LMFDB - Embedded newform 403.2.bs.a.101.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(4,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 18]))

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

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

chi := DirichletCharacter("403.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.bs (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$36$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			101.20
Character	$\chi$	$=$	403.101
Dual form			403.2.bs.a.4.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0550517 + 0.258998i) q^{2} +(-1.89412 + 2.10363i) q^{3} +(1.76304 - 0.784957i) q^{4} +4.39411i q^{5} +(-0.649111 - 0.374764i) q^{6} +(0.553765 + 1.24378i) q^{7} +(0.611633 + 0.841841i) q^{8} +(-0.523995 - 4.98548i) q^{9} +O(q^{10})$	\(q+(0.0550517 + 0.258998i) q^{2} +(-1.89412 + 2.10363i) q^{3} +(1.76304 - 0.784957i) q^{4} +4.39411i q^{5} +(-0.649111 - 0.374764i) q^{6} +(0.553765 + 1.24378i) q^{7} +(0.611633 + 0.841841i) q^{8} +(-0.523995 - 4.98548i) q^{9} +(-1.13807 + 0.241903i) q^{10} +(-0.790074 - 0.0830401i) q^{11} +(-1.68815 + 5.19559i) q^{12} +(1.86721 + 3.08440i) q^{13} +(-0.291650 + 0.211896i) q^{14} +(-9.24359 - 8.32296i) q^{15} +(2.39833 - 2.66362i) q^{16} +(-0.311040 - 2.95935i) q^{17} +(1.26238 - 0.410173i) q^{18} +(3.72017 - 3.34966i) q^{19} +(3.44919 + 7.74700i) q^{20} +(-3.66534 - 1.19094i) q^{21} +(-0.0219877 - 0.209199i) q^{22} +(1.46843 + 0.653788i) q^{23} +(-2.92943 - 0.307895i) q^{24} -14.3082 q^{25} +(-0.696061 + 0.653405i) q^{26} +(4.60983 + 3.34924i) q^{27} +(1.95262 + 1.75815i) q^{28} +(-7.48597 + 1.59119i) q^{29} +(1.64676 - 2.85226i) q^{30} +(0.976804 - 5.48141i) q^{31} +(2.62423 + 1.51510i) q^{32} +(1.67118 - 1.50474i) q^{33} +(0.749343 - 0.243476i) q^{34} +(-5.46529 + 2.43331i) q^{35} +(-4.83721 - 8.37830i) q^{36} +(-1.72444 + 0.995604i) q^{37} +(1.07236 + 0.779113i) q^{38} +(-10.0252 - 1.91430i) q^{39} +(-3.69914 + 2.68758i) q^{40} +(2.48362 + 11.6845i) q^{41} +(0.106668 - 1.01488i) q^{42} +(1.12931 + 1.25423i) q^{43} +(-1.45812 + 0.473770i) q^{44} +(21.9068 - 2.30249i) q^{45} +(-0.0884901 + 0.416313i) q^{46} +(1.63765 - 0.532106i) q^{47} +(1.06054 + 10.0904i) q^{48} +(3.44359 - 3.82449i) q^{49} +(-0.787692 - 3.70580i) q^{50} +(6.81453 + 4.95105i) q^{51} +(5.71309 + 3.97225i) q^{52} +(4.74149 - 3.44489i) q^{53} +(-0.613667 + 1.37832i) q^{54} +(0.364887 - 3.47167i) q^{55} +(-0.708361 + 1.22692i) q^{56} +14.1705i q^{57} +(-0.824231 - 1.85125i) q^{58} +(0.926959 - 4.36100i) q^{59} +(-22.8300 - 7.41791i) q^{60} +(-0.0232552 + 0.0402792i) q^{61} +(1.47345 - 0.0487709i) q^{62} +(5.91066 - 3.41252i) q^{63} +(1.96725 - 6.05457i) q^{64} +(-13.5532 + 8.20472i) q^{65} +(0.481725 + 0.349994i) q^{66} +(9.35795 - 5.40282i) q^{67} +(-2.87134 - 4.97331i) q^{68} +(-4.15671 + 1.85069i) q^{69} +(-0.931095 - 1.28154i) q^{70} +(-1.79767 + 0.188942i) q^{71} +(3.87649 - 3.49041i) q^{72} +(-1.68423 + 2.31814i) q^{73} +(-0.352793 - 0.391816i) q^{74} +(27.1014 - 30.0992i) q^{75} +(3.92948 - 8.82576i) q^{76} +(-0.334232 - 1.02866i) q^{77} +(-0.0561009 - 2.70188i) q^{78} +(-1.29178 + 0.938531i) q^{79} +(11.7042 + 10.5385i) q^{80} +(-1.06692 + 0.226782i) q^{81} +(-2.88954 + 1.28651i) q^{82} +(10.8921 + 3.53906i) q^{83} +(-7.39699 + 0.777455i) q^{84} +(13.0037 - 1.36675i) q^{85} +(-0.262672 + 0.361537i) q^{86} +(10.8320 - 18.7616i) q^{87} +(-0.413329 - 0.715907i) q^{88} +(-16.8226 - 1.76813i) q^{89} +(1.80235 + 5.54705i) q^{90} +(-2.80231 + 4.03042i) q^{91} +3.10210 q^{92} +(9.68068 + 12.4373i) q^{93} +(0.227970 + 0.394856i) q^{94} +(14.7188 + 16.3469i) q^{95} +(-8.15781 + 2.65063i) q^{96} +(2.37371 + 5.33145i) q^{97} +(1.18011 + 0.681338i) q^{98} +3.98241i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9}+O(q^{10}) $ 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9	$ 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9} + 3 q^{10} - 18 q^{11} - 46 q^{12} - q^{13} - 32 q^{14} + 18 q^{15} + 21 q^{16} - 15 q^{17} - 15 q^{19} + 51 q^{20} - 10 q^{22} - 4 q^{23} - 51 q^{24} - 296 q^{25} - 6 q^{26} - 52 q^{27} + 21 q^{28} + q^{29} + 60 q^{30} + 138 q^{32} + 69 q^{33} - 10 q^{35} + 128 q^{36} - 18 q^{37} + 32 q^{38} - 14 q^{39} + 60 q^{40} - 15 q^{41} - 49 q^{42} - 36 q^{43} + 6 q^{45} - 69 q^{46} + 21 q^{48} - 23 q^{49} + 117 q^{50} + 8 q^{51} + 26 q^{52} - 48 q^{53} + 75 q^{54} + 46 q^{55} - 98 q^{56} - 21 q^{58} - 105 q^{59} - 74 q^{61} - 3 q^{62} - 90 q^{63} + 90 q^{64} + 89 q^{65} - 8 q^{66} + 6 q^{67} - 182 q^{68} + 29 q^{69} + 3 q^{71} - 183 q^{72} - 53 q^{74} - 38 q^{75} + 144 q^{76} - 128 q^{78} - 72 q^{79} - 72 q^{80} + 11 q^{81} - 11 q^{82} - 33 q^{84} + 72 q^{85} - 18 q^{87} - 14 q^{88} + 81 q^{89} - 34 q^{90} - 48 q^{91} + 8 q^{92} + 72 q^{93} - 6 q^{94} + 141 q^{97} + 96 q^{98}+O(q^{100}) $ 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9 + 3 * q^10 - 18 * q^11 - 46 * q^12 - q^13 - 32 * q^14 + 18 * q^15 + 21 * q^16 - 15 * q^17 - 15 * q^19 + 51 * q^20 - 10 * q^22 - 4 * q^23 - 51 * q^24 - 296 * q^25 - 6 * q^26 - 52 * q^27 + 21 * q^28 + q^29 + 60 * q^30 + 138 * q^32 + 69 * q^33 - 10 * q^35 + 128 * q^36 - 18 * q^37 + 32 * q^38 - 14 * q^39 + 60 * q^40 - 15 * q^41 - 49 * q^42 - 36 * q^43 + 6 * q^45 - 69 * q^46 + 21 * q^48 - 23 * q^49 + 117 * q^50 + 8 * q^51 + 26 * q^52 - 48 * q^53 + 75 * q^54 + 46 * q^55 - 98 * q^56 - 21 * q^58 - 105 * q^59 - 74 * q^61 - 3 * q^62 - 90 * q^63 + 90 * q^64 + 89 * q^65 - 8 * q^66 + 6 * q^67 - 182 * q^68 + 29 * q^69 + 3 * q^71 - 183 * q^72 - 53 * q^74 - 38 * q^75 + 144 * q^76 - 128 * q^78 - 72 * q^79 - 72 * q^80 + 11 * q^81 - 11 * q^82 - 33 * q^84 + 72 * q^85 - 18 * q^87 - 14 * q^88 + 81 * q^89 - 34 * q^90 - 48 * q^91 + 8 * q^92 + 72 * q^93 - 6 * q^94 + 141 * q^97 + 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{5}\right)$

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 $

$2$	0.0550517	+	0.258998i	0.0389275	+	0.183139i	0.993316	−	0.115429i	$-0.0368243\pi$
$2$	0.0550517	+	0.258998i	0.0389275	+	0.183139i	−0.954388	+	0.298568i	$0.903491\pi$
$3$	−1.89412	+	2.10363i	−1.09357	+	1.21453i	−0.118424	+	0.992963i	$0.537784\pi$
$3$	−1.89412	+	2.10363i	−1.09357	+	1.21453i	−0.975145	+	0.221569i	$0.928882\pi$
$4$	1.76304	−	0.784957i	0.881521	−	0.392478i
$5$			4.39411i			1.96511i	0.185983	+	0.982553i	$0.440453\pi$
$5$			4.39411i			1.96511i	−0.185983	+	0.982553i	$0.559547\pi$
$6$	−0.649111	−	0.374764i	−0.264998	−	0.152997i
$7$	0.553765	+	1.24378i	0.209304	+	0.470103i	0.987441	−	0.157991i	$-0.0505017\pi$
$7$	0.553765	+	1.24378i	0.209304	+	0.470103i	−0.778137	+	0.628095i	$0.783835\pi$
$8$	0.611633	+	0.841841i	0.216245	+	0.297636i
$9$	−0.523995	−	4.98548i	−0.174665	−	1.66183i
$10$	−1.13807	+	0.241903i	−0.359888	+	0.0764966i
$11$	−0.790074	−	0.0830401i	−0.238216	−	0.0250375i	−0.0153320	−	0.999882i	$-0.504881\pi$
$11$	−0.790074	−	0.0830401i	−0.238216	−	0.0250375i	−0.222884	+	0.974845i	$0.571547\pi$
$12$	−1.68815	+	5.19559i	−0.487327	+	1.49984i
$13$	1.86721	+	3.08440i	0.517870	+	0.855459i
$13$	1.86721	+	3.08440i	0.517870	+	0.855459i
$14$	−0.291650	+	0.211896i	−0.0779468	+	0.0566316i
$15$	−9.24359	−	8.32296i	−2.38668	−	2.14898i
$16$	2.39833	−	2.66362i	0.599583	−	0.665904i
$17$	−0.311040	−	2.95935i	−0.0754384	−	0.717748i	−0.965234	−	0.261388i	$-0.915820\pi$
$17$	−0.311040	−	2.95935i	−0.0754384	−	0.717748i	0.889795	−	0.456360i	$-0.150847\pi$
$18$	1.26238	−	0.410173i	0.297547	−	0.0966787i
$19$	3.72017	−	3.34966i	0.853466	−	0.768465i	−0.121082	−	0.992643i	$-0.538636\pi$
$19$	3.72017	−	3.34966i	0.853466	−	0.768465i	0.974548	+	0.224178i	$0.0719697\pi$
$20$	3.44919	+	7.74700i	0.771262	+	1.73228i
$21$	−3.66534	−	1.19094i	−0.799843	−	0.259885i
$22$	−0.0219877	−	0.209199i	−0.00468780	−	0.0446014i
$23$	1.46843	+	0.653788i	0.306189	+	0.136324i	0.554079	−	0.832464i	$-0.313070\pi$
$23$	1.46843	+	0.653788i	0.306189	+	0.136324i	−0.247890	+	0.968788i	$0.579737\pi$
$24$	−2.92943	−	0.307895i	−0.597967	−	0.0628489i
$25$	−14.3082			−2.86164
$26$	−0.696061	+	0.653405i	−0.136509	+	0.128143i
$27$	4.60983	+	3.34924i	0.887162	+	0.644561i
$28$	1.95262	+	1.75815i	0.369011	+	0.332259i
$29$	−7.48597	+	1.59119i	−1.39011	+	0.295477i	−0.841344	−	0.540500i	$-0.818235\pi$
$29$	−7.48597	+	1.59119i	−1.39011	+	0.295477i	−0.548765	+	0.835977i	$0.684902\pi$
$30$	1.64676	−	2.85226i	0.300655	−	0.520750i
$31$	0.976804	−	5.48141i	0.175439	−	0.984490i
$31$	0.976804	−	5.48141i	0.175439	−	0.984490i
$32$	2.62423	+	1.51510i	0.463903	+	0.267834i
$33$	1.67118	−	1.50474i	0.290915	−	0.261941i
$34$	0.749343	−	0.243476i	0.128511	−	0.0417558i
$35$	−5.46529	+	2.43331i	−0.923803	+	0.411304i
$36$	−4.83721	−	8.37830i	−0.806202	−	1.39638i
$37$	−1.72444	+	0.995604i	−0.283496	+	0.163676i	−0.635005	−	0.772508i	$-0.719002\pi$
$37$	−1.72444	+	0.995604i	−0.283496	+	0.163676i	0.351509	+	0.936184i	$0.385669\pi$
$38$	1.07236	+	0.779113i	0.173959	+	0.126389i
$39$	−10.0252	−	1.91430i	−1.60531	−	0.306534i
$40$	−3.69914	+	2.68758i	−0.584886	+	0.424944i
$41$	2.48362	+	11.6845i	0.387876	+	1.82481i	0.546480	+	0.837472i	$0.315968\pi$
$41$	2.48362	+	11.6845i	0.387876	+	1.82481i	−0.158603	+	0.987342i	$0.550699\pi$
$42$	0.106668	−	1.01488i	0.0164593	−	0.156599i
$43$	1.12931	+	1.25423i	0.172218	+	0.191268i	0.823075	−	0.567933i	$-0.192257\pi$
$43$	1.12931	+	1.25423i	0.172218	+	0.191268i	−0.650857	+	0.759201i	$0.725590\pi$
$44$	−1.45812	+	0.473770i	−0.219819	+	0.0714236i
$45$	21.9068	−	2.30249i	3.26567	−	0.343235i
$46$	−0.0884901	+	0.416313i	−0.0130472	+	0.0613820i
$47$	1.63765	−	0.532106i	0.238876	−	0.0776156i	−0.187132	−	0.982335i	$-0.559919\pi$
$47$	1.63765	−	0.532106i	0.238876	−	0.0776156i	0.426009	+	0.904719i	$0.359919\pi$
$48$	1.06054	+	10.0904i	0.153076	+	1.45643i
$49$	3.44359	−	3.82449i	0.491941	−	0.546356i
$50$	−0.787692	−	3.70580i	−0.111396	−	0.524079i
$51$	6.81453	+	4.95105i	0.954225	+	0.693285i
