LMFDB - Embedded newform 644.2.be.a.215.54

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [644,2,Mod(3,644)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(644, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 11, 48]))

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

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

chi := DirichletCharacter("644.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 644 = 2^{2} \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	644.be (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:	$5.14236589017$
Analytic rank:	$0$
Dimension:	$1840$
Relative dimension:	$92$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			215.54
Character	$\chi$	$=$	644.215
Dual form			644.2.be.a.3.54

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.360731 - 1.36743i) q^{2} +(0.949023 - 1.33272i) q^{3} +(-1.73975 - 0.986552i) q^{4} +(0.651971 + 3.38275i) q^{5} +(-1.48006 - 1.77848i) q^{6} +(-0.689441 + 2.55434i) q^{7} +(-1.97662 + 2.02311i) q^{8} +(0.105716 + 0.305446i) q^{9} +O(q^{10})$	\(q+(0.360731 - 1.36743i) q^{2} +(0.949023 - 1.33272i) q^{3} +(-1.73975 - 0.986552i) q^{4} +(0.651971 + 3.38275i) q^{5} +(-1.48006 - 1.77848i) q^{6} +(-0.689441 + 2.55434i) q^{7} +(-1.97662 + 2.02311i) q^{8} +(0.105716 + 0.305446i) q^{9} +(4.86087 + 0.328736i) q^{10} +(3.43486 + 4.36778i) q^{11} +(-2.96585 + 1.38233i) q^{12} +(-2.16733 - 3.37243i) q^{13} +(3.24419 + 1.86420i) q^{14} +(5.12698 + 2.34141i) q^{15} +(2.05343 + 3.43270i) q^{16} +(-3.31610 + 3.47783i) q^{17} +(0.455812 - 0.0343754i) q^{18} +(4.31941 - 4.11855i) q^{19} +(2.20299 - 6.52832i) q^{20} +(2.74992 + 3.34296i) q^{21} +(7.21171 - 3.12135i) q^{22} +(-4.22435 + 2.27043i) q^{23} +(0.820363 + 4.55425i) q^{24} +(-6.37607 + 2.55259i) q^{25} +(-5.39340 + 1.74714i) q^{26} +(5.21684 + 1.53180i) q^{27} +(3.71944 - 3.76374i) q^{28} +(0.241846 - 0.0710123i) q^{29} +(5.05118 - 6.16618i) q^{30} +(5.77285 - 0.551241i) q^{31} +(5.43472 - 1.56965i) q^{32} +(9.08077 - 0.432570i) q^{33} +(3.55947 + 5.78911i) q^{34} +(-9.09019 - 0.666846i) q^{35} +(0.117420 - 0.635693i) q^{36} +(-2.45250 - 7.08604i) q^{37} +(-4.07370 - 7.39220i) q^{38} +(-6.55134 - 0.312079i) q^{39} +(-8.13235 - 5.36741i) q^{40} +(-3.65865 + 3.17024i) q^{41} +(5.56326 - 2.55442i) q^{42} +(0.538681 - 0.246007i) q^{43} +(-1.66674 - 10.9875i) q^{44} +(-0.964323 + 0.556752i) q^{45} +(1.58080 + 6.59553i) q^{46} +(-0.0686439 + 0.118895i) q^{47} +(6.52357 + 0.521070i) q^{48} +(-6.04934 - 3.52214i) q^{49} +(1.19045 + 9.63964i) q^{50} +(1.48790 + 7.71996i) q^{51} +(0.443524 + 8.00536i) q^{52} +(0.258823 - 5.43336i) q^{53} +(3.97651 - 6.58111i) q^{54} +(-12.5357 + 14.4669i) q^{55} +(-3.80494 - 6.44379i) q^{56} +(-1.38964 - 9.66516i) q^{57} +(-0.00986323 - 0.356324i) q^{58} +(4.06587 + 2.09610i) q^{59} +(-6.60971 - 9.13149i) q^{60} +(-0.975104 + 0.694368i) q^{61} +(1.32866 - 8.09284i) q^{62} +(-0.853099 + 0.0594477i) q^{63} +(-0.185911 - 7.99784i) q^{64} +(9.99504 - 9.53025i) q^{65} +(2.68421 - 12.5734i) q^{66} +(-2.24996 - 5.62012i) q^{67} +(9.20023 - 2.77903i) q^{68} +(-0.983170 + 7.78455i) q^{69} +(-4.19098 + 12.1897i) q^{70} +(-6.44292 - 0.926352i) q^{71} +(-0.826910 - 0.389878i) q^{72} +(15.4290 - 3.74303i) q^{73} +(-10.5744 + 0.797476i) q^{74} +(-2.64915 + 10.9200i) q^{75} +(-11.5779 + 2.90391i) q^{76} +(-13.5249 + 5.76249i) q^{77} +(-2.79002 + 8.84594i) q^{78} +(3.45834 - 0.164741i) q^{79} +(-10.2732 + 9.18425i) q^{80} +(6.23014 - 4.89944i) q^{81} +(3.01530 + 6.14657i) q^{82} +(2.70143 - 3.11762i) q^{83} +(-1.48616 - 8.52884i) q^{84} +(-13.9266 - 8.95008i) q^{85} +(-0.142079 - 0.825353i) q^{86} +(0.134878 - 0.389704i) q^{87} +(-15.6259 - 1.68438i) q^{88} +(0.0334635 - 0.350446i) q^{89} +(0.413460 + 1.51948i) q^{90} +(10.1086 - 3.21101i) q^{91} +(9.58920 + 0.217575i) q^{92} +(4.74392 - 8.21671i) q^{93} +(0.137819 + 0.136755i) q^{94} +(16.7482 + 11.9263i) q^{95} +(3.06578 - 8.73257i) q^{96} +(5.48928 - 4.75649i) q^{97} +(-6.99848 + 7.00152i) q^{98} +(-0.971002 + 1.51091i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9}+O(q^{10}) $ 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9	$ 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9} - 27 q^{10} - 27 q^{12} - 14 q^{14} - 19 q^{16} - 54 q^{17} - q^{18} - 40 q^{21} - 56 q^{22} - 78 q^{24} - 94 q^{25} - 9 q^{26} + 12 q^{28} - 120 q^{29} - 19 q^{30} + 3 q^{32} - 54 q^{33} - 114 q^{36} - 2 q^{37} - 87 q^{38} - 57 q^{40} - 114 q^{42} + 72 q^{44} - 132 q^{45} - 9 q^{46} - 20 q^{49} - 186 q^{50} + 3 q^{52} - 34 q^{53} - 51 q^{54} - 93 q^{56} - 64 q^{57} + 22 q^{58} - 11 q^{60} - 54 q^{61} - 8 q^{64} - 46 q^{65} + 150 q^{66} - 30 q^{68} - 10 q^{70} + 43 q^{72} - 54 q^{73} + 6 q^{74} - 16 q^{77} - 212 q^{78} + 216 q^{80} - 58 q^{81} - 57 q^{82} - 102 q^{84} + 152 q^{85} + 3 q^{86} + 144 q^{88} - 174 q^{89} - 250 q^{92} - 64 q^{93} + 216 q^{94} - 69 q^{96} - 44 q^{98}+O(q^{100}) $ 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9 - 27 * q^10 - 27 * q^12 - 14 * q^14 - 19 * q^16 - 54 * q^17 - q^18 - 40 * q^21 - 56 * q^22 - 78 * q^24 - 94 * q^25 - 9 * q^26 + 12 * q^28 - 120 * q^29 - 19 * q^30 + 3 * q^32 - 54 * q^33 - 114 * q^36 - 2 * q^37 - 87 * q^38 - 57 * q^40 - 114 * q^42 + 72 * q^44 - 132 * q^45 - 9 * q^46 - 20 * q^49 - 186 * q^50 + 3 * q^52 - 34 * q^53 - 51 * q^54 - 93 * q^56 - 64 * q^57 + 22 * q^58 - 11 * q^60 - 54 * q^61 - 8 * q^64 - 46 * q^65 + 150 * q^66 - 30 * q^68 - 10 * q^70 + 43 * q^72 - 54 * q^73 + 6 * q^74 - 16 * q^77 - 212 * q^78 + 216 * q^80 - 58 * q^81 - 57 * q^82 - 102 * q^84 + 152 * q^85 + 3 * q^86 + 144 * q^88 - 174 * q^89 - 250 * q^92 - 64 * q^93 + 216 * q^94 - 69 * q^96 - 44 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/644\mathbb{Z}\right)^\times$.

$n$	$185$	$281$	$323$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{11}\right)$	$-1$

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 $

$2$	0.360731	−	1.36743i	0.255076	−	0.966921i
$2$	0.360731	−	1.36743i	0.255076	−	0.966921i
$3$	0.949023	−	1.33272i	0.547919	−	0.769444i	−0.444040	−	0.896007i	$-0.646455\pi$
$3$	0.949023	−	1.33272i	0.547919	−	0.769444i	0.991959	+	0.126563i	$0.0403946\pi$
$4$	−1.73975	−	0.986552i	−0.869873	−	0.493276i
$5$	0.651971	+	3.38275i	0.291570	+	1.51281i	0.771912	+	0.635729i	$0.219300\pi$
$5$	0.651971	+	3.38275i	0.291570	+	1.51281i	−0.480342	+	0.877081i	$0.659487\pi$
$6$	−1.48006	−	1.77848i	−0.604231	−	0.726060i
$7$	−0.689441	+	2.55434i	−0.260584	+	0.965451i
$7$	−0.689441	+	2.55434i	−0.260584	+	0.965451i
$8$	−1.97662	+	2.02311i	−0.698842	+	0.715276i
$9$	0.105716	+	0.305446i	0.0352386	+	0.101815i
$10$	4.86087	+	0.328736i	1.53714	+	0.103956i
$11$	3.43486	+	4.36778i	1.03565	+	1.31694i	0.947126	+	0.320861i	$0.103972\pi$
$11$	3.43486	+	4.36778i	1.03565	+	1.31694i	0.0885230	+	0.996074i	$0.471785\pi$
$12$	−2.96585	+	1.38233i	−0.856168	+	0.399043i
$13$	−2.16733	−	3.37243i	−0.601109	−	0.935344i	−0.999833	−	0.0182730i	$-0.994183\pi$
$13$	−2.16733	−	3.37243i	−0.601109	−	0.935344i	0.398724	−	0.917071i	$-0.369453\pi$
$14$	3.24419	+	1.86420i	0.867046	+	0.498227i
$15$	5.12698	+	2.34141i	1.32378	+	0.604550i
$16$	2.05343	+	3.43270i	0.513358	+	0.858175i
$17$	−3.31610	+	3.47783i	−0.804272	+	0.843497i	−0.990285	−	0.139051i	$-0.955595\pi$
$17$	−3.31610	+	3.47783i	−0.804272	+	0.843497i	0.186013	+	0.982547i	$0.440443\pi$
$18$	0.455812	−	0.0343754i	0.107436	−	0.00810237i
$19$	4.31941	−	4.11855i	0.990942	−	0.944861i	−0.00753859	−	0.999972i	$-0.502400\pi$
$19$	4.31941	−	4.11855i	0.990942	−	0.944861i	0.998480	+	0.0551106i	$0.0175511\pi$
$20$	2.20299	−	6.52832i	0.492604	−	1.45978i
$21$	2.74992	+	3.34296i	0.600082	+	0.729494i
$22$	7.21171	−	3.12135i	1.53754	−	0.665473i
$23$	−4.22435	+	2.27043i	−0.880838	+	0.473417i
$23$	−4.22435	+	2.27043i	−0.880838	+	0.473417i
$24$	0.820363	+	4.55425i	0.167456	+	0.929633i
$25$	−6.37607	+	2.55259i	−1.27521	+	0.510518i
$26$	−5.39340	+	1.74714i	−1.05773	+	0.342642i
$27$	5.21684	+	1.53180i	1.00398	+	0.294795i
$28$	3.71944	−	3.76374i	0.702909	−	0.711280i
$29$	0.241846	−	0.0710123i	0.0449096	−	0.0131867i	−0.259201	−	0.965824i	$-0.583459\pi$
$29$	0.241846	−	0.0710123i	0.0449096	−	0.0131867i	0.304110	+	0.952637i	$0.401641\pi$
$30$	5.05118	−	6.16618i	0.922216	−	1.12578i
$31$	5.77285	−	0.551241i	1.03683	−	0.0990057i	0.437269	−	0.899331i	$-0.355946\pi$
$31$	5.77285	−	0.551241i	1.03683	−	0.0990057i	0.599566	+	0.800325i	$0.295340\pi$
$32$	5.43472	−	1.56965i	0.960732	−	0.277477i
$33$	9.08077	−	0.432570i	1.58076	−	0.0753009i
$34$	3.55947	+	5.78911i	0.610444	+	0.992823i
$35$	−9.09019	−	0.666846i	−1.53652	−	0.112718i
$36$	0.117420	−	0.635693i	0.0195699	−	0.105949i
$37$	−2.45250	−	7.08604i	−0.403189	−	1.16494i	−0.945743	−	0.324917i	$-0.894664\pi$
$37$	−2.45250	−	7.08604i	−0.403189	−	1.16494i	0.542554	−	0.840021i	$-0.317458\pi$
$38$	−4.07370	−	7.39220i	−0.660841	−	1.19917i
$39$	−6.55134	−	0.312079i	−1.04905	−	0.0499726i
$40$	−8.13235	−	5.36741i	−1.28584	−	0.848663i
$41$	−3.65865	+	3.17024i	−0.571386	+	0.495108i	−0.891960	−	0.452115i	$-0.850670\pi$
$41$	−3.65865	+	3.17024i	−0.571386	+	0.495108i	0.320574	+	0.947223i	$0.396124\pi$
$42$	5.56326	−	2.55442i	0.858429	−	0.394156i
$43$	0.538681	−	0.246007i	0.0821481	−	0.0375158i	−0.373917	−	0.927462i	$-0.621986\pi$
$43$	0.538681	−	0.246007i	0.0821481	−	0.0375158i	0.456065	+	0.889946i	$0.349258\pi$
$44$	−1.66674	−	10.9875i	−0.251271	−	1.65643i
$45$	−0.964323	+	0.556752i	−0.143753	+	0.0829957i
$46$	1.58080	+	6.59553i	0.233077	+	0.972458i
$47$	−0.0686439	+	0.118895i	−0.0100127	+	0.0173426i	−0.870988	−	0.491304i	$-0.836521\pi$
$47$	−0.0686439	+	0.118895i	−0.0100127	+	0.0173426i	0.860976	+	0.508646i	$0.169854\pi$
$48$	6.52357	+	0.521070i	0.941596	+	0.0752100i
$49$	−6.04934	−	3.52214i	−0.864192	−	0.503163i
$50$	1.19045	+	9.63964i	0.168355	+	1.36325i
$51$	1.48790	+	7.71996i	0.208348	+	1.08101i
$52$	0.443524	+	8.00536i	0.0615058	+	1.11014i
$53$	0.258823	−	5.43336i	0.0355521	−	0.746330i	−0.908768	−	0.417302i	$-0.862976\pi$
