.4298i	0.286090	+	1.47309i
$141$	−3.34072	−	10.2817i	−0.281340	−	0.865874i
$142$	−21.9090	+	7.21125i	−1.83856	+	0.605155i
$143$	−2.44358	+	1.24507i	−0.204342	+	0.104118i
$144$	−2.47655	+	1.85776i	−0.206379	+	0.154813i
$145$	16.0572	−	0.435366i	1.33348	−	0.0361552i
$146$	−1.05563	−	0.760819i	−0.0873646	−	0.0629659i
$147$	−10.0061	+	13.7722i	−0.825290	+	1.13591i
$148$	0.714856	+	4.30061i	0.0587608	+	0.353508i
$149$	3.33284	−	21.0428i	0.273037	−	1.72389i	−0.345746	−	0.938328i	$-0.612374\pi$
$149$	3.33284	−	21.0428i	0.273037	−	1.72389i	0.618784	−	0.785562i	$-0.287626\pi$
$150$	11.8572	−	6.93575i	0.968139	−	0.566301i
$151$	5.38367	−	10.5660i	0.438117	−	0.859852i	−0.561362	−	0.827570i	$-0.689723\pi$
$151$	5.38367	−	10.5660i	0.438117	−	0.859852i	0.999479	−	0.0322819i	$-0.0102774\pi$
$152$	−18.9369	−	13.4297i	−1.53598	−	1.08930i
$153$	−1.95593	−	1.42106i	−0.158127	−	0.114886i
$154$	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
$157$	7.25577	+	2.35754i	0.579074	+	0.188152i	0.583886	−	0.811836i	$-0.301532\pi$
$157$	7.25577	+	2.35754i	0.579074	+	0.188152i	−0.00481187	+	0.999988i	$0.501532\pi$
$158$	7.97367	+	5.74683i	0.634351	+	0.457193i
$159$	−9.95144	−	13.6970i	−0.789201	−	1.08624i
$160$	−10.5658	−	6.95444i	−0.835299	−	0.549796i
$161$	−0.392334	+	0.392334i	−0.0309203	+	0.0309203i
$162$	−2.42941	−	14.9686i	−0.190873	−	1.17604i
$163$	0.268366	−	0.268366i	0.0210200	−	0.0210200i	−0.696519	−	0.717539i	$-0.745269\pi$
$163$	0.268366	−	0.268366i	0.0210200	−	0.0210200i	0.717539	+	0.696519i	$0.245269\pi$
$164$	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
$167$	−13.8256			−1.06986			−0.534928	−	0.844898i	$-0.679661\pi$
$167$	−13.8256			−1.06986			−0.534928	+	0.844898i	$0.679661\pi$
$168$	−3.65926	−	21.5063i	−0.282318	−	1.65924i
$169$	10.1313	−	7.36079i	0.779327	−	0.566215i
$170$	2.76053	−	9.48443i	0.211723	−	0.727422i
$171$	−5.66033	+	2.88408i	−0.432856	+	0.220551i
$172$	0.912199	−	6.05847i	0.0695545	−	0.461954i
$173$	−6.59554	+	6.59554i	−0.501450	+	0.501450i	−0.911888	−	0.410438i	$-0.865376\pi$
$173$	−6.59554	+	6.59554i	−0.501450	+	0.501450i	0.410438	+	0.911888i	$0.365376\pi$
$174$	−19.7358	+	0.0753561i	−1.49617	+	0.00571273i
$175$	1.07568	+	19.8221i	0.0813140	+	1.49841i
$176$	−11.4006	−	11.0576i	−0.859355	−	0.833499i
$177$	−23.2031	+	7.53916i	−1.74405	+	0.566678i
$178$	4.95390	+	6.76399i	0.371310	+	0.506983i
$179$	−6.53662	−	1.03530i	−0.488570	−	0.0773818i	−0.0927106	−	0.995693i	$-0.529553\pi$
$179$	−6.53662	−	1.03530i	−0.488570	−	0.0773818i	−0.395859	+	0.918311i	$0.629553\pi$
$180$	−3.02761	+	1.67758i	−0.225665	+	0.125040i
$181$	0.374492	+	2.36445i	0.0278358	+	0.175748i	0.997689	−	0.0679401i	$-0.0216427\pi$
$181$	0.374492	+	2.36445i	0.0278358	+	0.175748i	−0.969854	+	0.243688i	$0.921643\pi$
$182$	0.621301	+	3.82808i	0.0460539	+	0.283756i
$183$	2.05715	−	6.33125i	0.152069	−	0.468019i
$184$	−0.00452764	−	0.395248i	−0.000333782	−	0.0291381i
$185$	0.132108	+	4.87241i	0.00971278	+	0.358226i
$186$	12.0253	−	23.8255i	0.881739	−	1.74697i
$187$	5.63076	−	11.0510i	0.411762	−	0.808129i
$188$	−8.95400	+	6.61052i	−0.653038	+	0.482122i
$189$	16.3288	+	5.30554i	1.18774	+	0.385922i
$190$	−18.9122	−	17.7773i	−1.37204	−	1.28970i
$191$	14.1579	−	14.1579i	1.02443	−	1.02443i	0.0247385	−	0.999694i	$-0.492125\pi$
$191$	14.1579	−	14.1579i	1.02443	−	1.02443i	0.999694	−	0.0247385i	$-0.00787531\pi$
$192$	12.7792	+	8.84457i	0.922259	+	0.638302i
$193$	6.99572	−	5.08269i	0.503563	−	0.365860i	−0.306813	−	0.951770i	$-0.599263\pi$
$193$	6.99572	−	5.08269i	0.503563	−	0.365860i	0.810376	+	0.585910i	$0.199263\pi$
$194$	0.226329	+	0.224607i	0.0162494	+	0.0161258i
$195$	2.63547	−	1.43411i	0.188730	−	0.102699i
$196$	16.7089	+	5.28832i	1.19349	+	0.377737i
$197$	2.87386	+	18.1448i	0.204754	+	1.29277i	0.849182	+	0.528100i	$0.177095\pi$
$197$	2.87386	+	18.1448i	0.204754	+	1.29277i	−0.644428	+	0.764665i	$0.722905\pi$
$198$	−4.12816	+	1.35877i	−0.293376	+	0.0965635i
$199$	−4.73631	+	9.29553i	−0.335748	+	0.658943i	−0.995727	−	0.0923411i	$-0.970565\pi$
$199$	−4.73631	+	9.29553i	−0.335748	+	0.658943i	0.659979	+	0.751284i	$0.270565\pi$
$200$	−10.6347	−	9.32223i	−0.751984	−	0.659181i
$201$	1.44927	−	1.05296i	0.102224	−	0.0742699i
$202$	−12.1668	−	16.6123i	−0.856050	−	1.16884i
$203$	12.9482	−	25.4122i	0.908783	−	1.78359i
$204$	−3.66217	+	11.5709i	−0.256404	+	0.810127i
$205$	12.6828	−	6.64434i	0.885803	−	0.464061i
$206$	4.39758	+	6.00440i	0.306394	+	0.418346i
$207$	−0.0963741	−	0.0491050i	−0.00669846	−	0.00341304i
$208$	−2.25972	−	1.58963i	−0.156683	−	0.110221i
$209$	−19.1560	−	26.3660i	−1.32505	−	1.82377i
$210$	−0.754152	−	24.3786i	−0.0520415	−	1.68229i
$211$	−21.2264	−	10.8154i	−1.46128	−	0.744561i	−0.470805	−	0.882237i	$-0.656037\pi$
$211$	−21.2264	−	10.8154i	−1.46128	−	0.744561i	−0.990477	+	0.137677i	$0.956037\pi$
$212$	−10.1371	+	14.1790i	−0.696221	+	0.973818i
$213$	31.2941	−	4.95649i	2.14423	−	0.339613i
$214$	14.7962	+	20.2025i	1.01144	+	1.38101i
$215$	1.93940	−	6.56965i	0.132266	−	0.448046i
$216$	−10.8339	+	5.67739i	−0.737154	+	0.386297i
$217$	22.6695	+	31.2019i	1.53891	+	2.11812i
$218$	−6.33221	−	4.56378i	−0.428871	−	0.309098i
$219$	1.26393	+	1.26393i	0.0854087	+	0.0854087i
$220$	−10.9299	−	13.9944i	−0.736896	−	0.943502i
$221$	0.666723	−	2.05196i	0.0448487	−	0.138030i
$222$	−0.0228662	−	5.98866i	−0.00153468	−	0.401932i
$223$	5.53669	+	2.82108i	0.370764	+	0.188914i	0.629438	−	0.777051i	$-0.283285\pi$
$223$	5.53669	+	2.82108i	0.370764	+	0.188914i	−0.258673	+	0.965965i	$0.583285\pi$
$224$	−19.8129	+	10.5764i	−1.32381	+	0.706664i
$225$	−3.61026	+	1.39353i	−0.240684	+	0.0929021i
$226$	−7.99143	+	2.63035i	−0.531582	+	0.174968i
$227$	11.5216	+	3.74360i	0.764717	+	0.248472i	0.665302	−	0.746574i	$-0.268303\pi$
$227$	11.5216	+	3.74360i	0.764717	+	0.248472i	0.0994154	+	0.995046i	$0.468303\pi$
$228$	22.7217	+	22.3773i	1.50478	+	1.48197i
$229$	10.5315	−	1.66803i	0.695944	−	0.110227i	0.201568	−	0.979475i	$-0.435396\pi$
$229$	10.5315	−	1.66803i	0.695944	−	0.110227i	0.494377	+	0.869248i	$0.335396\pi$
$230$	0.0556037	−	0.438418i	0.00366640	−	0.0289084i
$231$	4.79072	−	30.2474i	0.315207	−	1.99014i
$232$	6.49965	+	19.2507i	0.426723	+	1.26387i
$233$	2.65980	+	8.18603i	0.174250	+	0.536285i	0.999598	−	0.0283382i	$-0.00902153\pi$
$233$	2.65980	+	8.18603i	0.174250	+	0.536285i	−0.825349	+	0.564623i	$0.809022\pi$
$234$	−0.672307	+	0.345797i	−0.0439501	+	0.0226055i
$235$	−10.9301	+	5.94767i	−0.713000	+	0.387983i
$236$	14.9183	+	20.2069i	0.971096	+	1.31536i
$237$	−9.54707	−	9.54707i	−0.620149	−	0.620149i
$238$	−12.4491	−	12.3544i	−0.806957	−	0.800818i
$239$	−7.87540	−	15.4564i	−0.509418	−	0.999788i	−0.992271	−	0.124087i	$-0.960400\pi$
$239$	−7.87540	−	15.4564i	−0.509418	−	0.999788i	0.482854	−	0.875701i	$-0.339600\pi$
$240$	12.7960	+	11.7550i	0.825981	+	0.758779i
$241$	3.78517	+	5.20983i	0.243824	+	0.335595i	0.913336	−	0.407206i	$-0.133497\pi$
$241$	3.78517	+	5.20983i	0.243824	+	0.335595i	−0.669512	+	0.742801i	$0.733497\pi$
$242$	−3.08243	−	5.99293i	−0.198146	−	0.385240i
$243$			7.85773i			0.504074i
$244$	−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
$248$	−27.1850	−	3.98703i	−1.72625	−	0.253177i
$249$	−5.52400	−	5.52400i	−0.350070	−	0.350070i
$250$	−10.3478	−	11.9550i	−0.654452	−	0.756104i
$251$	−9.35884	+	6.79960i	−0.590725	+	0.429187i	−0.842575	−	0.538580i	$-0.818961\pi$
$251$	−9.35884	+	6.79960i	−0.590725	+	0.429187i	0.251850	+	0.967766i	$0.418961\pi$
$252$	0.0469312	+	6.14556i	0.00295639	+	0.387134i
$253$	0.171470	−	0.527729i	0.0107802	−	0.0331780i
