LMFDB - Embedded newform 483.2.bb.a.26.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.17
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.556499 + 1.39007i) q^{2} +(-0.00816795 - 1.73203i) q^{3} +(-0.175125 - 0.166982i) q^{4} +(-0.460513 - 1.33056i) q^{5} +(2.41218 + 0.952519i) q^{6} +(1.82653 + 1.91411i) q^{7} +(-2.39445 + 1.09351i) q^{8} +(-2.99987 + 0.0282943i) q^{9} +O(q^{10})$	\(q+(-0.556499 + 1.39007i) q^{2} +(-0.00816795 - 1.73203i) q^{3} +(-0.175125 - 0.166982i) q^{4} +(-0.460513 - 1.33056i) q^{5} +(2.41218 + 0.952519i) q^{6} +(1.82653 + 1.91411i) q^{7} +(-2.39445 + 1.09351i) q^{8} +(-2.99987 + 0.0282943i) q^{9} +(2.10585 + 0.100314i) q^{10} +(1.82581 + 4.56066i) q^{11} +(-0.287787 + 0.304686i) q^{12} +(2.07329 - 3.22610i) q^{13} +(-3.67719 + 1.47379i) q^{14} +(-2.30082 + 0.808491i) q^{15} +(-0.210569 - 4.42038i) q^{16} +(0.850141 + 3.50433i) q^{17} +(1.63009 - 4.18576i) q^{18} +(2.87863 + 0.698348i) q^{19} +(-0.141532 + 0.309913i) q^{20} +(3.30037 - 3.17923i) q^{21} -7.35567 q^{22} +(4.61427 + 1.30710i) q^{23} +(1.91355 + 4.13834i) q^{24} +(2.37193 - 1.86531i) q^{25} +(3.33071 + 4.67733i) q^{26} +(0.0735094 + 5.19563i) q^{27} +(-0.000250229 - 0.640204i) q^{28} +(2.46049 - 8.37964i) q^{29} +(0.156546 - 3.64821i) q^{30} +(8.53717 + 6.07929i) q^{31} +(1.28670 + 0.445331i) q^{32} +(7.88429 - 3.19961i) q^{33} +(-5.34435 - 0.768401i) q^{34} +(1.70570 - 3.31178i) q^{35} +(0.530077 + 0.495967i) q^{36} +(-6.38470 + 1.23055i) q^{37} +(-2.57270 + 3.61286i) q^{38} +(-5.60464 - 3.56465i) q^{39} +(2.55766 + 2.68240i) q^{40} +(-4.35421 + 5.02502i) q^{41} +(2.58269 + 6.35698i) q^{42} +(-0.684988 + 1.49991i) q^{43} +(0.441800 - 1.10356i) q^{44} +(1.41912 + 3.97849i) q^{45} +(-4.38479 + 5.68675i) q^{46} +(3.23508 - 5.60333i) q^{47} +(-7.65453 + 0.400817i) q^{48} +(-0.327607 + 6.99233i) q^{49} +(1.27293 + 4.33519i) q^{50} +(6.06266 - 1.50109i) q^{51} +(-0.901784 + 0.218770i) q^{52} +(-0.700686 + 1.35914i) q^{53} +(-7.26318 - 2.78918i) q^{54} +(5.22744 - 4.52960i) q^{55} +(-6.46662 - 2.58591i) q^{56} +(1.18605 - 4.99158i) q^{57} +(10.2790 + 8.08350i) q^{58} +(0.278042 - 5.83682i) q^{59} +(0.537934 + 0.242607i) q^{60} +(0.473986 - 4.96381i) q^{61} +(-13.2015 + 8.48411i) q^{62} +(-5.53349 - 5.69038i) q^{63} +(4.46095 - 5.14821i) q^{64} +(-5.24731 - 1.27298i) q^{65} +(0.0600808 + 12.7403i) q^{66} +(-12.2177 + 9.60812i) q^{67} +(0.436277 - 0.755654i) q^{68} +(2.22624 - 8.00274i) q^{69} +(3.65437 + 4.21404i) q^{70} +(-6.77695 + 0.974379i) q^{71} +(7.15210 - 3.34813i) q^{72} +(-3.95650 + 4.14946i) q^{73} +(1.84253 - 9.55995i) q^{74} +(-3.25015 - 4.09303i) q^{75} +(-0.387510 - 0.602977i) q^{76} +(-5.39469 + 11.8250i) q^{77} +(8.07407 - 5.80710i) q^{78} +(-7.04636 + 3.63265i) q^{79} +(-5.78464 + 2.31582i) q^{80} +(8.99840 - 0.169758i) q^{81} +(-4.56201 - 8.84906i) q^{82} +(-2.64003 - 3.04676i) q^{83} +(-1.10885 + 0.00566256i) q^{84} +(4.27123 - 2.74496i) q^{85} +(-1.70379 - 1.78688i) q^{86} +(-14.5339 - 4.19319i) q^{87} +(-9.35894 - 8.92373i) q^{88} +(6.74952 + 9.47837i) q^{89} +(-6.32010 - 0.241345i) q^{90} +(9.96201 - 1.92406i) q^{91} +(-0.589814 - 0.999403i) q^{92} +(10.4598 - 14.8363i) q^{93} +(5.98868 + 7.61522i) q^{94} +(-0.396449 - 4.15180i) q^{95} +(0.760817 - 2.23224i) q^{96} +(-4.36339 - 3.78090i) q^{97} +(-9.53749 - 4.34662i) q^{98} +(-5.60623 - 13.6297i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.556499	+	1.39007i	−0.393504	+	0.982925i	0.590859	+	0.806775i	$0.298789\pi$
$2$	−0.556499	+	1.39007i	−0.393504	+	0.982925i	−0.984363	+	0.176151i	$0.943635\pi$
$3$	−0.00816795	−	1.73203i	−0.00471577	−	0.999989i
$3$	−0.00816795	−	1.73203i	−0.00471577	−	0.999989i
$4$	−0.175125	−	0.166982i	−0.0875626	−	0.0834908i
$5$	−0.460513	−	1.33056i	−0.205948	−	0.595047i	0.793969	−	0.607958i	$-0.208011\pi$
$5$	−0.460513	−	1.33056i	−0.205948	−	0.595047i	−0.999917	+	0.0129116i	$0.995890\pi$
$6$	2.41218	+	0.952519i	0.984770	+	0.388864i
$7$	1.82653	+	1.91411i	0.690362	+	0.723464i
$7$	1.82653	+	1.91411i	0.690362	+	0.723464i
$8$	−2.39445	+	1.09351i	−0.846567	+	0.386614i
$9$	−2.99987	+	0.0282943i	−0.999956	+	0.00943143i
$10$	2.10585	+	0.100314i	0.665928	+	0.0317220i
$11$	1.82581	+	4.56066i	0.550503	+	1.37509i	0.899070	+	0.437806i	$0.144244\pi$
$11$	1.82581	+	4.56066i	0.550503	+	1.37509i	−0.348567	+	0.937284i	$0.613332\pi$
$12$	−0.287787	+	0.304686i	−0.0830769	+	0.0879553i
$13$	2.07329	−	3.22610i	0.575027	−	0.894759i	−0.424918	−	0.905232i	$-0.639697\pi$
$13$	2.07329	−	3.22610i	0.575027	−	0.894759i	0.999945	+	0.0104725i	$0.00333357\pi$
$14$	−3.67719	+	1.47379i	−0.982771	+	0.393888i
$15$	−2.30082	+	0.808491i	−0.594069	+	0.208751i
$16$	−0.210569	−	4.42038i	−0.0526422	−	1.10510i
$17$	0.850141	+	3.50433i	0.206189	+	0.849924i	0.977065	+	0.212939i	$0.0683036\pi$
$17$	0.850141	+	3.50433i	0.206189	+	0.849924i	−0.770876	+	0.636985i	$0.780181\pi$
$18$	1.63009	−	4.18576i	0.384216	−	0.986593i
$19$	2.87863	+	0.698348i	0.660403	+	0.160212i	0.551934	−	0.833888i	$-0.313890\pi$
$19$	2.87863	+	0.698348i	0.660403	+	0.160212i	0.108469	+	0.994100i	$0.465405\pi$
$20$	−0.141532	+	0.309913i	−0.0316476	+	0.0692986i
$21$	3.30037	−	3.17923i	0.720201	−	0.693766i
$22$	−7.35567			−1.56824
$23$	4.61427	+	1.30710i	0.962142	+	0.272548i
$23$	4.61427	+	1.30710i	0.962142	+	0.272548i
$24$	1.91355	+	4.13834i	0.390602	+	0.844734i
$25$	2.37193	−	1.86531i	0.474387	−	0.373062i
$26$	3.33071	+	4.67733i	0.653206	+	0.917300i
$27$	0.0735094	+	5.19563i	0.0141469	+	0.999900i
$28$	−0.000250229	−	0.640204i	−4.72889e−5	−	0.120987i
$29$	2.46049	−	8.37964i	0.456901	−	1.55606i	−0.333062	−	0.942905i	$-0.608082\pi$
$29$	2.46049	−	8.37964i	0.456901	−	1.55606i	0.789962	−	0.613156i	$-0.210100\pi$
$30$	0.156546	−	3.64821i	0.0285813	−	0.666070i
$31$	8.53717	+	6.07929i	1.53332	+	1.09187i	0.962670	+	0.270679i	$0.0872483\pi$
$31$	8.53717	+	6.07929i	1.53332	+	1.09187i	0.570651	+	0.821193i	$0.306691\pi$
$32$	1.28670	+	0.445331i	0.227458	+	0.0787241i
$33$	7.88429	−	3.19961i	1.37248	−	0.556981i
$34$	−5.34435	−	0.768401i	−0.916548	−	0.131780i
$35$	1.70570	−	3.31178i	0.288317	−	0.559793i
$36$	0.530077	+	0.495967i	0.0883461	+	0.0826612i
$37$	−6.38470	+	1.23055i	−1.04964	+	0.202301i	−0.684771	−	0.728759i	$-0.740098\pi$
$37$	−6.38470	+	1.23055i	−1.04964	+	0.202301i	−0.364867	+	0.931060i	$0.618886\pi$
$38$	−2.57270	+	3.61286i	−0.417348	+	0.586083i
$39$	−5.60464	−	3.56465i	−0.897461	−	0.570801i
$40$	2.55766	+	2.68240i	0.404402	+	0.424125i
$41$	−4.35421	+	5.02502i	−0.680013	+	0.784777i	−0.985908	−	0.167288i	$-0.946499\pi$
$41$	−4.35421	+	5.02502i	−0.680013	+	0.784777i	0.305895	+	0.952065i	$0.401044\pi$
$42$	2.58269	+	6.35698i	0.398518	+	0.980903i
$43$	−0.684988	+	1.49991i	−0.104460	+	0.228735i	−0.954644	−	0.297751i	$-0.903763\pi$
$43$	−0.684988	+	1.49991i	−0.104460	+	0.228735i	0.850184	+	0.526486i	$0.176491\pi$
$44$	0.441800	−	1.10356i	0.0666038	−	0.166368i
$45$	1.41912	+	3.97849i	0.211551	+	0.593078i
$46$	−4.38479	+	5.68675i	−0.646501	+	0.838465i
$47$	3.23508	−	5.60333i	0.471885	−	0.817329i	−0.527597	−	0.849495i	$-0.676907\pi$
$47$	3.23508	−	5.60333i	0.471885	−	0.817329i	0.999483	+	0.0321654i	$0.0102403\pi$
$48$	−7.65453	+	0.400817i	−1.10484	+	0.0578530i
$49$	−0.327607	+	6.99233i	−0.0468011	+	0.998904i
$50$	1.27293	+	4.33519i	0.180019	+	0.613088i
$51$	6.06266	−	1.50109i	0.848942	−	0.210195i
$52$	−0.901784	+	0.218770i	−0.125055	+	0.0303380i
$53$	−0.700686	+	1.35914i	−0.0962466	+	0.186692i	−0.932043	−	0.362346i	$-0.881976\pi$
$53$	−0.700686	+	1.35914i	−0.0962466	+	0.186692i	0.835797	+	0.549039i	$0.185006\pi$
$54$	−7.26318	−	2.78918i	−0.988394	−	0.379559i
$55$	5.22744	−	4.52960i	0.704868	−	0.610771i
$56$	−6.46662	−	2.58591i	−0.864139	−	0.345557i
$57$	1.18605	−	4.99158i	0.157096	−	0.661152i
$58$	10.2790	+	8.08350i	1.34970	+	1.06142i
$59$	0.278042	−	5.83682i	0.0361980	−	0.759889i	−0.905686	−	0.423950i	$-0.860643\pi$
$59$	0.278042	−	5.83682i	0.0361980	−	0.759889i	0.941884	−	0.335939i	$-0.109054\pi$
$60$	0.537934	+	0.242607i	0.0694470	+	0.0313204i
$61$	0.473986	−	4.96381i	0.0606877	−	0.635551i	−0.913045	−	0.407858i	$-0.866276\pi$
$61$	0.473986	−	4.96381i	0.0606877	−	0.635551i	0.973733	−	0.227693i	$-0.0731181\pi$
$62$	−13.2015	+	8.48411i	−1.67660	+	1.07748i
$63$	−5.53349	−	5.69038i	−0.697154	−	0.716921i
$64$	4.46095	−	5.14821i	0.557619	−	0.643527i
$65$	−5.24731	−	1.27298i	−0.650849	−	0.157894i
$66$	0.0600808	+	12.7403i	0.00739543	+	1.56822i
$67$	−12.2177	+	9.60812i	−1.49263	+	1.17382i	−0.552260	+	0.833672i	$0.686234\pi$
$67$	−12.2177	+	9.60812i	−1.49263	+	1.17382i	−0.940372	+	0.340147i	$0.889523\pi$
$68$	0.436277	−	0.755654i	0.0529063	−	0.0916365i
$69$	2.22624	−	8.00274i	0.268008	−	0.963417i
$70$	3.65437	+	4.21404i	0.436781	+	0.503675i
$71$	−6.77695	+	0.974379i	−0.804276	+	0.115637i	−0.532179	−	0.846632i	$-0.678626\pi$
$71$	−6.77695	+	0.974379i	−0.804276	+	0.115637i	−0.272098	+	0.962270i	$0.587717\pi$
$72$	7.15210	−	3.34813i	0.842883	−	0.394581i
$73$	−3.95650	+	4.14946i	−0.463073	+	0.485657i	−0.913317	−	0.407248i	$-0.866488\pi$
$73$	−3.95650	+	4.14946i	−0.463073	+	0.485657i	0.450244	+	0.892905i	$0.351337\pi$
$74$	1.84253	−	9.55995i	0.214190	−	1.11132i
$75$	−3.25015	−	4.09303i	−0.375295	−	0.472622i
$76$	−0.387510	−	0.602977i	−0.0444504	−	0.0691662i
$77$	−5.39469	+	11.8250i	−0.614782	+	1.34758i
$78$	8.07407	−	5.80710i	0.914209	−	0.657525i
$79$	−7.04636	+	3.63265i	−0.792778	+	0.408705i	−0.806525	−	0.591200i	$-0.798654\pi$
