LMFDB - Embedded newform 572.2.bs.a.15.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(15,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([30, 12, 5]))

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

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

chi := DirichletCharacter("572.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bs (of order $60$, degree $16$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$1280$
Relative dimension:	$80$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			15.6
Character	$\chi$	$=$	572.15
Dual form			572.2.bs.a.267.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39320 - 0.242899i) q^{2} +(-0.355188 - 1.67103i) q^{3} +(1.88200 + 0.676813i) q^{4} +(-0.634502 + 4.00609i) q^{5} +(0.0889558 + 2.41435i) q^{6} +(0.869682 - 0.564778i) q^{7} +(-2.45760 - 1.40007i) q^{8} +(0.0744566 - 0.0331502i) q^{9} +O(q^{10})$	\(q+(-1.39320 - 0.242899i) q^{2} +(-0.355188 - 1.67103i) q^{3} +(1.88200 + 0.676813i) q^{4} +(-0.634502 + 4.00609i) q^{5} +(0.0889558 + 2.41435i) q^{6} +(0.869682 - 0.564778i) q^{7} +(-2.45760 - 1.40007i) q^{8} +(0.0744566 - 0.0331502i) q^{9} +(1.85706 - 5.42715i) q^{10} +(0.558734 + 3.26922i) q^{11} +(0.462510 - 3.38527i) q^{12} +(-3.56105 - 0.564761i) q^{13} +(-1.34882 + 0.575602i) q^{14} +(6.91965 - 0.362644i) q^{15} +(3.08385 + 2.54752i) q^{16} +(-5.71331 + 0.600493i) q^{17} +(-0.111785 + 0.0280994i) q^{18} +(-0.106885 + 2.03949i) q^{19} +(-3.90550 + 7.11001i) q^{20} +(-1.25266 - 1.25266i) q^{21} +(0.0156646 - 4.69039i) q^{22} +(-1.06771 - 1.84932i) q^{23} +(-1.46665 + 4.60401i) q^{24} +(-10.8908 - 3.53865i) q^{25} +(4.82406 + 1.65180i) q^{26} +(-3.09429 - 4.25892i) q^{27} +(2.01899 - 0.474300i) q^{28} +(-5.38648 + 5.98229i) q^{29} +(-9.72853 - 1.17554i) q^{30} +(-0.637363 - 4.02415i) q^{31} +(-3.67762 - 4.29827i) q^{32} +(5.26451 - 2.09485i) q^{33} +(8.10562 + 0.551152i) q^{34} +(1.71073 + 3.84237i) q^{35} +(0.162564 - 0.0119955i) q^{36} +(4.79998 - 0.251556i) q^{37} +(0.644303 - 2.81545i) q^{38} +(0.321109 + 6.15121i) q^{39} +(7.16816 - 8.95701i) q^{40} +(-1.68662 + 2.59717i) q^{41} +(1.44093 + 2.04948i) q^{42} +(-4.22966 + 7.32599i) q^{43} +(-1.16112 + 6.53084i) q^{44} +(0.0855598 + 0.319313i) q^{45} +(1.03833 + 2.83582i) q^{46} +(1.79826 + 3.52928i) q^{47} +(3.16164 - 6.05805i) q^{48} +(-2.40978 + 5.41246i) q^{49} +(14.3136 + 7.57542i) q^{50} +(3.03274 + 9.33381i) q^{51} +(-6.31965 - 3.47304i) q^{52} +(6.10155 + 4.43303i) q^{53} +(3.27647 + 6.68512i) q^{54} +(-13.4513 + 0.164009i) q^{55} +(-2.92806 + 0.170383i) q^{56} +(3.44602 - 0.545795i) q^{57} +(8.95752 - 7.02614i) q^{58} +(6.58274 - 4.27488i) q^{59} +(13.2682 + 4.00082i) q^{60} +(0.122866 + 1.16899i) q^{61} +(-0.0894904 + 5.76125i) q^{62} +(0.0460311 - 0.0708816i) q^{63} +(4.07960 + 6.88163i) q^{64} +(4.52197 - 13.9075i) q^{65} +(-7.84334 + 1.63980i) q^{66} +(-1.81893 + 6.78835i) q^{67} +(-11.1589 - 2.73671i) q^{68} +(-2.71104 + 2.44103i) q^{69} +(-1.45008 - 5.76872i) q^{70} +(-1.75180 + 2.16329i) q^{71} +(-0.229397 - 0.0227745i) q^{72} +(0.456878 - 0.896674i) q^{73} +(-6.74842 - 0.815444i) q^{74} +(-2.04489 + 19.4558i) q^{75} +(-1.58151 + 3.76598i) q^{76} +(2.33231 + 2.52762i) q^{77} +(1.04676 - 8.64785i) q^{78} +(9.38910 - 12.9230i) q^{79} +(-12.1623 + 10.7378i) q^{80} +(-5.85412 + 6.50166i) q^{81} +(2.98065 - 3.20869i) q^{82} +(-12.4330 - 1.96919i) q^{83} +(-1.50969 - 3.20533i) q^{84} +(1.21948 - 23.2690i) q^{85} +(7.67223 - 9.17917i) q^{86} +(11.9098 + 6.87612i) q^{87} +(3.20400 - 8.81671i) q^{88} +(-3.71947 + 13.8812i) q^{89} +(-0.0416407 - 0.465649i) q^{90} +(-3.41594 + 1.52004i) q^{91} +(-0.757779 - 4.20306i) q^{92} +(-6.49809 + 2.49438i) q^{93} +(-1.64807 - 5.35378i) q^{94} +(-8.10256 - 1.72225i) q^{95} +(-5.87629 + 7.67210i) q^{96} +(-2.56762 + 6.68888i) q^{97} +(4.67199 - 6.95530i) q^{98} +(0.149977 + 0.224893i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9}+O(q^{10}) $ 1280 * q - 12 * q^2 - 18 * q^4 - 24 * q^5 - 4 * q^6 - 12 * q^8 - 156 * q^9	$ 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9} - 48 q^{10} - 24 q^{13} - 40 q^{14} + 18 q^{16} - 36 q^{17} - 8 q^{18} + 18 q^{20} - 40 q^{21} - 10 q^{22} - 100 q^{24} - 44 q^{26} - 4 q^{28} - 12 q^{29} - 114 q^{30} - 92 q^{32} - 20 q^{33} + 36 q^{34} - 72 q^{36} - 24 q^{37} + 8 q^{40} + 26 q^{42} - 20 q^{44} - 80 q^{45} + 32 q^{46} + 30 q^{48} - 36 q^{49} - 78 q^{50} + 34 q^{52} - 80 q^{53} - 188 q^{54} - 48 q^{56} - 92 q^{58} + 20 q^{60} - 28 q^{61} + 42 q^{62} - 48 q^{65} + 204 q^{66} + 26 q^{68} - 36 q^{69} + 38 q^{70} - 136 q^{72} - 24 q^{73} - 6 q^{74} - 276 q^{76} - 156 q^{78} - 80 q^{80} + 60 q^{81} + 162 q^{82} - 108 q^{84} + 16 q^{85} - 88 q^{86} + 6 q^{88} - 64 q^{89} - 16 q^{92} + 64 q^{93} + 34 q^{94} + 114 q^{96} - 8 q^{97} - 24 q^{98}+O(q^{100}) $ 1280 * q - 12 * q^2 - 18 * q^4 - 24 * q^5 - 4 * q^6 - 12 * q^8 - 156 * q^9 - 48 * q^10 - 24 * q^13 - 40 * q^14 + 18 * q^16 - 36 * q^17 - 8 * q^18 + 18 * q^20 - 40 * q^21 - 10 * q^22 - 100 * q^24 - 44 * q^26 - 4 * q^28 - 12 * q^29 - 114 * q^30 - 92 * q^32 - 20 * q^33 + 36 * q^34 - 72 * q^36 - 24 * q^37 + 8 * q^40 + 26 * q^42 - 20 * q^44 - 80 * q^45 + 32 * q^46 + 30 * q^48 - 36 * q^49 - 78 * q^50 + 34 * q^52 - 80 * q^53 - 188 * q^54 - 48 * q^56 - 92 * q^58 + 20 * q^60 - 28 * q^61 + 42 * q^62 - 48 * q^65 + 204 * q^66 + 26 * q^68 - 36 * q^69 + 38 * q^70 - 136 * q^72 - 24 * q^73 - 6 * q^74 - 276 * q^76 - 156 * q^78 - 80 * q^80 + 60 * q^81 + 162 * q^82 - 108 * q^84 + 16 * q^85 - 88 * q^86 + 6 * q^88 - 64 * q^89 - 16 * q^92 + 64 * q^93 + 34 * q^94 + 114 * q^96 - 8 * q^97 - 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−1.39320	−	0.242899i	−0.985140	−	0.171756i
$2$	−1.39320	−	0.242899i	−0.985140	−	0.171756i
$3$	−0.355188	−	1.67103i	−0.205068	−	0.964769i	−0.953462	−	0.301514i	$-0.902508\pi$
$3$	−0.355188	−	1.67103i	−0.205068	−	0.964769i	0.748394	−	0.663255i	$-0.230825\pi$
$4$	1.88200	+	0.676813i	0.941000	+	0.338407i
$5$	−0.634502	+	4.00609i	−0.283758	+	1.79158i	0.274164	+	0.961683i	$0.411599\pi$
$5$	−0.634502	+	4.00609i	−0.283758	+	1.79158i	−0.557922	+	0.829893i	$0.688401\pi$
$6$	0.0889558	+	2.41435i	0.0363161	+	0.985654i
$7$	0.869682	−	0.564778i	0.328709	−	0.213466i	−0.369724	−	0.929142i	$-0.620548\pi$
$7$	0.869682	−	0.564778i	0.328709	−	0.213466i	0.698433	+	0.715676i	$0.253881\pi$
$8$	−2.45760	−	1.40007i	−0.868893	−	0.495000i
$9$	0.0744566	−	0.0331502i	0.0248189	−	0.0110501i
$10$	1.85706	−	5.42715i	0.587254	−	1.71622i
$11$	0.558734	+	3.26922i	0.168465	+	0.985708i
$11$	0.558734	+	3.26922i	0.168465	+	0.985708i
$12$	0.462510	−	3.38527i	0.133515	−	0.977244i
$13$	−3.56105	−	0.564761i	−0.987656	−	0.156637i
$13$	−3.56105	−	0.564761i	−0.987656	−	0.156637i
$14$	−1.34882	+	0.575602i	−0.360488	+	0.153836i
$15$	6.91965	−	0.362644i	1.78665	−	0.0936342i
$16$	3.08385	+	2.54752i	0.770962	+	0.636881i
$17$	−5.71331	+	0.600493i	−1.38568	+	0.145641i	−0.767829	−	0.640655i	$-0.778663\pi$
$17$	−5.71331	+	0.600493i	−1.38568	+	0.145641i	−0.617851	+	0.786295i	$0.711996\pi$
$18$	−0.111785	+	0.0280994i	−0.0263480	+	0.00662308i
$19$	−0.106885	+	2.03949i	−0.0245212	+	0.467892i	0.958579	+	0.284825i	$0.0919356\pi$
$19$	−0.106885	+	2.03949i	−0.0245212	+	0.467892i	−0.983101	+	0.183066i	$0.941398\pi$
$20$	−3.90550	+	7.11001i	−0.873297	+	1.58985i
$21$	−1.25266	−	1.25266i	−0.273353	−	0.273353i
$22$	0.0156646	−	4.69039i	0.00333971	−	0.999994i
$23$	−1.06771	−	1.84932i	−0.222632	−	0.385611i	0.732974	−	0.680256i	$-0.238132\pi$
$23$	−1.06771	−	1.84932i	−0.222632	−	0.385611i	−0.955606	+	0.294646i	$0.904798\pi$
$24$	−1.46665	+	4.60401i	−0.299378	+	0.939790i
$25$	−10.8908	−	3.53865i	−2.17817	−	0.707730i
$26$	4.82406	+	1.65180i	0.946076	+	0.323944i
$27$	−3.09429	−	4.25892i	−0.595496	−	0.819630i
$28$	2.01899	−	0.474300i	0.381553	−	0.0896343i
$29$	−5.38648	+	5.98229i	−1.00024	+	1.11088i	−0.00641270	+	0.999979i	$0.502041\pi$
$29$	−5.38648	+	5.98229i	−1.00024	+	1.11088i	−0.993831	+	0.110904i	$0.964625\pi$
$30$	−9.72853	−	1.17554i	−1.77618	−	0.214624i
$31$	−0.637363	−	4.02415i	−0.114474	−	0.722759i	−0.976439	−	0.215792i	$-0.930767\pi$
$31$	−0.637363	−	4.02415i	−0.114474	−	0.722759i	0.861966	−	0.506967i	$-0.169233\pi$
$32$	−3.67762	−	4.29827i	−0.650117	−	0.759834i
$33$	5.26451	−	2.09485i	0.916434	−	0.364667i
$34$	8.10562	+	0.551152i	1.39010	+	0.0945218i
$35$	1.71073	+	3.84237i	0.289167	+	0.649480i
$36$	0.162564	−	0.0119955i	0.0270940	−	0.00199925i
$37$	4.79998	−	0.251556i	0.789112	−	0.0413556i	0.346478	−	0.938058i	$-0.387377\pi$
$37$	4.79998	−	0.251556i	0.789112	−	0.0413556i	0.442634	+	0.896702i	$0.354044\pi$
$38$	0.644303	−	2.81545i	0.104520	−	0.456727i
$39$	0.321109	+	6.15121i	0.0514185	+	0.984981i
$40$	7.16816	−	8.95701i	1.13339	−	1.41623i
$41$	−1.68662	+	2.59717i	−0.263406	+	0.405610i	−0.945483	−	0.325670i	$-0.894410\pi$
$41$	−1.68662	+	2.59717i	−0.263406	+	0.405610i	0.682077	+	0.731280i	$0.261077\pi$
$42$	1.44093	+	2.04948i	0.222341	+	0.316241i
$43$	−4.22966	+	7.32599i	−0.645017	+	1.11720i	0.339280	+	0.940685i	$0.389817\pi$
$43$	−4.22966	+	7.32599i	−0.645017	+	1.11720i	−0.984297	+	0.176518i	$0.943517\pi$
$44$	−1.16112	+	6.53084i	−0.175045	+	0.984560i
$45$	0.0855598	+	0.319313i	0.0127545	+	0.0476004i
$46$	1.03833	+	2.83582i	0.153093	+	0.418119i
$47$	1.79826	+	3.52928i	0.262303	+	0.514798i	0.984169	−	0.177235i	$-0.0567153\pi$
$47$	1.79826	+	3.52928i	0.262303	+	0.514798i	−0.721866	+	0.692033i	$0.756715\pi$
$48$	3.16164	−	6.05805i	0.456344	−	0.874404i
$49$	−2.40978	+	5.41246i	−0.344255	+	0.773209i
$50$	14.3136	+	7.57542i	2.02424	+	1.07133i
$51$	3.03274	+	9.33381i	0.424668	+	1.30700i
$52$	−6.31965	−	3.47304i	−0.876378	−	0.481624i
$53$	6.10155	+	4.43303i	0.838112	+	0.608924i	0.921843	−	0.387565i	$-0.126684\pi$
$53$	6.10155	+	4.43303i	0.838112	+	0.608924i	−0.0837308	+	0.996488i	$0.526684\pi$
$54$	3.27647	+	6.68512i	0.445871	+	0.909730i
$55$	−13.4513	+	0.164009i	−1.81377	+	0.0221150i