$254$	−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
$257$	16.6138	−	22.8669i	1.03634	−	1.42640i	0.136261	−	0.990673i	$-0.456492\pi$
$257$	16.6138	−	22.8669i	1.03634	−	1.42640i	0.900079	−	0.435726i	$-0.143508\pi$
$258$	−2.57016	+	8.01414i	−0.160011	+	0.498939i
$259$	7.71111	+	3.92901i	0.479145	+	0.244137i
$260$	−2.25876	−	2.10702i	−0.140083	−	0.130672i
$261$	5.49148	+	0.869766i	0.339914	+	0.0538371i
$262$	5.30893	−	10.5185i	0.327987	−	0.649833i
$263$	−20.7327	−	15.0632i	−1.27844	−	0.928838i	−0.278931	−	0.960311i	$-0.589980\pi$
$263$	−20.7327	−	15.0632i	−1.27844	−	0.928838i	−0.999505	+	0.0314733i	$0.989980\pi$
$264$	13.0251	+	17.5023i	0.801638	+	1.07719i
$265$	−13.4011	+	14.1481i	−0.823223	+	0.869108i
$266$	−43.7755	+	14.4086i	−2.68405	+	0.883445i
$267$	−5.22861	−	10.2617i	−0.319986	−	0.628008i
$268$	−1.50027	−	1.07260i	−0.0916438	−	0.0655198i
$269$	10.9748	−	3.56592i	0.669145	−	0.217418i	0.0453080	−	0.998973i	$-0.485573\pi$
$269$	10.9748	−	3.56592i	0.669145	−	0.217418i	0.623837	+	0.781555i	$0.285573\pi$
$270$	−12.8689	+	4.62595i	−0.783176	+	0.281526i
$271$	−10.6949	−	3.47499i	−0.649669	−	0.211090i	−0.0344010	−	0.999408i	$-0.510952\pi$
$271$	−10.6949	−	3.47499i	−0.649669	−	0.211090i	−0.615268	+	0.788318i	$0.710952\pi$
$272$	12.4933	−	0.190824i	0.757520	−	0.0115704i
$273$		−	5.32735i		−	0.322426i
$274$	−3.90986	−	24.0902i	−0.236203	−	1.45534i
$275$	−9.95825	−	17.1746i	−0.600505	−	1.03567i
$276$	−0.0808427	+	0.536927i	−0.00486616	+	0.0323192i
$277$	2.95449	−	0.467945i	0.177518	−	0.0281161i	−0.0670425	−	0.997750i	$-0.521356\pi$
$277$	2.95449	−	0.467945i	0.177518	−	0.0281161i	0.244561	+	0.969634i	$0.421356\pi$
$278$	0.0402674	+	0.00622022i	0.00241508	+	0.000373064i
$279$	−4.41927	+	6.08260i	−0.264574	+	0.364156i
$280$	−23.5642	+	8.67433i	−1.40823	+	0.518391i
$281$	0.578540	−	1.13545i	0.0345128	−	0.0677352i	−0.873106	−	0.487530i	$-0.837898\pi$
$281$	0.578540	−	1.13545i	0.0345128	−	0.0677352i	0.907619	+	0.419795i	$0.137898\pi$
$282$	13.5958	−	6.99292i	0.809618	−	0.416423i
$283$	−1.51168	+	9.54435i	−0.0898598	+	0.567352i	0.901144	+	0.433520i	$0.142729\pi$
$283$	−1.51168	+	9.54435i	−0.0898598	+	0.567352i	−0.991004	+	0.133833i	$0.957271\pi$
$284$	−15.0303	−	28.9499i	−0.891884	−	1.71786i
$285$	21.7315	+	28.2668i	1.28726	+	1.67438i
$286$	−2.29167	−	3.12902i	−0.135509	−	0.185023i
$287$	0.400928	−	25.4188i	0.0236661	−	1.50043i
$288$	−3.15443	−	3.03623i	−0.185877	−	0.178912i
$289$	−2.23806	−	6.88804i	−0.131651	−	0.405179i
$290$	4.24572	+	22.3163i	0.249317	+	1.31046i
$291$	−0.257458	−	0.354360i	−0.0150924	−	0.0207729i
$292$	0.822897	−	1.64598i	0.0481564	−	0.0963236i
$293$	−16.1499	+	5.24741i	−0.943486	+	0.306557i	−0.740066	−	0.672534i	$-0.765206\pi$
$293$	−16.1499	+	5.24741i	−0.943486	+	0.306557i	−0.203420	+	0.979092i	$0.565206\pi$
$294$	−21.4923	−	10.8477i	−1.25346	−	0.632652i
$295$	13.4224	+	24.6664i	0.781481	+	1.43613i
$296$	−5.84146	+	1.97226i	−0.339528	+	0.114635i
$297$	−16.9590	+	2.68605i	−0.984063	+	0.155860i
$298$	30.1297	−	0.115042i	1.74537	−	0.00666423i
$299$	0.0151001	−	0.0953383i	0.000873262	−	0.00551356i
$300$	12.3684	+	14.9807i	0.714087	+	0.864911i
$301$	−8.60011	−	8.60011i	−0.495702	−	0.495702i
$302$	15.9694	+	5.12144i	0.918934	+	0.294706i
$303$	12.8414	+	25.2028i	0.737722	+	1.44786i
$304$	14.4568	−	29.4776i	0.829155	−	1.69065i
$305$	−7.59784	−	0.993110i	−0.435051	−	0.0568653i
$306$	1.54059	−	3.05233i	0.0880697	−	0.174490i
$307$	12.0460	+	23.6416i	0.687502	+	1.34930i	0.925765	+	0.378098i	$0.123422\pi$
$307$	12.0460	+	23.6416i	0.687502	+	1.34930i	−0.238263	+	0.971201i	$0.576578\pi$
$308$	−31.1015	+	5.16975i	−1.77217	+	0.294574i
$309$	−4.64144	−	9.10934i	−0.264042	−	0.518212i
$310$	−29.4949	−	8.58477i	−1.67520	−	0.487582i
$311$	5.68082	−	0.899754i	0.322130	−	0.0510204i	0.00672452	−	0.999977i	$-0.497860\pi$
$311$	5.68082	−	0.899754i	0.322130	−	0.0510204i	0.315405	+	0.948957i	$0.397860\pi$
$312$	2.71420	+	2.65272i	0.153661	+	0.150181i
$313$	4.83856	+	6.65971i	0.273492	+	0.376429i	0.923565	−	0.383443i	$-0.125262\pi$
$313$	4.83856	+	6.65971i	0.273492	+	0.376429i	−0.650073	+	0.759872i	$0.725262\pi$
$314$	−1.64711	+	10.6628i	−0.0929520	+	0.601737i
$315$	−0.890549	+	6.81319i	−0.0501768	+	0.383880i
$316$	−6.21572	+	12.4328i	−0.349662	+	0.699402i
$317$	−9.27438	+	12.7651i	−0.520901	+	0.716959i	−0.985710	−	0.168452i	$-0.946123\pi$
$317$	−9.27438	+	12.7651i	−0.520901	+	0.716959i	0.464809	+	0.885411i	$0.346123\pi$
$318$	16.8656	−	16.9949i	0.945778	−	0.953028i
$319$			28.5230i			1.59698i
$320$	7.31421	−	16.3249i	0.408877	−	0.912590i
$321$	−15.6167	−	30.6494i	−0.871637	−	1.71068i
$322$	−0.636566	−	0.458789i	−0.0354745	−	0.0255673i
$323$	25.3235	+	4.01085i	1.40904	+	0.223169i
$324$	20.3449	−	6.78267i	1.13027	−	0.376815i
$325$	−2.17835	−	2.67987i	−0.120833	−	0.148652i
$326$	0.435426	+	0.313822i	0.0241160	+	0.0173810i
$327$	7.58171	+	7.58171i	0.419269	+	0.419269i
$328$	12.7508	+	12.8614i	0.704048	+	0.710153i
$329$			22.0941i			1.21809i
$330$	11.7405	+	21.3808i	0.646295	+	1.17697i
$331$	−5.00712	−	5.00712i	−0.275216	−	0.275216i	0.555980	−	0.831196i	$-0.312343\pi$
$331$	−5.00712	−	5.00712i	−0.275216	−	0.275216i	−0.831196	+	0.555980i	$0.812343\pi$
$332$	−3.59646	+	7.19373i	−0.197381	+	0.394807i
$333$	−0.263923	+	1.66634i	−0.0144629	+	0.0913150i
$334$	−3.13237	−	19.2998i	−0.171396	−	1.05604i
$335$	−1.49700	−	1.41796i	−0.0817898	−	0.0774717i
$336$	29.1926	−	9.98066i	1.59258	−	0.544490i
$337$	−7.83011	−	7.83011i	−0.426533	−	0.426533i	0.460912	−	0.887446i	$-0.347522\pi$
$337$	−7.83011	−	7.83011i	−0.426533	−	0.426533i	−0.887446	+	0.460912i	$0.847522\pi$
$338$	12.5706	+	12.4750i	0.683753	+	0.678551i
$339$	11.4147	−	1.80791i	0.619962	−	0.0981924i
$340$	13.8652	+	1.70473i	0.751946	+	0.0924520i
$341$	−34.3667	−	17.5107i	−1.86106	−	0.948258i
$342$	−5.30845	−	7.24809i	−0.287048	−	0.391932i
$343$	5.66239	−	4.11397i	0.305740	−	0.222133i
$344$	8.66398	−	0.0992474i	0.467131	−	0.00535106i
$345$	−0.171877	+	0.582229i	−0.00925355	+	0.0313461i
$346$	−10.7013	−	7.71272i	−0.575308	−	0.414639i
$347$	−16.9483	−	5.50684i	−0.909833	−	0.295623i	−0.183543	−	0.983012i	$-0.558757\pi$
$347$	−16.9483	−	5.50684i	−0.909833	−	0.295623i	−0.726289	+	0.687389i	$0.758757\pi$
$348$	−4.57661	−	27.5331i	−0.245332	−	1.47593i
$349$	−6.10125	+	18.7777i	−0.326592	+	1.00515i	0.644124	+	0.764921i	$0.277222\pi$
$349$	−6.10125	+	18.7777i	−0.326592	+	1.00515i	−0.970717	+	0.240227i	$0.922778\pi$
$350$	−27.4269	+	5.99256i	−1.46603	+	0.320316i
$351$	−2.84073	+	0.923010i	−0.151627	+	0.0492666i
$352$	12.8529	−	18.4199i	0.685060	−	0.981786i
$353$	17.2319	−	8.78012i	0.917164	−	0.467318i	0.0693381	−	0.997593i	$-0.477911\pi$
$353$	17.2319	−	8.78012i	0.917164	−	0.467318i	0.847826	+	0.530275i	$0.177911\pi$
$354$	−15.7813	−	30.6823i	−0.838764	−	1.63074i
$355$	−12.2056	−	34.3662i	−0.647804	−	1.82397i
$356$	−8.31981	+	8.44786i	−0.440949	+	0.447735i
$357$	14.1614	+	19.4914i	0.749499	+	1.03160i
$358$	−0.0357362	−	9.35934i	−0.00188872	−	0.494656i
$359$	4.89342	+	3.55528i	0.258265	+	0.187640i	0.709382	−	0.704824i	$-0.248974\pi$
$359$	4.89342	+	3.55528i	0.258265	+	0.187640i	−0.451117	+	0.892465i	$0.648974\pi$
$360$	−3.02776	−	3.84630i	−0.159577	−	0.202718i
$361$	28.4314	−	39.1325i	1.49639	−	2.05960i
$362$	−3.21580	+	1.05847i	−0.169019	+	0.0556319i
$363$	2.86071	+	8.80437i	0.150149	+	0.462110i
$364$	−5.20304	+	1.73461i	−0.272713	+	0.0909181i
$365$	1.16377	−	1.69666i	0.0609144	−	0.0888072i
$366$	9.30416	+	1.43724i	0.486336	+	0.0751257i
$367$	27.3176	+	13.9190i	1.42597	+	0.726566i	0.985257	−	0.171083i	$-0.0547268\pi$
