LMFDB - Embedded newform 95.2.k.a.16.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (of order $9$, degree $6$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 $ x^18 - 3x^17 + 15x^16 - 14x^15 + 72x^14 - 51x^13 + 231x^12 - 93x^11 + 438x^10 - 156x^9 + 582x^8 - 138x^7 + 437x^6 - 132x^5 + 198x^4 - 16x^3 + 15x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			16.1
Root			$0.816390 + 1.41403i$ of defining polynomial
Character	$\chi$	$=$	95.16
Dual form			95.2.k.a.6.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.484738 - 0.406743i) q^{2} +(-1.80387 + 0.656554i) q^{3} +(-0.277766 - 1.57529i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.14145 + 0.415455i) q^{6} +(-2.04448 - 3.54114i) q^{7} +(-1.13887 + 1.97259i) q^{8} +(0.524744 - 0.440313i) q^{9} +O(q^{10})$	\(q+(-0.484738 - 0.406743i) q^{2} +(-1.80387 + 0.656554i) q^{3} +(-0.277766 - 1.57529i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.14145 + 0.415455i) q^{6} +(-2.04448 - 3.54114i) q^{7} +(-1.13887 + 1.97259i) q^{8} +(0.524744 - 0.440313i) q^{9} +(-0.484738 + 0.406743i) q^{10} +(2.17413 - 3.76571i) q^{11} +(1.53531 + 2.65924i) q^{12} +(-1.45826 - 0.530764i) q^{13} +(-0.449299 + 2.54810i) q^{14} +(0.333341 + 1.89047i) q^{15} +(-1.65185 + 0.601224i) q^{16} +(4.87326 + 4.08915i) q^{17} -0.433458 q^{18} +(0.708014 + 4.30101i) q^{19} -1.59959 q^{20} +(6.01291 + 5.04543i) q^{21} +(-2.58556 + 0.941068i) q^{22} +(-0.583829 - 3.31106i) q^{23} +(0.759268 - 4.30602i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(0.490990 + 0.850420i) q^{26} +(2.22197 - 3.84857i) q^{27} +(-5.01042 + 4.20424i) q^{28} +(3.99325 - 3.35074i) q^{29} +(0.607354 - 1.05197i) q^{30} +(-3.28366 - 5.68747i) q^{31} +(5.32603 + 1.93852i) q^{32} +(-1.44946 + 8.22028i) q^{33} +(-0.699019 - 3.96434i) q^{34} +(-3.84236 + 1.39850i) q^{35} +(-0.839375 - 0.704319i) q^{36} +0.180685 q^{37} +(1.40621 - 2.37284i) q^{38} +2.97899 q^{39} +(1.74486 + 1.46411i) q^{40} +(-0.0242217 + 0.00881597i) q^{41} +(-0.862490 - 4.89143i) q^{42} +(0.793995 - 4.50297i) q^{43} +(-6.53598 - 2.37890i) q^{44} +(-0.342502 - 0.593232i) q^{45} +(-1.06375 + 1.84246i) q^{46} +(-1.09575 + 0.919441i) q^{47} +(2.58498 - 2.16906i) q^{48} +(-4.85976 + 8.41736i) q^{49} +(0.316390 + 0.548004i) q^{50} +(-11.4755 - 4.17673i) q^{51} +(-0.431051 + 2.44461i) q^{52} +(-0.278010 - 1.57667i) q^{53} +(-2.64246 + 0.961776i) q^{54} +(-3.33097 - 2.79501i) q^{55} +9.31361 q^{56} +(-4.10101 - 7.29361i) q^{57} -3.29857 q^{58} +(7.31281 + 6.13617i) q^{59} +(2.88545 - 1.05022i) q^{60} +(-1.05793 - 5.99980i) q^{61} +(-0.721625 + 4.09254i) q^{62} +(-2.63203 - 0.957982i) q^{63} +(-0.0353865 - 0.0612913i) q^{64} +(-0.775925 + 1.34394i) q^{65} +(4.04615 - 3.39513i) q^{66} +(7.87159 - 6.60505i) q^{67} +(5.08797 - 8.81262i) q^{68} +(3.22704 + 5.58940i) q^{69} +(2.43137 + 0.884946i) q^{70} +(-1.88710 + 10.7023i) q^{71} +(0.270938 + 1.53657i) q^{72} +(12.7987 - 4.65836i) q^{73} +(-0.0875850 - 0.0734926i) q^{74} +1.91964 q^{75} +(6.57867 - 2.31000i) q^{76} -17.7799 q^{77} +(-1.44403 - 1.21168i) q^{78} +(-16.2283 + 5.90661i) q^{79} +(0.305250 + 1.73116i) q^{80} +(-1.83820 + 10.4250i) q^{81} +(0.0153270 + 0.00557858i) q^{82} +(2.57831 + 4.46577i) q^{83} +(6.27783 - 10.8735i) q^{84} +(4.87326 - 4.08915i) q^{85} +(-2.21643 + 1.85981i) q^{86} +(-5.00336 + 8.66608i) q^{87} +(4.95213 + 8.57735i) q^{88} +(0.477195 + 0.173685i) q^{89} +(-0.0752691 + 0.426873i) q^{90} +(1.10187 + 6.24904i) q^{91} +(-5.05370 + 1.83940i) q^{92} +(9.65742 + 8.10354i) q^{93} +0.905127 q^{94} +(4.35862 + 0.0496059i) q^{95} -10.8802 q^{96} +(2.51273 + 2.10843i) q^{97} +(5.77942 - 2.10354i) q^{98} +(-0.517226 - 2.93333i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$1$

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 $

$2$	−0.484738	−	0.406743i	−0.342761	−	0.287611i	0.455114	−	0.890433i	$-0.349598\pi$
$2$	−0.484738	−	0.406743i	−0.342761	−	0.287611i	−0.797876	+	0.602822i	$0.794043\pi$
$3$	−1.80387	+	0.656554i	−1.04146	+	0.379062i	−0.805435	−	0.592684i	$-0.798068\pi$