$56$	−2.92806	+	0.170383i	−0.391278	+	0.0227683i
$57$	3.44602	−	0.545795i	0.456436	−	0.0722923i
$58$	8.95752	−	7.02614i	1.17618	−	0.922578i
$59$	6.58274	−	4.27488i	0.856999	−	0.556542i	−0.0396850	−	0.999212i	$-0.512635\pi$
$59$	6.58274	−	4.27488i	0.856999	−	0.556542i	0.896684	+	0.442670i	$0.145969\pi$
$60$	13.2682	+	4.00082i	1.71292	+	0.516503i
$61$	0.122866	+	1.16899i	0.0157314	+	0.149674i	0.999568	−	0.0293950i	$-0.00935806\pi$
$61$	0.122866	+	1.16899i	0.0157314	+	0.149674i	−0.983836	+	0.179069i	$0.942691\pi$
$62$	−0.0894904	+	5.76125i	−0.0113653	+	0.731680i
$63$	0.0460311	−	0.0708816i	0.00579937	−	0.00893024i
$64$	4.07960	+	6.88163i	0.509950	+	0.860204i
$65$	4.52197	−	13.9075i	0.560882	−	1.72501i
$66$	−7.84334	+	1.63980i	−0.965449	+	0.201845i
$67$	−1.81893	+	6.78835i	−0.222218	+	0.829329i	0.761282	+	0.648421i	$0.224570\pi$
$67$	−1.81893	+	6.78835i	−0.222218	+	0.829329i	−0.983500	+	0.180908i	$0.942096\pi$
$68$	−11.1589	−	2.73671i	−1.35321	−	0.331875i
$69$	−2.71104	+	2.44103i	−0.326370	+	0.293865i
$70$	−1.45008	−	5.76872i	−0.173318	−	0.689494i
$71$	−1.75180	+	2.16329i	−0.207900	+	0.256735i	−0.870421	−	0.492308i	$-0.836153\pi$
$71$	−1.75180	+	2.16329i	−0.207900	+	0.256735i	0.662521	+	0.749043i	$0.269487\pi$
$72$	−0.229397	−	0.0227745i	−0.0270347	−	0.00268400i
$73$	0.456878	−	0.896674i	0.0534735	−	0.104948i	−0.862723	−	0.505676i	$-0.831243\pi$
$73$	0.456878	−	0.896674i	0.0534735	−	0.104948i	0.916197	+	0.400729i	$0.131243\pi$
$74$	−6.74842	−	0.815444i	−0.784488	−	0.0947934i
$75$	−2.04489	+	19.4558i	−0.236123	+	2.24656i
$76$	−1.58151	+	3.76598i	−0.181412	+	0.431988i
$77$	2.33231	+	2.52762i	0.265791	+	0.288049i
$78$	1.04676	−	8.64785i	0.118522	−	0.979176i
$79$	9.38910	−	12.9230i	1.05636	−	1.45395i	0.173190	−	0.984888i	$-0.444592\pi$
$79$	9.38910	−	12.9230i	1.05636	−	1.45395i	0.883166	−	0.469061i	$-0.155408\pi$
$80$	−12.1623	+	10.7378i	−1.35979	+	1.20052i
$81$	−5.85412	+	6.50166i	−0.650458	+	0.722407i
$82$	2.98065	−	3.20869i	0.329158	−	0.354341i
$83$	−12.4330	−	1.96919i	−1.36470	−	0.216147i	−0.569248	−	0.822166i	$-0.692765\pi$
$83$	−12.4330	−	1.96919i	−1.36470	−	0.216147i	−0.795450	+	0.606019i	$0.792765\pi$
$84$	−1.50969	−	3.20533i	−0.164721	−	0.349730i
$85$	1.21948	−	23.2690i	0.132271	−	2.52388i
$86$	7.67223	−	9.17917i	0.827318	−	0.989816i
$87$	11.9098	+	6.87612i	1.27686	+	0.737198i
$88$	3.20400	−	8.81671i	0.341547	−	0.939865i
$89$	−3.71947	+	13.8812i	−0.394263	+	1.47141i	0.428769	+	0.903414i	$0.358947\pi$
$89$	−3.71947	+	13.8812i	−0.394263	+	1.47141i	−0.823032	+	0.567995i	$0.807719\pi$
$90$	−0.0416407	−	0.465649i	−0.00438932	−	0.0490837i
$91$	−3.41594	+	1.52004i	−0.358088	+	0.159343i
$92$	−0.757779	−	4.20306i	−0.0790039	−	0.438200i
$93$	−6.49809	+	2.49438i	−0.673820	+	0.258655i
$94$	−1.64807	−	5.35378i	−0.169985	−	0.552200i
$95$	−8.10256	−	1.72225i	−0.831305	−	0.176699i
$96$	−5.87629	+	7.67210i	−0.599746	+	0.783031i
$97$	−2.56762	+	6.68888i	−0.260702	+	0.679153i	0.739281	+	0.673397i	$0.235165\pi$
$97$	−2.56762	+	6.68888i	−0.260702	+	0.679153i	−0.999983	+	0.00575569i	$0.998168\pi$
$98$	4.67199	−	6.95530i	0.471942	−	0.702591i
$99$	0.149977	+	0.224893i	0.0150732	+	0.0226026i
$100$	−18.1016	−	14.0308i	−1.81016	−	1.40308i
$101$	6.15334	+	0.646742i	0.612281	+	0.0643533i	0.405593	−	0.914054i	$-0.367065\pi$
$101$	6.15334	+	0.646742i	0.612281	+	0.0643533i	0.206687	+	0.978407i	$0.433732\pi$
$102$	−1.95803	−	13.7405i	−0.193874	−	1.36051i
$103$	−4.79754	−	14.7653i	−0.472715	−	1.45487i	−0.849014	−	0.528370i	$-0.822803\pi$
$103$	−4.79754	−	14.7653i	−0.472715	−	1.45487i	0.376299	−	0.926498i	$-0.377197\pi$
$104$	7.96092	+	6.37367i	0.780633	+	0.624990i
$105$	5.81308	−	4.22345i	0.567299	−	0.412167i
$106$	−7.42388	−	7.65815i	−0.721071	−	0.743825i
$107$	1.19788	+	5.63558i	0.115803	+	0.544812i	0.997352	+	0.0727194i	$0.0231678\pi$
$107$	1.19788	+	5.63558i	0.115803	+	0.544812i	−0.881549	+	0.472092i	$0.843499\pi$
$108$	−2.94096	−	10.1096i	−0.282994	−	0.972792i
$109$	−0.571834	+	0.571834i	−0.0547718	+	0.0547718i	−0.733962	−	0.679190i	$-0.762331\pi$
$109$	−0.571834	+	0.571834i	−0.0547718	+	0.0547718i	0.679190	+	0.733962i	$0.262331\pi$
$110$	18.7802	+	3.03881i	1.79062	+	0.289740i
$111$	−2.12525	−	7.93156i	−0.201720	−	0.752830i
$112$	4.12075	+	0.473847i	0.389375	+	0.0447743i
$113$	4.30321	+	4.77920i	0.404812	+	0.449590i	0.910736	−	0.412988i	$-0.135515\pi$
$113$	4.30321	+	4.77920i	0.404812	+	0.449590i	−0.505924	+	0.862578i	$0.668848\pi$
$114$	−4.93355	−	0.0766337i	−0.462070	−	0.00717740i
$115$	8.08601	−	3.10393i	0.754024	−	0.289443i
$116$	−14.1862	+	7.61303i	−1.31716	+	0.706852i
$117$	−0.283865	+	0.0759992i	−0.0262434	+	0.00702613i
$118$	−10.2094	+	4.35681i	−0.939853	+	0.401077i
$119$	−4.62961	+	3.74899i	−0.424396	+	0.343669i
$120$	−17.5135	−	8.79677i	−1.59875	−	0.803032i
$121$	−10.3756	+	3.65325i	−0.943239	+	0.332114i
$122$	0.112771	−	1.65848i	0.0102098	−	0.150152i
$123$	4.93902	+	1.89591i	0.445336	+	0.170949i
$124$	1.52408	−	8.00483i	0.136867	−	0.718855i
$125$	11.8794	−	23.3147i	1.06253	−	2.08533i
$126$	−0.0813474	+	0.0875712i	−0.00724701	+	0.00780146i
$127$	−3.86343	−	1.72011i	−0.342824	−	0.152635i	0.228100	−	0.973638i	$-0.426749\pi$
$127$	−3.86343	−	1.72011i	−0.342824	−	0.152635i	−0.570925	+	0.821002i	$0.693415\pi$
$128$	−4.01215	−	10.5784i	−0.354627	−	0.935008i
$129$	13.7443	+	4.46578i	1.21012	+	0.393190i
$130$	−9.67812	+	18.2775i	−0.848828	+	1.60305i
$131$		−	21.6052i		−	1.88765i	−0.330439	−	0.943827i	$-0.607197\pi$
$131$		−	21.6052i		−	1.88765i	0.330439	−	0.943827i	$-0.392803\pi$
$132$	11.3256	−	0.379417i	0.985770	−	0.0330241i
$133$	1.05890	+	1.83408i	0.0918186	+	0.159035i
$134$	4.18302	−	9.01570i	0.361358	−	0.778838i
$135$	19.0249	−	9.69369i	1.63741	−	0.834300i
$136$	14.8818	+	6.52326i	1.27610	+	0.559365i
$137$	1.56222	−	1.92918i	0.133469	−	0.164821i	−0.706029	−	0.708183i	$-0.749515\pi$
$137$	1.56222	−	1.92918i	0.133469	−	0.164821i	0.839499	+	0.543362i	$0.182849\pi$
$138$	4.36993	−	2.74233i	0.371993	−	0.233442i
$139$	−1.50190	+	7.06589i	−0.127390	+	0.599321i	0.867421	+	0.497575i	$0.165776\pi$
$139$	−1.50190	+	7.06589i	−0.127390	+	0.599321i	−0.994810	+	0.101746i	$0.967557\pi$
$140$	0.619034	+	8.38919i	0.0523179	+	0.709016i
$141$	5.25881	−	4.25850i	0.442871	−	0.358630i
$142$	2.96606	−	2.58838i	0.248906	−	0.217212i
$143$	−0.143346	−	11.9574i	−0.0119872	−	0.999928i
$144$	0.314064	+	0.0874498i	0.0261720	+	0.00728749i
$145$	−20.5478	−	25.3745i	−1.70641	−	2.10723i
$146$	−0.854323	+	1.13827i	−0.0707043	+	0.0942038i
$147$	9.90031	+	2.10438i	0.816564	+	0.173566i
$148$	9.20382	+	2.77526i	0.756549	+	0.228125i
$149$	3.57541	+	2.89531i	0.292909	+	0.237193i	0.764499	−	0.644625i	$-0.222986\pi$
$149$	3.57541	+	2.89531i	0.292909	+	0.237193i	−0.471590	+	0.881818i	$0.656320\pi$
$150$	7.57474	−	26.6091i	0.618475	−	2.17262i
$151$	7.41370	+	14.5502i	0.603318	+	1.18408i	0.967528	+	0.252762i	$0.0813390\pi$
$151$	7.41370	+	14.5502i	0.603318	+	1.18408i	−0.364210	+	0.931317i	$0.618661\pi$
$152$	3.11811	−	4.86261i	0.252913	−	0.394410i
$153$	−0.405487	+	0.234108i	−0.0327817	+	0.0189265i
$154$	−2.63541	−	4.08799i	−0.212367	−	0.329420i
$155$	16.5255			1.32736
$156$	−3.55889	+	11.7939i	−0.284939	+	0.944268i
$157$	1.96758	−	6.05557i	0.157030	−	0.483287i	−0.841331	−	0.540520i	$-0.818228\pi$
$157$	1.96758	−	6.05557i	0.157030	−	0.483287i	0.998361	+	0.0572324i	$0.0182276\pi$
$158$	−16.2199	+	15.7237i	−1.29038	+	1.25091i
$159$	5.24053	−	11.7704i	0.415601	−	0.933455i
$160$	19.5527	−	12.0056i	1.54578	−	0.949126i
$161$	−1.97302	−	1.00531i	−0.155496	−	0.0792292i
$162$	9.73520	−	7.63614i	0.764869	−	0.599952i
$163$	−8.28604	+	21.5859i	−0.649012	+	1.69074i	0.0716326	+	0.997431i	$0.477179\pi$
$163$	−8.28604	+	21.5859i	−0.649012	+	1.69074i	−0.720645	+	0.693304i	$0.756154\pi$
$164$	−4.93202	+	3.74635i	−0.385126	+	0.292541i
$165$	5.05181	+	22.4193i	0.393283	+	1.74534i
$166$	16.8433	+	5.76344i	1.30729	+	0.447329i
$167$	5.10781	+	6.30762i	0.395254	+	0.488098i	0.935459	−	0.353435i	$-0.114987\pi$
$167$	5.10781	+	6.30762i	0.395254	+	0.488098i	−0.540205	+	0.841534i	$0.681653\pi$
$168$	1.32473	+	4.83236i	0.102205	+	0.372824i
$169$	12.3621	+	4.02228i	0.950930	+	0.309406i
$170$	−7.35099	+	32.1221i	−0.563796	+	2.46365i
$171$	0.0596513	+	0.155397i	0.00456165	+	0.0118835i
$172$	−12.9186	+	10.9248i	−0.985030	+	0.833010i
$173$	12.0837	−	10.8802i	0.918707	−	0.827207i	−0.0666389	−	0.997777i	$-0.521228\pi$
$173$	12.0837	−	10.8802i	0.918707	−	0.827207i	0.985346	+	0.170570i	$0.0545609\pi$
$174$	−14.9225	−	12.4727i	−1.13127	−	0.945551i
$175$	−11.4701	+	3.07341i	−0.867060	+	0.232328i
$176$	−6.60538	+	11.5052i	−0.497899	+	0.867235i
$177$	−9.48156	−	9.48156i	−0.712678	−	0.712678i
$178$	8.55370	−	18.4359i	0.641127	−	1.38183i
$179$	−0.890982	+	0.189384i	−0.0665951	+	0.0141552i	−0.241089	−	0.970503i	$-0.577504\pi$
$179$	−0.890982	+	0.189384i	−0.0665951	+	0.0141552i	0.174494	+	0.984658i	$0.444171\pi$
$180$	−0.0550921	+	0.658856i	−0.00410632	+	0.0491082i
$181$	−7.21091	−	9.92496i	−0.535982	−	0.737716i	0.452045	−	0.891995i	$-0.350695\pi$
$181$	−7.21091	−	9.92496i	−0.535982	−	0.737716i	−0.988027	+	0.154279i	$0.950695\pi$
$182$	5.12830	−	1.28798i	0.380135	−	0.0954717i
$183$	1.90978	−	0.620526i	0.141175	−	0.0458706i
$184$	0.0348145	+	6.03976i	0.00256656	+	0.445257i
$185$	−2.03784	+	19.3887i	−0.149825	+	1.42549i
$186$	9.65901	−	1.89679i	0.708233	−	0.139079i
$187$	−5.15536	−	18.3426i	−0.376997	−	1.34134i
$188$	0.995657	+	7.85918i	0.0726158	+	0.573190i
$189$	−5.09639	−	1.95632i	−0.370708	−	0.142302i
$190$	10.8701	+	4.36754i	0.788603	+	0.316855i
$191$	4.32019	−	20.3249i	0.312598	−	1.47066i	−0.488731	−	0.872434i	$-0.662540\pi$
$191$	4.32019	−	20.3249i	0.312598	−	1.47066i	0.801329	−	0.598223i	$-0.204126\pi$
$192$	10.0504	−	9.26141i	0.725324	−	0.668385i
$193$	−4.57520	−	11.9188i	−0.329330	−	0.857935i	−0.993857	−	0.110670i	$-0.964700\pi$
$193$	−4.57520	−	11.9188i	−0.329330	−	0.857935i	0.664527	−	0.747264i	$-0.268633\pi$