$79$	−7.04636	+	3.63265i	−0.792778	+	0.408705i	0.0137470	+	0.999906i	$0.495624\pi$
$80$	−5.78464	+	2.31582i	−0.646742	+	0.258917i
$81$	8.99840	−	0.169758i	0.999822	−	0.0188620i
$82$	−4.56201	−	8.84906i	−0.503789	−	0.977215i
$83$	−2.64003	−	3.04676i	−0.289781	−	0.334425i	0.592129	−	0.805843i	$-0.298288\pi$
$83$	−2.64003	−	3.04676i	−0.289781	−	0.334425i	−0.881910	+	0.471418i	$0.843742\pi$
$84$	−1.10885	+	0.00566256i	−0.120986	+	0.000617836i
$85$	4.27123	−	2.74496i	0.463280	−	0.297732i
$86$	−1.70379	−	1.78688i	−0.183724	−	0.192684i
$87$	−14.5339	−	4.19319i	−1.55820	−	0.449558i
$88$	−9.35894	−	8.92373i	−0.997666	−	0.951273i
$89$	6.74952	+	9.47837i	0.715447	+	1.00471i	0.998954	+	0.0457350i	$0.0145630\pi$
$89$	6.74952	+	9.47837i	0.715447	+	1.00471i	−0.283506	+	0.958970i	$0.591498\pi$
$90$	−6.32010	−	0.241345i	−0.666197	−	0.0254400i
$91$	9.96201	−	1.92406i	1.04430	−	0.201696i
$92$	−0.589814	−	0.999403i	−0.0614924	−	0.104195i
$93$	10.4598	−	14.8363i	1.08463	−	1.53845i
$94$	5.98868	+	7.61522i	0.617685	+	0.785450i
$95$	−0.396449	−	4.15180i	−0.0406748	−	0.425966i
$96$	0.760817	−	2.23224i	0.0776506	−	0.227827i
$97$	−4.36339	−	3.78090i	−0.443035	−	0.383892i	0.404581	−	0.914502i	$-0.367417\pi$
$97$	−4.36339	−	3.78090i	−0.443035	−	0.383892i	−0.847616	+	0.530610i	$0.821963\pi$
$98$	−9.53749	−	4.34662i	−0.963432	−	0.439075i
$99$	−5.60623	−	13.6297i	−0.563447	−	1.36984i
$100$	−0.726858	−	0.0694065i	−0.0726858	−	0.00694065i
$101$	3.86021	−	11.1534i	0.384106	−	1.10980i	−0.572873	−	0.819644i	$-0.694171\pi$
$101$	3.86021	−	11.1534i	0.384106	−	1.10980i	0.956979	−	0.290157i	$-0.0937074\pi$
$102$	−1.28724	+	9.26286i	−0.127456	+	0.917159i
$103$	5.81011	−	7.38815i	0.572487	−	0.727977i	−0.410457	−	0.911880i	$-0.634631\pi$
$103$	5.81011	−	7.38815i	0.572487	−	0.727977i	0.982944	+	0.183903i	$0.0588733\pi$
$104$	−1.43662	+	9.99190i	−0.140872	+	0.979787i
$105$	−5.75004	−	2.92728i	−0.561147	−	0.285674i
$106$	−1.49936	−	1.73036i	−0.145631	−	0.168067i
$107$	1.19155	−	12.4785i	0.115191	−	1.20634i	−0.734333	−	0.678789i	$-0.762505\pi$
$107$	1.19155	−	12.4785i	0.115191	−	1.20634i	0.849525	−	0.527549i	$-0.176889\pi$
$108$	0.854701	−	0.922161i	0.0822437	−	0.0887350i
$109$	1.03802	+	4.27877i	0.0994241	+	0.409832i	0.999674	−	0.0255423i	$-0.00813125\pi$
$109$	1.03802	+	4.27877i	0.0994241	+	0.409832i	−0.900250	+	0.435374i	$0.856616\pi$
$110$	3.38738	+	9.78720i	0.322974	+	0.933173i
$111$	2.18350	+	11.0484i	0.207249	+	1.04867i
$112$	8.07648	−	8.47700i	0.763155	−	0.801001i
$113$	8.45133	−	1.21512i	0.795035	−	0.114309i	0.267183	−	0.963646i	$-0.413907\pi$
$113$	8.45133	−	1.21512i	0.795035	−	0.114309i	0.527851	+	0.849337i	$0.322998\pi$
$114$	6.27860	+	4.42650i	0.588045	+	0.414579i
$115$	−0.385756	−	6.74152i	−0.0359719	−	0.628650i
$116$	−1.83014	+	1.05663i	−0.169924	+	0.0981057i
$117$	−6.12831	+	9.73653i	−0.566562	+	0.900143i
$118$	7.95884	+	3.63468i	0.732670	+	0.334599i
$119$	−5.15485	+	8.02800i	−0.472544	+	0.735926i
$120$	4.62511	−	4.45186i	0.422213	−	0.406397i
$121$	−9.50492	+	9.06292i	−0.864084	+	0.823902i
$122$	6.63625	+	3.42123i	0.600818	+	0.309743i
$123$	8.73907	+	7.50058i	0.787975	+	0.676305i
$124$	−0.479944	−	2.49019i	−0.0431002	−	0.223625i
$125$	−9.49666	−	6.10314i	−0.849407	−	0.545881i
$126$	10.9894	−	4.52523i	0.979013	−	0.403139i
$127$	1.82025	−	12.6602i	0.161522	−	1.12341i	−0.734246	−	0.678884i	$-0.762464\pi$
$127$	1.82025	−	12.6602i	0.161522	−	1.12341i	0.895767	−	0.444523i	$-0.146627\pi$
$128$	5.92167	+	11.4864i	0.523407	+	1.01527i
$129$	2.60349	+	1.17417i	0.229225	+	0.103380i
$130$	4.68965	−	6.58570i	0.411310	−	0.577604i
$131$	−0.564873	−	11.8581i	−0.0493532	−	1.03605i	−0.878718	−	0.477342i	$-0.841600\pi$
$131$	−0.564873	−	11.8581i	−0.0493532	−	1.03605i	0.829364	−	0.558708i	$-0.188703\pi$
$132$	−1.91501	−	0.756197i	−0.166681	−	0.0658185i
$133$	3.92118	+	6.78556i	0.340010	+	0.588383i
$134$	−6.55678	−	22.3303i	−0.566420	−	1.92905i
$135$	6.87927	−	2.49047i	0.592074	−	0.214345i
$136$	−5.86764	−	7.46131i	−0.503146	−	0.639802i
$137$	−0.805582	+	0.465103i	−0.0688255	+	0.0397364i	−0.534018	−	0.845473i	$-0.679318\pi$
$137$	−0.805582	+	0.465103i	−0.0688255	+	0.0397364i	0.465192	+	0.885210i	$0.345985\pi$
$138$	9.88544	+	7.54814i	0.841504	+	0.642540i
$139$			12.3234i			1.04525i	0.852562	+	0.522626i	$0.175048\pi$
$139$			12.3234i			1.04525i	−0.852562	+	0.522626i	$0.824952\pi$
$140$	−0.851718	+	0.295155i	−0.0719833	+	0.0249452i
$141$	−9.73156	−	5.55750i	−0.819545	−	0.468026i
$142$	2.41691	−	9.96265i	0.202823	−	0.836047i
$143$	18.4986	+	3.56531i	1.54693	+	0.298146i
$144$	0.756750	+	13.2546i	0.0630625	+	1.10455i
$145$	−12.2827	+	0.585099i	−1.02003	+	0.0485898i
$146$	−3.56623	−	7.80896i	−0.295144	−	0.646274i
$147$	12.1136	+	0.510314i	0.999114	+	0.0420899i
$148$	1.32360	+	0.850626i	0.108799	+	0.0699211i
$149$	−9.81285	+	12.4781i	−0.803900	+	1.02224i	0.195239	+	0.980756i	$0.437452\pi$
$149$	−9.81285	+	12.4781i	−0.803900	+	1.02224i	−0.999139	+	0.0414866i	$0.986791\pi$
$150$	7.49829	−	2.24016i	0.612233	−	0.182908i
$151$	−0.0281917	+	0.591816i	−0.00229421	+	0.0481613i	−0.999724	−	0.0234874i	$-0.992523\pi$
$151$	−0.0281917	+	0.591816i	−0.00229421	+	0.0481613i	0.997430	+	0.0716487i	$0.0228261\pi$
$152$	−7.65640	+	1.47565i	−0.621016	+	0.119691i
$153$	−2.64946	−	10.4885i	−0.214196	−	0.847942i
$154$	−13.4353	−	14.0795i	−1.08265	−	1.13456i
$155$	4.15741	−	14.1588i	0.333931	−	1.13727i
$156$	0.386283	+	1.56013i	0.0309274	+	0.124910i
$157$	4.00382	−	4.19908i	0.319539	−	0.335123i	−0.544300	−	0.838891i	$-0.683205\pi$
$157$	4.00382	−	4.19908i	0.319539	−	0.335123i	0.863839	+	0.503767i	$0.168053\pi$
$158$	−1.12834	−	11.8165i	−0.0897657	−	0.940069i
$159$	2.35980	+	1.20251i	0.187144	+	0.0953651i
$160$		−	1.91712i		−	0.151561i
$161$	5.92616	+	11.2197i	0.467047	+	0.884232i
$162$	−4.77162	+	12.6028i	−0.374894	+	0.990173i
$163$	−21.7997	−	8.72727i	−1.70748	−	0.683573i	−0.707744	−	0.706469i	$-0.750287\pi$
$163$	−21.7997	−	8.72727i	−1.70748	−	0.683573i	−0.999738	+	0.0228966i	$0.992711\pi$
$164$	1.60162	−	0.152936i	0.125065	−	0.0119423i
$165$	−7.88811	−	9.01709i	−0.614089	−	0.701980i
$166$	5.70437	−	1.97430i	0.442745	−	0.153235i
$167$	−14.2007	−	4.16969i	−1.09888	−	0.322660i	−0.318472	−	0.947932i	$-0.603170\pi$
$167$	−14.2007	−	4.16969i	−1.09888	−	0.322660i	−0.780407	+	0.625272i	$0.784988\pi$
$168$	−4.42606	+	11.2215i	−0.341478	+	0.865759i
$169$	−0.708800	−	1.55206i	−0.0545231	−	0.119389i
$170$	1.43873	+	7.46486i	0.110346	+	0.572529i
$171$	−8.65527	−	2.01350i	−0.661885	−	0.153976i
$172$	0.370417	−	0.148292i	0.0282440	−	0.0113072i
$173$	−13.4896	−	10.6083i	−1.02560	−	0.806537i	−0.0442950	−	0.999018i	$-0.514104\pi$
$173$	−13.4896	−	10.6083i	−1.02560	−	0.806537i	−0.981301	+	0.192481i	$0.938347\pi$
$174$	13.9169	−	17.8696i	1.05504	−	1.35469i
$175$	7.90280	+	1.13310i	0.597396	+	0.0856542i
$176$	19.7754	−	9.03112i	1.49063	−	0.680746i
$177$	−10.1118	−	0.433903i	−0.760052	−	0.0326141i
$178$	−16.9317	+	4.10758i	−1.26908	+	0.307876i
$179$	3.17844	−	16.4913i	0.237568	−	1.23262i	−0.645641	−	0.763641i	$-0.723410\pi$
$179$	3.17844	−	16.4913i	0.237568	−	1.23262i	0.883209	−	0.468979i	$-0.155378\pi$
$180$	0.415809	−	0.933701i	0.0309926	−	0.0695940i
$181$	−7.12221	−	3.25260i	−0.529389	−	0.241764i	0.132744	−	0.991150i	$-0.457621\pi$
$181$	−7.12221	−	3.25260i	−0.529389	−	0.241764i	−0.662133	+	0.749386i	$0.730349\pi$
$182$	−2.86928	+	14.9186i	−0.212685	+	1.10584i
$183$	−8.60135	−	0.780415i	−0.635830	−	0.0576900i
$184$	−12.4780	+	1.91597i	−0.919889	+	0.141247i
$185$	4.57756	+	7.92857i	0.336549	+	0.582920i
$186$	14.8026	+	22.7962i	1.08538	+	1.67150i
$187$	−14.4298	+	10.2754i	−1.05521	+	0.751414i
$188$	−1.50220	+	0.441085i	−0.109559	+	0.0321694i
$189$	−9.81073	+	9.63066i	−0.713625	+	0.700528i
$190$	5.99191	+	1.75938i	0.434699	+	0.127639i
$191$	16.6886	−	0.794977i	1.20755	−	0.0575225i	0.565868	−	0.824496i	$-0.308541\pi$
$191$	16.6886	−	0.794977i	1.20755	−	0.0575225i	0.641679	+	0.766974i	$0.278238\pi$
$192$	−8.95331	−	7.68446i	−0.646149	−	0.554578i
$193$	5.03694	−	14.5533i	0.362567	−	1.04757i	−0.605276	−	0.796016i	$-0.706937\pi$
$193$	5.03694	−	14.5533i	0.362567	−	1.04757i	0.967843	−	0.251554i	$-0.0809415\pi$
$194$	7.68391	−	3.96133i	0.551673	−	0.284407i
$195$	−2.16199	+	9.09891i	−0.154823	+	0.651586i
$196$	1.22496	−	1.16983i	0.0874973	−	0.0835592i
$197$	−5.03082	+	7.82810i	−0.358431	+	0.557729i	−0.972904	−	0.231208i	$-0.925732\pi$
$197$	−5.03082	+	7.82810i	−0.358431	+	0.557729i	0.614473	+	0.788938i	$0.289369\pi$
$198$	22.0660	−	0.208124i	1.56817	−	0.0147907i
$199$	16.1841	+	11.5246i	1.14726	+	0.816960i	0.985467	−	0.169865i	$-0.0543331\pi$
$199$	16.1841	+	11.5246i	1.14726	+	0.816960i	0.161793	+	0.986825i	$0.448272\pi$
$200$	−3.63975	+	7.06013i	−0.257369	+	0.499227i
$201$	16.7414	+	21.0830i	1.18084	+	1.48708i
$202$	13.3557	+	11.5728i	0.939704	+	0.814258i
$203$	20.5337	−	10.5960i	1.44118	−	0.743694i
$204$	−1.31238	−	0.749473i	−0.0918849	−	0.0524736i
$205$	8.69129	+	3.47947i	0.607026	+	0.243017i
$206$	7.03671	+	12.1879i	0.490271	+	0.849174i
$207$	−13.8792	−	3.79056i	−0.964670	−	0.263462i
$208$	−14.6972	−	8.48542i	−1.01907	−	0.588358i
$209$	2.07091	+	14.4035i	0.143248	+	0.996311i
$210$	7.26901	−	6.36391i	0.501609	−	0.439152i
$211$	−5.65383	+	1.66011i	−0.389226	+	0.114287i	−0.470489	−	0.882406i	$-0.655923\pi$
$211$	−5.65383	+	1.66011i	−0.389226	+	0.114287i	0.0812636	+	0.996693i	$0.474104\pi$
$212$	0.349659	−	0.121018i	0.0240147	−	0.00831156i