$3$	−1.80387	+	0.656554i	−1.04146	+	0.379062i	−0.236029	+	0.971746i	$0.575846\pi$
$4$	−0.277766	−	1.57529i	−0.138883	−	0.787644i
$5$	0.173648	−	0.984808i	0.0776578	−	0.440419i
$5$	0.173648	−	0.984808i	0.0776578	−	0.440419i
$6$	1.14145	+	0.415455i	0.465996	+	0.169609i
$7$	−2.04448	−	3.54114i	−0.772739	−	1.33842i	−0.936056	−	0.351850i	$-0.885553\pi$
$7$	−2.04448	−	3.54114i	−0.772739	−	1.33842i	0.163317	−	0.986574i	$-0.447781\pi$
$8$	−1.13887	+	1.97259i	−0.402653	+	0.697415i
$9$	0.524744	−	0.440313i	0.174915	−	0.146771i
$10$	−0.484738	+	0.406743i	−0.153288	+	0.128624i
$11$	2.17413	−	3.76571i	0.655526	−	1.13540i	−0.326235	−	0.945289i	$-0.605780\pi$
$11$	2.17413	−	3.76571i	0.655526	−	1.13540i	0.981762	−	0.190116i	$-0.0608864\pi$
$12$	1.53531	+	2.65924i	0.443207	+	0.767657i
$13$	−1.45826	−	0.530764i	−0.404449	−	0.147207i	0.131782	−	0.991279i	$-0.457930\pi$
$13$	−1.45826	−	0.530764i	−0.404449	−	0.147207i	−0.536231	+	0.844071i	$0.680152\pi$
$14$	−0.449299	+	2.54810i	−0.120080	+	0.681008i
$15$	0.333341	+	1.89047i	0.0860684	+	0.488118i
$16$	−1.65185	+	0.601224i	−0.412963	+	0.150306i
$17$	4.87326	+	4.08915i	1.18194	+	0.991765i	0.999964	+	0.00846250i	$0.00269373\pi$
$17$	4.87326	+	4.08915i	1.18194	+	0.991765i	0.181976	+	0.983303i	$0.441751\pi$
$18$	−0.433458			−0.102167
$19$	0.708014	+	4.30101i	0.162429	+	0.986720i
$19$	0.708014	+	4.30101i	0.162429	+	0.986720i
$20$	−1.59959			−0.357679
$21$	6.01291	+	5.04543i	1.31213	+	1.10100i
$22$	−2.58556	+	0.941068i	−0.551244	+	0.200636i
$23$	−0.583829	−	3.31106i	−0.121737	−	0.690403i	−0.983193	−	0.182571i	$-0.941558\pi$
$23$	−0.583829	−	3.31106i	−0.121737	−	0.690403i	0.861456	−	0.507832i	$-0.169553\pi$
$24$	0.759268	−	4.30602i	0.154985	−	0.878963i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	0.490990	+	0.850420i	0.0962911	+	0.166781i
$27$	2.22197	−	3.84857i	0.427619	−	0.740658i
$28$	−5.01042	+	4.20424i	−0.946881	+	0.794527i
$29$	3.99325	−	3.35074i	0.741529	−	0.622216i	−0.191719	−	0.981450i	$-0.561406\pi$
$29$	3.99325	−	3.35074i	0.741529	−	0.622216i	0.933248	+	0.359233i	$0.116962\pi$
$30$	0.607354	−	1.05197i	0.110887	−	0.192062i
$31$	−3.28366	−	5.68747i	−0.589763	−	1.02150i	−0.994263	−	0.106961i	$-0.965888\pi$
$31$	−3.28366	−	5.68747i	−0.589763	−	1.02150i	0.404500	−	0.914538i	$-0.367445\pi$
$32$	5.32603	+	1.93852i	0.941518	+	0.342684i
$33$	−1.44946	+	8.22028i	−0.252318	+	1.43097i
$34$	−0.699019	−	3.96434i	−0.119881	−	0.679878i
$35$	−3.84236	+	1.39850i	−0.649477	+	0.236390i
$36$	−0.839375	−	0.704319i	−0.139896	−	0.117387i
$37$	0.180685			0.0297045			0.0148522	−	0.999890i	$-0.495272\pi$
$37$	0.180685			0.0297045			0.0148522	+	0.999890i	$0.495272\pi$
$38$	1.40621	−	2.37284i	0.228117	−	0.384926i
$39$	2.97899			0.477020
$40$	1.74486	+	1.46411i	0.275886	+	0.231496i
$41$	−0.0242217	+	0.00881597i	−0.00378279	+	0.00137682i	−0.343911	−	0.939002i	$-0.611752\pi$
$41$	−0.0242217	+	0.00881597i	−0.00378279	+	0.00137682i	0.340128	+	0.940379i	$0.389530\pi$
$42$	−0.862490	−	4.89143i	−0.133085	−	0.754763i
$43$	0.793995	−	4.50297i	0.121083	−	0.686696i	−0.862474	−	0.506101i	$-0.831086\pi$
$43$	0.793995	−	4.50297i	0.121083	−	0.686696i	0.983557	−	0.180595i	$-0.0578025\pi$
$44$	−6.53598	−	2.37890i	−0.985336	−	0.358633i
$45$	−0.342502	−	0.593232i	−0.0510573	−	0.0884338i
$46$	−1.06375	+	1.84246i	−0.156841	+	0.271656i
$47$	−1.09575	+	0.919441i	−0.159831	+	0.134114i	−0.719196	−	0.694807i	$-0.755490\pi$
$47$	−1.09575	+	0.919441i	−0.159831	+	0.134114i	0.559365	+	0.828922i	$0.311045\pi$
$48$	2.58498	−	2.16906i	0.373110	−	0.313077i
$49$	−4.85976	+	8.41736i	−0.694252	+	1.20248i
$50$	0.316390	+	0.548004i	0.0447443	+	0.0774995i
$51$	−11.4755	−	4.17673i	−1.60689	−	0.584860i
$52$	−0.431051	+	2.44461i	−0.0597760	+	0.339006i
$53$	−0.278010	−	1.57667i	−0.0381876	−	0.216573i	0.959742	−	0.280882i	$-0.0906268\pi$
$53$	−0.278010	−	1.57667i	−0.0381876	−	0.216573i	−0.997930	+	0.0643090i	$0.979516\pi$
$54$	−2.64246	+	0.961776i	−0.359593	+	0.130881i
$55$	−3.33097	−	2.79501i	−0.449148	−	0.376880i
$56$	9.31361			1.24458
$57$	−4.10101	−	7.29361i	−0.543192	−	0.966063i