$194$	5.20192	−	8.69526i	0.373476	−	0.624283i
$195$	−24.8460	−	2.61656i	−1.77926	−	0.187376i
$196$	−8.19844	+	8.55528i	−0.585603	+	0.611092i
$197$	12.9415	+	3.46766i	0.922042	+	0.247060i	0.688458	−	0.725276i	$-0.258288\pi$
$197$	12.9415	+	3.46766i	0.922042	+	0.247060i	0.233584	+	0.972337i	$0.424955\pi$
$198$	−0.154321	−	0.349750i	−0.0109671	−	0.0248556i
$199$	−1.35851	+	2.35302i	−0.0963025	+	0.166801i	−0.910151	−	0.414276i	$-0.864035\pi$
$199$	−1.35851	+	2.35302i	−0.0963025	+	0.166801i	0.813849	+	0.581076i	$0.197368\pi$
$200$	21.8110	+	23.9446i	1.54227	+	1.69314i
$201$	11.9896	+	0.628348i	0.845681	+	0.0443203i
$202$	−8.41573	−	2.39568i	−0.592129	−	0.168560i
$203$	−1.30586	+	8.24485i	−0.0916532	+	0.578675i
$204$	−0.609632	+	19.6188i	−0.0426828	+	1.37359i
$205$	−9.33433	−	8.40466i	−0.651938	−	0.587007i
$206$	3.09744	+	21.7363i	0.215809	+	1.51444i
$207$	−0.140803	−	0.102300i	−0.00978651	−	0.00711031i
$208$	−9.54298	−	10.8135i	−0.661687	−	0.749781i
$209$	−6.72727	+	0.790102i	−0.465335	+	0.0546525i
$210$	−9.12465	+	4.47211i	−0.629661	+	0.308605i
$211$	9.75803	+	1.02561i	0.671771	+	0.0706059i	0.434272	−	0.900782i	$-0.357006\pi$
$211$	9.75803	+	1.02561i	0.671771	+	0.0706059i	0.237499	+	0.971388i	$0.423672\pi$
$212$	8.48277	+	12.4726i	0.582599	+	0.856620i
$213$	4.23714	+	2.15893i	0.290324	+	0.147927i
$214$	−0.300005	−	8.14243i	−0.0205079	−	0.556605i
$215$	−26.6648	−	21.5927i	−1.81853	−	1.47261i
$216$	1.64173	+	14.7990i	0.111706	+	1.00694i
$217$	−2.82705	−	3.13976i	−0.191913	−	0.213141i
$218$	0.935576	−	0.657780i	0.0633652	−	0.0445505i
$219$	−1.66065	−	0.444969i	−0.112216	−	0.0300682i
$220$	−25.4264	−	8.79536i	−1.71424	−	0.592983i
$221$	20.6845	+	1.08827i	1.39139	+	0.0732051i
$222$	1.03433	+	11.5665i	0.0694197	+	0.776289i
$223$	12.5167	+	8.12843i	0.838179	+	0.544320i	0.890853	−	0.454292i	$-0.150108\pi$
$223$	12.5167	+	8.12843i	0.838179	+	0.544320i	−0.0526735	+	0.998612i	$0.516774\pi$
$224$	−5.62593	−	1.66109i	−0.375898	−	0.110986i
$225$	−0.928203	+	0.0975581i	−0.0618802	+	0.00650387i
$226$	−4.83436	−	7.70362i	−0.321577	−	0.512437i
$227$	−6.97391	−	10.7389i	−0.462875	−	0.712765i	0.527746	−	0.849402i	$-0.323037\pi$
$227$	−6.97391	−	10.7389i	−0.462875	−	0.712765i	−0.990621	+	0.136637i	$0.956371\pi$
$228$	6.85480	+	1.30512i	0.453970	+	0.0864338i
$229$	−1.05224	−	6.64358i	−0.0695340	−	0.439020i	−0.997754	−	0.0669880i	$-0.978661\pi$
$229$	−1.05224	−	6.64358i	−0.0695340	−	0.439020i	0.928220	−	0.372032i	$-0.121339\pi$
$230$	−12.0194	+	2.36030i	−0.792533	+	0.155634i
$231$	3.39532	−	4.79513i	0.223396	−	0.315497i
$232$	21.6134	−	7.16063i	1.41899	−	0.470118i
$233$	−10.5748	+	14.5550i	−0.692781	+	0.953531i	0.307218	+	0.951639i	$0.400602\pi$
$233$	−10.5748	+	14.5550i	−0.692781	+	0.953531i	−0.999998	+	0.00189147i	$0.999398\pi$
$234$	0.413941	−	0.0369313i	0.0270602	−	0.00241427i
$235$	−15.2796	+	4.96464i	−0.996730	+	0.323857i
$236$	15.2820	−	3.59004i	0.994774	−	0.233692i
$237$	−24.9296	−	11.0994i	−1.61935	−	0.720981i
$238$	7.36059	−	4.09855i	0.477116	−	0.265670i
$239$	−11.2321	+	5.72305i	−0.726545	+	0.370193i	−0.777816	−	0.628492i	$-0.783673\pi$
$239$	−11.2321	+	5.72305i	−0.726545	+	0.370193i	0.0512713	+	0.998685i	$0.483673\pi$
$240$	22.2630	+	16.5097i	1.43707	+	1.06569i
$241$	15.3323	−	4.10828i	0.987641	−	0.264638i	0.271382	−	0.962472i	$-0.412519\pi$
$241$	15.3323	−	4.10828i	0.987641	−	0.264638i	0.716259	+	0.697834i	$0.245853\pi$
$242$	15.3427	−	2.56947i	0.986265	−	0.165172i
$243$	−0.733321	−	0.423383i	−0.0470426	−	0.0271601i
$244$	−0.559956	+	2.28320i	−0.0358475	+	0.146167i
$245$	−20.1538	−	13.0880i	−1.28758	−	0.836163i
$246$	−6.42051	−	3.84106i	−0.409357	−	0.244897i
$247$	1.53245	−	7.20236i	0.0975074	−	0.458275i
$248$	−4.06771	+	10.7821i	−0.258300	+	0.684664i
$249$	1.12547	+	21.4753i	0.0713240	+	1.36094i
$250$	−22.2135	+	29.5965i	−1.40491	+	1.87184i
$251$	−16.4558	+	7.32659i	−1.03868	+	0.462450i	−0.853959	−	0.520340i	$-0.825805\pi$
$251$	−16.4558	+	7.32659i	−1.03868	+	0.462450i	−0.184722	+	0.982791i	$0.559138\pi$
$252$	0.134604	−	0.102245i	0.00847926	−	0.00644081i
$253$	5.44928	−	4.52385i	0.342594	−	0.284412i
$254$	4.96471	+	3.33488i	0.311514	+	0.209249i
$255$	−39.3163	+	6.22709i	−2.46208	+	0.389956i
$256$	3.02023	+	15.7124i	0.188765	+	0.982022i
$257$	1.02307	+	0.921172i	0.0638171	+	0.0574611i	0.700422	−	0.713729i	$-0.252995\pi$
$257$	1.02307	+	0.921172i	0.0638171	+	0.0574611i	−0.636605	+	0.771190i	$0.719662\pi$
$258$	−18.0638	−	9.56019i	−1.12460	−	0.595192i
$259$	4.03238	−	2.92970i	0.250560	−	0.182043i
$260$	17.9231	−	23.1134i	1.11155	−	1.43343i
$261$	−0.202745	+	0.623984i	−0.0125496	+	0.0386236i
$262$	−5.24789	+	30.1003i	−0.324215	+	1.85960i
$263$	−2.31659	+	1.33749i	−0.142847	+	0.0824729i	−0.569720	−	0.821839i	$-0.692948\pi$
$263$	−2.31659	+	1.33749i	−0.142847	+	0.0824729i	0.426873	+	0.904312i	$0.359615\pi$
$264$	−15.8710	−	2.22238i	−0.976793	−	0.136778i
$265$	−21.6306	+	21.6306i	−1.32875	+	1.32875i
$266$	−1.02977	−	2.81244i	−0.0631391	−	0.172442i
$267$	24.5171	+	1.28489i	1.50042	+	0.0786337i
$268$	−8.01768	+	11.5446i	−0.489758	+	0.705199i
$269$	1.38063	+	13.1358i	0.0841786	+	0.800906i	0.952425	+	0.304773i	$0.0985805\pi$
$269$	1.38063	+	13.1358i	0.0841786	+	0.800906i	−0.868246	+	0.496133i	$0.834753\pi$
$270$	−28.8601	+	8.88409i	−1.75637	+	0.540668i
$271$	0.0140584	+	0.268250i	0.000853987	+	0.0162950i	0.999023	−	0.0441867i	$-0.0140696\pi$
$271$	0.0140584	+	0.268250i	0.000853987	+	0.0162950i	−0.998169	+	0.0604817i	$0.980736\pi$
$272$	−19.1487	−	12.7030i	−1.16106	−	0.770230i
$273$	3.75333	+	5.16824i	0.227162	+	0.312796i
$274$	−2.64508	+	2.30827i	−0.159795	+	0.139448i
$275$	5.48355	−	37.5818i	0.330671	−	2.26627i
$276$	−6.75429	+	2.75915i	−0.406560	+	0.166081i
$277$	9.11410	+	20.4706i	0.547613	+	1.22996i	0.949355	+	0.314206i	$0.101738\pi$
$277$	9.11410	+	20.4706i	0.547613	+	1.22996i	−0.401742	+	0.915753i	$0.631595\pi$
$278$	3.80875	−	9.47937i	0.228433	−	0.568535i
$279$	−0.180857	−	0.278496i	−0.0108276	−	0.0166731i
$280$	1.17529	−	11.8382i	0.0702371	−	0.707466i
$281$	−16.5443	−	2.62037i	−0.986953	−	0.156318i	−0.357966	−	0.933734i	$-0.616530\pi$
$281$	−16.5443	−	2.62037i	−0.986953	−	0.156318i	−0.628986	+	0.777417i	$0.716530\pi$
$282$	−8.36094	+	4.65557i	−0.497887	+	0.277235i
$283$	27.1100	−	5.76241i	1.61152	−	0.342540i	0.687890	−	0.725815i	$-0.258537\pi$
$283$	27.1100	−	5.76241i	1.61152	−	0.342540i	0.923634	+	0.383275i	$0.125204\pi$
$284$	−4.76102	+	2.88567i	−0.282515	+	0.171233i
$285$			14.1513i			0.838253i
$286$	−2.70473	+	16.6938i	−0.159934	+	0.987128i
$287$			3.21128i			0.189556i
$288$	−0.416312	−	0.198121i	−0.0245314	−	0.0116744i
$289$	15.6528	−	3.32710i	0.920750	−	0.195712i
$290$	22.4638	+	40.3427i	1.31912	+	2.36901i
$291$	12.0893	+	1.91476i	0.708687	+	0.112245i
$292$	1.46673	−	1.37832i	0.0858336	−	0.0806600i
$293$	9.55638	+	14.7155i	0.558290	+	0.859691i	0.999285	−	0.0378187i	$-0.0120409\pi$
$293$	9.55638	+	14.7155i	0.558290	+	0.859691i	−0.440995	+	0.897510i	$0.645374\pi$
$294$	−13.2819	−	5.33659i	−0.774619	−	0.311236i
$295$	12.9488	+	29.0834i	0.753907	+	1.69330i
$296$	−12.1486	−	6.10209i	−0.706125	−	0.354677i
$297$	12.1945	−	12.4955i	0.707596	−	0.725064i
$298$	−4.27799	−	4.90221i	−0.247817	−	0.283977i
$299$	2.75773	+	7.18852i	0.159484	+	0.415723i
$300$	−17.0164	+	35.2318i	−0.982444	+	2.03411i
$301$	0.459097	+	8.76010i	0.0264619	+	0.504924i
$302$	−6.79452	−	22.0721i	−0.390981	−	1.27011i
$303$	−1.10487	−	10.5121i	−0.0634731	−	0.603906i
$304$	−5.52527	+	6.01719i	−0.316896	+	0.345110i
$305$	−4.76105	−	0.249516i	−0.272617	−	0.0142872i
$306$	0.621788	−	0.227666i	0.0355453	−	0.0130148i
$307$	12.8917	−	12.8917i	0.735768	−	0.735768i	−0.235988	−	0.971756i	$-0.575833\pi$
$307$	12.8917	−	12.8917i	0.735768	−	0.735768i	0.971756	+	0.235988i	$0.0758327\pi$
$308$	2.67867	+	6.33552i	0.152631	+	0.361000i
$309$	−22.9692	+	13.2613i	−1.30667	+	0.754408i
$310$	−23.0233	−	4.01403i	−1.30763	−	0.227982i
$311$	2.14060	−	6.58808i	0.121382	−	0.373576i	−0.871842	−	0.489787i	$-0.837075\pi$
$311$	2.14060	−	6.58808i	0.121382	−	0.373576i	0.993225	+	0.116210i	$0.0370747\pi$
$312$	7.82297	−	15.5668i	0.442888	−	0.881296i
$313$	13.5325	−	9.83194i	0.764902	−	0.555734i	−0.135508	−	0.990776i	$-0.543267\pi$
$313$	13.5325	−	9.83194i	0.764902	−	0.555734i	0.900410	+	0.435042i	$0.143267\pi$
$314$	−4.21212	+	7.95869i	−0.237703	+	0.449135i
$315$	0.254751	+	0.229379i	0.0143536	+	0.0129240i
$316$	26.4167	−	17.9664i	1.48606	−	1.01069i
$317$	29.7976	−	4.71947i	1.67360	−	0.265072i	0.753698	−	0.657221i	$-0.228268\pi$
$317$	29.7976	−	4.71947i	1.67360	−	0.265072i	0.919902	+	0.392149i	$0.128268\pi$
$318$	−10.1601	+	15.1256i	−0.569751	+	0.848202i
$319$	−22.5670	−	14.2671i	−1.26351	−	0.798804i
$320$	−30.1569	+	11.9768i	−1.68582	+	0.669525i
$321$	8.99174	−	4.00338i	0.501870	−	0.223447i
$322$	2.50462	+	1.87983i	0.139577	+	0.104759i
$323$	−0.614032	−	11.7164i	−0.0341656	−	0.651919i
$324$	−15.4179	+	8.27398i	−0.856548	+	0.459666i
$325$	36.7843	+	18.7520i	2.04043	+	1.04018i
$326$	16.7873	−	28.0607i	0.929761	−	1.55414i
$327$	1.15866	+	0.752443i	0.0640741	+	0.0416102i
$328$	7.78127	−	4.02142i	0.429649	−	0.222046i
$329$	3.55717	+	2.05373i	0.196113	+	0.113226i
$330$	−1.59255	−	32.4616i	−0.0876668	−	1.78695i
$331$	17.7125	−	4.74606i	0.973568	−	0.260867i	0.263235	−	0.964732i	$-0.415211\pi$
$331$	17.7125	−	4.74606i	0.973568	−	0.260867i	0.710334	+	0.703865i	$0.248544\pi$
$332$	−22.0661	−	12.1208i	−1.21103	−	0.665217i
$333$	0.349051	−	0.177850i	0.0191279	−	0.00974614i
$334$	−5.58408	−	10.0284i	−0.305547	−	0.548732i
$335$	−26.0406	−	11.5940i	−1.42275	−	0.633449i
$336$	−0.671831	−	7.05420i	−0.0366514	−	0.384838i
$337$	−0.0594884	+	0.0193290i	−0.00324054	+	0.00105292i	−0.310637	−	0.950529i	$-0.600542\pi$
$337$	−0.0594884	+	0.0193290i	−0.00324054	+	0.00105292i	0.307396	+	0.951582i	$0.400542\pi$
$338$	−16.2458	−	8.60658i	−0.883656	−	0.468136i
$339$	6.45774	−	8.88831i	0.350736	−	0.482747i