$367$	27.3176	+	13.9190i	1.42597	+	0.726566i	0.440710	+	0.897650i	$0.354727\pi$
$368$	0.550720	−	0.0958691i	0.0287082	−	0.00499752i
$369$	4.73686	−	1.45692i	0.246591	−	0.0758441i
$370$	−6.77169	+	1.28833i	−0.352044	+	0.0669768i
$371$	10.6922	+	32.9073i	0.555113	+	1.70846i
$372$	35.9836	+	11.3887i	1.86566	+	0.590478i
$373$	0.815486	+	0.129160i	0.0422243	+	0.00668767i	0.177511	−	0.984119i	$-0.443196\pi$
$373$	0.815486	+	0.129160i	0.0422243	+	0.00668767i	−0.135287	+	0.990807i	$0.543196\pi$
$374$	16.7023	+	5.35650i	0.863657	+	0.276978i
$375$	11.4000	+	18.4875i	0.588693	+	0.954690i
$376$	−11.2566	−	11.0016i	−0.580514	−	0.567365i
$377$	0.776194	+	4.90070i	0.0399760	+	0.252399i
$378$	−3.70676	+	23.9962i	−0.190655	+	1.23423i
$379$	14.5753	+	10.5896i	0.748682	+	0.543949i	0.895418	−	0.445226i	$-0.146877\pi$
$379$	14.5753	+	10.5896i	0.748682	+	0.543949i	−0.146736	+	0.989176i	$0.546877\pi$
$380$	20.5313	−	30.4282i	1.05323	−	1.56093i
$381$	−1.76532	+	11.1458i	−0.0904398	+	0.571015i
$382$	22.9714	+	16.5561i	1.17532	+	0.847082i
$383$	−11.4803			−0.586615			−0.293307	−	0.956018i	$-0.594756\pi$
$383$	−11.4803			−0.586615			−0.293307	+	0.956018i	$0.594756\pi$
$384$	−9.45126	+	19.8429i	−0.482308	+	1.01261i
$385$	−35.2367	+	0.955389i	−1.79583	+	0.0486912i
$386$	8.68013	+	8.61410i	0.441807	+	0.438446i
$387$	1.07640	−	2.11255i	0.0547165	−	0.107387i
$388$	−0.262262	+	0.366831i	−0.0133143	+	0.0186230i
$389$	8.45433	−	26.0198i	0.428652	−	1.31925i	−0.470802	−	0.882239i	$-0.656035\pi$
$389$	8.45433	−	26.0198i	0.428652	−	1.31925i	0.899454	−	0.437016i	$-0.143965\pi$
$390$	2.59904	+	3.35406i	0.131608	+	0.169840i
$391$	0.198184	+	0.388958i	0.0100226	+	0.0196705i
$392$	−3.59660	+	24.5228i	−0.181656	+	1.23859i
$393$	−9.51335	+	13.0940i	−0.479885	+	0.660505i
$394$	−24.6781	+	8.12271i	−1.24327	+	0.409216i
$395$	−8.79048	+	12.8157i	−0.442297	+	0.644826i
$396$	−2.83206	−	5.45485i	−0.142316	−	0.274116i
$397$	21.1359	−	6.86748i	1.06078	−	0.344669i	0.273891	−	0.961761i	$-0.411689\pi$
$397$	21.1359	−	6.86748i	1.06078	−	0.344669i	0.786891	+	0.617092i	$0.211689\pi$
$398$	−14.0491	−	4.50561i	−0.704220	−	0.225846i
$399$	62.5276	−	9.90340i	3.13030	−	0.495790i
$400$	10.6039	−	16.9575i	0.530196	−	0.847875i
$401$			14.6549i			0.731829i	0.930648	+	0.365915i	$0.119244\pi$
$401$			14.6549i			0.731829i	−0.930648	+	0.365915i	$0.880756\pi$
$402$	1.79822	+	1.78455i	0.0896873	+	0.0890050i
$403$	−6.38125	−	2.07339i	−0.317873	−	0.103283i
$404$	20.4334	−	20.7479i	1.01660	−	1.03225i
$405$	23.5715	−	4.39133i	1.17128	−	0.218207i
$406$	38.4077	+	12.3175i	1.90614	+	0.611306i
$407$	−8.65505			−0.429015
$408$	−16.9821	−	2.49065i	−0.840741	−	0.123306i
$409$			26.8239i			1.32636i	0.748462	+	0.663178i	$0.230793\pi$
$409$			26.8239i			1.32636i	−0.748462	+	0.663178i	$0.769207\pi$
$410$	12.1486	+	16.1991i	0.599977	+	0.800017i
$411$			33.5252i			1.65368i
$412$	−7.38550	+	7.49917i	−0.363857	+	0.369457i
$413$	49.8608			2.45349
$414$	0.0467132	−	0.145659i	0.00229583	−	0.00715873i
$415$	−5.08623	+	7.41523i	−0.249673	+	0.363999i
$416$	1.70706	−	3.51460i	0.0836957	−	0.172317i
$417$	−0.0532310	−	0.0172958i	−0.00260674	−	0.000846980i
$418$	32.4655	−	32.7143i	1.58794	−	1.60011i
$419$		−	1.28591i		−	0.0628209i	−0.999507	−	0.0314104i	$-0.990000\pi$
$419$		−	1.28591i		−	0.0628209i	0.999507	−	0.0314104i	$-0.00999990\pi$
$420$	33.8604	−	6.57607i	1.65222	−	0.320879i
$421$	−4.05236	+	0.641831i	−0.197500	+	0.0312809i	−0.254401	−	0.967099i	$-0.581878\pi$
$421$	−4.05236	+	0.641831i	−0.197500	+	0.0312809i	0.0569007	+	0.998380i	$0.481878\pi$
$422$	10.2886	−	32.0812i	0.500840	−	1.56169i
$423$	−4.09629	+	1.33097i	−0.199169	+	0.0647138i
$424$	−22.0898	−	10.9385i	−1.07278	−	0.531218i
$425$	15.0938	+	4.01439i	0.732155	+	0.194726i
$426$	14.0091	+	42.5619i	0.678743	+	2.06213i
$427$	−7.99687	+	11.0067i	−0.386996	+	0.532654i
$428$	−24.8494	+	25.2318i	−1.20114	+	1.21963i
$429$	2.41876	+	4.74708i	0.116779	+	0.229191i
$430$	9.61028	+	1.21885i	0.463449	+	0.0587783i
$431$	7.66730	−	23.5975i	0.369321	−	1.13665i	−0.577910	−	0.816100i	$-0.696132\pi$
$431$	7.66730	−	23.5975i	0.369321	−	1.13665i	0.947231	−	0.320552i	$-0.103868\pi$
$432$	−10.3799	−	13.8373i	−0.499403	−	0.665746i
$433$	7.51169	−	14.7425i	0.360989	−	0.708480i	−0.637067	−	0.770808i	$-0.719853\pi$
$433$	7.51169	−	14.7425i	0.360989	−	0.708480i	0.998056	+	0.0623284i	$0.0198526\pi$
$434$	−38.4201	+	38.7146i	−1.84422	+	1.85836i
$435$	−0.845774	−	31.1938i	−0.0405518	−	1.49563i
$436$	4.93615	−	9.87342i	0.236399	−	0.472851i
$437$	1.14706			0.0548715
$438$	−1.47802	+	2.05074i	−0.0706226	+	0.0979884i
$439$	1.24859	−	7.88329i	0.0595919	−	0.376249i	−0.939811	−	0.341695i	$-0.888999\pi$
$439$	1.24859	−	7.88329i	0.0595919	−	0.376249i	0.999403	−	0.0345537i	$-0.0110010\pi$
$440$	17.0591	−	18.4282i	0.813261	−	0.878532i
$441$	5.48695	+	3.98650i	0.261283	+	0.189833i
$442$	3.01549	+	0.465811i	0.143432	+	0.0221564i
$443$	0.180655	+	1.14061i	0.00858317	+	0.0541920i	0.991608	−	0.129280i	$-0.0412665\pi$
$443$	0.180655	+	1.14061i	0.00858317	+	0.0541920i	−0.983025	+	0.183472i	$0.941266\pi$
$444$	8.35467	−	1.38873i	0.396495	−	0.0659062i
$445$	−10.5095	+	8.07972i	−0.498199	+	0.383016i
$446$	−2.68367	+	8.36808i	−0.127076	+	0.396240i
$447$	−40.8792	−	6.47462i	−1.93352	−	0.306239i
$448$	−19.2530	−	25.2616i	−0.909617	−	1.19350i
$449$	9.23950	+	28.4363i	0.436039	+	1.34199i	0.892018	+	0.451999i	$0.149289\pi$
$449$	9.23950	+	28.4363i	0.436039	+	1.34199i	−0.455979	+	0.889990i	$0.650711\pi$
$450$	−2.76325	−	4.72400i	−0.130261	−	0.222692i
$451$	11.1835	+	22.8321i	0.526613	+	1.07512i
$452$	−5.48240	−	10.5597i	−0.257870	−	0.496686i
$453$	−20.5263	−	10.4587i	−0.964412	−	0.491392i
$454$	−2.61549	+	16.9318i	−0.122751	+	0.794647i
$455$	−6.02821	+	1.12304i	−0.282607	+	0.0526491i
$456$	−26.0896	+	36.7881i	−1.22176	+	1.72276i
$457$	10.2196	+	31.4526i	0.478052	+	1.47129i	0.841798	+	0.539793i	$0.181498\pi$
$457$	10.2196	+	31.4526i	0.478052	+	1.47129i	−0.363746	+	0.931498i	$0.618502\pi$
$458$	4.71455	+	14.3236i	0.220296	+	0.669296i
$459$	7.93994	−	10.9284i	0.370605	−	0.510094i
$460$	0.624606	−	0.0217096i	0.0291224	−	0.00101222i
$461$	13.3887	+	9.72749i	0.623576	+	0.453054i	0.854169	−	0.519996i	$-0.174067\pi$
$461$	13.3887	+	9.72749i	0.623576	+	0.453054i	−0.230593	+	0.973050i	$0.574067\pi$
$462$	43.3092	−	0.165365i	2.01493	−	0.00769349i
$463$	−1.28734	−	1.77187i	−0.0598275	−	0.0823456i	0.778055	−	0.628196i	$-0.216207\pi$
$463$	−1.28734	−	1.77187i	−0.0598275	−	0.0823456i	−0.837882	+	0.545851i	$0.816207\pi$
$464$	−25.4004	+	13.4347i	−1.17918	+	0.623689i
$465$	38.1039	+	18.1313i	1.76703	+	0.840819i
$466$	−10.8247	+	5.56760i	−0.501443	+	0.257914i
$467$	9.95198	−	5.07079i	0.460523	−	0.234648i	−0.208307	−	0.978063i	$-0.566795\pi$
$467$	9.95198	−	5.07079i	0.460523	−	0.234648i	0.668830	+	0.743415i	$0.266795\pi$
$468$	−0.635035	−	0.860160i	−0.0293545	−	0.0397609i
$469$	−3.48190	+	1.13134i	−0.160779	+	0.0522404i
$470$	−10.7790	−	13.9103i	−0.497198	−	0.641634i
$471$	4.57993	−	14.0956i	0.211032	−	0.649490i
$472$	−24.8278	+	25.4032i	−1.14279	+	1.16928i
$473$	11.5680	+	3.75868i	0.531898	+	0.172824i
$474$	11.1642	−	15.4902i	0.512788	−	0.711490i
$475$	27.4044	−	30.5493i	1.25740	−	1.40170i
$476$	14.4256	−	20.1774i	0.661196	−	0.924829i
$477$	−5.45697	+	3.96472i	−0.249858	+	0.181532i
$478$	19.7920	−	14.4955i	0.905264	−	0.663008i
$479$	6.44214	+	3.28243i	0.294349	+	0.149978i	0.594929	−	0.803778i	$-0.297180\pi$
$479$	6.44214	+	3.28243i	0.294349	+	0.149978i	−0.300580	+	0.953757i	$0.597180\pi$