$53$	0.258823	−	5.43336i	0.0355521	−	0.746330i	0.944320	−	0.329028i	$-0.106721\pi$
$54$	3.97651	−	6.58111i	0.541135	−	0.895575i
$55$	−12.5357	+	14.4669i	−1.69031	+	1.95072i
$56$	−3.80494	−	6.44379i	−0.508457	−	0.861088i
$57$	−1.38964	−	9.66516i	−0.184062	−	1.28018i
$58$	−0.00986323	−	0.356324i	−0.00129511	−	0.0467877i
$59$	4.06587	+	2.09610i	0.529331	+	0.272889i	0.702106	−	0.712072i	$-0.252243\pi$
$59$	4.06587	+	2.09610i	0.529331	+	0.272889i	−0.172775	+	0.984961i	$0.555273\pi$
$60$	−6.60971	−	9.13149i	−0.853310	−	1.17887i
$61$	−0.975104	+	0.694368i	−0.124849	+	0.0889047i	−0.640776	−	0.767728i	$-0.721387\pi$
$61$	−0.975104	+	0.694368i	−0.124849	+	0.0889047i	0.515926	+	0.856633i	$0.327448\pi$
$62$	1.32866	−	8.09284i	0.168741	−	1.02779i
$63$	−0.853099	+	0.0594477i	−0.107480	+	0.00748971i
$64$	−0.185911	−	7.99784i	−0.0232388	−	0.999730i
$65$	9.99504	−	9.53025i	1.23973	−	1.18208i
$66$	2.68421	−	12.5734i	0.330403	−	1.54768i
$67$	−2.24996	−	5.62012i	−0.274876	−	0.686607i	0.725122	−	0.688620i	$-0.241783\pi$
$67$	−2.24996	−	5.62012i	−0.274876	−	0.686607i	−0.999998	+	0.00201341i	$0.999359\pi$
$68$	9.20023	−	2.77903i	1.11569	−	0.337007i
$69$	−0.983170	+	7.78455i	−0.118360	+	0.937150i
$70$	−4.19098	+	12.1897i	−0.500919	+	1.45694i
$71$	−6.44292	−	0.926352i	−0.764634	−	0.109938i	−0.251047	−	0.967975i	$-0.580775\pi$
$71$	−6.44292	−	0.926352i	−0.764634	−	0.109938i	−0.513588	+	0.858037i	$0.671684\pi$
$72$	−0.826910	−	0.389878i	−0.0974523	−	0.0459475i
$73$	15.4290	−	3.74303i	1.80583	−	0.438089i	0.815724	−	0.578441i	$-0.196339\pi$
$73$	15.4290	−	3.74303i	1.80583	−	0.438089i	0.990102	+	0.140352i	$0.0448234\pi$
$74$	−10.5744	+	0.797476i	−1.22925	+	0.0927046i
$75$	−2.64915	+	10.9200i	−0.305898	+	1.26093i
$76$	−11.5779	+	2.90391i	−1.32807	+	0.333101i
$77$	−13.5249	+	5.76249i	−1.54131	+	0.656696i
$78$	−2.79002	+	8.84594i	−0.315908	+	1.00161i
$79$	3.45834	−	0.164741i	0.389094	−	0.0185348i	0.147876	−	0.989006i	$-0.452756\pi$
$79$	3.45834	−	0.164741i	0.389094	−	0.0185348i	0.241218	+	0.970471i	$0.422453\pi$
$80$	−10.2732	+	9.18425i	−1.14858	+	1.02683i
$81$	6.23014	−	4.89944i	0.692238	−	0.544382i
$82$	3.01530	+	6.14657i	0.332984	+	0.678775i
$83$	2.70143	−	3.11762i	0.296520	−	0.342203i	−0.587866	−	0.808958i	$-0.700032\pi$
$83$	2.70143	−	3.11762i	0.296520	−	0.342203i	0.884386	+	0.466756i	$0.154577\pi$
$84$	−1.48616	−	8.52884i	−0.162153	−	0.930573i
$85$	−13.9266	−	8.95008i	−1.51055	−	0.970773i
$86$	−0.142079	−	0.825353i	−0.0153208	−	0.0890001i
$87$	0.134878	−	0.389704i	0.0144604	−	0.0417807i
$88$	−15.6259	−	1.68438i	−1.66573	−	0.179555i
$89$	0.0334635	−	0.350446i	0.00354713	−	0.0371472i	−0.993525	−	0.113613i	$-0.963758\pi$
$89$	0.0334635	−	0.350446i	0.00354713	−	0.0371472i	0.997072	+	0.0764659i	$0.0243636\pi$
$90$	0.413460	+	1.51948i	0.0435825	+	0.160168i
$91$	10.1086	−	3.21101i	1.05967	−	0.336606i
$92$	9.58920	+	0.217575i	0.999743	+	0.0226837i
$93$	4.74392	−	8.21671i	0.491922	−	0.852033i
$94$	0.137819	+	0.136755i	0.0142149	+	0.0141052i
$95$	16.7482	+	11.9263i	1.71832	+	1.22361i
$96$	3.06578	−	8.73257i	0.312900	−	0.891264i
$97$	5.48928	−	4.75649i	0.557352	−	0.482948i	−0.330038	−	0.943968i	$-0.607062\pi$
$97$	5.48928	−	4.75649i	0.557352	−	0.482948i	0.887390	+	0.461019i	$0.152516\pi$
$98$	−6.99848	+	7.00152i	−0.706953	+	0.707261i
$99$	−0.971002	+	1.51091i	−0.0975894	+	0.151852i
$100$	13.6110	+	1.84946i	1.36110	+	0.184946i
$101$	−3.31381	+	17.1937i	−0.329736	+	1.71083i	0.317260	+	0.948339i	$0.397237\pi$
$101$	−3.31381	+	17.1937i	−0.329736	+	1.71083i	−0.646995	+	0.762494i	$0.723975\pi$
$102$	11.0933	+	0.750228i	1.09840	+	0.0742836i
$103$	16.7218	+	6.69438i	1.64764	+	0.659617i	0.995167	−	0.0981926i	$-0.0313061\pi$
$103$	16.7218	+	6.69438i	1.64764	+	0.659617i	0.652476	+	0.757809i	$0.273730\pi$
$104$	11.1068	+	2.28129i	1.08911	+	0.223699i
$105$	−9.51552	+	11.4818i	−0.928619	+	1.12051i
$106$	−7.33639	−	2.31391i	−0.712574	−	0.224747i
$107$	7.00163	−	4.98584i	0.676873	−	0.481999i	−0.189186	−	0.981941i	$-0.560585\pi$
$107$	7.00163	−	4.98584i	0.676873	−	0.481999i	0.866059	+	0.499942i	$0.166645\pi$
$108$	−7.56477	−	7.81163i	−0.727920	−	0.751674i
$109$	3.87534	+	3.69513i	0.371191	+	0.353930i	0.852598	−	0.522567i	$-0.175026\pi$
$109$	3.87534	+	3.69513i	0.371191	+	0.353930i	−0.481407	+	0.876497i	$0.659874\pi$
$110$	15.2605	+	22.3604i	1.45504	+	2.13198i
$111$	−11.7712	−	3.45633i	−1.11727	−	0.328060i
$112$	−10.1840	+	2.87852i	−0.962299	+	0.271995i
$113$	0.793277	−	5.51736i	0.0746252	−	0.519030i	−0.917883	−	0.396851i	$-0.870103\pi$
$113$	0.793277	−	5.51736i	0.0746252	−	0.519030i	0.992508	−	0.122179i	$-0.0389881\pi$
$114$	−13.7177	−	1.58629i	−1.28478	−	0.148569i
$115$	−10.4344	−	12.8097i	−0.973016	−	1.19451i
$116$	−0.490807	−	0.115050i	−0.0455703	−	0.0106821i
$117$	0.800975	−	1.01852i	0.0740501	−	0.0941624i
$118$	4.33296	−	4.80367i	0.398882	−	0.442214i
$119$	−6.59731	−	10.8682i	−0.604774	−	0.996288i
$120$	−14.8710	+	5.74432i	−1.35753	+	0.524382i
$121$	−4.68589	+	19.3155i	−0.425990	+	1.75595i
$122$	0.597751	+	1.58387i	0.0541179	+	0.143397i
$123$	0.752886	+	7.88458i	0.0678854	+	0.710928i
$124$	−10.5871	−	4.73620i	−0.950752	−	0.425323i
$125$	−3.47924	−	5.41380i	−0.311193	−	0.484225i
$126$	−0.226449	+	1.18800i	−0.0201737	+	0.105836i
$127$	−16.4109	+	2.35953i	−1.45623	+	0.209375i	−0.824522	−	0.565829i	$-0.808556\pi$
$127$	−16.4109	+	2.35953i	−1.45623	+	0.209375i	−0.631711	+	0.775204i	$0.717647\pi$
$128$	−11.0036	−	2.63085i	−0.972588	−	0.232537i
$129$	0.183363	−	0.951376i	0.0161442	−	0.0837640i
$130$	−9.42646	−	17.1054i	−0.826755	−	1.50024i
$131$	14.9676	−	7.71635i	1.30773	−	0.674181i	0.343474	−	0.939162i	$-0.388396\pi$
$131$	14.9676	−	7.71635i	1.30773	−	0.674181i	0.964254	+	0.264981i	$0.0853658\pi$
$132$	−16.2250	−	8.20609i	−1.41220	−	0.714249i
$133$	7.54222	+	13.8728i	0.653993	+	1.20292i
$134$	−8.49677	+	1.04931i	−0.734009	+	0.0906467i
$135$	−1.78047	+	18.6459i	−0.153239	+	1.60479i
$136$	−0.481323	−	13.5832i	−0.0412731	−	1.16475i
$137$	5.66375	+	9.80990i	0.483887	+	0.838116i	0.999829	−	0.0185074i	$-0.00589141\pi$
$137$	5.66375	+	9.80990i	0.483887	+	0.838116i	−0.515942	+	0.856623i	$0.672558\pi$
$138$	10.2902	+	4.15255i	0.875959	+	0.353489i
$139$	1.31706			0.111712			0.0558559	−	0.998439i	$-0.482211\pi$
$139$	1.31706			0.111712			0.0558559	+	0.998439i	$0.482211\pi$
$140$	15.1567	+	10.1281i	1.28098	+	0.855980i
$141$	0.0933083	+	0.204317i	0.00785798	+	0.0172066i
$142$	−3.59089	+	8.47610i	−0.301341	+	0.711298i
$143$	7.28556	−	21.0502i	0.609249	−	1.76031i
$144$	−0.831424	+	0.990103i	−0.0692854	+	0.0825086i
$145$	0.397893	+	0.771805i	0.0330432	+	0.0640949i
$146$	0.447375	−	22.4483i	0.0370250	−	1.85784i
$147$	−10.4350	+	4.71947i	−0.860662	+	0.389255i
$148$	−2.72402	+	14.7474i	−0.223913	+	1.21223i
$149$	−5.03564	−	2.01597i	−0.412535	−	0.165154i	0.156105	−	0.987740i	$-0.450106\pi$
$149$	−5.03564	−	2.01597i	−0.412535	−	0.165154i	−0.568640	+	0.822586i	$0.692530\pi$
$150$	13.9767	+	7.56171i	1.14119	+	0.617411i
$151$	6.79822	−	13.1867i	0.553232	−	1.07312i	−0.431997	−	0.901875i	$-0.642191\pi$
$151$	6.79822	−	13.1867i	0.553232	−	1.07312i	0.985229	−	0.171244i	$-0.0547788\pi$
$152$	−0.205593	+	16.8795i	−0.0166758	+	1.36911i
$153$	−1.41285	−	0.645228i	−0.114222	−	0.0521636i
$154$	3.00094	+	20.5732i	0.241823	+	1.65783i
$155$	5.62844	+	19.1687i	0.452087	+	1.53967i
$156$	11.0898	+	7.00617i	0.887893	+	0.560943i
$157$	−5.30651	+	1.28735i	−0.423506	+	0.102741i	−0.441847	−	0.897090i	$-0.645677\pi$
$157$	−5.30651	+	1.28735i	−0.423506	+	0.102741i	0.0183413	+	0.999832i	$0.494161\pi$
$158$	1.02226	−	4.78848i	0.0813267	−	0.380951i
$159$	−6.99550	−	5.50132i	−0.554779	−	0.436283i
$160$	8.85300	+	17.3609i	0.699891	+	1.37250i
$161$	−2.88701	−	12.3558i	−0.227529	−	0.973771i
$162$	−4.45225	−	10.2867i	−0.349802	−	0.808198i
$163$	6.00746	−	7.63910i	0.470540	−	0.598341i	−0.491625	−	0.870807i	$-0.663597\pi$
$163$	6.00746	−	7.63910i	0.470540	−	0.598341i	0.962165	+	0.272466i	$0.0878394\pi$
$164$	9.49273	−	1.90596i	0.741258	−	0.148831i
$165$	7.38368	+	30.4359i	0.574818	+	2.36943i
$166$	−3.28864	−	4.81865i	−0.255248	−	0.373999i
$167$	−11.4328	+	3.35696i	−0.884694	+	0.259770i	−0.692354	−	0.721558i	$-0.743426\pi$
$167$	−11.4328	+	3.35696i	−0.884694	+	0.259770i	−0.192341	+	0.981328i	$0.561608\pi$
$168$	−12.1987	−	1.04440i	−0.941152	−	0.0805771i
$169$	−1.27558	+	2.79312i	−0.0981213	+	0.214856i
$170$	−17.2624	+	15.8151i	−1.32397	+	1.21296i
$171$	1.71463	+	0.883952i	0.131121	+	0.0675975i
$172$	−1.17987	−	0.103447i	−0.0899640	−	0.00788773i
$173$	5.61425	−	14.0237i	0.426844	−	1.06620i	−0.546624	−	0.837378i	$-0.684087\pi$
$173$	5.61425	−	14.0237i	0.426844	−	1.06620i	0.973467	−	0.228826i	$-0.0734886\pi$
$174$	−0.484239	−	0.325015i	−0.0367101	−	0.0246393i
$175$	−2.12428	−	18.0465i	−0.160580	−	1.36419i
$176$	−7.94003	+	20.7598i	−0.598502	+	1.56483i
$177$	6.65211	−	3.42940i	0.500003	−	0.257770i
$178$	−0.467140	−	0.172176i	−0.0350136	−	0.0129051i
$179$	7.66458	+	2.65274i	0.572878	+	0.198275i	0.598120	−	0.801406i	$-0.295915\pi$
$179$	7.66458	+	2.65274i	0.572878	+	0.198275i	−0.0252423	+	0.999681i	$0.508036\pi$
$180$	2.22694	−	0.0172524i	0.165986	−	0.00128592i
$181$	−8.65077	+	3.95068i	−0.643007	+	0.293651i	−0.710106	−	0.704095i	$-0.751353\pi$
$181$	−8.65077	+	3.95068i	−0.643007	+	0.293651i	0.0670989	+	0.997746i	$0.478626\pi$
$182$	−0.744358	−	14.9811i	−0.0551755	−	1.11048i
$183$			1.95851i			0.144777i
$184$	3.75664	−	13.0341i	0.276943	−	0.960886i
$185$	22.3713	−	12.9161i	1.64477	−	0.949610i
$186$	−9.52452	−	9.45102i	−0.698372	−	0.692983i
$187$	−26.5807	−	2.53815i	−1.94377	−	0.185608i
$188$	0.236719	−	0.139126i	0.0172645	−	0.0101468i
$189$	−7.50945	+	12.2695i	−0.546232	+	0.892476i
$190$	22.3500	−	18.5998i	1.62144	−	1.34937i
$191$	0.400515	+	0.776891i	0.0289803	+	0.0562139i	0.902881	−	0.429890i	$-0.141448\pi$
$191$	0.400515	+	0.776891i	0.0289803	+	0.0562139i	−0.873901	+	0.486104i	$0.838418\pi$