$340$	18.0438	−	42.9669i	0.978564	−	2.33021i
$341$	12.7997	−	4.33211i	0.693144	−	0.234597i
$342$	−0.0453603	−	0.230988i	−0.00245280	−	0.0124904i
$343$	2.09663	+	13.2376i	0.113207	+	0.714762i
$344$	20.6517	−	12.0825i	1.11347	−	0.651446i
$345$	−8.05881	−	12.4095i	−0.433872	−	0.668104i
$346$	−19.4778	+	12.2232i	−1.04713	+	0.657121i
$347$	14.9764	−	1.57408i	0.803975	−	0.0845012i	0.306378	−	0.951910i	$-0.400883\pi$
$347$	14.9764	−	1.57408i	0.803975	−	0.0845012i	0.497596	+	0.867409i	$0.334216\pi$
$348$	17.7604	+	21.0016i	0.952056	+	1.12580i
$349$	−0.715314	−	0.464531i	−0.0382899	−	0.0248658i	0.525352	−	0.850885i	$-0.323934\pi$
$349$	−0.715314	−	0.464531i	−0.0382899	−	0.0248658i	−0.563642	+	0.826019i	$0.690600\pi$
$350$	16.7267	−	1.49579i	0.894079	−	0.0799531i
$351$	8.61363	+	16.9138i	0.459761	+	0.902789i
$352$	11.9972	−	14.4245i	0.639452	−	0.768831i
$353$	−2.70538	−	0.724904i	−0.143993	−	0.0385828i	0.186103	−	0.982530i	$-0.440414\pi$
$353$	−2.70538	−	0.724904i	−0.143993	−	0.0385828i	−0.330095	+	0.943948i	$0.607081\pi$
$354$	10.9066	+	15.5128i	0.579681	+	0.824493i
$355$	−7.55480	−	8.39046i	−0.400967	−	0.445319i
$356$	−16.3950	+	23.6071i	−0.868936	+	1.25117i
$357$	7.90905	+	6.40462i	0.418591	+	0.338969i
$358$	1.28732	−	0.0474307i	0.0680367	−	0.00250679i
$359$	1.53499	+	0.782115i	0.0810136	+	0.0412785i	0.494028	−	0.869446i	$-0.335524\pi$
$359$	1.53499	+	0.782115i	0.0810136	+	0.0412785i	−0.413014	+	0.910725i	$0.635524\pi$
$360$	0.236790	−	0.904535i	0.0124799	−	0.0476732i
$361$	14.7478	+	1.55006i	0.776201	+	0.0815820i
$362$	7.63545	+	15.5790i	0.401310	+	0.818812i
$363$	9.78999	+	16.0404i	0.513841	+	0.841902i
$364$	−7.45758	+	0.548756i	−0.390884	+	0.0287626i
$365$	3.30226	+	2.39923i	0.172848	+	0.125582i
$366$	−2.81143	+	0.400631i	−0.146956	+	0.0209413i
$367$	−0.779979	−	0.702296i	−0.0407146	−	0.0366596i	0.648522	−	0.761196i	$-0.275387\pi$
$367$	−0.779979	−	0.702296i	−0.0407146	−	0.0366596i	−0.689237	+	0.724536i	$0.742054\pi$
$368$	1.41855	−	8.42304i	0.0739470	−	0.439081i
$369$	−0.0394834	+	0.249288i	−0.00205542	+	0.0129774i
$370$	7.54862	−	26.5174i	0.392434	−	1.37857i
$371$	7.81008	+	0.409309i	0.405479	+	0.0212503i
$372$	−13.9176	+	0.296436i	−0.721596	+	0.0153695i
$373$	−12.3695	+	21.4246i	−0.640468	+	1.10932i	0.344861	+	0.938654i	$0.387926\pi$
$373$	−12.3695	+	21.4246i	−0.640468	+	1.10932i	−0.985328	+	0.170669i	$0.945407\pi$
$374$	2.72705	+	26.8070i	0.141012	+	1.38616i
$375$	−43.1790	−	11.5698i	−2.22975	−	0.597460i
$376$	0.521842	−	11.1912i	0.0269119	−	0.577144i
$377$	22.5601	−	18.2611i	1.16190	−	0.940496i
$378$	6.62510	+	3.96345i	0.340758	+	0.203858i
$379$	11.2886	+	29.4079i	0.579858	+	1.51058i	0.838663	+	0.544651i	$0.183338\pi$
$379$	11.2886	+	29.4079i	0.579858	+	1.51058i	−0.258805	+	0.965930i	$0.583329\pi$
$380$	−14.0834	−	8.72520i	−0.722462	−	0.447593i
$381$	−1.50211	+	7.06687i	−0.0769554	+	0.362047i
$382$	−10.9558	+	27.2672i	−0.560546	+	1.39511i
$383$	−13.7371	−	5.27319i	−0.701934	−	0.269447i	−0.0188870	−	0.999822i	$-0.506012\pi$
$383$	−13.7371	−	5.27319i	−0.701934	−	0.269447i	−0.683047	+	0.730374i	$0.739346\pi$
$384$	−16.2518	+	10.4617i	−0.829344	+	0.533874i
$385$	−11.6057	+	7.73964i	−0.591483	+	0.394448i
$386$	3.47909	+	17.7166i	0.177081	+	0.901750i
$387$	−0.0720682	+	0.685683i	−0.00366343	+	0.0348552i
$388$	−9.35938	+	10.8507i	−0.475150	+	0.550859i
$389$	−34.8404	+	11.3203i	−1.76648	+	0.573964i	−0.997838	−	0.0657163i	$-0.979067\pi$
$389$	−34.8404	+	11.3203i	−1.76648	+	0.573964i	−0.768641	+	0.639680i	$0.779067\pi$
$390$	33.9798	+	9.68046i	1.72064	+	0.490189i
$391$	7.21064	+	9.92460i	0.364658	+	0.501908i
$392$	13.5001	−	9.92781i	0.681859	−	0.501430i
$393$	−36.1029	+	7.67391i	−1.82115	+	0.387098i
$394$	−17.1877	−	7.97461i	−0.865906	−	0.401755i
$395$	45.8132	+	45.8132i	2.30511	+	2.30511i
$396$	0.130046	+	0.524755i	0.00653505	+	0.0263699i
$397$	9.97766	−	2.67351i	0.500765	−	0.134179i	0.000409759	−	1.00000i	$-0.499870\pi$
$397$	9.97766	−	2.67351i	0.500765	−	0.134179i	0.500355	+	0.865820i	$0.333203\pi$
$398$	2.46422	−	2.94823i	0.123520	−	0.147782i
$399$	2.68868	−	2.42090i	0.134603	−	0.121197i
$400$	−24.5709	−	38.6574i	−1.22855	−	1.93287i
$401$	−1.40575	−	3.66210i	−0.0701997	−	0.182877i	0.893992	−	0.448083i	$-0.147893\pi$
$401$	−1.40575	−	3.66210i	−0.0701997	−	0.182877i	−0.964192	+	0.265207i	$0.914560\pi$
$402$	−16.5513	−	3.78768i	−0.825502	−	0.188912i
$403$	−0.00300669	+	14.6901i	−0.000149774	+	0.731768i
$404$	11.1429	+	5.38183i	0.554378	+	0.267756i
$405$	−22.3318	−	27.5774i	−1.10967	−	1.37033i
$406$	3.82198	−	11.1695i	0.189682	−	0.554334i
$407$	3.50431	+	15.5517i	0.173702	+	0.770867i
$408$	5.61474	−	27.1848i	0.277971	−	1.34585i
$409$	−2.41392	+	6.28848i	−0.119361	+	0.310946i	−0.980224	−	0.197891i	$-0.936591\pi$
$409$	−2.41392	+	6.28848i	−0.119361	+	0.310946i	0.860863	+	0.508836i	$0.169924\pi$
$410$	10.9631	+	13.9767i	0.541428	+	0.690258i
$411$	−3.77860	−	1.92529i	−0.186385	−	0.0949677i
$412$	0.964386	−	31.0353i	0.0475119	−	1.52900i
$413$	3.31053	−	7.43557i	0.162901	−	0.365881i
$414$	0.171318	+	0.176725i	0.00841984	+	0.00868554i
$415$	15.7775	−	48.5582i	0.774487	−	2.38363i
$416$	10.6687	+	17.3833i	0.523074	+	0.852287i
$417$	12.3408			0.604330
$418$	9.56434	+	0.533281i	0.467807	+	0.0260836i
$419$	−5.55355	+	3.20635i	−0.271309	+	0.156640i	−0.629482	−	0.777015i	$-0.716733\pi$
$419$	−5.55355	+	3.20635i	−0.271309	+	0.156640i	0.358173	+	0.933655i	$0.383400\pi$
$420$	13.7987	−	4.01417i	0.673308	−	0.195871i
$421$	−4.36457	−	8.56595i	−0.212716	−	0.417479i	0.759852	−	0.650096i	$-0.225271\pi$
$421$	−4.36457	−	8.56595i	−0.212716	−	0.417479i	−0.972568	+	0.232617i	$0.925271\pi$
$422$	−13.3457	−	3.79910i	−0.649661	−	0.184937i
$423$	0.250888	+	0.203165i	0.0121986	+	0.00987824i
$424$	−8.78860	−	19.4372i	−0.426812	−	0.943955i
$425$	64.3477	+	13.6775i	3.12132	+	0.663457i
$426$	−5.37877	−	4.03701i	−0.260602	−	0.195594i
$427$	0.767076	+	0.947260i	0.0371214	+	0.0458411i
$428$	−1.55982	+	11.4169i	−0.0753970	+	0.551856i
$429$	−19.9303	+	4.48666i	−0.962242	+	0.216618i
$430$	31.9045	+	36.5598i	1.53857	+	1.76307i
$431$	6.16530	−	4.99256i	0.296972	−	0.240483i	−0.469241	−	0.883070i	$-0.655472\pi$
$431$	6.16530	−	4.99256i	0.296972	−	0.240483i	0.766213	+	0.642587i	$0.222139\pi$
$432$	1.30740	−	21.0167i	0.0629022	−	1.01116i
$433$	0.0652530	−	0.306991i	0.00313586	−	0.0147531i	−0.976552	−	0.215282i	$-0.930933\pi$
$433$	0.0652530	−	0.306991i	0.00313586	−	0.0147531i	0.979688	+	0.200529i	$0.0642662\pi$
$434$	3.17600	+	5.06100i	0.152453	+	0.242936i
$435$	−35.1031	+	43.3487i	−1.68307	+	2.07841i
$436$	−1.46322	+	0.689167i	−0.0700754	+	0.0330051i
$437$	3.88580	−	1.97991i	0.185883	−	0.0947122i
$438$	2.20553	+	1.02330i	0.105384	+	0.0488951i
$439$	2.78687	+	4.82700i	0.133010	+	0.230380i	0.924835	−	0.380367i	$-0.124202\pi$
$439$	2.78687	+	4.82700i	0.133010	+	0.230380i	−0.791826	+	0.610747i	$0.790869\pi$
$440$	33.2876	+	18.4297i	1.58692	+	0.878602i
$441$			0.482879i			0.0229942i
$442$	−28.5532	−	6.54042i	−1.35814	−	0.311096i
$443$	−10.3518	−	3.36349i	−0.491827	−	0.159804i	0.0525945	−	0.998616i	$-0.483251\pi$
$443$	−10.3518	−	3.36349i	−0.491827	−	0.159804i	−0.544422	+	0.838812i	$0.683251\pi$
$444$	1.36845	−	16.3656i	0.0649440	−	0.776677i
$445$	−53.2494	−	23.7082i	−2.52427	−	1.12388i
$446$	−15.4638	−	14.3648i	−0.732234	−	0.680193i
$447$	3.56821	−	7.00300i	0.168770	−	0.331231i
$448$	7.43455	+	3.68076i	0.351249	+	0.173900i
$449$	−37.5766	−	14.4243i	−1.77335	−	0.680725i	−0.998840	−	0.0481626i	$-0.984663\pi$
$449$	−37.5766	−	14.4243i	−1.77335	−	0.680725i	−0.774509	−	0.632562i	$-0.782003\pi$
$450$	1.31687	+	0.0895421i	0.0620777	+	0.00422105i
$451$	−9.43310	−	4.06282i	−0.444187	−	0.191311i
$452$	4.86402	+	11.9069i	0.228784	+	0.560055i
$453$	21.6806	−	17.5566i	1.01864	−	0.824880i
$454$	7.10757	+	16.6553i	0.333575	+	0.781674i
$455$	−3.92198	−	14.6490i	−0.183865	−	0.686757i
$456$	−9.23308	−	3.48332i	−0.432379	−	0.163121i
$457$	16.1161	−	6.18640i	0.753881	−	0.289388i	0.0490817	−	0.998795i	$-0.484371\pi$
$457$	16.1161	−	6.18640i	0.753881	−	0.289388i	0.704799	+	0.709407i	$0.251037\pi$
$458$	−0.147742	+	9.51141i	−0.00690354	+	0.444439i
$459$	20.2361	+	22.4744i	0.944539	+	1.04902i
$460$	17.3186	−	0.368875i	0.807486	−	0.0171989i
$461$	−7.92664	−	29.5826i	−0.369180	−	1.37780i	−0.861664	−	0.507479i	$-0.830578\pi$
$461$	−7.92664	−	29.5826i	−0.369180	−	1.37780i	0.492484	−	0.870322i	$-0.336089\pi$
$462$	−5.89509	+	5.85585i	−0.274264	+	0.272439i
$463$	28.3474	−	28.3474i	1.31741	−	1.31741i	0.401600	−	0.915815i	$-0.368454\pi$
$463$	28.3474	−	28.3474i	1.31741	−	1.31741i	0.915815	−	0.401600i	$-0.131546\pi$
$464$	−31.8511	+	4.72628i	−1.47865	+	0.219412i
$465$	−5.86966	−	27.6146i	−0.272199	−	1.28060i
$466$	18.2682	−	17.7094i	0.846260	−	0.820372i
$467$	−11.7714	+	8.55246i	−0.544718	+	0.395760i	−0.825834	−	0.563913i	$-0.809295\pi$
$467$	−11.7714	+	8.55246i	−0.544718	+	0.395760i	0.281117	+	0.959674i	$0.409295\pi$
$468$	−0.585672	−	0.0490933i	−0.0270727	−	0.00226934i
$469$	2.25202	+	6.93100i	0.103989	+	0.320044i
$470$	22.4934	−	3.20532i	1.03754	−	0.147851i
$471$	−10.8179	−	1.13701i	−0.498463	−	0.0523905i
$472$	−22.1629	+	1.28965i	−1.02013	+	0.0593609i
$473$	−26.3135	−	9.73443i	−1.20990	−	0.447590i
$474$	32.0358	+	21.5190i	1.47145	+	0.988400i
$475$	8.38112	−	21.8336i	0.384552	−	1.00179i
$476$	−11.2503	+	3.92221i	−0.515656	+	0.179774i
$477$	0.601257	+	0.127801i	0.0275296	+	0.00585161i
$478$	17.0387	−	5.24507i	0.779331	−	0.239904i
$479$	−27.7231	+	10.6419i	−1.26670	+	0.486242i	−0.896638	−	0.442764i	$-0.853998\pi$
$479$	−27.7231	+	10.6419i	−1.26670	+	0.486242i	−0.370065	+	0.929006i	$0.620664\pi$
$480$	−27.0066	−	28.4089i	−1.23268	−	1.29668i
$481$	−17.2350	−	1.81504i	−0.785849	−	0.0827587i
$482$	−22.3588	+	1.99944i	−1.01842	+	0.0910721i
$483$	−0.979100	+	3.65405i	−0.0445506	+	0.166265i
$484$	−21.9995	−	0.146946i	−0.999978	−	0.00667938i
$485$	−25.1671	−	14.5302i	−1.14278	−	0.659783i