$52$	5.71309	+	3.97225i	0.792263	+	0.550852i
$53$	4.74149	−	3.44489i	0.651293	−	0.473192i	−0.212418	−	0.977179i	$-0.568134\pi$
$53$	4.74149	−	3.44489i	0.651293	−	0.473192i	0.863711	+	0.503987i	$0.168134\pi$
$54$	−0.613667	+	1.37832i	−0.0835095	+	0.187565i
$55$	0.364887	−	3.47167i	0.0492014	−	0.468120i
$56$	−0.708361	+	1.22692i	−0.0946588	+	0.163954i
$57$			14.1705i			1.87693i
$58$	−0.824231	−	1.85125i	−0.108227	−	0.243081i
$59$	0.926959	−	4.36100i	0.120680	−	0.567754i	−0.875709	−	0.482840i	$-0.839605\pi$
$59$	0.926959	−	4.36100i	0.120680	−	0.567754i	0.996388	−	0.0849135i	$-0.0270614\pi$
$60$	−22.8300	−	7.41791i	−2.94734	−	0.957648i
$61$	−0.0232552	+	0.0402792i	−0.00297753	+	0.00515723i	−0.867510	−	0.497419i	$-0.834281\pi$
$61$	−0.0232552	+	0.0402792i	−0.00297753	+	0.00515723i	0.864533	+	0.502576i	$0.167614\pi$
$62$	1.47345	−	0.0487709i	0.187128	−	0.00619391i
$63$	5.91066	−	3.41252i	0.744673	−	0.429937i
$64$	1.96725	−	6.05457i	0.245906	−	0.756821i
$65$	−13.5532	+	8.20472i	−1.68107	+	1.01767i
$66$	0.481725	+	0.349994i	0.0592962	+	0.0430812i
$67$	9.35795	−	5.40282i	1.14326	−	0.660059i	0.196021	−	0.980600i	$-0.437198\pi$
$67$	9.35795	−	5.40282i	1.14326	−	0.660059i	0.947235	+	0.320541i	$0.103865\pi$
$68$	−2.87134	−	4.97331i	−0.348201	−	0.603102i
$69$	−4.15671	+	1.85069i	−0.500409	+	0.222796i
$70$	−0.931095	−	1.28154i	−0.111287	−	0.153174i
$71$	−1.79767	+	0.188942i	−0.213344	+	0.0224233i	−0.210597	−	0.977573i	$-0.567541\pi$
$71$	−1.79767	+	0.188942i	−0.213344	+	0.0224233i	−0.00274639	+	0.999996i	$0.500874\pi$
$72$	3.87649	−	3.49041i	0.456849	−	0.411348i
$73$	−1.68423	+	2.31814i	−0.197124	+	0.271317i	−0.896124	−	0.443804i	$-0.853629\pi$
$73$	−1.68423	+	2.31814i	−0.197124	+	0.271317i	0.699000	+	0.715121i	$0.253629\pi$
$74$	−0.352793	−	0.391816i	−0.0410113	−	0.0455477i
$75$	27.1014	−	30.0992i	3.12940	−	3.47555i
$76$	3.92948	−	8.82576i	0.450743	−	1.01238i
$77$	−0.334232	−	1.02866i	−0.0380893	−	0.117227i
$78$	−0.0561009	−	2.70188i	−0.00635218	−	0.305928i
$79$	−1.29178	+	0.938531i	−0.145336	+	0.105593i	−0.658077	−	0.752950i	$-0.728630\pi$
$79$	−1.29178	+	0.938531i	−0.145336	+	0.105593i	0.512741	+	0.858543i	$0.328630\pi$
$80$	11.7042	+	10.5385i	1.30857	+	1.17824i
$81$	−1.06692	+	0.226782i	−0.118547	+	0.0251980i
$82$	−2.88954	+	1.28651i	−0.319096	+	0.142071i
$83$	10.8921	+	3.53906i	1.19557	+	0.388463i	0.838128	−	0.545474i	$-0.183650\pi$
$83$	10.8921	+	3.53906i	1.19557	+	0.388463i	0.357438	+	0.933937i	$0.383650\pi$
$84$	−7.39699	+	0.777455i	−0.807078	+	0.0848273i
$85$	13.0037	−	1.36675i	1.41045	−	0.148244i
$86$	−0.262672	+	0.361537i	−0.0283246	+	0.0389855i
$87$	10.8320	−	18.7616i	1.16131	−	2.01146i
$88$	−0.413329	−	0.715907i	−0.0440610	−	0.0763159i
$89$	−16.8226	−	1.76813i	−1.78319	−	0.187421i	−0.845288	−	0.534312i	$-0.820571\pi$
$89$	−16.8226	−	1.76813i	−1.78319	−	0.187421i	−0.937906	+	0.346891i	$0.887238\pi$
$90$	1.80235	+	5.54705i	0.189984	+	0.584710i
$91$	−2.80231	+	4.03042i	−0.293762	+	0.422503i
$92$	3.10210			0.323416
$93$	9.68068	+	12.4373i	1.00384	+	1.28968i
$94$	0.227970	+	0.394856i	0.0235133	+	0.0407262i
$95$	14.7188	+	16.3469i	1.51011	+	1.67715i
$96$	−8.15781	+	2.65063i	−0.832603	+	0.270529i
$97$	2.37371	+	5.33145i	0.241014	+	0.541327i	0.993036	−	0.117812i	$-0.0375879\pi$
$97$	2.37371	+	5.33145i	0.241014	+	0.541327i	−0.752022	+	0.659138i	$0.770921\pi$
$98$	1.18011	+	0.681338i	0.119209	+	0.0688255i
$99$			3.98241i			0.400247i
$100$	−25.2260	+	11.2313i	−2.52260	+	1.12313i
$101$	11.1177	+	4.94994i	1.10626	+	0.492537i	0.876836	−	0.480790i	$-0.159650\pi$
$101$	11.1177	+	4.94994i	1.10626	+	0.492537i	0.229421	+	0.973327i	$0.426317\pi$
$102$	−0.907160	+	2.03751i	−0.0898222	+	0.201744i
$103$	−3.30850	+	10.1825i	−0.325996	+	1.00331i	0.644993	+	0.764188i	$0.276860\pi$
$103$	−3.30850	+	10.1825i	−0.325996	+	1.00331i	−0.970989	+	0.239124i	$0.923140\pi$
$104$	−1.45453	+	3.45842i	−0.142628	+	0.339126i
$105$	5.23313	−	16.1059i	0.510701	−	1.57178i
$106$	1.15325	+	1.03839i	0.112013	+	0.100857i
$107$	1.56247	+	0.695656i	0.151050	+	0.0672516i	0.480869	−	0.876792i	$-0.340321\pi$
$107$	1.56247	+	0.695656i	0.151050	+	0.0672516i	−0.329820	+	0.944044i	$0.606988\pi$
$108$	10.7563	+	2.28633i	1.03503	+	0.220002i
$109$	12.0993	−	3.93130i	1.15890	−	0.376550i	0.334413	−	0.942427i	$-0.391462\pi$
$109$	12.0993	−	3.93130i	1.15890	−	0.376550i	0.824490	+	0.565877i	$0.191462\pi$
$110$	0.919244	−	0.0966164i	0.0876465	−	0.00921201i
$111$	1.17190	−	5.51337i	0.111232	−	0.523306i
$112$	4.64106	+	1.50797i	0.438539	+	0.142490i
$113$	−6.71497	+	2.98970i	−0.631691	+	0.281247i	−0.697499	−	0.716585i	$-0.745704\pi$
$113$	−6.71497	+	2.98970i	−0.631691	+	0.281247i	0.0658085	+	0.997832i	$0.479037\pi$
$114$	−3.67014	+	0.780112i	−0.343740	+	0.0730642i
$115$	−2.87282	+	6.45245i	−0.267891	+	0.601694i
$116$	−11.9491	+	8.68150i	−1.10944	+	0.806057i
$117$	14.3988	−	10.9251i	1.33117	−	1.01003i
$118$	1.18052			0.108676
$119$	3.50853	−	2.02565i	0.321626	−	0.185691i
$120$	1.35293	−	12.8722i	0.123505	−	1.17507i
$121$	−10.1423	−	2.15581i	−0.922028	−	0.195983i
$122$	−0.0117125	−	0.00380562i	−0.00106040	−	0.000344544i
$123$	−29.2842	−	16.9072i	−2.64046	−	1.52447i
$124$	−2.58052	−	10.4307i	−0.231738	−	0.936705i
$125$		−	40.9013i		−	3.65832i
$126$	1.20923	+	1.34298i	0.107727	+	0.119642i
$127$	−2.24356	+	2.49173i	−0.199084	+	0.221105i	−0.834418	−	0.551133i	$-0.814196\pi$
$127$	−2.24356	+	2.49173i	−0.199084	+	0.221105i	0.635334	+	0.772238i	$0.280863\pi$
$128$	7.70362	+	0.809683i	0.680910	+	0.0715666i
$129$	−4.77748			−0.420633
$130$	−2.87113	−	3.05857i	−0.251815	−	0.268254i
$131$	13.1954	+	9.58703i	1.15289	+	0.837623i	0.988862	−	0.148833i	$-0.0475517\pi$
$131$	13.1954	+	9.58703i	1.15289	+	0.837623i	0.164026	+	0.986456i	$0.447552\pi$
$132$	1.76520	−	3.96471i	0.153641	−	0.345084i
$133$	6.22633	+	2.77214i	0.539891	+	0.240375i
$134$	1.91449	+	2.12626i	0.165387	+	0.183681i
$135$	−14.7169	+	20.2561i	−1.26663	+	1.74337i
$136$	2.30106	−	2.07188i	0.197314	−	0.177663i
$137$	−1.51766	+	7.14004i	−0.129663	+	0.610015i	0.864546	+	0.502553i	$0.167606\pi$
$137$	−1.51766	+	7.14004i	−0.129663	+	0.610015i	−0.994209	+	0.107462i	$0.965728\pi$
$138$	−0.708158	−	0.974696i	−0.0602824	−	0.0829717i
$139$	−13.8700	−	2.94816i	−1.17644	−	0.250060i	−0.422103	−	0.906548i	$-0.638708\pi$
$139$	−13.8700	−	2.94816i	−1.17644	−	0.250060i	−0.754336	+	0.656488i	$0.772041\pi$
$140$	−7.72550	+	8.58004i	−0.652924	+	0.725146i
$141$	−1.98255	+	4.45289i	−0.166961	+	0.375001i
$142$	−0.147900	−	0.455190i	−0.0124115	−	0.0381987i
$143$	−1.21910	−	2.59196i	−0.101946	−	0.216750i
$144$	−14.5361	−	10.5611i	−1.21134	−	0.880093i
$145$	−6.99187	−	32.8942i	−0.580643	−	2.73171i
$146$	−0.693113	−	0.308594i	−0.0573624	−	0.0255394i
$147$	1.52276	+	14.4881i	0.125595	+	1.19496i
$148$	−2.25875	+	3.10890i	−0.185668	+	0.255550i
$149$	3.12357	+	1.80340i	0.255893	+	0.147740i	0.622460	−	0.782652i	$-0.286133\pi$
$149$	3.12357	+	1.80340i	0.255893	+	0.147740i	−0.366567	+	0.930392i	$0.619467\pi$
$150$	9.28761	+	5.36221i	0.758330	+	0.437822i
$151$	−0.345739	+	0.475869i	−0.0281359	+	0.0387257i	−0.822853	−	0.568254i	$-0.807619\pi$
$151$	−0.345739	+	0.475869i	−0.0281359	+	0.0387257i	0.794717	+	0.606980i	$0.207619\pi$
$152$	5.09526	+	1.08303i	0.413280	+	0.0878455i
$153$	−14.5908	+	3.10137i	−1.17960	+	0.250731i
$154$	0.248021	−	0.143195i	0.0199861	−	0.0115390i
$155$	24.0859	+	4.29218i	1.93463	+	0.344756i
$156$	−19.1774	+	4.49431i	−1.53542	+	0.359833i
$157$	−5.17118	+	15.9153i	−0.412705	+	1.27018i	0.501582	+	0.865110i	$0.332752\pi$
$157$	−5.17118	+	15.9153i	−0.412705	+	1.27018i	−0.914287	+	0.405067i	$0.867248\pi$
$158$	−0.314192	−	0.282900i	−0.0249958	−	0.0225063i
$159$	−1.73415	+	16.4994i	−0.137527	+	1.30848i
$160$	−6.65751	+	11.5312i	−0.526323	+	0.911618i
$161$			2.18845i			0.172474i
$162$	−0.117472	−	0.263847i	−0.00922948	−	0.0207298i
$163$	−14.4468	+	1.51842i	−1.13156	+	0.118932i	−0.651746	−	0.758437i	$-0.725963\pi$
$163$	−14.4468	+	1.51842i	−1.13156	+	0.118932i	−0.479816	+	0.877369i	$0.659297\pi$
$164$	13.5506	+	18.6508i	1.05812	+	1.45638i
$165$	6.61197	+	7.34334i	0.514741	+	0.571678i
$166$	−0.316981	+	3.01587i	−0.0246025	+	0.234077i
$167$	−3.53365	−	16.6245i	−0.273442	−	1.28644i	−0.873633	−	0.486585i	$-0.838242\pi$
$167$	−3.53365	−	16.6245i	−0.273442	−	1.28644i	0.600191	−	0.799856i	$-0.295091\pi$
$168$	−1.23926	−	3.81406i	−0.0956111	−	0.294261i
$169$	−6.02707	+	11.5184i	−0.463621	+	0.886034i
$170$	1.06986	+	3.29270i	0.0820547	+	0.252538i
$171$	−18.6490	−	16.7916i	−1.42613	−	1.28409i
$172$	2.97554	+	1.32479i	0.226882	+	0.101015i
$173$	−16.6116	−	3.53091i	−1.26296	−	0.268450i	−0.472699	−	0.881224i	$-0.656720\pi$
$173$	−16.6116	−	3.53091i	−1.26296	−	0.268450i	−0.790258	+	0.612774i	$0.790054\pi$
$174$	5.45554	+	1.77261i	0.413584	+	0.134381i
$175$	−7.92339	−	17.7962i	−0.598952	−	1.34527i
$176$	−2.11605	+	1.90530i	−0.159503	+	0.143617i
$177$	7.41816	+	10.2102i	0.557583	+	0.767447i
$178$	−0.468172	−	4.45436i	−0.0350910	−	0.333869i
$179$	0.654178	−	6.22409i	0.0488956	−	0.465210i	−0.942490	−	0.334234i	$-0.891522\pi$
$179$	0.654178	−	6.22409i	0.0488956	−	0.465210i	0.991386	−	0.130976i	$-0.0418110\pi$
$180$	36.8152	−	21.2552i	2.74404	−	1.58427i
$181$	10.9578			0.814490			0.407245	−	0.913319i	$-0.366489\pi$
$181$	10.9578			0.814490			0.407245	+	0.913319i	$0.366489\pi$
$182$	−1.19814	−	0.503912i	−0.0888124	−	0.0373524i
$183$	−0.0406845	−	0.125214i	−0.00300748	−	0.00925608i
$184$	0.347756	+	1.63606i	0.0256369	+	0.120612i
$185$	−4.37479	−	7.57737i	−0.321641	−	0.557099i
$186$	−2.68829	+	3.19197i	−0.197115	+	0.234047i
$187$			2.36393i			0.172868i
$188$	2.46957	−	2.22361i	0.180112	−	0.162174i
$189$	−1.61294	+	7.58829i	−0.117324	+	0.551967i
$190$	−3.42351	+	4.71206i	−0.248368	+	0.341849i
$191$	7.88084	−	13.6500i	0.570238	−	0.987681i	−0.426304	−	0.904580i	$-0.640184\pi$