$192$	−10.8353	−	7.34237i	−0.781969	−	0.529890i
$193$	−21.2699	−	4.09944i	−1.53104	−	0.295084i	−0.646998	−	0.762491i	$-0.723976\pi$
$193$	−21.2699	−	4.09944i	−1.53104	−	0.295084i	−0.884042	+	0.467408i	$0.845188\pi$
$194$	−4.52402	−	9.22204i	−0.324806	−	0.662104i
$195$	−3.21560	−	22.3650i	−0.230274	−	1.60159i
$196$	7.04955	+	12.0956i	0.503539	+	0.863973i
$197$	−21.0232	+	13.5108i	−1.49784	+	0.962602i	−0.502664	+	0.864482i	$0.667647\pi$
$197$	−21.0232	+	13.5108i	−1.49784	+	0.962602i	−0.995175	+	0.0981200i	$0.968717\pi$
$198$	1.71580	+	1.87281i	0.121936	+	0.133095i
$199$	8.55467	−	0.816872i	0.606424	−	0.0579065i	0.212673	−	0.977123i	$-0.431783\pi$
$199$	8.55467	−	0.816872i	0.606424	−	0.0579065i	0.393751	+	0.919217i	$0.371177\pi$
$200$	7.43893	−	17.9450i	0.526012	−	1.26890i
$201$	−9.62529	−	2.33507i	−0.678915	−	0.164703i
$202$	22.3158	+	10.7337i	1.57013	+	0.755220i
$203$	0.0146515	+	0.666716i	0.00102833	+	0.0467943i
$204$	5.02757	−	14.8987i	0.352000	−	1.04311i
$205$	−13.1095	−	10.3094i	−0.915604	−	0.720039i
$206$	15.1862	−	20.4510i	1.05807	−	1.42489i
$207$	−1.14007	−	1.05029i	−0.0792407	−	0.0730003i
$208$	7.12608	−	14.3648i	0.494105	−	0.996023i
$209$	32.8255	+	4.71960i	2.27059	+	0.326461i
$210$	12.2680	+	17.1537i	0.846575	+	1.18372i
$211$	−0.104038	+	0.354322i	−0.00716230	+	0.0243926i	−0.962997	−	0.269514i	$-0.913137\pi$
$211$	−0.104038	+	0.354322i	−0.00716230	+	0.0243926i	0.955834	+	0.293906i	$0.0949553\pi$
$212$	−5.81058	+	9.19733i	−0.399072	+	0.631675i
$213$	−7.34905	+	7.70746i	−0.503548	+	0.528106i
$214$	−4.29209	−	11.3728i	−0.293401	−	0.777429i
$215$	1.18339	+	1.66183i	0.0807062	+	0.113336i
$216$	−13.4107	+	7.52642i	−0.912484	+	0.512108i
$217$	−2.57198	+	15.1259i	−0.174598	+	1.02681i
$218$	6.45080	−	3.96632i	0.436904	−	0.268633i
$219$	9.65406	−	24.1147i	0.652361	−	1.62952i
$220$	36.0812	−	12.8017i	2.43260	−	0.863090i
$221$	18.9158	+	3.64572i	1.27242	+	0.245238i
$222$	−8.97252	+	14.8495i	−0.602196	+	0.996631i
$223$	−6.96062	−	4.47332i	−0.466118	−	0.299556i	0.286421	−	0.958104i	$-0.407534\pi$
$223$	−6.96062	−	4.47332i	−0.466118	−	0.299556i	−0.752538	+	0.658548i	$0.771171\pi$
$224$	0.262495	+	14.9643i	0.0175387	+	0.999846i
$225$	−1.45373	−	1.67770i	−0.0969154	−	0.111846i
$226$	−7.25846	−	3.07504i	−0.482826	−	0.204549i
$227$	−0.156503	+	0.219777i	−0.0103874	+	0.0145871i	−0.819737	−	0.572740i	$-0.805880\pi$
$227$	−0.156503	+	0.219777i	−0.0103874	+	0.0145871i	0.809350	+	0.587327i	$0.199820\pi$
$228$	−7.11756	+	18.1859i	−0.471372	+	1.20439i
$229$	11.1261	+	6.42364i	0.735231	+	0.424486i	0.820333	−	0.571886i	$-0.193788\pi$
$229$	11.1261	+	6.42364i	0.735231	+	0.424486i	−0.0851016	+	0.996372i	$0.527121\pi$
$230$	−21.2804	+	9.64755i	−1.40319	+	0.636141i
$231$	−5.15572	+	23.4936i	−0.339222	+	1.54577i
$232$	−0.334373	+	0.629644i	−0.0219526	+	0.0413382i
$233$	−12.3705	−	1.18124i	−0.810421	−	0.0773858i	−0.318386	−	0.947961i	$-0.603141\pi$
$233$	−12.3705	−	1.18124i	−0.810421	−	0.0773858i	−0.492035	+	0.870575i	$0.663747\pi$
$234$	−1.10382	−	1.46269i	−0.0721592	−	0.0956192i
$235$	−0.446945	−	0.154689i	−0.0291554	−	0.0100908i
$236$	−5.00567	−	7.65787i	−0.325841	−	0.498485i
$237$	3.06249	−	4.76533i	0.198930	−	0.309542i
$238$	−17.2414	+	5.10087i	−1.11759	+	0.330640i
$239$	−5.30650	−	4.59811i	−0.343249	−	0.297427i	0.466127	−	0.884718i	$-0.345649\pi$
$239$	−5.30650	−	4.59811i	−0.343249	−	0.297427i	−0.809376	+	0.587291i	$0.800194\pi$
$240$	2.49053	+	22.4073i	0.160763	+	1.44638i
$241$	−6.91051	−	8.78743i	−0.445145	−	0.566048i	0.510760	−	0.859723i	$-0.329364\pi$
$241$	−6.91051	−	8.78743i	−0.445145	−	0.566048i	−0.955905	+	0.293675i	$0.905122\pi$
$242$	24.7223	+	13.3753i	1.58921	+	0.859800i
$243$	0.159107	+	3.34006i	0.0102067	+	0.214265i
$244$	2.38146	−	0.246034i	0.152458	−	0.0157507i
$245$	7.97050	−	22.7597i	0.509217	−	1.45407i
$246$	11.0532	+	1.81469i	0.704727	+	0.115701i
$247$	−23.2511	−	5.64066i	−1.47943	−	0.358907i
$248$	−10.2955	+	12.7687i	−0.653768	+	0.810812i
$249$	−1.59118	−	6.55893i	−0.100837	−	0.415655i
$250$	−8.65808	+	2.80470i	−0.547585	+	0.177385i
$251$	−0.0539240	+	0.375050i	−0.00340365	+	0.0236729i	−0.991452	−	0.130468i	$-0.958352\pi$
$251$	−0.0539240	+	0.375050i	−0.00340365	+	0.0236729i	0.988049	+	0.154141i	$0.0492610\pi$
$252$	1.54282	+	0.738203i	0.0971888	+	0.0465024i
$253$	−24.4268	−	10.6524i	−1.53570	−	0.669713i
$254$	−2.69343	+	23.2920i	−0.169001	+	1.46147i
$255$	−25.1446	+	10.0664i	−1.57462	+	0.630381i
$256$	−7.56685	+	14.0976i	−0.472928	+	0.881101i
$257$	−2.94630	−	3.08999i	−0.183785	−	0.192748i	0.625396	−	0.780308i	$-0.284937\pi$
$257$	−2.94630	−	3.08999i	−0.183785	−	0.192748i	−0.809181	+	0.587559i	$0.800089\pi$
$258$	−1.23480	−	0.593927i	−0.0768752	−	0.0369763i
$259$	19.7910	−	1.37913i	1.22976	−	0.0856948i
$260$	−26.7909	+	6.71959i	−1.66150	+	0.416731i
$261$	0.0472574	+	0.0663637i	0.00292516	+	0.00410781i
$262$	−5.15230	−	23.2508i	−0.318310	−	1.43644i
$263$	9.49285	−	18.4136i	0.585354	−	1.13543i	−0.391230	−	0.920293i	$-0.627950\pi$
$263$	9.49285	−	18.4136i	0.585354	−	1.13543i	0.976584	−	0.215136i	$-0.0690194\pi$
$264$	−17.0741	+	19.2264i	−1.05084	+	1.18330i
$265$	18.5484	−	2.66686i	1.13942	−	0.163824i
$266$	21.6908	−	5.30914i	1.32995	−	0.325524i
$267$	−0.435287	−	0.377179i	−0.0266392	−	0.0230830i
$268$	−1.63019	+	11.9973i	−0.0995796	+	0.732851i
$269$	−2.08104	−	0.0991319i	−0.126883	−	0.00604418i	−0.0159556	−	0.999873i	$-0.505079\pi$
$269$	−2.08104	−	0.0991319i	−0.126883	−	0.00604418i	−0.110927	+	0.993829i	$0.535382\pi$
$270$	24.8548	+	9.16085i	1.51261	+	0.557511i
$271$	−21.8612	+	4.21341i	−1.32798	+	0.255946i	−0.803412	−	0.595424i	$-0.796984\pi$
$271$	−21.8612	+	4.21341i	−1.32798	+	0.255946i	−0.524565	+	0.851371i	$0.675772\pi$
$272$	−18.7477	−	4.24170i	−1.13675	−	0.257191i
$273$	5.31392	−	16.5192i	0.321613	−	0.999788i
$274$	15.4575	−	4.20606i	0.933820	−	0.254097i
$275$	−33.0501	−	19.0815i	−1.99299	−	1.15066i
$276$	9.39033	−	12.5732i	0.565232	−	0.756817i
$277$	−10.9581	−	18.9799i	−0.658406	−	1.14039i	−0.981028	−	0.193865i	$-0.937898\pi$
$277$	−10.9581	−	18.9799i	−0.658406	−	1.14039i	0.322622	−	0.946528i	$-0.395436\pi$
$278$	0.475106	−	1.80099i	0.0284949	−	0.108016i
$279$	0.778657	+	1.70502i	0.0466170	+	0.102077i
$280$	19.3170	−	17.0723i	1.15441	−	1.02027i
$281$	1.68845	+	1.94857i	0.100724	+	0.116242i	0.803874	−	0.594800i	$-0.202769\pi$
$281$	1.68845	+	1.94857i	0.100724	+	0.116242i	−0.703149	+	0.711042i	$0.748223\pi$
$282$	0.313049	−	0.0538894i	0.0186418	−	0.00320907i
$283$	−0.470147	+	9.86960i	−0.0279473	+	0.586687i	0.940849	+	0.338827i	$0.110030\pi$
$283$	−0.470147	+	9.86960i	−0.0279473	+	0.586687i	−0.968796	+	0.247860i	$0.920273\pi$
$284$	10.2952	+	7.96789i	0.610905	+	0.472808i
$285$	31.7888	−	11.0022i	1.88300	−	0.651714i
$286$	−26.1567	−	17.5560i	−1.54668	−	1.03811i
$287$	−5.57546	−	11.5311i	−0.329109	−	0.680662i
$288$	1.05398	+	1.49408i	0.0621063	+	0.0880394i
$289$	−0.289859	−	6.08489i	−0.0170505	−	0.357935i
$290$	1.19892	−	0.265678i	0.0704032	−	0.0156011i
$291$	−1.12960	−	11.8297i	−0.0662181	−	0.693468i
$292$	−30.5352	−	8.70957i	−1.78694	−	0.509689i
$293$	−0.141859	−	0.483126i	−0.00828747	−	0.0282245i	0.955245	−	0.295814i	$-0.0955910\pi$
$293$	−0.141859	−	0.483126i	−0.00828747	−	0.0282245i	−0.963533	+	0.267590i	$0.913773\pi$
$294$	2.68933	+	15.9716i	0.156845	+	0.931482i
$295$	−4.43975	+	15.1204i	−0.258492	+	0.880344i
$296$	19.1835	+	9.04477i	1.11502	+	0.525717i
$297$	11.2285	+	28.0475i	0.651546	+	1.62748i
$298$	−4.57321	+	6.15867i	−0.264919	+	0.356762i
$299$	16.8124	+	9.32557i	0.972288	+	0.539312i
$300$	15.3820	−	16.3844i	0.888078	−	0.945955i
$301$	0.256999	+	1.54558i	0.0148132	+	0.0890860i
$302$	−15.5796	−	14.0530i	−0.896506	−	0.808658i
$303$	19.7694	+	20.7335i	1.13572	+	1.19111i
$304$	23.0074	+	6.37009i	1.31956	+	0.365350i
$305$	−2.98461	−	2.84582i	−0.170898	−	0.162951i
$306$	−1.39197	+	1.69923i	−0.0795734	+	0.0971384i
$307$	0.693689	−	1.51897i	0.0395909	−	0.0866920i	−0.888803	−	0.458289i	$-0.848462\pi$
$307$	0.693689	−	1.51897i	0.0395909	−	0.0866920i	0.928394	+	0.371597i	$0.121190\pi$
$308$	29.2150	+	3.31780i	1.66468	+	0.189049i
$309$	24.7910	−	15.9322i	1.41031	−	0.906353i
$310$	28.2423	−	0.781760i	1.60405	−	0.0444010i
$311$	0.237768	−	0.186983i	0.0134826	−	0.0106028i	−0.611395	−	0.791326i	$-0.709391\pi$
$311$	0.237768	−	0.186983i	0.0134826	−	0.0106028i	0.624878	+	0.780723i	$0.285149\pi$
$312$	13.5809	−	12.6372i	0.768867	−	0.715440i
$313$	8.36591	−	2.89547i	0.472869	−	0.163662i	−0.0802310	−	0.996776i	$-0.525566\pi$
$313$	8.36591	−	2.89547i	0.472869	−	0.163662i	0.553100	+	0.833115i	$0.313445\pi$
$314$	−0.153866	+	7.72069i	−0.00868318	+	0.435704i
$315$	−0.757292	−	2.84706i	−0.0426686	−	0.160414i
$316$	−6.17916	−	3.12523i	−0.347605	−	0.175808i
$317$	17.8559	−	3.44145i	1.00289	−	0.193291i	0.338731	−	0.940883i	$-0.390002\pi$
$317$	17.8559	−	3.44145i	1.00289	−	0.193291i	0.664158	+	0.747592i	$0.268790\pi$
$318$	−10.0462	+	7.58138i	−0.563362	+	0.425143i
$319$	1.14087	+	0.812411i	0.0638766	+	0.0454863i
$320$	26.9335	−	5.84325i	1.50563	−	0.326647i
$321$		−	14.0629i		−	0.784912i
$322$	−17.9371	−	0.509319i	−0.999597	−	0.0283832i
$323$			28.6797i			1.59578i
$324$	−15.6724	+	2.37742i	−0.870690	+	0.132079i
$325$	22.4275	+	15.9705i	1.24405	+	0.885886i
$326$	−8.27888	−	10.9705i	−0.458525	−	0.607597i
$327$	8.60235	−	1.65797i	0.475711	−	0.0916858i
$328$	0.818052	−	13.6682i	0.0451694	−	0.754701i
$329$	−0.256372	−	0.257311i	−0.0141343	−	0.0141860i
$330$	44.2826	+	0.882512i	2.43768	+	0.0485807i
$331$	22.3543	−	7.73690i	1.22870	−	0.425258i	0.365832	−	0.930681i	$-0.380785\pi$
$331$	22.3543	−	7.73690i	1.22870	−	0.425258i	0.862872	+	0.505423i	$0.168663\pi$
$332$	−7.77549	+	2.75876i	−0.426735	+	0.151407i
$333$	1.90514	−	1.49821i	0.104401	−	0.0821017i
$334$	0.466264	+	16.8445i	0.0255129	+	0.921691i
$335$	17.5445	−	11.2752i	0.958560	−	0.616029i
$336$	−5.82861	+	16.3042i	−0.317977	+	0.889466i
$337$	−9.91614	+	21.7133i	−0.540167	+	1.18280i	0.421058	+	0.907034i	$0.361659\pi$
