LMFDB - Embedded newform 820.2.bk.c.43.19

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			43.19
Character	$\chi$	$=$	820.43
Dual form			820.2.bk.c.267.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.26252 + 0.637224i) q^{2} +1.94267i q^{3} +(1.18789 - 1.60901i) q^{4} +(-2.19825 + 0.409529i) q^{5} +(-1.23792 - 2.45265i) q^{6} +(1.22687 - 3.77593i) q^{7} +(-0.474434 + 2.78835i) q^{8} -0.773974 q^{9} +(2.51436 - 1.91781i) q^{10} +(0.621132 + 3.92167i) q^{11} +(3.12578 + 2.30768i) q^{12} +(-0.213440 - 0.656902i) q^{13} +(0.857164 + 5.54897i) q^{14} +(-0.795580 - 4.27047i) q^{15} +(-1.17782 - 3.82266i) q^{16} +(2.52712 + 1.83606i) q^{17} +(0.977154 - 0.493194i) q^{18} +(-7.31333 + 3.72633i) q^{19} +(-1.95234 + 4.02348i) q^{20} +(7.33540 + 2.38341i) q^{21} +(-3.28317 - 4.55537i) q^{22} +(-0.124519 - 0.0634454i) q^{23} +(-5.41685 - 0.921669i) q^{24} +(4.66457 - 1.80049i) q^{25} +(0.688065 + 0.693340i) q^{26} +4.32444i q^{27} +(-4.61812 - 6.45945i) q^{28} +(-7.09518 - 1.12377i) q^{29} +(3.72568 + 4.88457i) q^{30} +(-5.70984 + 7.85892i) q^{31} +(3.92291 + 4.07563i) q^{32} +(-7.61852 + 1.20666i) q^{33} +(-4.36052 - 0.707716i) q^{34} +(-1.15062 + 8.80287i) q^{35} +(-0.919397 + 1.24533i) q^{36} +(0.340997 - 2.15297i) q^{37} +(6.85869 - 9.36478i) 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} +(1.39075 - 2.72949i) q^{43} +(7.04785 + 3.65912i) q^{44} +(1.70138 - 0.316964i) q^{45} +(0.197636 + 0.000754621i) q^{46} +(-5.29255 + 1.71965i) q^{47} +(7.42617 - 2.28813i) q^{48} +(-7.08932 - 5.15070i) q^{49} +(-4.74178 + 5.24552i) q^{50} +(-3.56687 + 4.90937i) q^{51} +(-1.31051 - 0.436901i) q^{52} +(7.05059 - 5.12255i) q^{53} +(-2.75563 - 5.45967i) q^{54} +(-2.97144 - 8.36643i) q^{55} +(9.94656 + 5.21239i) q^{56} +(-7.23904 - 14.2074i) q^{57} +(9.67387 - 3.10245i) q^{58} +(3.88082 + 11.9439i) q^{59} +(-7.81629 - 3.79276i) q^{60} +(3.25904 + 1.05893i) q^{61} +(2.20087 - 13.5605i) q^{62} +(-0.949569 + 2.92247i) q^{63} +(-7.54983 - 2.64578i) q^{64} +(0.738215 + 1.35662i) q^{65} +(8.84960 - 6.37812i) q^{66} +(-0.542015 - 0.746020i) q^{67} +(5.95620 - 1.88512i) q^{68} +(0.123254 - 0.241899i) q^{69} +(-4.15672 - 11.8470i) q^{70} +(-2.55138 - 16.1088i) q^{71} +(0.367199 - 2.15811i) q^{72} +(-0.650616 + 0.650616i) q^{73} +(0.941409 + 2.93545i) q^{74} +(3.49776 + 9.06173i) q^{75} +(-2.69175 + 16.1937i) q^{76} +(15.5700 + 2.46605i) q^{77} +(-1.34693 + 1.33669i) q^{78} +(-4.91440 + 4.91440i) q^{79} +(4.15464 + 7.92079i) q^{80} -10.7229 q^{81} +(6.52732 - 6.27647i) q^{82} +(-2.84351 + 2.84351i) q^{83} +(12.5486 - 8.97148i) q^{84} +(-6.30716 - 3.00119i) q^{85} +(-0.0165416 + 4.33224i) q^{86} +(2.18311 - 13.7836i) q^{87} +(-11.2297 - 0.128638i) q^{88} +(5.28228 - 2.69145i) q^{89} +(-1.94605 + 1.48433i) q^{90} -2.74228 q^{91} +(-0.249999 + 0.124985i) q^{92} +(-15.2673 - 11.0923i) q^{93} +(5.58612 - 5.54363i) q^{94} +(14.5505 - 11.1864i) q^{95} +(-7.91761 + 7.62093i) q^{96} +(0.182409 - 0.132528i) q^{97} +(12.2325 + 1.98535i) 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 $

$2$	−1.26252	+	0.637224i	−0.892733	+	0.450585i
$2$	−1.26252	+	0.637224i	−0.892733	+	0.450585i
$3$			1.94267i			1.12160i	0.827951	+	0.560801i	$0.189507\pi$
$3$			1.94267i			1.12160i	−0.827951	+	0.560801i	$0.810493\pi$
$4$	1.18789	−	1.60901i	0.593946	−	0.804505i
$5$	−2.19825	+	0.409529i	−0.983086	+	0.183147i
$5$	−2.19825	+	0.409529i	−0.983086	+	0.183147i
$6$	−1.23792	−	2.45265i	−0.505377	−	1.00129i
$7$	1.22687	−	3.77593i	0.463715	−	1.42717i	−0.396876	−	0.917872i	$-0.629906\pi$
$7$	1.22687	−	3.77593i	0.463715	−	1.42717i	0.860591	−	0.509296i	$-0.170094\pi$
$8$	−0.474434	+	2.78835i	−0.167738	+	0.985832i
$9$	−0.773974			−0.257991
$10$	2.51436	−	1.91781i	0.795110	−	0.606465i
$11$	0.621132	+	3.92167i	0.187278	+	1.18243i	0.884837	+	0.465901i	$0.154270\pi$
$11$	0.621132	+	3.92167i	0.187278	+	1.18243i	−0.697558	+	0.716528i	$0.745730\pi$
$12$	3.12578	+	2.30768i	0.902334	+	0.666171i
$13$	−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	$0.930536\pi$
$14$	0.857164	+	5.54897i	0.229087	+	1.48302i
$15$	−0.795580	−	4.27047i	−0.205418	−	1.10263i
$16$	−1.17782	−	3.82266i	−0.294456	−	0.955665i
$17$	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	$0.576335\pi$
$18$	0.977154	−	0.493194i	0.230317	−	0.116247i
$19$	−7.31333	+	3.72633i	−1.67779	+	0.854879i	−0.685917	+	0.727680i	$0.740599\pi$
$19$	−7.31333	+	3.72633i	−1.67779	+	0.854879i	−0.991877	+	0.127199i	$0.959401\pi$
$20$	−1.95234	+	4.02348i	−0.436557	+	0.899676i
$21$	7.33540	+	2.38341i	1.60071	+	0.520104i
$22$	−3.28317	−	4.55537i	−0.699975	−	0.971209i
$23$	−0.124519	−	0.0634454i	−0.0259639	−	0.0132293i	0.440960	−	0.897527i	$-0.354638\pi$
$23$	−0.124519	−	0.0634454i	−0.0259639	−	0.0132293i	−0.466924	+	0.884297i	$0.654638\pi$
$24$	−5.41685	−	0.921669i	−1.10571	−	0.188135i
$25$	4.66457	−	1.80049i	0.932914	−	0.360098i
$26$	0.688065	+	0.693340i	0.134941	+	0.135975i
$27$			4.32444i			0.832239i
$28$	−4.61812	−	6.45945i	−0.872742	−	1.22072i
$29$	−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	$0.782415\pi$
$30$	3.72568	+	4.88457i	0.680212	+	0.891797i
$31$	−5.70984	+	7.85892i	−1.02552	+	1.41150i	−0.117256	+	0.993102i	$0.537410\pi$
$31$	−5.70984	+	7.85892i	−1.02552	+	1.41150i	−0.908262	+	0.418402i	$0.862590\pi$
$32$	3.92291	+	4.07563i	0.693479	+	0.720477i
$33$	−7.61852	+	1.20666i	−1.32621	+	0.210052i
$34$	−4.36052	−	0.707716i	−0.747823	−	0.121372i
$35$	−1.15062	+	8.80287i	−0.194490	+	1.48796i
$36$	−0.919397	+	1.24533i	−0.153233	+	0.207555i
$37$	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
$40$	−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
$43$	1.39075	−	2.72949i	0.212087	−	0.416244i	−0.760316	−	0.649554i	$-0.774956\pi$
$43$	1.39075	−	2.72949i	0.212087	−	0.416244i	0.972402	+	0.233310i	$0.0749557\pi$
$44$	7.04785	+	3.65912i	1.06250	+	0.551633i
$45$	1.70138	−	0.316964i	0.253627	−	0.0472503i
$46$	0.197636		0.000754621i	0.0291398		0.000111263i
$47$	−5.29255	+	1.71965i	−0.771997	+	0.250837i	−0.668420	−	0.743784i	$-0.733029\pi$
$47$	−5.29255	+	1.71965i	−0.771997	+	0.250837i	−0.103578	+	0.994621i	$0.533029\pi$
$48$	7.42617	−	2.28813i	1.07188	−	0.330263i
$49$	−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
$52$	−1.31051	−	0.436901i	−0.181734	−	0.0605873i
$53$	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	$0.0957440\pi$
$54$	−2.75563	−	5.45967i	−0.374994	−	0.742967i
$55$	−2.97144	−	8.36643i	−0.400669	−	1.12813i
$56$	9.94656	+	5.21239i	1.32917	+	0.696535i
$57$	−7.23904	−	14.2074i	−0.958834	−	1.88182i
$58$	9.67387	−	3.10245i	1.27024	−	0.407371i
$59$	3.88082	+	11.9439i	0.505240	+	1.55497i	0.800367	+	0.599510i	$0.204638\pi$
$59$	3.88082	+	11.9439i	0.505240	+	1.55497i	−0.295128	+	0.955458i	$0.595362\pi$
$60$	−7.81629	−	3.79276i	−1.00908	−	0.489644i
$61$	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	$0.529598\pi$
$62$	2.20087	−	13.5605i	0.279511	−	1.72218i
$63$	−0.949569	+	2.92247i	−0.119634	+	0.368197i
$64$	−7.54983	−	2.64578i	−0.943728	−	0.330722i
$65$	0.738215	+	1.35662i	0.0915643	+	0.168268i
$66$	8.84960	−	6.37812i	1.08931	−	0.785093i
$67$	−0.542015	−	0.746020i	−0.0662177	−	0.0911408i	0.774624	−	0.632422i	$-0.217939\pi$
$67$	−0.542015	−	0.746020i	−0.0662177	−	0.0911408i	−0.840841	+	0.541282i	$0.817939\pi$
$68$	5.95620	−	1.88512i	0.722295	−	0.228605i
$69$	0.123254	−	0.241899i	0.0148380	−	0.0291212i
$70$	−4.15672	−	11.8470i	−0.496823	−	1.41598i
$71$	−2.55138	−	16.1088i	−0.302793	−	1.91176i	−0.400036	−	0.916499i	$-0.631002\pi$
$71$	−2.55138	−	16.1088i	−0.302793	−	1.91176i	0.0972432	−	0.995261i	$-0.468998\pi$
$72$	0.367199	−	2.15811i	0.0432748	−	0.254336i
$73$	−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	$0.267148\pi$
$74$	0.941409	+	2.93545i	0.109437	+	0.341239i
$75$	3.49776	+	9.06173i	0.403887	+	1.04636i
$76$	−2.69175	+	16.1937i	−0.308765	+	1.85755i
$77$	15.5700	+	2.46605i	1.77437	+	0.281032i