$191$	7.88084	−	13.6500i	0.570238	−	0.987681i	0.996541	−	0.0831004i	$-0.0264822\pi$
$192$	9.01038	+	15.6064i	0.650268	+	1.12630i
$193$	−14.3843	−	1.51185i	−1.03540	−	0.108825i	−0.428453	−	0.903564i	$-0.640941\pi$
$193$	−14.3843	−	1.51185i	−1.03540	−	0.108825i	−0.606952	+	0.794739i	$0.707608\pi$
$194$	−1.25016	+	0.908293i	−0.0897561	+	0.0652116i
$195$	8.41167	−	44.0516i	0.602372	−	3.15460i
$196$	3.06913	−	9.44581i	0.219224	−	0.674701i
$197$	12.9622	+	1.36238i	0.923520	+	0.0970658i	0.554338	−	0.832291i	$-0.312971\pi$
$197$	12.9622	+	1.36238i	0.923520	+	0.0970658i	0.369182	+	0.929357i	$0.379638\pi$
$198$	−1.03144	+	0.219239i	−0.0733010	+	0.0155806i
$199$	17.5207	+	3.72413i	1.24201	+	0.263997i	0.781639	−	0.623731i	$-0.214384\pi$
$199$	17.5207	+	3.72413i	1.24201	+	0.263997i	0.460368	+	0.887728i	$0.347717\pi$
$200$	−8.75138	−	12.0452i	−0.618816	−	0.851727i
$201$	−6.35953	+	29.9192i	−0.448567	+	2.11034i
$202$	−0.669974	+	3.15198i	−0.0471392	+	0.221772i
$203$	−6.12456	−	8.42973i	−0.429859	−	0.591651i
$204$	15.9007	+	3.37979i	1.11327	+	0.236633i
$205$	−51.3431	+	10.9133i	−3.58595	+	0.762218i
$206$	−2.81939	−	0.296330i	−0.196436	−	0.0206463i
$207$	2.49000	−	7.66342i	0.173067	−	0.532644i
$208$	12.6939	+	2.42389i	0.880160	+	0.168067i
$209$	−3.21737	+	2.33755i	−0.222550	+	0.161692i
$210$	4.45950	+	0.468712i	0.307734	+	0.0323442i
$211$	3.93313	+	6.81237i	0.270768	+	0.468983i	0.969059	−	0.246831i	$-0.0793892\pi$
$211$	3.93313	+	6.81237i	0.270768	+	0.468983i	−0.698291	+	0.715814i	$0.746056\pi$
$212$	5.65535	−	9.79535i	0.388411	−	0.672747i
$213$	3.00753	−	4.13950i	0.206072	−	0.283634i
$214$	−0.0941569	+	0.442973i	−0.00643643	+	0.0302810i
$215$	−5.51121	+	4.96232i	−0.375861	+	0.338427i
$216$			5.92925i			0.403434i
$217$	7.35857	−	1.82049i	0.499532	−	0.123583i
$218$	1.68429	+	2.91727i	0.114074	+	0.197582i
$219$	−1.68638	−	7.93381i	−0.113955	−	0.536117i
$220$	−2.08180	−	6.40712i	−0.140355	−	0.431968i
$221$	8.54705	−	6.48510i	0.574937	−	0.436235i
$222$	1.49247			0.100168
$223$	10.9260	−	6.30810i	0.731656	−	0.422422i	−0.0873717	−	0.996176i	$-0.527847\pi$
$223$	10.9260	−	6.30810i	0.731656	−	0.422422i	0.819028	+	0.573754i	$0.194513\pi$
$224$	−0.431239	+	4.10297i	−0.0288134	+	0.274141i
$225$	7.49743	+	71.3333i	0.499829	+	4.75555i
$226$	−1.14400	−	1.57458i	−0.0760975	−	0.104739i
$227$	6.13655	−	5.52537i	0.407297	−	0.366732i	−0.439867	−	0.898063i	$-0.644975\pi$
$227$	6.13655	−	5.52537i	0.407297	−	0.366732i	0.847164	+	0.531331i	$0.178308\pi$
$228$	11.1232	+	24.9832i	0.736655	+	1.65455i
$229$	0.824195	+	0.267797i	0.0544643	+	0.0176965i	0.336122	−	0.941818i	$-0.390884\pi$
$229$	0.824195	+	0.267797i	0.0544643	+	0.0176965i	−0.281658	+	0.959515i	$0.590884\pi$
$230$	−1.82933	−	0.388835i	−0.120622	−	0.0256390i
$231$	2.79700	+	1.24530i	0.184029	+	0.0819349i
$232$	−5.91820	−	5.32877i	−0.388549	−	0.349851i
$233$	−2.75901	−	8.49137i	−0.180749	−	0.556288i	0.819100	−	0.573650i	$-0.194473\pi$
$233$	−2.75901	−	8.49137i	−0.180749	−	0.556288i	−0.999849	+	0.0173623i	$0.994473\pi$
$234$	3.62227	+	3.12782i	0.236795	+	0.204472i
$235$	2.33813	+	7.19603i	0.152523	+	0.469417i
$236$	−1.78893	−	8.41624i	−0.116449	−	0.547851i
$237$	0.472455	−	4.49511i	0.0306893	−	0.291989i
$238$	0.717790	+	0.797187i	0.0465274	+	0.0516740i
$239$	−13.0931	−	18.0211i	−0.846921	−	1.16569i	−0.984533	−	0.175201i	$-0.943942\pi$
$239$	−13.0931	−	18.0211i	−0.846921	−	1.16569i	0.137611	−	0.990486i	$-0.456058\pi$
$240$	−44.3384	+	4.66015i	−2.86203	+	0.300811i
$241$	1.50518	+	3.38070i	0.0969573	+	0.217770i	0.955512	−	0.294952i	$-0.0953038\pi$
$241$	1.50518	+	3.38070i	0.0969573	+	0.217770i	−0.858555	+	0.512722i	$0.828637\pi$
$242$		−	2.74552i		−	0.176489i
$243$	−7.00328	+	12.1300i	−0.449261	+	0.778142i
$244$	−0.00938247	+	0.0892683i	−0.000600651	+	0.00571482i
$245$	16.8052	+	15.1315i	1.07365	+	0.966717i
$246$	2.76679	−	8.51532i	0.176404	−	0.542917i
$247$	17.2780	+	5.22000i	1.09937	+	0.332141i
$248$	5.21192	−	2.53030i	0.330957	−	0.160674i
$249$	−28.0758	+	16.2096i	−1.77923	+	1.02724i
$250$	10.5934	−	2.25169i	0.669983	−	0.142409i
$251$	−24.4301	−	5.19278i	−1.54201	−	0.327765i	−0.643063	−	0.765814i	$-0.722336\pi$
$251$	−24.4301	−	5.19278i	−1.54201	−	0.327765i	−0.898951	+	0.438048i	$0.855670\pi$
$252$	7.74205	−	10.6560i	0.487703	−	0.671266i
$253$	−1.10588	−	0.638479i	−0.0695260	−	0.0401408i
$254$	−0.768864	−	0.443904i	−0.0482428	−	0.0278530i
$255$	−21.7554	+	29.9438i	−1.36238	+	1.87515i
$256$	−1.11650	−	10.6228i	−0.0697811	−	0.663923i
$257$	−4.04403	−	1.80052i	−0.252260	−	0.112313i	0.276711	−	0.960953i	$-0.410755\pi$
$257$	−4.04403	−	1.80052i	−0.252260	−	0.112313i	−0.528971	+	0.848640i	$0.677422\pi$
$258$	−0.263008	−	1.23736i	−0.0163742	−	0.0770345i
$259$	−2.19324	−	1.59348i	−0.136281	−	0.0990143i
$260$	−17.4545	+	25.1039i	−1.08248	+	1.55688i
$261$	11.8555	+	36.4874i	0.733835	+	2.25851i
$262$	−1.75659	+	3.94537i	−0.108523	+	0.243746i
$263$	2.92925	−	3.25326i	0.180625	−	0.200605i	−0.646032	−	0.763310i	$-0.723573\pi$
$263$	2.92925	−	3.25326i	0.180625	−	0.200605i	0.826657	+	0.562705i	$0.190239\pi$
$264$	2.28890	+	0.486520i	0.140872	+	0.0299432i
$265$	15.1372	+	20.8346i	0.929873	+	1.27986i
$266$	−0.375209	+	1.76522i	−0.0230055	+	0.108233i
$267$	35.5835	−	32.0395i	2.17767	−	1.96079i
$268$	12.2575	−	16.8710i	0.748745	−	1.03056i
$269$	15.9689	+	17.7352i	0.973640	+	1.08134i	0.996665	+	0.0816015i	$0.0260035\pi$
$269$	15.9689	+	17.7352i	0.973640	+	1.08134i	−0.0230254	+	0.999735i	$0.507330\pi$
$270$	−6.05648	−	2.69652i	−0.368586	−	0.164105i
$271$	6.04167	−	13.5698i	0.367005	−	0.824307i	−0.631786	−	0.775143i	$-0.717678\pi$
$271$	6.04167	−	13.5698i	0.367005	−	0.824307i	0.998791	−	0.0491639i	$-0.0156557\pi$
$272$	−8.62856	−	6.26902i	−0.523183	−	0.380115i
$273$	−3.17061	−	13.5291i	−0.191894	−	0.818820i
$274$	−1.93281			−0.116765
$275$	11.3045	+	1.18815i	0.681689	+	0.0716484i
$276$	−5.87574	+	6.52567i	−0.353678	+	0.392799i
$277$	−3.59601	−	3.99377i	−0.216063	−	0.239962i	0.625364	−	0.780333i	$-0.284951\pi$
$277$	−3.59601	−	3.99377i	−0.216063	−	0.239962i	−0.841427	+	0.540371i	$0.818284\pi$
$278$		−	3.75461i		−	0.225186i
$279$	−27.8393	−	1.99760i	−1.66670	−	0.119593i
$280$	−5.39121	−	3.11262i	−0.322187	−	0.186014i
$281$	−5.66068	−	1.83927i	−0.337688	−	0.109721i	0.135264	−	0.990810i	$-0.456812\pi$
$281$	−5.66068	−	1.83927i	−0.337688	−	0.109721i	−0.472952	+	0.881088i	$0.656812\pi$
$282$	−1.26243	−	0.268338i	−0.0751767	−	0.0159793i
$283$	1.69017	−	16.0809i	0.100470	−	0.955910i	−0.821908	−	0.569621i	$-0.807090\pi$
$283$	1.69017	−	16.0809i	0.100470	−	0.955910i	0.922378	−	0.386289i	$-0.126243\pi$
$284$	−3.02105	+	1.74420i	−0.179266	+	0.103499i
$285$	−62.2668			−3.68837
$286$	0.604198	−	0.458437i	0.0357270	−	0.0271080i
$287$	−13.1576	+	9.55955i	−0.776668	+	0.564282i
$288$	6.17842	−	13.8769i	0.364067	−	0.817707i
$289$	7.96749	−	1.69354i	0.468676	−	0.0996202i
$290$	8.13461	−	3.62176i	0.477681	−	0.212677i
$291$	−15.7115	−	5.10497i	−0.921024	−	0.299259i
$292$	−1.14972	+	5.40902i	−0.0672824	+	0.316539i
$293$	19.0604	−	2.00333i	1.11352	−	0.117036i	0.470148	−	0.882588i	$-0.344201\pi$
$293$	19.0604	−	2.00333i	1.11352	−	0.117036i	0.643374	+	0.765552i	$0.277534\pi$
$294$	−3.66855	+	1.19199i	−0.213954	+	0.0695180i
$295$	19.1627	+	4.07316i	1.11570	+	0.237148i
$296$	−1.89286	−	0.842757i	−0.110020	−	0.0489843i
$297$	−3.36398	−	3.02894i	−0.195198	−	0.175757i
$298$	−0.295118	+	0.908280i	−0.0170957	+	0.0526152i
$299$	0.725322	+	5.74999i	0.0419465	+	0.332531i
$300$	24.1544	−	74.3396i	1.39455	−	4.29200i
$301$	−0.934605	+	2.09916i	−0.0538697	+	0.120993i
$302$	−0.142283	−	0.0633484i	−0.00818745	−	0.00364529i
$303$	−31.4712	+	14.0119i	−1.80797	+	0.804961i
$304$		−	17.9427i		−	1.02909i
$305$	−0.176991	−	0.102186i	−0.0101345	−	0.00585115i
$306$	−1.60650	−	3.60826i	−0.0918374	−	0.206270i
$307$	1.66781	−	0.541905i	0.0951871	−	0.0309282i	−0.261036	−	0.965329i	$-0.584064\pi$
$307$	1.66781	−	0.541905i	0.0951871	−	0.0309282i	0.356223	+	0.934401i	$0.384064\pi$
$308$	−1.39672	−	1.55121i	−0.0795854	−	0.0883886i
$309$	−15.1536	−	26.2467i	−0.862055	−	1.49312i
$310$	0.214305	+	6.47450i	0.0121717	+	0.367727i
$311$	−12.0328			−0.682318			−0.341159	−	0.940006i	$-0.610819\pi$
$311$	−12.0328			−0.682318			−0.341159	+	0.940006i	$0.610819\pi$
$312$	−4.52018	−	9.61044i	−0.255905	−	0.544084i
$313$	−5.32701	−	16.3949i	−0.301100	−	0.926692i	−0.981104	−	0.193483i	$-0.938022\pi$
$313$	−5.32701	−	16.3949i	−0.301100	−	0.926692i	0.680003	−	0.733209i	$-0.261978\pi$
$314$	−4.40671	−	0.463164i	−0.248685	−	0.0261378i
$315$	14.9950	+	25.9721i	0.844872	+	1.46336i
$316$	−1.54075	+	2.66866i	−0.0866740	+	0.150124i
$317$	−11.6019	+	15.9686i	−0.651625	+	0.896885i	−0.999168	−	0.0407788i	$-0.987016\pi$
$317$	−11.6019	+	15.9686i	−0.651625	+	0.896885i	0.347543	+	0.937664i	$0.387016\pi$
$318$	−4.36877	+	0.459176i	−0.244989	+	0.0257493i
$319$	6.04660	−	0.635523i	0.338545	−	0.0355825i
$320$	26.6045	+	8.64431i	1.48723	+	0.483232i
$321$	−4.42290	+	1.96920i	−0.246862	+	0.109910i
$322$	−0.566803	+	0.120478i	−0.0315867	+	0.00671396i
$323$	−11.0699	−	9.96742i	−0.615948	−	0.554602i
$324$	−1.70302	+	1.23732i	−0.0946122	+	0.0687398i
$325$	−26.7164	−	44.1323i	−1.48196	−	2.44802i
$326$	−1.18859	−	3.65811i	−0.0658300	−	0.202604i
$327$	−14.6475	+	32.8988i	−0.810008	+	1.81931i
$328$	−8.31744	+	9.23745i	−0.459254	+	0.510053i
$329$	1.56870	+	1.74221i	0.0864850	+	0.0960513i
$330$	−1.53791	+	2.11675i	−0.0846592	+	0.116523i
$331$	−18.7518	+	16.8842i	−1.03069	+	0.928040i	−0.997447	−	0.0714074i	$-0.977251\pi$
$331$	−18.7518	+	16.8842i	−1.03069	+	0.928040i	−0.0332454	+	0.999447i	$0.510584\pi$
$332$	21.9813	−	2.31032i	1.20638	−	0.126796i
$333$	5.86716	+	8.07546i	0.321518	+	0.442532i
$334$	4.11118	−	1.83041i	0.224954	−	0.100156i
$335$	23.7406	+	41.1199i	1.29709	+	2.24662i
$336$	−11.9629	+	6.90680i	−0.652631	+	0.376797i