$337$	−9.91614	+	21.7133i	−0.540167	+	1.18280i	−0.961225	+	0.275766i	$0.911068\pi$
$338$	3.35927	+	2.75183i	0.182720	+	0.149680i
$339$	−6.60024	−	6.29332i	−0.358476	−	0.341806i
$340$	15.3990	+	29.3102i	0.835129	+	1.58957i
$341$	22.2366	+	23.3211i	1.20418	+	1.26291i
$342$	1.82726	−	2.02577i	0.0988071	−	0.109541i
$343$	13.1674	−	13.0238i	0.710974	−	0.703219i
$344$	−0.567071	+	1.57607i	−0.0305744	+	0.0849762i
$345$	−26.9742	+	1.74949i	−1.45224	+	0.0941891i
$346$	−17.1513	−	12.7359i	−0.922058	−	0.684687i
$347$	−0.236087	−	0.589718i	−0.0126738	−	0.0316577i	0.921896	−	0.387437i	$-0.126640\pi$
$347$	−0.236087	−	0.589718i	−0.0126738	−	0.0316577i	−0.934570	+	0.355780i	$0.884215\pi$
$348$	−0.619116	+	0.544922i	−0.0331881	+	0.0292109i
$349$	6.82040	−	23.2281i	0.365087	−	1.24337i	−0.548300	−	0.836282i	$-0.684725\pi$
$349$	6.82040	−	23.2281i	0.365087	−	1.24337i	0.913387	−	0.407092i	$-0.133457\pi$
$350$	−25.4437	−	3.60514i	−1.36002	−	0.192703i
$351$	−6.14071	−	20.9133i	−0.327767	−	1.11627i
$352$	25.5234	+	18.3462i	1.36040	+	0.977854i
$353$	−1.44651	−	15.1485i	−0.0769900	−	0.806276i	−0.948684	−	0.316225i	$-0.897584\pi$
$353$	−1.44651	−	15.1485i	−0.0769900	−	0.806276i	0.871694	−	0.490050i	$-0.163022\pi$
$354$	−2.28985	−	10.3334i	−0.121704	−	0.549214i
$355$	−1.06698	−	22.3987i	−0.0566296	−	1.18880i
$356$	−0.403951	+	0.576673i	−0.0214094	+	0.0305636i
$357$	−20.7452	−	1.52185i	−1.09795	−	0.0805447i
$358$	6.39230	−	9.52388i	0.337843	−	0.503353i
$359$	33.4349	−	11.5719i	1.76463	−	0.610744i	0.765175	−	0.643822i	$-0.222652\pi$
$359$	33.4349	−	11.5719i	1.76463	−	0.610744i	0.999453	+	0.0330784i	$0.0105311\pi$
$360$	0.779736	−	3.05142i	0.0410957	−	0.160824i
$361$	0.790803	−	16.6010i	0.0416212	−	0.873737i
$362$	2.28168	+	13.2545i	0.119922	+	0.696640i
$363$	21.2951	+	24.5758i	1.11770	+	1.28990i
$364$	−20.7542	−	4.38631i	−1.08782	−	0.229905i
$365$	22.7210	+	49.7520i	1.18927	+	2.60414i
$366$	2.67813	+	0.706495i	0.139988	+	0.0369291i
$367$	−0.102592	−	0.177694i	−0.00535525	−	0.00927557i	0.863335	−	0.504631i	$-0.168371\pi$
$367$	−0.102592	−	0.177694i	−0.00535525	−	0.00927557i	−0.868691	+	0.495355i	$0.835038\pi$
$368$	−16.4681	−	9.83876i	−0.858460	−	0.512881i
$369$	−1.35512	−	0.782376i	−0.0705445	−	0.0407289i
$370$	−9.59185	−	35.2505i	−0.498656	−	1.83259i
$371$	13.7002	+	4.40711i	0.711281	+	0.228806i
$372$	−16.3594	+	9.61487i	−0.848197	+	0.498508i
$373$	−23.5292	+	4.53487i	−1.21829	+	0.234807i	−0.757580	−	0.652742i	$-0.773619\pi$
$373$	−23.5292	+	4.53487i	−1.21829	+	0.234807i	−0.460714	+	0.887549i	$0.652406\pi$
$374$	−13.0593	+	35.4318i	−0.675278	+	1.83213i
$375$	−10.5169	−	0.500983i	−0.543092	−	0.0258707i
$376$	−0.104853	−	0.373884i	−0.00540740	−	0.0192816i
$377$	−0.763643	−	0.661701i	−0.0393296	−	0.0340793i
$378$	14.0688	+	14.6947i	0.723623	+	0.755812i
$379$	−28.5849	+	4.10989i	−1.46831	+	0.211111i	−0.829609	−	0.558345i	$-0.811436\pi$
$379$	−28.5849	+	4.10989i	−1.46831	+	0.211111i	−0.638699	+	0.769456i	$0.720527\pi$
$380$	−17.3716	−	37.2717i	−0.891145	−	1.91200i
$381$	−12.4297	+	24.1103i	−0.636795	+	1.23521i
$382$	1.20683	−	0.267429i	0.0617466	−	0.0136828i
$383$	14.2661	+	20.0339i	0.728962	+	1.02368i	0.998162	+	0.0605992i	$0.0193012\pi$
$383$	14.2661	+	20.0339i	0.728962	+	1.02368i	−0.269201	+	0.963084i	$0.586759\pi$
$384$	−13.9488	+	12.1679i	−0.711823	+	0.620941i
$385$	−28.3109	−	41.9945i	−1.44286	−	2.14024i
$386$	−13.2784	+	27.6064i	−0.675854	+	1.40513i
$387$	0.132089	+	0.138531i	0.00671447	+	0.00704193i
$388$	−14.2425	+	2.85962i	−0.723052	+	0.145175i
$389$	−7.54315	+	3.01982i	−0.382453	+	0.153111i	−0.554919	−	0.831904i	$-0.687251\pi$
$389$	−7.54315	+	3.01982i	−0.382453	+	0.153111i	0.172466	+	0.985015i	$0.444826\pi$
$390$	−31.7426	−	3.67064i	−1.60735	−	0.185870i
$391$	6.11222	−	22.2205i	0.309108	−	1.12374i
$392$	19.0829	−	5.27651i	0.963834	−	0.266504i
$393$	3.92092	−	27.2706i	0.197784	−	1.37562i
$394$	10.8914	+	33.6215i	0.548698	+	1.69383i
$395$	2.81202	+	11.5913i	0.141488	+	0.583221i
$396$	3.17989	−	1.67065i	0.159795	−	0.0839535i
$397$	34.3522	+	8.33375i	1.72409	+	0.418259i	0.970888	−	0.239533i	$-0.0769943\pi$
$397$	34.3522	+	8.33375i	1.72409	+	0.418259i	0.753200	+	0.657792i	$0.228509\pi$
$398$	1.96892	−	11.9926i	0.0986930	−	0.601135i
$399$	25.6462	+	3.11394i	1.28392	+	0.155892i
$400$	−21.8551	−	16.6455i	−1.09275	−	0.832277i
$401$	−1.16684	−	24.4951i	−0.0582694	−	1.22322i	−0.818860	−	0.573993i	$-0.805394\pi$
$401$	−1.16684	−	24.4951i	−0.0582694	−	1.22322i	0.760591	−	0.649232i	$-0.224909\pi$
$402$	−6.66519	+	12.3196i	−0.332430	+	0.614446i
$403$	−14.3707	−	18.2738i	−0.715855	−	0.910284i
$404$	22.7276	−	26.6433i	1.13074	−	1.32556i
$405$	20.6354	+	17.8807i	1.02538	+	0.888499i
$406$	0.916974	+	0.220470i	0.0455087	+	0.0109418i
$407$	22.5263	−	35.0516i	1.11659	−	1.73744i
$408$	−18.5593	−	12.2493i	−0.918823	−	0.606430i
$409$	−36.5586	−	12.6530i	−1.80771	−	0.625653i	−0.999315	−	0.0370064i	$-0.988218\pi$
$409$	−36.5586	−	12.6530i	−1.80771	−	0.625653i	−0.808391	−	0.588647i	$-0.799661\pi$
$410$	−18.8264	+	14.2074i	−0.929769	+	0.701652i
$411$	18.4488	+	1.76165i	0.910014	+	0.0868958i
$412$	−22.4872	−	28.1434i	−1.10787	−	1.38653i
$413$	−8.15734	+	8.94049i	−0.401396	+	0.439933i
$414$	−1.84746	+	1.18010i	−0.0907979	+	0.0579989i
$415$	12.3074	+	7.10566i	0.604144	+	0.348803i
$416$	−17.0724	−	14.9263i	−0.837041	−	0.731821i
$417$	1.24992	−	1.75527i	0.0612089	−	0.0859559i
$418$	18.2949	−	43.1842i	0.894834	−	2.11221i
$419$	11.4745	+	13.2423i	0.560568	+	0.646930i	0.963312	−	0.268383i	$-0.0864891\pi$
$419$	11.4745	+	13.2423i	0.560568	+	0.646930i	−0.402744	+	0.915312i	$0.631944\pi$
$420$	27.8820	−	10.5878i	1.36050	−	0.516634i
$421$	25.5233	+	16.4028i	1.24393	+	0.799426i	0.986001	−	0.166738i	$-0.0533235\pi$
$421$	25.5233	+	16.4028i	1.24393	+	0.799426i	0.257929	+	0.966164i	$0.416960\pi$
$422$	0.446982	+	0.270081i	0.0217588	+	0.0131473i
$423$	−0.0435727	−	0.00839795i	−0.00211858	−	0.000408322i
$424$	10.4807	+	11.2633i	0.508986	+	0.546996i
$425$	12.2662	−	30.6395i	0.594998	−	1.48623i
$426$	7.88840	+	12.8296i	0.382194	+	0.621598i
$427$	−1.10138	−	2.96948i	−0.0532994	−	0.143703i
$428$	−17.0998	+	1.76662i	−0.826552	+	0.0853927i
$429$	−21.1398	−	29.6868i	−1.02064	−	1.43329i
$430$	2.69933	−	1.01872i	0.130173	−	0.0491273i
$431$	−1.37538	+	1.44246i	−0.0662497	+	0.0694807i	−0.756025	−	0.654543i	$-0.772861\pi$
$431$	−1.37538	+	1.44246i	−0.0662497	+	0.0694807i	0.689775	+	0.724024i	$0.257709\pi$
$432$	5.45420	+	21.0533i	0.262415	+	1.01293i
$433$	5.68102	−	19.3478i	0.273012	−	0.929795i	−0.702837	−	0.711351i	$-0.748084\pi$
$433$	5.68102	−	19.3478i	0.273012	−	0.929795i	0.975849	−	0.218444i	$-0.0700981\pi$
$434$	19.7559	+	8.97340i	0.948311	+	0.430737i
$435$	1.40621	+	0.202182i	0.0674224	+	0.00969388i
$436$	−3.09667	−	10.2518i	−0.148304	−	0.490973i
$437$	−8.89585	+	27.2051i	−0.425546	+	1.30140i
$438$	−29.4927	−	21.9002i	−1.40921	−	1.04643i
$439$	5.54179	+	4.35811i	0.264495	+	0.208001i	0.741595	−	0.670848i	$-0.234070\pi$
$439$	5.54179	+	4.35811i	0.264495	+	0.208001i	−0.477100	+	0.878849i	$0.658312\pi$
$440$	−4.48982	−	53.9566i	−0.214044	−	2.57228i
$441$	0.436312	−	2.22009i	0.0207767	−	0.105719i
$442$	11.8088	−	24.5510i	0.561688	−	1.16777i
$443$	−21.4652	−	5.20739i	−1.01984	−	0.247411i	−0.309223	−	0.950990i	$-0.600069\pi$
$443$	−21.4652	−	5.20739i	−1.01984	−	0.247411i	−0.710617	+	0.703579i	$0.751584\pi$
$444$	17.0690	+	17.6260i	0.810058	+	0.836493i
$445$	1.20729	−	0.115282i	0.0572309	−	0.00546489i
$446$	−8.62788	+	7.90451i	−0.408542	+	0.374290i
$447$	−7.46564	+	4.79788i	−0.353113	+	0.226932i
$448$	20.5574	+	5.03916i	0.971246	+	0.238078i
$449$	4.31877	+	30.0377i	0.203815	+	1.41757i	0.792829	+	0.609444i	$0.208607\pi$
$449$	4.31877	+	30.0377i	0.203815	+	1.41757i	−0.589014	+	0.808123i	$0.700484\pi$
$450$	−2.81854	+	1.38268i	−0.132867	+	0.0651803i
$451$	−26.4139	−	5.09086i	−1.24378	−	0.239719i
$452$	−6.82327	+	8.81620i	−0.320939	+	0.414679i
$453$	−11.1225	−	21.5746i	−0.522580	−	1.01366i
$454$	0.244075	+	0.293287i	0.0114550	+	0.0137647i
$455$	17.4526	+	32.1013i	0.818188	+	1.50493i
$456$	22.3004	+	16.2930i	1.04431	+	0.762989i
$457$	5.21748	+	0.498209i	0.244064	+	0.0233053i	0.216371	−	0.976311i	$-0.430578\pi$
$457$	5.21748	+	0.498209i	0.244064	+	0.0233053i	0.0276927	+	0.999616i	$0.491184\pi$
$458$	12.7974	−	12.8969i	0.597984	−	0.602635i
$459$	−22.6269	+	13.0636i	−1.05613	+	0.609759i
$460$	5.51588	+	32.5797i	0.257179	+	1.51903i
$461$			23.7160i			1.10456i	0.833658	+	0.552282i	$0.186243\pi$
$461$			23.7160i			1.10456i	−0.833658	+	0.552282i	$0.813757\pi$
$462$	30.2662	+	15.5250i	1.40811	+	0.722288i
$463$	−2.45008	+	1.11891i	−0.113865	+	0.0520004i	−0.471533	−	0.881848i	$-0.656299\pi$
$463$	−2.45008	+	1.11891i	−0.113865	+	0.0520004i	0.357668	+	0.933849i	$0.383572\pi$
$464$	0.740377	+	0.684365i	0.0343711	+	0.0317708i
$465$	30.8880	+	10.6904i	1.43239	+	0.495757i
$466$	−6.07771	+	16.4898i	−0.281545	+	0.763874i
$467$	15.9881	−	8.24244i	0.739841	−	0.381414i	−0.0467357	−	0.998907i	$-0.514882\pi$
$467$	15.9881	−	8.24244i	0.739841	−	0.381414i	0.786576	+	0.617493i	$0.211852\pi$
$468$	−2.39832	+	0.981766i	−0.110862	+	0.0453822i
$469$	15.9069	−	1.87242i	0.734514	−	0.0864604i
$470$	−0.372754	+	0.555366i	−0.0171939	+	0.0256171i
$471$	−3.32034	+	8.29380i	−0.152993	+	0.382158i
$472$	−12.2773	+	4.08248i	−0.565110	+	0.187911i
$473$	2.92480	+	1.50784i	0.134482	+	0.0693305i
$474$	−5.41153	−	5.90676i	−0.248560	−	0.271306i
$475$	−17.0279	+	37.2859i	−0.781293	+	1.71079i
$476$	0.755577	+	25.4165i	0.0346318	+	1.16496i
$477$	1.68696	−	0.495337i	0.0772407	−	0.0226799i
$478$	−8.20183	+	5.59760i	−0.375143	+	0.256028i
$479$	−8.86380	−	36.5371i	−0.404997	−	1.66942i	−0.700169	−	0.713977i	$-0.746892\pi$
$479$	−8.86380	−	36.5371i	−0.404997	−	1.66942i	0.295172	−	0.955444i	$-0.404623\pi$
$480$	31.5389	+	4.67738i	1.43955	+	0.213492i
$481$	−18.5818	+	23.6287i	−0.847257	+	1.07738i
$482$	−14.5091	+	6.27976i	−0.660870	+	0.286035i
$483$	−19.2066	−	7.87834i	−0.873930	−	0.358477i