$480$	−13.5102	+	20.5259i	−0.616653	+	0.936873i
$481$	−1.48707	+	0.235529i	−0.0678047	+	0.0107392i
$482$	−6.41507	+	6.46425i	−0.292199	+	0.294439i
$483$	0.762176	+	0.762176i	0.0346802	+	0.0346802i
$484$	7.66746	−	5.66069i	0.348521	−	0.257304i
$485$	−0.346705	+	0.366030i	−0.0157431	+	0.0166206i
$486$	−10.9690	+	1.78027i	−0.497563	+	0.0807549i
$487$	−1.39655	+	8.81749i	−0.0632839	+	0.399559i	0.935631	+	0.352980i	$0.114832\pi$
$487$	−1.39655	+	8.81749i	−0.0632839	+	0.399559i	−0.998915	+	0.0465784i	$0.985168\pi$
$488$	−1.62577	−	9.55501i	−0.0735951	−	0.432535i
$489$	−0.521346	−	0.521346i	−0.0235761	−	0.0235761i
$490$	−7.74409	+	26.6066i	−0.349842	+	1.20196i
$491$		−	4.41751i		−	0.199359i	−0.995020	−	0.0996797i	$-0.968218\pi$
$491$		−	4.41751i		−	0.199359i	0.995020	−	0.0996797i	$-0.0317818\pi$
$492$	−14.4589	−	20.2453i	−0.651858	−	0.912728i
$493$	−15.8671	−	15.8671i	−0.714619	−	0.714619i
$494$	4.68782	−	6.50431i	0.210915	−	0.292643i
$495$	−2.29982	−	6.47540i	−0.103369	−	0.291047i
$496$	−0.593431	−	38.8521i	−0.0266458	−	1.74451i
$497$	−63.9559	−	10.1296i	−2.86881	−	0.454375i
$498$	6.45968	−	8.96276i	0.289465	−	0.401631i
$499$	5.33681	+	10.4741i	0.238908	+	0.468884i	0.979064	−	0.203551i	$-0.0652483\pi$
$499$	5.33681	+	10.4741i	0.238908	+	0.468884i	−0.740156	+	0.672435i	$0.765248\pi$
$500$	14.3442	−	17.1535i	0.641492	−	0.767130i
$501$			26.8586i			1.19995i
$502$	−11.6123	−	11.5239i	−0.518280	−	0.514337i
$503$	−21.7247	+	29.9014i	−0.968655	+	1.33324i	−0.0259317	+	0.999664i	$0.508255\pi$
$503$	−21.7247	+	29.9014i	−0.968655	+	1.33324i	−0.942723	+	0.333576i	$0.891745\pi$
$504$	−8.56824	+	1.45787i	−0.381660	+	0.0649388i
$505$	25.8113	−	19.8438i	1.14859	−	0.883036i
$506$	0.775531	+	0.119798i	0.0344765	+	0.00532569i
$507$	−14.2996	−	19.6817i	−0.635067	−	0.874095i
$508$	11.4605	−	1.90498i	0.508476	−	0.0845199i
$509$	29.9946	−	4.75068i	1.32949	−	0.210570i	0.549042	−	0.835795i	$-0.314993\pi$
$509$	29.9946	−	4.75068i	1.32949	−	0.210570i	0.780445	+	0.625225i	$0.214993\pi$
$510$	−18.4251	−	5.36280i	−0.815878	−	0.237469i
$511$	−1.65846	−	3.25490i	−0.0733658	−	0.143988i
$512$	22.4573	+	2.76977i	0.992480	+	0.122408i
$513$	−16.1143	−	31.6261i	−0.711463	−	1.39632i
$514$	35.6851	+	18.0112i	1.57400	+	0.794439i
$515$	−9.32930	+	7.17237i	−0.411098	+	0.316053i
$516$	−11.7696	−	1.77210i	−0.518129	−	0.0780125i
$517$	−10.0313	−	19.6875i	−0.441176	−	0.865856i
$518$	−3.73763	+	11.6545i	−0.164222	+	0.512068i
$519$	12.8130	+	12.8130i	0.562427	+	0.562427i
$520$	2.42954	−	3.63049i	0.106542	−	0.159207i
$521$	−3.14372	+	19.8486i	−0.137729	+	0.869585i	0.817975	+	0.575254i	$0.195097\pi$
$521$	−3.14372	+	19.8486i	−0.137729	+	0.869585i	−0.955704	+	0.294331i	$0.904903\pi$
$522$	0.0300224	+	7.86288i	0.00131404	+	0.344149i
$523$	−23.0315	+	3.64783i	−1.00710	+	0.159508i	−0.638125	−	0.769933i	$-0.720290\pi$
$523$	−23.0315	+	3.64783i	−1.00710	+	0.159508i	−0.368971	+	0.929441i	$0.620290\pi$
$524$	15.8860	+	5.02789i	0.693984	+	0.219645i
$525$	38.5078	−	2.08970i	1.68062	−	0.0912020i
$526$	16.3302	−	32.3546i	0.712030	−	1.41073i
$527$	28.8590	−	9.37684i	1.25712	−	0.408462i
$528$	−21.4813	+	22.1477i	−0.934854	+	0.963855i
$529$	−13.5076	−	18.5916i	−0.587286	−	0.808330i
$530$	−22.7861	−	15.5018i	−0.989767	−	0.673355i
$531$	3.00365	+	9.24429i	0.130347	+	0.401168i
$532$	−30.0315	−	57.8439i	−1.30203	−	2.50785i
$533$	2.54284	+	3.61858i	0.110143	+	0.156738i
$534$	13.1402	−	9.62380i	0.568633	−	0.416463i
$535$	−31.3895	+	24.1323i	−1.35709	+	1.04333i
$536$	1.15739	−	2.33732i	0.0499917	−	0.100957i
$537$	−2.01125	+	12.6985i	−0.0867916	+	0.547981i
$538$	7.46433	+	14.5123i	0.321810	+	0.625670i
$539$	−15.7959	+	31.0013i	−0.680379	+	1.33532i
$540$	−9.37320	−	16.9162i	−0.403358	−	0.727958i
$541$	−25.4499	+	35.0287i	−1.09417	+	1.50600i	−0.251287	+	0.967913i	$0.580854\pi$
$541$	−25.4499	+	35.0287i	−1.09417	+	1.50600i	−0.842888	+	0.538089i	$0.819146\pi$
$542$	2.42782	−	15.7168i	0.104284	−	0.675096i
$543$	4.59335	−	0.727515i	0.197119	−	0.0312206i
$544$	3.09691	+	17.3968i	0.132779	+	0.745882i
$545$	6.98087	−	10.1774i	0.299028	−	0.435953i
$546$	7.43671	−	1.20698i	0.318262	−	0.0516541i
$547$			0.0721726i			0.00308588i	0.999999	+	0.00154294i	$0.000491133\pi$
$547$			0.0721726i			0.00308588i	−0.999999	+	0.00154294i	$0.999509\pi$
$548$	32.7428	−	10.9159i	1.39871	−	0.466305i
$549$	−2.52241	−	0.819581i	−0.107654	−	0.0349789i
$550$	21.7186	−	17.7923i	0.926086	−	0.758667i
$551$	−56.0770	+	18.2205i	−2.38896	+	0.776220i
$552$	−0.767837	+	0.00879571i	−0.0326813	+	0.000374370i
$553$	12.5271	+	24.5858i	0.532706	+	1.04550i
$554$	1.32261	+	4.01829i	0.0561921	+	0.170721i
$555$	9.46549	−	0.256643i	0.401788	−	0.0108939i
$556$	0.000440024		0.0576204i	1.86612e−5		0.00244365i
$557$	−36.6840	−	26.6525i	−1.55435	−	1.12930i	−0.940455	−	0.339918i	$-0.889601\pi$
$557$	−36.6840	−	26.6525i	−1.55435	−	1.12930i	−0.613898	−	0.789386i	$-0.710399\pi$
$558$	−9.49223	−	4.79097i	−0.401838	−	0.202818i
$559$	2.08985	+	0.331000i	0.0883913	+	0.0139998i
$560$	−17.4477	−	30.9291i	−0.737300	−	1.30699i
$561$	−21.4685	−	10.9387i	−0.906399	−	0.461833i
$562$	1.71610	+	0.550360i	0.0723895	+	0.0232156i
$563$	0.361905	−	0.498120i	0.0152525	−	0.0209932i	−0.801323	−	0.598232i	$-0.795870\pi$
$563$	0.361905	−	0.498120i	0.0152525	−	0.0209932i	0.816575	+	0.577239i	$0.195870\pi$
$564$	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
$567$	13.1556	−	40.4889i	0.552485	−	1.70037i
$568$	37.0073	−	27.5405i	1.55279	−	1.15557i
$569$	−9.87258	+	7.17285i	−0.413880	+	0.300701i	−0.775171	−	0.631752i	$-0.782336\pi$
$569$	−9.87258	+	7.17285i	−0.413880	+	0.300701i	0.361291	+	0.932453i	$0.382336\pi$
$570$	−34.5354	+	36.7403i	−1.44653	+	1.53888i
$571$	12.8260	+	12.8260i	0.536753	+	0.536753i	0.922574	−	0.385821i	$-0.126082\pi$
$571$	12.8260	+	12.8260i	0.536753	+	0.536753i	−0.385821	+	0.922574i	$0.626082\pi$
$572$	3.84874	−	3.90798i	0.160924	−	0.163401i
$573$	−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
$577$		−	2.49024i		−	0.103670i	−0.998656	−	0.0518351i	$-0.983493\pi$
$577$		−	2.49024i		−	0.103670i	0.998656	−	0.0518351i	$-0.0165070\pi$
$578$	9.10827	−	4.68479i	0.378854	−	0.194862i
$579$	−9.87399	−	13.5904i	−0.410349	−	0.564797i
$580$	−30.1905	+	10.9829i	−1.25359	+	0.456039i
$581$	7.24827	+	14.2255i	0.300709	+	0.590174i
$582$	0.436337	−	0.439682i	0.0180868	−	0.0182254i
$583$	−24.4683	−	24.4683i	−1.01337	−	1.01337i
$584$	2.48414	+	0.775802i	0.102794	+	0.0321029i
$585$	−0.571359	−	1.04999i	−0.0236228	−	0.0434117i
$586$	−10.9841	−	21.3555i	−0.453748	−	0.882188i
$587$	10.7588	+	33.1122i	0.444063	+	1.36668i	0.883508	+	0.468416i	$0.155175\pi$
$587$	10.7588	+	33.1122i	0.444063	+	1.36668i	−0.439445	+	0.898269i	$0.644825\pi$
$588$	10.2735	−	32.4599i	0.423671	−	1.33862i
$589$	12.4730	−	78.7517i	0.513943	−	3.24491i
$590$	−31.3920	+	24.3254i	−1.29239	+	1.00146i
$591$	35.2494	−	5.58296i	1.44997	−	0.229652i
$592$	−4.07663	−	7.70753i	−0.167549	−	0.316778i
$593$	9.90861	+	3.21950i	0.406898	+	0.132209i	0.505313	−	0.862936i	$-0.331377\pi$
$593$	9.90861	+	3.21950i	0.406898	+	0.132209i	−0.0984148	+	0.995145i	$0.531377\pi$
$594$	−7.59188	−	23.0654i	−0.311499	−	0.946383i
$595$	19.0704	−	20.1333i	0.781810	−	0.825386i
$596$	6.98688	+	42.0334i	0.286194	+	1.72175i
$597$	18.0582	+	9.20109i	0.739071	+	0.376576i
$598$	0.136508		0.000521222i	0.00558224		2.13144e-5i
$599$	1.20763	−	3.71670i	0.0493424	−	0.151860i	−0.923349	−	0.383961i	$-0.874560\pi$
$599$	1.20763	−	3.71670i	0.0493424	−	0.151860i	0.972692	+	0.232100i	$0.0745598\pi$
$600$	−18.1100	+	20.6597i	−0.739339	+	0.843427i