$337$	9.35231	+	6.79485i	0.509453	+	0.370139i	0.812616	−	0.582800i	$-0.198043\pi$
$337$	9.35231	+	6.79485i	0.509453	+	0.370139i	−0.303163	+	0.952939i	$0.598043\pi$
$338$	−3.31505	−	0.926890i	−0.180315	−	0.0504162i
$339$	6.42972	−	19.7886i	0.349214	−	1.07477i
$340$	21.8533	−	12.6170i	1.18516	−	0.684252i
$341$	−1.22692	+	4.24960i	−0.0664416	+	0.230129i
$342$	3.32234	−	5.75447i	0.179652	−	0.311166i
$343$	15.7277	+	5.11024i	0.849215	+	0.275927i
$344$	−0.365135	+	1.71783i	−0.0196868	+	0.0926190i
$345$	−8.13212	−	18.2650i	−0.437819	−	0.983357i
$346$		−	4.49676i		−	0.241747i
$347$	15.6634	−	27.1298i	0.840855	−	1.45640i	−0.0483175	−	0.998832i	$-0.515386\pi$
$347$	15.6634	−	27.1298i	0.840855	−	1.45640i	0.889173	−	0.457572i	$-0.151281\pi$
$348$	4.37025	−	41.5802i	0.234270	−	2.22893i
$349$	11.4761	−	25.7758i	0.614303	−	1.37975i	−0.291714	−	0.956506i	$-0.594226\pi$
$349$	11.4761	−	25.7758i	0.614303	−	1.37975i	0.906017	−	0.423241i	$-0.139108\pi$
$350$	4.17299	−	3.03186i	0.223056	−	0.162059i
$351$	−1.72288	+	20.4723i	−0.0919608	+	1.09273i
$352$	−1.94752	−	1.41496i	−0.103803	−	0.0754174i
$353$	1.52626	+	7.18051i	0.0812348	+	0.382180i	0.999918	−	0.0128157i	$-0.00407949\pi$
$353$	1.52626	+	7.18051i	0.0812348	+	0.382180i	−0.918683	+	0.394995i	$0.870746\pi$
$354$	−2.23604	+	2.48338i	−0.118844	+	0.131990i
$355$	−0.830233	−	7.89914i	−0.0440642	−	0.419243i
$356$	−31.0469	+	10.0877i	−1.64548	+	0.534649i
$357$	−2.38435	+	11.2175i	−0.126193	+	0.593692i
$358$	1.64804	−	0.173216i	0.0871016	−	0.00915475i
$359$	6.35720	−	2.06558i	0.335520	−	0.109017i	−0.136412	−	0.990652i	$-0.543557\pi$
$359$	6.35720	−	2.06558i	0.335520	−	0.109017i	0.471932	+	0.881635i	$0.343557\pi$
$360$	15.3372	+	17.0337i	0.808343	+	0.897756i
$361$	0.633433	−	6.02671i	0.0333386	−	0.317195i
$362$	0.603249	+	2.83806i	0.0317060	+	0.149165i
$363$	23.7457	−	17.2523i	1.24633	−	0.905511i
$364$	−1.77689	+	9.30550i	−0.0931342	+	0.487741i
$365$	−10.1862	−	7.40067i	−0.533167	−	0.387369i
$366$	0.0301904	−	0.0174304i	0.00157808	−	0.000911104i
$367$	−17.4929	−	30.2986i	−0.913121	−	1.58157i	−0.809629	−	0.586942i	$-0.800332\pi$
$367$	−17.4929	−	30.2986i	−0.913121	−	1.58157i	−0.103492	−	0.994630i	$-0.533002\pi$
$368$	5.26323	−	2.34334i	0.274365	−	0.122155i
$369$	56.9515	−	18.5047i	2.96478	−	0.963315i
$370$	1.72168	−	1.55021i	0.0895061	−	0.0805916i
$371$	6.91035	+	3.98969i	0.358767	+	0.207134i
$372$	26.8302	+	14.3285i	1.39108	+	0.742898i
$373$	4.89079	−	8.47110i	0.253236	−	0.438617i	−0.711179	−	0.703011i	$-0.751839\pi$
$373$	4.89079	−	8.47110i	0.253236	−	0.438617i	0.964415	+	0.264394i	$0.0851719\pi$
$374$	−0.612255	+	0.130139i	−0.0316589	+	0.00672931i
$375$	86.0412	+	77.4719i	4.44315	+	4.00063i
$376$	1.44959	+	1.05319i	0.0747570	+	0.0543141i
$377$	−18.8857	−	20.1186i	−0.972665	−	1.03616i
$378$	−2.05415			−0.105654
$379$	13.0320	+	1.36972i	0.669410	+	0.0703578i	0.433136	−	0.901329i	$-0.357407\pi$
$379$	13.0320	+	1.36972i	0.669410	+	0.0703578i	0.236274	+	0.971686i	$0.424074\pi$
$380$	38.7814	+	17.2666i	1.98944	+	0.885757i
$381$	−0.992105	−	9.43925i	−0.0508271	−	0.483587i
$382$	3.96918	+	1.28967i	0.203081	+	0.0659850i
$383$	2.71364	+	6.09494i	0.138661	+	0.311437i	0.969506	−	0.245066i	$-0.0788095\pi$
$383$	2.71364	+	6.09494i	0.138661	+	0.311437i	−0.830846	+	0.556503i	$0.812143\pi$
$384$	−16.2948	+	14.6719i	−0.831542	+	0.748724i
$385$	4.52005	−	1.46865i	0.230363	−	0.0748494i
$386$	−0.400314	−	3.80874i	−0.0203755	−	0.193860i
$387$	5.66117	−	6.28737i	0.287773	−	0.319605i
$388$	8.36991	+	7.53630i	0.424918	+	0.382598i
$389$	18.7734	−	13.6397i	0.951848	−	0.691558i	0.000604997	−	1.00000i	$-0.499807\pi$
$389$	18.7734	−	13.6397i	0.951848	−	0.691558i	0.951243	+	0.308442i	$0.0998074\pi$
$390$	11.8724	−	0.246514i	0.601181	−	0.0124827i
$391$	1.47805	−	4.54896i	0.0747480	−	0.230051i
$392$	5.32583	+	0.559767i	0.268995	+	0.0282725i
$393$	−45.1612	+	9.59932i	−2.27808	+	0.484221i
$394$	0.360738	+	3.43219i	0.0181737	+	0.172911i
$395$	−4.12401	−	5.67621i	−0.207501	−	0.285601i
$396$	3.12602	+	7.02115i	0.157088	+	0.352826i
$397$	−1.11474	−	0.643595i	−0.0559472	−	0.0323011i	0.471766	−	0.881724i	$-0.343617\pi$
$397$	−1.11474	−	0.643595i	−0.0559472	−	0.0323011i	−0.527713	+	0.849423i	$0.676950\pi$
$398$			4.74284i			0.237737i
$399$	−17.6250	+	7.84714i	−0.882352	+	0.392848i
$400$	−34.3158	+	38.1116i	−1.71579	+	1.90558i
$401$	4.09689	+	19.2744i	0.204589	+	0.962516i	0.953860	+	0.300252i	$0.0970708\pi$
$401$	4.09689	+	19.2744i	0.204589	+	0.962516i	−0.749271	+	0.662264i	$0.769596\pi$
$402$	−8.09913			−0.403948
$403$	18.7308	−	7.22208i	0.933046	−	0.359757i
$404$	23.4865			1.16850
$405$	−0.996505	−	4.68819i	−0.0495167	−	0.232958i
$406$	1.84612	−	2.05032i	0.0916212	−	0.101756i
$407$	1.44511	−	0.643403i	0.0716313	−	0.0318923i
$408$			8.76498i			0.433931i
$409$	9.55174	+	5.51470i	0.472303	+	0.272684i	0.717203	−	0.696864i	$-0.245422\pi$
$409$	9.55174	+	5.51470i	0.472303	+	0.272684i	−0.244900	+	0.969548i	$0.578755\pi$
$410$	−5.65305	−	12.6970i	−0.279184	−	0.627058i
$411$	−12.1454	−	16.7167i	−0.599087	−	0.824573i
$412$	2.15981	+	20.5492i	0.106406	+	1.01239i
$413$	5.93743	−	1.26204i	0.292162	−	0.0621009i
$414$	2.12189	+	0.223020i	0.104285	+	0.0109608i
$415$	−15.5510	+	47.8612i	−0.763370	+	2.34941i
$416$	0.226805	+	10.9232i	0.0111200	+	0.535553i
$417$	32.4733	−	23.5932i	1.59022	−	1.15537i
$418$	−0.782544	−	0.704606i	−0.0382755	−	0.0344634i
$419$	−17.2473	+	19.1550i	−0.842585	+	0.935785i	−0.998649	−	0.0519616i	$-0.983453\pi$
$419$	−17.2473	+	19.1550i	−0.842585	+	0.935785i	0.156064	+	0.987747i	$0.450119\pi$
$420$	−3.41622	−	32.5032i	−0.166695	−	1.58599i
$421$	10.7370	−	3.48868i	0.523292	−	0.170028i	−0.0354471	−	0.999372i	$-0.511286\pi$
$421$	10.7370	−	3.48868i	0.523292	−	0.170028i	0.558739	+	0.829344i	$0.311286\pi$
$422$	−1.54787	+	1.39370i	−0.0753489	+	0.0678445i
$423$	−3.51092	−	7.88567i	−0.170707	−	0.383414i
$424$	5.80010	+	1.88457i	0.281678	+	0.0915227i
$425$	4.45043	+	42.3430i	0.215878	+	2.05394i
$426$	1.23769	+	0.551056i	0.0599664	+	0.0266988i
$427$	−0.0629763	−	0.00661908i	−0.00304764	−	0.000320319i
$428$	3.30076			0.159548
$429$	7.76165	+	2.34493i	0.374736	+	0.113214i
$430$	−1.58863	−	1.15421i	−0.0766106	−	0.0556609i
$431$	−24.9892	−	22.5004i	−1.20369	−	1.08380i	−0.994371	−	0.105956i	$-0.966210\pi$
$431$	−24.9892	−	22.5004i	−1.20369	−	1.08380i	−0.209315	−	0.977848i	$-0.567124\pi$
$432$	19.9770	−	4.24624i	0.961143	−	0.204297i
$433$	−12.6990	+	21.9954i	−0.610277	+	1.05703i	0.380917	+	0.924609i	$0.375608\pi$
$433$	−12.6990	+	21.9954i	−0.610277	+	1.05703i	−0.991194	+	0.132421i	$0.957725\pi$
$434$	0.876605	+	1.80563i	0.0420784	+	0.0866732i
$435$	82.4406	+	47.5971i	3.95272	+	2.28211i
$436$	18.2457	−	16.4285i	0.873809	−	0.786781i
$437$	7.65279	−	2.48654i	0.366082	−	0.118947i
$438$	1.96200	−	0.873540i	0.0937481	−	0.0417394i
$439$	2.55810	+	4.43076i	0.122091	+	0.211469i	0.920592	−	0.390525i	$-0.127707\pi$
$439$	2.55810	+	4.43076i	0.122091	+	0.211469i	−0.798501	+	0.601994i	$0.794373\pi$
$440$	3.14577	−	1.81621i	0.149969	−	0.0865845i
$441$	−20.8714	−	15.1639i	−0.993874	−	0.722092i
$442$	2.15016	+	1.85665i	0.102273	+	0.0883121i
$443$	−11.8395	+	8.60194i	−0.562514	+	0.408690i	−0.832378	−	0.554208i	$-0.813021\pi$
$443$	−11.8395	+	8.60194i	−0.562514	+	0.408690i	0.269864	+	0.962898i	$0.413021\pi$
$444$	−2.26164	−	10.6402i	−0.107333	−	0.504961i
$445$	7.76935	−	73.9204i	0.368302	−	3.50416i
$446$	2.23528	+	2.48253i	0.105844	+	0.117551i
$447$	−9.71009	+	3.15500i	−0.459272	+	0.149226i
$448$	8.61993	−	0.905991i	0.407253	−	0.0428041i
$449$	6.13511	−	28.8634i	0.289534	−	1.36215i	−0.557308	−	0.830306i	$-0.688166\pi$
$449$	6.13511	−	28.8634i	0.289534	−	1.36215i	0.846842	−	0.531844i	$-0.178501\pi$
$450$	−18.0624	+	5.86884i	−0.851472	+	0.276660i
$451$	−0.991960	−	9.43787i	−0.0467096	−	0.444412i
$452$	−9.49198	+	10.5419i	−0.446465	+	0.495850i
$453$	−0.346182	−	1.62866i	−0.0162651	−	0.0765211i
$454$	1.76889	+	1.28517i	0.0830180	+	0.0603161i
$455$	−17.7101	−	12.3137i	−0.830264	−	0.577274i
$456$	−11.9293	+	8.66716i	−0.558642	+	0.405877i
$457$	10.0035	−	22.4682i	0.467944	−	1.05102i	−0.513293	−	0.858214i	$-0.671574\pi$
$457$	10.0035	−	22.4682i	0.467944	−	1.05102i	0.981237	−	0.192806i	$-0.0617589\pi$
$458$	−0.0239856	+	0.228208i	−0.00112077	+	0.0106634i
$459$	8.47773	−	14.6839i	0.395706	−	0.685384i
$460$			13.6310i			0.635547i
$461$	−2.21337	−	4.97131i	−0.103087	−	0.231537i	0.854637	−	0.519226i	$-0.173780\pi$
$461$	−2.21337	−	4.97131i	−0.103087	−	0.231537i	−0.957724	+	0.287689i	$0.907113\pi$
$462$	−0.168552	+	0.792973i	−0.00784173	+	0.0368924i
$463$	27.1397	+	8.81824i	1.26129	+	0.409818i	0.861954	−	0.506986i	$-0.169241\pi$
$463$	27.1397	+	8.81824i	1.26129	+	0.409818i	0.399337	+	0.916804i	$0.369241\pi$
$464$	−13.7155	+	23.7560i	−0.636727	+	1.10284i
$465$	−54.6507	+	42.5380i	−2.53437	+	1.97265i
$466$	2.04736	−	1.18204i	0.0948421	−	0.0547571i
$467$	0.821465	−	2.52821i	0.0380129	−	0.116992i	−0.930249	−	0.366928i	$-0.880410\pi$
$467$	0.821465	−	2.52821i	0.0380129	−	0.116992i	0.968262	+	0.249936i	$0.0804096\pi$
$468$	16.8100	−	30.5639i	0.777040	−	1.41282i
$469$	11.9020	+	8.64731i	0.549584	+	0.399296i
$470$	−1.73504	+	1.00173i	−0.0800314	+	0.0462061i
$471$	−23.6850	−	41.0236i	−1.09135	−	1.89027i
$472$	4.23823	−	1.88698i	0.195080	−	0.0868553i
$473$	−0.788088	−	1.08471i	−0.0362363	−	0.0498750i
$474$	1.19023	−	0.125099i	0.0546693	−	0.00574597i
$475$	−53.2290	+	47.9276i	−2.44231	+	2.19907i
$476$	4.59564	−	6.32535i	0.210641	−	0.289922i
$477$	−19.6590	−	21.8335i	−0.900122	−	0.999686i
$478$	3.94663	−	4.38318i	0.180515	−	0.200482i
$479$	12.0476	−	27.0592i	0.550467	−	1.23637i	−0.397384	−	0.917653i	$-0.630082\pi$
$479$	12.0476	−	27.0592i	0.550467	−	1.23637i	0.947850	−	0.318716i	$-0.103252\pi$
$480$	−11.6472	−	35.8463i	−0.531618	−	1.63615i
$481$	−6.29073	−	3.45986i	−0.286832	−	0.157756i