$484$	27.2080	−	28.9812i	1.23673	−	1.31733i
$485$	19.6688	+	15.4678i	0.893116	+	0.702354i
$486$	4.62471	+	0.987298i	0.209781	+	0.0447847i
$487$	−8.86112	+	2.14968i	−0.401536	+	0.0974115i	−0.431441	−	0.902141i	$-0.641995\pi$
$487$	−8.86112	+	2.14968i	−0.401536	+	0.0974115i	0.0299052	+	0.999553i	$0.490479\pi$
$488$	0.522634	−	3.34524i	0.0236585	−	0.151432i
$489$	−4.47954	−	15.2559i	−0.202572	−	0.689896i
$490$	−28.2472	−	19.1093i	−1.27608	−	0.863269i
$491$	−33.3189	−	15.2162i	−1.50366	−	0.686699i	−0.517992	−	0.855386i	$-0.673320\pi$
$491$	−33.3189	−	15.2162i	−1.50366	−	0.686699i	−0.985670	+	0.168687i	$0.946047\pi$
$492$	6.46871	−	14.4599i	0.291632	−	0.651903i
$493$	−0.555016	+	1.07658i	−0.0249967	+	0.0484868i
$494$	−16.1006	+	29.7596i	−0.724402	+	1.33895i
$495$	−5.74409	−	2.29958i	−0.258177	−	0.103359i
$496$	13.7464	+	18.6845i	0.617231	+	0.838960i
$497$	6.80824	−	15.8188i	0.305391	−	0.709569i
$498$	−9.54288	−	0.190181i	−0.427627	−	0.00852221i
$499$	5.04264	+	9.78135i	0.225739	+	0.437873i	0.974319	−	0.225171i	$-0.0722942\pi$
$499$	5.04264	+	9.78135i	0.225739	+	0.437873i	−0.748580	+	0.663045i	$0.769264\pi$
$500$	0.711994	+	12.8511i	0.0318414	+	0.574718i
$501$	−6.37608	+	18.4225i	−0.284862	+	0.823056i
$502$	0.493403	+	0.209030i	0.0220217	+	0.00932945i
$503$	−16.2105	−	35.4960i	−0.722790	−	1.58269i	−0.809952	−	0.586496i	$-0.800507\pi$
$503$	−16.2105	−	35.4960i	−0.722790	−	1.58269i	0.0871620	−	0.996194i	$-0.472220\pi$
$504$	1.56599	−	1.84342i	0.0697546	−	0.0821122i
$505$	−60.3223			−2.68431
$506$	−23.3780	+	29.5593i	−1.03928	+	1.31407i
$507$	2.51189	+	4.35072i	0.111557	+	0.193222i
$508$	30.8786	+	12.0852i	1.37002	+	0.536195i
$509$	−3.23938	+	33.9243i	−0.143583	+	1.50367i	0.580674	+	0.814136i	$0.302789\pi$
$509$	−3.23938	+	33.9243i	−0.143583	+	1.50367i	−0.724257	+	0.689531i	$0.757817\pi$
$510$	4.69465	+	38.0148i	0.207883	+	1.68332i
$511$	−1.07639	+	41.9915i	−0.0476165	+	1.85760i
$512$	16.5479	+	15.4326i	0.731323	+	0.682031i
$513$	28.8425	−	14.8693i	1.27343	−	0.656497i
$514$	−5.28818	+	2.91421i	−0.233252	+	0.128540i
$515$	−11.7433	+	60.9300i	−0.517471	+	2.68490i
$516$	−1.25759	+	1.47426i	−0.0553621	+	0.0649005i
$517$	−0.755088	+	0.108565i	−0.0332087	+	0.00477470i
$518$	5.25339	−	27.5604i	0.230820	−	1.21094i
$519$	−13.3616	−	20.7910i	−0.586509	−	0.912625i
$520$	−0.475739	+	39.0588i	−0.0208625	+	1.71284i
$521$	−1.85833	−	19.4614i	−0.0814151	−	0.852617i	−0.940277	−	0.340410i	$-0.889434\pi$
$521$	−1.85833	−	19.4614i	−0.0814151	−	0.852617i	0.858862	−	0.512207i	$-0.171172\pi$
$522$	0.107795	−	0.0406818i	0.00471806	−	0.00178059i
$523$	−7.71034	+	31.7824i	−0.337150	+	1.38975i	0.510812	+	0.859692i	$0.329345\pi$
$523$	−7.71034	+	31.7824i	−0.337150	+	1.38975i	−0.847962	+	0.530057i	$0.822170\pi$
$524$	−33.6524	−	1.34186i	−1.47011	−	0.0586194i
$525$	−26.0669	−	14.2955i	−1.13765	−	0.623907i
$526$	−21.7549	−	19.6232i	−0.948560	−	0.855611i
$527$	−17.2262	+	21.9049i	−0.750387	+	0.954194i
$528$	20.1316	+	30.2833i	0.876116	+	1.31791i
$529$	12.6903	−	19.1822i	0.551753	−	0.834008i
$530$	3.04425	−	26.3258i	0.132234	−	1.14352i
$531$	−0.210419	+	1.46350i	−0.00913140	+	0.0635103i
$532$	0.564663	−	31.5759i	0.0244812	−	1.36899i
$533$	18.6209	+	5.46760i	0.806562	+	0.236828i
$534$	−0.672788	+	0.459166i	−0.0291144	+	0.0198701i
$535$	21.4307	+	20.4341i	0.926529	+	0.883443i
$536$	15.8174	+	6.55697i	0.683208	+	0.283218i
$537$	10.8092	−	7.69721i	0.466452	−	0.332159i
$538$	−0.886251	+	2.80992i	−0.0382090	+	0.121144i
$539$	−5.39472	−	38.5202i	−0.232367	−	1.65918i
$540$	21.4927	−	30.6827i	0.924901	−	1.32037i
$541$	−26.4477	−	10.5880i	−1.13707	−	0.455216i	−0.274721	−	0.961524i	$-0.588586\pi$
$541$	−26.4477	−	10.5880i	−1.13707	−	0.455216i	−0.862353	+	0.506308i	$0.831010\pi$
$542$	−2.12448	+	31.4137i	−0.0912543	+	1.34933i
$543$	−2.94465	+	15.2783i	−0.126367	+	0.655655i
$544$	−12.5631	+	24.1061i	−0.538640	+	1.03354i
$545$	−9.97309	+	15.5184i	−0.427200	+	0.664736i
$546$	−20.6720	−	13.2254i	−0.884681	−	0.565996i
$547$	2.93772	−	2.54554i	0.125608	−	0.108840i	−0.589792	−	0.807555i	$-0.700790\pi$
$547$	2.93772	−	2.54554i	0.125608	−	0.108840i	0.715399	+	0.698716i	$0.246245\pi$
$548$	−0.175506	−	22.6543i	−0.00749724	−	0.967744i
$549$	−0.315176	−	0.224436i	−0.0134514	−	0.00957869i
$550$	−38.0148	+	38.3105i	−1.62096	+	1.63356i
$551$	0.752164	−	1.30279i	0.0320433	−	0.0555006i
$552$	−13.8056	−	17.3762i	−0.587606	−	0.739580i
$553$	−1.96352	+	8.94737i	−0.0834973	+	0.380481i
$554$	−29.9067	+	8.13776i	−1.27061	+	0.345740i
$555$	4.01742	−	42.0723i	0.170530	−	1.78587i
$556$	−2.29135	−	1.29935i	−0.0971750	−	0.0551047i
$557$	−12.7122	+	36.7295i	−0.538633	+	1.55628i	0.266899	+	0.963725i	$0.414001\pi$
$557$	−12.7122	+	36.7295i	−0.538633	+	1.55628i	−0.805532	+	0.592553i	$0.798120\pi$
$558$	2.61239	−	0.449706i	0.110591	−	0.0190376i
$559$	−1.99714	−	1.28349i	−0.0844701	−	0.0542857i
$560$	−16.3770	−	32.5732i	−0.692054	−	1.37647i
$561$	−28.6083	+	33.0158i	−1.20785	+	1.39393i
$562$	3.27362	−	1.60593i	0.138089	−	0.0677420i
$563$	4.93782	−	3.88314i	0.208104	−	0.163655i	−0.508667	−	0.860963i	$-0.669862\pi$
$563$	4.93782	−	3.88314i	0.208104	−	0.163655i	0.716771	+	0.697308i	$0.245619\pi$
$564$	0.0392363	−	0.447513i	0.00165215	−	0.0188437i
$565$	19.1810	−	0.913705i	0.806952	−	0.0384399i
$566$	13.3264	+	4.20317i	0.560151	+	0.176672i
$567$	8.21954	+	19.2918i	0.345188	+	0.810180i
$568$	14.6093	−	11.2037i	0.612995	−	0.470095i
$569$	−1.88095	+	7.75336i	−0.0788533	+	0.325038i	−0.997553	−	0.0699199i	$-0.977726\pi$
$569$	−1.88095	+	7.75336i	−0.0788533	+	0.325038i	0.918699	+	0.394958i	$0.129241\pi$
$570$	−3.57756	−	47.4378i	−0.149848	−	1.98695i
$571$	−8.25032	+	2.00151i	−0.345265	+	0.0837604i	−0.404642	−	0.914475i	$-0.632604\pi$
$571$	−8.25032	+	2.00151i	−0.345265	+	0.0837604i	0.0593767	+	0.998236i	$0.481089\pi$
$572$	−33.4422	+	29.4345i	−1.39829	+	1.23072i
$573$	1.41547	+	0.203514i	0.0591323	+	0.00850194i
$574$	−17.7793	+	3.46442i	−0.742094	+	0.144602i
$575$	21.1393	−	25.2595i	0.881569	−	1.05339i
$576$	2.42326	−	0.902285i	0.100969	−	0.0375952i
$577$	10.1975	+	25.4720i	0.424526	+	1.06041i	0.974331	+	0.225121i	$0.0722778\pi$
$577$	10.1975	+	25.4720i	0.424526	+	1.06041i	−0.549805	+	0.835293i	$0.685298\pi$
$578$	−8.42524	−	1.79865i	−0.350444	−	0.0748139i
$579$	−25.6490	+	24.4563i	−1.06594	+	1.01637i
$580$	0.0691928	−	1.73529i	0.00287308	−	0.0720538i
$581$	6.10099	+	9.04979i	0.253112	+	0.375449i
$582$	−16.5838	−	2.72269i	−0.687419	−	0.112859i
$583$	24.6208	−	17.5324i	1.01969	−	0.726116i
$584$	−22.9248	+	38.6130i	−0.948633	+	1.59782i
$585$	3.96761	+	2.04545i	0.164041	+	0.0845688i
$586$	−0.711815	+	0.0197034i	−0.0294048	+	0.000813940i
$587$	−1.05018	−	7.30416i	−0.0433456	−	0.301475i	−0.999949	−	0.0100826i	$-0.996791\pi$
$587$	−1.05018	−	7.30416i	−0.0433456	−	0.301475i	0.956604	−	0.291392i	$-0.0941185\pi$
$588$	22.8102	+	2.08397i	0.940677	+	0.0859416i
$589$	22.6650	−	26.1568i	0.933896	−	1.07777i
$590$	19.0746	+	11.5255i	0.785288	+	0.474496i
$591$	−1.94545	+	40.8399i	−0.0800249	+	1.67993i
$592$	19.2882	−	22.9694i	0.792740	−	0.944036i
$593$	−3.59732	−	18.6647i	−0.147724	−	0.766467i	−0.977918	−	0.208991i	$-0.932982\pi$
$593$	−3.59732	−	18.6647i	−0.147724	−	0.766467i	0.830193	−	0.557476i	$-0.188230\pi$
$594$	42.4036	−	5.23665i	1.73984	−	0.214862i
$595$	32.4632	−	29.4028i	1.33086	−	1.20540i
$596$	6.77187	+	8.47518i	0.277387	+	0.347157i
$597$	7.02992	−	12.1762i	0.287715	−	0.498338i
$598$	18.8169	−	19.6258i	0.769479	−	0.802560i
$599$	−28.5282	+	16.4708i	−1.16563	+	0.672978i	−0.952647	−	0.304077i	$-0.901652\pi$
$599$	−28.5282	+	16.4708i	−1.16563	+	0.672978i	−0.212985	+	0.977055i	$0.568319\pi$
$600$	−16.8558	−	26.9442i	−0.688137	−	1.09999i
$601$	2.61443	−	1.19397i	0.106645	−	0.0487031i	−0.361378	−	0.932419i	$-0.617694\pi$
$601$	2.61443	−	1.19397i	0.106645	−	0.0487031i	0.468023	+	0.883716i	$0.344966\pi$
$602$	2.20619	+	0.206112i	0.0899176	+	0.00840051i
$603$	1.47879	−	1.28138i	0.0602209	−	0.0521817i
$604$	−24.8366	+	16.2347i	−1.01059	+	0.660582i
$605$	−68.3945	−	3.25803i	−2.78063	−	0.132458i
$606$	35.4832	−	19.5541i	1.44140	−	0.794330i
$607$	−2.28887	−	6.61324i	−0.0929022	−	0.268423i	0.888971	−	0.457964i	$-0.151421\pi$
$607$	−2.28887	−	6.61324i	−0.0929022	−	0.268423i	−0.981873	+	0.189541i	$0.939300\pi$
$608$	17.0101	−	29.1631i	0.689853	−	1.18272i
$609$	0.902448	+	0.613202i	0.0365690	+	0.0248482i
$610$	−4.96811	+	3.05468i	−0.201153	+	0.123680i
$611$	0.549738	−	0.0261873i	0.0222400	−	0.00105942i
$612$	1.82145	+	2.51639i	0.0736279	+	0.101719i
$613$	37.5514	−	3.58573i	1.51669	−	0.144826i	0.696764	−	0.717300i	$-0.254622\pi$
$613$	37.5514	−	3.58573i	1.51669	−	0.144826i	0.819923	+	0.572474i	$0.194016\pi$
$614$	−1.82685	−	1.49651i	−0.0737257	−	0.0603943i
$615$	−26.1807	+	7.68734i	−1.05571	+	0.309983i
$616$	15.0756	−	38.7527i	0.607414	−	1.56139i
$617$	−31.7199	−	9.31380i	−1.27700	−	0.374960i	−0.428201	−	0.903683i	$-0.640853\pi$
$617$	−31.7199	−	9.31380i	−1.27700	−	0.374960i	−0.848794	+	0.528724i	$0.822671\pi$
$618$	−12.8434	−	39.6473i	−0.516635	−	1.59485i
$619$	−2.48244	+	0.993820i	−0.0997778	+	0.0399450i	−0.421014	−	0.907054i	$-0.638326\pi$
$619$	−2.48244	+	0.993820i	−0.0997778	+	0.0399450i	0.321237	+	0.946999i	$0.395902\pi$
$620$	9.11887	−	38.9014i	0.366223	−	1.56232i
$621$	−25.5156	+	5.37359i	−1.02391	+	0.215635i
$622$	−0.169916	−	0.392583i	−0.00681302	−	0.0157411i
$623$	0.872088	+	0.327089i	0.0349395	+	0.0131046i
$624$	−12.3814	−	23.1296i	−0.495655	−	0.925925i
$625$	−8.80801	+	8.39843i	−0.352321	+	0.335937i
$626$	−0.941515	−	12.4843i	−0.0376305	−	0.498974i
$627$	37.4421	−	39.2681i	1.49529	−	1.56822i
$628$	10.5020	+	2.99550i	0.419076	+	0.119533i
$629$	32.7768	+	14.9686i	1.30690	+	0.596839i
$630$	−4.16634	+	0.00852280i	−0.165991	+	0.000339557i
$631$	22.2483	+	34.6190i	0.885689	+	1.37816i	0.925418	+	0.378949i	$0.123714\pi$
$631$	22.2483	+	34.6190i	0.885689	+	1.37816i	−0.0397284	+	0.999211i	$0.512649\pi$