$58$	−3.29857			−0.433124
$59$	7.31281	+	6.13617i	0.952046	+	0.798862i	0.979641	−	0.200758i	$-0.0643403\pi$
$59$	7.31281	+	6.13617i	0.952046	+	0.798862i	−0.0275947	+	0.999619i	$0.508785\pi$
$60$	2.88545	−	1.05022i	0.372510	−	0.135582i
$61$	−1.05793	−	5.99980i	−0.135454	−	0.768195i	−0.974543	−	0.224201i	$-0.928023\pi$
$61$	−1.05793	−	5.99980i	−0.135454	−	0.768195i	0.839089	−	0.543994i	$-0.183088\pi$
$62$	−0.721625	+	4.09254i	−0.0916464	+	0.519753i
$63$	−2.63203	−	0.957982i	−0.331605	−	0.120694i
$64$	−0.0353865	−	0.0612913i	−0.00442332	−	0.00766141i
$65$	−0.775925	+	1.34394i	−0.0962416	+	0.166695i
$66$	4.04615	−	3.39513i	0.498047	−	0.417911i
$67$	7.87159	−	6.60505i	0.961668	−	0.806935i	−0.0195559	−	0.999809i	$-0.506225\pi$
$67$	7.87159	−	6.60505i	0.961668	−	0.806935i	0.981224	+	0.192874i	$0.0617808\pi$
$68$	5.08797	−	8.81262i	0.617007	−	1.06869i
$69$	3.22704	+	5.58940i	0.388490	+	0.672884i
$70$	2.43137	+	0.884946i	0.290604	+	0.105771i
$71$	−1.88710	+	10.7023i	−0.223957	+	1.27012i	0.640711	+	0.767782i	$0.278640\pi$
$71$	−1.88710	+	10.7023i	−0.223957	+	1.27012i	−0.864669	+	0.502343i	$0.832472\pi$
$72$	0.270938	+	1.53657i	0.0319303	+	0.181086i
$73$	12.7987	−	4.65836i	1.49798	−	0.545220i	0.542443	−	0.840093i	$-0.317500\pi$
$73$	12.7987	−	4.65836i	1.49798	−	0.545220i	0.955536	+	0.294873i	$0.0952774\pi$
$74$	−0.0875850	−	0.0734926i	−0.0101816	−	0.00854334i
$75$	1.91964			0.221661
$76$	6.57867	−	2.31000i	0.754625	−	0.264975i
$77$	−17.7799			−2.02620
$78$	−1.44403	−	1.21168i	−0.163504	−	0.137196i
$79$	−16.2283	+	5.90661i	−1.82582	+	0.664545i	−0.831839	+	0.555016i	$0.812712\pi$
$79$	−16.2283	+	5.90661i	−1.82582	+	0.664545i	−0.993984	+	0.109529i	$0.965066\pi$
$80$	0.305250	+	1.73116i	0.0341279	+	0.193549i
$81$	−1.83820	+	10.4250i	−0.204245	+	1.15833i
$82$	0.0153270	+	0.00557858i	0.00169259	+	0.000616051i
$83$	2.57831	+	4.46577i	0.283007	+	0.490182i	0.972124	−	0.234468i	$-0.0753348\pi$
$83$	2.57831	+	4.46577i	0.283007	+	0.490182i	−0.689117	+	0.724650i	$0.742001\pi$
$84$	6.27783	−	10.8735i	0.684967	−	1.18640i
$85$	4.87326	−	4.08915i	0.528580	−	0.443531i
$86$	−2.21643	+	1.85981i	−0.239004	+	0.200548i
$87$	−5.00336	+	8.66608i	−0.536417	+	0.929101i
$88$	4.95213	+	8.57735i	0.527899	+	0.914348i
$89$	0.477195	+	0.173685i	0.0505826	+	0.0184106i	0.367188	−	0.930147i	$-0.380321\pi$
$89$	0.477195	+	0.173685i	0.0505826	+	0.0184106i	−0.316605	+	0.948557i	$0.602543\pi$
$90$	−0.0752691	+	0.426873i	−0.00793406	+	0.0449963i
$91$	1.10187	+	6.24904i	0.115508	+	0.655077i
$92$	−5.05370	+	1.83940i	−0.526885	+	0.191770i
$93$	9.65742	+	8.10354i	1.00143	+	0.840298i
$94$	0.905127			0.0933567
$95$	4.35862	+	0.0496059i	0.447185	+	0.00508946i
$96$	−10.8802			−1.11046
$97$	2.51273	+	2.10843i	0.255129	+	0.214079i	0.761377	−	0.648309i	$-0.224524\pi$
$97$	2.51273	+	2.10843i	0.255129	+	0.214079i	−0.506248	+	0.862388i	$0.668968\pi$
$98$	5.77942	−	2.10354i	0.583809	−	0.212489i
$99$	−0.517226	−	2.93333i	−0.0519832	−	0.294811i
$100$	−0.277766	+	1.57529i	−0.0277766	+	0.157529i
$101$	3.27996	+	1.19381i	0.326369	+	0.118788i	0.500008	−	0.866021i	$-0.333330\pi$
$101$	3.27996	+	1.19381i	0.326369	+	0.118788i	−0.173639	+	0.984809i	$0.555553\pi$
$102$	3.86374	+	6.69220i	0.382567	+	0.662626i
$103$	−4.31572	+	7.47504i	−0.425240	+	0.736537i	−0.996443	−	0.0842716i	$-0.973144\pi$
$103$	−4.31572	+	7.47504i	−0.425240	+	0.736537i	0.571203	+	0.820809i	$0.306477\pi$
$104$	2.70776	−	2.27208i	0.265517	−	0.222796i
$105$	6.01291	−	5.04543i	0.586800	−	0.492384i
$106$	−0.506539	+	0.877351i	−0.0491994	+	0.0852159i
$107$	−3.13732	−	5.43399i	−0.303296	−	0.525324i	0.673584	−	0.739110i	$-0.264754\pi$
$107$	−3.13732	−	5.43399i	−0.303296	−	0.525324i	−0.976880	+	0.213786i	$0.931420\pi$
$108$	−6.67980	−	2.43125i	−0.642764	−	0.233947i
$109$	1.71297	−	9.71476i	0.164073	−	0.930506i	−0.785942	−	0.618301i	$-0.787821\pi$
$109$	1.71297	−	9.71476i	0.164073	−	0.930506i	0.950015	−	0.312205i	$-0.101068\pi$
$110$	0.477793	+	2.70970i	0.0455558	+	0.258360i
$111$	−0.325933	+	0.118630i	−0.0309361	+	0.0112598i
$112$	5.50619	+	4.62024i	0.520286	+	0.436571i