$482$	−0.792731	+	0.575953i	−0.0361079	+	0.0262339i
$483$	−4.60368	−	4.14517i	−0.209475	−	0.188612i
$484$	−19.5735	+	4.16048i	−0.889706	+	0.189113i
$485$	−23.4270	+	10.4304i	−1.06376	+	0.473618i
$486$	−3.52720	−	1.14606i	−0.159997	−	0.0519862i
$487$	15.8015	−	1.66081i	0.716035	−	0.0752583i	0.260497	−	0.965475i	$-0.416114\pi$
$487$	15.8015	−	1.66081i	0.716035	−	0.0752583i	0.455538	+	0.890216i	$0.349447\pi$
$488$	−0.0481324	+	0.00505892i	−0.00217885	+	0.000229006i
$489$	24.1698	−	33.2669i	1.09300	−	1.50438i
$490$	−2.99387	+	5.18554i	−0.135249	+	0.234259i
$491$	−11.5550	−	20.0139i	−0.521471	−	0.903214i	−0.999688	−	0.0249722i	$-0.992050\pi$
$491$	−11.5550	−	20.0139i	−0.521471	−	0.903214i	0.478218	−	0.878241i	$-0.341283\pi$
$492$	−64.9007	−	6.82133i	−2.92595	−	0.307529i
$493$	7.03733	+	21.6587i	0.316946	+	0.975458i
$494$	−0.400784	+	4.76235i	−0.0180321	+	0.214268i
$495$	−17.4991			−0.786528
$496$	−12.2577	−	15.7481i	−0.550386	−	0.707109i
$497$	−1.23049	−	2.13127i	−0.0551949	−	0.0956003i
$498$	−5.74388	−	6.37922i	−0.257389	−	0.285860i
$499$	17.9823	−	5.84279i	0.804996	−	0.261559i	0.122519	−	0.992466i	$-0.460903\pi$
$499$	17.9823	−	5.84279i	0.804996	−	0.261559i	0.682477	+	0.730907i	$0.260903\pi$
$500$	−32.1057	−	72.1107i	−1.43581	−	3.22489i
$501$	41.6649	+	24.0553i	1.86145	+	1.07471i
$502$		−	6.61322i		−	0.295162i
$503$	−12.4875	+	5.55979i	−0.556790	+	0.247899i	−0.665785	−	0.746143i	$-0.731903\pi$
$503$	−12.4875	+	5.55979i	−0.556790	+	0.247899i	0.108995	+	0.994042i	$0.465237\pi$
$504$	6.48795	+	2.88862i	0.288996	+	0.128669i
$505$	−21.7506	+	48.8526i	−0.967888	+	2.17391i
$506$	0.104484	−	0.321570i	0.00464490	−	0.0142955i
$507$	−12.8146	−	34.4960i	−0.569114	−	1.53202i
$508$	−1.99959	+	6.15412i	−0.0887176	+	0.273045i
$509$	−19.2100	−	17.2968i	−0.851468	−	0.766665i	0.122711	−	0.992442i	$-0.460841\pi$
$509$	−19.2100	−	17.2968i	−0.851468	−	0.766665i	−0.974179	+	0.225777i	$0.927508\pi$
$510$	−8.95306	−	3.98616i	−0.396448	−	0.176510i
$511$	−3.81591	−	0.811097i	−0.168806	−	0.0358808i
$512$	17.4237	−	5.66130i	0.770025	−	0.250196i
$513$	28.3682	−	2.98161i	1.25249	−	0.131642i
$514$	0.243700	−	1.14652i	0.0107491	−	0.0505707i
$515$	−44.7431	−	14.5379i	−1.97162	−	0.640617i
$516$	−8.42289	+	3.75011i	−0.370797	+	0.165089i
$517$	−1.33805	+	0.284412i	−0.0588475	+	0.0125084i
$518$	0.291967	−	0.655770i	0.0128283	−	0.0288129i
$519$	38.8921	−	28.2567i	1.70717	−	1.24033i
$520$	−15.1967	−	6.39136i	−0.666418	−	0.280280i
$521$	10.4918			0.459656			0.229828	−	0.973231i	$-0.426184\pi$
$521$	10.4918			0.459656			0.229828	+	0.973231i	$0.426184\pi$
$522$	−8.79749	+	5.07924i	−0.385056	+	0.222312i
$523$	−2.36146	+	22.4678i	−0.103260	+	0.982450i	0.813108	+	0.582113i	$0.197774\pi$
$523$	−2.36146	+	22.4678i	−0.103260	+	0.982450i	−0.916368	+	0.400337i	$0.868893\pi$
$524$	30.7895	+	6.54450i	1.34504	+	0.285898i
$525$	52.4445	+	17.0402i	2.28887	+	0.743697i
$526$	1.00385	+	0.579572i	0.0437699	+	0.0252706i
$527$	−16.5252	−	1.18577i	−0.719851	−	0.0516528i
$528$		−	8.06023i		−	0.350777i
$529$	−13.6612	−	15.1722i	−0.593963	−	0.659663i
$530$	−4.56279	+	5.06750i	−0.198195	+	0.220118i
$531$	−22.2274	−	2.33619i	−0.964587	−	0.101382i
$532$	13.1533			0.570268
$533$	−31.4023	+	29.4779i	−1.36018	+	1.27683i
$534$	10.2571	+	7.45222i	0.443868	+	0.322489i
$535$	−3.05679	+	6.86566i	−0.132156	+	0.296828i
$536$	10.2719	+	4.57337i	0.443681	+	0.197539i
$537$	11.8541	+	13.1653i	0.511542	+	0.568125i
$538$	−3.71428	+	5.11226i	−0.160134	+	0.220405i
$539$	−3.03828	+	2.73568i	−0.130868	+	0.117834i
$540$	−10.0464	+	47.2645i	−0.432327	+	2.03394i
$541$	−18.9650	−	26.1031i	−0.815371	−	1.12226i	−0.990472	−	0.137712i	$-0.956025\pi$
$541$	−18.9650	−	26.1031i	−0.815371	−	1.12226i	0.175101	−	0.984550i	$-0.443975\pi$
$542$	3.84716	+	0.817739i	0.165250	+	0.0351249i
$543$	−20.7554	+	23.0513i	−0.890701	+	0.989224i
$544$	3.66747	−	8.23727i	0.157242	−	0.353170i
$545$	17.2746	+	53.1657i	0.739961	+	2.27737i
$546$	3.32947	−	1.56598i	0.142488	−	0.0670180i
$547$	−36.9593	−	26.8525i	−1.58027	−	1.14813i	−0.916389	−	0.400290i	$-0.868909\pi$
$547$	−36.9593	−	26.8525i	−1.58027	−	1.14813i	−0.663878	−	0.747841i	$-0.731091\pi$
$548$	2.92892	+	13.7795i	0.125117	+	0.588631i
$549$	0.212997	+	0.0948323i	0.00909049	+	0.00404734i
$550$	0.314605	+	2.99326i	0.0134148	+	0.127633i
$551$	−22.5191	+	30.9949i	−0.959348	+	1.32043i
$552$	−4.10037	−	2.36735i	−0.174523	−	0.100761i
$553$	−1.88266	−	1.08696i	−0.0800591	−	0.0462221i
$554$	0.836412	−	1.15122i	0.0355358	−	0.0489108i
$555$	24.2264	+	5.14947i	1.02835	+	0.218583i
$556$	−26.7676	+	5.68963i	−1.13520	+	0.241294i
$557$	−10.3997	+	6.00427i	−0.440649	+	0.254409i	−0.703873	−	0.710326i	$-0.748548\pi$
$557$	−10.3997	+	6.00427i	−0.440649	+	0.254409i	0.263224	+	0.964735i	$0.415214\pi$
$558$	−1.01523	−	7.32030i	−0.0429780	−	0.309893i
$559$	−1.75988	+	5.82515i	−0.0744351	+	0.246378i
$560$	−6.62619	+	20.3933i	−0.280008	+	0.861775i
$561$	−4.97285	−	4.47757i	−0.209954	−	0.189043i
$562$	0.164736	−	1.56736i	0.00694897	−	0.0661151i
$563$	−14.1534	+	24.5144i	−0.596494	+	1.03316i	0.396840	+	0.917888i	$0.370107\pi$
$563$	−14.1534	+	24.5144i	−0.596494	+	1.03316i	−0.993334	+	0.115270i	$0.963227\pi$
$564$			9.40684i			0.396100i
$565$	−13.1371	−	29.5063i	−0.552680	−	1.24134i
$566$	4.25797	−	0.447530i	0.178976	−	0.0188111i
$567$	−0.872892	−	1.20143i	−0.0366580	−	0.0504554i
$568$	−1.25857	−	1.39779i	−0.0528085	−	0.0586498i
$569$	−0.176422	+	1.67854i	−0.00739598	+	0.0703681i	−0.997597	−	0.0692790i	$-0.977930\pi$
$569$	−0.176422	+	1.67854i	−0.00739598	+	0.0703681i	0.990201	+	0.139647i	$0.0445968\pi$
$570$	−3.42790	−	16.1270i	−0.143579	−	0.675485i
$571$	10.7760	+	33.1650i	0.450961	+	1.38791i	0.875813	+	0.482651i	$0.160326\pi$
$571$	10.7760	+	33.1650i	0.450961	+	1.38791i	−0.424852	+	0.905263i	$0.639674\pi$
$572$	−4.18390	−	3.61279i	−0.174938	−	0.151058i
$573$	13.7874	+	42.4331i	0.575975	+	1.77267i
$574$	−3.20025	−	2.88152i	−0.133576	−	0.120272i
$575$	−21.0106	−	9.35453i	−0.876204	−	0.390111i
$576$	−31.2158	−	6.63512i	−1.30066	−	0.276463i
$577$	35.2706	+	11.4601i	1.46834	+	0.477091i	0.930605	−	0.366026i	$-0.119282\pi$
$577$	35.2706	+	11.4601i	1.46834	+	0.477091i	0.537731	+	0.843117i	$0.319282\pi$
$578$	0.877249	+	1.97033i	0.0364887	+	0.0819550i
$579$	30.4259	−	27.3956i	1.26446	−	1.13852i
$580$	−38.1475	−	52.5055i	−1.58399	−	2.18017i
$581$	1.62987	+	15.5072i	0.0676184	+	0.643346i
$582$	0.457233	−	4.35028i	0.0189529	−	0.180325i
$583$	−4.03219	+	2.32798i	−0.166996	+	0.0964153i
$584$	−2.98163			−0.123381
$585$	48.0063	+	63.2700i	1.98481	+	2.61589i
$586$	1.56817	+	4.82633i	0.0647804	+	0.199374i
$587$	4.96882	+	23.3765i	0.205085	+	0.964850i	0.953447	+	0.301560i	$0.0975072\pi$
$587$	4.96882	+	23.3765i	0.205085	+	0.964850i	−0.748362	+	0.663290i	$0.769159\pi$
$588$	14.0572	+	24.3478i	0.579709	+	1.00409i
$589$	−14.7270	−	23.6638i	−0.606815	−	0.975048i
$590$			5.18734i			0.213559i
$591$	−27.4179	+	24.6872i	−1.12782	+	1.01550i
$592$	−1.48386	+	6.98103i	−0.0609864	+	0.286919i
$593$	−1.19069	+	1.63884i	−0.0488957	+	0.0672992i	−0.832765	−	0.553627i	$-0.813243\pi$
$593$	−1.19069	+	1.63884i	−0.0488957	+	0.0672992i	0.783869	+	0.620926i	$0.213243\pi$
$594$	0.599298	−	1.03801i	0.0245895	−	0.0425902i
$595$	8.90093	+	15.4169i	0.364903	+	0.632030i
$596$	6.92258	+	0.727592i	0.283560	+	0.0298033i
$597$	−41.0204	+	29.8031i	−1.67885	+	1.21976i
$598$	−1.44931	+	0.504404i	−0.0592665	+	0.0206266i
$599$	−2.85505	+	8.78693i	−0.116654	+	0.359024i	−0.992288	−	0.123950i	$-0.960444\pi$
$599$	−2.85505	+	8.78693i	−0.116654	+	0.359024i	0.875634	+	0.482975i	$0.160444\pi$
$600$	41.9149	+	4.40543i	1.71117	+	0.179851i
$601$	32.8585	−	6.98428i	1.34032	−	0.284895i	0.518716	−	0.854947i	$-0.326410\pi$
$601$	32.8585	−	6.98428i	1.34032	−	0.284895i	0.821609	+	0.570052i	$0.193077\pi$
$602$	−0.595129	−	0.126499i	−0.0242557	−	0.00515570i
$603$	−31.8392	−	43.8228i	−1.29659	−	1.78460i
$604$	−0.236016	+	1.11037i	−0.00960335	+	0.0451802i
$605$	9.47288	−	44.5664i	0.385127	−	1.81188i
$606$	−5.36159	−	7.37959i	−0.217800	−	0.299775i
$607$	−11.3763	−	2.41811i	−0.461750	−	0.0981480i	−0.0288379	−	0.999584i	$-0.509181\pi$
$607$	−11.3763	−	2.41811i	−0.461750	−	0.0981480i	−0.432912	+	0.901436i	$0.642514\pi$
$608$	14.8377	−	3.15384i	0.601746	−	0.127905i
$609$	29.3337	+	3.08309i	1.18866	+	0.124933i
$610$	0.0167223	−	0.0514659i	0.000677066	−	0.00208379i
$611$	4.69907	+	4.05763i	0.190104	+	0.164154i
$612$	−23.2898	+	16.9210i	−0.941433	+	0.683991i
$613$	−31.6925	−	3.33102i	−1.28005	−	0.134539i	−0.560018	−	0.828480i	$-0.689206\pi$
$613$	−31.6925	−	3.33102i	−1.28005	−	0.134539i	−0.720031	+	0.693942i	$0.755872\pi$
$614$	0.232168	+	0.402128i	0.00936956	+	0.0162285i
$615$	74.2922	−	128.678i	2.99575	−	5.18879i
$616$	0.661541	−	0.910533i	0.0266542	−	0.0366864i
$617$	3.36707	−	15.8408i	0.135553	−	0.637728i	−0.856939	−	0.515418i	$-0.827637\pi$
$617$	3.36707	−	15.8408i	0.135553	−	0.637728i	0.992492	−	0.122310i	$-0.0390301\pi$
$618$	5.96362	−	5.36967i	0.239892	−	0.216000i
$619$			38.4264i			1.54449i	0.635327	+	0.772243i	$0.280865\pi$
$619$			38.4264i			1.54449i	−0.635327	+	0.772243i	$0.719135\pi$
$620$	45.8337	−	11.3391i	1.84072	−	0.455390i
$621$	4.57953	+	7.93198i	0.183770	+	0.318299i
$622$	−0.662427	−	3.11647i	−0.0265609	−	0.124959i
$623$	−7.11662	−	21.9027i	−0.285121	−	0.877513i
$624$	−29.1426	+	22.1120i	−1.16664	+	0.885190i
$625$	108.184			4.32735
$626$	3.95297	−	2.28225i	0.157993	−	0.0912171i
$627$	1.17672	−	11.1958i	0.0469937	−	0.447115i
$628$	3.37578	+	32.1184i	0.134708	+	1.28167i
$629$	3.48271	+	4.79354i	0.138865	+	0.191131i
$630$	−5.90122	+	5.31348i	−0.235110	+	0.211694i
$631$	1.18531	+	2.66226i	0.0471866	+	0.105983i	0.935601	−	0.353060i	$-0.114859\pi$
$631$	1.18531	+	2.66226i	0.0471866	+	0.105983i	−0.888414	+	0.459043i	$0.848192\pi$
$632$	−1.58019	−	0.513434i	−0.0628565	−	0.0204233i