$632$	−6.50256	+	7.32222i	−0.258658	+	0.291262i
$633$	0.373476	+	0.474914i	0.0148444	+	0.0188761i
$634$	1.73525	−	25.6582i	0.0689154	−	1.01902i
$635$	−18.6811	−	53.9756i	−0.741338	−	2.14196i
$636$	6.74305	+	16.4723i	0.267379	+	0.653170i
$637$	1.23275	+	28.0346i	0.0488434	+	1.11077i
$638$	1.52247	−	1.26700i	0.0602750	−	0.0501612i
$639$	−0.398169	−	2.06590i	−0.0157513	−	0.0817256i
$640$	1.72549	−	38.9375i	0.0682061	−	1.53914i
$641$	7.50011	−	10.5324i	0.296237	−	0.416006i	−0.639453	−	0.768830i	$-0.720839\pi$
$641$	7.50011	−	10.5324i	0.296237	−	0.416006i	0.935690	+	0.352824i	$0.114779\pi$
$642$	−19.2300	−	5.07291i	−0.758948	−	0.200212i
$643$	6.09757			0.240465			0.120232	−	0.992746i	$-0.461636\pi$
$643$	6.09757			0.240465			0.120232	+	0.992746i	$0.461636\pi$
$644$	−7.16694	+	24.3441i	−0.282417	+	0.959292i
$645$	3.33781			0.131426
$646$	39.2176	+	10.3457i	1.54299	+	0.407045i
$647$	−2.63258	+	3.69695i	−0.103498	+	0.145342i	−0.863077	−	0.505073i	$-0.831466\pi$
$647$	−2.63258	+	3.69695i	−0.103498	+	0.145342i	0.759579	+	0.650415i	$0.225405\pi$
$648$	−2.40257	+	22.2886i	−0.0943820	+	0.875579i
$649$	4.81038	+	24.9586i	0.188824	+	0.979712i
$650$	29.9289	−	24.9070i	1.17391	−	0.976933i
$651$	17.7177	+	17.7825i	0.694410	+	0.696953i
$652$	−17.9878	+	7.36343i	−0.704457	+	0.288374i
$653$	−13.7797	−	39.8138i	−0.539241	−	1.55804i	−0.804558	−	0.593874i	$-0.797598\pi$
$653$	−13.7797	−	39.8138i	−0.539241	−	1.55804i	0.265317	−	0.964161i	$-0.414523\pi$
$654$	0.835979	−	12.3612i	0.0326894	−	0.483362i
$655$	35.8609	+	45.6009i	1.40120	+	1.78177i
$656$	−18.3953	−	6.04919i	−0.718215	−	0.236181i
$657$	2.77438	+	4.31703i	0.108239	+	0.168423i
$658$	−0.444337	+	0.257751i	−0.0173221	+	0.0100482i
$659$	2.82797	+	1.29149i	0.110162	+	0.0503093i	0.469734	−	0.882808i	$-0.344350\pi$
$659$	2.82797	+	1.29149i	0.110162	+	0.0503093i	−0.359572	+	0.933117i	$0.617077\pi$
$660$	17.1809	−	60.2351i	0.668766	−	2.34465i
$661$	2.88183	−	3.02238i	0.112090	−	0.117557i	−0.665298	−	0.746578i	$-0.731696\pi$
$661$	2.88183	−	3.02238i	0.112090	−	0.117557i	0.777388	+	0.629021i	$0.216544\pi$
$662$	−2.51579	−	33.3590i	−0.0977791	−	1.29653i
$663$	22.8103	−	21.7495i	0.885877	−	0.844682i
$664$	0.967553	+	11.6276i	0.0375484	+	0.451240i
$665$	−42.0107	+	34.5581i	−1.62911	+	1.34010i
$666$	−1.36147	−	3.14560i	−0.0527557	−	0.121889i
$667$	−0.860413	+	0.849074i	−0.0333153	+	0.0328763i
$668$	23.2019	+	5.43876i	0.897710	+	0.210432i
$669$	−12.5675	+	5.03125i	−0.485886	+	0.194519i
$670$	−9.08920	−	28.0583i	−0.351146	−	1.08399i
$671$	−6.38219	−	1.87398i	−0.246382	−	0.0723442i
$672$	20.1923	+	13.8517i	0.778935	+	0.534339i
$673$	46.2215	−	13.5719i	1.78171	−	0.523157i	0.786212	−	0.617957i	$-0.212039\pi$
$673$	46.2215	−	13.5719i	1.78171	−	0.523157i	0.995496	+	0.0948000i	$0.0302212\pi$
$674$	26.1145	+	21.3923i	1.00589	+	0.824002i
$675$	−37.1730	+	3.54959i	−1.43079	+	0.136624i
$676$	4.97474	−	3.60090i	0.191336	−	0.138496i
$677$	−44.0733	+	2.09947i	−1.69387	+	0.0806892i	−0.872163	−	0.489215i	$-0.837283\pi$
$677$	−44.0733	+	2.09947i	−1.69387	+	0.0806892i	−0.821711	+	0.569904i	$0.806980\pi$
$678$	−10.9866	+	6.75519i	−0.421938	+	0.259432i
$679$	8.36517	+	17.3008i	0.321026	+	0.663945i
$680$	45.6346	−	10.4840i	1.75001	−	0.402044i
$681$	0.144376	+	0.417147i	0.00553250	+	0.0159851i
$682$	39.9115	−	21.9945i	1.52829	−	0.842211i
$683$	−18.1447	−	0.864339i	−0.694288	−	0.0330730i	−0.302528	−	0.953140i	$-0.597831\pi$
$683$	−18.1447	−	0.864339i	−0.694288	−	0.0330730i	−0.391760	+	0.920067i	$0.628134\pi$
$684$	−2.11095	−	3.22942i	−0.0807142	−	0.123480i
$685$	−29.4918	+	25.5548i	−1.12682	+	0.976398i
$686$	−13.0593	−	22.7036i	−0.498605	−	0.866829i
$687$	19.1198	−	8.73171i	0.729465	−	0.333136i
$688$	1.95061	+	1.34397i	0.0743665	+	0.0512384i
$689$	−18.8846	+	10.9030i	−0.719446	+	0.415372i
$690$	−7.33812	+	37.5165i	−0.279358	+	1.42823i
$691$	−11.7704	+	20.3870i	−0.447769	+	0.775559i	−0.998240	−	0.0592954i	$-0.981115\pi$
$691$	−11.7704	+	20.3870i	−0.447769	+	0.775559i	0.550472	+	0.834854i	$0.314448\pi$
$692$	−23.6025	+	18.8590i	−0.897233	+	0.716910i
$693$	−3.18993	−	3.52195i	−0.121175	−	0.133788i
$694$	−0.891564	+	0.110104i	−0.0338433	+	0.00417949i
$695$	0.858686	+	4.45529i	0.0325718	+	0.168999i
$696$	0.521809	+	1.04317i	0.0197791	+	0.0395413i
$697$	1.10691	−	23.2370i	0.0419274	−	0.880164i
$698$	−29.3026	−	17.7056i	−1.10912	−	0.670165i
$699$	−13.3142	+	15.3654i	−0.503589	+	0.581173i
$700$	−14.1081	+	33.4921i	−0.533237	+	1.26588i
$701$	−3.89715	−	27.1053i	−0.147193	−	1.02375i	−0.920786	−	0.390069i	$-0.872451\pi$
$701$	−3.89715	−	27.1053i	−0.147193	−	1.02375i	0.773592	−	0.633684i	$-0.218458\pi$
$702$	−30.8127	+	0.852912i	−1.16295	+	0.0321911i
$703$	−39.7776	−	20.5068i	−1.50024	−	0.773428i
$704$	34.2942	−	28.2835i	1.29251	−	1.06597i
$705$	−0.630317	+	0.448847i	−0.0237391	+	0.0169045i
$706$	−21.2364	−	3.48655i	−0.799243	−	0.131218i
$707$	−41.6338	−	20.3186i	−1.56580	−	0.764160i
$708$	−14.9563	−	0.596366i	−0.562091	−	0.0224128i
$709$	−23.1564	+	22.0796i	−0.869656	+	0.829215i	−0.986471	−	0.163938i	$-0.947580\pi$
$709$	−23.1564	+	22.0796i	−0.869656	+	0.829215i	0.116815	+	0.993154i	$0.462732\pi$
$710$	−31.0136	−	6.62090i	−1.16392	−	0.248478i
$711$	0.415921	+	1.03892i	0.0155983	+	0.0389626i
$712$	0.642844	+	0.760400i	0.0240916	+	0.0284972i
$713$	−23.1350	+	15.4355i	−0.866413	+	0.578063i
$714$	−9.56448	+	27.8187i	−0.357942	+	1.04109i
$715$	75.9576	+	10.9211i	2.84065	+	0.408424i
$716$	−10.7174	−	12.1766i	−0.400527	−	0.455061i
$717$	−11.1640	+	2.70835i	−0.416926	+	0.101145i
$718$	−3.76283	−	49.8944i	−0.140427	−	1.86204i
$719$	1.79307	−	7.39114i	0.0668702	−	0.275643i	−0.928554	−	0.371197i	$-0.878947\pi$
$719$	1.79307	−	7.39114i	0.0668702	−	0.275643i	0.995424	+	0.0955546i	$0.0304625\pi$
$720$	−3.89133	−	2.16698i	−0.145021	−	0.0807585i
$721$	−28.6284	+	38.0977i	−1.06618	+	1.41883i
$722$	−22.4155	−	7.06987i	−0.834218	−	0.263113i
$723$	−18.2694	+	0.870278i	−0.679446	+	0.0323660i
$724$	18.9477	+	1.66127i	0.704186	+	0.0617405i
$725$	−1.36076	+	1.07011i	−0.0505373	+	0.0397430i
$726$	41.2876	−	20.2543i	1.53233	−	0.751708i
$727$	1.25672	−	1.45034i	0.0466093	−	0.0537900i	−0.731966	−	0.681341i	$-0.761397\pi$
$727$	1.25672	−	1.45034i	0.0466093	−	0.0537900i	0.778576	+	0.627551i	$0.215943\pi$
$728$	−13.4847	+	26.7977i	−0.499775	+	0.993189i
$729$	24.6053	+	15.8129i	0.911308	+	0.585662i
$730$	76.2287	−	13.1223i	2.82135	−	0.485678i
$731$	−0.930750	+	2.68922i	−0.0344250	+	0.0994646i
$732$	1.93217	−	3.40731i	0.0714150	−	0.125938i
$733$	−0.231379	+	2.42311i	−0.00854617	+	0.0894996i	−0.998739	−	0.0502102i	$-0.984011\pi$
$733$	−0.231379	+	2.42311i	−0.00854617	+	0.0894996i	0.990193	+	0.139710i	$0.0446169\pi$
$734$	−0.279993	+	0.0761876i	−0.0103347	+	0.00281214i
$735$	−22.7681	−	32.2219i	−0.839812	−	1.18852i
$736$	−19.3944	+	18.9699i	−0.714888	+	0.699239i
$737$	16.8192	−	29.1316i	0.619542	−	1.07308i
$738$	−1.55868	+	1.57080i	−0.0573758	+	0.0578220i
$739$	−0.322339	−	0.229536i	−0.0118574	−	0.00844363i	0.574113	−	0.818776i	$-0.305347\pi$
$739$	−0.322339	−	0.229536i	−0.0118574	−	0.00844363i	−0.585970	+	0.810333i	$0.699286\pi$
$740$	−51.6628	+	0.400238i	−1.89916	+	0.0147131i
$741$	−29.5833	+	25.6340i	−1.08677	+	0.941690i
$742$	10.9685	−	17.1444i	0.402667	−	0.629390i
$743$	9.70825	−	15.1063i	0.356161	−	0.554197i	−0.616227	−	0.787569i	$-0.711339\pi$
$743$	9.70825	−	15.1063i	0.356161	−	0.554197i	0.972388	+	0.233371i	$0.0749758\pi$
$744$	7.24632	+	25.8388i	0.265663	+	0.947297i
$745$	3.53641	−	18.3486i	0.129564	−	0.672242i
$746$	−2.28657	+	33.8104i	−0.0837173	+	1.23789i
$747$	1.23785	+	0.495559i	0.0452905	+	0.0181316i
$748$	43.7397	+	30.6390i	1.59928	+	1.12027i
$749$	7.90833	+	21.3220i	0.288964	+	0.779089i
$750$	−4.47885	+	14.2005i	−0.163544	+	0.518528i
$751$	0.0563269	−	0.0401102i	0.00205540	−	0.00146364i	−0.579029	−	0.815307i	$-0.696568\pi$
$751$	0.0563269	−	0.0401102i	0.00205540	−	0.00146364i	0.581084	+	0.813843i	$0.302629\pi$
$752$	−0.549085	+	0.00850818i	−0.0200231	+	0.000310261i
$753$	0.448660	+	0.427796i	0.0163501	+	0.0155898i
$754$	−1.18030	+	0.805535i	−0.0429841	+	0.0293359i
$755$	49.0395	+	14.3993i	1.78473	+	0.524045i
$756$	25.1690	−	13.9374i	0.915389	−	0.506897i
$757$	6.38478	−	44.4071i	0.232059	−	1.61401i	−0.457114	−	0.889408i	$-0.651117\pi$
$757$	6.38478	−	44.4071i	0.232059	−	1.61401i	0.689173	−	0.724597i	$-0.257974\pi$
$758$	−4.69148	+	40.5705i	−0.170402	+	1.47359i
$759$	−37.3783	+	22.4446i	−1.35674	+	0.814686i
$760$	−57.2330	+	10.3095i	−2.07606	+	0.373963i
$761$	25.1025	−	31.9205i	0.909966	−	1.15712i	−0.0771353	−	0.997021i	$-0.524577\pi$
$761$	25.1025	−	31.9205i	0.909966	−	1.15712i	0.987102	−	0.160096i	$-0.0511802\pi$
$762$	28.4855	+	25.6942i	1.03192	+	0.930803i
$763$	−12.1105	+	7.35138i	−0.438428	+	0.266138i
$764$	0.0696489	−	1.74672i	0.00251981	−	0.0631942i
$765$	1.26150	−	5.19999i	0.0456098	−	0.188006i
$766$	32.5412	−	12.2810i	1.17576	−	0.443732i
$767$	−1.74312	−	18.2548i	−0.0629405	−	0.659143i
$768$	11.6070	+	23.4634i	0.418832	+	0.846663i
$769$	11.5957	+	18.0432i	0.418150	+	0.650655i	0.984878	−	0.173251i	$-0.0554271\pi$
$769$	11.5957	+	18.0432i	0.418150	+	0.650655i	−0.566727	+	0.823905i	$0.691791\pi$
$770$	−67.6373	+	23.5645i	−2.43748	+	0.849207i
$771$	−6.91419	+	0.994111i	−0.249009	+	0.0358020i
$772$	32.9599	+	28.1158i	1.18625	+	1.01191i
$773$	−0.0155086	+	0.0804661i	−0.000557804	+	0.00289416i	−0.982207	−	0.187804i	$-0.939863\pi$
$773$	−0.0155086	+	0.0804661i	−0.000557804	+	0.00289416i	0.981649	+	0.190698i	$0.0610752\pi$
$774$	0.237081	−	0.130651i	0.00852169	−	0.00469614i
$775$	−35.4010	+	18.2505i	−1.27164	+	0.655577i
$776$	−1.22737	+	20.5072i	−0.0440600	+	0.736165i
$777$	16.9442	−	27.6847i	0.607869	−	0.993182i
$778$	1.40835	+	11.4041i	0.0504919	+	0.408856i
$779$	−2.74643	+	28.7619i	−0.0984011	+	1.03050i
$780$	−16.4699	+	42.0817i	−0.589717	+	1.50677i
$781$	−18.0844	−	31.3232i	−0.647112	−	1.12083i
$782$	−28.1802	−	16.3737i	−1.00772	−	0.585522i
$783$	1.37045			0.0489758