$113$	−5.24756			−0.493649			−0.246825	−	0.969060i	$-0.579387\pi$
$113$	−5.24756			−0.493649			−0.246825	+	0.969060i	$0.579387\pi$
$114$	−0.978713	+	5.20355i	−0.0916648	+	0.487357i
$115$	−3.36213			−0.313521
$116$	−6.38756	−	5.35980i	−0.593071	−	0.497645i
$117$	−0.998916	+	0.363576i	−0.0923499	+	0.0336126i
$118$	−1.04895	−	5.94887i	−0.0965634	−	0.547638i
$119$	4.51698	−	25.6171i	0.414071	−	2.34831i
$120$	−4.10876	−	1.49547i	−0.375077	−	0.136517i
$121$	−3.95372	−	6.84804i	−0.359429	−	0.622550i
$122$	−1.92756	+	3.33863i	−0.174513	+	0.302266i
$123$	0.0379046	−	0.0318057i	0.00341774	−	0.00286782i
$124$	−8.04731	+	6.75249i	−0.722669	+	0.606392i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	0.886194	+	1.53493i	0.0789484	+	0.136743i
$127$	−5.00719	−	1.82247i	−0.444316	−	0.161718i	0.110167	−	0.993913i	$-0.464862\pi$
$127$	−5.00719	−	1.82247i	−0.444316	−	0.161718i	−0.554482	+	0.832195i	$0.687084\pi$
$128$	1.96064	−	11.1194i	0.173298	−	0.982822i
$129$	1.52418	+	8.64406i	0.134197	+	0.761067i
$130$	0.922760	−	0.335857i	0.0809314	−	0.0294566i
$131$	−1.31194	−	1.10085i	−0.114625	−	0.0961816i	0.583674	−	0.811988i	$-0.301615\pi$
$131$	−1.31194	−	1.10085i	−0.114625	−	0.0961816i	−0.698298	+	0.715807i	$0.746059\pi$
$132$	13.3519			1.16214
$133$	13.7830	−	11.3005i	1.19513	−	0.979877i
$134$	−6.50222			−0.561706
$135$	−3.40426	−	2.85652i	−0.292992	−	0.245850i
$136$	−13.6163	+	4.95591i	−1.16758	+	0.424966i
$137$	0.997739	+	5.65846i	0.0852426	+	0.483435i	0.997304	+	0.0733811i	$0.0233789\pi$
$137$	0.997739	+	5.65846i	0.0852426	+	0.483435i	−0.912061	+	0.410054i	$0.865510\pi$
$138$	0.709182	−	4.02197i	0.0603695	−	0.342373i
$139$	16.5249	+	6.01458i	1.40162	+	0.510150i	0.928660	−	0.370932i	$-0.120962\pi$
$139$	16.5249	+	6.01458i	1.40162	+	0.510150i	0.472965	+	0.881081i	$0.343184\pi$
$140$	3.27032	+	5.66436i	0.276393	+	0.478726i
$141$	1.37292	−	2.37797i	0.115621	−	0.200261i
$142$	5.26782	−	4.42023i	0.442066	−	0.370937i
$143$	−5.16916	+	4.33744i	−0.432267	+	0.362715i
$144$	−0.602072	+	1.04282i	−0.0501727	+	0.0869016i
$145$	−2.60641	−	4.51444i	−0.216451	−	0.374904i
$146$	−8.09879	−	2.94772i	−0.670261	−	0.243955i
$147$	3.23992	−	18.3745i	0.267224	−	1.51550i
$148$	−0.0501882	−	0.284631i	−0.00412544	−	0.0233966i
$149$	−10.3558	+	3.76921i	−0.848381	+	0.308785i	−0.729380	−	0.684109i	$-0.760191\pi$
$149$	−10.3558	+	3.76921i	−0.848381	+	0.308785i	−0.119001	+	0.992894i	$0.537969\pi$
$150$	−0.930521	−	0.780800i	−0.0759767	−	0.0637520i
$151$	−2.37114			−0.192960			−0.0964802	−	0.995335i	$-0.530758\pi$
$151$	−2.37114			−0.192960			−0.0964802	+	0.995335i	$0.530758\pi$
$152$	−9.29047	−	3.50170i	−0.753557	−	0.284025i
$153$	4.35772			0.352301
$154$	8.61857	+	7.23184i	0.694504	+	0.582758i
$155$	−6.17126	+	2.24616i	−0.495688	+	0.180416i
$156$	−0.827461	−	4.69276i	−0.0662499	−	0.375722i
$157$	−0.561125	+	3.18230i	−0.0447827	+	0.253975i	−0.998977	−	0.0452110i	$-0.985604\pi$
$157$	−0.561125	+	3.18230i	−0.0447827	+	0.253975i	0.954195	+	0.299186i	$0.0967151\pi$
$158$	10.2689	+	3.73759i	0.816952	+	0.297346i
$159$	1.53666	+	2.66158i	0.121865	+	0.211077i
$160$	2.83392	−	4.90849i	0.224041	−	0.388050i
$161$	−10.5313	+	8.83679i	−0.829981	+	0.696437i
$162$	5.13133	−	4.30570i	0.403155	−	0.338288i
$163$	−3.29087	+	5.69996i	−0.257761	+	0.446455i	−0.965642	−	0.259877i	$-0.916318\pi$
$163$	−3.29087	+	5.69996i	−0.257761	+	0.446455i	0.707881	+	0.706332i	$0.249651\pi$
$164$	0.0206156	+	0.0357074i	0.00160981	+	0.00278828i
$165$	7.84370	+	2.85487i	0.610632	+	0.222252i
$166$	0.566616	−	3.21344i	0.0439780	−	0.249411i
$167$	2.75277	+	15.6118i	0.213016	+	1.20807i	0.884316	+	0.466888i	$0.154625\pi$
$167$	2.75277	+	15.6118i	0.213016	+	1.20807i	−0.671300	+	0.741185i	$0.734264\pi$
$168$	−16.8005	+	6.11489i	−1.29619	+	0.471774i
$169$	−8.11376	−	6.80825i	−0.624135	−	0.523712i
$170$	−4.02549			−0.308741
$171$	2.26532	+	1.94518i	0.173233	+	0.148752i
$172$	−7.31401			−0.557688
$173$	−1.45639	−	1.22206i	−0.110728	−	0.0929114i	0.585743	−	0.810497i	$-0.300803\pi$