$78$	−1.34693	+	1.33669i	−0.152510	+	0.151350i
$79$	−4.91440	+	4.91440i	−0.552914	+	0.552914i	−0.927281	−	0.374367i	$-0.877860\pi$
$79$	−4.91440	+	4.91440i	−0.552914	+	0.552914i	0.374367	+	0.927281i	$0.377860\pi$
$80$	4.15464	+	7.92079i	0.464503	+	0.885572i
$81$	−10.7229			−1.19143
$82$	6.52732	−	6.27647i	0.720822	−	0.693120i
$83$	−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	$0.320834\pi$
$84$	12.5486	−	8.97148i	1.36916	−	0.978869i
$85$	−6.30716	−	3.00119i	−0.684108	−	0.325525i
$86$	−0.0165416	+	4.33224i	−0.00178372	+	0.467158i
$87$	2.18311	−	13.7836i	0.234054	−	1.47776i
$88$	−11.2297	−	0.128638i	−1.19709	−	0.0137129i
$89$	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	$0.248262\pi$
$90$	−1.94605	+	1.48433i	−0.205131	+	0.156463i
$91$	−2.74228			−0.287469
$92$	−0.249999	+	0.124985i	−0.0260642	+	0.0130306i
$93$	−15.2673	−	11.0923i	−1.58315	−	1.15022i
$94$	5.58612	−	5.54363i	0.576164	−	0.571781i
$95$	14.5505	−	11.1864i	1.49285	−	1.14770i
$96$	−7.91761	+	7.62093i	−0.808088	+	0.777808i
$97$	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	$0.296356\pi$
$98$	12.2325	+	1.98535i	1.23567	+	0.200551i
$99$	−0.480740	−	3.03527i	−0.0483162	−	0.305056i
$100$	2.64400	−	9.64413i	0.264400	−	0.964413i
$101$	−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	$0.607882\pi$
$102$	1.37486	−	8.47106i	0.136131	−	0.838759i
$103$	−4.68908	+	2.38921i	−0.462029	+	0.235415i	−0.669480	−	0.742830i	$-0.733483\pi$
$103$	−4.68908	+	2.38921i	−0.462029	+	0.235415i	0.207451	+	0.978245i	$0.433483\pi$
$104$	1.93294	−	0.283491i	0.189540	−	0.0277986i
$105$	−17.1011	−	2.23528i	−1.66890	−	0.218141i
$106$	−5.63727	+	10.9601i	−0.547540	+	1.06454i
$107$	−15.7769	+	8.03875i	−1.52521	+	0.777136i	−0.997389	−	0.0722168i	$-0.976993\pi$
$107$	−15.7769	+	8.03875i	−1.52521	+	0.777136i	−0.527826	+	0.849353i	$0.676993\pi$
$108$	6.95806	+	5.13697i	0.669540	+	0.494305i
$109$	−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	$0.335149\pi$
$110$	9.08278	+	8.66928i	0.866009	+	0.826583i
$111$	4.18251	+	0.662445i	0.396987	+	0.0628765i
$112$	−15.8791	−	0.242540i	−1.50044	−	0.0229178i
$113$	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
$116$	−10.2365	+	10.0813i	−0.950432	+	0.936026i
$117$	0.165197	+	0.508425i	0.0152725	+	0.0470039i
$118$	−12.5106	−	12.6065i	−1.15169	−	1.16052i
$119$	10.0333	−	7.28963i	0.919753	−	0.668239i
$120$	12.2850	−	0.192303i	1.12146	−	0.0175548i
$121$	−4.53209	+	1.47257i	−0.412009	+	0.133870i
$122$	−4.78936	+	0.739826i	−0.433609	+	0.0669807i
$123$	−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
$126$	−0.663423	−	4.29475i	−0.0591024	−	0.382607i
$127$	5.73734	+	0.908705i	0.509106	+	0.0806345i	0.405703	−	0.914005i	$-0.367027\pi$
$127$	5.73734	+	0.908705i	0.509106	+	0.0806345i	0.103403	+	0.994640i	$0.467027\pi$
$128$	11.2177	−	1.47059i	0.991516	−	0.129983i
$129$	5.30251	+	2.70176i	0.466860	+	0.237877i
$130$	−1.79648	−	1.24235i	−0.157562	−	0.108961i
$131$	6.74020	+	4.89705i	0.588894	+	0.427857i	0.841920	−	0.539603i	$-0.181426\pi$
$131$	6.74020	+	4.89705i	0.588894	+	0.427857i	−0.253025	+	0.967460i	$0.581426\pi$
$132$	−7.10846	+	13.6917i	−0.618712	+	1.19171i
$133$	5.09782	+	32.1864i	0.442037	+	2.79091i
$134$	1.15968	+	0.596477i	0.100181	+	0.0515278i
$135$	−1.77098	−	9.50618i	−0.152422	−	0.818162i
$136$	−6.31855	+	6.17543i	−0.541811	+	0.529538i
$137$	−17.2573			−1.47439			−0.737193	−	0.675682i	$-0.763849\pi$
$137$	−17.2573			−1.47439			−0.737193	+	0.675682i	$0.763849\pi$
$138$	−0.00146598	+	0.383941i	−0.000124793	+	0.0326832i
$139$	−0.00890311	+	0.0274009i	−0.000755152	+	0.00232412i	−0.951433	−	0.307855i	$-0.900389\pi$
$139$	−0.00890311	+	0.0274009i	−0.000755152	+	0.00232412i	0.950678	+	0.310179i	$0.100389\pi$
$140$	12.7971	+	12.3082i	1.08155	+	1.04023i
$141$	−3.34072	−	10.2817i	−0.281340	−	0.865874i
$142$	13.4860	+	18.7118i	1.13172	+	1.57026i
$143$	2.44358	−	1.24507i	0.204342	−	0.104118i
$144$	0.911605	+	2.95864i	0.0759671	+	0.246553i
$145$	16.0572	−	0.435366i	1.33348	−	0.0361552i
$146$	0.406825	−	1.23600i	0.0336691	−	0.102292i
$147$	10.0061	−	13.7722i	0.825290	−	1.13591i
$148$	−3.05908	−	3.10616i	−0.251455	−	0.255325i
$149$	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	$-0.287626\pi$
$150$	−10.1903	−	9.21172i	−0.832037	−	0.752134i
$151$	−5.38367	+	10.5660i	−0.438117	+	0.859852i	0.561362	+	0.827570i	$0.310277\pi$
$151$	−5.38367	+	10.5660i	−0.438117	+	0.859852i	−0.999479	+	0.0322819i	$0.989723\pi$
$152$	−6.92063	−	22.1601i	−0.561337	−	1.79742i
$153$	−1.95593	−	1.42106i	−0.158127	−	0.114886i
$154$	−21.2288	+	6.80816i	−1.71067	+	0.548617i
$155$	9.33318	−	19.6142i	0.749659	−	1.57545i
$156$	0.848755	−	2.54588i	0.0679548	−	0.203834i
$157$	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	$0.501532\pi$
$158$	3.07294	−	9.33609i	0.244470	−	0.742739i
$159$	9.95144	+	13.6970i	0.789201	+	1.08624i
$160$	−10.2926	−	7.35269i	−0.813702	−	0.581282i
$161$	−0.392334	+	0.392334i	−0.0309203	+	0.0309203i
$162$	13.5378	−	6.83288i	1.06363	−	0.536841i
$163$	−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	$0.254731\pi$
$164$	−4.24134	+	12.0835i	−0.331193	+	0.943563i
$165$	16.2532	−	5.77253i	1.26531	−	0.449391i
$166$	1.77802	−	5.40193i	0.138001	−	0.419271i
$167$	13.8256			1.06986			0.534928	−	0.844898i	$-0.320339\pi$
$167$	13.8256			1.06986			0.534928	+	0.844898i	$0.320339\pi$
$168$	−10.1260	+	19.3229i	−0.781235	+	1.49079i
$169$	10.1313	−	7.36079i	0.779327	−	0.566215i
$170$	9.87532	−	0.230024i	0.757403	−	0.0176421i
$171$	5.66033	−	2.88408i	0.432856	−	0.220551i
$172$	−2.73972	−	5.48007i	−0.208902	−	0.417851i
$173$	−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	$0.365376\pi$
$174$	6.02703	+	18.7932i	0.456908	+	1.42471i
$175$	−1.07568	−	19.8221i	−0.0813140	−	1.49841i
$176$	14.2596	−	6.99342i	1.07486	−	0.527149i
$177$	−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	0.395859	−	0.918311i	$-0.370447\pi$
$179$	6.53662	+	1.03530i	0.488570	+	0.0773818i	0.0927106	+	0.995693i	$0.470447\pi$
$180$	1.51106	−	3.11406i	0.112628	−	0.232109i
$181$	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	$0.921643\pi$
$182$	3.46217	−	1.74745i	0.256633	−	0.129529i
$183$	−2.05715	+	6.33125i	−0.152069	+	0.468019i
$184$	0.235984	−	0.317101i	0.0173970	−	0.0233770i
$185$	0.132108	+	4.87241i	0.00971278	+	0.358226i
$186$	26.3435	+	4.27557i	1.93160	+	0.313500i
$187$	−5.63076	+	11.0510i	−0.411762	+	0.808129i
$188$	−3.52004	+	10.5585i	−0.256725	+	0.770059i
$189$	16.3288	+	5.30554i	1.18774	+	0.385922i
$190$	−11.2420	+	23.3949i	−0.815577	+	1.69725i
$191$	−14.1579	+	14.1579i	−1.02443	+	1.02443i	−0.0247385	+	0.999694i	$0.507875\pi$
$191$	−14.1579	+	14.1579i	−1.02443	+	1.02443i	−0.999694	+	0.0247385i	$0.992125\pi$
$192$	5.13988	−	14.6668i	0.370939	−	1.05849i
$193$	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	$0.199263\pi$
$194$	−0.145844	+	0.283553i	−0.0104710	+	0.0203579i
$195$	−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	$0.722905\pi$
$198$	2.54109	+	3.52574i	0.180587	+	0.250563i
$199$	4.73631	−	9.29553i	0.335748	−	0.658943i	−0.659979	−	0.751284i	$-0.729435\pi$
$199$	4.73631	−	9.29553i	0.335748	−	0.658943i	0.995727	+	0.0923411i	$0.0294350\pi$
$200$	2.80737	+	13.8607i	0.198511	+	0.980099i
$201$	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
$210$	23.0148	−	8.07514i	1.58817	−	0.557238i
$211$	21.2264	+	10.8154i	1.46128	+	0.744561i	0.990477	−	0.137677i	$-0.0439635\pi$
$211$	21.2264	+	10.8154i	1.46128	+	0.744561i	0.470805	+	0.882237i	$0.343963\pi$
$212$	0.133102	−	17.4295i	0.00914150	−	1.19706i
$213$	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
$216$	−12.0581	−	2.05166i	−0.820447	−	0.139598i
$217$	22.6695	+	31.2019i	1.53891	+	2.11812i
$218$	2.44034	−	7.41416i	0.165281	−	0.502150i
$219$	−1.26393	−	1.26393i	−0.0854087	−	0.0854087i
$220$	−16.9914	−	5.15734i	−1.14556	−	0.347708i
$221$	0.666723	−	2.05196i	0.0448487	−	0.138030i
$222$	−5.70262	+	1.82885i	−0.382735	+	0.122744i