$633$	−21.7805	−	4.62959i	−0.865698	−	0.184010i
$634$	−4.77454	−	2.12576i	−0.189621	−	0.0844247i
$635$	−10.9489	−	9.85845i	−0.434495	−	0.391221i
$636$	9.89390	+	30.4503i	0.392319	+	1.20743i
$637$	18.2262	+	3.48029i	0.722147	+	0.137894i
$638$	0.497475	+	1.53107i	0.0196952	+	0.0606157i
$639$	1.88394	+	8.86322i	0.0745274	+	0.350624i
$640$	−3.55784	+	33.8506i	−0.140636	+	1.33806i
$641$	−14.3804	−	15.9711i	−0.567993	−	0.630820i	0.388894	−	0.921283i	$-0.372857\pi$
$641$	−14.3804	−	15.9711i	−0.567993	−	0.630820i	−0.956886	+	0.290463i	$0.906191\pi$
$642$	−0.753508	−	1.03711i	−0.0297386	−	0.0409317i
$643$	42.1666	−	4.43189i	1.66289	−	0.174777i	0.774090	−	0.633076i	$-0.218208\pi$
$643$	42.1666	−	4.43189i	1.66289	−	0.174777i	0.888798	+	0.458299i	$0.151541\pi$
$644$	1.71784	+	3.85832i	0.0676922	+	0.152039i
$645$		−	20.9928i		−	0.826589i
$646$	1.97212	−	3.41582i	0.0775922	−	0.134394i
$647$	2.85652	−	27.1779i	0.112301	−	1.06848i	−0.782696	−	0.622404i	$-0.786156\pi$
$647$	2.85652	−	27.1779i	0.112301	−	1.06848i	0.894997	−	0.446071i	$-0.147177\pi$
$648$	−0.843481	−	0.759474i	−0.0331351	−	0.0298349i
$649$	−1.09450	+	3.36853i	−0.0429630	+	0.132227i
$650$	9.95939	−	9.34905i	0.390639	−	0.366700i
$651$	−10.1084	+	18.9279i	−0.396178	+	0.741844i
$652$	−24.2785	+	14.0172i	−0.950818	+	0.548955i
$653$	−6.86909	+	1.46007i	−0.268808	+	0.0571369i	−0.340344	−	0.940301i	$-0.610543\pi$
$653$	−6.86909	+	1.46007i	−0.268808	+	0.0571369i	0.0715355	+	0.997438i	$0.477210\pi$
$654$	−9.32709	−	1.98254i	−0.364718	−	0.0775233i
$655$	−42.1265	+	57.9821i	−1.64602	+	2.26555i
$656$	37.0796	+	21.4079i	1.44772	+	0.835839i
$657$	12.4396	+	7.18198i	0.485313	+	0.280196i
$658$	−0.364870	+	0.502201i	−0.0142241	+	0.0195778i
$659$	−2.91437	−	27.7283i	−0.113528	−	1.08014i	−0.891867	−	0.452299i	$-0.850604\pi$
$659$	−2.91437	−	27.7283i	−0.113528	−	1.08014i	0.778339	−	0.627844i	$-0.216063\pi$
$660$	17.4214	+	7.75650i	0.678127	+	0.301921i
$661$	5.51131	+	25.9287i	0.214365	+	1.00851i	0.945336	+	0.326099i	$0.105734\pi$
$661$	5.51131	+	25.9287i	0.214365	+	1.00851i	−0.730971	+	0.682409i	$0.760932\pi$
$662$	−5.40530	−	3.92718i	−0.210083	−	0.152634i
$663$	−2.54687	+	30.2634i	−0.0989123	+	1.17533i
$664$	3.68265	+	11.3340i	0.142915	+	0.439846i
$665$	−12.1811	+	27.3592i	−0.472363	+	1.06094i
$666$	−1.76853	+	1.96415i	−0.0685291	+	0.0761093i
$667$	−12.0329	−	2.55768i	−0.465917	−	0.0990337i
$668$	−19.2795	−	26.5359i	−0.745945	−	1.02671i
$669$	−7.42512	+	34.9325i	−0.287072	+	1.35057i
$670$	−9.34301	+	8.41248i	−0.360952	+	0.325003i
$671$	0.0217181	−	0.0298924i	0.000838419	−	0.00115398i
$672$	−7.81431	−	8.67867i	−0.301443	−	0.334787i
$673$	−7.29127	−	3.24628i	−0.281058	−	0.125135i	0.261367	−	0.965240i	$-0.415827\pi$
$673$	−7.29127	−	3.24628i	−0.281058	−	0.125135i	−0.542424	+	0.840105i	$0.682493\pi$
$674$	−1.24499	+	2.79630i	−0.0479553	+	0.107709i
$675$	−65.9584	−	47.9216i	−2.53874	−	1.84450i
$676$	−1.58450	+	25.0385i	−0.0609424	+	0.963018i
$677$	−15.3933			−0.591613			−0.295806	−	0.955248i	$-0.595588\pi$
$677$	−15.3933			−0.591613			−0.295806	+	0.955248i	$0.595588\pi$
$678$	5.47919	+	0.575886i	0.210427	+	0.0221168i
$679$	−5.31665	+	5.90474i	−0.204034	+	0.226603i
$680$	9.10409	+	10.1111i	0.349126	+	0.387744i
$681$			23.3747i			0.895721i
$682$	−1.16818	−	0.0838228i	−0.0447321	−	0.00320974i
$683$	−17.5873	−	10.1540i	−0.672959	−	0.388533i	0.124238	−	0.992252i	$-0.460351\pi$
$683$	−17.5873	−	10.1540i	−0.672959	−	0.388533i	−0.797197	+	0.603720i	$0.793685\pi$
$684$	−46.0597	−	14.9657i	−1.76114	−	0.572228i
$685$	−31.3741	−	6.66878i	−1.19874	−	0.254801i
$686$	−0.457705	+	4.35477i	−0.0174752	+	0.166266i
$687$	−2.12447	+	1.22656i	−0.0810535	+	0.0467963i
$688$	6.04924			0.230625
$689$	19.4788	+	8.19232i	0.742082	+	0.312103i
$690$	4.28292	−	3.11173i	0.163048	−	0.118461i
$691$	−0.734793	+	1.65037i	−0.0279528	+	0.0627831i	−0.926982	−	0.375105i	$-0.877607\pi$
$691$	−0.734793	+	1.65037i	−0.0279528	+	0.0627831i	0.899030	+	0.437888i	$0.144273\pi$
$692$	−32.0586	+	6.81426i	−1.21868	+	0.259039i
$693$	−4.95323	+	2.20532i	−0.188158	+	0.0837732i
$694$	7.88886	+	2.56325i	0.299457	+	0.0972995i
$695$	12.9546	−	60.9464i	0.491394	−	2.31183i
$696$	22.4195	−	2.35639i	0.849810	−	0.0893186i
$697$	33.8061	−	10.9843i	1.28050	−	0.416059i
$698$	7.30766	+	1.55329i	0.276599	+	0.0587930i
$699$	23.0886	+	10.2797i	0.873291	+	0.388814i
$700$	−27.9385	−	25.1560i	−1.05598	−	0.950806i
$701$	10.4321	−	32.1067i	0.394016	−	1.21266i	−0.535710	−	0.844402i	$-0.679956\pi$
$701$	10.4321	−	32.1067i	0.394016	−	1.21266i	0.929726	−	0.368253i	$-0.120044\pi$
$702$	−5.39713	+	0.680811i	−0.203702	+	0.0256956i
$703$	−3.08027	+	9.48010i	−0.116175	+	0.357549i
$704$	−2.05704	+	4.62020i	−0.0775278	+	0.174130i
$705$	−19.5665	−	8.71156i	−0.736916	−	0.328096i
$706$	−1.77571	+	0.790599i	−0.0668299	+	0.0297546i
$707$			16.5691i			0.623145i
$708$	21.0931	+	12.1781i	0.792727	+	0.457681i
$709$	−2.62214	−	5.88942i	−0.0984764	−	0.221182i	0.857589	−	0.514336i	$-0.171962\pi$
$709$	−2.62214	−	5.88942i	−0.0984764	−	0.221182i	−0.956065	+	0.293154i	$0.905295\pi$
$710$	2.00016	−	0.649890i	0.0750646	−	0.0243900i
$711$	5.35591	+	5.94835i	0.200862	+	0.223080i
$712$	−8.80079	−	15.2434i	−0.329823	−	0.571271i
$713$	5.01805	−	7.41045i	0.187927	−	0.277524i
$714$	−3.03657			−0.113641
$715$	11.3893	−	5.35687i	0.425938	−	0.200336i
$716$	−3.73230	−	11.4868i	−0.139482	−	0.429283i
$717$	62.7096	+	6.59104i	2.34193	+	0.246147i
$718$	0.884955	+	1.53279i	0.0330262	+	0.0572031i
$719$	0.761852	−	1.31957i	0.0284123	−	0.0492115i	−0.851470	−	0.524404i	$-0.824288\pi$
$719$	0.761852	−	1.31957i	0.0284123	−	0.0492115i	0.879882	+	0.475192i	$0.157622\pi$
$720$	46.4067	−	63.8734i	1.72948	−	2.38042i
$721$	−14.4969	+	1.52369i	−0.539893	+	0.0567450i
$722$	1.59578	−	0.167723i	0.0593887	−	0.00624201i
$723$	−9.96273	−	3.23709i	−0.370518	−	0.120389i
$724$	19.3191	−	8.60143i	0.717990	−	0.319670i
$725$	107.111	−	22.7671i	3.97799	−	0.845549i
$726$	5.77556	+	5.20033i	0.214351	+	0.193002i
$727$	−12.2476	+	8.89844i	−0.454240	+	0.330025i	−0.791268	−	0.611470i	$-0.790578\pi$
$727$	−12.2476	+	8.89844i	−0.454240	+	0.330025i	0.337027	+	0.941495i	$0.390578\pi$
$728$	−5.10697	+	0.106039i	−0.189277	+	0.00393008i
$729$	−13.2633	−	40.8201i	−0.491232	−	1.51186i
$730$	1.35599	−	3.04561i	0.0501876	−	0.112723i
$731$	3.36044	−	3.73214i	0.124290	−	0.138038i
$732$	−0.170016	−	0.188822i	−0.00628397	−	0.00697906i
$733$	3.96407	−	5.45608i	0.146416	−	0.201525i	−0.729509	−	0.683971i	$-0.760252\pi$
$733$	3.96407	−	5.45608i	0.146416	−	0.201525i	0.875926	+	0.482446i	$0.160252\pi$
$734$	6.88426	−	6.19861i	0.254102	−	0.228795i
$735$	−63.6622	+	6.69117i	−2.34822	+	0.246807i
$736$	2.86295	+	3.94051i	0.105530	+	0.145249i
$737$	−7.84212	+	3.49154i	−0.288868	+	0.128612i
$738$	7.92795	+	13.7316i	0.291832	+	0.505468i
$739$	−14.0089	+	8.08807i	−0.515327	+	0.297524i	−0.735021	−	0.678045i	$-0.762828\pi$
$739$	−14.0089	+	8.08807i	−0.515327	+	0.297524i	0.219693	+	0.975569i	$0.429494\pi$
$740$	−13.6609	−	9.92519i	−0.502183	−	0.364857i
$741$	−43.7076	+	26.4593i	−1.60564	+	0.972007i
$742$	−0.652895	+	2.00941i	−0.0239685	+	0.0737676i
$743$	−22.6612	+	13.0835i	−0.831360	+	0.479986i	−0.854318	−	0.519751i	$-0.826025\pi$
$743$	−22.6612	+	13.0835i	−0.831360	+	0.479986i	0.0229581	+	0.999736i	$0.492692\pi$
$744$	−4.54918	+	15.7566i	−0.166781	+	0.577667i
$745$	−7.92432	+	13.7253i	−0.290325	+	0.502857i
$746$	2.46325	+	0.800357i	0.0901858	+	0.0293031i
$747$	11.9365	−	56.1569i	0.436734	−	2.05467i
$748$	1.85559	+	4.16772i	0.0678470	+	0.152387i
$749$			2.32859i			0.0850849i
$750$	−15.3283	+	26.5495i	−0.559712	+	0.969450i
$751$	2.29839	−	21.8677i	0.0838693	−	0.797963i	−0.869047	−	0.494729i	$-0.835267\pi$
$751$	2.29839	−	21.8677i	0.0838693	−	0.797963i	0.952916	−	0.303233i	$-0.0980662\pi$
$752$	2.51031	−	5.63825i	0.0915416	−	0.205606i
$753$	57.1972	−	41.5562i	2.08438	−	1.51439i
$754$	4.17100	−	5.99893i	0.151899	−	0.218468i
$755$	−2.09102	−	1.51922i	−0.0761001	−	0.0552899i
$756$	3.11280	+	14.6446i	0.113211	+	0.532618i
$757$	−30.0310	+	33.3528i	−1.09149	+	1.21223i	−0.115757	+	0.993278i	$0.536930\pi$
$757$	−30.0310	+	33.3528i	−1.09149	+	1.21223i	−0.975736	+	0.218949i	$0.929737\pi$
$758$	0.362680	+	3.45067i	0.0131731	+	0.125334i
$759$	3.43779	−	1.11701i	0.124784	−	0.0405447i
$760$	−4.75896	+	22.3891i	−0.172626	+	0.812140i
$761$	−9.08528	+	0.954901i	−0.329341	+	0.0346151i	−0.267756	−	0.963487i	$-0.586282\pi$
$761$	−9.08528	+	0.954901i	−0.329341	+	0.0346151i	−0.0615849	+	0.998102i	$0.519615\pi$
$762$	2.39013	−	0.776600i	0.0865853	−	0.0281333i
$763$	11.5898	+	12.8718i	0.419580	+	0.465991i
$764$	3.17958	−	30.2517i	0.115033	−	1.09447i
$765$	−13.6278	−	64.1136i	−0.492713	−	2.31803i
$766$	−1.42919	+	1.03837i	−0.0516387	+	0.0375177i
$767$	15.1819	−	5.28378i	0.548186	−	0.190786i
$768$	24.4611	+	17.7721i	0.882665	+	0.641294i
$769$	26.7419	−	15.4394i	0.964337	−	0.556760i	0.0668320	−	0.997764i	$-0.478711\pi$
$769$	26.7419	−	15.4394i	0.964337	−	0.556760i	0.897505	+	0.441004i	$0.145378\pi$
$770$	0.629215	+	1.08983i	0.0226753	+	0.0392748i
$771$	11.4475	−	5.09675i	0.412271	−	0.183555i
$772$	−26.5469	+	8.62560i	−0.955442	+	0.310442i
$773$	−3.20828	+	2.88875i	−0.115394	+	0.103901i	−0.724808	−	0.688951i	$-0.758071\pi$
$773$	−3.20828	+	2.88875i	−0.115394	+	0.103901i	0.609414	+	0.792852i	$0.291405\pi$
$774$	1.94007	+	1.12010i	0.0697345	+	0.0402612i
$775$	−13.9763	+	78.4292i	−0.502044	+	2.81726i
$776$	−3.03639	+	5.25918i	−0.109000	+	0.188794i
$777$	7.50636	−	1.59553i	0.269289	−	0.0572392i
$778$	4.56615	+	4.11138i	0.163705	+	0.147400i
$779$	48.3786	+	35.1491i	1.73334	+	1.25935i
$780$	−19.7485	−	84.2676i	−0.707110	−	3.01727i
$781$	1.43598			0.0513833
$782$	1.25954	+	0.132383i	0.0450411	+	0.00473401i
$783$	−39.8383	−	17.7372i	−1.42371	−	0.633874i
$784$	−1.92812	−	18.3448i	−0.0688613	−	0.655172i