$213$	1.74301	+	11.7299i	0.119429	+	0.803722i
$214$	16.6828	+	8.60058i	1.14041	+	0.587923i
$215$	2.31118	+	0.220691i	0.157621	+	0.0150510i
$216$	−5.85749	−	12.3603i	−0.398552	−	0.841013i
$217$	3.95695	+	27.4450i	0.268615	+	1.86309i
$218$	−6.52543	−	0.938215i	−0.441958	−	0.0635439i
$219$	7.21930	+	6.81889i	0.487835	+	0.460778i
$220$	−1.67182	−	0.0796384i	−0.112714	−	0.00536922i
$221$	13.0679	+	4.52284i	0.879042	+	0.304239i
$222$	−16.5732	−	3.11323i	−1.11232	−	0.208947i
$223$	−7.43777	−	11.5734i	−0.498070	−	0.775012i	0.497656	−	0.867375i	$-0.334194\pi$
$223$	−7.43777	−	11.5734i	−0.498070	−	0.775012i	−0.995725	+	0.0923630i	$0.970558\pi$
$224$	1.49778	+	3.27629i	0.100074	+	0.218906i
$225$	−7.06271	+	5.66279i	−0.470847	+	0.377520i
$226$	−3.01406	+	12.4241i	−0.200492	+	0.826440i
$227$	4.90887	−	0.468740i	0.325813	−	0.0311114i	0.0691318	−	0.997608i	$-0.477977\pi$
$227$	4.90887	−	0.468740i	0.325813	−	0.0311114i	0.256681	+	0.966496i	$0.417371\pi$
$228$	−1.04121	+	0.676104i	−0.0689558	+	0.0447761i
$229$	−1.88025	−	1.08557i	−0.124251	−	0.0717362i	0.436586	−	0.899662i	$-0.356187\pi$
$229$	−1.88025	−	1.08557i	−0.124251	−	0.0717362i	−0.560837	+	0.827926i	$0.689521\pi$
$230$	9.58583	+	3.21542i	0.632071	+	0.212019i
$231$	20.5253	+	9.24719i	1.35046	+	0.608420i
$232$	3.27171	+	22.7552i	0.214798	+	1.49395i
$233$	−14.1352	+	10.0657i	−0.926031	+	0.659424i	−0.940253	−	0.340475i	$-0.889412\pi$
$233$	−14.1352	+	10.0657i	−0.926031	+	0.659424i	0.0142226	+	0.999899i	$0.495473\pi$
$234$	−10.1240	−	13.9371i	−0.661828	−	0.911098i
$235$	−8.94539	−	1.72408i	−0.583533	−	0.112467i
$236$	−1.02333	+	0.975746i	−0.0666133	+	0.0635157i
$237$	6.34942	+	12.1749i	0.412439	+	0.790842i
$238$	−8.29079	−	11.6332i	−0.537412	−	0.754066i
$239$	−12.5006	+	10.8318i	−0.808595	+	0.700652i	−0.957574	−	0.288189i	$-0.906947\pi$
$239$	−12.5006	+	10.8318i	−0.808595	+	0.700652i	0.148978	+	0.988840i	$0.452401\pi$
$240$	4.05832	+	10.0003i	0.261964	+	0.645514i
$241$	−2.73790	−	6.83894i	−0.176364	−	0.440535i	0.813677	−	0.581317i	$-0.197462\pi$
$241$	−2.73790	−	6.83894i	−0.176364	−	0.440535i	−0.990041	+	0.140782i	$0.955038\pi$
$242$	−7.30859	−	18.2560i	−0.469814	−	1.17354i
$243$	−0.367525	−	15.5841i	−0.0235767	−	0.999722i
$244$	−0.911871	+	0.790141i	−0.0583766	+	0.0505836i
$245$	9.45462	−	2.78416i	0.604033	−	0.177873i
$246$	−15.2896	+	7.97382i	−0.974828	+	0.508392i
$247$	8.22118	−	7.83888i	0.523101	−	0.498776i
$248$	−27.0896	−	5.22109i	−1.72019	−	0.331540i
$249$	−5.25552	+	4.59750i	−0.333055	+	0.291355i
$250$	13.7686	−	9.80461i	0.870805	−	0.620098i
$251$	2.02733	+	14.1004i	0.127964	+	0.890008i	0.948130	+	0.317882i	$0.102972\pi$
$251$	2.02733	+	14.1004i	0.127964	+	0.890008i	−0.820166	+	0.572125i	$0.806119\pi$
$252$	0.0188648	+	1.92052i	0.00118837	+	0.120981i
$253$	2.46357	+	23.4306i	0.154883	+	1.47307i
$254$	16.5855	+	9.57563i	1.04067	+	0.600828i
$255$	−4.78924	−	7.37549i	−0.299914	−	0.461871i
$256$	−5.69988	+	0.544273i	−0.356243	+	0.0340170i
$257$	−1.67104	+	6.88813i	−0.104237	+	0.429670i	−0.999886	−	0.0150910i	$-0.995196\pi$
$257$	−1.67104	+	6.88813i	−0.104237	+	0.429670i	0.895649	+	0.444761i	$0.146711\pi$
$258$	−3.08101	+	2.96561i	−0.191816	+	0.184631i
$259$	−14.0172	−	9.97336i	−0.870988	−	0.619715i
$260$	0.706372	+	1.09914i	0.0438073	+	0.0681655i
$261$	−7.14403	+	25.2074i	−0.442204	+	1.56030i
$262$	16.7979	+	5.81383i	1.03778	+	0.359179i
$263$	1.11608	+	0.0531655i	0.0688206	+	0.00327833i	0.0819640	−	0.996635i	$-0.473881\pi$
$263$	1.11608	+	0.0531655i	0.0688206	+	0.00327833i	−0.0131434	+	0.999914i	$0.504184\pi$
$264$	−15.3797	+	16.2829i	−0.946558	+	1.00214i
$265$	2.13110	+	0.306406i	0.130912	+	0.0188224i
$266$	−11.6145	+	1.67455i	−0.712131	+	0.102673i
$267$	16.3617	−	11.7678i	1.00132	−	0.720177i
$268$	3.74401	+	0.357510i	0.228702	+	0.0218384i
$269$	17.9009	+	9.22856i	1.09144	+	0.562675i	0.907410	−	0.420246i	$-0.138056\pi$
$269$	17.9009	+	9.22856i	1.09144	+	0.562675i	0.184028	+	0.982921i	$0.441086\pi$
$270$	−0.366395	+	10.9486i	−0.0222981	+	0.666310i
$271$	−0.651708	+	0.225558i	−0.0395884	+	0.0137017i	−0.346790	−	0.937943i	$-0.612728\pi$
$271$	−0.651708	+	0.225558i	−0.0395884	+	0.0137017i	0.307202	+	0.951644i	$0.400607\pi$
$272$	15.3115	−	4.49585i	0.928394	−	0.272601i
$273$	−3.41390	−	17.2388i	−0.206619	−	1.04334i
$274$	−0.198219	−	1.37864i	−0.0119748	−	0.0832867i
$275$	12.8377	+	7.41187i	0.774145	+	0.446953i
$276$	−1.72618	+	1.02974i	−0.103904	+	0.0619831i
$277$	1.42286	+	2.46446i	0.0854913	+	0.148075i	0.905600	−	0.424132i	$-0.139421\pi$
$277$	1.42286	+	2.46446i	0.0854913	+	0.148075i	−0.820109	+	0.572207i	$0.806087\pi$
$278$	−17.1303	−	6.85793i	−1.02741	−	0.411311i
$279$	−25.7824	−	17.9955i	−1.54355	−	1.07736i
$280$	−0.462761	+	9.79511i	−0.0276553	+	0.585370i
$281$	5.11568	+	4.43276i	0.305176	+	0.264436i	0.793962	−	0.607967i	$-0.208015\pi$
$281$	5.11568	+	4.43276i	0.305176	+	0.264436i	−0.488786	+	0.872403i	$0.662560\pi$
$282$	13.1409	−	10.4348i	0.782529	−	0.621382i
$283$	4.62037	−	8.96226i	0.274652	−	0.532751i	−0.710655	−	0.703540i	$-0.751601\pi$
$283$	4.62037	−	8.96226i	0.274652	−	0.532751i	0.985308	+	0.170789i	$0.0546317\pi$
$284$	1.34952	+	0.960988i	0.0800792	+	0.0570241i
$285$	−7.18782	+	0.720574i	−0.425770	+	0.0426831i
$286$	−15.2504	+	23.7301i	−0.901777	+	1.40319i
$287$	−17.5715	+	0.843918i	−1.03721	+	0.0498149i
$288$	−3.87252	−	1.29953i	−0.228191	−	0.0765753i
$289$	3.55263	−	1.83151i	0.208978	−	0.107736i
$290$	6.02200	−	17.3994i	0.353624	−	1.02173i
$291$	−6.51299	+	7.58841i	−0.381798	+	0.444840i
$292$	1.38576	−	0.0660121i	0.0810958	−	0.00386307i
$293$	−20.8841	−	6.13212i	−1.22006	−	0.358242i	−0.392570	−	0.919722i	$-0.628414\pi$
$293$	−20.8841	−	6.13212i	−1.22006	−	0.358242i	−0.827490	+	0.561480i	$0.810232\pi$
$294$	−7.45058	+	16.5547i	−0.434526	+	0.965492i
$295$	−7.89431	+	2.31798i	−0.459624	+	0.134958i
$296$	13.9422	−	9.92822i	0.810376	−	0.577066i
$297$	−23.5613	+	9.82150i	−1.36716	+	0.569901i
$298$	−11.8845	−	20.5845i	−0.688450	−	1.19243i
$299$	13.7835	−	12.1761i	0.797123	−	0.704163i
$300$	−0.114277	+	1.25951i	−0.00659780	+	0.0727177i
$301$	−4.12214	+	1.42849i	−0.237596	+	0.0823369i
$302$	−0.806975	−	0.368533i	−0.0464362	−	0.0212067i
$303$	−19.3495	−	6.59491i	−1.11160	−	0.378868i
$304$	2.48082	−	12.8717i	0.142285	−	0.738243i
$305$	−6.82295	+	1.65523i	−0.390681	+	0.0947782i
$306$	16.0541	+	2.15389i	0.917750	+	0.123130i
$307$	15.5075	−	7.08204i	0.885060	−	0.404193i	0.0795882	−	0.996828i	$-0.474639\pi$
$307$	15.5075	−	7.08204i	0.885060	−	0.404193i	0.805471	+	0.592635i	$0.201912\pi$
$308$	2.91929	−	1.17003i	0.166342	−	0.0666688i
$309$	−12.8440	−	10.0029i	−0.730668	−	0.569048i
$310$	17.3681	+	13.6585i	0.986444	+	0.775748i
$311$	17.9956	−	7.20433i	1.02043	−	0.408520i	0.199716	−	0.979854i	$-0.435998\pi$
$311$	17.9956	−	7.20433i	1.02043	−	0.408520i	0.820718	+	0.571334i	$0.193574\pi$
$312$	17.3180	+	2.40666i	0.980440	+	0.136250i
$313$	0.125346	+	0.650355i	0.00708496	+	0.0367602i	0.985299	−	0.170838i	$-0.0546475\pi$
$313$	0.125346	+	0.650355i	0.00708496	+	0.0367602i	−0.978214	+	0.207598i	$0.933435\pi$
$314$	3.60888	+	7.90235i	0.203661	+	0.445956i
$315$	−5.02318	+	9.98317i	−0.283024	+	0.562488i
$316$	1.84058	+	0.540444i	0.103541	+	0.0304023i
$317$	15.1515	−	5.24398i	0.850992	−	0.294531i	0.133458	−	0.991054i	$-0.457392\pi$
$317$	15.1515	−	5.24398i	0.850992	−	0.294531i	0.717534	+	0.696523i	$0.245271\pi$
$318$	−2.98479	+	2.61108i	−0.167379	+	0.146422i
$319$	42.7091	−	4.07822i	2.39125	−	0.228336i
$320$	−8.90436	−	3.56477i	−0.497769	−	0.199277i
$321$	−21.6228	−	1.96188i	−1.20687	−	0.109501i
$322$	−18.8940	+	1.99404i	−1.05292	+	0.111124i
$323$			10.6814i			0.594327i
$324$	−1.60419	−	1.47284i	−0.0891218	−	0.0818243i
$325$	−1.09997	−	11.5194i	−0.0610155	−	0.638983i
$326$	24.2630	−	25.4463i	1.34380	−	1.40934i
$327$	7.40249	−	1.83283i	0.409358	−	0.101356i
$328$	4.93103	−	16.7936i	0.272271	−	0.927269i
$329$	16.6343	−	4.04233i	0.917080	−	0.222861i
$330$	16.9241	−	5.94700i	0.931640	−	0.327371i
$331$	−1.01954	+	0.196499i	−0.0560387	+	0.0108006i	−0.217194	−	0.976129i	$-0.569690\pi$
$331$	−1.01954	+	0.196499i	−0.0560387	+	0.0108006i	0.161155	+	0.986929i	$0.448478\pi$
$332$	−0.0464164	+	0.974400i	−0.00254743	+	0.0534772i
$333$	19.1184	−	3.87214i	1.04768	−	0.212192i
$334$	13.6988	−	17.4194i	0.749564	−	0.953148i
$335$	18.4106	+	11.8318i	1.00588	+	0.646441i
$336$	−14.7484	−	13.9195i	−0.804591	−	0.759370i
$337$	−5.91271	−	12.9470i	−0.322086	−	0.705270i	0.677455	−	0.735564i	$-0.263083\pi$
$337$	−5.91271	−	12.9470i	−0.322086	−	0.705270i	−0.999541	+	0.0302941i	$0.990356\pi$
$338$	2.55191	−	0.121562i	0.138805	−	0.00661212i
$339$	−2.17365	−	14.6280i	−0.118057	−	0.794487i
$340$	−1.20636	−	0.232506i	−0.0654239	−	0.0126094i
$341$	−12.1383	+	50.0347i	−0.657325	+	2.70953i
$342$	7.61555	−	10.9109i	0.411802	−	0.589993i
$343$	−13.9824	+	12.1446i	−0.754981	+	0.655746i
$344$		−	4.34052i		−	0.234025i
$345$	−11.6734	+	0.723205i	−0.628474	+	0.0389361i
$346$	22.2532	−	12.8479i	1.19634	−	0.690708i
$347$	−0.973274	−	1.23762i	−0.0522481	−	0.0664388i	0.759227	−	0.650826i	$-0.225577\pi$
$347$	−0.973274	−	1.23762i	−0.0522481	−	0.0664388i	−0.811475	+	0.584387i	$0.801335\pi$
$348$	1.84507	+	3.16123i	0.0989059	+	0.169460i
$349$	−6.60265	−	22.4866i	−0.353432	−	1.20368i	−0.923989	−	0.382420i	$-0.875091\pi$
$349$	−6.60265	−	22.4866i	−0.353432	−	1.20368i	0.570557	−	0.821258i	$-0.306727\pi$