$223$	−5.53669	−	2.82108i	−0.370764	−	0.188914i	0.258673	−	0.965965i	$-0.416715\pi$
$223$	−5.53669	−	2.82108i	−0.370764	−	0.188914i	−0.629438	+	0.777051i	$0.716715\pi$
$224$	20.2022	−	9.81236i	1.34982	−	0.655616i
$225$	−3.61026	+	1.39353i	−0.240684	+	0.0929021i
$226$	−4.91912	−	6.82525i	−0.327215	−	0.454009i
$227$	−11.5216	−	3.74360i	−0.764717	−	0.248472i	−0.0994154	−	0.995046i	$-0.531697\pi$
$227$	−11.5216	−	3.74360i	−0.764717	−	0.248472i	−0.665302	+	0.746574i	$0.731697\pi$
$228$	−31.4591	−	5.22919i	−2.08343	−	0.346312i
$229$	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	$0.335396\pi$
$230$	−0.434761	+	0.0792786i	−0.0286673	+	0.00522748i
$231$	−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	$0.809022\pi$
$234$	−0.532544	−	0.536627i	−0.0348135	−	0.0350804i
$235$	10.9301	−	5.94767i	0.713000	−	0.387983i
$236$	23.8279	+	7.94383i	1.55106	+	0.517099i
$237$	−9.54707	−	9.54707i	−0.620149	−	0.620149i
$238$	−8.02210	+	15.5967i	−0.519995	+	1.01099i
$239$	7.87540	+	15.4564i	0.509418	+	0.999788i	0.992271	+	0.124087i	$0.0396003\pi$
$239$	7.87540	+	15.4564i	0.509418	+	0.999788i	−0.482854	+	0.875701i	$0.660400\pi$
$240$	−15.3875	+	8.07110i	−0.993259	+	0.520987i
$241$	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	$0.733497\pi$
$242$	4.78349	−	4.74710i	0.307494	−	0.305155i
$243$		−	7.85773i		−	0.504074i
$244$	5.57521	−	3.98594i	0.356916	−	0.255174i
$245$	17.6934	+	8.41921i	1.13039	+	0.537884i
$246$	12.1931	+	12.6804i	0.777405	+	0.808476i
$247$	4.00880	+	4.00880i	0.255074	+	0.255074i
$248$	−19.2045	−	19.6496i	−1.21949	−	1.24775i
$249$	−5.52400	−	5.52400i	−0.350070	−	0.350070i
$250$	8.27541	−	13.4728i	0.523383	−	0.852098i
$251$	9.35884	−	6.79960i	0.590725	−	0.429187i	−0.251850	−	0.967766i	$-0.581039\pi$
$251$	9.35884	−	6.79960i	0.590725	−	0.429187i	0.842575	+	0.538580i	$0.181039\pi$
$252$	3.57430	+	4.99945i	0.225160	+	0.314935i
$253$	0.171470	−	0.527729i	0.0107802	−	0.0331780i
$254$	−7.82253	+	2.50871i	−0.490829	+	0.157411i
$255$	5.83033	−	12.2527i	0.365109	−	0.767297i
$256$	−13.2255	+	9.00485i	−0.826591	+	0.562803i
$257$	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	$-0.143508\pi$
$258$	−8.41613	−	0.0321348i	−0.523965	−	0.00200063i
$259$	−7.71111	−	3.92901i	−0.479145	−	0.244137i
$260$	3.05974	+	0.423726i	0.189757	+	0.0262784i
$261$	5.49148	+	0.869766i	0.339914	+	0.0538371i
$262$	−11.6301	−	1.88758i	−0.718512	−	0.116615i
$263$	20.7327	+	15.0632i	1.27844	+	0.928838i	0.999505	−	0.0314733i	$-0.0100199\pi$
$263$	20.7327	+	15.0632i	1.27844	+	0.928838i	0.278931	+	0.960311i	$0.410020\pi$
$264$	0.249902	−	21.8156i	0.0153804	−	1.34266i
$265$	−13.4011	+	14.1481i	−0.823223	+	0.869108i
$266$	−26.9460	−	37.3874i	−1.65217	−	2.29237i
$267$	5.22861	+	10.2617i	0.319986	+	0.628008i
$268$	−1.84421	−	0.0140835i	−0.112653	−	0.000860286i
$269$	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	$0.285573\pi$
$270$	8.29346	+	10.8732i	0.504724	+	0.661721i
$271$	10.6949	+	3.47499i	0.649669	+	0.211090i	0.615268	−	0.788318i	$-0.289048\pi$
$271$	10.6949	+	3.47499i	0.649669	+	0.211090i	0.0344010	+	0.999408i	$0.489048\pi$
$272$	4.04214	−	11.8229i	0.245091	−	0.716869i
$273$		−	5.32735i		−	0.322426i
$274$	21.7876	−	10.9967i	1.31623	−	0.664337i
$275$	9.95825	+	17.1746i	0.600505	+	1.03567i
$276$	−0.242805	−	0.485666i	−0.0146152	−	0.0292336i
$277$	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	$0.421356\pi$
$278$	−0.00622022	−	0.0402674i	−0.000373064	−	0.00241508i
$279$	4.41927	−	6.08260i	0.264574	−	0.364156i
$280$	−23.9996	−	7.38471i	−1.43425	−	0.441321i
$281$	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	$0.137898\pi$
$282$	10.7694	+	10.8520i	0.641311	+	0.646227i
$283$	1.51168	−	9.54435i	0.0898598	−	0.567352i	−0.901144	−	0.433520i	$-0.857271\pi$
$283$	1.51168	−	9.54435i	0.0898598	−	0.567352i	0.991004	−	0.133833i	$-0.0427285\pi$
$284$	−28.9499	−	15.0303i	−1.71786	−	0.891884i
$285$	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
$288$	−3.03623	−	3.15443i	−0.178912	−	0.185877i
$289$	−2.23806	−	6.88804i	−0.131651	−	0.405179i
$290$	−19.9950	+	10.7817i	−1.17415	+	0.633121i
$291$	0.257458	+	0.354360i	0.0150924	+	0.0207729i
$292$	0.273986	+	1.81971i	0.0160338	+	0.106490i
$293$	−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	$0.565206\pi$
$294$	−3.85688	+	23.7638i	−0.224938	+	1.38593i
$295$	−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
$298$	9.20117	+	28.6906i	0.533009	+	1.66200i
$299$	−0.0151001	+	0.0953383i	−0.000873262	+	0.00551356i
$300$	18.7354	+	5.13643i	1.08169	+	0.296552i
$301$	−8.60011	−	8.60011i	−0.495702	−	0.495702i
$302$	0.0640334	−	16.7704i	0.00368471	−	0.965028i
$303$	−12.8414	−	25.2028i	−0.737722	−	1.44786i
$304$	22.8583	+	23.5674i	1.31101	+	1.35168i
$305$	−7.59784	−	0.993110i	−0.435051	−	0.0568653i
$306$	3.37493	+	0.547753i	0.192932	+	0.0313130i
$307$	−12.0460	−	23.6416i	−0.687502	−	1.34930i	−0.925765	−	0.378098i	$-0.876578\pi$
$307$	−12.0460	−	23.6416i	−0.687502	−	1.34930i	0.238263	−	0.971201i	$-0.423422\pi$
$308$	22.4634	−	22.1229i	1.27997	−	1.26057i
$309$	−4.64144	−	9.10934i	−0.264042	−	0.518212i
$310$	0.715336	+	30.7105i	0.0406284	+	1.74424i
$311$	−5.68082	+	0.899754i	−0.322130	+	0.0510204i	−0.315405	−	0.948957i	$-0.602140\pi$
$311$	−5.68082	+	0.899754i	−0.322130	+	0.0510204i	−0.00672452	+	0.999977i	$0.502140\pi$
$312$	0.550730	+	3.75506i	0.0311789	+	0.212589i
$313$	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	$0.725262\pi$
$314$	−10.6628	+	1.64711i	−0.601737	+	0.0929520i
$315$	0.890549	−	6.81319i	0.0501768	−	0.383880i
$316$	2.06954	+	13.7451i	0.116421	+	0.773223i
$317$	−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	$0.346123\pi$
$318$	−21.2919	−	10.9514i	−1.19399	−	0.614122i
$319$		−	28.5230i		−	1.59698i
$320$	17.6799	+	2.72420i	0.988336	+	0.152287i
$321$	−15.6167	−	30.6494i	−0.871637	−	1.71068i
$322$	0.245323	−	0.745333i	0.0136713	−	0.0415358i
$323$	−25.3235	−	4.01085i	−1.40904	−	0.223169i
$324$	−12.7376	+	17.2532i	−0.707646	+	0.958513i
$325$	−2.17835	−	2.67987i	−0.120833	−	0.148652i
$326$	0.167807	−	0.509825i	0.00929397	−	0.0282366i
$327$	−7.58171	−	7.58171i	−0.419269	−	0.419269i
$328$	−2.34514	−	17.9583i	−0.129489	−	0.991581i
$329$			22.0941i			1.21809i
$330$	−16.8416	+	17.6449i	−0.927098	+	0.971317i
$331$	5.00712	+	5.00712i	0.275216	+	0.275216i	0.831196	−	0.555980i	$-0.187657\pi$
$331$	5.00712	+	5.00712i	0.275216	+	0.275216i	−0.555980	+	0.831196i	$0.687657\pi$
$332$	1.19745	+	7.95301i	0.0657187	+	0.436478i
$333$	−0.263923	+	1.66634i	−0.0144629	+	0.0913150i
$334$	−17.4550	+	8.80999i	−0.955096	+	0.482061i
$335$	1.49700	+	1.41796i	0.0817898	+	0.0774717i
$336$	0.471175	−	30.8480i	0.0257047	−	1.68289i
$337$	−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	$0.847522\pi$
$338$	−8.10040	+	15.7490i	−0.440604	+	0.856632i
$339$	−11.4147	+	1.80791i	−0.619962	+	0.0981924i
$340$	−12.3212	+	6.58320i	−0.668209	+	0.357024i
$341$	−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
$344$	6.95097	+	5.17285i	0.374771	+	0.278902i
$345$	−0.171877	+	0.582229i	−0.00925355	+	0.0313461i
$346$	4.12414	−	12.5298i	0.221715	−	0.673607i
$347$	16.9483	+	5.50684i	0.909833	+	0.295623i	0.726289	−	0.687389i	$-0.241243\pi$
$347$	16.9483	+	5.50684i	0.909833	+	0.295623i	0.183543	+	0.983012i	$0.441243\pi$
$348$	−19.5847	−	19.8861i	−1.04985	−	1.06601i
$349$	−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	$0.922778\pi$
$350$	13.9892	+	24.3402i	0.747752	+	1.30104i
$351$	2.84073	−	0.923010i	0.151627	−	0.0492666i
$352$	−13.5466	+	17.9159i	−0.722039	+	0.954920i
$353$	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	$0.177911\pi$
$354$	24.4902	−	24.3039i	1.30164	−	1.29174i
$355$	12.2056	+	34.3662i	0.647804	+	1.82397i
$356$	1.94420	−	11.6964i	0.103042	−	0.619907i
$357$	14.1614	+	19.4914i	0.749499	+	1.03160i
$358$	−8.91230	+	2.85821i	−0.471030	+	0.151061i
$359$	−4.89342	−	3.55528i	−0.258265	−	0.187640i	0.451117	−	0.892465i	$-0.351026\pi$