$785$	−69.9335	−	22.7228i	−2.49603	−	0.811010i
$786$	−4.97241	−	11.1682i	−0.177360	−	0.398357i
$787$	−2.36090	+	2.12576i	−0.0841568	+	0.0757752i	−0.710136	−	0.704065i	$-0.751366\pi$
$787$	−2.36090	+	2.12576i	−0.0841568	+	0.0757752i	0.625979	+	0.779840i	$0.284700\pi$
$788$	23.9223	−	7.77284i	0.852198	−	0.276896i
$789$	1.29532	+	12.3241i	0.0461145	+	0.438750i
$790$	1.24309	−	1.38060i	0.0442273	−	0.0491194i
$791$	−7.43703	−	6.69633i	−0.264430	−	0.238094i
$792$	−3.35256	+	2.43577i	−0.119128	+	0.0865515i
$793$	−0.167660	+	0.00348123i	−0.00595377	+	0.000123622i
$794$	0.105322	−	0.324146i	0.00373772	−	0.0115035i
$795$	−72.5000	−	7.62006i	−2.57131	−	0.270256i
$796$	33.8130	−	7.18717i	1.19847	−	0.254742i
$797$	2.74747	+	26.1404i	0.0973203	+	0.925941i	0.928849	+	0.370459i	$0.120800\pi$
$797$	2.74747	+	26.1404i	0.0973203	+	0.925941i	−0.831529	+	0.555482i	$0.812534\pi$
$798$	−3.00268	−	4.13283i	−0.106294	−	0.146301i
$799$	−2.08406	−	4.68088i	−0.0737289	−	0.165598i
$800$	−37.5480	−	21.6784i	−1.32752	−	0.766446i
$801$			84.7953i			2.99609i
$802$	−4.76648	+	2.12217i	−0.168310	+	0.0749366i
$803$	1.52316	−	1.69164i	0.0537512	−	0.0596967i
$804$	12.2732	+	57.7408i	0.432842	+	2.03636i
$805$	−9.61627			−0.338929
$806$	2.90167	+	4.45364i	0.102207	+	0.156873i
$807$	−67.5553			−2.37806
$808$	2.63292	+	12.3869i	0.0926259	+	0.435770i
$809$	17.8474	−	19.8215i	0.627481	−	0.696888i	−0.342652	−	0.939462i	$-0.611325\pi$
$809$	17.8474	−	19.8215i	0.627481	−	0.696888i	0.970133	+	0.242574i	$0.0779919\pi$
$810$	1.15937	−	0.516186i	0.0407362	−	0.0181369i
$811$			10.1368i			0.355952i	0.984035	+	0.177976i	$0.0569550\pi$
$811$			10.1368i			0.355952i	−0.984035	+	0.177976i	$0.943045\pi$
$812$	−17.4148	−	10.0544i	−0.611140	−	0.352842i
$813$	17.1022	+	38.4122i	0.599802	+	1.34718i
$814$	0.246196	+	0.338860i	0.00862916	+	0.0118770i
$815$	−6.67212	−	63.4810i	−0.233714	−	2.22364i
$816$	29.5312	−	6.27705i	1.03380	−	0.219741i
$817$	8.40246	+	0.883135i	0.293965	+	0.0308970i
$818$	−0.902457	+	2.77748i	−0.0315537	+	0.0971122i
$819$	21.5620	+	11.8590i	0.753437	+	0.414385i
$820$	−81.9535	+	59.5427i	−2.86194	+	2.07932i
$821$	0.970783	+	0.874097i	0.0338806	+	0.0305062i	0.685897	−	0.727699i	$-0.259410\pi$
$821$	0.970783	+	0.874097i	0.0338806	+	0.0305062i	−0.652016	+	0.758205i	$0.726077\pi$
$822$	3.66096	−	4.06591i	0.127691	−	0.141815i
$823$	−4.80845	−	45.7493i	−0.167612	−	1.59472i	−0.678188	−	0.734889i	$-0.737234\pi$
$823$	−4.80845	−	45.7493i	−0.167612	−	1.59472i	0.510576	−	0.859833i	$-0.329432\pi$
$824$	−10.5956	+	3.44273i	−0.369117	+	0.119933i
$825$	−23.9116	+	21.5301i	−0.832494	+	0.749581i
$826$	0.653731	+	1.46830i	0.0227462	+	0.0510888i
$827$	16.5530	+	5.37841i	0.575606	+	0.187026i	0.582331	−	0.812952i	$-0.302141\pi$
$827$	16.5530	+	5.37841i	0.575606	+	0.187026i	−0.00672526	+	0.999977i	$0.502141\pi$
$828$	−1.62549	−	15.4655i	−0.0564895	−	0.537462i
$829$	12.2584	+	5.45780i	0.425752	+	0.189557i	0.608416	−	0.793618i	$-0.291805\pi$
$829$	12.2584	+	5.45780i	0.425752	+	0.189557i	−0.182664	+	0.983175i	$0.558472\pi$
$830$	−13.2521	−	1.39285i	−0.459986	−	0.0483465i
$831$	15.2127			0.527722
$832$	22.3480	−	5.23735i	0.774777	−	0.181573i
$833$	−12.3891	−	9.00122i	−0.429257	−	0.311874i
$834$	7.89831	+	7.11167i	0.273496	+	0.246257i
$835$	73.0499	−	15.5272i	2.52799	−	0.537342i
$836$	−3.83747	+	6.64670i	−0.132722	+	0.229881i
$837$	22.8614	−	21.9968i	0.790207	−	0.760321i
$838$	−5.91061	−	3.41249i	−0.204179	−	0.117883i
$839$	−25.0751	+	22.5777i	−0.865688	+	0.779469i	−0.976758	−	0.214344i	$-0.931239\pi$
$839$	−25.0751	+	22.5777i	−0.865688	+	0.779469i	0.111071	+	0.993813i	$0.464572\pi$
$840$	16.7594	−	5.44545i	0.578254	−	0.187886i
$841$	27.0150	−	12.0279i	0.931552	−	0.414753i
$842$	1.49465	+	2.58882i	0.0515092	+	0.0892165i
$843$	14.5911	−	8.42419i	0.502545	−	0.290145i
$844$	12.2817	+	8.92316i	0.422753	+	0.307148i
$845$	−50.6133	−	26.4836i	−1.74115	−	0.911064i
$846$	1.84909	−	1.34344i	0.0635730	−	0.0461885i
$847$	−2.93510	−	13.8086i	−0.100851	−	0.474468i
$848$	2.19578	−	20.8915i	0.0754036	−	0.717417i
$849$	30.6269	+	34.0146i	1.05111	+	1.16738i
$850$	−10.7218	+	3.48371i	−0.367753	+	0.119490i
$851$	−3.18313	+	0.334561i	−0.109116	+	0.0114686i
$852$	2.05306	−	9.65889i	0.0703367	−	0.330908i
$853$	−0.552469	+	0.179508i	−0.0189162	+	0.00614623i	−0.318460	−	0.947936i	$-0.603166\pi$
$853$	−0.552469	+	0.179508i	−0.0189162	+	0.00614623i	0.299544	+	0.954083i	$0.403166\pi$
$854$	−0.00175263	−	0.0166751i	−5.99737e−5	−	0.000570611i
$855$	73.7844	−	81.9458i	2.52337	−	2.80249i
$856$	0.370026	+	1.74084i	0.0126472	+	0.0595006i
$857$	9.79262	+	7.11475i	0.334509	+	0.243035i	0.742342	−	0.670022i	$-0.233715\pi$
$857$	9.79262	+	7.11475i	0.334509	+	0.243035i	−0.407832	+	0.913057i	$0.633715\pi$
$858$	−0.180041	+	2.13934i	−0.00614648	+	0.0730360i
$859$	−12.7869	+	9.29021i	−0.436283	+	0.316978i	−0.784156	−	0.620564i	$-0.786904\pi$
$859$	−12.7869	+	9.29021i	−0.436283	+	0.316978i	0.347874	+	0.937541i	$0.386904\pi$
$860$	−5.82129	+	13.0748i	−0.198504	+	0.445848i
$861$	4.81226	−	45.7856i	0.164001	−	1.56037i
$862$	4.45185	−	7.71083i	0.151631	−	0.262632i
$863$			26.7745i			0.911416i	0.890129	+	0.455708i	$0.150614\pi$
$863$			26.7745i			0.911416i	−0.890129	+	0.455708i	$0.849386\pi$
$864$	7.02282	+	15.7735i	0.238921	+	0.536626i
$865$	15.5152	−	72.9932i	0.527532	−	2.48184i
$866$	−6.39587	−	2.07814i	−0.217340	−	0.0706182i
$867$	−11.5288	+	19.9684i	−0.391538	+	0.678163i
$868$	11.5445	−	8.98576i	0.391845	−	0.304996i
$869$	1.09854	−	0.634240i	0.0372652	−	0.0215151i
$870$	−7.78906	+	23.9723i	−0.264074	+	0.812736i
$871$	34.1377	+	18.7755i	1.15671	+	0.636184i
$872$	10.7099	+	7.78117i	0.362682	+	0.263504i
$873$	25.3360	−	14.6278i	0.857494	−	0.495075i
$874$	1.06531	+	1.84517i	0.0360346	+	0.0624138i
$875$	50.8721	−	22.6497i	1.71979	−	0.765700i
$876$	−9.20086	−	12.6639i	−0.310868	−	0.427874i
$877$	−12.4622	+	1.30983i	−0.420818	+	0.0442298i	−0.312571	−	0.949894i	$-0.601190\pi$
$877$	−12.4622	+	1.30983i	−0.420818	+	0.0442298i	−0.108247	+	0.994124i	$0.534524\pi$
$878$	−1.00673	+	0.906464i	−0.0339755	+	0.0305917i
$879$	−31.8884	+	43.8906i	−1.07557	+	1.48039i
$880$	−8.37208	−	9.29814i	−0.282223	−	0.313440i
$881$	3.51512	−	3.90393i	0.118427	−	0.131527i	−0.681016	−	0.732269i	$-0.738461\pi$
$881$	3.51512	−	3.90393i	0.118427	−	0.131527i	0.799443	+	0.600742i	$0.205128\pi$
$882$	2.77842	−	6.24044i	0.0935544	−	0.210127i
$883$	14.3490	+	44.1618i	0.482884	+	1.48616i	0.835023	+	0.550215i	$0.185454\pi$
$883$	14.3490	+	44.1618i	0.482884	+	1.48616i	−0.352139	+	0.935948i	$0.614546\pi$
$884$	9.97829	−	18.1426i	0.335606	−	0.610201i
$885$	−44.8648	+	32.5962i	−1.50812	+	1.09571i
$886$	−2.87967	−	2.59287i	−0.0967445	−	0.0871091i
$887$	−2.41254	+	0.512802i	−0.0810053	+	0.0172182i	−0.248236	−	0.968700i	$-0.579851\pi$
$887$	−2.41254	+	0.512802i	−0.0810053	+	0.0172182i	0.167231	+	0.985918i	$0.446518\pi$
$888$	5.35816	−	2.38560i	0.179808	−	0.0800556i
$889$	−4.34156	−	1.41066i	−0.145611	−	0.0473119i
$890$	19.5730	−	2.05720i	0.656087	−	0.0689575i
$891$	0.861781	−	0.0905769i	0.0288708	−	0.00303444i
$892$	14.3113	−	19.6978i	0.479179	−	0.659533i
$893$	4.30998	−	7.46510i	0.144228	−	0.249810i
$894$	−1.35170	−	2.34121i	−0.0452075	−	0.0783017i
$895$	27.3493	+	2.87453i	0.914187	+	0.0960849i
$896$	3.25893	+	10.0300i	0.108873	+	0.335077i
$897$	−13.4697	−	9.36535i	−0.449740	−	0.312700i
$898$	7.81333			0.260734
$899$	1.40965	+	42.5879i	0.0470145	+	1.42039i
$900$	69.2118	+	119.878i	2.30706	+	3.99595i
$901$	−11.6694	−	12.9602i	−0.388765	−	0.431768i
$902$	2.38978	−	0.776487i	0.0795710	−	0.0258542i
$903$	−2.64560	−	5.94211i	−0.0880401	−	0.197741i
$904$	−6.62395	−	3.82434i	−0.220309	−	0.127196i
$905$			48.1500i			1.60056i
$906$	0.402762	−	0.179321i	0.0133809	−	0.00595754i
$907$	−6.80340	−	3.02907i	−0.225903	−	0.100579i	0.290664	−	0.956825i	$-0.406124\pi$
$907$	−6.80340	−	3.02907i	−0.225903	−	0.100579i	−0.516567	+	0.856247i	$0.672790\pi$
$908$	6.48181	−	14.5584i	0.215106	−	0.483137i
$909$	18.8522	−	58.0211i	0.625287	−	1.92444i
$910$	2.21424	−	5.26478i	0.0734015	−	0.174526i
$911$	11.3978	−	35.0787i	0.377625	−	1.16221i	−0.564065	−	0.825730i	$-0.690763\pi$
$911$	11.3978	−	35.0787i	0.377625	−	1.16221i	0.941690	−	0.336480i	$-0.109237\pi$
$912$	37.7448	+	33.9856i	1.24986	+	1.12538i
$913$	−8.31169	−	3.70060i	−0.275077	−	0.122472i
$914$	6.36994	+	1.35397i	0.210699	+	0.0447854i
$915$	0.550204	−	0.178772i	0.0181892	−	0.00591002i
$916$	1.66330	−	0.174820i	0.0549569	−	0.00577621i
$917$	−4.61697	+	21.7211i	−0.152466	+	0.717294i
$918$	4.26980	+	1.38734i	0.140925	+	0.0457892i
$919$	−23.4931	+	10.4598i	−0.774964	+	0.345036i	−0.755819	−	0.654780i	$-0.772761\pi$
$919$	−23.4931	+	10.4598i	−0.774964	+	0.345036i	−0.0191451	+	0.999817i	$0.506094\pi$
$920$	−7.18905	+	1.52808i	−0.237016	+	0.0503793i
$921$	−2.01906	+	4.53489i	−0.0665305	+	0.149430i
$922$	1.16571	−	0.846937i	0.0383906	−	0.0278924i
$923$	−3.93939	−	5.19193i	−0.129667	−	0.170894i
$924$	5.90873			0.194383
$925$	24.6736	−	14.2453i	0.811263	−	0.468383i
$926$	−0.789816	+	7.51460i	−0.0259550	+	0.246945i
$927$	52.4983	+	11.1589i	1.72427	+	0.366505i
$928$	−22.0557	−	7.16633i	−0.724014	−	0.235246i
$929$	1.44063	+	0.831749i	0.0472656	+	0.0272888i	0.523447	−	0.852058i	$-0.324646\pi$
$929$	1.44063	+	0.831749i	0.0472656	+	0.0272888i	−0.476181	+	0.879347i	$0.657979\pi$
$930$	−14.0259	−	11.8126i	−0.459927	−	0.387352i
$931$		−	25.7626i		−	0.844336i
$932$	−11.5296	−	12.8049i	−0.377665	−	0.419439i
$933$	22.7916	−	25.3126i	0.746162	−	0.828697i
$934$	0.700024	+	0.0735755i	0.0229055	+	0.00240746i
$935$	−10.3874			−0.339704
$936$	18.0040	+	5.43934i	0.588480	+	0.177790i
$937$	−43.0323	−	31.2648i	−1.40580	−	1.02138i	−0.993916	−	0.110142i	$-0.964869\pi$
$937$	−43.0323	−	31.2648i	−1.40580	−	1.02138i	−0.411888	−	0.911234i	$-0.635131\pi$
$938$	−1.58441	+	3.55865i	−0.0517329	+	0.116194i