$486$	0.918822	+	0.767980i	0.0416786	+	0.0348363i
$487$	−1.51915	+	28.9872i	−0.0688394	+	1.31353i	0.717855	+	0.696193i	$0.245124\pi$
$487$	−1.51915	+	28.9872i	−0.0688394	+	1.31353i	−0.786695	+	0.617342i	$0.788209\pi$
$488$	1.33472	−	3.04494i	0.0604198	−	0.137838i
$489$	39.0137	+	6.17916i	1.76426	+	0.279431i
$490$	24.8991	+	23.1295i	1.12483	+	1.04489i
$491$	15.1118	−	16.7833i	0.681984	−	0.757420i	−0.298416	−	0.954436i	$-0.596458\pi$
$491$	15.1118	−	16.7833i	0.681984	−	0.757420i	0.980400	+	0.197016i	$0.0631250\pi$
$492$	8.01205	+	6.91090i	0.361211	+	0.311567i
$493$	27.1823	−	37.4132i	1.22423	−	1.68501i
$494$	−3.88445	+	9.66208i	−0.174770	+	0.434718i
$495$	−0.996102	+	0.458125i	−0.0447714	+	0.0205912i
$496$	8.28609	−	14.0336i	0.372057	−	0.630126i
$497$	−0.301728	+	2.87075i	−0.0135343	+	0.128771i
$498$	3.64833	−	30.1927i	0.163486	−	1.35297i
$499$	−13.1452	+	25.7989i	−0.588459	+	1.15492i	0.384324	+	0.923198i	$0.374435\pi$
$499$	−13.1452	+	25.7989i	−0.588459	+	1.15492i	−0.972783	+	0.231718i	$0.925565\pi$
$500$	38.1368	−	35.8381i	1.70553	−	1.60273i
$501$	8.72599	−	10.7757i	0.389848	−	0.481423i
$502$	24.7058	−	6.21029i	1.10267	−	0.277179i
$503$	−24.1089	+	21.7077i	−1.07496	+	0.967899i	−0.999572	−	0.0292549i	$-0.990687\pi$
$503$	−24.1089	+	21.7077i	−1.07496	+	0.967899i	−0.0753891	+	0.997154i	$0.524020\pi$
$504$	−0.212365	+	0.109752i	−0.00945950	+	0.00488874i
$505$	−6.49521	+	24.2405i	−0.289033	+	1.07869i
$506$	−8.69077	+	4.97899i	−0.386352	+	0.221343i
$507$	2.33048	−	22.0861i	0.103500	−	0.980877i
$508$	−6.10679	−	5.85207i	−0.270945	−	0.259644i
$509$	−10.9360	+	16.8400i	−0.484731	+	0.746420i	−0.993420	−	0.114530i	$-0.963464\pi$
$509$	−10.9360	+	16.8400i	−0.484731	+	0.746420i	0.508689	+	0.860951i	$0.330130\pi$
$510$	56.2880	+	0.874330i	2.49247	+	0.0387160i
$511$	−0.109083	−	1.03786i	−0.00482555	−	0.0459120i
$512$	−0.391264	−	22.6240i	−0.0172916	−	0.999850i
$513$	9.01677	−	5.85556i	0.398100	−	0.258529i
$514$	−1.20158	−	1.53188i	−0.0529994	−	0.0675682i
$515$	62.1951	−	9.85074i	2.74064	−	0.434075i
$516$	22.8442	+	17.7069i	1.00566	+	0.779503i
$517$	−10.5332	+	7.85083i	−0.463252	+	0.345279i
$518$	−6.32953	+	3.10219i	−0.278103	+	0.136302i
$519$	−22.4731	−	16.3277i	−0.986461	−	0.716706i
$520$	−30.5847	+	27.8480i	−1.34123	+	1.22122i
$521$	−2.54706	−	7.83905i	−0.111589	−	0.343435i	0.879632	−	0.475656i	$-0.157789\pi$
$521$	−2.54706	−	7.83905i	−0.111589	−	0.343435i	−0.991220	+	0.132221i	$0.957789\pi$
$522$	0.434029	−	0.820087i	0.0189969	−	0.0358942i
$523$	−0.389919	+	0.875772i	−0.0170500	+	0.0382948i	−0.921870	−	0.387500i	$-0.873339\pi$
$523$	−0.389919	+	0.875772i	−0.0170500	+	0.0382948i	0.904820	+	0.425795i	$0.140005\pi$
$524$	14.6227	−	40.6610i	0.638795	−	1.77628i
$525$	9.20981	+	18.0753i	0.401949	+	0.788870i
$526$	3.55235	−	1.30068i	0.154890	−	0.0567125i
$527$	6.05792	+	22.6085i	0.263887	+	0.984840i
$528$	21.5716	+	6.95127i	0.938785	+	0.302515i
$529$	9.22000	−	15.9695i	0.400870	−	0.694327i
$530$	35.3897	−	24.8816i	1.53723	−	1.08079i
$531$	0.348415	−	0.536512i	0.0151199	−	0.0232827i
$532$	0.751531	+	4.16841i	0.0325830	+	0.180724i
$533$	7.47292	−	8.29610i	0.323688	−	0.359344i
$534$	−33.8450	−	7.74528i	−1.46462	−	0.335171i
$535$	−23.3367	+	1.22302i	−1.00893	+	0.0528759i
$536$	13.9744	−	14.1364i	0.603601	−	0.610600i
$537$	0.632933	+	1.42159i	0.0273131	+	0.0613461i
$538$	1.26719	−	18.6362i	0.0546325	−	0.803462i
$539$	−19.0410	−	4.85399i	−0.820153	−	0.209076i
$540$	42.3658	−	5.36720i	1.82313	−	0.230967i
$541$	5.56869	+	35.1593i	0.239417	+	1.51162i	0.755540	+	0.655103i	$0.227375\pi$
$541$	5.56869	+	35.1593i	0.239417	+	1.51162i	−0.516123	+	0.856514i	$0.672625\pi$
$542$	0.0455716	−	0.377140i	0.00195747	−	0.0161996i
$543$	−14.0237	+	15.5749i	−0.601813	+	0.668381i
$544$	23.5924	+	22.3489i	1.01152	+	0.958203i
$545$	−1.92799	−	2.65365i	−0.0825859	−	0.113670i
$546$	−3.97377	−	8.11206i	−0.170062	−	0.347164i
$547$	−30.7909	−	10.0046i	−1.31652	−	0.427764i	−0.435223	−	0.900323i	$-0.643330\pi$
$547$	−30.7909	−	10.0046i	−1.31652	−	0.427764i	−0.881299	+	0.472559i	$0.843330\pi$
$548$	4.24579	−	2.57339i	0.181371	−	0.109930i
$549$	0.0479006	+	0.0829663i	0.00204435	+	0.00354091i
$550$	−16.7683	+	51.0269i	−0.715001	+	2.17579i
$551$	−11.6251	−	11.6251i	−0.495246	−	0.495246i
$552$	10.0803	−	2.20343i	0.429044	−	0.0937842i
$553$	0.866911	−	16.5416i	0.0368648	−	0.703422i
$554$	−7.72545	−	30.7334i	−0.328223	−	1.30574i
$555$	33.1230	−	3.48137i	1.40599	−	0.147776i
$556$	−7.60887	+	12.2815i	−0.322688	+	0.520852i
$557$	6.13426	−	0.321483i	0.259917	−	0.0136217i	0.0780676	−	0.996948i	$-0.475125\pi$
$557$	6.13426	−	0.321483i	0.259917	−	0.0136217i	0.181849	+	0.983326i	$0.441792\pi$
$558$	0.184324	+	0.431930i	0.00780304	+	0.0182851i
$559$	19.1995	−	23.6994i	0.812050	−	1.00238i
$560$	−4.51290	+	16.2074i	−0.190705	+	0.684889i
$561$	−28.8198	+	15.1298i	−1.21677	+	0.638781i
$562$	22.4131	+	7.66930i	0.945438	+	0.323510i
$563$	10.1585	−	4.52287i	0.428131	−	0.190616i	−0.181347	−	0.983419i	$-0.558046\pi$
$563$	10.1585	−	4.52287i	0.428131	−	0.190616i	0.609478	+	0.792803i	$0.291379\pi$
$564$	12.7793	−	4.45526i	0.538105	−	0.187600i
$565$	−21.8763	+	14.2066i	−0.920343	+	0.597678i
$566$	−39.1693	+	1.44318i	−1.64641	+	0.0606613i
$567$	−1.41923	+	8.96066i	−0.0596020	+	0.376312i
$568$	7.33397	−	2.86386i	0.307727	−	0.120165i
$569$	−1.73143	−	8.14574i	−0.0725854	−	0.341487i	0.926837	−	0.375463i	$-0.122516\pi$
$569$	−1.73143	−	8.14574i	−0.0725854	−	0.341487i	−0.999423	+	0.0339759i	$0.989183\pi$
$570$	3.43735	−	19.7156i	0.143975	−	0.825796i
$571$	−36.4893			−1.52703			−0.763515	−	0.645791i	$-0.776528\pi$
$571$	−36.4893			−1.52703			−0.763515	+	0.645791i	$0.776528\pi$
$572$	7.82315	−	22.6008i	0.327102	−	0.944989i
$573$	−35.4980			−1.48295
$574$	0.780017	−	4.47395i	0.0325573	−	0.186739i
$575$	5.08413	+	23.9189i	0.212023	+	0.997489i
$576$	0.531881	+	0.377143i	0.0221617	+	0.0157143i
$577$	−7.10539	+	44.8617i	−0.295801	+	1.86762i	0.173861	+	0.984770i	$0.444376\pi$
$577$	−7.10539	+	44.8617i	−0.295801	+	1.86762i	−0.469663	+	0.882846i	$0.655624\pi$
$578$	−22.6155	+	0.833261i	−0.940682	+	0.0346591i
$579$	−18.2916	+	11.8787i	−0.760174	+	0.493663i
$580$	−21.4973	−	61.6618i	−0.892625	−	2.56037i
$581$	−11.9249	+	5.30931i	−0.494728	+	0.220267i
$582$	−16.3777	−	5.60411i	−0.678877	−	0.232298i
$583$	−11.0834	+	22.4242i	−0.459029	+	0.928715i
$584$	−2.37823	+	1.56400i	−0.0984119	+	0.0647190i
$585$	−0.124346	−	1.18541i	−0.00514109	−	0.0490107i
$586$	−9.73954	−	22.8229i	−0.402337	−	0.942805i
$587$	2.44772	−	0.128280i	0.101028	−	0.00529467i	−0.00175477	−	0.999998i	$-0.500559\pi$
$587$	2.44772	−	0.128280i	0.101028	−	0.00529467i	0.102783	+	0.994704i	$0.467225\pi$
$588$	17.2081	+	10.6611i	0.709651	+	0.439656i
$589$	8.27535	−	0.869774i	0.340980	−	0.0358384i
$590$	−10.9759	−	43.6642i	−0.451869	−	1.79763i
$591$	1.19790	−	22.8572i	0.0492749	−	0.940222i
$592$	15.4433	+	11.4523i	0.634714	+	0.470687i
$593$	5.43651	+	5.43651i	0.223251	+	0.223251i	0.809866	−	0.586615i	$-0.199540\pi$
$593$	5.43651	+	5.43651i	0.223251	+	0.223251i	−0.586615	+	0.809866i	$0.699540\pi$
$594$	−20.0245	+	14.4467i	−0.821614	+	0.592756i
$595$	−12.0813	−	20.9254i	−0.495284	−	0.857856i
$596$	4.76934	+	7.86887i	0.195360	+	0.322321i
$597$	4.41449	+	1.43435i	0.180673	+	0.0587042i
$598$	−2.09597	−	10.6849i	−0.0857107	−	0.436937i
$599$	0.984746	+	1.35539i	0.0402356	+	0.0553796i	0.828661	−	0.559751i	$-0.189103\pi$
$599$	0.984746	+	1.35539i	0.0402356	+	0.0553796i	−0.788425	+	0.615131i	$0.789103\pi$
$600$	32.2650	−	44.9516i	1.31721	−	1.83514i
$601$	24.8238	−	27.5696i	1.01258	−	1.12459i	0.0204002	−	0.999792i	$-0.493506\pi$
$601$	24.8238	−	27.5696i	1.01258	−	1.12459i	0.992183	−	0.124795i	$-0.0398274\pi$
$602$	1.48821	−	12.3161i	0.0606548	−	0.501965i
$603$	0.0896037	+	0.565736i	0.00364895	+	0.0230385i
$604$	4.10481	+	32.4012i	0.167022	+	1.31839i
$605$	−8.05188	−	43.8837i	−0.327356	−	1.78412i
$606$	−1.01409	+	14.9139i	−0.0411944	+	0.605834i
$607$	−4.40873	−	9.90218i	−0.178945	−	0.401917i	0.801696	−	0.597732i	$-0.203931\pi$
$607$	−4.40873	−	9.90218i	−0.178945	−	0.401917i	−0.980641	+	0.195815i	$0.937265\pi$
$608$	9.15937	−	7.04105i	0.371462	−	0.285552i
$609$	14.2412	−	0.746350i	0.577083	−	0.0302436i
$610$	6.57247	+	1.50408i	0.266112	+	0.0608984i
$611$	−4.41047	−	13.5835i	−0.178429	−	0.549530i
$612$	−0.921574	+	0.166152i	−0.0372524	+	0.00671631i
$613$	−11.7197	+	18.0468i	−0.473356	+	0.728904i	−0.992021	−	0.126074i	$-0.959762\pi$
$613$	−11.7197	+	18.0468i	−0.473356	+	0.728904i	0.518665	+	0.854977i	$0.326429\pi$
$614$	−21.0921	+	14.8293i	−0.851206	+	0.598462i
$615$	−10.7290	+	18.5832i	−0.432635	+	0.749346i
$616$	−2.19303	−	9.47728i	−0.0883595	−	0.381851i
$617$	−10.5596	−	39.4089i	−0.425113	−	1.58654i	−0.763676	−	0.645599i	$-0.776608\pi$
$617$	−10.5596	−	39.4089i	−0.425113	−	1.58654i	0.338563	−	0.940944i	$-0.390059\pi$
$618$	35.2218	−	12.8964i	1.41683	−	0.518769i
$619$	−11.0295	−	21.6466i	−0.443312	−	0.870049i	−0.999246	−	0.0388228i	$-0.987639\pi$
$619$	−11.0295	−	21.6466i	−0.443312	−	0.870049i	0.555934	−	0.831227i	$-0.312361\pi$
$620$	31.1010	+	11.1847i	1.24905	+	0.449187i
$621$	−4.57233	+	10.2696i	−0.183481	+	0.412106i
$622$	−4.58252	+	8.65856i	−0.183742	+	0.347176i
$623$	4.60507	+	14.1729i	0.184498	+	0.567827i
$624$	−14.6801	+	19.7874i	−0.587674	+	0.792131i
$625$	39.5416	+	28.7286i	1.58166	+	1.14915i
$626$	−21.2416	+	10.4108i	−0.848986	+	0.416099i
$627$	3.70973	+	10.9608i	0.148152	+	0.437734i
$628$	7.80147	−	10.0649i	0.311313	−	0.401634i
$629$	−27.2727	+	4.31957i	−1.08743	+	0.172233i
$630$	−0.299203	−	0.381449i	−0.0119205	−	0.0151973i
$631$	32.9640	−	21.4071i	1.31228	−	0.852203i	0.316920	−	0.948452i	$-0.397351\pi$
$631$	32.9640	−	21.4071i	1.31228	−	0.852203i	0.995357	+	0.0962494i	$0.0306846\pi$
$632$	−41.1678	+	18.6141i	−1.63757	+	0.740431i
$633$	−1.75211	−	16.6702i	−0.0696402	−	0.662583i
$634$	−42.6603	−	0.662649i	−1.69426	−	0.0263172i