$601$	−3.29591	−	3.29591i	−0.134443	−	0.134443i	0.636683	−	0.771126i	$-0.280306\pi$
$601$	−3.29591	−	3.29591i	−0.134443	−	0.134443i	−0.771126	+	0.636683i	$0.780306\pi$
$602$	10.0568	−	13.9538i	0.409886	−	0.568713i
$603$	−0.419505	−	0.577400i	−0.0170836	−	0.0235135i
$604$	−3.53118	+	23.4527i	−0.143682	+	0.954278i
$605$	9.35960	−	5.09309i	0.380522	−	0.207063i
$606$	−32.2723	+	23.6360i	−1.31097	+	0.960147i
$607$	−34.0267	+	5.38929i	−1.38110	+	0.218745i	−0.802395	−	0.596793i	$-0.796441\pi$
$607$	−34.0267	+	5.38929i	−1.38110	+	0.218745i	−0.578704	+	0.815538i	$0.696441\pi$
$608$	44.4245	+	13.5024i	1.80165	+	0.547595i
$609$	−49.3676	−	25.1540i	−2.00048	−	1.01929i
$610$	−0.335062	−	10.8312i	−0.0135663	−	0.438542i
$611$	−2.25929	−	3.10964i	−0.0914010	−	0.125803i
$612$	4.60994	+	1.45904i	0.186346	+	0.0589780i
$613$	14.6327	+	7.45572i	0.591009	+	0.301134i	0.723800	−	0.690010i	$-0.242394\pi$
$613$	14.6327	+	7.45572i	0.591009	+	0.301134i	−0.132791	+	0.991144i	$0.542394\pi$
$614$	−30.2733	+	22.1719i	−1.22173	+	0.894786i
$615$	−12.9078	−	24.6385i	−0.520492	−	0.993519i
$616$	−14.2632	−	42.2447i	−0.574679	−	1.70209i
$617$	7.22811	−	14.1860i	0.290993	−	0.571106i	−0.698513	−	0.715597i	$-0.746155\pi$
$617$	7.22811	−	14.1860i	0.290993	−	0.571106i	0.989506	+	0.144492i	$0.0461547\pi$
$618$	11.6646	−	8.54305i	0.469218	−	0.343652i
$619$	−12.5365	+	9.10827i	−0.503883	+	0.366092i	−0.810498	−	0.585741i	$-0.800803\pi$
$619$	−12.5365	+	9.10827i	−0.503883	+	0.366092i	0.306615	+	0.951833i	$0.400803\pi$
$620$	5.30142	−	43.1184i	0.212910	−	1.73168i
$621$	0.274366	−	0.538473i	0.0110099	−	0.0216082i
$622$	2.54308	+	7.72628i	0.101968	+	0.309796i
$623$	3.68206	+	23.2476i	0.147519	+	0.931395i
$624$	−3.08812	+	4.38989i	−0.123624	+	0.175736i
$625$	18.5165	−	16.7970i	0.740659	−	0.671881i
$626$	−8.20036	+	8.26322i	−0.327752	+	0.330265i
$627$	−51.2204	+	37.2138i	−2.04555	+	1.48618i
$628$	−15.2579	+	0.116518i	−0.608856	+	0.00464959i
$629$	4.81473	−	4.81473i	0.191976	−	0.191976i
$630$	−9.71262	+	0.300459i	−0.386960	+	0.0119706i
$631$	−7.87080	−	2.55738i	−0.313332	−	0.101808i	0.148130	−	0.988968i	$-0.452675\pi$
$631$	−7.87080	−	2.55738i	−0.313332	−	0.101808i	−0.461461	+	0.887160i	$0.652675\pi$
$632$	−18.7639	−	5.85999i	−0.746386	−	0.233098i
$633$	−21.0107	+	41.2358i	−0.835101	+	1.63898i
$634$	−19.9206	−	10.0544i	−0.791149	−	0.399313i
$635$	12.9842	−	0.352048i	0.515263	−	0.0139706i
$636$	27.5452	+	19.6931i	1.09224	+	0.780883i
$637$	−1.87035	+	5.75636i	−0.0741061	+	0.228075i
$638$	−39.8166	+	6.46227i	−1.57635	+	0.255844i
$639$	−1.97470	−	12.4678i	−0.0781179	−	0.493217i
$640$	24.4458	+	6.51162i	0.966306	+	0.257394i
$641$	−7.54825	−	1.19553i	−0.298138	−	0.0472204i	0.00557354	−	0.999984i	$-0.498226\pi$
$641$	−7.54825	−	1.19553i	−0.298138	−	0.0472204i	−0.303711	+	0.952764i	$0.598226\pi$
$642$	39.2468	−	28.7441i	1.54895	−	1.13444i
$643$	−44.1321	+	14.3394i	−1.74040	+	0.565491i	−0.994887	−	0.100998i	$-0.967796\pi$
$643$	−44.1321	+	14.3394i	−1.74040	+	0.565491i	−0.745515	+	0.666489i	$0.767796\pi$
$644$	0.496223	−	0.992558i	0.0195539	−	0.0391123i
$645$	−12.7627	−	3.76761i	−0.502530	−	0.148349i
$646$	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	$0.451513\pi$
$648$	14.0777	+	26.8638i	0.553023	+	1.05531i
$649$	−44.4297	+	22.6381i	−1.74402	+	0.888622i
$650$	3.24742	−	3.64803i	0.127374	−	0.143087i
$651$	60.6150	−	44.0394i	2.37569	−	1.72604i
$652$	−0.339428	+	0.678933i	−0.0132930	+	0.0265891i
$653$	−6.58136			−0.257549			−0.128774	−	0.991674i	$-0.541104\pi$
$653$	−6.58136			−0.257549			−0.128774	+	0.991674i	$0.541104\pi$
$654$	−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
$658$	−30.8422	+	5.00572i	−1.20235	+	0.195143i
$659$	1.77429	−	1.77429i	0.0691164	−	0.0691164i	−0.671704	−	0.740820i	$-0.734437\pi$
$659$	1.77429	−	1.77429i	0.0691164	−	0.0691164i	0.740820	+	0.671704i	$0.234437\pi$
$660$	−27.1865	+	21.2333i	−1.05823	+	0.826504i
$661$	15.7892	+	21.7320i	0.614128	+	0.845275i	0.996909	−	0.0785643i	$-0.0250336\pi$
$661$	15.7892	+	21.7320i	0.614128	+	0.845275i	−0.382781	+	0.923839i	$0.625034\pi$
$662$	5.85524	−	8.12410i	0.227570	−	0.315752i
$663$	−3.98629	−	1.29522i	−0.154815	−	0.0503024i
$664$	−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
$667$	−0.812184	−	0.590086i	−0.0314479	−	0.0228482i
$668$	26.2318	−	8.74525i	1.01494	−	0.338364i
$669$	5.48044	−	10.7560i	0.211886	−	0.415850i
$670$	1.64024	−	2.41099i	0.0633679	−	0.0931447i
$671$	2.12847	−	13.4386i	0.0821687	−	0.518793i
$672$	20.5464	+	38.4900i	0.792596	+	1.48479i
$673$	29.9211	−	41.1828i	1.15337	−	1.58748i	0.420212	−	0.907426i	$-0.361956\pi$
$673$	29.9211	−	41.1828i	1.15337	−	1.58748i	0.733160	−	0.680056i	$-0.238044\pi$
$674$	9.15641	−	12.7044i	0.352692	−	0.489357i
$675$	−7.78611	−	20.1717i	−0.299688	−	0.776407i
$676$	−14.5664	+	20.3743i	−0.560247	+	0.783629i
$677$	5.21570	−	2.65753i	0.200455	−	0.102137i	−0.350881	−	0.936420i	$-0.614118\pi$
$677$	5.21570	−	2.65753i	0.200455	−	0.102137i	0.551337	+	0.834283i	$0.314118\pi$
$678$	5.10991	+	15.5247i	0.196245	+	0.596224i
$679$	0.276623	+	0.851357i	0.0106158	+	0.0326721i
$680$	0.761633	+	19.7413i	0.0292073	+	0.757045i
$681$	7.27259	−	22.3827i	0.278686	−	0.857709i
$682$	16.6578	−	51.9414i	0.637859	−	1.98894i
$683$	36.8792			1.41114			0.705571	−	0.708639i	$-0.250691\pi$
$683$	36.8792			1.41114			0.705571	+	0.708639i	$0.250691\pi$
$684$	8.91525	−	9.05247i	0.340883	−	0.346130i
$685$	37.9357	−	7.06734i	1.44945	−	0.270029i
$686$	7.02577	+	6.97232i	0.268245	+	0.266205i
$687$	−3.24044	−	20.4593i	−0.123631	−	0.780572i
$688$	2.10149	+	12.0720i	0.0801184	+	0.460240i
$689$	−4.86990	−	3.53819i	−0.185528	−	0.134794i
$690$	−0.851702	−	0.108020i	−0.0324237	−	0.00411224i
$691$	19.2704	+	9.81874i	0.733079	+	0.373522i	0.780336	−	0.625360i	$-0.215048\pi$
$691$	19.2704	+	9.81874i	0.733079	+	0.373522i	−0.0472571	+	0.998883i	$0.515048\pi$
$692$	8.34202	−	16.6859i	0.317116	−	0.634304i
$693$	−12.0508	−	1.90866i	−0.457771	−	0.0725039i
$694$	3.84739	−	24.9066i	0.146045	−	0.945441i
$695$	−0.00834974	+	0.0638801i	−0.000316724	+	0.00242311i
$696$	37.3978	−	12.6267i	1.41756	−	0.478613i
$697$	−18.9226	−	6.48001i	−0.716746	−	0.245448i
$698$	−27.5950	−	4.26268i	−1.04449	−	0.161345i
$699$	15.9028	−	5.16713i	0.601498	−	0.195439i
$700$	−14.5792	−	36.9288i	−0.551043	−	1.39578i
$701$	−21.9708	+	15.9627i	−0.829825	+	0.602903i	−0.919510	−	0.393067i	$-0.871414\pi$
$701$	−21.9708	+	15.9627i	−0.829825	+	0.602903i	0.0896849	+	0.995970i	$0.471414\pi$
$702$	−1.93208	−	3.75639i	−0.0729216	−	0.141776i
$703$	−5.52885	−	17.0161i	−0.208525	−	0.641773i
$704$	28.6253	+	13.7686i	1.07885	+	0.518925i
$705$	11.5544	+	21.2335i	0.435163	+	0.799702i
$706$	16.1607	+	22.0656i	0.608216	+	0.830451i
$707$	−9.04312	−	57.0960i	−0.340101	−	2.14732i
$708$	39.2554	−	28.9813i	1.47531	−	1.08918i
$709$	43.5546	+	6.89838i	1.63573	+	0.259074i	0.905568	−	0.424201i	$-0.139445\pi$
$709$	43.5546	+	6.89838i	1.63573	+	0.259074i	0.730161	+	0.683275i	$0.239445\pi$
$710$	45.2081	−	24.8245i	1.69663	−	0.931645i
$711$	−3.80362	+	3.80362i	−0.142647	+	0.142647i
$712$	−13.6777	−	9.70004i	−0.512594	−	0.363524i
$713$	1.20959	−	0.616319i	0.0452996	−	0.0230813i
$714$	−24.0006	+	24.1846i	−0.898199	+	0.905085i
$715$	4.86170	−	3.73768i	0.181817	−	0.139781i
$716$	13.0570	−	2.17037i	0.487965	−	0.0811105i
$717$	−30.0266	+	15.2993i	−1.12136	+	0.571364i
$718$	−3.85431	+	7.63646i	−0.143842	+	0.284990i
$719$	42.0391	−	21.4200i	1.56780	−	0.798832i	0.568087	−	0.822969i	$-0.307684\pi$
$719$	42.0391	−	21.4200i	1.56780	−	0.798832i	0.999709	+	0.0241372i	$0.00768387\pi$