$350$	−5.97298	+	10.3548i	−0.319269	+	0.553490i
$351$	16.9140	+	10.5349i	0.902804	+	0.562311i
$352$	0.318269	+	6.68128i	0.0169638	+	0.356113i
$353$	4.79051	−	6.72732i	0.254973	−	0.358059i	−0.667172	−	0.744904i	$-0.732495\pi$
$353$	4.79051	−	6.72732i	0.254973	−	0.358059i	0.922145	+	0.386844i	$0.126435\pi$
$354$	6.23037	−	13.8146i	0.331140	−	0.734240i
$355$	4.41735	+	8.56846i	0.234449	+	0.454767i
$356$	0.400702	−	2.78695i	0.0212372	−	0.147708i
$357$	13.9469	+	8.86279i	0.738146	+	0.469069i
$358$	21.1552	+	13.5957i	1.11809	+	0.718553i
$359$	5.22400	+	27.1047i	0.275712	+	1.43053i	0.810597	+	0.585605i	$0.199143\pi$
$359$	5.22400	+	27.1047i	0.275712	+	1.43053i	−0.534885	+	0.844925i	$0.679645\pi$
$360$	−7.74854	−	7.97447i	−0.408384	−	0.420292i
$361$	−9.08904	−	4.68573i	−0.478371	−	0.246617i
$362$	8.48483	−	8.09027i	0.445953	−	0.425215i
$363$	15.7749	+	16.3888i	0.827968	+	0.860189i
$364$	−2.06588	−	1.32652i	−0.108282	−	0.0695286i
$365$	7.34314	+	3.35350i	0.384357	+	0.175530i
$366$	5.87147	−	11.5221i	0.306906	−	0.602272i
$367$	2.11911	−	1.22347i	0.110617	−	0.0638646i	−0.443671	−	0.896190i	$-0.646324\pi$
$367$	2.11911	−	1.22347i	0.110617	−	0.0638646i	0.554288	+	0.832325i	$0.312991\pi$
$368$	4.80625	−	20.6721i	0.250543	−	1.07761i
$369$	12.9199	−	15.1976i	0.672581	−	0.791156i
$370$	−13.5686	+	1.95088i	−0.705400	+	0.101421i
$371$	−3.88136	+	1.14132i	−0.201510	+	0.0592543i
$372$	−4.30916	+	0.851618i	−0.223419	+	0.0441543i
$373$	3.62892	+	10.4851i	0.187898	+	0.542896i	0.999124	−	0.0418363i	$-0.0133208\pi$
$373$	3.62892	+	10.4851i	0.187898	+	0.542896i	−0.811226	+	0.584732i	$0.801200\pi$
$374$	−6.25336	−	25.7767i	−0.323353	−	1.33288i
$375$	−10.4933	+	16.4984i	−0.541869	+	0.851972i
$376$	−1.61896	+	16.9545i	−0.0834914	+	0.874361i
$377$	−21.9323	−	25.3112i	−1.12957	−	1.30359i
$378$	−7.92760	−	18.9970i	−0.407752	−	0.977101i
$379$	0.115836	−	0.805657i	0.00595009	−	0.0413838i	−0.986630	−	0.162976i	$-0.947891\pi$
$379$	0.115836	−	0.805657i	0.00595009	−	0.0413838i	0.992580	+	0.121592i	$0.0387999\pi$
$380$	−0.623846	+	0.793285i	−0.0320026	+	0.0406947i
$381$	−21.9426	−	3.04933i	−1.12416	−	0.156222i
$382$	−8.18212	+	23.6407i	−0.418634	+	1.20956i
$383$	11.7770	+	1.12457i	0.601776	+	0.0574627i	0.391498	−	0.920179i	$-0.371957\pi$
$383$	11.7770	+	1.12457i	0.601776	+	0.0574627i	0.210278	+	0.977642i	$0.432563\pi$
$384$	19.8465	−	10.3503i	1.01279	−	0.528189i
$385$	18.2182	+	1.73244i	0.928485	+	0.0882934i
$386$	17.4270	+	15.1006i	0.887010	+	0.768599i
$387$	2.01243	−	4.51892i	0.102298	−	0.229710i
$388$	0.132799	+	1.39073i	0.00674185	+	0.0706039i
$389$	−10.9549	−	13.9304i	−0.555438	−	0.706297i	0.424539	−	0.905410i	$-0.360436\pi$
$389$	−10.9549	−	13.9304i	−0.555438	−	0.706297i	−0.979977	+	0.199113i	$0.936194\pi$
$390$	−11.4449	−	8.06884i	−0.579537	−	0.408581i
$391$	−0.657713	+	17.2811i	−0.0332620	+	0.873944i
$392$	−6.86174	−	17.1010i	−0.346570	−	0.863733i
$393$	−20.5341	+	1.07523i	−1.03581	+	0.0542384i
$394$	−8.08194	−	11.3495i	−0.407162	−	0.571779i
$395$	8.07842	+	7.70276i	0.406470	+	0.387568i
$396$	−1.29412	+	3.32304i	−0.0650318	+	0.166989i
$397$	9.60657	+	10.0751i	0.482140	+	0.505654i	0.919207	−	0.393775i	$-0.128831\pi$
$397$	9.60657	+	10.0751i	0.482140	+	0.505654i	−0.437067	+	0.899429i	$0.643983\pi$
$398$	−25.0264	+	16.0835i	−1.25446	+	0.806194i
$399$	11.7208	−	6.84703i	0.586773	−	0.342780i
$400$	−8.74484	−	10.0921i	−0.437242	−	0.504604i
$401$	−17.9524	−	34.8227i	−0.896498	−	1.73896i	−0.632721	−	0.774380i	$-0.718062\pi$
$401$	−17.9524	−	34.8227i	−0.896498	−	1.73896i	−0.263777	−	0.964584i	$-0.584968\pi$
$402$	−38.6233	+	11.5389i	−1.92636	+	0.575510i
$403$	37.3124	−	14.9376i	1.85866	−	0.744096i
$404$	−2.53843	+	1.30865i	−0.126291	+	0.0651077i
$405$	−4.36975	−	11.8948i	−0.217135	−	0.591056i
$406$	3.30219	+	34.4398i	0.163885	+	1.70922i
$407$	−17.2694	−	26.8717i	−0.856011	−	1.33198i
$408$	−12.8753	+	10.2239i	−0.637422	+	0.506157i
$409$	−1.35481	+	7.02942i	−0.0669910	+	0.347582i	−0.999922	−	0.0124723i	$-0.996030\pi$
$409$	−1.35481	+	7.02942i	−0.0669910	+	0.347582i	0.932931	+	0.360055i	$0.117242\pi$
$410$	−9.67338	+	10.1451i	−0.477734	+	0.501033i
$411$	0.812153	+	1.39149i	0.0400605	+	0.0686373i
$412$	−2.25118	+	0.323671i	−0.110908	+	0.0159461i
$413$	11.6801	−	10.1289i	0.574742	−	0.498411i
$414$	12.9929	−	17.1835i	0.638565	−	0.844525i
$415$	−2.83814	+	4.91580i	−0.139319	+	0.241307i
$416$	4.10438	−	3.22772i	0.201234	−	0.158252i
$417$	21.3444	−	0.100656i	1.04524	−	0.00492917i
$418$	−21.1743	−	5.13682i	−1.03567	−	0.251250i
$419$	18.4021	−	21.2371i	0.899000	−	1.03750i	−0.100095	−	0.994978i	$-0.531915\pi$
$419$	18.4021	−	21.2371i	0.899000	−	1.03750i	0.999095	−	0.0425237i	$-0.0135398\pi$
$420$	0.518175	+	1.47279i	0.0252844	+	0.0718649i
$421$	15.6597	−	10.0639i	0.763207	−	0.490483i	−0.100215	−	0.994966i	$-0.531953\pi$
$421$	15.6597	−	10.0639i	0.763207	−	0.490483i	0.863422	+	0.504482i	$0.168317\pi$
$422$	0.838680	−	8.78305i	0.0408263	−	0.427552i
$423$	−9.54627	+	16.9008i	−0.464156	+	0.821743i
$424$	0.191525	−	4.02060i	0.00930127	−	0.195258i
$425$	8.55313	+	6.72626i	0.414888	+	0.326272i
$426$	−17.2754	−	4.10480i	−0.836994	−	0.198878i
$427$	10.3670	−	8.15927i	0.501695	−	0.394855i
$428$	−2.29234	+	1.98633i	−0.110805	+	0.0960127i
$429$	6.02413	−	32.0692i	0.290848	−	1.54832i
$430$	−1.59294	+	3.08988i	−0.0768185	+	0.149007i
$431$	−18.2781	+	4.43422i	−0.880425	+	0.213589i	−0.650396	−	0.759595i	$-0.725397\pi$
$431$	−18.2781	+	4.43422i	−0.880425	+	0.213589i	−0.230029	+	0.973184i	$0.573882\pi$
$432$	22.9512	−	1.41898i	1.10424	−	0.0682706i
$433$	−2.39265	−	8.14861i	−0.114983	−	0.391597i	0.881811	−	0.471603i	$-0.156324\pi$
$433$	−2.39265	−	8.14861i	−0.114983	−	0.391597i	−0.996794	+	0.0800057i	$0.974506\pi$
$434$	−40.3524	−	9.77269i	−1.93698	−	0.469104i
$435$	1.11374	+	21.2693i	0.0533995	+	1.01979i
$436$	0.532692	−	0.922650i	0.0255113	−	0.0441869i
$437$	12.3700	+	6.98502i	0.591736	+	0.334139i
$438$	−13.4962	+	6.24061i	−0.644875	+	0.298188i
$439$	−9.59838	+	23.9756i	−0.458105	+	1.14429i	0.502053	+	0.864837i	$0.332578\pi$
$439$	−9.59838	+	23.9756i	−0.458105	+	1.14429i	−0.960159	+	0.279455i	$0.909846\pi$
$440$	−7.56369	+	16.5622i	−0.360585	+	0.789571i
$441$	0.784936	−	20.9853i	0.0373779	−	0.999301i
$442$	−13.5593	+	15.6483i	−0.644951	+	0.744313i
$443$	1.12266	+	1.17741i	0.0533392	+	0.0559405i	0.749863	−	0.661593i	$-0.230119\pi$
$443$	1.12266	+	1.17741i	0.0533392	+	0.0559405i	−0.696524	+	0.717534i	$0.745271\pi$
$444$	1.46250	−	2.29947i	0.0694072	−	0.109128i
$445$	9.50335	−	13.3456i	0.450502	−	0.632641i
$446$	20.2269	−	3.89841i	0.957771	−	0.184595i
$447$	21.6925	+	16.8943i	1.02602	+	0.799071i
$448$	18.0023	−	0.864607i	0.850528	−	0.0408488i
$449$	−11.1410	−	1.60184i	−0.525778	−	0.0755954i	−0.125685	−	0.992070i	$-0.540113\pi$
$449$	−11.1410	−	1.60184i	−0.525778	−	0.0755954i	−0.400093	+	0.916475i	$0.631022\pi$
$450$	−3.94127	−	12.9690i	−0.185793	−	0.611363i
$451$	−30.8674	−	10.6833i	−1.45349	−	0.503057i
$452$	−1.68294	−	1.19842i	−0.0791590	−	0.0563689i
$453$	1.02527	+	0.0439949i	0.0481716	+	0.00206706i
$454$	−2.08020	+	7.08450i	−0.0976285	+	0.332492i
$455$	−7.14772	−	12.3691i	−0.335090	−	0.579870i
$456$	2.61841	+	13.2491i	0.122618	+	0.620445i
$457$	−0.312960	−	0.439491i	−0.0146397	−	0.0205585i	0.807191	−	0.590290i	$-0.200987\pi$
$457$	−0.312960	−	0.439491i	−0.0146397	−	0.0205585i	−0.821831	+	0.569731i	$0.807047\pi$
$458$	2.55537	−	2.00956i	0.119404	−	0.0939007i
$459$	−18.1447	+	4.67462i	−0.846922	+	0.218193i
$460$	−1.05815	+	1.24502i	−0.0493367	+	0.0580496i
$461$	22.3497			1.04093			0.520464	−	0.853883i	$-0.325759\pi$
$461$	22.3497			1.04093			0.520464	+	0.853883i	$0.325759\pi$
$462$	−24.2765	+	23.3854i	−1.12944	+	1.08799i
$463$	2.68956	−	5.88930i	0.124994	−	0.273699i	−0.836782	−	0.547537i	$-0.815566\pi$
$463$	2.68956	−	5.88930i	0.124994	−	0.273699i	0.961776	+	0.273837i	$0.0882930\pi$
$464$	−37.5593	−	9.11180i	−1.74365	−	0.423005i
$465$	−24.5575	−	7.08512i	−1.13883	−	0.328565i
$466$	−6.12569	−	25.2505i	−0.283767	−	1.16970i
$467$	−1.42658	−	29.9477i	−0.0660144	−	1.38581i	−0.752463	−	0.658635i	$-0.771134\pi$
$467$	−1.42658	−	29.9477i	−0.0660144	−	1.38581i	0.686448	−	0.727179i	$-0.259169\pi$
$468$	2.69904	−	0.681798i	0.124763	−	0.0315161i
$469$	−40.7070	−	5.83654i	−1.87967	−	0.269506i
$470$	7.37468	−	11.4752i	0.340169	−	0.529313i
$471$	−7.30565	−	6.90044i	−0.336626	−	0.317955i
$472$	5.71686	+	14.2800i	0.263140	+	0.657292i
$473$	−8.09125	−	0.385434i	−0.372036	−	0.0177223i
$474$	−20.4573	+	2.05083i	−0.939635	+	0.0941978i
$475$	8.13056	−	3.71310i	0.373056	−	0.170369i
$476$	2.24327	−	0.545140i	0.102820	−	0.0249865i
$477$	2.06351	−	4.09707i	0.0944815	−	0.187592i
$478$	−8.10038	−	23.4045i	−0.370503	−	1.07050i
$479$	11.2295	+	10.7073i	0.513089	+	0.489229i	0.901814	−	0.432125i	$-0.142236\pi$
$479$	11.2295	+	10.7073i	0.513089	+	0.489229i	−0.388725	+	0.921354i	$0.627084\pi$
$480$	−3.32051	+	0.0156589i	−0.151560	+	0.000714728i
$481$	−9.26744	+	23.1490i	−0.422559	+	1.05550i
$482$	11.0302			0.502413
$483$	19.3844	−	10.3559i	0.882020	−	0.471212i
$484$	3.17789			0.144450
$485$	−3.02133	+	7.54692i	−0.137192	+	0.342688i
$486$	21.8675	+	8.16166i	0.991930	+	0.370220i
$487$	1.43147	+	1.36491i	0.0648663	+	0.0618499i	0.721819	−	0.692082i	$-0.243306\pi$
$487$	1.43147	+	1.36491i	0.0648663	+	0.0618499i	−0.656953	+	0.753932i	$0.728155\pi$
$488$	4.29304	+	12.4039i	0.194337	+	0.561499i
$489$	−14.9378	+	37.8290i	−0.675513	+	1.71069i