$635$	9.34227	−	14.3858i	0.370737	−	0.570884i
$636$	17.8291	−	18.6051i	0.706968	−	0.737739i
$637$	11.6381	−	17.9131i	0.461118	−	0.709742i
$638$	27.9749	+	25.3584i	1.10754	+	1.00395i
$639$	−0.0587194	+	0.219144i	−0.00232290	+	0.00866919i
$640$	44.9237	−	9.36101i	1.77577	−	0.370026i
$641$	5.20312	−	4.68491i	0.205511	−	0.185043i	−0.559948	−	0.828528i	$-0.689179\pi$
$641$	5.20312	−	4.68491i	0.205511	−	0.185043i	0.765459	+	0.643485i	$0.222512\pi$
$642$	−13.4997	+	3.39341i	−0.532790	+	0.133927i
$643$	−22.2253	+	27.4459i	−0.876479	+	1.08236i	0.119506	+	0.992834i	$0.461869\pi$
$643$	−22.2253	+	27.4459i	−0.876479	+	1.08236i	−0.995984	+	0.0895276i	$0.971464\pi$
$644$	−3.03282	−	3.22735i	−0.119510	−	0.127175i
$645$	−26.6111	+	52.2272i	−1.04781	+	2.05644i
$646$	−1.99044	+	16.4724i	−0.0783129	+	0.648100i
$647$	1.09558	−	10.4237i	0.0430716	−	0.409799i	−0.951650	−	0.307185i	$-0.900613\pi$
$647$	1.09558	−	10.4237i	0.0430716	−	0.409799i	0.994721	−	0.102613i	$-0.0327205\pi$
$648$	23.4899	−	7.78230i	0.922770	−	0.305718i
$649$	17.6535	+	19.1319i	0.692962	+	0.750993i
$650$	−46.6930	−	35.0602i	−1.83145	−	1.37517i
$651$	−4.24250	+	5.83930i	−0.166277	+	0.228860i
$652$	−30.2039	+	35.0165i	−1.18288	+	1.37135i
$653$	−6.96271	+	7.73288i	−0.272472	+	0.302611i	−0.863815	−	0.503809i	$-0.831931\pi$
$653$	−6.96271	+	7.73288i	−0.272472	+	0.302611i	0.591343	+	0.806420i	$0.298598\pi$
$654$	−1.43148	−	1.32974i	−0.0559751	−	0.0519969i
$655$	86.5523	+	13.7085i	3.38188	+	0.535637i
$656$	−11.8176	+	3.71257i	−0.461402	+	0.144951i
$657$	0.00429266	−	0.0819089i	0.000167473	−	0.00319557i
$658$	−4.45699	−	3.72529i	−0.173752	−	0.145227i
$659$	9.26129	+	5.34701i	0.360769	+	0.208290i	0.669418	−	0.742886i	$-0.266544\pi$
$659$	9.26129	+	5.34701i	0.360769	+	0.208290i	−0.308649	+	0.951176i	$0.599877\pi$
$660$	−5.66615	+	45.6122i	−0.220555	+	1.77545i
$661$	−4.66048	+	17.3932i	−0.181272	+	0.676515i	0.814126	+	0.580688i	$0.197216\pi$
$661$	−4.66048	+	17.3932i	−0.181272	+	0.676515i	−0.995398	+	0.0958273i	$0.969450\pi$
$662$	−25.8299	+	2.30984i	−1.00391	+	0.0897744i
$663$	−5.52835	−	34.9509i	−0.214703	−	1.35738i
$664$	27.7983	+	22.2465i	1.07878	+	0.863334i
$665$	−8.01934	+	3.07834i	−0.310977	+	0.119373i
$666$	−0.529497	+	0.162997i	−0.0205176	+	0.00631599i
$667$	16.8144	+	3.57400i	0.651055	+	0.138386i
$668$	5.34382	+	15.3280i	0.206759	+	0.593057i
$669$	9.13707	−	23.8029i	0.353259	−	0.920272i
$670$	33.4635	+	22.4780i	1.29281	+	0.868401i
$671$	−3.75305	+	1.05483i	−0.144885	+	0.0407214i
$672$	−0.777467	+	9.99109i	−0.0299914	+	0.385415i
$673$	−25.0875	−	2.63681i	−0.967054	−	0.101641i	−0.392184	−	0.919887i	$-0.628280\pi$
$673$	−25.0875	−	2.63681i	−0.967054	−	0.101641i	−0.574869	+	0.818245i	$0.694947\pi$
$674$	0.0875741	−	0.0124794i	0.00337323	−	0.000480688i
$675$	18.6286	+	57.3329i	0.717015	+	2.20674i
$676$	20.5431	+	15.9368i	0.790120	+	0.612952i
$677$	−10.1442	+	7.37022i	−0.389875	+	0.283261i	−0.765404	−	0.643550i	$-0.777461\pi$
$677$	−10.1442	+	7.37022i	−0.389875	+	0.283261i	0.375529	+	0.926810i	$0.377461\pi$
$678$	−11.1559	+	10.8146i	−0.428439	+	0.415332i
$679$	1.54472	+	7.26733i	0.0592809	+	0.278895i
$680$	−35.5752	+	55.4786i	−1.36425	+	2.12751i
$681$	−15.4679	+	15.4679i	−0.592733	+	0.592733i
$682$	−18.8848	+	2.92644i	−0.723137	+	0.112059i
$683$	2.77851	+	10.3695i	0.106317	+	0.396779i	0.998491	−	0.0549117i	$-0.0174877\pi$
$683$	2.77851	+	10.3695i	0.106317	+	0.396779i	−0.892175	+	0.451691i	$0.850821\pi$
$684$	0.00708904	+	0.332830i	0.000271056	+	0.0127261i
$685$	6.73723	+	7.48245i	0.257416	+	0.285890i
$686$	0.294382	−	18.9518i	0.0112396	−	0.723585i
$687$	−10.7279	+	4.11804i	−0.409294	+	0.157113i
$688$	−31.7068	+	11.8171i	−1.20881	+	0.450522i
$689$	−19.2243	−	19.2321i	−0.732387	−	0.732686i
$690$	8.21326	+	19.2463i	0.312674	+	0.732695i
$691$	−25.1076	+	20.3318i	−0.955140	+	0.773457i	−0.974043	−	0.226365i	$-0.927316\pi$
$691$	−25.1076	+	20.3318i	−0.955140	+	0.773457i	0.0189031	+	0.999821i	$0.493983\pi$
$692$	30.1054	−	12.2982i	1.14444	−	0.467506i
$693$	0.257447	+	0.110882i	0.00977960	+	0.00421205i
$694$	−21.2474	−	1.44475i	−0.806541	−	0.0548418i
$695$	−27.3536	−	10.5001i	−1.03758	−	0.398290i
$696$	−19.6425	−	33.5733i	−0.744545	−	1.27259i
$697$	8.07661	−	15.8512i	0.305923	−	0.600408i
$698$	0.883740	+	0.820932i	0.0334501	+	0.0310727i
$699$	28.0779	+	12.5011i	1.06200	+	0.472835i
$700$	−23.6669	−	1.97897i	−0.894525	−	0.0747982i
$701$	−1.63482	−	0.531184i	−0.0617461	−	0.0200625i	0.277981	−	0.960587i	$-0.410335\pi$
$701$	−1.63482	−	0.531184i	−0.0617461	−	0.0200625i	−0.339727	+	0.940524i	$0.610335\pi$
$702$	−7.89215	−	25.6565i	−0.297870	−	0.968340i
$703$			9.81641i			0.370233i
$704$	−20.2182	+	17.1821i	−0.762001	+	0.647576i
$705$	13.7232	+	23.7692i	0.516845	+	0.895202i
$706$	3.59305	+	1.66707i	0.135226	+	0.0627410i
$707$	5.71672	−	2.91281i	0.214999	−	0.109548i
$708$	−11.4271	−	24.2615i	−0.429455	−	0.911805i
$709$	−8.98528	+	11.0959i	−0.337449	+	0.416715i	−0.917419	−	0.397923i	$-0.869731\pi$
$709$	−8.98528	+	11.0959i	−0.337449	+	0.416715i	0.579970	+	0.814638i	$0.303064\pi$
$710$	8.48730	+	13.5246i	0.318523	+	0.507570i
$711$	0.270681	−	1.27345i	0.0101513	−	0.0477582i
$712$	28.5757	−	28.9070i	1.07092	−	1.08334i
$713$	−6.76144	+	5.47530i	−0.253218	+	0.205052i
$714$	−9.46319	−	10.8440i	−0.354151	−	0.405827i
$715$	47.9933	+	7.01273i	1.79485	+	0.262261i
$716$	−1.80501	−	0.246608i	−0.0674562	−	0.00921616i
$717$	13.5529	+	16.7364i	0.506142	+	0.625033i
$718$	−1.94857	−	1.46249i	−0.0727199	−	0.0545796i
$719$	35.1860	+	7.47901i	1.31221	+	0.278920i	0.810309	−	0.586003i	$-0.199299\pi$
$719$	35.1860	+	7.47901i	1.31221	+	0.278920i	0.501906	+	0.864922i	$0.332633\pi$
$720$	−0.549606	+	1.20268i	−0.0204826	+	0.0448212i
$721$	−12.5114	−	10.1316i	−0.465951	−	0.377319i
$722$	−20.1701	−	5.74177i	−0.750654	−	0.213686i
$723$	−12.3109	−	24.1615i	−0.457848	−	0.898577i
$724$	−6.85358	−	23.5592i	−0.254711	−	0.875571i
$725$	79.8326	−	46.0913i	2.96491	−	1.71179i
$726$	−9.74320	−	24.7254i	−0.361604	−	0.917646i
$727$	19.7594			0.732834			0.366417	−	0.930451i	$-0.380584\pi$
$727$	19.7594			0.732834			0.366417	+	0.930451i	$0.380584\pi$
$728$	10.5232	+	1.04692i	0.390015	+	0.0388013i
$729$	−8.55765	+	26.3377i	−0.316950	+	0.975471i
$730$	−4.01793	−	4.14472i	−0.148710	−	0.153403i
$731$	19.7662	−	44.3955i	0.731077	−	1.64203i
$732$	4.01419	+	0.124736i	0.148369	+	0.00461038i
$733$	−0.821439	−	0.418544i	−0.0303406	−	0.0154593i	0.438754	−	0.898607i	$-0.355420\pi$
$733$	−0.821439	−	0.418544i	−0.0303406	−	0.0154593i	−0.469095	+	0.883148i	$0.655420\pi$
$734$	0.916078	+	1.16789i	0.0338131	+	0.0431078i
$735$	−14.7121	+	38.3263i	−0.542663	+	1.41369i
$736$	−4.02227	+	11.3904i	−0.148263	+	0.419856i
$737$	−23.2089	−	2.15362i	−0.854912	−	0.0793294i
$738$	0.115560	−	0.337718i	0.00425383	−	0.0124316i
$739$	7.79593	+	9.62717i	0.286778	+	0.354141i	0.900094	−	0.435697i	$-0.143498\pi$
$739$	7.79593	+	9.62717i	0.286778	+	0.354141i	−0.613316	+	0.789838i	$0.710165\pi$
$740$	−16.9578	+	35.1104i	−0.623380	+	1.29068i
$741$	−12.5797	−	0.00257473i	−0.462125	−	9.45850e-5i
$742$	−10.7816	−	2.46731i	−0.395804	−	0.0905779i
$743$	−2.03844	−	5.31032i	−0.0747831	−	0.194817i	0.891093	−	0.453820i	$-0.149939\pi$
$743$	−2.03844	−	5.31032i	−0.0747831	−	0.194817i	−0.965876	+	0.259004i	$0.916606\pi$
$744$	19.4620	+	2.96759i	0.713512	+	0.108797i
$745$	−13.8675	+	12.4863i	−0.508065	+	0.457464i
$746$	22.4372	−	26.8441i	0.821482	−	0.982834i
$747$	−0.990997	+	0.265537i	−0.0362587	+	0.00971549i
$748$	2.71209	−	38.0099i	0.0991638	−	1.38978i
$749$	4.22462	+	4.22462i	0.154364	+	0.154364i
$750$	57.3465	+	26.6071i	2.09400	+	0.971554i
$751$	25.0027	−	5.31448i	0.912361	−	0.193928i	0.272264	−	0.962223i	$-0.412228\pi$
$751$	25.0027	−	5.31448i	0.912361	−	0.193928i	0.640097	+	0.768294i	$0.278894\pi$
$752$	−3.44537	+	15.4649i	−0.125640	+	0.563945i
$753$	18.0879	+	24.8958i	0.659158	+	0.907253i
$754$	−35.8662	+	19.9615i	−1.30617	+	0.726957i
$755$	−62.9934	+	20.4678i	−2.29256	+	0.744899i
$756$	−8.26735	−	7.13110i	−0.300681	−	0.259356i
$757$	0.859066	−	8.17346i	0.0312233	−	0.297070i	−0.967756	−	0.251891i	$-0.918948\pi$
$757$	0.859066	−	8.17346i	0.0312233	−	0.297070i	0.998979	−	0.0451787i	$-0.0143857\pi$
$758$	−8.58414	−	43.7130i	−0.311790	−	1.58773i
$759$	−9.49501	−	7.49909i	−0.344647	−	0.272200i
$760$	17.5016	+	15.5768i	0.634849	+	0.565029i
$761$	47.6318	+	18.2841i	1.72665	+	0.662800i	0.999714	−	0.0239030i	$-0.00760929\pi$
$761$	47.6318	+	18.2841i	1.72665	+	0.662800i	0.726938	+	0.686703i	$0.240943\pi$
$762$	3.80927	−	9.48069i	0.137995	−	0.343449i
$763$	−0.174354	+	0.820273i	−0.00631205	+	0.0296959i
$764$	21.8868	−	35.3275i	0.791835	−	1.27810i
$765$	−0.680575	−	1.77296i	−0.0246062	−	0.0641014i
$766$	17.8577	+	10.6833i	0.645224	+	0.386004i
$767$	−25.8557	+	11.5054i	−0.933596	+	0.415435i
$768$	25.1831	−	10.6277i	0.908715	−	0.383496i
$769$	−6.14259	−	1.64590i	−0.221507	−	0.0593527i	0.146358	−	0.989232i	$-0.453245\pi$
$769$	−6.14259	−	1.64590i	−0.221507	−	0.0593527i	−0.367866	+	0.929879i	$0.619911\pi$
$770$	18.0490	−	7.96382i	0.650442	−	0.286996i
$771$	1.17592	−	2.03676i	0.0423499	−	0.0733522i
$772$	−0.543723	−	25.5278i	−0.0195690	−	0.918764i
$773$	−33.4121	−	1.75105i	−1.20175	−	0.0629810i	−0.559072	−	0.829119i	$-0.688843\pi$
$773$	−33.4121	−	1.75105i	−1.20175	−	0.0629810i	−0.642676	+	0.766138i	$0.722176\pi$
$774$	0.266957	−	0.937786i	0.00959557	−	0.0337080i
$775$	−7.29864	+	46.0818i	−0.262175	+	1.65531i
$776$	15.6751	−	12.8437i	0.562703	−	0.461063i
$777$	−6.32786	−	5.69763i	−0.227011	−	0.204402i
$778$	51.2893	−	7.30876i	1.83881	−	0.262032i
$779$	−5.11663	−	3.71745i	−0.183322	−	0.133192i
$780$	−44.9893	−	21.7405i	−1.61087	−	0.778434i
$781$	−8.05106	−	4.51831i	−0.288090	−	0.161678i
$782$	−7.63517	−	15.5784i	−0.273033	−	0.557082i
$783$	42.1454	+	4.42966i	1.50616	+	0.158303i
$784$	−21.2198	+	10.5522i	−0.757850	+	0.376865i
$785$	23.0107	+	11.7245i	0.821288	+	0.418467i
$786$	52.1625	−	1.92191i	1.86057	−	0.0685522i