$359$	−4.89342	−	3.55528i	−0.258265	−	0.187640i	−0.709382	+	0.704824i	$0.751026\pi$
$360$	0.0766149	+	4.89444i	0.00403796	+	0.257960i
$361$	28.4314	−	39.1325i	1.49639	−	2.05960i
$362$	−1.97948	−	2.74652i	−0.104039	−	0.144354i
$363$	−2.86071	−	8.80437i	−0.150149	−	0.462110i
$364$	−3.25754	+	4.41236i	−0.170741	+	0.231270i
$365$	1.16377	−	1.69666i	0.0609144	−	0.0888072i
$366$	−1.43724	−	9.30416i	−0.0751257	−	0.486336i
$367$	−27.3176	−	13.9190i	−1.42597	−	0.726566i	−0.440710	−	0.897650i	$-0.645273\pi$
$367$	−27.3176	−	13.9190i	−1.42597	−	0.726566i	−0.985257	+	0.171083i	$0.945273\pi$
$368$	−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
$372$	−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	$0.543196\pi$
$374$	0.0669724	−	17.5401i	0.00346306	−	0.906978i
$375$	−11.4000	−	18.4875i	−0.588693	−	0.954690i
$376$	−2.28404	−	15.5734i	−0.117790	−	0.803134i
$377$	0.776194	+	4.90070i	0.0399760	+	0.252399i
$378$	−23.9962	+	3.70676i	−1.23423	+	0.190655i
$379$	−14.5753	−	10.5896i	−0.748682	−	0.543949i	0.146736	−	0.989176i	$-0.453123\pi$
$379$	−14.5753	−	10.5896i	−0.748682	−	0.543949i	−0.895418	+	0.445226i	$0.853123\pi$
$380$	−0.714656	−	36.7001i	−0.0366611	−	1.88268i
$381$	−1.76532	+	11.1458i	−0.0904398	+	0.571015i
$382$	8.85285	−	26.8964i	0.452951	−	1.37614i
$383$	11.4803			0.586615			0.293307	−	0.956018i	$-0.405244\pi$
$383$	11.4803			0.586615			0.293307	+	0.956018i	$0.405244\pi$
$384$	2.85688	+	21.7924i	0.145789	+	1.11209i
$385$	−35.2367	+	0.955389i	−1.79583	+	0.0486912i
$386$	−5.59339	+	10.8748i	−0.284696	+	0.553513i
$387$	−1.07640	+	2.11255i	−0.0547165	+	0.107387i
$388$	0.00344354	−	0.450926i	0.000174819	−	0.0228923i
$389$	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	$-0.143965\pi$
$390$	2.41348	−	3.48997i	0.122211	−	0.176722i
$391$	−0.198184	−	0.388958i	−0.0100226	−	0.0196705i
$392$	17.7254	−	17.3239i	0.895266	−	0.874988i
$393$	−9.51335	+	13.0940i	−0.479885	+	0.660505i
$394$	−15.1906	−	21.0768i	−0.765291	−	1.06184i
$395$	8.79048	−	12.8157i	0.442297	−	0.644826i
$396$	−5.45485	−	2.83206i	−0.274116	−	0.142316i
$397$	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	$0.211689\pi$
$398$	−0.0563338	+	14.7538i	−0.00282376	+	0.739543i
$399$	−62.5276	+	9.90340i	−3.13030	+	0.495790i
$400$	−12.3767	−	15.7104i	−0.618835	−	0.785521i
$401$			14.6549i			0.731829i	0.930648	+	0.365915i	$0.119244\pi$
$401$			14.6549i			0.731829i	−0.930648	+	0.365915i	$0.880756\pi$
$402$	−1.15876	+	2.25289i	−0.0577936	+	0.112364i
$403$	6.38125	+	2.07339i	0.317873	+	0.103283i
$404$	−4.77494	+	28.7263i	−0.237562	+	1.42919i
$405$	23.5715	−	4.39133i	1.17128	−	0.218207i
$406$	0.154006	−	40.3342i	0.00764318	−	2.00175i
$407$	8.65505			0.429015
$408$	−11.9968	−	12.2749i	−0.593931	−	0.607696i
$409$			26.8239i			1.32636i	0.748462	+	0.663178i	$0.230793\pi$
$409$			26.8239i			1.32636i	−0.748462	+	0.663178i	$0.769207\pi$
$410$	−11.7783	+	16.4703i	−0.581687	+	0.813413i
$411$		−	33.5252i		−	1.65368i
$412$	−1.72587	+	10.3829i	−0.0850273	+	0.511528i
$413$	49.8608			2.45349
$414$	−0.152965		0.000584057i	−0.00751780		2.87048e-5i
$415$	5.08623	−	7.41523i	0.249673	−	0.363999i
$416$	1.83998	−	3.44687i	0.0902126	−	0.168997i
$417$	−0.0532310	−	0.0172958i	−0.00260674	−	0.000846980i
$418$	40.9858	+	21.0808i	2.00468	+	1.03110i
$419$			1.28591i			0.0628209i	0.999507	+	0.0314104i	$0.00999990\pi$
$419$			1.28591i			0.0628209i	−0.999507	+	0.0314104i	$0.990000\pi$
$420$	−23.9108	+	24.8605i	−1.16673	+	1.21307i
$421$	−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	$0.481878\pi$
$422$	−33.6904	−	0.128638i	−1.64002	−	0.00626201i
$423$	4.09629	−	1.33097i	0.199169	−	0.0647138i
$424$	10.9385	+	22.0898i	0.531218	+	1.07278i
$425$	15.0938	+	4.01439i	0.732155	+	0.194726i
$426$	−36.3509	+	26.1990i	−1.76120	+	1.26934i
$427$	7.99687	−	11.0067i	0.386996	−	0.532654i
$428$	−5.80687	+	34.9344i	−0.280686	+	1.68862i
$429$	2.41876	+	4.74708i	0.116779	+	0.229191i
$430$	−1.73782	−	9.53011i	−0.0838049	−	0.459583i
$431$	−7.66730	+	23.5975i	−0.369321	+	1.13665i	0.577910	+	0.816100i	$0.303868\pi$
$431$	−7.66730	+	23.5975i	−0.369321	+	1.13665i	−0.947231	+	0.320552i	$0.896132\pi$
$432$	16.5309	−	5.09343i	0.795341	−	0.245058i
$433$	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	$0.0198526\pi$
$434$	−48.5032	−	24.9473i	−2.32823	−	1.19751i
$435$	0.845774	+	31.1938i	0.0405518	+	1.49563i
$436$	1.64351	+	10.9155i	0.0787096	+	0.522759i
$437$	1.14706			0.0548715
$438$	2.40114	+	0.790327i	0.114731	+	0.0377633i
$439$	−1.24859	+	7.88329i	−0.0595919	+	0.376249i	0.939811	+	0.341695i	$0.111001\pi$
$439$	−1.24859	+	7.88329i	−0.0595919	+	0.376249i	−0.999403	+	0.0345537i	$0.988999\pi$
$440$	24.7383	−	4.31611i	1.17935	−	0.205762i
$441$	5.48695	+	3.98650i	0.261283	+	0.189833i
$442$	0.465811	+	3.01549i	0.0221564	+	0.143432i
$443$	−0.180655	−	1.14061i	−0.00858317	−	0.0541920i	0.983025	−	0.183472i	$-0.0587335\pi$
$443$	−0.180655	−	1.14061i	−0.00858317	−	0.0541920i	−0.991608	+	0.129280i	$0.958734\pi$
$444$	6.03426	−	5.94279i	0.286373	−	0.282032i
$445$	−10.5095	+	8.07972i	−0.498199	+	0.383016i
$446$	8.78782	+	0.0335540i	0.416115	+	0.00158883i
$447$	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	$0.650711\pi$
$450$	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
$453$	−20.5263	−	10.4587i	−0.964412	−	0.491392i
$454$	16.9318	−	2.61549i	0.794647	−	0.122751i
$455$	6.02821	−	1.12304i	0.282607	−	0.0526491i
$456$	43.0497	−	13.4445i	2.01599	−	0.629597i
$457$	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	$0.618502\pi$
$458$	−12.2333	+	8.81687i	−0.571626	+	0.411985i
$459$	−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	0.854169	−	0.519996i	$-0.174067\pi$
$461$	13.3887	+	9.72749i	0.623576	+	0.453054i	−0.230593	+	0.973050i	$0.574067\pi$
$462$	−13.2260	−	41.2406i	−0.615330	−	1.91869i
$463$	1.28734	+	1.77187i	0.0598275	+	0.0823456i	0.837882	−	0.545851i	$-0.183793\pi$
$463$	1.28734	+	1.77187i	0.0598275	+	0.0823456i	−0.778055	+	0.628196i	$0.783793\pi$
$464$	4.06110	+	28.4461i	0.188532	+	1.32058i
$465$	38.1039	+	18.1313i	1.76703	+	0.840819i
$466$	−8.57438	−	8.64011i	−0.397200	−	0.400245i
$467$	−9.95198	+	5.07079i	−0.460523	+	0.234648i	−0.668830	−	0.743415i	$-0.733205\pi$
$467$	−9.95198	+	5.07079i	−0.460523	+	0.234648i	0.208307	+	0.978063i	$0.433205\pi$
$468$	1.01430	+	0.338150i	0.0468859	+	0.0156310i
$469$	−3.48190	+	1.13134i	−0.160779	+	0.0522404i
$470$	−10.0094	+	14.4739i	−0.461699	+	0.667633i
$471$	−4.57993	+	14.0956i	−0.211032	+	0.649490i
$472$	−35.1451	+	5.15449i	−1.61768	+	0.237255i
$473$	11.5680	+	3.75868i	0.531898	+	0.172824i
$474$	18.1370	+	5.96971i	0.833058	+	0.274198i
$475$	−27.4044	+	30.5493i	−1.25740	+	1.40170i
$476$	0.189411	−	24.8030i	0.00868162	−	1.13684i
$477$	−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	0.300580	−	0.953757i	$-0.402820\pi$
$479$	−6.44214	−	3.28243i	−0.294349	−	0.149978i	−0.594929	+	0.803778i	$0.702820\pi$
$480$	14.2839	−	19.9952i	0.651967	−	0.912650i
$481$	−1.48707	+	0.235529i	−0.0678047	+	0.0107392i
$482$	−8.09866	−	4.16550i	−0.368884	−	0.189733i
$483$	−0.762176	−	0.762176i	−0.0346802	−	0.0346802i
$484$	−3.01426	+	9.04143i	−0.137012	+	0.410974i
$485$	−0.346705	+	0.366030i	−0.0157431	+	0.0166206i
$486$	5.00713	+	9.92051i	0.227128	+	0.450003i
$487$	1.39655	−	8.81749i	0.0632839	−	0.399559i	−0.935631	−	0.352980i	$-0.885168\pi$
$487$	1.39655	−	8.81749i	0.0632839	−	0.399559i	0.998915	−	0.0465784i	$-0.0148317\pi$
$488$	−4.49886	+	8.58497i	−0.203654	+	0.388623i
$489$	−0.521346	−	0.521346i	−0.0235761	−	0.0235761i
$490$	−27.7032	+	0.645286i	−1.25150	+	0.0291510i
$491$			4.41751i			0.199359i	0.995020	+	0.0996797i	$0.0317818\pi$
$491$			4.41751i			0.199359i	−0.995020	+	0.0996797i	$0.968218\pi$
$492$	−23.4743	−	8.23952i	−1.05830	−	0.371466i
$493$	−15.8671	−	15.8671i	−0.714619	−	0.714619i
$494$	−7.61567	−	2.50667i	−0.342645	−	0.112780i
$495$	2.29982	+	6.47540i	0.103369	+	0.291047i