$490$	−1.39132	+	14.6919i	−0.0628534	+	0.663713i
$491$	20.3426	−	9.29015i	0.918048	−	0.419259i	0.100381	−	0.994949i	$-0.467994\pi$
$491$	20.3426	−	9.29015i	0.918048	−	0.419259i	0.817668	+	0.575690i	$0.195267\pi$
$492$	−0.277972	−	2.77280i	−0.0125319	−	0.125008i
$493$	31.4568	+	1.49847i	1.41674	+	0.0674877i
$494$	6.32148	+	15.7903i	0.284417	+	0.710439i
$495$	−15.5535	+	13.7361i	−0.699076	+	0.617392i
$496$	25.0751	−	39.0177i	1.12591	−	1.75194i
$497$	−14.2433	−	11.1921i	−0.638901	−	0.502033i
$498$	−3.46614	−	9.86402i	−0.155322	−	0.442017i
$499$	0.588725	+	12.3589i	0.0263549	+	0.553258i	0.972976	+	0.230908i	$0.0741697\pi$
$499$	0.588725	+	12.3589i	0.0263549	+	0.553258i	−0.946621	+	0.322350i	$0.895527\pi$
$500$	0.643994	+	2.65458i	0.0288003	+	0.118716i
$501$	−7.10604	+	24.6300i	−0.317474	+	1.10039i
$502$	−20.7287	−	5.02872i	−0.925165	−	0.224443i
$503$	−2.62154	+	5.74037i	−0.116889	+	0.255951i	−0.959029	−	0.283308i	$-0.908568\pi$
$503$	−2.62154	+	5.74037i	−0.116889	+	0.255951i	0.842140	+	0.539258i	$0.181295\pi$
$504$	19.4722	+	7.57443i	0.867360	+	0.337392i
$505$	−16.6179			−0.739489
$506$	−33.9411	−	9.61457i	−1.50887	−	0.427420i
$507$	−2.68242	+	1.24034i	−0.119131	+	0.0550855i
$508$	−2.43278	+	1.91316i	−0.107937	+	0.0848828i
$509$	10.2010	+	14.3253i	0.452152	+	0.634958i	0.976237	−	0.216708i	$-0.0695319\pi$
$509$	10.2010	+	14.3253i	0.452152	+	0.634958i	−0.524085	+	0.851666i	$0.675592\pi$
$510$	12.9176	−	2.55291i	0.572002	−	0.113045i
$511$	−15.1691	+	0.00592899i	−0.671044	+	0.000262283i
$512$	−4.86627	+	16.5730i	−0.215061	+	0.732430i
$513$	−3.41676	+	15.0076i	−0.150853	+	0.662604i
$514$	−8.64503	−	6.15610i	−0.381316	−	0.271534i
$515$	−12.5061	−	4.32839i	−0.551082	−	0.190731i
$516$	−0.259873	−	0.640362i	−0.0114403	−	0.0281904i
$517$	31.4615	+	4.52348i	1.38367	+	0.198942i
$518$	21.6642	−	13.9347i	0.951870	−	0.612256i
$519$	−18.2638	+	23.4511i	−0.801692	+	1.02939i
$520$	13.9565	−	2.68989i	0.612031	−	0.117959i
$521$	−7.71099	+	10.8286i	−0.337824	+	0.474408i	−0.948186	−	0.317715i	$-0.897085\pi$
$521$	−7.71099	+	10.8286i	−0.337824	+	0.474408i	0.610362	+	0.792123i	$0.291024\pi$
$522$	−31.0643	−	23.9586i	−1.35965	−	1.04864i
$523$	−15.5317	−	16.2892i	−0.679153	−	0.712275i	0.290469	−	0.956884i	$-0.406189\pi$
$523$	−15.5317	−	16.2892i	−0.679153	−	0.712275i	−0.969622	+	0.244609i	$0.921340\pi$
$524$	−1.88117	+	2.17098i	−0.0821791	+	0.0948398i
$525$	1.89801	−	13.6972i	0.0828361	−	0.597793i
$526$	−0.695002	+	1.52184i	−0.0303035	+	0.0663554i
$527$	−14.0460	+	35.0853i	−0.611854	+	1.52834i
$528$	−15.8037	−	34.1778i	−0.687768	−	1.48740i
$529$	19.5830	+	12.0626i	0.851435	+	0.524461i
$530$	−1.61188	+	2.79185i	−0.0700155	+	0.121270i
$531$	−0.668940	+	17.5175i	−0.0290295	+	0.760197i
$532$	0.446365	−	1.84309i	0.0193524	−	0.0799080i
$533$	7.18370	+	24.4654i	0.311161	+	1.05972i
$534$	7.25275	+	29.2926i	0.313857	+	1.26762i
$535$	−17.1521	+	4.16106i	−0.741551	+	0.179898i
$536$	18.7482	−	36.3664i	0.809798	−	1.57079i
$537$	−28.5895	−	5.37047i	−1.23373	−	0.231753i
$538$	−22.7901	+	19.7478i	−0.982553	+	0.851387i
$539$	−32.4878	+	11.2726i	−1.39935	+	0.485544i
$540$	−1.62060	−	0.712568i	−0.0697393	−	0.0306641i
$541$	2.18183	+	1.71581i	0.0938041	+	0.0737684i	0.663960	−	0.747768i	$-0.268875\pi$
$541$	2.18183	+	1.71581i	0.0938041	+	0.0737684i	−0.570156	+	0.821537i	$0.693117\pi$
$542$	0.0491335	−	1.03144i	0.00211047	−	0.0443041i
$543$	−5.57544	+	12.3625i	−0.239265	+	0.530524i
$544$	−0.466710	+	4.88761i	−0.0200100	+	0.209554i
$545$	5.21516	−	3.35158i	0.223393	−	0.143566i
$546$	25.8629	+	4.84782i	1.10683	+	0.207468i
$547$	−15.5765	+	17.9763i	−0.666004	+	0.768610i	−0.983746	−	0.179567i	$-0.942530\pi$
$547$	−15.5765	+	17.9763i	−0.666004	+	0.768610i	0.317741	+	0.948177i	$0.397076\pi$
$548$	0.218741	+	0.0530660i	0.00934416	+	0.00226687i
$549$	−1.28145	+	14.9042i	−0.0546909	+	0.636095i
$550$	−17.4472	+	13.7206i	−0.743950	+	0.585049i
$551$	12.9347	−	22.4036i	0.551039	−	0.954427i
$552$	3.42044	+	21.5966i	0.145584	+	0.919212i
$553$	−19.8237	−	6.85236i	−0.842987	−	0.291392i
$554$	−4.21758	+	0.606397i	−0.179188	+	0.0257633i
$555$	13.6951	−	7.99324i	0.581327	−	0.339294i
$556$	2.05777	−	2.15813i	0.0872690	−	0.0915250i
$557$	−0.947280	+	4.91495i	−0.0401375	+	0.208253i	−0.996461	−	0.0840575i	$-0.973212\pi$
$557$	−0.947280	+	4.91495i	−0.0401375	+	0.208253i	0.956323	+	0.292311i	$0.0944242\pi$
$558$	39.3628	−	25.8247i	1.66636	−	1.09325i
$559$	3.41870	+	5.31960i	0.144595	+	0.224995i
$560$	−14.9985	−	6.84251i	−0.633803	−	0.289149i
$561$	17.9152	+	24.9090i	0.756382	+	1.05166i
$562$	−9.00870	+	4.64431i	−0.380009	+	0.195908i
$563$	9.00074	−	3.60335i	0.379336	−	0.151863i	−0.174155	−	0.984718i	$-0.555720\pi$
$563$	9.00074	−	3.60335i	0.379336	−	0.151863i	0.553491	+	0.832855i	$0.313295\pi$
$564$	0.776242	+	2.59825i	0.0326857	+	0.109406i
$565$	−5.50874	−	10.6855i	−0.231755	−	0.449541i
$566$	9.88691	+	11.4101i	0.415578	+	0.479602i
$567$	16.7607	+	16.9138i	0.703885	+	0.710314i
$568$	15.1616	−	9.74377i	0.636167	−	0.408839i
$569$	−23.3530	−	24.4919i	−0.979007	−	1.02675i	−0.999636	−	0.0269657i	$-0.991416\pi$
$569$	−23.3530	−	24.4919i	−0.979007	−	1.02675i	0.0206294	−	0.999787i	$-0.493433\pi$
$570$	2.99836	−	10.3925i	0.125588	−	0.435296i
$571$	11.9629	+	11.4066i	0.500630	+	0.477350i	0.897805	−	0.440393i	$-0.145161\pi$
$571$	11.9629	+	11.4066i	0.500630	+	0.477350i	−0.397175	+	0.917743i	$0.630009\pi$
$572$	−2.64422	−	3.71329i	−0.110561	−	0.155261i
$573$	−1.51324	−	28.8987i	−0.0632164	−	1.20726i
$574$	8.60542	−	24.8952i	0.359183	−	1.03911i
$575$	13.3829	−	5.50670i	0.558105	−	0.229645i
$576$	−13.2366	+	15.5702i	−0.551525	+	0.648757i
$577$	−11.3088	−	14.3804i	−0.470794	−	0.598663i	0.491432	−	0.870916i	$-0.336474\pi$
$577$	−11.3088	−	14.3804i	−0.470794	−	0.598663i	−0.962226	+	0.272253i	$0.912231\pi$
$578$	0.568885	+	5.95763i	0.0236625	+	0.247805i
$579$	−25.2479	−	8.60528i	−1.04927	−	0.357623i
$580$	2.24872	+	1.94853i	0.0933729	+	0.0809081i
$581$	1.00973	−	10.6183i	0.0418909	−	0.440521i
$582$	−6.92392	−	13.2764i	−0.287006	−	0.550326i
$583$	−7.47789	−	0.714052i	−0.309703	−	0.0295730i
$584$	4.93618	−	14.2621i	0.204260	−	0.590172i
$585$	15.7773	+	3.67031i	0.652309	+	0.151749i
$586$	20.1460	−	25.6177i	0.832224	−	1.05826i
$587$	−3.16661	+	22.0242i	−0.130700	+	0.909037i	0.813945	+	0.580942i	$0.197316\pi$
$587$	−3.16661	+	22.0242i	−0.130700	+	0.909037i	−0.944645	+	0.328095i	$0.893593\pi$
$588$	−2.03619	−	2.11212i	−0.0839709	−	0.0871023i
$589$	20.3299	+	23.4619i	0.837679	+	0.966733i
$590$	1.17103	−	12.2636i	0.0482105	−	0.504883i
$591$	13.5996	+	8.64959i	0.559413	+	0.355797i
$592$	6.78392	+	27.9637i	0.278817	+	1.14930i
$593$	−0.617777	−	1.78495i	−0.0253691	−	0.0732991i	0.931605	−	0.363471i	$-0.118409\pi$
$593$	−0.617777	−	1.78495i	−0.0253691	−	0.0732991i	−0.956974	+	0.290172i	$0.906287\pi$
$594$	−0.540711	−	38.2174i	−0.0221856	−	1.56808i
$595$	13.0557	+	3.16186i	0.535230	+	0.129624i
$596$	3.80208	−	0.546657i	0.155739	−	0.0223919i
$597$	19.8288	−	28.1255i	0.811541	−	1.15110i
$598$	9.25508	+	25.9360i	0.378468	+	1.06060i
$599$	−4.19110	+	2.41973i	−0.171244	+	0.0988675i	−0.583172	−	0.812349i	$-0.698189\pi$
$599$	−4.19110	+	2.41973i	−0.171244	+	0.0988675i	0.411929	+	0.911216i	$0.364855\pi$
$600$	12.2581	+	6.24650i	0.500435	+	0.255012i
$601$	6.68869	+	3.05462i	0.272837	+	0.124601i	0.547135	−	0.837044i	$-0.315718\pi$
$601$	6.68869	+	3.05462i	0.272837	+	0.124601i	−0.274298	+	0.961645i	$0.588446\pi$
$602$	0.308268	−	6.52501i	0.0125641	−	0.265939i
$603$	36.3797	−	29.1688i	1.48150	−	1.18784i
$604$	0.103759	−	0.0989344i	0.00422191	−	0.00402558i
$605$	16.4359	+	8.47332i	0.668216	+	0.344489i
$606$	19.9353	−	23.2270i	0.809818	−	0.943533i
$607$	−5.40070	−	28.0215i	−0.219208	−	1.13736i	−0.910097	−	0.414396i	$-0.863993\pi$
$607$	−5.40070	−	28.0215i	−0.219208	−	1.13736i	0.690889	−	0.722961i	$-0.257219\pi$
$608$	3.39294	+	2.18051i	0.137602	+	0.0884312i
$609$	−18.5203	−	35.4784i	−0.750482	−	1.43766i
$610$	1.49608	−	10.4055i	0.0605746	−	0.421306i
$611$	−11.3696	−	22.0540i	−0.459966	−	0.892210i
$612$	−1.28739	+	2.27920i	−0.0520397	+	0.0921314i
$613$	−19.7007	+	27.6657i	−0.795702	+	1.11741i	0.194925	+	0.980818i	$0.437554\pi$
$613$	−19.7007	+	27.6657i	−0.795702	+	1.11741i	−0.990628	+	0.136589i	$0.956386\pi$
$614$	1.21460	+	25.4976i	0.0490173	+	1.02900i
$615$	5.95556	−	15.0820i	0.240151	−	0.608165i
$616$	−0.0133726	−	34.2134i	−0.000538798	−	1.37850i
$617$	1.46135	+	4.97689i	0.0588316	+	0.200362i	0.983664	−	0.180012i	$-0.0576136\pi$
$617$	1.46135	+	4.97689i	0.0588316	+	0.200362i	−0.924833	+	0.380374i	$0.875795\pi$
$618$	21.0524	−	12.2873i	0.846852	−	0.494270i
$619$	3.22431	+	4.10005i	0.129596	+	0.164795i	0.846521	−	0.532356i	$-0.178693\pi$
$619$	3.22431	+	4.10005i	0.129596	+	0.164795i	−0.716925	+	0.697151i	$0.754451\pi$
$620$	−3.09233	+	1.78536i	−0.124191	+	0.0717017i
$621$	−6.45200	+	24.0701i	−0.258910	+	0.965902i
$622$			29.0242i			1.16376i
$623$	−5.81444	+	30.2318i	−0.232951	+	1.21121i
$624$	−14.5770	+	25.5253i	−0.583546	+	1.02183i
$625$	−0.190238	+	0.784173i	−0.00760953	+	0.0313669i
$626$	−0.973791	−	0.187683i	−0.0389205	−	0.00750132i
$627$	24.9304	−	3.70453i	0.995624	−	0.147945i
$628$	−1.40234	+	0.0668016i	−0.0559594	+	0.00266567i
$629$	−9.74014	−	21.3279i	−0.388365	−	0.850400i
$630$	−11.0819	−	12.5382i	−0.441512	−	0.499533i
$631$	3.09023	+	1.98597i	0.123020	+	0.0790603i	0.600704	−	0.799472i	$-0.294887\pi$