$787$	6.82576	+	5.52739i	0.243312	+	0.197030i	0.743218	−	0.669050i	$-0.233299\pi$
$787$	6.82576	+	5.52739i	0.243312	+	0.197030i	−0.499906	+	0.866080i	$0.666632\pi$
$788$	22.0089	+	15.2851i	0.784034	+	0.544509i
$789$	3.05781	+	3.39604i	0.108861	+	0.120902i
$790$	−52.6989	−	74.9548i	−1.87494	−	2.66677i
$791$	6.44162	+	1.72603i	0.229038	+	0.0613704i
$792$	−0.0537170	−	0.762676i	−0.00190875	−	0.0271005i
$793$	0.222670	−	4.23223i	0.00790725	−	0.150291i
$794$	−14.5503	+	1.30116i	−0.516369	+	0.0461763i
$795$	43.8282	+	28.4624i	1.55443	+	1.00946i
$796$	−4.14928	+	3.50891i	−0.147067	+	0.124370i
$797$	−21.9164	+	2.30350i	−0.776318	+	0.0815943i	−0.484397	−	0.874848i	$-0.660961\pi$
$797$	−21.9164	+	2.30350i	−0.776318	+	0.0815943i	−0.291921	+	0.956442i	$0.594294\pi$
$798$	−4.33390	+	2.71972i	−0.153419	+	0.0962769i
$799$	−12.3933	−	19.0840i	−0.438443	−	0.675143i
$800$	24.8423	+	59.8256i	0.878308	+	2.11516i
$801$	0.183227	+	1.15685i	0.00647402	+	0.0408753i
$802$	1.06896	+	5.44348i	0.0377464	+	0.192216i
$803$	3.18670	+	0.992634i	0.112456	+	0.0350293i
$804$	22.1391	+	9.29727i	0.780787	+	0.327889i
$805$	5.27923	−	7.26623i	0.186068	−	0.256101i
$806$	3.57241	−	20.4655i	0.125833	−	0.720868i
$807$	21.4600	−	6.97277i	0.755427	−	0.245453i
$808$	−14.2170	−	10.2046i	−0.500151	−	0.358995i
$809$	27.1299	+	12.0790i	0.953837	+	0.424676i	0.823830	−	0.566837i	$-0.191833\pi$
$809$	27.1299	+	12.0790i	0.953837	+	0.424676i	0.130008	+	0.991513i	$0.458500\pi$
$810$	24.4140	+	43.8452i	0.857822	+	1.54056i
$811$	2.08141	−	1.06053i	0.0730880	−	0.0372402i	−0.417064	−	0.908877i	$-0.636941\pi$
$811$	2.08141	−	1.06053i	0.0730880	−	0.0372402i	0.490153	+	0.871637i	$0.336941\pi$
$812$	−8.03785	+	14.6330i	−0.282073	+	0.513517i
$813$	0.443261	−	0.118771i	0.0155458	−	0.00416549i
$814$	−1.10471	−	22.5177i	−0.0387200	−	0.789246i
$815$	−81.2173	−	46.8908i	−2.84492	−	1.64251i
$816$	−14.4256	+	36.5100i	−0.504997	+	1.27811i
$817$	−14.4892	−	9.40940i	−0.506913	−	0.329193i
$818$	4.89054	−	8.17476i	0.170994	−	0.285824i
$819$	−0.203950	+	0.226416i	−0.00712659	+	0.00791162i
$820$	−11.8788	−	22.1352i	−0.414826	−	0.772994i
$821$	0.674382	+	12.8680i	0.0235361	+	0.449095i	0.984825	+	0.173552i	$0.0555244\pi$
$821$	0.674382	+	12.8680i	0.0235361	+	0.449095i	−0.961289	+	0.275543i	$0.911142\pi$
$822$	4.79668	+	3.60013i	0.167304	+	0.125569i
$823$	−40.7721	+	18.1529i	−1.42123	+	0.632770i	−0.966220	−	0.257718i	$-0.917029\pi$
$823$	−40.7721	+	18.1529i	−1.42123	+	0.632770i	−0.455006	+	0.890489i	$0.650363\pi$
$824$	−8.88204	+	43.0041i	−0.309420	+	1.49812i
$825$	−64.7479	+	4.18543i	−2.25423	+	0.145718i
$826$	−6.41832	+	9.55510i	−0.223322	+	0.332464i
$827$	−34.6145	+	5.48240i	−1.20366	+	0.190642i	−0.725871	−	0.687830i	$-0.758563\pi$
$827$	−34.6145	+	5.48240i	−1.20366	+	0.190642i	−0.477793	+	0.878472i	$0.658563\pi$
$828$	−0.195754	−	0.287825i	−0.00680293	−	0.0100026i
$829$	10.5703	+	9.51757i	0.367123	+	0.330559i	0.831958	−	0.554838i	$-0.187220\pi$
$829$	10.5703	+	9.51757i	0.367123	+	0.330559i	−0.464835	+	0.885397i	$0.653887\pi$
$830$	−33.7759	+	63.8188i	−1.17238	+	2.21518i
$831$	30.9698	−	22.5008i	1.07433	−	0.780546i
$832$	−10.6412	−	26.8098i	−0.368916	−	0.929463i
$833$	10.5177	−	32.3701i	0.364416	−	1.12156i
$834$	−17.1931	−	2.99756i	−0.595349	−	0.103797i
$835$	−28.5098	+	16.4601i	−0.986622	+	0.569627i
$836$	−13.1955	−	3.06614i	−0.456375	−	0.106045i
$837$	−15.1664	+	15.1664i	−0.524226	+	0.524226i
$838$	8.51602	−	3.11812i	0.294181	−	0.107714i
$839$	−28.7938	−	1.50902i	−0.994073	−	0.0520971i	−0.451643	−	0.892199i	$-0.649162\pi$
$839$	−28.7938	−	1.50902i	−0.994073	−	0.0520971i	−0.542429	+	0.840101i	$0.682495\pi$
$840$	−20.1994	+	2.24083i	−0.696945	+	0.0773160i
$841$	−3.74232	−	35.6058i	−0.129046	−	1.22779i
$842$	4.00004	+	12.9942i	0.137851	+	0.447810i
$843$	1.49765	+	28.5768i	0.0515817	+	0.984237i
$844$	17.6705	+	8.53456i	0.608243	+	0.293772i
$845$	−23.9574	+	46.9714i	−0.824159	+	1.61587i
$846$	−0.300188	−	0.343990i	−0.0103207	−	0.0118266i
$847$	−6.96022	+	9.03710i	−0.239156	+	0.310518i
$848$	7.52298	+	29.2146i	0.258340	+	1.00323i
$849$	−19.2583	−	43.2549i	−0.660944	−	1.48450i
$850$	−86.3268	−	34.6855i	−2.96098	−	1.18970i
$851$	−5.59018	−	8.60813i	−0.191629	−	0.295083i
$852$	6.51310	+	6.93085i	0.223135	+	0.237447i
$853$	−2.24177	−	0.355061i	−0.0767566	−	0.0121571i	0.117938	−	0.993021i	$-0.462372\pi$
$853$	−2.24177	−	0.355061i	−0.0767566	−	0.0121571i	−0.194695	+	0.980864i	$0.562372\pi$
$854$	−0.838600	−	1.50604i	−0.0286963	−	0.0515357i
$855$	−0.660382	+	0.140369i	−0.0225846	+	0.00480051i
$856$	4.94630	−	15.5271i	0.169061	−	0.530706i
$857$			18.1792i			0.620991i	0.950575	+	0.310496i	$0.100495\pi$
$857$			18.1792i			0.620991i	−0.950575	+	0.310496i	$0.899505\pi$
$858$	28.8566	−	1.40977i	0.985148	−	0.0481287i
$859$			15.7325i			0.536786i	0.963310	+	0.268393i	$0.0864925\pi$
$859$			15.7325i			0.536786i	−0.963310	+	0.268393i	$0.913507\pi$
$860$	−35.5689	−	58.6846i	−1.21289	−	2.00113i
$861$	5.36614	−	1.14061i	0.182878	−	0.0388718i
$862$	−9.80217	+	5.45808i	−0.333863	+	0.185903i
$863$	14.5611	+	2.30625i	0.495665	+	0.0785057i	0.399262	−	0.916837i	$-0.369266\pi$
$863$	14.5611	+	2.30625i	0.495665	+	0.0785057i	0.0964029	+	0.995342i	$0.469266\pi$
$864$	−6.92639	+	28.9628i	−0.235641	+	0.985334i
$865$	35.9199	+	55.3119i	1.22131	+	1.88066i
$866$	−0.165478	+	0.411850i	−0.00562318	+	0.0139952i
$867$	−11.1193	−	24.9745i	−0.377633	−	0.848177i
$868$	−3.19548	−	7.82242i	−0.108462	−	0.265510i
$869$	47.4941	+	23.4745i	1.61113	+	0.796319i
$870$	59.4350	−	51.8669i	2.01503	−	1.75845i
$871$	10.3111	−	23.1464i	0.349378	−	0.784285i
$872$	2.20595	−	0.604732i	0.0747028	−	0.0204788i
$873$	0.0305615	+	0.583148i	0.00103435	+	0.0197366i
$874$	−5.89461	+	1.81455i	−0.199388	+	0.0613782i
$875$	−2.83630	−	26.9856i	−0.0958845	−	0.912280i
$876$	−2.82418	−	1.96138i	−0.0954200	−	0.0662688i
$877$	34.9827	+	1.83337i	1.18128	+	0.0619084i	0.632842	−	0.774281i	$-0.281888\pi$
$877$	34.9827	+	1.83337i	1.18128	+	0.0619084i	0.548441	+	0.836189i	$0.315222\pi$
$878$	−2.71019	−	7.40189i	−0.0914643	−	0.249802i
$879$	21.1958	−	21.1958i	0.714916	−	0.714916i
$880$	−41.8996	−	33.7618i	−1.41243	−	1.13811i
$881$	40.3534	−	23.2981i	1.35954	−	0.784931i	0.369979	−	0.929040i	$-0.379365\pi$
$881$	40.3534	−	23.2981i	1.35954	−	0.784931i	0.989562	+	0.144109i	$0.0460315\pi$
$882$	0.117291	−	0.672745i	0.00394939	−	0.0226525i
$883$	−14.4294	+	44.4091i	−0.485588	+	1.49449i	0.345540	+	0.938404i	$0.387696\pi$
$883$	−14.4294	+	44.4091i	−0.485588	+	1.49449i	−0.831128	+	0.556082i	$0.812304\pi$
$884$	38.1916	+	16.0477i	1.28452	+	0.539741i
$885$	44.0000	−	31.9679i	1.47904	−	1.07459i
$886$	13.6051	+	7.20045i	0.457071	+	0.241904i
$887$	17.3768	+	15.6461i	0.583454	+	0.525344i	0.907145	−	0.420818i	$-0.138257\pi$
$887$	17.3768	+	15.6461i	0.583454	+	0.525344i	−0.323691	+	0.946163i	$0.604924\pi$
$888$	−5.88172	+	22.4681i	−0.197377	+	0.753980i
$889$	−4.33144	+	0.686033i	−0.145272	+	0.0230088i
$890$	68.4283	+	45.9644i	2.29372	+	1.54073i
$891$	−24.5263	−	15.5057i	−0.821661	−	0.519461i
$892$	18.0550	+	23.7692i	0.604525	+	0.795851i
$893$	−7.39014	+	3.29030i	−0.247302	+	0.110106i
$894$	−6.67224	+	8.88985i	−0.223153	+	0.297321i
$895$	−0.193359	−	3.68952i	−0.00646329	−	0.123327i
$896$	−9.46375	−	6.93387i	−0.316162	−	0.231644i
$897$	11.0327	−	7.16152i	0.368372	−	0.239116i
$898$	48.8480	+	29.2232i	1.63008	+	0.975192i
$899$	27.5068	+	17.8631i	0.917402	+	0.595768i
$900$	−1.81291	−	0.444616i	−0.0604302	−	0.0148205i
$901$	−37.5220	−	21.6633i	−1.25004	−	0.721710i
$902$	12.1553	+	7.95160i	0.404728	+	0.264759i
$903$	14.4753	−	3.87865i	0.481708	−	0.129073i
$904$	−3.88436	−	17.7702i	−0.129192	−	0.591027i
$905$	44.3356	−	22.5901i	1.47376	−	0.750920i
$906$	−34.4698	+	19.1936i	−1.14518	+	0.637664i
$907$	−52.7580	−	23.4894i	−1.75180	−	0.779953i	−0.991457	−	0.130433i	$-0.958363\pi$
$907$	−52.7580	−	23.4894i	−1.75180	−	0.779953i	−0.760345	−	0.649519i	$-0.774970\pi$
$908$	−5.85668	−	24.9306i	−0.194361	−	0.827351i
$909$	0.479597	−	0.155830i	0.0159072	−	0.00516857i
$910$	1.90586	+	21.3616i	0.0631786	+	0.708131i
$911$	27.7148	−	38.1462i	0.918234	−	1.26384i	−0.0460419	−	0.998940i	$-0.514661\pi$
$911$	27.7148	−	38.1462i	0.918234	−	1.26384i	0.964276	−	0.264901i	$-0.0853392\pi$
$912$	12.0174	+	7.09566i	0.397936	+	0.234961i
$913$	−0.509006	−	41.7465i	−0.0168456	−	1.38161i
$914$	−23.9556	+	4.70429i	−0.792382	+	0.155604i
$915$	1.27412	+	8.04447i	0.0421211	+	0.265942i
$916$	2.51615	−	13.2154i	0.0831359	−	0.436649i
$917$	−12.2021	−	18.7896i	−0.402950	−	0.620489i
$918$	−22.7338	−	36.2267i	−0.750328	−	1.19566i
$919$	6.88062	−	0.723183i	0.226971	−	0.0238556i	0.00963974	−	0.999954i	$-0.496932\pi$
$919$	6.88062	−	0.723183i	0.226971	−	0.0238556i	0.217331	+	0.976098i	$0.430265\pi$
$920$	−24.2179	−	3.69277i	−0.798441	−	0.121747i
$921$	−26.1214	−	16.9634i	−0.860728	−	0.558964i
$922$	3.85778	+	43.1398i	0.127049	+	1.42073i
$923$	7.45997	−	6.71422i	0.245548	−	0.221001i
$924$	9.63541	−	6.72644i	0.316982	−	0.221284i
$925$	−53.1660	−	14.2458i	−1.74809	−	0.468399i
$926$	−46.3791	+	32.6080i	−1.52411	+	1.07156i
$927$	−0.846681	−	0.940335i	−0.0278087	−	0.0308846i
$928$	45.5229	+	1.15196i	1.49436	+	0.0378149i
$929$	−4.98560	−	4.03726i	−0.163572	−	0.132458i	0.544040	−	0.839060i	$-0.316894\pi$
$929$	−4.98560	−	4.03726i	−0.163572	−	0.132458i	−0.707612	+	0.706601i	$0.750227\pi$
$930$	1.47004	+	39.8983i	0.0482045	+	1.30832i
$931$	−10.7811	−	5.49325i	−0.353336	−	0.180034i
$932$	−29.7529	+	20.2353i	−0.974588	+	0.662831i
$933$	−11.7692	−	1.23699i	−0.385306	−	0.0404973i
$934$	18.4773	−	9.05599i	0.604597	−	0.296321i
$935$	76.7529	−	9.01444i	2.51009	−	0.294804i
$936$	0.804032	+	0.210656i	0.0262806	+	0.00688550i
$937$	−22.4589	−	16.3174i	−0.733701	−	0.533065i	0.157031	−	0.987594i	$-0.449808\pi$
$937$	−22.4589	−	16.3174i	−0.733701	−	0.533065i	−0.890732	+	0.454528i	$0.849808\pi$
$938$	−1.45397	−	10.2033i	−0.0474739	−	0.333148i