$784$	−0.331463	−	27.9980i	−0.0118380	−	0.999930i
$785$	−7.81446	−	17.1113i	−0.278910	−	0.610728i
$786$	−35.8763	−	15.1990i	−1.27967	−	0.542129i
$787$	−6.32315	+	18.2695i	−0.225396	+	0.651238i	0.774432	+	0.632658i	$0.218036\pi$
$787$	−6.32315	+	18.2695i	−0.225396	+	0.651238i	−0.999827	+	0.0185807i	$0.994085\pi$
$788$	49.9040	−	2.76485i	1.77776	−	0.0984939i
$789$	−15.5311	−	30.1262i	−0.552922	−	1.07252i
$790$	16.8647	+	0.336098i	0.600019	+	0.0119578i
$791$	13.5463	+	5.83020i	0.481652	+	0.207298i
$792$	−1.13742	−	4.95094i	−0.0404165	−	0.175924i
$793$	4.45508	+	1.78354i	0.158205	+	0.0633355i
$794$	23.7878	−	43.9681i	0.844196	−	1.56037i
$795$	14.0487	−	27.2507i	0.498257	−	0.966483i
$796$	−15.6888	−	7.01847i	−0.556076	−	0.248763i
$797$	3.95200	+	1.80482i	0.139987	+	0.0639300i	0.484177	−	0.874970i	$-0.339119\pi$
$797$	3.95200	+	1.80482i	0.139987	+	0.0639300i	−0.344190	+	0.938900i	$0.611846\pi$
$798$	13.5095	−	33.9462i	0.478231	−	1.20168i
$799$	−0.185865	−	0.632998i	−0.00657543	−	0.0223939i
$800$	−30.6455	+	23.8808i	−1.08348	+	0.844314i
$801$	0.110580	−	0.0268264i	0.00390715	−	0.000947865i
$802$	−33.9163	−	7.24056i	−1.19762	−	0.255673i
$803$	69.3451	+	54.5336i	2.44714	+	1.92445i
$804$	14.4419	+	13.5583i	0.509326	+	0.478163i
$805$	39.9142	−	17.8216i	1.40679	−	0.628130i
$806$	−30.1722	+	13.0590i	−1.06277	+	0.459984i
$807$	−2.10707	+	2.67935i	−0.0741722	+	0.0943176i
$808$	−28.2344	−	40.6896i	−0.993284	−	1.43145i
$809$	8.05922	+	33.2206i	0.283347	+	1.16797i	0.918447	+	0.395543i	$0.129444\pi$
$809$	8.05922	+	33.2206i	0.283347	+	1.16797i	−0.635100	+	0.772430i	$0.719041\pi$
$810$	31.8945	−	21.7674i	1.12066	−	0.764830i
$811$	29.4003	−	8.63270i	1.03238	−	0.303135i	0.278704	−	0.960377i	$-0.410095\pi$
$811$	29.4003	−	8.63270i	1.03238	−	0.303135i	0.753680	+	0.657242i	$0.228277\pi$
$812$	0.632260	−	1.17437i	0.0221880	−	0.0412123i
$813$	−15.1315	+	33.1335i	−0.530686	+	1.16204i
$814$	−39.8047	−	43.4474i	−1.39515	−	1.52283i
$815$	29.7578	+	15.3412i	1.04237	+	0.537380i
$816$	−23.4450	+	20.9599i	−0.820739	+	0.733743i
$817$	1.31359	−	3.28120i	0.0459568	−	0.114794i
$818$	−30.4900	+	45.4271i	−1.06606	+	1.58832i
$819$	2.04943	+	2.74818i	0.0716129	+	0.0960290i
$820$	12.6364	+	30.8689i	0.441281	+	1.07799i
$821$	18.6800	−	9.63020i	0.651936	−	0.336096i	−0.100332	−	0.994954i	$-0.531990\pi$
$821$	18.6800	−	9.63020i	0.651936	−	0.336096i	0.752268	+	0.658858i	$0.228960\pi$
$822$	9.06401	−	24.5921i	0.316144	−	0.857747i
$823$	27.1942	+	9.41201i	0.947931	+	0.328082i	0.756921	−	0.653506i	$-0.226703\pi$
$823$	27.1942	+	9.41201i	0.947931	+	0.328082i	0.191010	+	0.981588i	$0.438824\pi$
$824$	−46.5961	+	20.5976i	−1.62325	+	0.717551i
$825$	−56.7954	+	25.9376i	−1.97736	+	0.903031i
$826$	9.28291	+	14.3797i	0.322994	+	0.500335i
$827$			31.8983i			1.10921i	0.832113	+	0.554606i	$0.187131\pi$
$827$			31.8983i			1.10921i	−0.832113	+	0.554606i	$0.812869\pi$
$828$	0.947273	+	2.95198i	0.0329200	+	0.102589i
$829$	9.93953	−	5.73859i	0.345214	−	0.199310i	−0.317361	−	0.948305i	$-0.602797\pi$
$829$	9.93953	−	5.73859i	0.345214	−	0.199310i	0.662575	+	0.748995i	$0.269463\pi$
$830$	14.1562	−	14.2663i	0.491367	−	0.495189i
$831$	−35.6943	−	3.40839i	−1.23822	−	0.118236i
$832$	−26.5692	+	17.9609i	−0.921122	+	0.622683i
$833$	32.3096	−	9.35880i	1.11946	−	0.324263i
$834$	−1.94933	−	2.34237i	−0.0674997	−	0.0811095i
$835$	−18.8096	−	36.4855i	−0.650933	−	1.26263i
$836$	−52.4519	−	40.5950i	−1.81409	−	1.40401i
$837$	30.9604	+	5.96713i	1.07015	+	0.206254i
$838$	22.2472	−	10.9137i	0.768517	−	0.377009i
$839$	−0.703039	−	4.88974i	−0.0242716	−	0.168813i	0.974080	−	0.226203i	$-0.0726312\pi$
$839$	−0.703039	−	4.88974i	−0.0242716	−	0.168813i	−0.998352	+	0.0573901i	$0.981722\pi$
$840$	−4.42027	−	41.9461i	−0.152514	−	1.44728i
$841$	−24.3429	+	15.6442i	−0.839411	+	0.539456i
$842$	31.6368	−	28.9844i	1.09028	−	0.998869i
$843$	4.19927	−	0.400982i	0.144631	−	0.0138105i
$844$	0.530558	−	0.513792i	0.0182626	−	0.0176854i
$845$	−10.2801	−	2.49392i	−0.353645	−	0.0857934i
$846$	−0.0272017	+	0.0565533i	−0.000935213	+	0.00194434i
$847$	−46.1078	−	25.2863i	−1.58428	−	0.868846i
$848$	19.1826	−	10.2686i	0.658732	−	0.352624i
$849$	12.7072	+	9.99305i	0.436110	+	0.342961i
$850$	−37.4727	−	27.8258i	−1.28530	−	0.954419i
$851$	26.4486	+	24.3657i	0.906646	+	0.835246i
$852$	20.3893	−	6.15880i	0.698525	−	0.210997i
$853$	−25.6330	−	3.68547i	−0.877658	−	0.126188i	−0.311265	−	0.950323i	$-0.600753\pi$
$853$	−25.6330	−	3.68547i	−0.877658	−	0.126188i	−0.566393	+	0.824135i	$0.691662\pi$
$854$	−4.45786	+	0.434878i	−0.152545	+	0.0148812i
$855$	−1.87230	+	6.37646i	−0.0640312	+	0.218070i
$856$	−3.75272	+	24.0202i	−0.128265	+	0.820992i
$857$	10.7330	−	11.2564i	0.366632	−	0.384513i	−0.514415	−	0.857541i	$-0.671991\pi$
$857$	10.7330	−	11.2564i	0.366632	−	0.384513i	0.881047	+	0.473029i	$0.156839\pi$
$858$	−48.2204	+	18.1984i	−1.64622	+	0.621282i
$859$	23.0036	+	32.3040i	0.784872	+	1.10220i	0.992289	+	0.123946i	$0.0395551\pi$
$859$	23.0036	+	32.3040i	0.784872	+	1.10220i	−0.207416	+	0.978253i	$0.566506\pi$
$860$	−0.419306	−	4.05864i	−0.0142982	−	0.138398i
$861$	−20.6590	−	3.51282i	−0.704056	−	0.119717i
$862$	1.47632	+	2.40108i	0.0502837	+	0.0817811i
$863$	−2.34179	+	5.84952i	−0.0797156	+	0.199120i	−0.962872	−	0.269959i	$-0.912990\pi$
$863$	−2.34179	+	5.84952i	−0.0797156	+	0.199120i	0.883156	+	0.469079i	$0.155414\pi$
$864$	30.7565	+	0.136329i	1.04636	+	0.00463801i
$865$	51.0990	+	9.84853i	1.73742	+	0.334860i
$866$	−24.4075	−	14.7478i	−0.829400	−	0.501149i
$867$	−8.38452	−	5.38840i	−0.284753	−	0.183000i
$868$	19.3971	−	23.7778i	0.658380	−	0.807072i
$869$	12.5985	+	14.5394i	0.427374	+	0.493216i
$870$	0.783733	−	1.84996i	0.0265710	−	0.0627195i
$871$	−14.0771	+	19.7685i	−0.476983	+	0.669829i
$872$	−15.1357	+	0.536338i	−0.512561	+	0.0181627i
$873$	2.03316	+	1.17384i	0.0688119	+	0.0397286i
$874$	33.9922	+	21.9782i	1.14980	+	0.743425i
$875$	16.2274	−	5.15467i	0.548587	−	0.174260i
$876$	−40.5860	+	32.4292i	−1.37127	+	1.09568i
$877$	53.0963	+	5.07008i	1.79293	+	0.171204i	0.937794	−	0.347192i	$-0.112865\pi$
$877$	53.0963	+	5.07008i	1.79293	+	0.171204i	0.855140	+	0.518397i	$0.173471\pi$
$878$	7.95853	−	6.00592i	0.268587	−	0.202690i
$879$	−0.778497	−	0.269440i	−0.0262580	−	0.00908800i
$880$	−75.4017	−	13.3243i	−2.54179	−	0.449163i
$881$	14.5597	−	22.6553i	0.490528	−	0.763276i	−0.504443	−	0.863445i	$-0.668302\pi$
$881$	14.5597	−	22.6553i	0.490528	−	0.763276i	0.994970	+	0.100169i	$0.0319383\pi$
$882$	−2.87844	−	1.39748i	−0.0969221	−	0.0470557i
$883$	−31.5248	−	27.3164i	−1.06090	−	0.919271i	−0.0639953	−	0.997950i	$-0.520384\pi$
$883$	−31.5248	−	27.3164i	−1.06090	−	0.919271i	−0.996900	+	0.0786792i	$0.974930\pi$
$884$	−29.3120	−	25.0041i	−0.985869	−	0.840978i
$885$	15.9378	+	20.2665i	0.535743	+	0.681252i
$886$	−14.8639	+	27.4737i	−0.499363	+	0.922997i
$887$	−0.318070	−	6.67711i	−0.0106797	−	0.224195i	−0.997897	−	0.0648164i	$-0.979354\pi$
$887$	−0.318070	−	6.67711i	−0.0106797	−	0.224195i	0.987217	−	0.159379i	$-0.0509492\pi$
$888$	30.2597	−	16.9824i	1.01545	−	0.569894i
$889$	5.28730	−	43.5459i	0.177330	−	1.46048i
$890$	0.277866	−	1.69247i	0.00931409	−	0.0567317i
$891$	42.7994	+	10.3830i	1.43383	+	0.347844i
$892$	7.69655	+	14.6495i	0.257699	+	0.490500i
$893$	0.193173	+	0.796269i	0.00646428	+	0.0266461i
$894$	3.86768	+	11.9395i	0.129355	+	0.399317i
$895$	−3.97646	+	27.6569i	−0.132918	+	0.924467i
$896$	14.3064	−	26.2931i	0.477944	−	0.878390i
$897$	28.3837	−	13.5560i	0.947705	−	0.452622i
$898$	42.6324	+	4.92991i	1.42266	+	0.164513i
$899$	1.35699	−	0.543259i	0.0452583	−	0.0181187i
$900$	0.873989	+	4.35294i	0.0291330	+	0.145098i
$901$	18.0380	+	18.9177i	0.600933	+	0.630241i
$902$	−16.4897	+	34.2828i	−0.549048	+	1.14149i
$903$	2.30372	+	1.12429i	0.0766631	+	0.0374140i
$904$	9.59420	+	12.5106i	0.319098	+	0.416098i
$905$	−19.0042	−	26.6876i	−0.631721	−	0.887127i
$906$	−33.5140	+	7.42661i	−1.11343	+	0.246733i
$907$	−24.1527	+	46.8497i	−0.801977	+	1.55562i	0.0291753	+	0.999574i	$0.490712\pi$
$907$	−24.1527	+	46.8497i	−0.801977	+	1.55562i	−0.831153	+	0.556045i	$0.812318\pi$
$908$	0.489096	−	0.227958i	0.0162312	−	0.00756506i
$909$	−5.60206	+	0.805454i	−0.185808	+	0.0267152i
$910$	50.1921	−	12.2852i	1.66385	−	0.407252i
$911$	15.3242	+	13.2785i	0.507715	+	0.439938i	0.870669	−	0.491870i	$-0.163686\pi$
$911$	15.3242	+	13.2785i	0.507715	+	0.439938i	−0.362954	+	0.931807i	$0.618232\pi$
$912$	30.3240	−	24.6169i	1.00413	−	0.815148i
$913$	22.8961	+	1.09068i	0.757750	+	0.0360961i
$914$	2.56338	−	6.95484i	0.0847890	−	0.230046i
$915$	−6.62513	+	1.27689i	−0.219020	+	0.0422127i
$916$	−13.0193	−	22.1519i	−0.430169	−	0.731921i
$917$	9.39091	+	43.5524i	0.310115	+	1.43823i
$918$	9.70143	+	35.6532i	0.320195	+	1.17673i
$919$	50.9385	+	29.4094i	1.68031	+	0.970126i	0.961455	+	0.274963i	$0.0886658\pi$
$919$	50.9385	+	29.4094i	1.68031	+	0.970126i	0.718853	+	0.695162i	$0.244668\pi$
$920$	46.5403	+	4.20992i	1.53439	+	0.138797i
$921$	−1.36603	−	2.36603i	−0.0450121	−	0.0779632i
$922$	32.4300	+	8.55510i	1.06803	+	0.281747i
$923$	10.8399	+	23.7360i	0.356799	+	0.781281i
$924$	32.1473	−	35.7866i	1.05757	−	1.17729i
$925$	33.7251	+	38.9208i	1.10887	+	1.27971i
$926$	0.646219	+	3.75395i	0.0212361	+	0.123362i
$927$	−0.277017	+	5.81530i	−0.00909842	+	0.190999i
$928$	1.20290	−	0.765544i	0.0394871	−	0.0251302i
$929$	43.3473	−	15.0026i	1.42218	−	0.492221i	0.495675	−	0.868508i	$-0.334921\pi$
$929$	43.3473	−	15.0026i	1.42218	−	0.492221i	0.926503	+	0.376287i	$0.122799\pi$
$930$	25.7607	−	38.3808i	0.844726	−	1.25856i
$931$	−40.6357	+	9.70097i	−1.33178	+	0.317936i
$932$	20.3562	+	14.2592i	0.666791	+	0.467077i
$933$	−0.0235478	−	0.494329i	−0.000770920	−	0.0161836i
$934$	−5.50357	−	24.8360i	−0.180082	−	0.812657i
$935$	−8.74393	−	91.5706i	−0.285957	−	2.99468i
$936$	0.477351	+	3.63369i	0.0156027	+	0.118771i
$937$	8.21190	+	27.9671i	0.268271	+	0.913647i	0.977900	+	0.209072i	$0.0670442\pi$
$937$	8.21190	+	27.9671i	0.268271	+	0.913647i	−0.709629	+	0.704575i	$0.751138\pi$