$631$	3.09023	+	1.98597i	0.123020	+	0.0790603i	−0.477684	+	0.878532i	$0.658523\pi$
$632$	12.8998	−	16.4035i	0.513128	−	0.652496i
$633$	2.92155	+	9.77905i	0.116121	+	0.388683i
$634$	−1.14230	+	23.9798i	−0.0453665	+	0.952361i
$635$	−17.6834	+	3.40820i	−0.701744	+	0.135250i
$636$	−0.212463	−	0.604632i	−0.00842472	−	0.0239752i
$637$	21.8787	+	15.5540i	0.866867	+	0.616272i
$638$	−18.0985	+	61.6379i	−0.716528	+	2.44027i
$639$	20.3024	−	3.11475i	0.803150	−	0.123218i
$640$	12.5564	−	13.1688i	0.496337	−	0.520544i
$641$	3.10609	+	32.5284i	0.122683	+	1.28480i	0.821795	+	0.569783i	$0.192973\pi$
$641$	3.10609	+	32.5284i	0.122683	+	1.28480i	−0.699112	+	0.715012i	$0.746421\pi$
$642$	14.7602	−	28.9654i	0.582539	−	1.14317i
$643$		−	36.7158i		−	1.44793i	−0.689837	−	0.723965i	$-0.742318\pi$
$643$		−	36.7158i		−	1.44793i	0.689837	−	0.723965i	$-0.257682\pi$
$644$	0.835654	−	2.95440i	0.0329294	−	0.116420i
$645$	0.363366	−	4.00484i	0.0143075	−	0.157690i
$646$	−14.8478	−	5.94416i	−0.584179	−	0.233870i
$647$	−35.1419	+	3.35565i	−1.38157	+	0.131924i	−0.759230	−	0.650822i	$-0.774424\pi$
$647$	−35.1419	+	3.35565i	−1.38157	+	0.131924i	−0.622341	+	0.782746i	$0.713818\pi$
$648$	−21.3606	+	10.2463i	−0.839124	+	0.402513i
$649$	27.1274	−	9.38888i	1.06484	−	0.368546i
$650$	16.6249	+	4.88151i	0.652082	+	0.191469i
$651$	47.5033	−	7.07773i	1.86180	−	0.277398i
$652$	2.36038	+	5.16851i	0.0924395	+	0.202414i
$653$	6.68141	+	34.6665i	0.261464	+	1.35660i	0.840725	+	0.541462i	$0.182129\pi$
$653$	6.68141	+	34.6665i	0.261464	+	1.35660i	−0.579262	+	0.815142i	$0.696659\pi$
$654$	−1.57172	+	11.3099i	−0.0614591	+	0.442253i
$655$	−15.5179	+	6.21243i	−0.606334	+	0.242740i
$656$	23.1294	+	18.1892i	0.903051	+	0.710168i
$657$	11.7516	−	12.5598i	0.458472	−	0.490003i
$658$	−3.63787	+	25.3724i	−0.141819	+	0.989118i
$659$	−32.1053	+	14.6620i	−1.25064	+	0.571150i	−0.927012	−	0.375033i	$-0.877631\pi$
$659$	−32.1053	+	14.6620i	−1.25064	+	0.571150i	−0.323633	+	0.946183i	$0.604904\pi$
$660$	−0.124281	+	2.89629i	−0.00483763	+	0.112738i
$661$	−19.8402	+	4.81318i	−0.771695	+	0.187211i	−0.602227	−	0.798325i	$-0.705720\pi$
$661$	−19.8402	+	4.81318i	−0.771695	+	0.187211i	−0.169468	+	0.985536i	$0.554205\pi$
$662$	0.294223	−	1.52657i	0.0114353	−	0.0593320i
$663$	7.72697	−	22.6710i	0.300091	−	0.880467i
$664$	9.65309	+	4.40842i	0.374612	+	0.171080i
$665$	7.22287	−	8.34222i	0.280091	−	0.323498i
$666$	−5.25685	+	28.7307i	−0.203699	+	1.11329i
$667$	22.3063	−	35.4499i	0.863705	−	1.37262i
$668$	1.79063	+	3.10146i	0.0692816	+	0.119999i
$669$	−19.9847	+	12.9770i	−0.772654	+	0.501719i
$670$	−26.6925	+	19.0076i	−1.03122	+	0.734329i
$671$	23.5036	−	6.90129i	0.907348	−	0.266421i
$672$	5.66240	−	2.62096i	0.218432	−	0.101106i
$673$	−34.0948	−	10.0111i	−1.31426	−	0.385901i	−0.451841	−	0.892099i	$-0.649232\pi$
$673$	−34.0948	−	10.0111i	−1.31426	−	0.385901i	−0.862417	+	0.506198i	$0.831051\pi$
$674$	21.2877	−	1.01406i	0.819970	−	0.0390600i
$675$	9.86583	+	12.1866i	0.379736	+	0.469062i
$676$	−0.135036	+	0.390161i	−0.00519369	+	0.0150062i
$677$	−1.97755	+	1.01950i	−0.0760033	+	0.0391824i	−0.495809	−	0.868431i	$-0.665128\pi$
$677$	−1.97755	+	1.01950i	−0.0760033	+	0.0391824i	0.419806	+	0.907614i	$0.362098\pi$
$678$	21.5436	+	5.11897i	0.827377	+	0.196593i
$679$	−0.732800	−	15.2579i	−0.0281223	−	0.585544i
$680$	−7.22563	+	11.2433i	−0.277090	+	0.431161i
$681$	−0.851967	−	8.49848i	−0.0326475	−	0.325662i
$682$	−62.7966	−	44.7173i	−2.40461	−	1.71231i
$683$	−15.2766	+	29.6325i	−0.584544	+	1.13386i	0.392287	+	0.919843i	$0.371684\pi$
$683$	−15.2766	+	29.6325i	−0.584544	+	1.13386i	−0.976831	+	0.214014i	$0.931346\pi$
$684$	1.17954	+	1.79789i	0.0451008	+	0.0687439i
$685$	0.989830	+	0.857693i	0.0378195	+	0.0327708i
$686$	−9.10058	−	26.1950i	−0.347462	−	1.00013i
$687$	−1.86488	+	3.26553i	−0.0711495	+	0.124588i
$688$	6.77444	+	2.71208i	0.258273	+	0.103397i
$689$	2.93200	+	5.07837i	0.111700	+	0.193471i
$690$	5.49091	−	16.6292i	0.209036	−	0.633064i
$691$	30.5971	+	17.6653i	1.16397	+	0.672018i	0.952252	−	0.305313i	$-0.0987609\pi$
$691$	30.5971	+	17.6653i	1.16397	+	0.672018i	0.211718	+	0.977331i	$0.432094\pi$
$692$	0.590972	+	4.11030i	0.0224654	+	0.156250i
$693$	15.8488	−	35.6259i	0.602045	−	1.35332i
$694$	2.26200	−	0.664182i	0.0858642	−	0.0252120i
$695$	16.3970	−	5.67506i	0.621974	−	0.215267i
$696$	39.3860	−	5.85256i	1.49292	−	0.221841i
$697$	−21.3110	−	10.9866i	−0.807212	−	0.416147i
$698$	34.9322	+	3.33562i	1.32220	+	0.126255i
$699$	17.5495	+	24.4005i	0.663783	+	0.922911i
$700$	−1.19477	−	1.51806i	−0.0451582	−	0.0573771i
$701$	33.6264	+	4.83475i	1.27005	+	0.182606i	0.744192	−	0.667965i	$-0.232835\pi$
$701$	33.6264	+	4.83475i	1.27005	+	0.182606i	0.525860	+	0.850571i	$0.323744\pi$
$702$	−24.0568	+	17.6490i	−0.907967	+	0.666118i
$703$	−19.2385	−	0.916445i	−0.725595	−	0.0345644i
$704$	31.6241	+	10.9452i	1.19188	+	0.412513i
$705$	−2.91310	+	15.5078i	−0.109714	+	0.584057i
$706$	6.68552	+	10.4029i	0.251613	+	0.391517i
$707$	28.3995	−	12.9830i	1.06807	−	0.488277i
$708$	1.69838	+	1.76448i	0.0638291	+	0.0663131i
$709$	3.75969	−	15.4976i	0.141198	−	0.582026i	−0.856617	−	0.515953i	$-0.827438\pi$
$709$	3.75969	−	15.4976i	0.141198	−	0.582026i	0.997815	−	0.0660730i	$-0.0210470\pi$
$710$	−14.3690	+	1.37207i	−0.539258	+	0.0514929i
$711$	21.0354	−	11.0968i	0.788888	−	0.416164i
$712$	−26.5261	−	15.3148i	−0.994107	−	0.573948i
$713$	31.4466	+	39.2104i	1.17768	+	1.46844i
$714$	−20.0813	+	14.4549i	−0.751523	+	0.540962i
$715$	−3.77496	−	26.2554i	−0.141175	−	0.981897i
$716$	−3.31037	+	2.35731i	−0.123714	+	0.0880967i
$717$	18.8631	+	21.5629i	0.704457	+	0.805282i
$718$	−40.5844	−	7.82201i	−1.51460	−	0.291915i
$719$	−23.9771	+	22.8622i	−0.894196	+	0.852614i	−0.989750	−	0.142810i	$-0.954386\pi$
$719$	−23.9771	+	22.8622i	−0.894196	+	0.852614i	0.0955539	+	0.995424i	$0.469538\pi$
$720$	17.2876	−	7.11082i	0.644272	−	0.265005i
$721$	24.7540	−	2.37349i	0.921888	−	0.0883933i
$722$	11.5715	−	10.0268i	0.430647	−	0.373158i
$723$	−11.8229	+	4.79799i	−0.439698	+	0.178439i
$724$	0.704153	+	1.75889i	0.0261696	+	0.0653686i
$725$	−9.79452	−	24.4655i	−0.363759	−	0.908627i
$726$	−31.5602	+	12.8078i	−1.17131	+	0.475343i
$727$	−14.2828	+	12.3761i	−0.529720	+	0.459005i	−0.878188	−	0.478316i	$-0.841247\pi$
$727$	−14.2828	+	12.3761i	−0.529720	+	0.459005i	0.348468	+	0.937321i	$0.386702\pi$
$728$	−21.7496	+	15.5006i	−0.806093	+	0.574492i
$729$	−26.9892	+	0.763855i	−0.999600	+	0.0282909i
$730$	−8.74803	+	8.34123i	−0.323779	+	0.308723i
$731$	−5.83853	−	1.12528i	−0.215946	−	0.0416201i
$732$	1.37600	+	1.57294i	0.0508583	+	0.0581374i
$733$	19.8944	−	14.1667i	0.734817	−	0.523261i	−0.150294	−	0.988641i	$-0.548022\pi$
$733$	19.8944	−	14.1667i	0.734817	−	0.523261i	0.885111	+	0.465381i	$0.154083\pi$
$734$	0.521421	+	3.62656i	0.0192460	+	0.133859i
$735$	−4.89947	−	16.3530i	−0.180720	−	0.603188i
$736$	5.35509	+	3.73672i	0.197391	+	0.137737i
$737$	−66.1266	−	38.1782i	−2.43580	−	1.40631i
$738$	13.9358	+	26.4169i	0.512983	+	0.972420i
$739$	−16.2514	+	1.55182i	−0.597817	+	0.0570846i	−0.389578	−	0.920993i	$-0.627379\pi$
$739$	−16.2514	+	1.55182i	−0.597817	+	0.0570846i	−0.208239	+	0.978078i	$0.566773\pi$
$740$	0.522278	−	2.15286i	0.0191993	−	0.0791407i
$741$	−13.6443	−	14.1753i	−0.501237	−	0.520743i
$742$	0.573463	−	6.03049i	0.0210525	−	0.221386i
$743$	−8.63960	−	13.4435i	−0.316956	−	0.493194i	0.645821	−	0.763489i	$-0.276515\pi$
$743$	−8.63960	−	13.4435i	−0.316956	−	0.493194i	−0.962778	+	0.270295i	$0.912879\pi$
$744$	−8.82183	+	46.9627i	−0.323424	+	1.72174i
$745$	21.1218	+	7.31033i	0.773843	+	0.267830i
$746$	−16.5944	−	0.790490i	−0.607565	−	0.0289419i
$747$	8.00595	+	9.06517i	0.292922	+	0.331677i
$748$	4.24284	+	0.610028i	0.155133	+	0.0223048i
$749$	26.0615	−	20.5115i	0.952266	−	0.749473i
$750$	−17.0943	−	23.7676i	−0.624197	−	0.867871i
$751$	−33.6907	−	3.21707i	−1.22939	−	0.117393i	−0.539927	−	0.841712i	$-0.681548\pi$
$751$	−33.6907	−	3.21707i	−1.22939	−	0.117393i	−0.689465	+	0.724319i	$0.742154\pi$
$752$	−25.4501	−	13.1204i	−0.928068	−	0.478453i
$753$	24.4057	−	3.62657i	0.889394	−	0.132159i
$754$	47.3895	−	16.4017i	1.72582	−	0.597313i
$755$	0.800432	−	0.235028i	0.0291307	−	0.00855355i
$756$	3.32625	−	0.0483611i	0.120974	−	0.00175888i
$757$	−5.57144	−	38.7502i	−0.202497	−	1.40840i	−0.796841	−	0.604189i	$-0.793497\pi$
$757$	−5.57144	−	38.7502i	−0.202497	−	1.40840i	0.594344	−	0.804211i	$-0.297412\pi$
$758$	1.05545	+	0.609367i	0.0383358	+	0.0221332i
$759$	40.5624	−	4.45837i	1.47232	−	0.161828i
$760$	5.48932	+	9.50778i	0.199119	+	0.344883i
$761$	5.94152	+	2.37863i	0.215380	+	0.0862252i	0.476843	−	0.878988i	$-0.341781\pi$
$761$	5.94152	+	2.37863i	0.215380	+	0.0862252i	−0.261463	+	0.965213i	$0.584205\pi$
$762$	16.4498	−	28.8048i	0.595914	−	1.04349i
$763$	−6.29405	+	9.80216i	−0.227860	+	0.354862i
$764$	−3.05534	−	2.64747i	−0.110538	−	0.0957821i
$765$	−12.7355	+	8.35535i	−0.460452	+	0.302088i
$766$	−8.11710	+	15.7450i	−0.293283	+	0.568889i
$767$	−18.2537	−	12.9984i	−0.659103	−	0.469345i
$768$	0.989254	+	9.86793i	0.0356966	+	0.356078i
$769$	−0.156995	+	0.244289i	−0.00566139	+	0.00880929i	−0.844073	−	0.536229i	$-0.819848\pi$
$769$	−0.156995	+	0.244289i	−0.00566139	+	0.00880929i	0.838411	+	0.545038i	$0.183485\pi$
$770$	−12.5466	+	24.3604i	−0.452148	+	0.877888i
$771$	11.9441	+	2.83804i	0.430157	+	0.102209i
$772$	−3.31223	+	1.70757i	−0.119210	+	0.0614568i
$773$	−5.64123	+	16.2993i	−0.202901	+	0.586244i	−0.999841	−	0.0178143i	$-0.994329\pi$