$173$	−1.45639	−	1.22206i	−0.110728	−	0.0929114i	−0.696470	+	0.717585i	$0.745247\pi$
$174$	5.95019	−	2.16569i	0.451083	−	0.164181i
$175$	0.710039	+	4.02683i	0.0536739	+	0.304400i
$176$	−1.32731	+	7.52753i	−0.100050	+	0.567409i
$177$	−17.2201	−	6.26759i	−1.29434	−	0.471101i
$178$	−0.160670	−	0.278288i	−0.0120427	−	0.0208586i
$179$	7.14016	−	12.3671i	0.533681	−	0.924362i	−0.465545	−	0.885024i	$-0.654142\pi$
$179$	7.14016	−	12.3671i	0.533681	−	0.924362i	0.999226	−	0.0393383i	$-0.0125250\pi$
$180$	−0.839375	+	0.704319i	−0.0625633	+	0.0524969i
$181$	11.0202	−	9.24705i	0.819125	−	0.687328i	−0.133642	−	0.991030i	$-0.542667\pi$
$181$	11.0202	−	9.24705i	0.819125	−	0.687328i	0.952767	+	0.303702i	$0.0982227\pi$
$182$	2.00763	−	3.47733i	0.148816	−	0.257756i
$183$	5.84755	+	10.1283i	0.432263	+	0.748702i
$184$	7.19626	+	2.61922i	0.530515	+	0.193092i
$185$	0.0313757	−	0.177940i	0.00230679	−	0.0130824i
$186$	−1.38526	−	7.85619i	−0.101572	−	0.576043i
$187$	25.9937	−	9.46093i	1.90085	−	0.691852i
$188$	1.75274	+	1.47073i	0.127832	+	0.107264i
$189$	−18.1711			−1.32175
$190$	−2.09261	−	1.79688i	−0.151814	−	0.130360i
$191$	24.1791			1.74954			0.874769	−	0.484540i	$-0.161013\pi$
$191$	24.1791			1.74954			0.874769	+	0.484540i	$0.161013\pi$
$192$	0.104074	+	0.0873282i	0.00751087	+	0.00630237i
$193$	4.80540	−	1.74902i	0.345900	−	0.125897i	−0.163227	−	0.986588i	$-0.552190\pi$
$193$	4.80540	−	1.74902i	0.345900	−	0.125897i	0.509128	+	0.860691i	$0.329968\pi$
$194$	−0.360425	−	2.04407i	−0.0258770	−	0.146756i
$195$	0.517296	−	2.93373i	0.0370443	−	0.210089i
$196$	14.6096	+	5.31747i	1.04355	+	0.379819i
$197$	−0.0321431	−	0.0556735i	−0.00229010	−	0.00396658i	0.864878	−	0.501982i	$-0.167396\pi$
$197$	−0.0321431	−	0.0556735i	−0.00229010	−	0.00396658i	−0.867168	+	0.498015i	$0.834062\pi$
$198$	−0.942395	+	1.63228i	−0.0669731	+	0.116001i
$199$	−4.88735	+	4.10098i	−0.346455	+	0.290711i	−0.799365	−	0.600846i	$-0.794831\pi$
$199$	−4.88735	+	4.10098i	−0.346455	+	0.290711i	0.452910	+	0.891556i	$0.350386\pi$
$200$	1.74486	−	1.46411i	0.123380	−	0.103528i
$201$	−9.86274	+	17.0828i	−0.695664	+	1.20493i
$202$	−1.10435	−	1.91279i	−0.0777017	−	0.134583i
$203$	−20.0295	−	7.29015i	−1.40580	−	0.511668i
$204$	−3.39206	+	19.2373i	−0.237492	+	1.34688i
$205$	0.00447599	+	0.0253846i	0.000312617	+	0.00177294i
$206$	5.13241	−	1.86805i	0.357592	−	0.130153i
$207$	−1.76426	−	1.48039i	−0.122625	−	0.102894i
$208$	2.72794			0.189149
$209$	17.7357	+	6.68481i	1.22680	+	0.462398i
$210$	−4.96688			−0.342748
$211$	−4.52874	−	3.80006i	−0.311771	−	0.261607i	0.473453	−	0.880819i	$-0.343008\pi$
$211$	−4.52874	−	3.80006i	−0.311771	−	0.261607i	−0.785224	+	0.619212i	$0.787452\pi$
$212$	−2.40649	+	0.875891i	−0.165278	+	0.0601564i
$213$	−3.62254	−	20.5445i	−0.248212	−	1.40768i
$214$	−0.689464	+	3.91015i	−0.0471308	+	0.267292i
$215$	−4.29668	−	1.56386i	−0.293031	−	0.106655i
$216$	5.06110	+	8.76609i	0.344364	+	0.596457i
$217$	−13.4267	+	23.2558i	−0.911466	+	1.57870i
$218$	−4.78176	+	4.01237i	−0.323862	+	0.271752i
$219$	−20.0288	+	16.8061i	−1.35342	+	1.13565i
$220$	−3.47772	+	6.02359i	−0.234468	+	0.406110i
$221$	−4.93612	−	8.54961i	−0.332039	−	0.575109i
$222$	0.206244	+	0.0750666i	0.0138422	+	0.00503814i
$223$	−5.09043	+	28.8693i	−0.340881	+	1.93323i	0.0179785	+	0.999838i	$0.494277\pi$
$223$	−5.09043	+	28.8693i	−0.340881	+	1.93323i	−0.358859	+	0.933392i	$0.616834\pi$
$224$	−4.02439	−	22.8234i	−0.268891	−	1.52495i
$225$	−0.643694	+	0.234285i	−0.0429129	+	0.0156190i
$226$	2.54369	+	2.13441i	0.169204	+	0.141979i
$227$	8.00202			0.531113			0.265557	−	0.964095i	$-0.414444\pi$
$227$	8.00202			0.531113			0.265557	+	0.964095i	$0.414444\pi$
$228$	−10.3504	+	8.48619i	−0.685473	+	0.562012i
$229$	28.2694			1.86809			0.934047	−	0.357150i	$-0.116251\pi$
$229$	28.2694			1.86809			0.934047	+	0.357150i	$0.116251\pi$
$230$	1.62975	+	1.36753i	0.107463	+	0.0901720i
$231$	32.0725	−	11.6734i	2.11022	−	0.768056i
$232$	2.06181	+	11.6931i	0.135365	+	0.767691i
$233$	−1.18970	+	6.74715i	−0.0779401	+	0.442020i	0.920718	+	0.390229i	$0.127604\pi$