$720$	4.68325	−	5.09803i	0.174535	−	0.189992i
$721$	3.26856	+	20.6369i	0.121728	+	0.768558i
$722$	61.0684	+	30.8228i	2.27273	+	1.14710i
$723$	10.1210	−	7.35333i	0.376404	−	0.273473i
$724$	−2.20615	−	4.24928i	−0.0819909	−	0.157923i
$725$	−35.1193	+	7.53292i	−1.30430	+	0.279766i
$726$	−11.6423	+	5.98815i	−0.432086	+	0.222241i
$727$	19.7578	+	14.3549i	0.732775	+	0.532392i	0.890440	−	0.455100i	$-0.150397\pi$
$727$	19.7578	+	14.3549i	0.732775	+	0.532392i	−0.157665	+	0.987493i	$0.550397\pi$
$728$	−3.60024	−	6.87017i	−0.133434	−	0.254625i
$729$	−16.9037			−0.626062
$730$	2.63211	+	1.24016i	0.0974189	+	0.0459003i
$731$	−8.52611	+	4.34427i	−0.315350	+	0.160679i
$732$	0.101672	+	13.3137i	0.00375790	+	0.492090i
$733$	−2.17911	+	13.7584i	−0.0804873	+	0.508177i	0.914202	+	0.405258i	$0.132818\pi$
$733$	−2.17911	+	13.7584i	−0.0804873	+	0.508177i	−0.994690	+	0.102919i	$0.967182\pi$
$734$	−13.2410	+	41.2875i	−0.488735	+	1.52395i
$735$	16.3558	−	34.3725i	0.603292	−	1.26785i
$736$	0.258601	+	0.747055i	0.00953216	+	0.0275368i
$737$	2.58898	−	2.58898i	0.0953664	−	0.0953664i
$738$	3.10698	+	6.28232i	0.114369	+	0.231255i
$739$	15.7354			0.578835			0.289418	−	0.957203i	$-0.406538\pi$
$739$	15.7354			0.578835			0.289418	+	0.957203i	$0.406538\pi$
$740$	−3.33265	−	9.16104i	−0.122511	−	0.336767i
$741$	−7.78777	+	7.78777i	−0.286091	+	0.286091i
$742$	−43.5144	+	22.3814i	−1.59746	+	0.821646i
$743$	−41.3351	−	6.54683i	−1.51644	−	0.240180i	−0.657968	−	0.753046i	$-0.728584\pi$
$743$	−41.3351	−	6.54683i	−1.51644	−	0.240180i	−0.858469	+	0.512866i	$0.828584\pi$
$744$	−7.74550	+	52.8115i	−0.283964	+	1.93616i
$745$	1.29120	+	47.6220i	0.0473059	+	1.74474i
$746$	0.00445833	+	1.16764i	0.000163231	+	0.0427503i
$747$	−2.20080	+	2.20080i	−0.0805231	+	0.0805231i
$748$	−3.69325	+	24.5292i	−0.135039	+	0.896875i
$749$	10.9975	+	69.4352i	0.401838	+	2.53711i
$750$	−23.2247	+	20.1024i	−0.848047	+	0.734034i
$751$	−11.8872	+	23.3299i	−0.433770	+	0.851321i	0.565870	+	0.824494i	$0.308540\pi$
$751$	−11.8872	+	23.3299i	−0.433770	+	0.851321i	−0.999640	+	0.0268269i	$0.991460\pi$
$752$	12.8073	−	18.2062i	0.467036	−	0.663910i
$753$	13.2094	+	18.1812i	0.481377	+	0.662558i
$754$	−6.66526	+	2.19385i	−0.242734	+	0.0798951i
$755$	−7.50753	+	25.4315i	−0.273227	+	0.925548i
$756$	−34.3372	+	0.262219i	−1.24883	+	0.00953683i
$757$	10.3661	−	31.9034i	0.376761	−	1.15955i	−0.565523	−	0.824733i	$-0.691326\pi$
$757$	10.3661	−	31.9034i	0.376761	−	1.15955i	0.942283	−	0.334817i	$-0.108674\pi$
$758$	−11.4802	+	22.7455i	−0.416981	+	0.826155i
$759$	−1.02520	−	0.333109i	−0.0372126	−	0.0120911i
$760$	47.1278	+	21.7667i	1.70950	+	0.789561i
$761$	−1.41026	−	4.34035i	−0.0511221	−	0.157338i	0.922236	−	0.386627i	$-0.126360\pi$
$761$	−1.41026	−	4.34035i	−0.0511221	−	0.157338i	−0.973358	+	0.229289i	$0.926360\pi$
$762$	−15.9589	+	0.0609348i	−0.578128	+	0.00220743i
$763$	−9.94826	−	19.5246i	−0.360151	−	0.706837i
$764$	−17.9069	+	35.8179i	−0.647849	+	1.29585i
$765$	4.88158	+	2.32284i	0.176494	+	0.0839825i
$766$	−2.60101	−	16.0259i	−0.0939784	−	0.579038i
$767$	−7.01767	+	5.09864i	−0.253393	+	0.184101i
$768$	−29.8410	−	8.69778i	−1.07679	−	0.313854i
$769$	−16.8620	+	23.2085i	−0.608058	+	0.836920i	−0.996416	−	0.0845885i	$-0.973042\pi$
$769$	−16.8620	+	23.2085i	−0.608058	+	0.836920i	0.388358	+	0.921509i	$0.373042\pi$
$770$	−9.31701	−	48.9721i	−0.335762	−	1.76483i
$771$	−44.4229	−	32.2751i	−1.59985	−	1.16236i
$772$	−10.0582	+	14.0687i	−0.362004	+	0.506342i
$773$	−24.5241	+	7.96837i	−0.882071	+	0.286602i	−0.714817	−	0.699312i	$-0.753490\pi$
$773$	−24.5241	+	7.96837i	−0.882071	+	0.286602i	−0.167254	+	0.985914i	$0.553490\pi$
$774$	3.19289	+	1.02397i	0.114766	+	0.0368059i
$775$	12.4841	−	46.9390i	0.448440	−	1.68610i
$776$	−0.571495	−	0.282993i	−0.0205155	−	0.0101589i
$777$	7.63277	−	14.9802i	0.273824	−	0.537410i
$778$	38.2377	+	5.90668i	1.37089	+	0.211765i
$779$	−37.7445	+	36.5723i	−1.35234	+	1.31034i
$780$	−4.09325	+	4.38803i	−0.146562	+	0.157117i
$781$	61.5886	−	20.0114i	2.20381	−	0.716063i
$782$	−0.498064	+	0.364778i	−0.0178107	+	0.0130445i
$783$	−4.85966	+	30.6827i	−0.173670	+	1.09651i
$784$	−35.0475	+	0.535318i	−1.25169	+	0.0191185i
$785$	−16.9155	−	2.21101i	−0.603739	−	0.0789144i
$786$	−20.4339	−	10.3135i	−0.728854	−	0.367871i
$787$	11.2417	−	1.78050i	0.400722	−	0.0634681i	0.0471791	−	0.998886i	$-0.484977\pi$
$787$	11.2417	−	1.78050i	0.400722	−	0.0634681i	0.353543	+	0.935418i	$0.384977\pi$
$788$	−16.9300	−	32.6090i	−0.603107	−	1.16165i
$789$	−29.2629	+	40.2769i	−1.04179	+	1.43390i
$790$	−19.8816	−	9.36749i	−0.707355	−	0.333280i
$791$	−23.3283	−	3.69484i	−0.829460	−	0.131373i
$792$	6.97304	−	5.18928i	0.247776	−	0.184393i
$793$		−	2.36689i		−	0.0840507i
$794$	14.3753	+	27.9487i	0.510159	+	0.991863i
$795$	27.4850	+	26.0339i	0.974793	+	0.923329i
$796$	3.10657	−	20.6327i	0.110110	−	0.731306i
$797$	17.4027	+	8.86711i	0.616434	+	0.314089i	0.734180	−	0.678955i	$-0.237567\pi$
$797$	17.4027	+	8.86711i	0.616434	+	0.314089i	−0.117746	+	0.993044i	$0.537567\pi$
$798$	27.9911	+	85.0415i	0.990874	+	3.01044i
$799$	16.5323	+	5.37168i	0.584872	+	0.190036i
$800$	26.0742	+	10.9606i	0.921864	+	0.387515i
$801$	−4.08834	+	2.08311i	−0.144454	+	0.0736032i
$802$	−20.4574	+	3.32026i	−0.722377	+	0.117242i
$803$	2.95562	+	2.14738i	0.104302	+	0.0757795i
$804$	−2.08372	+	2.91454i	−0.0734871	+	0.102788i
$805$	0.701775	−	1.02312i	0.0247343	−	0.0360602i
$806$	1.44859	−	9.37765i	0.0510245	−	0.330314i
$807$	−6.92742	−	21.3204i	−0.243857	−	0.750514i
$808$	33.5924	+	23.8232i	1.18178	+	0.838099i
$809$	−4.94653	−	31.2312i	−0.173911	−	1.09803i	−0.907998	−	0.418975i	$-0.862390\pi$
$809$	−4.94653	−	31.2312i	−0.173911	−	1.09803i	0.734087	−	0.679055i	$-0.237610\pi$
$810$	11.4705	+	31.9097i	0.403033	+	1.12119i
$811$	−12.6378			−0.443772			−0.221886	−	0.975073i	$-0.571221\pi$
$811$	−12.6378			−0.443772			−0.221886	+	0.975073i	$0.571221\pi$
$812$	−8.49278	+	56.4058i	−0.298038	+	1.97946i
$813$	−6.75076	+	20.7767i	−0.236759	+	0.728671i
$814$	−1.96092	−	12.0820i	−0.0687301	−	0.423474i
$815$	−0.480030	+	0.699837i	−0.0168147	+	0.0245142i
$816$	−0.370709	−	24.2704i	−0.0129774	−	0.849636i
$817$			25.1441i			0.879680i
$818$	−37.4447	+	6.07731i	−1.30922	+	0.212488i
$819$	−2.12245			−0.0741645
$820$	−19.8607	+	20.6289i	−0.693565	+	0.720394i
$821$	3.00487			0.104871			0.0524353	−	0.998624i	$-0.483302\pi$
$821$	3.00487			0.104871			0.0524353	+	0.998624i	$0.483302\pi$
$822$	−46.7994	+	7.59558i	−1.63232	+	0.264926i
$823$		−	1.32646i		−	0.0462375i	−0.999733	−	0.0231187i	$-0.992640\pi$
$823$		−	1.32646i		−	0.0462375i	0.999733	−	0.0231187i	$-0.00735958\pi$
$824$	−12.1417	−	8.61073i	−0.422977	−	0.299969i
$825$	−33.3646	+	19.3456i	−1.16161	+	0.673528i
$826$	11.2966	+	69.6030i	0.393060	+	2.42180i
$827$	3.31439	−	10.2006i	0.115253	−	0.354711i	−0.876747	−	0.480952i	$-0.840291\pi$
$827$	3.31439	−	10.2006i	0.115253	−	0.354711i	0.992000	+	0.126241i	$0.0402912\pi$
$828$	0.213915	+	0.0322083i	0.00743407	+	0.00111932i
$829$	−28.5887			−0.992928			−0.496464	−	0.868057i	$-0.665368\pi$
$829$	−28.5887			−0.992928			−0.496464	+	0.868057i	$0.665368\pi$
$830$	−11.5036	−	5.42009i	−0.399297	−	0.188134i
$831$	−0.909064	−	5.73960i	−0.0315351	−	0.199105i
$832$	5.29295	+	1.58669i	0.183500	+	0.0550087i
$833$	−8.45860	−	26.0329i	−0.293073	−	0.901986i
$834$	0.0120838	−	0.0782263i	0.000418429	−	0.00270876i
$835$	30.3920	−	5.66197i	1.05176	−	0.195941i
$836$	53.0230	+	37.9082i	1.83384	+	1.31108i
$837$	−33.9854	−	24.6919i	−1.17471	−	0.853475i