$773$	−5.64123	+	16.2993i	−0.202901	+	0.586244i	0.796940	+	0.604058i	$0.206450\pi$
$774$	5.16169	+	5.31219i	0.185533	+	0.190943i
$775$	31.5894	−	1.50479i	1.13472	−	0.0540535i
$776$	14.5824	+	4.28177i	0.523477	+	0.153707i
$777$	−17.1597	+	24.3597i	−0.615600	+	0.873900i
$778$	25.4605	−	7.47588i	0.912804	−	0.268023i
$779$	−16.0434	+	11.4244i	−0.574814	+	0.409323i
$780$	1.89797	−	1.23244i	0.0679582	−	0.0441283i
$781$	−16.8172	−	29.1283i	−0.601768	−	1.04229i
$782$	−23.6559	−	10.5312i	−0.845933	−	0.376595i
$783$	43.7184	+	12.1678i	1.56237	+	0.434841i
$784$	30.9778	−	0.0242159i	1.10635	−	0.000864852i
$785$	−7.43096	−	3.39361i	−0.265222	−	0.121123i
$786$	9.93252	−	29.1421i	0.354281	−	1.03946i
$787$	−1.39778	+	7.25238i	−0.0498255	+	0.258519i	−0.998296	−	0.0583446i	$-0.981418\pi$
$787$	−1.39778	+	7.25238i	−0.0498255	+	0.258519i	0.948471	+	0.316864i	$0.102630\pi$
$788$	2.18817	−	0.530845i	0.0779504	−	0.0189106i
$789$	0.0829683	−	1.93352i	0.00295375	−	0.0688353i
$790$	−15.2030	+	6.94297i	−0.540898	+	0.247020i
$791$	17.7624	+	13.9573i	0.631560	+	0.496265i
$792$	28.3281	+	26.5052i	1.00659	+	0.941821i
$793$	−15.0310	−	11.8205i	−0.533768	−	0.419760i
$794$	−19.3511	+	7.74700i	−0.686744	+	0.274931i
$795$	0.513298	−	3.69363i	0.0182048	−	0.131000i
$796$	−0.909840	−	4.72070i	−0.0322484	−	0.167321i
$797$	18.7503	+	41.0573i	0.664168	+	1.45433i	0.878586	+	0.477584i	$0.158487\pi$
$797$	18.7503	+	41.0573i	0.664168	+	1.45433i	−0.214418	+	0.976742i	$0.568785\pi$
$798$	2.99524	+	20.1030i	0.106030	+	0.711639i
$799$	22.3862	+	6.57317i	0.791966	+	0.232542i
$800$	3.88265	−	1.34380i	0.137272	−	0.0475104i
$801$	−20.5158	−	28.2429i	−0.724891	−	0.997913i
$802$	58.3963	−	5.57617i	2.06205	−	0.196902i
$803$	−26.1481	−	10.4681i	−0.922745	−	0.369411i
$804$	0.588637	−	6.48766i	0.0207596	−	0.228802i
$805$	12.1994	−	13.0519i	0.429972	−	0.460020i
$806$			60.1795i			2.11973i
$807$	15.8379	−	31.0803i	0.557522	−	1.09408i
$808$	2.95321	+	30.9274i	0.103893	+	1.08802i
$809$	−10.0760	+	10.5674i	−0.354254	+	0.371531i	−0.876614	−	0.481194i	$-0.840203\pi$
$809$	−10.0760	+	10.5674i	−0.354254	+	0.371531i	0.522360	+	0.852725i	$0.325052\pi$
$810$	18.9663	+	0.545180i	0.666407	+	0.0191557i
$811$	13.1381	−	44.7444i	0.461343	−	1.57119i	−0.320208	−	0.947347i	$-0.603753\pi$
$811$	13.1381	−	44.7444i	0.461343	−	1.57119i	0.781551	−	0.623842i	$-0.214429\pi$
$812$	−5.36530	−	1.57312i	−0.188285	−	0.0552056i
$813$	0.395997	+	1.12694i	0.0138882	+	0.0395234i
$814$	46.9638	−	9.05152i	1.64608	−	0.317256i
$815$	−1.57317	+	33.0249i	−0.0551057	+	1.15681i
$816$	−7.91202	−	26.4832i	−0.276976	−	0.927098i
$817$	−3.01929	+	3.83934i	−0.105632	+	0.134322i
$818$	−9.01741	−	5.79514i	−0.315286	−	0.202622i
$819$	−29.8303	+	6.05379i	−1.04235	+	0.211537i
$820$	−0.941057	−	2.06063i	−0.0328631	−	0.0719602i
$821$	−5.49586	+	0.261800i	−0.191807	+	0.00913688i	−0.143265	−	0.989684i	$-0.545760\pi$
$821$	−5.49586	+	0.261800i	−0.191807	+	0.00913688i	−0.0485412	+	0.998821i	$0.515457\pi$
$822$	−2.38623	+	0.354582i	−0.0832293	+	0.0123675i
$823$	−20.0692	−	3.86802i	−0.699567	−	0.134831i	−0.172947	−	0.984931i	$-0.555329\pi$
$823$	−20.0692	−	3.86802i	−0.699567	−	0.134831i	−0.526620	+	0.850101i	$0.676541\pi$
$824$	−5.83301	+	24.0440i	−0.203203	+	0.837612i
$825$	12.7327	−	22.2959i	0.443297	−	0.776244i
$826$	7.57986	+	21.8729i	0.263737	+	0.761055i
$827$			8.12913i			0.282678i	0.989961	+	0.141339i	$0.0451407\pi$
$827$			8.12913i			0.282678i	−0.989961	+	0.141339i	$0.954859\pi$
$828$	1.79764	+	2.98139i	0.0624723	+	0.103610i
$829$	9.05031	−	5.22520i	0.314330	−	0.181479i	−0.334532	−	0.942384i	$-0.608578\pi$
$829$	9.05031	−	5.22520i	0.314330	−	0.181479i	0.648863	+	0.760906i	$0.275245\pi$
$830$	−5.25387	−	6.68084i	−0.182365	−	0.231895i
$831$	4.25691	−	2.48456i	0.147670	−	0.0861886i
$832$	−7.35981	−	25.0652i	−0.255156	−	0.868980i
$833$	−24.7819	+	4.79642i	−0.858643	+	0.166186i
$834$	−11.7382	+	29.7262i	−0.406462	+	1.02933i
$835$	0.991545	+	20.8151i	0.0343138	+	0.720336i
$836$	2.04245	−	2.86822i	0.0706396	−	0.0991994i
$837$	−30.9582	+	44.8029i	−1.07007	+	1.54861i
$838$	19.2803	+	37.3985i	0.666026	+	1.29191i
$839$	7.90902	−	55.0084i	0.273050	−	1.89910i	−0.142939	−	0.989732i	$-0.545655\pi$
$839$	7.90902	−	55.0084i	0.273050	−	1.89910i	0.415988	−	0.909370i	$-0.363436\pi$
$840$	16.9692	+	0.721511i	0.585494	+	0.0248945i
$841$	−39.7681	−	25.5574i	−1.37131	−	0.881289i
$842$	5.27486	+	27.3685i	0.181784	+	0.943182i
$843$	7.63589	−	8.89672i	0.262994	−	0.306419i
$844$	1.26734	+	0.653357i	0.0436235	+	0.0224895i
$845$	−1.73870	+	1.65785i	−0.0598131	+	0.0570317i
$846$	−18.1807	−	22.6752i	−0.625065	−	0.779590i
$847$	−34.7084	−	1.63977i	−1.19259	−	0.0563431i
$848$	6.15547	+	2.81111i	0.211380	+	0.0965338i
$849$	−15.5607	−	7.92942i	−0.534041	−	0.272137i
$850$	−14.1098	+	8.14627i	−0.483961	+	0.279415i
$851$	−31.0692	−	2.66732i	−1.06504	−	0.0914347i
$852$	1.65344	−	2.34526i	0.0566458	−	0.0803472i
$853$	−41.2465	+	5.93035i	−1.41225	+	0.203051i	−0.805857	−	0.592111i	$-0.798295\pi$
$853$	−41.2465	+	5.93035i	−1.41225	+	0.203051i	−0.606397	+	0.795162i	$0.707386\pi$
$854$	5.57269	+	18.9514i	0.190694	+	0.648505i
$855$	1.30677	+	12.4436i	0.0446905	+	0.425564i
$856$	10.7922	+	31.1820i	0.368870	+	1.06578i
$857$	0.542839	+	2.23761i	0.0185430	+	0.0764355i	0.980331	−	0.197359i	$-0.0632364\pi$
$857$	0.542839	+	2.23761i	0.0185430	+	0.0764355i	−0.961788	+	0.273794i	$0.911721\pi$
$858$	41.2259	+	26.2204i	1.40743	+	0.895150i
$859$	−1.53103	+	16.0337i	−0.0522382	+	0.547063i	0.931036	+	0.364929i	$0.118907\pi$
$859$	−1.53103	+	16.0337i	−0.0522382	+	0.547063i	−0.983274	+	0.182134i	$0.941699\pi$
$860$	−0.367894	−	0.424573i	−0.0125451	−	0.0144778i
$861$	1.60522	+	30.4275i	0.0547056	+	1.03697i
$862$	4.00788	−	27.8754i	0.136509	−	0.949440i
$863$	−2.65676	+	3.37834i	−0.0904371	+	0.115000i	−0.829166	−	0.559003i	$-0.811184\pi$
$863$	−2.65676	+	3.37834i	−0.0904371	+	0.115000i	0.738729	+	0.674003i	$0.235427\pi$
$864$	−2.21919	+	6.71795i	−0.0754984	+	0.228549i
$865$	−7.90295	+	22.8341i	−0.268708	+	0.776382i
$866$	12.6586	+	1.20875i	0.430157	+	0.0410750i
$867$	−3.20125	−	6.13831i	−0.108720	−	0.208468i
$868$	3.88985	−	5.46705i	0.132030	−	0.185564i
$869$	−29.4326	−	25.5035i	−0.998433	−	0.865147i
$870$	−30.1856	−	10.2882i	−1.02339	−	0.348802i
$871$	5.66590	+	59.3360i	0.191982	+	2.01052i
$872$	−7.16436	−	9.11023i	−0.242616	−	0.308511i
$873$	13.1966	+	11.2187i	0.446636	+	0.379696i
$874$	−16.5935	+	13.3079i	−0.561284	+	0.450148i
$875$	−5.66385	−	29.3252i	−0.191473	−	0.991371i
$876$	−0.125654	−	2.39965i	−0.00424545	−	0.0810766i
$877$	−16.2785	−	22.8599i	−0.549685	−	0.771925i	0.442490	−	0.896773i	$-0.354095\pi$
$877$	−16.2785	−	22.8599i	−0.549685	−	0.771925i	−0.992176	+	0.124848i	$0.960156\pi$
$878$	−27.9862	−	26.6848i	−0.944487	−	0.900567i
$879$	−10.4504	+	36.2219i	−0.352484	+	1.22174i
$880$	−21.1233	−	22.1535i	−0.712067	−	0.746794i
$881$	−39.3127	+	25.2647i	−1.32448	+	0.851190i	−0.995647	−	0.0931997i	$-0.970291\pi$
$881$	−39.3127	+	25.2647i	−1.32448	+	0.851190i	−0.328829	+	0.944389i	$0.606654\pi$
$882$	28.7342	+	12.7694i	0.967530	+	0.429969i
$883$	−0.219542	−	0.253365i	−0.00738817	−	0.00852641i	0.752043	−	0.659114i	$-0.229068\pi$
$883$	−0.219542	−	0.253365i	−0.00738817	−	0.00852641i	−0.759432	+	0.650587i	$0.774523\pi$
$884$	−1.53329	−	2.97416i	−0.0515700	−	0.100032i
$885$	4.07929	+	13.6543i	0.137124	+	0.458983i
$886$	−2.26144	+	0.905343i	−0.0759745	+	0.0304156i
$887$	28.5411	−	14.7140i	0.958318	−	0.494047i	0.0932172	−	0.995646i	$-0.470285\pi$
$887$	28.5411	−	14.7140i	0.958318	−	0.494047i	0.865100	+	0.501599i	$0.167255\pi$
$888$	−17.3099	−	24.0673i	−0.580881	−	0.807646i
$889$	27.5576	−	19.6399i	0.924253	−	0.658702i
$890$	13.2626	+	20.6371i	0.444565	+	0.691757i
$891$	17.2036	+	40.7287i	0.576342	+	1.36446i
$892$	−0.630002	+	3.26876i	−0.0210940	+	0.109446i
$893$	13.2257	−	13.8707i	0.442581	−	0.464165i
$894$	−35.5560	+	20.7524i	−1.18917	+	0.694065i
$895$	−23.4065	+	3.36535i	−0.782393	+	0.112491i
$896$	−11.1702	+	32.3150i	−0.373170	+	1.07957i
$897$	−21.2020	−	23.7741i	−0.707914	−	0.793793i
$898$	8.42663	−	14.5954i	0.281200	−	0.487053i
$899$	71.9478	−	56.5804i	2.39959	−	1.88706i
$900$	2.18244	+	0.187644i	0.0727480	+	0.00625481i
$901$	−5.35855	−	1.29997i	−0.178519	−	0.0433083i
$902$	32.0281	−	36.9624i	1.06642	−	1.23071i
$903$	2.50786	+	7.12802i	0.0834565	+	0.237206i
$904$	−18.9076	+	12.1512i	−0.628856	+	0.404142i
$905$	−1.04793	+	10.9744i	−0.0348344	+	0.364802i
$906$	−0.631719	+	1.40072i	−0.0209875	+	0.0465357i
$907$	0.852302	−	17.8920i	0.0283002	−	0.594095i	−0.939526	−	0.342477i	$-0.888734\pi$
$907$	0.852302	−	17.8920i	0.0283002	−	0.594095i	0.967827	−	0.251618i	$-0.0809627\pi$
$908$	−0.937937	−	0.737602i	−0.0311265	−	0.0244782i
$909$	−11.2646	+	33.5678i	−0.373622	+	1.11337i
$910$	21.1715	−	3.05245i	0.701828	−	0.101188i
$911$	40.5449	−	35.1324i	1.34331	−	1.16399i	0.371446	−	0.928454i	$-0.378862\pi$
$911$	40.5449	−	35.1324i	1.34331	−	1.16399i	0.971866	−	0.235533i	$-0.0756835\pi$
$912$	−22.3145	−	4.19172i	−0.738906	−	0.138802i
$913$	9.07502	−	17.6031i	0.300339	−	0.582577i
$914$	0.785084	−	0.190459i	0.0259683	−	0.00629984i
$915$	2.92264	+	11.8040i	0.0966195	+	0.390230i
$916$	0.148011	+	0.504078i	0.00489041	+	0.0166552i
$917$	21.6660	−	22.7404i	0.715474	−	0.750955i
$918$	3.59947	−	27.8238i	0.118800	−	0.918321i
$919$	6.83871	−	11.8450i	0.225588	−	0.390730i	−0.730907	−	0.682477i	$-0.760903\pi$