$233$	−1.18970	+	6.74715i	−0.0779401	+	0.442020i	−0.998658	+	0.0517912i	$0.983507\pi$
$234$	0.632095	+	0.230064i	0.0413213	+	0.0150397i
$235$	0.715198	+	1.23876i	0.0466544	+	0.0808078i
$236$	7.63499	−	13.2242i	0.496996	−	0.860821i
$237$	25.3957	−	21.3095i	1.64963	−	1.38420i
$238$	−12.6091	+	10.5803i	−0.817328	+	0.685820i
$239$	6.69674	−	11.5991i	0.433176	−	0.750283i	−0.563969	−	0.825796i	$-0.690726\pi$
$239$	6.69674	−	11.5991i	0.433176	−	0.750283i	0.997145	+	0.0755132i	$0.0240595\pi$
$240$	−1.68723	−	2.92237i	−0.108910	−	0.188638i
$241$	24.1069	+	8.77421i	1.55286	+	0.565196i	0.969087	−	0.246717i	$-0.0793520\pi$
$241$	24.1069	+	8.77421i	1.55286	+	0.565196i	0.583777	+	0.811914i	$0.301574\pi$
$242$	−0.868879	+	4.92766i	−0.0558536	+	0.316762i
$243$	−1.21363	−	6.88283i	−0.0778543	−	0.441534i
$244$	−9.15755	+	3.33308i	−0.586252	+	0.213378i
$245$	7.44559	+	6.24759i	0.475681	+	0.399144i
$246$	−0.0313106			−0.00199629
$247$	1.25035	−	6.64779i	0.0795581	−	0.422989i
$248$	14.9587			0.949879
$249$	−7.58296	−	6.36286i	−0.480551	−	0.403230i
$250$	0.594619	−	0.216424i	0.0376070	−	0.0136878i
$251$	−1.58376	−	8.98194i	−0.0999660	−	0.566935i	−0.993112	−	0.117168i	$-0.962618\pi$
$251$	−1.58376	−	8.98194i	−0.0999660	−	0.566935i	0.893146	−	0.449767i	$-0.148493\pi$
$252$	−0.778008	+	4.41230i	−0.0490099	+	0.277949i
$253$	−13.7378	−	5.00015i	−0.863688	−	0.314357i
$254$	1.68590	+	2.92006i	0.105783	+	0.183221i
$255$	−6.10597	+	10.5759i	−0.382371	+	0.662286i
$256$	−5.58156	+	4.68348i	−0.348847	+	0.292718i
$257$	−18.9570	+	15.9068i	−1.18250	+	0.992237i	−0.182543	+	0.983198i	$0.558433\pi$
$257$	−18.9570	+	15.9068i	−1.18250	+	0.992237i	−0.999959	+	0.00903962i	$0.997123\pi$
$258$	2.77709	−	4.81006i	0.172894	−	0.299461i
$259$	−0.369407	−	0.639831i	−0.0229538	−	0.0397572i
$260$	2.33262	+	0.849004i	0.144663	+	0.0526530i
$261$	0.620065	−	3.51656i	0.0383810	−	0.217670i
$262$	0.188184	+	1.06725i	0.0116261	+	0.0659347i
$263$	13.7492	−	5.00428i	0.847809	−	0.308577i	0.118662	−	0.992935i	$-0.462139\pi$
$263$	13.7492	−	5.00428i	0.847809	−	0.308577i	0.729147	+	0.684357i	$0.239917\pi$
$264$	−14.5645	−	12.2211i	−0.896382	−	0.752154i
$265$	−1.60099			−0.0983483
$266$	−11.2775	−	0.128351i	−0.691469	−	0.00786969i
$267$	−0.974832			−0.0596587
$268$	−12.5913	−	10.5654i	−0.769136	−	0.645382i
$269$	−16.1661	+	5.88396i	−0.985662	+	0.358752i	−0.784039	−	0.620712i	$-0.786844\pi$
$269$	−16.1661	+	5.88396i	−0.985662	+	0.358752i	−0.201623	+	0.979463i	$0.564622\pi$
$270$	0.488306	+	2.76932i	0.0297174	+	0.168536i
$271$	2.37389	−	13.4630i	0.144203	−	0.817819i	−0.823800	−	0.566881i	$-0.808150\pi$
$271$	2.37389	−	13.4630i	0.144203	−	0.817819i	0.968003	−	0.250938i	$-0.0807389\pi$
$272$	−10.5084	−	3.82475i	−0.637165	−	0.231909i
$273$	−6.09047	−	10.5490i	−0.368612	−	0.638455i
$274$	1.81790	−	3.14869i	0.109823	−	0.190220i
$275$	−3.33097	+	2.79501i	−0.200865	+	0.168546i
$276$	7.90854	−	6.63606i	0.476038	−	0.399444i
$277$	6.72984	−	11.6564i	0.404357	−	0.700367i	−0.589889	−	0.807484i	$-0.700829\pi$
$277$	6.72984	−	11.6564i	0.404357	−	0.700367i	0.994246	+	0.107117i	$0.0341620\pi$
$278$	−5.56386	−	9.63689i	−0.333698	−	0.577982i
$279$	−4.22735	−	1.53863i	−0.253085	−	0.0921152i
$280$	1.61729	−	9.17211i	0.0966516	−	0.548139i
$281$	−3.03476	−	17.2110i	−0.181039	−	1.02672i	−0.930940	−	0.365172i	$-0.881010\pi$
$281$	−3.03476	−	17.2110i	−0.181039	−	1.02672i	0.749901	−	0.661550i	$-0.230101\pi$
$282$	−1.63273	+	0.594265i	−0.0972276	+	0.0353880i
$283$	−16.1126	−	13.5201i	−0.957794	−	0.803684i	0.0227990	−	0.999740i	$-0.492742\pi$
$283$	−16.1126	−	13.5201i	−0.957794	−	0.803684i	−0.980593	+	0.196056i	$0.937187\pi$
$284$	17.3833			1.03151
$285$	−7.89494	+	2.77219i	−0.467656	+	0.164210i
$286$	4.26991			0.252485
$287$	0.0807392	+	0.0677483i	0.00476589	+	0.00399905i
$288$	3.64836	−	1.32789i	0.214981	−	0.0782468i
$289$	4.07550	+	23.1133i	0.239735	+	1.35961i
$290$	−0.572791	+	3.24846i	−0.0336354	+	0.190756i
$291$	−5.91693	−	2.15359i	−0.346857	−	0.126246i
$292$	−10.8933	−	18.8678i	−0.637483	−	1.10415i
$293$	5.36574	−	9.29373i	0.313470	−	0.542945i	−0.665641	−	0.746272i	$-0.731842\pi$