$838$	1.79506	−	0.291340i	0.0620095	−	0.0100642i
$839$	24.0486	−	12.2534i	0.830252	−	0.423034i	0.0134196	−	0.999910i	$-0.495728\pi$
$839$	24.0486	−	12.2534i	0.830252	−	0.423034i	0.816832	+	0.576876i	$0.195728\pi$
$840$	16.8514	+	45.7775i	0.581428	+	1.57947i
$841$	21.4981	+	6.98517i	0.741315	+	0.240868i
$842$	−1.81408	−	5.51146i	−0.0625173	−	0.189938i
$843$	−2.20581	−	1.12391i	−0.0759720	−	0.0387096i
$844$	47.1147	+	7.09386i	1.62176	+	0.244181i
$845$	−19.2565	+	20.3299i	−0.662445	+	0.699369i
$846$	−2.78603	−	5.41666i	−0.0957856	−	0.186229i
$847$		−	18.9195i		−	0.650083i
$848$	10.2648	−	33.3145i	0.352493	−	1.14403i
$849$	18.5415	+	2.93669i	0.636344	+	0.100787i
$850$	−2.18418	+	21.9796i	−0.0749167	+	0.753895i
$851$	0.179056	−	0.246450i	0.00613798	−	0.00844820i
$852$	−56.2402	+	29.1989i	−1.92676	+	1.00034i
$853$	−39.7996	+	6.30363i	−1.36271	+	0.215832i	−0.794607	−	0.607124i	$-0.792323\pi$
$853$	−39.7996	+	6.30363i	−1.36271	+	0.215832i	−0.568104	+	0.822957i	$0.692323\pi$
$854$	−17.1766	−	8.66948i	−0.587773	−	0.296664i
$855$	11.2617	−	8.65799i	0.385141	−	0.296097i
$856$	−40.8522	−	28.9718i	−1.39630	−	0.990235i
$857$	−5.64875	+	35.6648i	−0.192958	+	1.21829i	0.680999	+	0.732284i	$0.261546\pi$
$857$	−5.64875	+	35.6648i	−0.192958	+	1.21829i	−0.873957	+	0.486003i	$0.838454\pi$
$858$	−6.07867	+	4.45197i	−0.207522	+	0.151988i
$859$	−4.72695	+	1.53588i	−0.161282	+	0.0524036i	−0.388545	−	0.921430i	$-0.627022\pi$
$859$	−4.72695	+	1.53588i	−0.161282	+	0.0524036i	0.227263	+	0.973833i	$0.427022\pi$
$860$	0.475883	+	13.6916i	0.0162275	+	0.466879i
$861$	−49.3805	−	0.778872i	−1.68288	−	0.0265439i
$862$	34.6780	+	5.35681i	1.18114	+	0.182454i
$863$	20.2514	−	39.7457i	0.689367	−	1.35296i	−0.235202	−	0.971946i	$-0.575575\pi$
$863$	20.2514	−	39.7457i	0.689367	−	1.35296i	0.924570	−	0.381013i	$-0.124425\pi$
$864$	16.9644	−	17.6248i	0.577140	−	0.599608i
$865$	11.7976	−	17.1997i	0.401129	−	0.584807i
$866$	22.2816	+	7.14580i	0.757161	+	0.242824i
$867$	−13.3812	+	4.34781i	−0.454449	+	0.147659i
$868$	−62.7482	−	44.8611i	−2.12981	−	1.52269i
$869$	−22.3252	−	16.2202i	−0.757330	−	0.550232i
$870$	43.3533	−	8.24803i	1.46981	−	0.279635i
$871$	0.374374	−	0.515282i	0.0126852	−	0.0174597i
$872$	14.9011	+	4.65365i	0.504616	+	0.157593i
$873$	−0.141179	+	0.102573i	−0.00477820	+	0.00347156i
$874$	0.259883	+	1.60124i	0.00879067	+	0.0541628i
$875$	−10.4823	−	43.1333i	−0.354367	−	1.45817i
$876$	−3.19760	−	1.59862i	−0.108037	−	0.0540123i
$877$	5.26635	+	10.3358i	0.177832	+	0.349015i	0.962666	−	0.270691i	$-0.0872520\pi$
$877$	5.26635	+	10.3358i	0.177832	+	0.349015i	−0.784834	+	0.619706i	$0.787252\pi$
$878$	11.2875	−	0.0430986i	0.380936	−	0.00145451i
$879$	10.1940	+	31.3739i	0.343835	+	1.05822i
$880$	29.5898	+	19.6385i	0.997472	+	0.662012i
$881$	40.0275	+	13.0057i	1.34856	+	0.438174i	0.892208	−	0.451626i	$-0.149156\pi$
$881$	40.0275	+	13.0057i	1.34856	+	0.438174i	0.456352	+	0.889799i	$0.349156\pi$
$882$	−4.32180	+	8.56269i	−0.145523	+	0.288321i
$883$	3.55226	−	10.9327i	0.119543	−	0.367915i	−0.873325	−	0.487139i	$-0.838041\pi$
$883$	3.55226	−	10.9327i	0.119543	−	0.367915i	0.992867	+	0.119224i	$0.0380405\pi$
$884$	0.0329519	+	4.31500i	0.00110829	+	0.145129i
$885$	47.9187	−	26.0753i	1.61077	−	0.876511i
$886$	−1.55130	+	0.510605i	−0.0521170	+	0.0171541i
$887$	6.30480	+	8.67781i	0.211694	+	0.291372i	0.901639	−	0.432490i	$-0.142365\pi$
$887$	6.30480	+	8.67781i	0.211694	+	0.291372i	−0.689944	+	0.723863i	$0.742365\pi$
$888$	3.83146	+	11.3480i	0.128575	+	0.380815i
$889$	10.4702	−	20.5489i	0.351159	−	0.689189i
$890$	−13.6599	−	12.8402i	−0.457882	−	0.430403i
$891$	6.66033	+	42.0517i	0.223129	+	1.40878i
$892$	−12.2894	−	1.85037i	−0.411480	−	0.0619548i
$893$	32.2982	−	32.2982i	1.08082	−	1.08082i
$894$	−0.223490	−	58.5321i	−0.00747461	−	1.95761i
$895$	14.7931	−	0.401092i	0.494478	−	0.0134070i
$896$	30.9018	−	32.5995i	1.03236	−	1.08907i
$897$	−0.185211	−	0.0293346i	−0.00618402	−	0.000979452i
$898$	−37.6022	+	19.3405i	−1.25480	+	0.645400i
$899$	−49.3440	+	49.3440i	−1.64571	+	1.64571i
$900$	5.96841	−	4.92764i	0.198947	−	0.164255i
$901$	27.2231			0.906932
$902$	−29.3387	+	20.7846i	−0.976871	+	0.692051i
$903$	−16.7072	+	16.7072i	−0.555980	+	0.555980i
$904$	13.4986	−	10.0456i	0.448958	−	0.334111i
$905$	−1.79153	−	5.04427i	−0.0595526	−	0.167677i
$906$	9.94927	−	31.0233i	0.330542	−	1.03068i
$907$	6.35970	−	40.1535i	0.211170	−	1.33328i	−0.623196	−	0.782066i	$-0.714166\pi$
$907$	6.35970	−	40.1535i	0.211170	−	1.33328i	0.834366	−	0.551211i	$-0.185834\pi$
$908$	−24.2284	+	0.185023i	−0.804048	+	0.00614019i
$909$	10.0409	−	5.11612i	0.333037	−	0.169691i
$910$	−2.93348	−	8.16063i	−0.0972440	−	0.270522i
$911$	12.8587			0.426028			0.213014	−	0.977049i	$-0.431672\pi$
$911$	12.8587			0.426028			0.213014	+	0.977049i	$0.431672\pi$
$912$	−57.2652	−	28.0848i	−1.89624	−	0.929982i
$913$	−12.9175	−	9.38512i	−0.427507	−	0.310602i
$914$	−41.5908	+	21.3920i	−1.37570	+	0.707585i
$915$	−1.92929	+	14.7601i	−0.0637803	+	0.487954i
$916$	−18.9268	+	9.82646i	−0.625359	+	0.324675i
$917$	26.7603	−	19.4425i	0.883703	−	0.642048i
$918$	17.0544	+	8.60777i	0.562878	+	0.284099i
$919$	−7.54866	−	47.6604i	−0.249007	−	1.57217i	−0.722498	−	0.691373i	$-0.757006\pi$
$919$	−7.54866	−	47.6604i	−0.249007	−	1.57217i	0.473491	−	0.880799i	$-0.342994\pi$
$920$	0.171818	+	0.866998i	0.00566468	+	0.0285841i
$921$	45.9279	−	23.4014i	1.51338	−	0.771104i
$922$	−10.5457	+	20.8939i	−0.347303	+	0.688103i
$923$	10.0373	−	5.11427i	0.330382	−	0.168338i
$924$	10.0431	+	60.4200i	0.330395	+	1.98767i
$925$	−2.28580	−	10.6566i	−0.0751565	−	0.350388i
$926$	2.18177	−	2.19849i	0.0716973	−	0.0722469i
$927$	−3.62922	+	1.84918i	−0.119199	+	0.0607351i
$928$	−24.5089	−	32.4138i	−0.804544	−	1.06404i
$929$	−11.0249	+	11.0249i	−0.361714	+	0.361714i	−0.864444	−	0.502730i	$-0.832329\pi$
$929$	−11.0249	+	11.0249i	−0.361714	+	0.361714i	0.502730	+	0.864444i	$0.332329\pi$
$930$	−16.6774	+	57.2990i	−0.546873	+	1.87891i
$931$	−71.0398	−	11.2516i	−2.32823	−	0.368756i
$932$	−10.2246	−	13.8492i	−0.334916	−	0.453647i
$933$	−1.74793	−	11.0360i	−0.0572245	−	0.361302i
$934$	9.33330	+	12.7436i	0.305395	+	0.416983i
$935$	−7.85210	+	26.5988i	−0.256791	+	0.869873i
$936$	1.05686	−	1.08136i	0.0345446	−	0.0353452i
$937$	11.7731	+	36.2338i	0.384609	+	1.18371i	0.936763	+	0.349964i	$0.113806\pi$
$937$	11.7731	+	36.2338i	0.384609	+	1.18371i	−0.552154	+	0.833742i	$0.686194\pi$
$938$	−2.36816	−	4.60424i	−0.0773232	−	0.150334i
$939$	12.9376	−	9.39973i	0.422203	−	0.306749i
$940$	16.9759	−	18.1985i	0.553693	−	0.593569i
$941$	−14.2604	+	4.63348i	−0.464875	+	0.151047i	−0.532084	−	0.846692i	$-0.678591\pi$
$941$	−14.2604	+	4.63348i	−0.464875	+	0.151047i	0.0672083	+	0.997739i	$0.478591\pi$
$942$	20.7143	+	3.19980i	0.674910	+	0.104255i
$943$	−0.881505	−	0.153905i	−0.0287058	−	0.00501184i
$944$	−41.0867	−	28.9029i	−1.33726	−	0.940710i
$945$	−38.0675	−	4.97578i	−1.23833	−	0.161862i
$946$	−2.62602	+	16.9999i	−0.0853794	+	0.552715i
$947$	33.1994	+	5.25827i	1.07884	+	0.170871i	0.670462	−	0.741944i	$-0.266096\pi$
$947$	33.1994	+	5.25827i	1.07884	+	0.170871i	0.408374	+	0.912815i	$0.366096\pi$
$948$	24.1529	+	12.0751i	0.784451	+	0.392181i
$949$	0.566258	+	0.288523i	0.0183815	+	0.00936586i
$950$	48.8541	+	31.3337i	1.58504	+	1.01660i
$951$	24.7984	+	18.0171i	0.804142	+	0.584244i
$952$	31.4349	+	15.5659i	1.01881	+	0.504495i
$953$	3.90712	+	24.6686i	0.126564	+	0.799094i	0.966549	+	0.256483i	$0.0825639\pi$
$953$	3.90712	+	24.6686i	0.126564	+	0.799094i	−0.839985	+	0.542610i	$0.817436\pi$
$954$	−6.77089	−	6.71938i	−0.219216	−	0.217548i