$496$	36.7672	+	12.5703i	1.65089	+	0.564425i
$497$	−63.9559	−	10.1296i	−2.86881	−	0.454375i
$498$	10.4942	+	3.45412i	0.470255	+	0.154783i
$499$	−5.33681	−	10.4741i	−0.238908	−	0.468884i	0.740156	−	0.672435i	$-0.234752\pi$
$499$	−5.33681	−	10.4741i	−0.238908	−	0.468884i	−0.979064	+	0.203551i	$0.934752\pi$
$500$	−1.86262	+	22.2830i	−0.0832989	+	0.996525i
$501$			26.8586i			1.19995i
$502$	−7.48282	+	14.5483i	−0.333975	+	0.649321i
$503$	21.7247	−	29.9014i	0.968655	−	1.33324i	0.0259317	−	0.999664i	$-0.491745\pi$
$503$	21.7247	−	29.9014i	0.968655	−	1.33324i	0.942723	−	0.333576i	$-0.108255\pi$
$504$	−7.69838	−	4.03425i	−0.342913	−	0.179700i
$505$	25.8113	−	19.8438i	1.14859	−	0.883036i
$506$	0.119798	+	0.775531i	0.00532569	+	0.0344765i
$507$	14.2996	+	19.6817i	0.635067	+	0.874095i
$508$	8.27745	−	8.15199i	0.367253	−	0.361686i
$509$	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	$0.214993\pi$
$510$	0.446862	+	19.1845i	0.0197874	+	0.849504i
$511$	1.65846	+	3.25490i	0.0733658	+	0.143988i
$512$	10.9593	−	19.7963i	0.484335	−	0.874883i
$513$	−16.1143	−	31.6261i	−0.711463	−	1.39632i
$514$	−6.40383	+	39.4565i	−0.282461	+	1.74035i
$515$	9.32930	−	7.17237i	0.411098	−	0.316053i
$516$	10.6460	−	5.32238i	0.468663	−	0.234305i
$517$	−10.0313	−	19.6875i	−0.441176	−	0.865856i
$518$	12.2391	+	0.0467317i	0.537753	+	0.00205327i
$519$	−12.8130	−	12.8130i	−0.562427	−	0.562427i
$520$	−4.13298	+	1.41478i	−0.181243	+	0.0620421i
$521$	−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	$0.904903\pi$
$522$	−7.48732	+	2.40121i	−0.327711	+	0.105098i
$523$	23.0315	−	3.64783i	1.00710	−	0.159508i	0.368971	−	0.929441i	$-0.379710\pi$
$523$	23.0315	−	3.64783i	1.00710	−	0.159508i	0.638125	+	0.769933i	$0.279710\pi$
$524$	15.8860	−	5.02789i	0.693984	−	0.219645i
$525$	38.5078	−	2.08970i	1.68062	−	0.0912020i
$526$	−35.7741	−	5.80616i	−1.55982	−	0.253161i
$527$	−28.8590	+	9.37684i	−1.25712	+	0.408462i
$528$	13.5859	+	27.7018i	0.591251	+	1.20557i
$529$	−13.5076	−	18.5916i	−0.587286	−	0.808330i
$530$	7.90363	−	26.4016i	0.343312	−	1.14681i
$531$	−3.00365	−	9.24429i	−0.130347	−	0.401168i
$532$	57.8439	+	30.0315i	2.50785	+	1.30203i
$533$	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
$536$	2.33732	−	1.15739i	0.100957	−	0.0499917i
$537$	−2.01125	+	12.6985i	−0.0867916	+	0.547981i
$538$	−11.5836	+	11.4954i	−0.499402	+	0.495603i
$539$	15.7959	−	31.0013i	0.680379	−	1.33532i
$540$	−17.3993	−	8.44279i	−0.748746	−	0.363320i
$541$	−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	$0.819146\pi$
$542$	−15.7168	+	2.42782i	−0.675096	+	0.104284i
$543$	−4.59335	+	0.727515i	−0.197119	+	0.0312206i
$544$	2.43057	+	17.5023i	0.104210	+	0.750407i
$545$	6.98087	−	10.1774i	0.299028	−	0.435953i
$546$	3.39472	+	6.72587i	0.145280	+	0.287841i
$547$		−	0.0721726i		−	0.00308588i	−0.999999	−	0.00154294i	$-0.999509\pi$
$547$		−	0.0721726i		−	0.00308588i	0.999999	−	0.00154294i	$-0.000491133\pi$
$548$	−20.4998	+	27.7671i	−0.875706	+	1.18615i
$549$	−2.52241	−	0.819581i	−0.107654	−	0.0349789i
$550$	−23.5165	−	15.3376i	−1.00275	−	0.653995i
$551$	56.0770	−	18.2205i	2.38896	−	0.776220i
$552$	0.616023	+	0.458439i	0.0262197	+	0.0195125i
$553$	12.5271	+	24.5858i	0.532706	+	1.04550i
$554$	−3.43190	+	2.47346i	−0.145808	+	0.105087i
$555$	−9.46549	+	0.256643i	−0.401788	+	0.0108939i
$556$	0.0335125	+	0.0468746i	0.00142124	+	0.00198792i
$557$	−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	$-0.710399\pi$
$558$	−1.70342	+	10.4954i	−0.0721114	+	0.444307i
$559$	−2.08985	−	0.331000i	−0.0883913	−	0.0139998i
$560$	35.0056	−	5.96981i	1.47926	−	0.252270i
$561$	−21.4685	−	10.9387i	−0.906399	−	0.461833i
$562$	−0.00688117	+	1.80218i	−0.000290265	+	0.0760205i
$563$	−0.361905	+	0.498120i	−0.0152525	+	0.0209932i	−0.816575	−	0.577239i	$-0.804130\pi$
$563$	−0.361905	+	0.498120i	−0.0152525	+	0.0209932i	0.801323	+	0.598232i	$0.204130\pi$
$564$	−20.5117	−	6.83828i	−0.863700	−	0.287943i
$565$	−4.45206	−	12.5353i	−0.187300	−	0.527364i
$566$	4.17337	+	13.0132i	0.175420	+	0.546984i
$567$	−13.1556	+	40.4889i	−0.552485	+	1.70037i
$568$	46.1274	+	0.528398i	1.93546	+	0.0221711i
$569$	−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	$0.382336\pi$
$570$	−45.4487	−	21.8394i	−1.90363	−	0.914753i
$571$	−12.8260	−	12.8260i	−0.536753	−	0.536753i	0.385821	−	0.922574i	$-0.373918\pi$
$571$	−12.8260	−	12.8260i	−0.536753	−	0.536753i	−0.922574	+	0.385821i	$0.873918\pi$
$572$	0.899386	−	5.41075i	0.0376052	−	0.226235i
$573$	−27.5042	−	27.5042i	−1.14901	−	1.14901i
$574$	−15.6913	−	32.3472i	−0.654943	−	1.35014i
$575$	−0.695059	−	0.0717511i	−0.0289860	−	0.00299223i
$576$	5.84336	+	2.04776i	0.243474	+	0.0853234i
$577$		−	2.49024i		−	0.103670i	−0.998656	−	0.0518351i	$-0.983493\pi$
$577$		−	2.49024i		−	0.103670i	0.998656	−	0.0518351i	$-0.0165070\pi$
$578$	7.21480	+	7.27011i	0.300096	+	0.302397i
$579$	9.87399	+	13.5904i	0.410349	+	0.564797i
$580$	18.3737	−	26.3533i	0.762926	−	1.09426i
$581$	7.24827	+	14.2255i	0.300709	+	0.590174i
$582$	−0.550851	−	0.283327i	−0.0228335	−	0.0117443i
$583$	24.4683	+	24.4683i	1.01337	+	1.01337i
$584$	−1.50547	−	2.12282i	−0.0622969	−	0.0878429i
$585$	−0.571359	−	1.04999i	−0.0236228	−	0.0434117i
$586$	17.0457	−	16.9160i	0.704151	−	0.698794i
$587$	−10.7588	−	33.1122i	−0.444063	−	1.36668i	−0.883508	−	0.468416i	$-0.844825\pi$
$587$	−10.7588	−	33.1122i	−0.444063	−	1.36668i	0.439445	−	0.898269i	$-0.355175\pi$
$588$	−10.2735	−	32.4599i	−0.423671	−	1.33862i
$589$	12.4730	−	78.7517i	0.513943	−	3.24491i
$590$	32.6640	+	22.5887i	1.34475	+	0.929960i
$591$	−35.2494	+	5.58296i	−1.44997	+	0.229652i
$592$	−8.63171	+	1.23231i	−0.354761	+	0.0506475i
$593$	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	$0.531377\pi$
$594$	19.6994	−	14.1979i	0.808278	−	0.582546i
$595$	−19.0704	+	20.1333i	−0.781810	+	0.825386i
$596$	−29.8989	−	30.3591i	−1.22471	−	1.24356i
$597$	18.0582	+	9.20109i	0.739071	+	0.376576i
$598$	−0.0416877	−	0.129988i	−0.00170474	−	0.00531562i
$599$	−1.20763	+	3.71670i	−0.0493424	+	0.151860i	−0.972692	−	0.232100i	$-0.925440\pi$
$599$	−1.20763	+	3.71670i	−0.0493424	+	0.151860i	0.923349	+	0.383961i	$0.125440\pi$
$600$	−26.9268	+	5.45380i	−1.09928	+	0.222651i
$601$	−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	$0.780306\pi$
$602$	16.3380	+	5.37758i	0.665886	+	0.219174i
$603$	0.419505	+	0.577400i	0.0170836	+	0.0235135i
$604$	10.6056	+	21.2137i	0.431538	+	0.863173i
$605$	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	0.578704	−	0.815538i	$-0.303559\pi$
$607$	34.0267	−	5.38929i	1.38110	−	0.218745i	0.802395	+	0.596793i	$0.203559\pi$
$608$	−43.8767	−	15.1884i	−1.77944	−	0.615971i
$609$	−49.3676	−	25.1540i	−2.00048	−	1.01929i
$610$	10.2252	−	3.58770i	0.414007	−	0.145262i
$611$	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	−0.306615	−	0.951833i	$-0.599197\pi$
$619$	12.5365	−	9.10827i	0.503883	−	0.366092i	0.810498	+	0.585741i	$0.199197\pi$
$620$	−20.4726	−	38.3167i	−0.822200	−	1.53884i
$621$	0.274366	−	0.538473i	0.0110099	−	0.0216082i
$622$	6.59878	−	4.75591i	0.264587	−	0.190695i
$623$	−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
$626$	−10.3525	−	5.32474i	−0.413768	−	0.212819i
$627$	51.2204	−	37.2138i	2.04555	−	1.48618i
$628$	12.4124	−	8.87410i	0.495308	−	0.354115i
$629$	4.81473	−	4.81473i	0.191976	−	0.191976i
$630$	3.21719	+	9.16924i	0.128176	+	0.365311i
$631$	7.87080	+	2.55738i	0.313332	+	0.101808i	0.461461	−	0.887160i	$-0.347325\pi$
$631$	7.87080	+	2.55738i	0.313332	+	0.101808i	−0.148130	+	0.988968i	$0.547325\pi$
$632$	−11.3715	−	16.0347i	−0.452335	−	0.637824i
$633$	−21.0107	+	41.2358i	−0.835101	+	1.63898i
$634$	3.57483	−	22.0260i	0.141975	−	0.874763i
$635$	−12.9842	+	0.352048i	−0.515263	+	0.0139706i
$636$	33.8598	+	0.258574i	1.34263	+	0.0102531i
$637$	−1.87035	+	5.75636i	−0.0741061	+	0.228075i
$638$	18.1755	+	36.0107i	0.719576	+	1.42568i
$639$	1.97470	+	12.4678i	0.0781179	+	0.493217i