$919$	6.83871	−	11.8450i	0.225588	−	0.390730i	0.956496	+	0.291746i	$0.0942362\pi$
$920$	8.29559	+	15.7204i	0.273498	+	0.518287i
$921$	−12.3930	−	26.8016i	−0.408362	−	0.883144i
$922$	−12.4376	+	31.0675i	−0.409610	+	1.02316i
$923$	−10.9071	+	23.8833i	−0.359013	+	0.786128i
$924$	−2.05038	−	5.04675i	−0.0674525	−	0.166026i
$925$	−12.8487	+	14.8282i	−0.422464	+	0.487549i
$926$	6.68979	+	7.01605i	0.219840	+	0.230562i
$927$	−17.2205	+	22.3279i	−0.565596	+	0.733344i
$928$	6.89762	−	9.68635i	0.226425	−	0.317970i
$929$	−2.60004	+	0.501118i	−0.0853047	+	0.0164411i	−0.231725	−	0.972781i	$-0.574437\pi$
$929$	−2.60004	+	0.501118i	−0.0853047	+	0.0164411i	0.146420	+	0.989222i	$0.453225\pi$
$930$	23.5150	−	30.1937i	0.771087	−	0.990091i
$931$	−5.82614	+	19.8996i	−0.190944	+	0.652182i
$932$	4.15622	+	0.597574i	0.136141	+	0.0195742i
$933$	−12.6251	−	31.1100i	−0.413328	−	1.01850i
$934$	42.4231	+	14.6828i	1.38813	+	0.480436i
$935$	20.3173	+	14.4679i	0.664446	+	0.473150i
$936$	4.02695	−	30.0150i	0.131625	−	0.981072i
$937$	6.40465	−	21.8122i	0.209231	−	0.712574i	−0.786275	−	0.617876i	$-0.787993\pi$
$937$	6.40465	−	21.8122i	0.209231	−	0.712574i	0.995506	−	0.0946980i	$-0.0301886\pi$
$938$	30.7665	−	53.3373i	1.00456	−	1.74153i
$939$	1.12541	−	0.222415i	0.0367264	−	0.00725823i
$940$	1.27867	+	1.79564i	0.0417057	+	0.0585675i
$941$	27.9699	−	21.9958i	0.911793	−	0.717042i	−0.0476741	−	0.998863i	$-0.515181\pi$
$941$	27.9699	−	21.9958i	0.911793	−	0.717042i	0.959467	+	0.281821i	$0.0909385\pi$
$942$	13.6576	−	6.31525i	0.444990	−	0.205762i
$943$	−26.6597	+	17.4955i	−0.868159	+	0.569730i
$944$	−25.8595			−0.841656
$945$	17.3322	+	8.61876i	0.563816	+	0.280368i
$946$	5.03855	−	11.0329i	0.163817	−	0.358710i
$947$	−22.0149	−	5.34076i	−0.715389	−	0.173551i	−0.138486	−	0.990364i	$-0.544224\pi$
$947$	−22.0149	−	5.34076i	−0.715389	−	0.173551i	−0.576903	+	0.816813i	$0.695739\pi$
$948$	0.921032	−	3.19236i	0.0299137	−	0.103683i
$949$	5.18360	+	21.3671i	0.168267	+	0.693605i
$950$	0.636813	+	13.3684i	0.0206610	+	0.433727i
$951$	−9.20650	−	26.2000i	−0.298541	−	0.849594i
$952$	3.56435	−	24.8596i	0.115521	−	0.805703i
$953$	1.31675	−	2.04890i	0.0426537	−	0.0663704i	−0.819272	−	0.573405i	$-0.805622\pi$
$953$	1.31675	−	2.04890i	0.0426537	−	0.0663704i	0.861926	+	0.507035i	$0.169258\pi$
$954$	4.54685	+	5.14842i	0.147210	+	0.166686i
$955$	−8.74309	−	21.8392i	−0.282920	−	0.706700i
$956$	3.99788	+	0.190442i	0.129301	+	0.00615935i
$957$	−7.41245	−	73.9401i	−0.239611	−	2.39014i
$958$	−21.1330	+	9.65114i	−0.682778	+	0.311814i
$959$	−2.36167	−	0.692447i	−0.0762624	−	0.0223603i
$960$	−6.10156	+	15.4517i	−0.196927	+	0.498703i
$961$	25.7863	+	74.5047i	0.831817	+	2.40338i
$962$	−27.0213	−	25.7647i	−0.871201	−	0.830688i
$963$	−3.22142	+	37.4674i	−0.103809	+	1.20737i
$964$	−0.662502	+	1.65485i	−0.0213377	+	0.0532991i
$965$	−21.6837			−0.698022
$966$	3.60807	+	32.7086i	0.116088	+	1.05238i
$967$	16.0698			0.516769			0.258384	−	0.966042i	$-0.416810\pi$
$967$	16.0698			0.516769			0.258384	+	0.966042i	$0.416810\pi$
$968$	12.8487	−	32.0945i	0.412972	−	1.03156i
$969$	18.5005	−	0.0872448i	0.594320	−	0.00280271i
$970$	−8.80935	−	8.39970i	−0.282851	−	0.269698i
$971$	−14.8544	−	42.9189i	−0.476700	−	1.37733i	−0.885470	−	0.464696i	$-0.846164\pi$
$971$	−14.8544	−	42.9189i	−0.476700	−	1.37733i	0.408770	−	0.912637i	$-0.365958\pi$
$972$	−2.53790	+	2.79054i	−0.0814031	+	0.0895067i
$973$	−23.5882	+	22.5089i	−0.756203	+	0.721603i
$974$	−2.69393	+	1.23027i	−0.0863189	+	0.0394205i
$975$	−19.9430	+	1.99928i	−0.638688	+	0.0640281i
$976$	−22.0418	−	1.04998i	−0.705539	−	0.0336090i
$977$	−2.80423	−	7.00463i	−0.0897153	−	0.224098i	0.876724	−	0.480995i	$-0.159724\pi$
$977$	−2.80423	−	7.00463i	−0.0897153	−	0.224098i	−0.966439	+	0.256896i	$0.917300\pi$
$978$	−44.2719	−	41.8164i	−1.41566	−	1.33714i
$979$	−30.9042	+	48.0879i	−0.987704	+	1.53690i
$980$	−2.12064	−	1.09117i	−0.0677415	−	0.0348562i
$981$	−3.23498	−	12.8064i	−0.103285	−	0.408876i
$982$	1.59330	+	33.4475i	0.0508443	+	1.06735i
$983$	−3.80327	−	15.6773i	−0.121306	−	0.500028i	−0.999754	−	0.0221908i	$-0.992936\pi$
$983$	−3.80327	−	15.6773i	−0.121306	−	0.500028i	0.878448	−	0.477838i	$-0.158579\pi$
$984$	−29.1272	−	8.40353i	−0.928542	−	0.267895i
$985$	12.7326	+	3.08888i	0.405693	+	0.0984201i
$986$	−19.5886	+	42.8931i	−0.623829	+	1.36599i
$987$	−7.13731	−	28.7782i	−0.227183	−	0.916019i
$988$	−2.74868			−0.0874472
$989$	−5.12125	+	6.02567i	−0.162846	+	0.191605i
$990$	−10.4386	−	29.2645i	−0.331761	−	0.930086i
$991$	1.23818	−	0.973717i	0.0393321	−	0.0309311i	−0.598299	−	0.801273i	$-0.704157\pi$
$991$	1.23818	−	0.973717i	0.0393321	−	0.0309311i	0.637632	+	0.770341i	$0.279914\pi$
$992$	8.27746	+	11.6241i	0.262810	+	0.369065i
$993$	0.348671	+	1.76426i	0.0110647	+	0.0559872i
$994$	23.4841	−	13.5708i	0.744871	−	0.430440i
$995$	7.88130	−	26.8412i	0.249854	−	0.850924i
$996$	1.68807	+	0.0724358i	0.0534886	+	0.00229522i
$997$	35.0606	+	24.9666i	1.11038	+	0.790699i	0.979649	−	0.200719i	$-0.0643278\pi$
$997$	35.0606	+	24.9666i	1.11038	+	0.790699i	0.130732	+	0.991418i	$0.458267\pi$
$998$	−17.5072	−	6.05932i	−0.554182	−	0.191804i
$999$	−6.86282	−	33.0821i	−0.217130	−	1.04667i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.17	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.44	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.17	yes	1200
21.17	even	6	inner	483.2.bb.a.164.44	yes	1200
23.8	even	11	inner	483.2.bb.a.215.44	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.17	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.44	yes	1200
483.353	even	66	inner	483.2.bb.a.353.17	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.17	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.44	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.17	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.44	yes	1200	21.17	even	6	inner
483.2.bb.a.215.17	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.44	yes	1200	23.8	even	11	inner
483.2.bb.a.353.17	yes	1200	483.353	even	66	inner
483.2.bb.a.353.44	yes	1200	161.31	odd	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.556499 + 1.39007i) q^{2} +(-0.00816795 - 1.73203i) q^{3} +(-0.175125 - 0.166982i) q^{4} +(-0.460513 - 1.33056i) q^{5} +(2.41218 + 0.952519i) q^{6} +(1.82653 + 1.91411i) q^{7} +(-2.39445 + 1.09351i) q^{8} +(-2.99987 + 0.0282943i) q^{9} +O(q^{10})\)	\(q+(-0.556499 + 1.39007i) q^{2} +(-0.00816795 - 1.73203i) q^{3} +(-0.175125 - 0.166982i) q^{4} +(-0.460513 - 1.33056i) q^{5} +(2.41218 + 0.952519i) q^{6} +(1.82653 + 1.91411i) q^{7} +(-2.39445 + 1.09351i) q^{8} +(-2.99987 + 0.0282943i) q^{9} +(2.10585 + 0.100314i) q^{10} +(1.82581 + 4.56066i) q^{11} +(-0.287787 + 0.304686i) q^{12} +(2.07329 - 3.22610i) q^{13} +(-3.67719 + 1.47379i) q^{14} +(-2.30082 + 0.808491i) q^{15} +(-0.210569 - 4.42038i) q^{16} +(0.850141 + 3.50433i) q^{17} +(1.63009 - 4.18576i) q^{18} +(2.87863 + 0.698348i) q^{19} +(-0.141532 + 0.309913i) q^{20} +(3.30037 - 3.17923i) q^{21} -7.35567 q^{22} +(4.61427 + 1.30710i) q^{23} +(1.91355 + 4.13834i) q^{24} +(2.37193 - 1.86531i) q^{25} +(3.33071 + 4.67733i) q^{26} +(0.0735094 + 5.19563i) q^{27} +(-0.000250229 - 0.640204i) q^{28} +(2.46049 - 8.37964i) q^{29} +(0.156546 - 3.64821i) q^{30} +(8.53717 + 6.07929i) q^{31} +(1.28670 + 0.445331i) q^{32} +(7.88429 - 3.19961i) q^{33} +(-5.34435 - 0.768401i) q^{34} +(1.70570 - 3.31178i) q^{35} +(0.530077 + 0.495967i) q^{36} +(-6.38470 + 1.23055i) q^{37} +(-2.57270 + 3.61286i) q^{38} +(-5.60464 - 3.56465i) q^{39} +(2.55766 + 2.68240i) q^{40} +(-4.35421 + 5.02502i) q^{41} +(2.58269 + 6.35698i) q^{42} +(-0.684988 + 1.49991i) q^{43} +(0.441800 - 1.10356i) q^{44} +(1.41912 + 3.97849i) q^{45} +(-4.38479 + 5.68675i) q^{46} +(3.23508 - 5.60333i) q^{47} +(-7.65453 + 0.400817i) q^{48} +(-0.327607 + 6.99233i) q^{49} +(1.27293 + 4.33519i) q^{50} +(6.06266 - 1.50109i) q^{51} +(-0.901784 + 0.218770i) q^{52} +(-0.700686 + 1.35914i) q^{53} +(-7.26318 - 2.78918i) q^{54} +(5.22744 - 4.52960i) q^{55} +(-6.46662 - 2.58591i) q^{56} +(1.18605 - 4.99158i) q^{57} +(10.2790 + 8.08350i) q^{58} +(0.278042 - 5.83682i) q^{59} +(0.537934 + 0.242607i) q^{60} +(0.473986 - 4.96381i) q^{61} +(-13.2015 + 8.48411i) q^{62} +(-5.53349 - 5.69038i) q^{63} +(4.46095 - 5.14821i) q^{64} +(-5.24731 - 1.27298i) q^{65} +(0.0600808 + 12.7403i) q^{66} +(-12.2177 + 9.60812i) q^{67} +(0.436277 - 0.755654i) q^{68} +(2.22624 - 8.00274i) q^{69} +(3.65437 + 4.21404i) q^{70} +(-6.77695 + 0.974379i) q^{71} +(7.15210 - 3.34813i) q^{72} +(-3.95650 + 4.14946i) q^{73} +(1.84253 - 9.55995i) q^{74} +(-3.25015 - 4.09303i) q^{75} +(-0.387510 - 0.602977i) q^{76} +(-5.39469 + 11.8250i) q^{77} +(8.07407 - 5.80710i) q^{78} +(-7.04636 + 3.63265i) q^{79} +(-5.78464 + 2.31582i) q^{80} +(8.99840 - 0.169758i) q^{81} +(-4.56201 - 8.84906i) q^{82} +(-2.64003 - 3.04676i) q^{83} +(-1.10885 + 0.00566256i) q^{84} +(4.27123 - 2.74496i) q^{85} +(-1.70379 - 1.78688i) q^{86} +(-14.5339 - 4.19319i) q^{87} +(-9.35894 - 8.92373i) q^{88} +(6.74952 + 9.47837i) q^{89} +(-6.32010 - 0.241345i) q^{90} +(9.96201 - 1.92406i) q^{91} +(-0.589814 - 0.999403i) q^{92} +(10.4598 - 14.8363i) q^{93} +(5.98868 + 7.61522i) q^{94} +(-0.396449 - 4.15180i) q^{95} +(0.760817 - 2.23224i) q^{96} +(-4.36339 - 3.78090i) q^{97} +(-9.53749 - 4.34662i) q^{98} +(-5.60623 - 13.6297i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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