$293$	5.36574	−	9.29373i	0.313470	−	0.542945i	0.979111	+	0.203326i	$0.0651753\pi$
$294$	−9.04422	+	7.58900i	−0.527470	+	0.442600i
$295$	7.31281	−	6.13617i	0.425768	−	0.357262i
$296$	−0.205778	+	0.356418i	−0.0119606	+	0.0207164i
$297$	−9.66174	−	16.7346i	−0.560631	−	0.971042i
$298$	6.55295	+	2.38508i	0.379602	+	0.138164i
$299$	−0.906014	+	5.13826i	−0.0523962	+	0.297153i
$300$	−0.533209	−	3.02398i	−0.0307848	−	0.174590i
$301$	−17.5689	+	6.39457i	−1.01266	+	0.368577i
$302$	1.14938	+	0.964444i	0.0661394	+	0.0554975i
$303$	−6.70042			−0.384929
$304$	−3.75541	−	6.67896i	−0.215387	−	0.383064i
$305$	−6.09235			−0.348847
$306$	−2.11235	−	1.77248i	−0.120755	−	0.101326i
$307$	2.54584	−	0.926610i	0.145299	−	0.0528845i	−0.268347	−	0.963322i	$-0.586477\pi$
$307$	2.54584	−	0.926610i	0.145299	−	0.0528845i	0.413646	+	0.910438i	$0.364255\pi$
$308$	4.93864	+	28.0084i	0.281405	+	1.59593i
$309$	2.87721	−	16.3175i	0.163679	−	0.928269i
$310$	3.90505	+	1.42132i	0.221792	+	0.0807257i
$311$	3.62852	+	6.28478i	0.205755	+	0.356377i	0.950373	−	0.311113i	$-0.100702\pi$
$311$	3.62852	+	6.28478i	0.205755	+	0.356377i	−0.744618	+	0.667491i	$0.767368\pi$
$312$	−3.39269	+	5.87632i	−0.192073	+	0.332681i
$313$	−6.64853	+	5.57878i	−0.375797	+	0.315331i	−0.811050	−	0.584977i	$-0.801103\pi$
$313$	−6.64853	+	5.57878i	−0.375797	+	0.315331i	0.435253	+	0.900308i	$0.356659\pi$
$314$	1.56638	−	1.31435i	0.0883958	−	0.0741729i
$315$	−1.40048	+	2.42570i	−0.0789079	+	0.136672i
$316$	13.8123	+	23.9235i	0.777000	+	1.34580i
$317$	30.0020	+	10.9198i	1.68508	+	0.613319i	0.993992	−	0.109451i	$-0.0349091\pi$
$317$	30.0020	+	10.9198i	1.68508	+	0.613319i	0.691089	+	0.722770i	$0.257131\pi$
$318$	0.337701	−	1.91520i	0.0189373	−	0.107399i
$319$	−3.93604	−	22.3224i	−0.220376	−	1.24981i
$320$	−0.0665049	+	0.0242058i	−0.00371774	+	0.00135315i
$321$	9.22702	+	7.74239i	0.515002	+	0.432138i
$322$	8.69922			0.484788
$323$	−14.1372	+	23.8551i	−0.786613	+	1.32734i
$324$	16.9329			0.940717
$325$	1.18879	+	0.997510i	0.0659420	+	0.0553319i
$326$	3.91363	−	1.42445i	0.216756	−	0.0788928i
$327$	3.28829	+	18.6488i	0.181843	+	1.03128i
$328$	0.0101952	−	0.0578197i	0.000562935	−	0.00319256i
$329$	5.49609	+	2.00041i	0.303009	+	0.110286i
$330$	−2.64094	−	4.57424i	−0.145379	−	0.251804i
$331$	−12.1500	+	21.0443i	−0.667822	+	1.15670i	0.310690	+	0.950511i	$0.399440\pi$
$331$	−12.1500	+	21.0443i	−0.667822	+	1.15670i	−0.978512	+	0.206190i	$0.933893\pi$
$332$	6.31871	−	5.30202i	0.346784	−	0.290986i
$333$	0.0948136	−	0.0795580i	0.00519575	−	0.00435975i
$334$	5.01560	−	8.68728i	0.274442	−	0.475347i
$335$	−5.13781	−	8.89896i	−0.280709	−	0.486202i
$336$	−12.9659	−	4.71919i	−0.707346	−	0.257453i
$337$	4.92922	−	27.9550i	0.268512	−	1.52280i	−0.490334	−	0.871534i	$-0.663125\pi$
$337$	4.92922	−	27.9550i	0.268512	−	1.52280i	0.758846	−	0.651270i	$-0.225764\pi$
$338$	1.16384	+	6.60044i	0.0633043	+	0.359016i
$339$	9.46591	−	3.44531i	0.514118	−	0.187124i
$340$	−7.79522	−	6.54097i	−0.422755	−	0.354734i
$341$	−28.5565			−1.54642
$342$	−0.306894	−	1.86431i	−0.0165949	−	0.100810i
$343$	11.1200			0.600424
$344$	7.97824	+	6.69454i	0.430158	+	0.360945i
$345$	6.06485	−	2.20742i	0.326520	−	0.118844i
$346$	0.208905	+	1.18476i	0.0112308	+	0.0636929i
$347$	−5.40071	+	30.6289i	−0.289925	+	1.64425i	0.397217	+	0.917725i	$0.369976\pi$
$347$	−5.40071	+	30.6289i	−0.289925	+	1.64425i	−0.687142	+	0.726523i	$0.741135\pi$
$348$	15.0413	+	5.47460i	0.806300	+	0.293469i
$349$	−8.73989	−	15.1379i	−0.467836	−	0.810315i	0.531489	−	0.847065i	$-0.321633\pi$
$349$	−8.73989	−	15.1379i	−0.467836	−	0.810315i	−0.999324	+	0.0367503i	$0.988299\pi$
$350$	1.29370	−	2.24076i	0.0691514	−	0.119774i
$351$	−5.28290	+	4.43288i	−0.281981	+	0.236610i
$352$	18.8794	−	15.8417i	1.00627	−	0.844365i
$353$	4.41270	−	7.64303i	0.234865	−	0.406797i	−0.724369	−	0.689413i	$-0.757869\pi$
$353$	4.41270	−	7.64303i	0.234865	−	0.406797i	0.959233	+	0.282615i	$0.0912020\pi$
$354$	5.79792	+	10.0423i	0.308156	+	0.533742i
$355$	10.2120	+	3.71686i	0.541996	+	0.197270i