$640$	−24.0571	+	7.82671i	−0.950939	+	0.309378i
$641$	−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	0.745515	−	0.666489i	$-0.232204\pi$
$643$	44.1321	−	14.3394i	1.74040	−	0.565491i	0.994887	+	0.100998i	$0.0322037\pi$
$644$	0.165219	+	1.09732i	0.00651053	+	0.0432405i
$645$	−12.7627	−	3.76761i	−0.502530	−	0.148349i
$646$	34.5271	−	11.0730i	1.35845	−	0.435660i
$647$	21.2820	−	21.2820i	0.836683	−	0.836683i	−0.151738	−	0.988421i	$-0.548487\pi$
$647$	21.2820	−	21.2820i	0.836683	−	0.836683i	0.988421	+	0.151738i	$0.0484869\pi$
$648$	5.08730	−	29.8992i	0.199848	−	1.17455i
$649$	−44.4297	+	22.6381i	−1.74402	+	0.888622i
$650$	4.45788	+	1.99528i	0.174853	+	0.0782613i
$651$	−60.6150	+	44.0394i	−2.37569	+	1.72604i
$652$	0.113013	+	0.750592i	0.00442595	+	0.0293955i
$653$	−6.58136			−0.257549			−0.128774	−	0.991674i	$-0.541104\pi$
$653$	−6.58136			−0.257549			−0.128774	+	0.991674i	$0.541104\pi$
$654$	14.4033	+	4.74078i	0.563212	+	0.185379i
$655$	−16.8221	−	8.00460i	−0.657294	−	0.312766i
$656$	14.4042	+	21.1782i	0.562391	+	0.826872i
$657$	0.503559	−	0.503559i	0.0196457	−	0.0196457i
$658$	−14.0789	−	27.8942i	−0.548852	−	1.08743i
$659$	−1.77429	+	1.77429i	−0.0691164	+	0.0691164i	−0.740820	−	0.671704i	$-0.765563\pi$
$659$	−1.77429	+	1.77429i	−0.0691164	+	0.0691164i	0.671704	+	0.740820i	$0.265563\pi$
$660$	10.0190	−	33.0087i	0.389990	−	1.28486i
$661$	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	$0.625034\pi$
$662$	−9.51222	−	3.13091i	−0.369703	−	0.121686i
$663$	3.98629	+	1.29522i	0.154815	+	0.0503024i
$664$	−6.57965	−	9.27776i	−0.255340	−	0.360047i
$665$	−24.3875	−	68.6659i	−0.945708	−	2.66275i
$666$	−0.728626	−	2.27196i	−0.0282337	−	0.0880367i
$667$	0.812184	+	0.590086i	0.0314479	+	0.0228482i
$668$	16.4233	−	22.2455i	0.635436	−	0.860704i
$669$	5.48044	−	10.7560i	0.211886	−	0.415850i
$670$	−2.79355	−	0.836279i	−0.107924	−	0.0323083i
$671$	−2.12847	+	13.4386i	−0.0821687	+	0.518793i
$672$	19.0622	+	39.2463i	0.735340	+	1.51396i
$673$	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	$-0.238044\pi$
$674$	14.8752	+	4.89611i	0.572970	+	0.188591i
$675$	7.78611	+	20.1717i	0.299688	+	0.776407i
$676$	0.191260	−	25.0451i	0.00735614	−	0.963274i
$677$	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	$0.314118\pi$
$678$	13.2592	−	9.55624i	0.509217	−	0.367005i
$679$	−0.276623	−	0.851357i	−0.0106158	−	0.0326721i
$680$	11.3607	−	16.1627i	0.435663	−	0.619813i
$681$	7.27259	−	22.3827i	0.278686	−	0.857709i
$682$	54.5467	+	0.208273i	2.08870	+	0.00797517i
$683$	−36.8792			−1.41114			−0.705571	−	0.708639i	$-0.749309\pi$
$683$	−36.8792			−1.41114			−0.705571	+	0.708639i	$0.749309\pi$
$684$	2.08334	−	12.5335i	0.0796587	−	0.479230i
$685$	37.9357	−	7.06734i	1.44945	−	0.270029i
$686$	4.52734	−	8.80216i	0.172855	−	0.336068i
$687$	3.24044	+	20.4593i	0.123631	+	0.780572i
$688$	−12.0720	−	2.10149i	−0.460240	−	0.0801184i
$689$	−4.86990	−	3.53819i	−0.185528	−	0.134794i
$690$	−0.154012	−	0.844597i	−0.00586315	−	0.0321533i
$691$	−19.2704	−	9.81874i	−0.733079	−	0.373522i	0.0472571	−	0.998883i	$-0.484952\pi$
$691$	−19.2704	−	9.81874i	−0.733079	−	0.373522i	−0.780336	+	0.625360i	$0.784952\pi$
$692$	2.77750	+	18.4471i	0.105585	+	0.701253i
$693$	−12.0508	−	1.90866i	−0.457771	−	0.0725039i
$694$	−24.9066	+	3.84739i	−0.945441	+	0.146045i
$695$	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
$698$	−4.26268	−	27.5950i	−0.161345	−	1.04449i
$699$	−15.9028	+	5.16713i	−0.601498	+	0.195439i
$700$	−33.1717	−	21.8157i	−1.25377	−	0.824556i
$701$	−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	$0.471414\pi$
$702$	−2.99831	+	2.97550i	−0.113164	+	0.112303i
$703$	5.52885	+	17.0161i	0.208525	+	0.641773i
$704$	5.68643	−	31.2513i	0.214316	−	1.17783i
$705$	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
$708$	−15.4323	+	46.2898i	−0.579980	+	1.73968i
$709$	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	$0.239445\pi$
$710$	−37.3087	−	35.6102i	−1.40017	−	1.33643i
$711$	3.80362	−	3.80362i	0.142647	−	0.142647i
$712$	4.99864	+	16.0058i	0.187332	+	0.599841i
$713$	1.20959	−	0.616319i	0.0452996	−	0.0230813i
$714$	−30.2993	−	15.5843i	−1.13392	−	0.583228i
$715$	−4.86170	+	3.73768i	−0.181817	+	0.139781i
$716$	9.43060	−	9.28766i	0.352438	−	0.347096i
$717$	−30.0266	+	15.2993i	−1.12136	+	0.571364i
$718$	8.44353	+	1.37039i	0.315110	+	0.0511426i
$719$	−42.0391	+	21.4200i	−1.56780	+	0.798832i	−0.999709	−	0.0241372i	$-0.992316\pi$
$719$	−42.0391	+	21.4200i	−1.56780	+	0.798832i	−0.568087	+	0.822969i	$0.692316\pi$
$720$	−3.21558	−	6.13049i	−0.119838	−	0.228470i
$721$	3.26856	+	20.6369i	0.121728	+	0.768558i
$722$	−10.9590	+	67.5225i	−0.407850	+	2.51293i
$723$	−10.1210	+	7.35333i	−0.376404	+	0.273473i
$724$	4.24928	+	2.20615i	0.157923	+	0.0819909i
$725$	−35.1193	+	7.53292i	−1.30430	+	0.279766i
$726$	9.22205	+	9.29274i	0.342262	+	0.344886i
$727$	−19.7578	−	14.3549i	−0.732775	−	0.532392i	0.157665	−	0.987493i	$-0.449603\pi$
$727$	−19.7578	−	14.3549i	−0.732775	−	0.532392i	−0.890440	+	0.455100i	$0.849603\pi$
$728$	1.30103	−	7.64645i	0.0482194	−	0.283396i
$729$	−16.9037			−0.626062
$730$	−0.388124	+	2.88364i	−0.0143651	+	0.106728i
$731$	8.52611	−	4.34427i	0.315350	−	0.160679i
$732$	7.74337	+	10.8308i	0.286203	+	0.400318i
$733$	−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	$0.967182\pi$
$734$	43.3584	+	0.165553i	1.60039	+	0.00611067i
$735$	−16.3558	+	34.3725i	−0.603292	+	1.26785i
$736$	−0.229895	−	0.756382i	−0.00847405	−	0.0278806i
$737$	2.58898	−	2.58898i	0.0953664	−	0.0953664i
$738$	−5.05198	+	4.85782i	−0.185966	+	0.178819i
$739$	−15.7354			−0.578835			−0.289418	−	0.957203i	$-0.593462\pi$
$739$	−15.7354			−0.578835			−0.289418	+	0.957203i	$0.593462\pi$
$740$	7.99668	+	5.57533i	0.293964	+	0.204953i
$741$	−7.78777	+	7.78777i	−0.286091	+	0.286091i
$742$	34.4684	+	34.7326i	1.26537	+	1.27507i
$743$	41.3351	+	6.54683i	1.51644	+	0.240180i	0.858469	−	0.512866i	$-0.171416\pi$
$743$	41.3351	+	6.54683i	1.51644	+	0.240180i	0.657968	+	0.753046i	$0.271416\pi$
$744$	38.1727	−	37.3081i	1.39948	−	1.36778i
$745$	1.29120	+	47.6220i	0.0473059	+	1.74474i
$746$	−1.11187	+	0.356580i	−0.0407084	+	0.0130553i
$747$	2.20080	−	2.20080i	0.0805231	−	0.0805231i
$748$	11.0924	+	22.1873i	0.405579	+	0.811250i
$749$	10.9975	+	69.4352i	0.401838	+	2.53711i
$750$	26.1733	+	16.0764i	0.955714	+	0.587027i
$751$	11.8872	−	23.3299i	0.433770	−	0.851321i	−0.565870	−	0.824494i	$-0.691460\pi$
$751$	11.8872	−	23.3299i	0.433770	−	0.851321i	0.999640	−	0.0268269i	$-0.00854030\pi$
$752$	12.8073	+	18.2062i	0.467036	+	0.663910i
$753$	13.2094	+	18.1812i	0.481377	+	0.662558i
$754$	−4.10280	−	5.69260i	−0.149415	−	0.207312i
$755$	7.50753	−	25.4315i	0.273227	−	0.925548i
$756$	27.9335	−	19.9708i	1.01593	−	0.726330i
$757$	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	$-0.108674\pi$
$758$	25.1494	+	4.08177i	0.913469	+	0.148257i
$759$	1.02520	+	0.333109i	0.0372126	+	0.0120911i
$760$	24.2884	+	45.8791i	0.881034	+	1.66421i
$761$	−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	$0.926360\pi$
$762$	−4.87360	−	15.1966i	−0.176552	−	0.550515i
$763$	9.94826	+	19.5246i	0.360151	+	0.706837i
$764$	5.96216	+	39.5984i	0.215703	+	1.43262i
$765$	4.88158	+	2.32284i	0.176494	+	0.0839825i
$766$	−14.4940	+	7.31551i	−0.523691	+	0.264320i
$767$	7.01767	−	5.09864i	0.253393	−	0.184101i
$768$	−17.4935	−	25.6927i	−0.631241	−	0.927106i
$769$	−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	$0.373042\pi$
$770$	43.8780	−	23.6598i	1.58126	−	0.852641i
$771$	44.4229	+	32.2751i	1.59985	+	1.16236i
$772$	0.132066	−	17.2939i	0.00475317	−	0.622420i
$773$	−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	$0.553490\pi$
$774$	0.0128027	−	3.35304i	0.000460185	−	0.120523i
$775$	−12.4841	+	46.9390i	−0.448440	+	1.68610i
$776$	0.282993	+	0.571495i	0.0101589	+	0.0205155i
$777$	7.63277	−	14.9802i	0.273824	−	0.537410i
$778$	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