$938$	3.17772	−	22.4271i	0.103756	−	0.732271i
$939$	4.08060	−	13.8973i	0.133165	−	0.453520i
$940$	0.624961	+	0.710054i	0.0203840	+	0.0231594i
$941$	−12.0131	−	30.0072i	−0.391615	−	0.978207i	−0.984886	−	0.173204i	$-0.944588\pi$
$941$	−12.0131	−	30.0072i	−0.391615	−	0.978207i	0.593271	−	0.805003i	$-0.297836\pi$
$942$	10.1435	+	7.53217i	0.330492	+	0.245411i
$943$	8.25763	−	21.6989i	0.268906	−	0.706614i
$944$	1.15369	+	18.2611i	0.0375496	+	0.594348i
$945$	−46.4006	−	17.4032i	−1.50941	−	0.566126i
$946$	3.11694	−	3.45554i	0.101340	−	0.112349i
$947$	−7.44862	−	7.81189i	−0.242048	−	0.253852i	0.591493	−	0.806310i	$-0.298539\pi$
$947$	−7.44862	−	7.81189i	−0.242048	−	0.253852i	−0.833541	+	0.552458i	$0.813690\pi$
$948$	−10.0292	+	5.26916i	−0.325733	+	0.171134i
$949$	−46.0628	−	43.9208i	−1.49526	−	1.42573i
$950$	44.8434	+	36.7347i	1.45491	+	1.19183i
$951$	12.3592	−	27.0629i	0.400775	−	0.877575i
$952$	35.0279	+	8.13533i	1.13526	+	0.263668i
$953$	−17.1537	+	11.0240i	−0.555662	+	0.357102i	−0.788137	−	0.615500i	$-0.788954\pi$
$953$	−17.1537	+	11.0240i	−0.555662	+	0.357102i	0.232475	+	0.972602i	$0.425318\pi$
$954$	−0.0687996	−	2.48549i	−0.00222747	−	0.0804707i
$955$	−2.36690	+	1.86135i	−0.0765912	+	0.0602320i
$956$	4.69569	+	13.2347i	0.151869	+	0.428040i
$957$	2.16543	−	0.749462i	0.0699983	−	0.0242267i
$958$	−53.1594	−	1.05942i	−1.71750	−	0.0342283i
$959$	−28.9627	+	7.70381i	−0.935253	+	0.248769i
$960$	17.7731	−	41.4400i	0.573624	−	1.33747i
$961$	2.58217	−	0.497672i	0.0832957	−	0.0160539i
$962$	25.6076	+	33.9330i	0.825622	+	1.09404i
$963$	2.26309	+	1.61154i	0.0729270	+	0.0519311i
$964$	3.35328	+	22.1055i	0.108002	+	0.711970i
$965$		−	74.6234i		−	2.40221i
$966$	−17.7015	+	23.4217i	−0.569537	+	0.753582i
$967$		−	50.4333i		−	1.62183i	−0.585167	−	0.810913i	$-0.698971\pi$
$967$		−	50.4333i		−	1.62183i	0.585167	−	0.810913i	$-0.301029\pi$
$968$	−29.8150	−	47.6595i	−0.958292	−	1.53184i
$969$	38.2219	+	27.2177i	1.22786	+	0.874358i
$970$	28.2463	−	21.3161i	0.906933	−	0.684419i
$971$	24.0776	−	4.64058i	0.772687	−	0.148923i	0.212356	−	0.977192i	$-0.431886\pi$
$971$	24.0776	−	4.64058i	0.772687	−	0.148923i	0.560331	+	0.828269i	$0.310674\pi$
$972$	3.01834	−	5.96783i	0.0968133	−	0.191418i
$973$	−0.908037	+	3.36423i	−0.0291103	+	0.107852i
$974$	−0.256935	+	12.8924i	−0.00823272	+	0.413100i
$975$	42.5684	−	14.7331i	1.36328	−	0.471836i
$976$	−4.38586	−	1.92140i	−0.140388	−	0.0615025i
$977$	−16.8847	+	13.2783i	−0.540190	+	0.424810i	−0.850616	−	0.525787i	$-0.823771\pi$
$977$	−16.8847	+	13.2783i	−0.540190	+	0.424810i	0.310426	+	0.950598i	$0.399528\pi$
$978$	−22.4774	+	0.622184i	−0.718746	+	0.0198953i
$979$	1.64561	−	1.05757i	0.0525940	−	0.0338001i
$980$	−36.3203	+	31.7328i	−1.16021	+	1.01367i
$981$	−0.718978	+	1.57434i	−0.0229552	+	0.0502649i
$982$	−32.8264	+	40.0724i	−1.04753	+	1.27876i
$983$	25.8853	+	24.6816i	0.825612	+	0.787219i	0.979622	−	0.200850i	$-0.0643703\pi$
$983$	25.8853	+	24.6816i	0.825612	+	0.787219i	−0.154010	+	0.988069i	$0.549219\pi$
$984$	−17.4395	−	14.0617i	−0.555951	−	0.448270i
$985$	−59.4100	−	62.3074i	−1.89296	−	1.98528i
$986$	1.27194	+	1.14730i	0.0405068	+	0.0365376i
$987$	−0.586226	+	0.0974772i	−0.0186598	+	0.00310273i
$988$	34.8863	+	32.7518i	1.10988	+	1.04197i
$989$	−1.71704	+	2.26226i	−0.0545986	+	0.0719357i
$990$	−5.21660	+	7.02512i	−0.165794	+	0.223273i
$991$	−18.4239	−	46.0207i	−0.585254	−	1.46189i	−0.864976	−	0.501813i	$-0.832666\pi$
$991$	−18.4239	−	46.0207i	−0.585254	−	1.46189i	0.279722	−	0.960081i	$-0.409758\pi$
$992$	30.5086	−	12.0572i	0.968649	−	0.382816i
$993$	10.9037	−	37.1344i	0.346017	−	1.17843i
$994$	−19.1752	−	15.0161i	−0.608199	−	0.476283i
$995$	8.34066	+	28.4057i	0.264417	+	0.900521i
$996$	−3.70248	+	12.9806i	−0.117317	+	0.411307i
$997$	0.0424726	+	0.444793i	0.00134512	+	0.0140867i	0.996120	−	0.0880103i	$-0.0280508\pi$
$997$	0.0424726	+	0.444793i	0.00134512	+	0.0140867i	−0.994774	+	0.102097i	$0.967445\pi$
$998$	15.1944	−	3.36703i	0.480970	−	0.106581i
$999$	−1.93990	−	40.7235i	−0.0613757	−	1.28843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	644.2.be.a.215.54	yes	1840
4.3	odd	2	inner	644.2.be.a.215.15	yes	1840
7.3	odd	6	inner	644.2.be.a.31.70	yes	1840
23.3	even	11	inner	644.2.be.a.187.47	yes	1840
28.3	even	6	inner	644.2.be.a.31.47	yes	1840
92.3	odd	22	inner	644.2.be.a.187.70	yes	1840
161.3	odd	66	inner	644.2.be.a.3.15	✓	1840
644.3	even	66	inner	644.2.be.a.3.54	yes	1840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
644.2.be.a.3.15	✓	1840	161.3	odd	66	inner
644.2.be.a.3.54	yes	1840	644.3	even	66	inner
644.2.be.a.31.47	yes	1840	28.3	even	6	inner
644.2.be.a.31.70	yes	1840	7.3	odd	6	inner
644.2.be.a.187.47	yes	1840	23.3	even	11	inner
644.2.be.a.187.70	yes	1840	92.3	odd	22	inner
644.2.be.a.215.15	yes	1840	4.3	odd	2	inner
644.2.be.a.215.54	yes	1840	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 644 = 2^{2} \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	644.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.360731 - 1.36743i) q^{2} +(0.949023 - 1.33272i) q^{3} +(-1.73975 - 0.986552i) q^{4} +(0.651971 + 3.38275i) q^{5} +(-1.48006 - 1.77848i) q^{6} +(-0.689441 + 2.55434i) q^{7} +(-1.97662 + 2.02311i) q^{8} +(0.105716 + 0.305446i) q^{9} +O(q^{10})\)	\(q+(0.360731 - 1.36743i) q^{2} +(0.949023 - 1.33272i) q^{3} +(-1.73975 - 0.986552i) q^{4} +(0.651971 + 3.38275i) q^{5} +(-1.48006 - 1.77848i) q^{6} +(-0.689441 + 2.55434i) q^{7} +(-1.97662 + 2.02311i) q^{8} +(0.105716 + 0.305446i) q^{9} +(4.86087 + 0.328736i) q^{10} +(3.43486 + 4.36778i) q^{11} +(-2.96585 + 1.38233i) q^{12} +(-2.16733 - 3.37243i) q^{13} +(3.24419 + 1.86420i) q^{14} +(5.12698 + 2.34141i) q^{15} +(2.05343 + 3.43270i) q^{16} +(-3.31610 + 3.47783i) q^{17} +(0.455812 - 0.0343754i) q^{18} +(4.31941 - 4.11855i) q^{19} +(2.20299 - 6.52832i) q^{20} +(2.74992 + 3.34296i) q^{21} +(7.21171 - 3.12135i) q^{22} +(-4.22435 + 2.27043i) q^{23} +(0.820363 + 4.55425i) q^{24} +(-6.37607 + 2.55259i) q^{25} +(-5.39340 + 1.74714i) q^{26} +(5.21684 + 1.53180i) q^{27} +(3.71944 - 3.76374i) q^{28} +(0.241846 - 0.0710123i) q^{29} +(5.05118 - 6.16618i) q^{30} +(5.77285 - 0.551241i) q^{31} +(5.43472 - 1.56965i) q^{32} +(9.08077 - 0.432570i) q^{33} +(3.55947 + 5.78911i) q^{34} +(-9.09019 - 0.666846i) q^{35} +(0.117420 - 0.635693i) q^{36} +(-2.45250 - 7.08604i) q^{37} +(-4.07370 - 7.39220i) q^{38} +(-6.55134 - 0.312079i) q^{39} +(-8.13235 - 5.36741i) q^{40} +(-3.65865 + 3.17024i) q^{41} +(5.56326 - 2.55442i) q^{42} +(0.538681 - 0.246007i) q^{43} +(-1.66674 - 10.9875i) q^{44} +(-0.964323 + 0.556752i) q^{45} +(1.58080 + 6.59553i) q^{46} +(-0.0686439 + 0.118895i) q^{47} +(6.52357 + 0.521070i) q^{48} +(-6.04934 - 3.52214i) q^{49} +(1.19045 + 9.63964i) q^{50} +(1.48790 + 7.71996i) q^{51} +(0.443524 + 8.00536i) q^{52} +(0.258823 - 5.43336i) q^{53} +(3.97651 - 6.58111i) q^{54} +(-12.5357 + 14.4669i) q^{55} +(-3.80494 - 6.44379i) q^{56} +(-1.38964 - 9.66516i) q^{57} +(-0.00986323 - 0.356324i) q^{58} +(4.06587 + 2.09610i) q^{59} +(-6.60971 - 9.13149i) q^{60} +(-0.975104 + 0.694368i) q^{61} +(1.32866 - 8.09284i) q^{62} +(-0.853099 + 0.0594477i) q^{63} +(-0.185911 - 7.99784i) q^{64} +(9.99504 - 9.53025i) q^{65} +(2.68421 - 12.5734i) q^{66} +(-2.24996 - 5.62012i) q^{67} +(9.20023 - 2.77903i) q^{68} +(-0.983170 + 7.78455i) q^{69} +(-4.19098 + 12.1897i) q^{70} +(-6.44292 - 0.926352i) q^{71} +(-0.826910 - 0.389878i) q^{72} +(15.4290 - 3.74303i) q^{73} +(-10.5744 + 0.797476i) q^{74} +(-2.64915 + 10.9200i) q^{75} +(-11.5779 + 2.90391i) q^{76} +(-13.5249 + 5.76249i) q^{77} +(-2.79002 + 8.84594i) q^{78} +(3.45834 - 0.164741i) q^{79} +(-10.2732 + 9.18425i) q^{80} +(6.23014 - 4.89944i) q^{81} +(3.01530 + 6.14657i) q^{82} +(2.70143 - 3.11762i) q^{83} +(-1.48616 - 8.52884i) q^{84} +(-13.9266 - 8.95008i) q^{85} +(-0.142079 - 0.825353i) q^{86} +(0.134878 - 0.389704i) q^{87} +(-15.6259 - 1.68438i) q^{88} +(0.0334635 - 0.350446i) q^{89} +(0.413460 + 1.51948i) q^{90} +(10.1086 - 3.21101i) q^{91} +(9.58920 + 0.217575i) q^{92} +(4.74392 - 8.21671i) q^{93} +(0.137819 + 0.136755i) q^{94} +(16.7482 + 11.9263i) q^{95} +(3.06578 - 8.73257i) q^{96} +(5.48928 - 4.75649i) q^{97} +(-6.99848 + 7.00152i) q^{98} +(-0.971002 + 1.51091i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9}+O(q^{10}) \) 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9	\( 1840 q - 7 q^{2} - 11 q^{4} - 54 q^{5} - 40 q^{8} + 66 q^{9} - 27 q^{10} - 27 q^{12} - 14 q^{14} - 19 q^{16} - 54 q^{17} - q^{18} - 40 q^{21} - 56 q^{22} - 78 q^{24} - 94 q^{25} - 9 q^{26} + 12 q^{28} - 120 q^{29} - 19 q^{30} + 3 q^{32} - 54 q^{33} - 114 q^{36} - 2 q^{37} - 87 q^{38} - 57 q^{40} - 114 q^{42} + 72 q^{44} - 132 q^{45} - 9 q^{46} - 20 q^{49} - 186 q^{50} + 3 q^{52} - 34 q^{53} - 51 q^{54} - 93 q^{56} - 64 q^{57} + 22 q^{58} - 11 q^{60} - 54 q^{61} - 8 q^{64} - 46 q^{65} + 150 q^{66} - 30 q^{68} - 10 q^{70} + 43 q^{72} - 54 q^{73} + 6 q^{74} - 16 q^{77} - 212 q^{78} + 216 q^{80} - 58 q^{81} - 57 q^{82} - 102 q^{84} + 152 q^{85} + 3 q^{86} + 144 q^{88} - 174 q^{89} - 250 q^{92} - 64 q^{93} + 216 q^{94} - 69 q^{96} - 44 q^{98}+O(q^{100}) \) 1840 * q - 7 * q^2 - 11 * q^4 - 54 * q^5 - 40 * q^8 + 66 * q^9 - 27 * q^10 - 27 * q^12 - 14 * q^14 - 19 * q^16 - 54 * q^17 - q^18 - 40 * q^21 - 56 * q^22 - 78 * q^24 - 94 * q^25 - 9 * q^26 + 12 * q^28 - 120 * q^29 - 19 * q^30 + 3 * q^32 - 54 * q^33 - 114 * q^36 - 2 * q^37 - 87 * q^38 - 57 * q^40 - 114 * q^42 + 72 * q^44 - 132 * q^45 - 9 * q^46 - 20 * q^49 - 186 * q^50 + 3 * q^52 - 34 * q^53 - 51 * q^54 - 93 * q^56 - 64 * q^57 + 22 * q^58 - 11 * q^60 - 54 * q^61 - 8 * q^64 - 46 * q^65 + 150 * q^66 - 30 * q^68 - 10 * q^70 + 43 * q^72 - 54 * q^73 + 6 * q^74 - 16 * q^77 - 212 * q^78 + 216 * q^80 - 58 * q^81 - 57 * q^82 - 102 * q^84 + 152 * q^85 + 3 * q^86 + 144 * q^88 - 174 * q^89 - 250 * q^92 - 64 * q^93 + 216 * q^94 - 69 * q^96 - 44 * q^98

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