$939$	44.5787	+	19.8477i	1.45477	+	0.647706i
$940$	9.77079	+	10.8516i	0.318688	+	0.353939i
$941$	5.25763	−	7.23651i	0.171394	−	0.235904i	−0.714675	−	0.699456i	$-0.753426\pi$
$941$	5.25763	−	7.23651i	0.171394	−	0.235904i	0.886069	+	0.463553i	$0.153426\pi$
$942$	9.32115	−	8.39280i	0.303699	−	0.273452i
$943$	−3.99217	+	18.7817i	−0.130003	+	0.611615i
$944$	−9.39288	−	12.9282i	−0.305712	−	0.420777i
$945$	−33.3438	−	7.08744i	−1.08467	−	0.230554i
$946$	0.237552	−	0.263828i	0.00772348	−	0.00857780i
$947$	−3.18812	+	7.16064i	−0.103600	+	0.232690i	−0.957907	−	0.287080i	$-0.907315\pi$
$947$	−3.18812	+	7.16064i	−0.103600	+	0.232690i	0.854307	+	0.519769i	$0.173982\pi$
$948$	−2.69551	−	8.29592i	−0.0875461	−	0.269439i
$949$	−10.2949	−	0.866384i	−0.334185	−	0.0281240i
$950$	−15.3435	−	11.1477i	−0.497809	−	0.361680i
$951$	−11.6167	−	54.6524i	−0.376698	−	1.77223i
$952$	3.85121	+	1.71467i	0.124818	+	0.0555728i
$953$	4.88749	+	46.5014i	0.158321	+	1.50633i	0.728636	+	0.684901i	$0.240155\pi$
$953$	4.88749	+	46.5014i	0.158321	+	1.50633i	−0.570314	+	0.821426i	$0.693179\pi$
$954$	4.57257	−	6.29360i	0.148042	−	0.203763i
$955$	59.9797	+	34.6293i	1.94090	+	1.12058i
$956$	−37.2294	−	21.4944i	−1.20409	−	0.695179i
$957$	−10.1161	+	13.9236i	−0.327006	+	0.450085i
$958$	7.67153	+	1.63063i	0.247856	+	0.0526834i
$959$	−9.72105	+	2.06627i	−0.313909	+	0.0667234i
$960$	−68.5764	+	39.5926i	−2.21329	+	1.27785i
$961$	−29.0917	−	10.7085i	−0.938442	−	0.345436i
$962$	0.549781	−	1.81976i	0.0177256	−	0.0586713i
$963$	2.64945	−	8.15418i	0.0853774	−	0.262765i
$964$	5.30740	+	4.77880i	0.170940	+	0.153915i
$965$	6.64324	−	63.2062i	0.213854	−	2.03468i
$966$	0.820151	−	1.42054i	0.0263879	−	0.0457052i
$967$		−	19.7337i		−	0.634593i	−0.948326	−	0.317296i	$-0.897225\pi$
$967$		−	19.7337i		−	0.634593i	0.948326	−	0.317296i	$-0.102775\pi$
$968$	−4.38852	−	9.85677i	−0.141052	−	0.316809i
$969$	41.9356	−	4.40760i	1.34716	−	0.141593i
$970$	−3.99114	−	5.49333i	−0.128148	−	0.176380i
$971$	−10.3326	−	11.4756i	−0.331590	−	0.368269i	0.554176	−	0.832399i	$-0.313033\pi$
$971$	−10.3326	−	11.4756i	−0.331590	−	0.368269i	−0.885767	+	0.464131i	$0.846367\pi$
$972$	−2.82552	+	26.8830i	−0.0906286	+	0.862273i
$973$	−4.01387	−	18.8838i	−0.128679	−	0.605387i
$974$	1.30005	+	4.00113i	0.0416562	+	0.128204i
$975$	143.442	+	27.3903i	4.59382	+	0.877191i
$976$	0.0515147	+	0.158546i	0.00164895	+	0.00507493i
$977$	1.00680	+	0.906528i	0.0322104	+	0.0290024i	0.685079	−	0.728469i	$-0.259768\pi$
$977$	1.00680	+	0.906528i	0.0322104	+	0.0290024i	−0.652868	+	0.757471i	$0.726434\pi$
$978$	9.94664	+	4.42853i	0.318058	+	0.141609i
$979$	13.1443	+	2.79390i	0.420093	+	0.0892935i
$980$	41.5059	+	13.4861i	1.32586	+	0.430797i
$981$	−25.9394	−	58.2608i	−0.828181	−	1.86013i
$982$	4.54743	−	4.09453i	0.145114	−	0.130662i
$983$	−8.66321	−	11.9239i	−0.276313	−	0.380313i	0.648195	−	0.761474i	$-0.275524\pi$
$983$	−8.66321	−	11.9239i	−0.276313	−	0.380313i	−0.924508	+	0.381162i	$0.875524\pi$
$984$	−3.67798	−	34.9936i	−0.117250	−	1.11556i
$985$	−5.98647	+	56.9574i	−0.190745	+	1.81481i
$986$	−5.22214	+	3.01500i	−0.166307	+	0.0960173i
$987$	−6.63627			−0.211235
$988$	34.5594	−	4.35943i	1.09948	−	0.138692i
$989$	0.838317	+	2.58008i	0.0266569	+	0.0820416i
$990$	−0.963359	−	4.53225i	−0.0306175	−	0.144044i
$991$	−14.1212	−	24.4586i	−0.448575	−	0.776954i	0.549719	−	0.835350i	$-0.314735\pi$
$991$	−14.1212	−	24.4586i	−0.448575	−	0.776954i	−0.998294	+	0.0583957i	$0.981401\pi$
$992$	10.8682	−	12.9045i	0.345067	−	0.409719i
$993$		−	71.4275i		−	2.26668i
$994$	0.484253	−	0.436024i	0.0153596	−	0.0138298i
$995$	−16.3643	+	76.9878i	−0.518782	+	2.44068i
$996$	−36.7750	+	50.6165i	−1.16526	+	1.60384i
$997$	14.2602	−	24.6994i	0.451626	−	0.782239i	−0.546861	−	0.837223i	$-0.684178\pi$
$997$	14.2602	−	24.6994i	0.451626	−	0.782239i	0.998487	+	0.0549842i	$0.0175108\pi$
$998$	2.50323	+	4.33571i	0.0792382	+	0.137245i
$999$	−11.2839	−	1.18598i	−0.357006	−	0.0375228i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.bs.a.101.20	yes	288
13.4	even	6	inner	403.2.bs.a.225.17	yes	288
31.4	even	5	inner	403.2.bs.a.283.17	yes	288
403.4	even	30	inner	403.2.bs.a.4.20	✓	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.bs.a.4.20	✓	288	403.4	even	30	inner
403.2.bs.a.101.20	yes	288	1.1	even	1	trivial
403.2.bs.a.225.17	yes	288	13.4	even	6	inner
403.2.bs.a.283.17	yes	288	31.4	even	5	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:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.bs (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0550517 + 0.258998i) q^{2} +(-1.89412 + 2.10363i) q^{3} +(1.76304 - 0.784957i) q^{4} +4.39411i q^{5} +(-0.649111 - 0.374764i) q^{6} +(0.553765 + 1.24378i) q^{7} +(0.611633 + 0.841841i) q^{8} +(-0.523995 - 4.98548i) q^{9} +O(q^{10})\)	\(q+(0.0550517 + 0.258998i) q^{2} +(-1.89412 + 2.10363i) q^{3} +(1.76304 - 0.784957i) q^{4} +4.39411i q^{5} +(-0.649111 - 0.374764i) q^{6} +(0.553765 + 1.24378i) q^{7} +(0.611633 + 0.841841i) q^{8} +(-0.523995 - 4.98548i) q^{9} +(-1.13807 + 0.241903i) q^{10} +(-0.790074 - 0.0830401i) q^{11} +(-1.68815 + 5.19559i) q^{12} +(1.86721 + 3.08440i) q^{13} +(-0.291650 + 0.211896i) q^{14} +(-9.24359 - 8.32296i) q^{15} +(2.39833 - 2.66362i) q^{16} +(-0.311040 - 2.95935i) q^{17} +(1.26238 - 0.410173i) q^{18} +(3.72017 - 3.34966i) q^{19} +(3.44919 + 7.74700i) q^{20} +(-3.66534 - 1.19094i) q^{21} +(-0.0219877 - 0.209199i) q^{22} +(1.46843 + 0.653788i) q^{23} +(-2.92943 - 0.307895i) q^{24} -14.3082 q^{25} +(-0.696061 + 0.653405i) q^{26} +(4.60983 + 3.34924i) q^{27} +(1.95262 + 1.75815i) q^{28} +(-7.48597 + 1.59119i) q^{29} +(1.64676 - 2.85226i) q^{30} +(0.976804 - 5.48141i) q^{31} +(2.62423 + 1.51510i) q^{32} +(1.67118 - 1.50474i) q^{33} +(0.749343 - 0.243476i) q^{34} +(-5.46529 + 2.43331i) q^{35} +(-4.83721 - 8.37830i) q^{36} +(-1.72444 + 0.995604i) q^{37} +(1.07236 + 0.779113i) q^{38} +(-10.0252 - 1.91430i) q^{39} +(-3.69914 + 2.68758i) q^{40} +(2.48362 + 11.6845i) q^{41} +(0.106668 - 1.01488i) q^{42} +(1.12931 + 1.25423i) q^{43} +(-1.45812 + 0.473770i) q^{44} +(21.9068 - 2.30249i) q^{45} +(-0.0884901 + 0.416313i) q^{46} +(1.63765 - 0.532106i) q^{47} +(1.06054 + 10.0904i) q^{48} +(3.44359 - 3.82449i) q^{49} +(-0.787692 - 3.70580i) q^{50} +(6.81453 + 4.95105i) q^{51} +(5.71309 + 3.97225i) q^{52} +(4.74149 - 3.44489i) q^{53} +(-0.613667 + 1.37832i) q^{54} +(0.364887 - 3.47167i) q^{55} +(-0.708361 + 1.22692i) q^{56} +14.1705i q^{57} +(-0.824231 - 1.85125i) q^{58} +(0.926959 - 4.36100i) q^{59} +(-22.8300 - 7.41791i) q^{60} +(-0.0232552 + 0.0402792i) q^{61} +(1.47345 - 0.0487709i) q^{62} +(5.91066 - 3.41252i) q^{63} +(1.96725 - 6.05457i) q^{64} +(-13.5532 + 8.20472i) q^{65} +(0.481725 + 0.349994i) q^{66} +(9.35795 - 5.40282i) q^{67} +(-2.87134 - 4.97331i) q^{68} +(-4.15671 + 1.85069i) q^{69} +(-0.931095 - 1.28154i) q^{70} +(-1.79767 + 0.188942i) q^{71} +(3.87649 - 3.49041i) q^{72} +(-1.68423 + 2.31814i) q^{73} +(-0.352793 - 0.391816i) q^{74} +(27.1014 - 30.0992i) q^{75} +(3.92948 - 8.82576i) q^{76} +(-0.334232 - 1.02866i) q^{77} +(-0.0561009 - 2.70188i) q^{78} +(-1.29178 + 0.938531i) q^{79} +(11.7042 + 10.5385i) q^{80} +(-1.06692 + 0.226782i) q^{81} +(-2.88954 + 1.28651i) q^{82} +(10.8921 + 3.53906i) q^{83} +(-7.39699 + 0.777455i) q^{84} +(13.0037 - 1.36675i) q^{85} +(-0.262672 + 0.361537i) q^{86} +(10.8320 - 18.7616i) q^{87} +(-0.413329 - 0.715907i) q^{88} +(-16.8226 - 1.76813i) q^{89} +(1.80235 + 5.54705i) q^{90} +(-2.80231 + 4.03042i) q^{91} +3.10210 q^{92} +(9.68068 + 12.4373i) q^{93} +(0.227970 + 0.394856i) q^{94} +(14.7188 + 16.3469i) q^{95} +(-8.15781 + 2.65063i) q^{96} +(2.37371 + 5.33145i) q^{97} +(1.18011 + 0.681338i) q^{98} +3.98241i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9}+O(q^{10}) \) 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9	\( 288 q - 9 q^{2} - q^{3} - 39 q^{4} - 42 q^{6} - 15 q^{7} + 31 q^{9} + 3 q^{10} - 18 q^{11} - 46 q^{12} - q^{13} - 32 q^{14} + 18 q^{15} + 21 q^{16} - 15 q^{17} - 15 q^{19} + 51 q^{20} - 10 q^{22} - 4 q^{23} - 51 q^{24} - 296 q^{25} - 6 q^{26} - 52 q^{27} + 21 q^{28} + q^{29} + 60 q^{30} + 138 q^{32} + 69 q^{33} - 10 q^{35} + 128 q^{36} - 18 q^{37} + 32 q^{38} - 14 q^{39} + 60 q^{40} - 15 q^{41} - 49 q^{42} - 36 q^{43} + 6 q^{45} - 69 q^{46} + 21 q^{48} - 23 q^{49} + 117 q^{50} + 8 q^{51} + 26 q^{52} - 48 q^{53} + 75 q^{54} + 46 q^{55} - 98 q^{56} - 21 q^{58} - 105 q^{59} - 74 q^{61} - 3 q^{62} - 90 q^{63} + 90 q^{64} + 89 q^{65} - 8 q^{66} + 6 q^{67} - 182 q^{68} + 29 q^{69} + 3 q^{71} - 183 q^{72} - 53 q^{74} - 38 q^{75} + 144 q^{76} - 128 q^{78} - 72 q^{79} - 72 q^{80} + 11 q^{81} - 11 q^{82} - 33 q^{84} + 72 q^{85} - 18 q^{87} - 14 q^{88} + 81 q^{89} - 34 q^{90} - 48 q^{91} + 8 q^{92} + 72 q^{93} - 6 q^{94} + 141 q^{97} + 96 q^{98}+O(q^{100}) \) 288 * q - 9 * q^2 - q^3 - 39 * q^4 - 42 * q^6 - 15 * q^7 + 31 * q^9 + 3 * q^10 - 18 * q^11 - 46 * q^12 - q^13 - 32 * q^14 + 18 * q^15 + 21 * q^16 - 15 * q^17 - 15 * q^19 + 51 * q^20 - 10 * q^22 - 4 * q^23 - 51 * q^24 - 296 * q^25 - 6 * q^26 - 52 * q^27 + 21 * q^28 + q^29 + 60 * q^30 + 138 * q^32 + 69 * q^33 - 10 * q^35 + 128 * q^36 - 18 * q^37 + 32 * q^38 - 14 * q^39 + 60 * q^40 - 15 * q^41 - 49 * q^42 - 36 * q^43 + 6 * q^45 - 69 * q^46 + 21 * q^48 - 23 * q^49 + 117 * q^50 + 8 * q^51 + 26 * q^52 - 48 * q^53 + 75 * q^54 + 46 * q^55 - 98 * q^56 - 21 * q^58 - 105 * q^59 - 74 * q^61 - 3 * q^62 - 90 * q^63 + 90 * q^64 + 89 * q^65 - 8 * q^66 + 6 * q^67 - 182 * q^68 + 29 * q^69 + 3 * q^71 - 183 * q^72 - 53 * q^74 - 38 * q^75 + 144 * q^76 - 128 * q^78 - 72 * q^79 - 72 * q^80 + 11 * q^81 - 11 * q^82 - 33 * q^84 + 72 * q^85 - 18 * q^87 - 14 * q^88 + 81 * q^89 - 34 * q^90 - 48 * q^91 + 8 * q^92 + 72 * q^93 - 6 * q^94 + 141 * q^97 + 96 * q^98

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