$782$	0.498064	+	0.364778i	0.0178107	+	0.0130445i
$783$	4.85966	−	30.6827i	0.173670	−	1.09651i
$784$	−11.3394	+	33.1667i	−0.404978	+	1.18452i
$785$	−16.9155	−	2.21101i	−0.603739	−	0.0789144i
$786$	3.66695	−	22.5935i	0.130796	−	0.805884i
$787$	−11.2417	+	1.78050i	−0.400722	+	0.0634681i	−0.353543	−	0.935418i	$-0.615023\pi$
$787$	−11.2417	+	1.78050i	−0.400722	+	0.0634681i	−0.0471791	+	0.998886i	$0.515023\pi$
$788$	32.6090	+	16.9300i	1.16165	+	0.603107i
$789$	−29.2629	+	40.2769i	−1.04179	+	1.43390i
$790$	−2.93168	+	21.7815i	−0.104304	+	0.774950i
$791$	23.3283	+	3.69484i	0.829460	+	0.131373i
$792$	8.69149	+	0.0995625i	0.308839	+	0.00353780i
$793$		−	2.36689i		−	0.0840507i
$794$	−22.3083	+	22.1386i	−0.791693	+	0.785670i
$795$	−27.4850	−	26.0339i	−0.974793	−	0.923329i
$796$	−9.33037	−	18.6629i	−0.330706	−	0.661487i
$797$	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	$0.537567\pi$
$798$	72.6314	−	52.3473i	2.57112	−	1.85307i
$799$	−16.5323	−	5.37168i	−0.584872	−	0.190036i
$800$	25.6368	+	11.9479i	0.906399	+	0.422422i
$801$	−4.08834	+	2.08311i	−0.144454	+	0.0736032i
$802$	−9.33843	−	18.5020i	−0.329751	−	0.653329i
$803$	−2.95562	−	2.14738i	−0.104302	−	0.0757795i
$804$	0.0273596	−	3.58269i	0.000964898	−	0.126352i
$805$	0.701775	−	1.02312i	0.0247343	−	0.0360602i
$806$	−9.37765	+	1.44859i	−0.330314	+	0.0510245i
$807$	6.92742	+	21.3204i	0.243857	+	0.750514i
$808$	−12.2766	−	39.3101i	−0.431890	−	1.38292i
$809$	−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	$-0.237610\pi$
$810$	−26.9612	+	20.5645i	−0.947319	+	0.722562i
$811$	12.6378			0.443772			0.221886	−	0.975073i	$-0.428779\pi$
$811$	12.6378			0.443772			0.221886	+	0.975073i	$0.428779\pi$
$812$	25.5075	+	51.0207i	0.895137	+	1.79048i
$813$	−6.75076	+	20.7767i	−0.236759	+	0.728671i
$814$	−10.9271	+	5.51520i	−0.382996	+	0.193308i
$815$	0.480030	−	0.699837i	0.0168147	−	0.0245142i
$816$	22.9680	+	7.85255i	0.804041	+	0.274894i
$817$			25.1441i			0.879680i
$818$	−17.0928	−	33.8656i	−0.597636	−	1.18408i
$819$	2.12245			0.0741645
$820$	4.37496	−	28.2995i	0.152780	−	0.988260i
$821$	3.00487			0.104871			0.0524353	−	0.998624i	$-0.483302\pi$
$821$	3.00487			0.104871			0.0524353	+	0.998624i	$0.483302\pi$
$822$	21.3630	+	42.3261i	0.745121	+	1.47629i
$823$			1.32646i			0.0462375i	0.999733	+	0.0231187i	$0.00735958\pi$
$823$			1.32646i			0.0462375i	−0.999733	+	0.0231187i	$0.992640\pi$
$824$	−4.43729	−	14.2083i	−0.154580	−	0.494971i
$825$	−33.3646	+	19.3456i	−1.16161	+	0.673528i
$826$	−62.9500	+	31.7725i	−2.19031	+	1.10551i
$827$	−3.31439	+	10.2006i	−0.115253	+	0.354711i	−0.992000	−	0.126241i	$-0.959709\pi$
$827$	−3.31439	+	10.2006i	−0.115253	+	0.354711i	0.876747	+	0.480952i	$0.159709\pi$
$828$	0.193493	−	0.0967353i	0.00672433	−	0.00336179i
$829$	−28.5887			−0.992928			−0.496464	−	0.868057i	$-0.665368\pi$
$829$	−28.5887			−0.992928			−0.496464	+	0.868057i	$0.665368\pi$
$830$	−1.69629	+	12.6029i	−0.0588791	+	0.437454i
$831$	0.909064	+	5.73960i	0.0315351	+	0.199105i
$832$	−0.126578	+	5.52421i	−0.00438831	+	0.191518i
$833$	−8.45860	−	26.0329i	−0.293073	−	0.901986i
$834$	0.0782263	−	0.0120838i	0.00270876	−	0.000418429i
$835$	−30.3920	+	5.66197i	−1.05176	+	0.195941i
$836$	−65.1783	−	0.497741i	−2.25424	−	0.0172147i
$837$	−33.9854	−	24.6919i	−1.17471	−	0.853475i
$838$	−0.819413	−	1.62348i	−0.0283062	−	0.0560823i
$839$	−24.0486	+	12.2534i	−0.830252	+	0.423034i	−0.816832	−	0.576876i	$-0.804272\pi$
$839$	−24.0486	+	12.2534i	−0.830252	+	0.423034i	−0.0134196	+	0.999910i	$0.504272\pi$
$840$	14.3461	−	46.6234i	0.494986	−	1.60866i
$841$	21.4981	+	6.98517i	0.741315	+	0.240868i
$842$	4.70718	−	3.39258i	0.162220	−	0.116916i
$843$	2.20581	+	1.12391i	0.0759720	+	0.0387096i
$844$	42.6166	−	21.3059i	1.46693	−	0.733380i
$845$	−19.2565	+	20.3299i	−0.662445	+	0.699369i
$846$	−4.32351	+	4.29062i	−0.148645	+	0.147515i
$847$			18.9195i			0.650083i
$848$	−27.8861	−	20.9185i	−0.957614	−	0.718346i
$849$	18.5415	+	2.93669i	0.636344	+	0.100787i
$850$	−21.6142	+	4.54988i	−0.741360	+	0.156060i
$851$	−0.179056	+	0.246450i	−0.00613798	+	0.00844820i
$852$	29.1989	−	56.2402i	1.00034	−	1.92676i
$853$	−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	$0.692323\pi$
$854$	−3.08242	+	18.9920i	−0.105478	+	0.649893i
$855$	−11.2617	+	8.65799i	−0.385141	+	0.296097i
$856$	−14.9298	−	47.8055i	−0.510289	−	1.63396i
$857$	−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	−0.227263	−	0.973833i	$-0.572978\pi$
$859$	4.72695	−	1.53588i	0.161282	−	0.0524036i	0.388545	+	0.921430i	$0.372978\pi$
$860$	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
$863$	−20.2514	+	39.7457i	−0.689367	+	1.35296i	0.235202	+	0.971946i	$0.424425\pi$
$863$	−20.2514	+	39.7457i	−0.689367	+	1.35296i	−0.924570	+	0.381013i	$0.875575\pi$
$864$	−17.6248	+	16.9644i	−0.599608	+	0.577140i
$865$	11.7976	−	17.1997i	0.401129	−	0.584807i
$866$	−0.0893442	+	23.3993i	−0.00303604	+	0.795140i
$867$	13.3812	−	4.34781i	0.454449	−	0.147659i
$868$	77.1330	+	0.589034i	2.61807	+	0.0199931i
$869$	−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
$872$	−9.03059	−	12.7338i	−0.305814	−	0.431219i
$873$	−0.141179	+	0.102573i	−0.00477820	+	0.00347156i
$874$	−1.44819	+	0.730937i	−0.0489857	+	0.0247243i
$875$	10.4823	+	43.1333i	0.354367	+	1.45817i
$876$	−3.53510	+	0.532264i	−0.119440	+	0.0179835i
$877$	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	$0.787252\pi$
$878$	−3.44705	−	10.7484i	−0.116332	−	0.362741i
$879$	−10.1940	−	31.3739i	−0.343835	−	1.05822i
$880$	−28.4822	+	21.2130i	−0.960134	+	0.715090i
$881$	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	$0.349156\pi$
$882$	−9.46765	−	1.53661i	−0.318792	−	0.0517403i
$883$	−3.55226	+	10.9327i	−0.119543	+	0.367915i	−0.992867	−	0.119224i	$-0.961959\pi$
$883$	−3.55226	+	10.9327i	−0.119543	+	0.367915i	0.873325	+	0.487139i	$0.161959\pi$
$884$	−2.50963	−	3.51028i	−0.0844081	−	0.118063i
$885$	47.9187	−	26.0753i	1.61077	−	0.876511i
$886$	0.954903	+	1.32492i	0.0320806	+	0.0445116i
$887$	−6.30480	−	8.67781i	−0.211694	−	0.291372i	0.689944	−	0.723863i	$-0.257635\pi$
$887$	−6.30480	−	8.67781i	−0.211694	−	0.291372i	−0.901639	+	0.432490i	$0.857635\pi$
$888$	−3.83146	+	11.3480i	−0.128575	+	0.380815i
$889$	10.4702	−	20.5489i	0.351159	−	0.689189i
$890$	8.11984	−	16.8977i	0.272178	−	0.566412i
$891$	−6.66033	−	42.0517i	−0.223129	−	1.40878i
$892$	−11.1161	+	5.55744i	−0.372196	+	0.186077i
$893$	32.2982	−	32.2982i	1.08082	−	1.08082i
$894$	−55.7364	+	17.8749i	−1.86410	+	0.597825i
$895$	−14.7931	+	0.401092i	−0.494478	+	0.0134070i
$896$	8.20989	−	44.1616i	0.274273	−	1.47534i
$897$	−0.185211	−	0.0293346i	−0.00618402	−	0.000979452i
$898$	−29.7853	−	30.0136i	−0.993947	−	1.00157i
$899$	49.3440	−	49.3440i	1.64571	−	1.64571i
$900$	−2.04639	+	7.46430i	−0.0682129	+	0.248810i
$901$	27.2231			0.906932
$902$	28.6686	+	21.6995i	0.954559	+	0.722515i
$903$	16.7072	−	16.7072i	0.555980	−	0.555980i
$904$	−16.8253	−	0.192737i	−0.559600	−	0.00641032i
$905$	−1.79153	−	5.04427i	−0.0595526	−	0.167677i
$906$	32.5794	+	0.124396i	1.08238	+	0.00413278i
$907$	−6.35970	+	40.1535i	−0.211170	+	1.33328i	0.623196	+	0.782066i	$0.285834\pi$
$907$	−6.35970	+	40.1535i	−0.211170	+	1.33328i	−0.834366	+	0.551211i	$0.814166\pi$
$908$	−19.7099	+	14.0914i	−0.654098	+	0.467640i
$909$	10.0409	−	5.11612i	0.333037	−	0.169691i
$910$	−6.89508	+	5.25918i	−0.228570	+	0.174340i
$911$	−12.8587			−0.426028			−0.213014	−	0.977049i	$-0.568328\pi$
$911$	−12.8587			−0.426028			−0.213014	+	0.977049i	$0.568328\pi$
$912$	−45.7838	+	44.4062i	−1.51605	+	1.47044i
$913$	−12.9175	−	9.38512i	−0.427507	−	0.310602i
$914$	−32.9447	−	33.1973i	−1.08971	−	1.09807i
$915$	1.92929	−	14.7601i	0.0637803	−	0.487954i
$916$	9.82646	−	18.9268i	0.324675	−	0.625359i
$917$	26.7603	−	19.4425i	0.883703	−	0.642048i
$918$	3.06047	−	18.8568i	0.101011	−	0.622367i
$919$	7.54866	+	47.6604i	0.249007	+	1.57217i	0.722498	+	0.691373i	$0.242994\pi$