$939$	−21.2360	−	19.1210i	−0.693012	−	0.623991i
$940$	−32.1163	−	0.997976i	−1.04752	−	0.0325504i
$941$	−0.931212	+	5.87944i	−0.0303566	+	0.191664i	−0.998207	−	0.0598642i	$-0.980933\pi$
$941$	−0.931212	+	5.87944i	−0.0303566	+	0.191664i	0.967850	+	0.251529i	$0.0809332\pi$
$942$	14.7953	+	4.21174i	0.482057	+	0.137226i
$943$	6.60383	+	0.346092i	0.215050	+	0.0112703i
$944$	31.1905	+	3.58661i	1.01517	+	0.116734i
$945$	11.0709	−	19.1753i	0.360135	−	0.623773i
$946$	34.2955	+	19.9535i	1.11504	+	0.648745i
$947$	−13.0871	−	3.50667i	−0.425272	−	0.113951i	0.0398339	−	0.999206i	$-0.487317\pi$
$947$	−13.0871	−	3.50667i	−0.425272	−	0.113951i	−0.465106	+	0.885255i	$0.653984\pi$
$948$	−39.4053	−	37.7617i	−1.27982	−	1.22644i
$949$	−2.13337	+	2.93507i	−0.0692521	+	0.0952764i
$950$	−16.9799	+	28.3827i	−0.550901	+	0.920857i
$951$	−18.4701	−	48.1163i	−0.598935	−	1.56028i
$952$	16.6266	−	2.73173i	0.538871	−	0.0885357i
$953$	0.0329242	−	0.154896i	0.00106652	−	0.00501759i	−0.977611	−	0.210420i	$-0.932517\pi$
$953$	0.0329242	−	0.154896i	0.00106652	−	0.00501759i	0.978678	+	0.205402i	$0.0658503\pi$
$954$	−0.806626	−	0.324097i	−0.0261155	−	0.0104930i
$955$	78.6821	+	30.2032i	2.54609	+	0.977354i
$956$	−25.0123	+	3.16873i	−0.808955	+	0.102484i
$957$	−15.8252	+	42.7777i	−0.511555	+	1.38281i
$958$	41.2087	−	8.09237i	1.33139	−	0.261452i
$959$	0.269075	−	2.56008i	0.00868890	−	0.0826693i
$960$	30.7250	+	46.1391i	0.991646	+	1.48913i
$961$	13.6952	−	4.44984i	0.441781	−	0.143543i
$962$	23.5709	+	6.71508i	0.759957	+	0.216503i
$963$	0.276011	+	0.379896i	0.00889432	+	0.0122420i
$964$	31.6360	+	2.64533i	1.01893	+	0.0852003i
$965$	50.6507	−	10.7661i	1.63050	−	0.346575i
$966$	2.25165	−	4.85299i	0.0724455	−	0.156142i
$967$	−26.6565	−	26.6565i	−0.857216	−	0.857216i	0.133793	−	0.991009i	$-0.457284\pi$
$967$	−26.6565	−	26.6565i	−0.857216	−	0.857216i	−0.991009	+	0.133793i	$0.957284\pi$
$968$	30.6140	+	5.54839i	0.983970	+	0.178332i
$969$	−19.3604	+	5.18760i	−0.621945	+	0.166650i
$970$	31.5333	+	26.3565i	1.01247	+	0.846256i
$971$	16.6553	−	14.9965i	0.534493	−	0.481260i	−0.357119	−	0.934059i	$-0.616241\pi$
$971$	16.6553	−	14.9965i	0.534493	−	0.481260i	0.891613	+	0.452799i	$0.149574\pi$
$972$	−1.09356	−	1.29313i	−0.0350759	−	0.0414771i
$973$	2.68448	+	6.99332i	0.0860606	+	0.224196i
$974$	9.15745	−	40.0159i	0.293424	−	1.28219i
$975$	18.2698	−	68.1282i	0.585103	−	2.18185i
$976$	−2.59914	+	3.91800i	−0.0831964	+	0.125412i
$977$	21.6117	+	26.6882i	0.691418	+	0.853831i	0.995093	−	0.0989453i	$-0.0315469\pi$
$977$	21.6117	+	26.6882i	0.691418	+	0.853831i	−0.303675	+	0.952776i	$0.598214\pi$
$978$	−52.8529	−	18.0852i	−1.69005	−	0.578301i
$979$	−47.4591	−	4.40385i	−1.51680	−	0.140748i
$980$	−29.0713	−	38.2720i	−0.928648	−	1.22255i
$981$	−0.0236204	+	0.0615333i	−0.000754142	+	0.00196461i
$982$	−25.1303	+	19.7118i	−0.801941	+	0.629030i
$983$	−9.24802	−	4.71210i	−0.294966	−	0.150293i	0.300245	−	0.953862i	$-0.402932\pi$
$983$	−9.24802	−	4.71210i	−0.294966	−	0.150293i	−0.595211	+	0.803569i	$0.702932\pi$
$984$	−9.48372	−	11.5744i	−0.302330	−	0.368977i
$985$	−22.1031	+	49.6444i	−0.704264	+	1.58180i
$986$	−46.9579	+	45.5214i	−1.49544	+	1.44970i
$987$	2.16838	−	6.67360i	0.0690204	−	0.212423i
$988$	7.75872	−	12.5177i	0.246838	−	0.398240i
$989$	18.0642			0.574407
$990$	1.49904	−	0.396307i	0.0476428	−	0.0125955i
$991$	−39.4941	+	22.8020i	−1.25457	+	0.724328i	−0.972014	−	0.234922i	$-0.924517\pi$
$991$	−39.4941	+	22.8020i	−1.25457	+	0.724328i	−0.282559	+	0.959250i	$0.591183\pi$
$992$	−14.9529	+	17.5388i	−0.474755	+	0.556859i
$993$	−14.2221	−	27.9124i	−0.451324	−	0.885773i
$994$	1.11767	−	3.92623i	0.0354503	−	0.124533i
$995$	−8.56440	−	6.93532i	−0.271510	−	0.219864i
$996$	−12.4166	+	41.1783i	−0.393436	+	1.30478i
$997$	−18.7972	−	3.99548i	−0.595315	−	0.126538i	−0.0996061	−	0.995027i	$-0.531758\pi$
$997$	−18.7972	−	3.99548i	−0.595315	−	0.126538i	−0.495709	+	0.868489i	$0.665092\pi$
$998$	24.5804	−	32.7500i	0.778078	−	1.03668i
$999$	−15.9239	−	19.6644i	−0.503809	−	0.622153i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bs.a.15.6	✓	1280
4.3	odd	2	inner	572.2.bs.a.15.43	yes	1280
11.3	even	5	inner	572.2.bs.a.223.29	yes	1280
13.7	odd	12	inner	572.2.bs.a.59.10	yes	1280
44.3	odd	10	inner	572.2.bs.a.223.10	yes	1280
52.7	even	12	inner	572.2.bs.a.59.29	yes	1280
143.124	odd	60	inner	572.2.bs.a.267.43	yes	1280
572.267	even	60	inner	572.2.bs.a.267.6	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bs.a.15.6	✓	1280	1.1	even	1	trivial
572.2.bs.a.15.43	yes	1280	4.3	odd	2	inner
572.2.bs.a.59.10	yes	1280	13.7	odd	12	inner
572.2.bs.a.59.29	yes	1280	52.7	even	12	inner
572.2.bs.a.223.10	yes	1280	44.3	odd	10	inner
572.2.bs.a.223.29	yes	1280	11.3	even	5	inner
572.2.bs.a.267.6	yes	1280	572.267	even	60	inner
572.2.bs.a.267.43	yes	1280	143.124	odd	60	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39320 - 0.242899i) q^{2} +(-0.355188 - 1.67103i) q^{3} +(1.88200 + 0.676813i) q^{4} +(-0.634502 + 4.00609i) q^{5} +(0.0889558 + 2.41435i) q^{6} +(0.869682 - 0.564778i) q^{7} +(-2.45760 - 1.40007i) q^{8} +(0.0744566 - 0.0331502i) q^{9} +O(q^{10})\)	\(q+(-1.39320 - 0.242899i) q^{2} +(-0.355188 - 1.67103i) q^{3} +(1.88200 + 0.676813i) q^{4} +(-0.634502 + 4.00609i) q^{5} +(0.0889558 + 2.41435i) q^{6} +(0.869682 - 0.564778i) q^{7} +(-2.45760 - 1.40007i) q^{8} +(0.0744566 - 0.0331502i) q^{9} +(1.85706 - 5.42715i) q^{10} +(0.558734 + 3.26922i) q^{11} +(0.462510 - 3.38527i) q^{12} +(-3.56105 - 0.564761i) q^{13} +(-1.34882 + 0.575602i) q^{14} +(6.91965 - 0.362644i) q^{15} +(3.08385 + 2.54752i) q^{16} +(-5.71331 + 0.600493i) q^{17} +(-0.111785 + 0.0280994i) q^{18} +(-0.106885 + 2.03949i) q^{19} +(-3.90550 + 7.11001i) q^{20} +(-1.25266 - 1.25266i) q^{21} +(0.0156646 - 4.69039i) q^{22} +(-1.06771 - 1.84932i) q^{23} +(-1.46665 + 4.60401i) q^{24} +(-10.8908 - 3.53865i) q^{25} +(4.82406 + 1.65180i) q^{26} +(-3.09429 - 4.25892i) q^{27} +(2.01899 - 0.474300i) q^{28} +(-5.38648 + 5.98229i) q^{29} +(-9.72853 - 1.17554i) q^{30} +(-0.637363 - 4.02415i) q^{31} +(-3.67762 - 4.29827i) q^{32} +(5.26451 - 2.09485i) q^{33} +(8.10562 + 0.551152i) q^{34} +(1.71073 + 3.84237i) q^{35} +(0.162564 - 0.0119955i) q^{36} +(4.79998 - 0.251556i) q^{37} +(0.644303 - 2.81545i) q^{38} +(0.321109 + 6.15121i) q^{39} +(7.16816 - 8.95701i) q^{40} +(-1.68662 + 2.59717i) q^{41} +(1.44093 + 2.04948i) q^{42} +(-4.22966 + 7.32599i) q^{43} +(-1.16112 + 6.53084i) q^{44} +(0.0855598 + 0.319313i) q^{45} +(1.03833 + 2.83582i) q^{46} +(1.79826 + 3.52928i) q^{47} +(3.16164 - 6.05805i) q^{48} +(-2.40978 + 5.41246i) q^{49} +(14.3136 + 7.57542i) q^{50} +(3.03274 + 9.33381i) q^{51} +(-6.31965 - 3.47304i) q^{52} +(6.10155 + 4.43303i) q^{53} +(3.27647 + 6.68512i) q^{54} +(-13.4513 + 0.164009i) q^{55} +(-2.92806 + 0.170383i) q^{56} +(3.44602 - 0.545795i) q^{57} +(8.95752 - 7.02614i) q^{58} +(6.58274 - 4.27488i) q^{59} +(13.2682 + 4.00082i) q^{60} +(0.122866 + 1.16899i) q^{61} +(-0.0894904 + 5.76125i) q^{62} +(0.0460311 - 0.0708816i) q^{63} +(4.07960 + 6.88163i) q^{64} +(4.52197 - 13.9075i) q^{65} +(-7.84334 + 1.63980i) q^{66} +(-1.81893 + 6.78835i) q^{67} +(-11.1589 - 2.73671i) q^{68} +(-2.71104 + 2.44103i) q^{69} +(-1.45008 - 5.76872i) q^{70} +(-1.75180 + 2.16329i) q^{71} +(-0.229397 - 0.0227745i) q^{72} +(0.456878 - 0.896674i) q^{73} +(-6.74842 - 0.815444i) q^{74} +(-2.04489 + 19.4558i) q^{75} +(-1.58151 + 3.76598i) q^{76} +(2.33231 + 2.52762i) q^{77} +(1.04676 - 8.64785i) q^{78} +(9.38910 - 12.9230i) q^{79} +(-12.1623 + 10.7378i) q^{80} +(-5.85412 + 6.50166i) q^{81} +(2.98065 - 3.20869i) q^{82} +(-12.4330 - 1.96919i) q^{83} +(-1.50969 - 3.20533i) q^{84} +(1.21948 - 23.2690i) q^{85} +(7.67223 - 9.17917i) q^{86} +(11.9098 + 6.87612i) q^{87} +(3.20400 - 8.81671i) q^{88} +(-3.71947 + 13.8812i) q^{89} +(-0.0416407 - 0.465649i) q^{90} +(-3.41594 + 1.52004i) q^{91} +(-0.757779 - 4.20306i) q^{92} +(-6.49809 + 2.49438i) q^{93} +(-1.64807 - 5.35378i) q^{94} +(-8.10256 - 1.72225i) q^{95} +(-5.87629 + 7.67210i) q^{96} +(-2.56762 + 6.68888i) q^{97} +(4.67199 - 6.95530i) q^{98} +(0.149977 + 0.224893i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9}+O(q^{10}) \) 1280 * q - 12 * q^2 - 18 * q^4 - 24 * q^5 - 4 * q^6 - 12 * q^8 - 156 * q^9	\( 1280 q - 12 q^{2} - 18 q^{4} - 24 q^{5} - 4 q^{6} - 12 q^{8} - 156 q^{9} - 48 q^{10} - 24 q^{13} - 40 q^{14} + 18 q^{16} - 36 q^{17} - 8 q^{18} + 18 q^{20} - 40 q^{21} - 10 q^{22} - 100 q^{24} - 44 q^{26} - 4 q^{28} - 12 q^{29} - 114 q^{30} - 92 q^{32} - 20 q^{33} + 36 q^{34} - 72 q^{36} - 24 q^{37} + 8 q^{40} + 26 q^{42} - 20 q^{44} - 80 q^{45} + 32 q^{46} + 30 q^{48} - 36 q^{49} - 78 q^{50} + 34 q^{52} - 80 q^{53} - 188 q^{54} - 48 q^{56} - 92 q^{58} + 20 q^{60} - 28 q^{61} + 42 q^{62} - 48 q^{65} + 204 q^{66} + 26 q^{68} - 36 q^{69} + 38 q^{70} - 136 q^{72} - 24 q^{73} - 6 q^{74} - 276 q^{76} - 156 q^{78} - 80 q^{80} + 60 q^{81} + 162 q^{82} - 108 q^{84} + 16 q^{85} - 88 q^{86} + 6 q^{88} - 64 q^{89} - 16 q^{92} + 64 q^{93} + 34 q^{94} + 114 q^{96} - 8 q^{97} - 24 q^{98}+O(q^{100}) \) 1280 * q - 12 * q^2 - 18 * q^4 - 24 * q^5 - 4 * q^6 - 12 * q^8 - 156 * q^9 - 48 * q^10 - 24 * q^13 - 40 * q^14 + 18 * q^16 - 36 * q^17 - 8 * q^18 + 18 * q^20 - 40 * q^21 - 10 * q^22 - 100 * q^24 - 44 * q^26 - 4 * q^28 - 12 * q^29 - 114 * q^30 - 92 * q^32 - 20 * q^33 + 36 * q^34 - 72 * q^36 - 24 * q^37 + 8 * q^40 + 26 * q^42 - 20 * q^44 - 80 * q^45 + 32 * q^46 + 30 * q^48 - 36 * q^49 - 78 * q^50 + 34 * q^52 - 80 * q^53 - 188 * q^54 - 48 * q^56 - 92 * q^58 + 20 * q^60 - 28 * q^61 + 42 * q^62 - 48 * q^65 + 204 * q^66 + 26 * q^68 - 36 * q^69 + 38 * q^70 - 136 * q^72 - 24 * q^73 - 6 * q^74 - 276 * q^76 - 156 * q^78 - 80 * q^80 + 60 * q^81 + 162 * q^82 - 108 * q^84 + 16 * q^85 - 88 * q^86 + 6 * q^88 - 64 * q^89 - 16 * q^92 + 64 * q^93 + 34 * q^94 + 114 * q^96 - 8 * q^97 - 24 * q^98

Introduction

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