$955$	−25.3245	+	36.9207i	−0.819483	+	1.19473i
$956$	24.7191	+	24.3444i	0.799472	+	0.787354i
$957$	55.4108			1.79118
$958$	−3.12255	+	9.73656i	−0.100885	+	0.314574i
$959$	21.1725	−	65.1622i	0.683695	−	2.10420i
$960$	−31.7139	−	14.2091i	−1.02356	−	0.458597i
$961$	−19.5808	−	60.2636i	−0.631640	−	1.94399i
$962$	−0.665703	−	2.02251i	−0.0214631	−	0.0652085i
$963$	−12.2109	+	6.22178i	−0.393492	+	0.200494i
$964$	−10.4772	−	7.49054i	−0.337447	−	0.241254i
$965$	−13.2968	+	14.0379i	−0.428039	+	0.451897i
$966$	−0.891277	+	1.23664i	−0.0286764	+	0.0397882i
$967$	−30.6467	+	42.1816i	−0.985533	+	1.35647i	−0.0517377	+	0.998661i	$0.516476\pi$
$967$	−30.6467	+	42.1816i	−0.985533	+	1.35647i	−0.933795	+	0.357809i	$0.883524\pi$
$968$	9.63919	+	9.42086i	0.309815	+	0.302798i
$969$	7.79176	−	49.1952i	0.250307	−	1.58038i
$970$	−0.589509	−	0.401053i	−0.0189280	−	0.0128770i
$971$	−4.66908	+	9.16358i	−0.149838	+	0.294073i	−0.953709	−	0.300730i	$-0.902770\pi$
$971$	−4.66908	+	9.16358i	−0.149838	+	0.294073i	0.803872	+	0.594803i	$0.202770\pi$
$972$	−4.97034	−	14.9088i	−0.159424	−	0.478199i
$973$	0.0925411	+	0.0672351i	0.00296673	+	0.00215546i
$974$	−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
$977$	21.4928	+	6.98344i	0.687616	+	0.223420i	0.631927	−	0.775028i	$-0.282264\pi$
$977$	21.4928	+	6.98344i	0.687616	+	0.223420i	0.0556892	+	0.998448i	$0.482264\pi$
$978$	0.609654	−	0.845890i	0.0194946	−	0.0270486i
$979$	−13.8360	−	19.0436i	−0.442200	−	0.608637i
$980$	−38.8959	−	4.78227i	−1.24248	−	0.152764i
$981$	3.02060	−	3.02060i	0.0964405	−	0.0964405i
$982$	6.16661	−	1.00085i	0.196784	−	0.0319383i
$983$	1.46022	−	1.46022i	0.0465738	−	0.0465738i	−0.683436	−	0.730010i	$-0.739515\pi$
$983$	1.46022	−	1.46022i	0.0465738	−	0.0465738i	0.730010	+	0.683436i	$0.239515\pi$
$984$	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
$987$	42.9216			1.36621
$988$	10.1418	+	5.07031i	0.322653	+	0.161308i
$989$	−0.346347	+	0.251636i	−0.0110132	+	0.00800156i
$990$	8.51826	−	4.67751i	0.270728	−	0.148661i
$991$	49.7909	−	25.3697i	1.58166	−	0.805896i	0.581689	−	0.813411i	$-0.302392\pi$
$991$	49.7909	−	25.3697i	1.58166	−	0.805896i	0.999972	+	0.00751489i	$0.00239209\pi$
$992$	54.1011	−	9.63087i	1.71771	−	0.305780i
$993$	−9.72719	+	9.72719i	−0.308683	+	0.308683i
$994$	−0.349652	−	91.5740i	−0.0110903	−	2.90455i
$995$	6.60479	−	22.3735i	0.209386	−	0.709288i
$996$	13.9751	+	6.98674i	0.442817	+	0.221383i
$997$	−16.1288	+	5.24057i	−0.510804	+	0.165970i	−0.553068	−	0.833136i	$-0.686543\pi$
$997$	−16.1288	+	5.24057i	−0.510804	+	0.165970i	0.0422637	+	0.999106i	$0.486543\pi$
$998$	−13.4121	+	9.82295i	−0.424554	+	0.310940i
$999$	−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.bk.c.43.68	yes	960
4.3	odd	2	inner	820.2.bk.c.43.19	✓	960
5.2	odd	4		820.2.bv.c.207.7	yes	960
20.7	even	4		820.2.bv.c.207.44	yes	960
41.21	even	20		820.2.bv.c.103.44	yes	960
164.103	odd	20		820.2.bv.c.103.7	yes	960
205.62	odd	20	inner	820.2.bk.c.267.19	yes	960
820.267	even	20	inner	820.2.bk.c.267.68	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.19	✓	960	4.3	odd	2	inner
820.2.bk.c.43.68	yes	960	1.1	even	1	trivial
820.2.bk.c.267.19	yes	960	205.62	odd	20	inner
820.2.bk.c.267.68	yes	960	820.267	even	20	inner
820.2.bv.c.103.7	yes	960	164.103	odd	20
820.2.bv.c.103.44	yes	960	41.21	even	20
820.2.bv.c.207.7	yes	960	5.2	odd	4
820.2.bv.c.207.44	yes	960	20.7	even	4

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.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.226563 + 1.39595i) q^{2} -1.94267i q^{3} +(-1.89734 + 0.632541i) q^{4} +(-2.19825 + 0.409529i) q^{5} +(2.71187 - 0.440138i) q^{6} +(-1.22687 + 3.77593i) q^{7} +(-1.31286 - 2.50527i) q^{8} -0.773974 q^{9} +(-1.06972 - 2.97585i) q^{10} +(-0.621132 - 3.92167i) q^{11} +(1.22882 + 3.68590i) q^{12} +(-0.213440 - 0.656902i) q^{13} +(-5.54897 - 0.857164i) q^{14} +(0.795580 + 4.27047i) q^{15} +(3.19978 - 2.40029i) q^{16} +(2.52712 + 1.83606i) q^{17} +(-0.175354 - 1.08043i) q^{18} +(7.31333 - 3.72633i) q^{19} +(3.91177 - 2.16750i) q^{20} +(7.33540 + 2.38341i) q^{21} +(5.33372 - 1.75558i) q^{22} +(0.124519 + 0.0634454i) q^{23} +(-4.86692 + 2.55046i) q^{24} +(4.66457 - 1.80049i) q^{25} +(0.868643 - 0.446782i) q^{26} -4.32444i q^{27} +(-0.0606367 - 7.94027i) q^{28} +(-7.09518 - 1.12377i) q^{29} +(-5.78110 + 2.07812i) q^{30} +(5.70984 - 7.85892i) q^{31} +(4.07563 + 3.92291i) q^{32} +(-7.61852 + 1.20666i) q^{33} +(-1.99049 + 3.94372i) q^{34} +(1.15062 - 8.80287i) q^{35} +(1.46849 - 0.489570i) q^{36} +(0.340997 - 2.15297i) q^{37} +(6.85869 + 9.36478i) q^{38} +(-1.27615 + 0.414645i) q^{39} +(3.91197 + 4.96955i) q^{40} +(-6.12018 + 1.88239i) q^{41} +(-1.66519 + 10.7798i) q^{42} +(-1.39075 + 2.72949i) q^{43} +(3.65912 + 7.04785i) q^{44} +(1.70138 - 0.316964i) q^{45} +(-0.0603551 + 0.188196i) q^{46} +(5.29255 - 1.71965i) q^{47} +(-4.66297 - 6.21613i) q^{48} +(-7.08932 - 5.15070i) q^{49} +(3.57021 + 6.10357i) q^{50} +(3.56687 - 4.90937i) q^{51} +(0.820486 + 1.11136i) q^{52} +(7.05059 - 5.12255i) q^{53} +(6.03669 - 0.979760i) q^{54} +(2.97144 + 8.36643i) q^{55} +(11.0705 - 1.88362i) q^{56} +(-7.23904 - 14.2074i) q^{57} +(-0.0387900 - 10.1591i) q^{58} +(-3.88082 - 11.9439i) q^{59} +(-4.21073 - 7.59929i) q^{60} +(3.25904 + 1.05893i) q^{61} +(12.2643 + 6.19009i) q^{62} +(0.949569 - 2.92247i) q^{63} +(-4.55279 + 6.57815i) q^{64} +(0.738215 + 1.35662i) q^{65} +(-3.41051 - 10.3617i) q^{66} +(0.542015 + 0.746020i) q^{67} +(-5.95620 - 1.88512i) q^{68} +(0.123254 - 0.241899i) q^{69} +(12.5490 - 0.388204i) q^{70} +(2.55138 + 16.1088i) q^{71} +(1.01612 + 1.93902i) q^{72} +(-0.650616 + 0.650616i) q^{73} +(3.08269 - 0.0117705i) q^{74} +(-3.49776 - 9.06173i) q^{75} +(-11.5188 + 11.6961i) q^{76} +(15.5700 + 2.46605i) q^{77} +(-0.867950 - 1.68749i) q^{78} +(4.91440 - 4.91440i) q^{79} +(-6.05092 + 6.58683i) q^{80} -10.7229 q^{81} +(-4.01432 - 8.11697i) q^{82} +(2.84351 - 2.84351i) q^{83} +(-15.4253 + 0.117797i) q^{84} +(-6.30716 - 3.00119i) q^{85} +(-4.12532 - 1.32300i) q^{86} +(-2.18311 + 13.7836i) q^{87} +(-9.00940 + 6.70472i) q^{88} +(5.28228 - 2.69145i) q^{89} +(0.827937 + 2.30323i) q^{90} +2.74228 q^{91} +(-0.276386 - 0.0416142i) q^{92} +(-15.2673 - 11.0923i) q^{93} +(3.59964 + 6.99851i) q^{94} +(-14.5505 + 11.1864i) q^{95} +(7.62093 - 7.91761i) q^{96} +(0.182409 - 0.132528i) q^{97} +(5.58392 - 11.0633i) q^{98} +(0.480740 + 3.03527i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} - 22 q^{8} - 960 q^{9} + 20 q^{12} + 12 q^{13} + 8 q^{14} - 28 q^{16} - 52 q^{17} + 12 q^{18} + 14 q^{20} - 40 q^{21} + 18 q^{22} + 48 q^{24} - 4 q^{25} - 20 q^{26}+ \cdots + 42 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 - 22 * q^8 - 960 * q^9 + 20 * q^12 + 12 * q^13 + 8 * q^14 - 28 * q^16 - 52 * q^17 + 12 * q^18 + 14 * q^20 - 40 * q^21 + 18 * q^22 + 48 * q^24 - 4 * q^25 - 20 * q^26 - 2 * q^28 + 30 * q^30 + 16 * q^33 + 20 * q^34 - 100 * q^36 - 112 * q^37 - 36 * q^38 - 16 * q^40 - 24 * q^41 - 104 * q^42 + 20 * q^45 - 20 * q^46 + 12 * q^48 - 224 * q^49 + 12 * q^50 + 190 * q^52 + 12 * q^53 + 52 * q^54 + 96 * q^56 + 48 * q^57 - 10 * q^58 + 14 * q^60 - 40 * q^61 - 10 * q^62 + 120 * q^64 - 92 * q^65 - 12 * q^66 + 104 * q^69 - 120 * q^70 + 36 * q^72 + 72 * q^73 + 28 * q^74 - 40 * q^76 + 36 * q^77 + 16 * q^78 - 130 * q^80 + 592 * q^81 + 146 * q^82 + 92 * q^84 + 112 * q^85 - 12 * q^86 + 100 * q^88 - 136 * q^89 - 136 * q^90 + 160 * q^92 - 24 * q^93 + 32 * q^94 - 44 * q^96 - 72 * q^97 + 42 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more