$919$	7.54866	+	47.6604i	0.249007	+	1.57217i	−0.473491	+	0.880799i	$0.657006\pi$
$920$	−0.388889	+	0.793709i	−0.0128213	+	0.0261678i
$921$	45.9279	−	23.4014i	1.51338	−	0.771104i
$922$	−23.1021	−	3.74949i	−0.760827	−	0.123483i
$923$	−10.0373	+	5.11427i	−0.330382	+	0.168338i
$924$	42.9776	+	43.6390i	1.41386	+	1.43562i
$925$	−2.28580	−	10.6566i	−0.0751565	−	0.350388i
$926$	−2.75436	−	1.41669i	−0.0905137	−	0.0465552i
$927$	3.62922	−	1.84918i	0.119199	−	0.0607351i
$928$	−23.2537	−	33.3258i	−0.763341	−	1.09397i
$929$	−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	$0.332329\pi$
$930$	−59.6605	+	1.38966i	−1.95635	+	0.0455689i
$931$	71.0398	+	11.2516i	2.32823	+	0.368756i
$932$	16.3310	+	5.44448i	0.534939	+	0.178340i
$933$	−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
$936$	−1.49604	+	0.219414i	−0.0488997	+	0.00717178i
$937$	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	$0.686194\pi$
$938$	3.67504	−	3.64709i	0.119994	−	0.119082i
$939$	−12.9376	+	9.39973i	−0.422203	+	0.306749i
$940$	3.41389	−	24.6518i	0.111349	−	0.804053i
$941$	−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	$0.478591\pi$
$942$	−3.19980	−	20.7143i	−0.104255	−	0.674910i
$943$	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
$946$	−16.9999	+	2.62602i	−0.552715	+	0.0853794i
$947$	−33.1994	−	5.25827i	−1.07884	−	0.170871i	−0.408374	−	0.912815i	$-0.633904\pi$
$947$	−33.1994	−	5.25827i	−1.07884	−	0.170871i	−0.670462	+	0.741944i	$0.733904\pi$
$948$	−26.7022	+	4.02044i	−0.867248	+	0.130578i
$949$	0.566258	+	0.288523i	0.0183815	+	0.00936586i
$950$	15.1317	−	56.0317i	0.490937	−	1.81791i
$951$	−24.7984	−	18.0171i	−0.804142	−	0.584244i
$952$	15.5659	+	31.4349i	0.504495	+	1.01881i
$953$	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	$0.817436\pi$
$954$	4.36310	−	8.48283i	0.141261	−	0.274642i
$955$	25.3245	−	36.9207i	0.819483	−	1.19473i
$956$	34.2246	+	5.68888i	1.10690	+	0.183991i
$957$	55.4108			1.79118
$958$	10.2249	+	0.0390413i	0.330353	+	0.00126137i
$959$	−21.1725	+	65.1622i	−0.683695	+	2.10420i
$960$	−5.29222	+	34.3462i	−0.170806	+	1.10852i
$961$	−19.5808	−	60.2636i	−0.631640	−	1.94399i
$962$	1.72737	−	1.24496i	0.0556926	−	0.0401390i
$963$	12.2109	−	6.22178i	0.393492	−	0.200494i
$964$	12.8790	+	0.0983521i	0.414806	+	0.00316771i
$965$	−13.2968	+	14.0379i	−0.428039	+	0.451897i
$966$	1.44794	+	0.476583i	0.0465866	+	0.0153338i
$967$	30.6467	−	42.1816i	0.985533	−	1.35647i	0.0517377	−	0.998661i	$-0.483524\pi$
$967$	30.6467	−	42.1816i	0.985533	−	1.35647i	0.933795	−	0.357809i	$-0.116476\pi$
$968$	−1.95586	−	13.3357i	−0.0628637	−	0.428626i
$969$	7.79176	−	49.1952i	0.250307	−	1.58038i
$970$	0.204478	−	0.683047i	0.00656539	−	0.0219313i
$971$	4.66908	−	9.16358i	0.149838	−	0.294073i	−0.803872	−	0.594803i	$-0.797230\pi$
$971$	4.66908	−	9.16358i	0.149838	−	0.294073i	0.953709	+	0.300730i	$0.0972302\pi$
$972$	−12.6432	−	9.33414i	−0.405530	−	0.299393i
$973$	0.0925411	+	0.0672351i	0.00296673	+	0.00215546i
$974$	3.85554	+	12.0221i	0.123540	+	0.385214i
$975$	5.20611	−	4.23183i	0.166729	−	0.135527i
$976$	0.209338	−	13.7054i	0.00670075	−	0.438700i
$977$	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	$0.482264\pi$
$978$	0.990422	+	0.325994i	0.0316702	+	0.0104241i
$979$	13.8360	+	19.0436i	0.442200	+	0.608637i
$980$	34.5645	−	18.4678i	1.10412	−	0.589932i
$981$	3.02060	−	3.02060i	0.0964405	−	0.0964405i
$982$	−2.81494	−	5.57718i	−0.0898284	−	0.177975i
$983$	−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	$0.260485\pi$
$984$	34.8871	−	4.55584i	1.11216	−	0.145235i
$985$	−13.7483	−	38.7099i	−0.438056	−	1.23340i
$986$	30.1434	+	9.92158i	0.959960	+	0.315967i
$987$	−42.9216			−1.36621
$988$	11.2122	−	1.68817i	0.356708	−	0.0537080i
$989$	−0.346347	+	0.251636i	−0.0110132	+	0.00800156i
$990$	−7.02983	−	6.70979i	−0.223423	−	0.213251i
$991$	−49.7909	+	25.3697i	−1.58166	+	0.805896i	−0.999972	−	0.00751489i	$-0.997608\pi$
$991$	−49.7909	+	25.3697i	−1.58166	+	0.805896i	−0.581689	+	0.813411i	$0.697608\pi$
$992$	−54.4293	+	7.55865i	−1.72813	+	0.239987i
$993$	−9.72719	+	9.72719i	−0.308683	+	0.308683i
$994$	87.2001	−	27.9654i	2.76582	−	0.887008i
$995$	−6.60479	+	22.3735i	−0.209386	+	0.709288i
$996$	−15.4501	+	2.32626i	−0.489555	+	0.0737102i
$997$	−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.43.19	✓	960
4.3	odd	2	inner	820.2.bk.c.43.68	yes	960
5.2	odd	4		820.2.bv.c.207.44	yes	960
20.7	even	4		820.2.bv.c.207.7	yes	960
41.21	even	20		820.2.bv.c.103.7	yes	960
164.103	odd	20		820.2.bv.c.103.44	yes	960
205.62	odd	20	inner	820.2.bk.c.267.68	yes	960
820.267	even	20	inner	820.2.bk.c.267.19	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.19	✓	960	1.1	even	1	trivial
820.2.bk.c.43.68	yes	960	4.3	odd	2	inner
820.2.bk.c.267.19	yes	960	820.267	even	20	inner
820.2.bk.c.267.68	yes	960	205.62	odd	20	inner
820.2.bv.c.103.7	yes	960	41.21	even	20
820.2.bv.c.103.44	yes	960	164.103	odd	20
820.2.bv.c.207.7	yes	960	20.7	even	4
820.2.bv.c.207.44	yes	960	5.2	odd	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+(-1.26252 + 0.637224i) q^{2} +1.94267i q^{3} +(1.18789 - 1.60901i) q^{4} +(-2.19825 + 0.409529i) q^{5} +(-1.23792 - 2.45265i) q^{6} +(1.22687 - 3.77593i) q^{7} +(-0.474434 + 2.78835i) q^{8} -0.773974 q^{9} +(2.51436 - 1.91781i) q^{10} +(0.621132 + 3.92167i) q^{11} +(3.12578 + 2.30768i) q^{12} +(-0.213440 - 0.656902i) q^{13} +(0.857164 + 5.54897i) q^{14} +(-0.795580 - 4.27047i) q^{15} +(-1.17782 - 3.82266i) q^{16} +(2.52712 + 1.83606i) q^{17} +(0.977154 - 0.493194i) q^{18} +(-7.31333 + 3.72633i) q^{19} +(-1.95234 + 4.02348i) q^{20} +(7.33540 + 2.38341i) q^{21} +(-3.28317 - 4.55537i) q^{22} +(-0.124519 - 0.0634454i) q^{23} +(-5.41685 - 0.921669i) q^{24} +(4.66457 - 1.80049i) q^{25} +(0.688065 + 0.693340i) q^{26} +4.32444i q^{27} +(-4.61812 - 6.45945i) q^{28} +(-7.09518 - 1.12377i) q^{29} +(3.72568 + 4.88457i) q^{30} +(-5.70984 + 7.85892i) q^{31} +(3.92291 + 4.07563i) q^{32} +(-7.61852 + 1.20666i) q^{33} +(-4.36052 - 0.707716i) q^{34} +(-1.15062 + 8.80287i) q^{35} +(-0.919397 + 1.24533i) q^{36} +(0.340997 - 2.15297i) q^{37} +(6.85869 - 9.36478i) 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} +(1.39075 - 2.72949i) q^{43} +(7.04785 + 3.65912i) q^{44} +(1.70138 - 0.316964i) q^{45} +(0.197636 + 0.000754621i) q^{46} +(-5.29255 + 1.71965i) q^{47} +(7.42617 - 2.28813i) q^{48} +(-7.08932 - 5.15070i) q^{49} +(-4.74178 + 5.24552i) q^{50} +(-3.56687 + 4.90937i) q^{51} +(-1.31051 - 0.436901i) q^{52} +(7.05059 - 5.12255i) q^{53} +(-2.75563 - 5.45967i) q^{54} +(-2.97144 - 8.36643i) q^{55} +(9.94656 + 5.21239i) q^{56} +(-7.23904 - 14.2074i) q^{57} +(9.67387 - 3.10245i) q^{58} +(3.88082 + 11.9439i) q^{59} +(-7.81629 - 3.79276i) q^{60} +(3.25904 + 1.05893i) q^{61} +(2.20087 - 13.5605i) q^{62} +(-0.949569 + 2.92247i) q^{63} +(-7.54983 - 2.64578i) q^{64} +(0.738215 + 1.35662i) q^{65} +(8.84960 - 6.37812i) q^{66} +(-0.542015 - 0.746020i) q^{67} +(5.95620 - 1.88512i) q^{68} +(0.123254 - 0.241899i) q^{69} +(-4.15672 - 11.8470i) q^{70} +(-2.55138 - 16.1088i) q^{71} +(0.367199 - 2.15811i) q^{72} +(-0.650616 + 0.650616i) q^{73} +(0.941409 + 2.93545i) q^{74} +(3.49776 + 9.06173i) q^{75} +(-2.69175 + 16.1937i) q^{76} +(15.5700 + 2.46605i) q^{77} +(-1.34693 + 1.33669i) q^{78} +(-4.91440 + 4.91440i) q^{79} +(4.15464 + 7.92079i) q^{80} -10.7229 q^{81} +(6.52732 - 6.27647i) q^{82} +(-2.84351 + 2.84351i) q^{83} +(12.5486 - 8.97148i) q^{84} +(-6.30716 - 3.00119i) q^{85} +(-0.0165416 + 4.33224i) q^{86} +(2.18311 - 13.7836i) q^{87} +(-11.2297 - 0.128638i) q^{88} +(5.28228 - 2.69145i) q^{89} +(-1.94605 + 1.48433i) q^{90} -2.74228 q^{91} +(-0.249999 + 0.124985i) q^{92} +(-15.2673 - 11.0923i) q^{93} +(5.58612 - 5.54363i) q^{94} +(14.5505 - 11.1864i) q^{95} +(-7.91761 + 7.62093i) q^{96} +(0.182409 - 0.132528i) q^{97} +(12.2325 + 1.98535i) 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

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