$356$	0.141055	−	0.799964i	0.00747591	−	0.0423980i
$357$	8.67096	+	49.1755i	0.458916	+	2.60264i
$358$	−8.49136	+	3.09060i	−0.448782	+	0.163343i
$359$	15.2610	+	12.8055i	0.805443	+	0.675847i	0.949515	−	0.313720i	$-0.101575\pi$
$359$	15.2610	+	12.8055i	0.805443	+	0.675847i	−0.144073	+	0.989567i	$0.546020\pi$
$360$	1.56027			0.0822334
$361$	−17.9974	+	6.09035i	−0.947233	+	0.320545i
$362$	−9.10309			−0.478448
$363$	11.6281	+	9.75714i	0.610317	+	0.512117i
$364$	9.53797	−	3.47154i	0.499925	−	0.181958i
$365$	−2.36511	−	13.4132i	−0.123796	−	0.702080i
$366$	1.28507	−	7.28800i	0.0671718	−	0.380950i
$367$	−7.94641	−	2.89226i	−0.414799	−	0.150975i	0.126186	−	0.992007i	$-0.459726\pi$
$367$	−7.94641	−	2.89226i	−0.414799	−	0.150975i	−0.540985	+	0.841032i	$0.681949\pi$
$368$	2.95509	+	5.11836i	0.154044	+	0.266813i
$369$	−0.00882841	+	0.0152912i	−0.000459589	+	0.000796031i
$370$	−0.0875850	+	0.0734926i	−0.00455333	+	0.00382070i
$371$	−5.01483	+	4.20794i	−0.260357	+	0.218465i
$372$	10.0829	−	17.4641i	0.522774	−	0.905471i
$373$	3.56895	+	6.18160i	0.184793	+	0.320071i	0.943507	−	0.331353i	$-0.107505\pi$
$373$	3.56895	+	6.18160i	0.184793	+	0.320071i	−0.758714	+	0.651424i	$0.774172\pi$
$374$	−16.4483	−	5.98669i	−0.850522	−	0.309565i
$375$	0.333341	−	1.89047i	0.0172137	−	0.0976236i
$376$	−0.565760	−	3.20859i	−0.0291769	−	0.165470i
$377$	−7.60166	+	2.76678i	−0.391505	+	0.142496i
$378$	8.80822	+	7.39097i	0.453046	+	0.380151i
$379$	6.11358			0.314033			0.157017	−	0.987596i	$-0.449812\pi$
$379$	6.11358			0.314033			0.157017	+	0.987596i	$0.449812\pi$
$380$	−1.13253	−	6.87985i	−0.0580976	−	0.352929i
$381$	10.2289			0.524040
$382$	−11.7205	−	9.83469i	−0.599674	−	0.503186i
$383$	−0.492206	+	0.179148i	−0.0251505	+	0.00915404i	−0.354565	−	0.935031i	$-0.615371\pi$
$383$	−0.492206	+	0.179148i	−0.0251505	+	0.00915404i	0.329414	+	0.944185i	$0.393149\pi$
$384$	3.76372	+	21.3451i	0.192067	+	1.08926i
$385$	−3.08744	+	17.5097i	−0.157351	+	0.892379i
$386$	−3.04076	−	1.10675i	−0.154771	−	0.0563319i
$387$	−1.56607	−	2.71251i	−0.0796078	−	0.137885i
$388$	2.62343	−	4.54392i	0.133185	−	0.230683i
$389$	−1.91233	+	1.60464i	−0.0969590	+	0.0813583i	−0.689979	−	0.723830i	$-0.742380\pi$
$389$	−1.91233	+	1.60464i	−0.0969590	+	0.0813583i	0.593020	+	0.805188i	$0.297936\pi$
$390$	−1.44403	+	1.21168i	−0.0731212	+	0.0613560i
$391$	10.6943	−	18.5230i	0.540832	−	0.936749i
$392$	−11.0693	−	19.1726i	−0.559085	−	0.968364i
$393$	3.08933	+	1.12443i	0.155836	+	0.0567198i
$394$	−0.00706385	+	0.0400611i	−0.000355872	+	0.00201825i
$395$	2.99886	+	17.0074i	0.150889	+	0.855735i
$396$	−4.47718	+	1.62956i	−0.224987	+	0.0818884i
$397$	−2.21214	−	1.85621i	−0.111024	−	0.0931604i	0.585586	−	0.810611i	$-0.300865\pi$
$397$	−2.21214	−	1.85621i	−0.111024	−	0.0931604i	−0.696610	+	0.717450i	$0.745309\pi$
$398$	4.03713			0.202363
$399$	−17.4433	+	29.4339i	−0.873255	+	1.47354i
$400$	1.75786			0.0878931
$401$	−13.2096	−	11.0842i	−0.659658	−	0.553519i	0.250326	−	0.968162i	$-0.419462\pi$
$401$	−13.2096	−	11.0842i	−0.659658	−	0.553519i	−0.909984	+	0.414643i	$0.863907\pi$
$402$	11.7291	−	4.26906i	0.584997	−	0.212921i
$403$	1.76973	+	10.0367i	0.0881567	+	0.499962i
$404$	0.969531	−	5.49848i	0.0482360	−	0.273560i
$405$	9.94738	+	3.62055i	0.494289	+	0.179907i
$406$	6.74385	+	11.6807i	0.334692	+	0.579703i
$407$	0.392834	−	0.680409i	0.0194721	−	0.0337266i
$408$	21.3081	−	17.8796i	1.05491	−	0.885173i
$409$	−20.0017	+	16.7834i	−0.989019	+	0.829886i	−0.985425	−	0.170108i	$-0.945588\pi$
$409$	−20.0017	+	16.7834i	−0.989019	+	0.829886i	−0.00359375	+	0.999994i	$0.501144\pi$
$410$	0.00815533	−	0.0141255i	0.000402763	−	0.000697606i
$411$	−5.51488	−	9.55205i	−0.272029	−	0.471168i
$412$	12.9741	+	4.72218i	0.639188	+	0.232645i
$413$	6.77817	−	38.4409i	0.333532	−	1.89155i
$414$	0.253065	+	1.43520i	0.0124375	+	0.0705364i
$415$	4.84565	−	1.76367i	0.237863	−	0.0865752i
$416$	−6.73785	−	5.65373i	−0.330350	−	0.277197i
$417$	−33.7577			−1.65312
$418$	−5.87816	−	10.4543i	−0.287510	−	0.511334i
$419$	−0.112702			−0.00550586			−0.00275293	−	0.999996i	$-0.500876\pi$
$419$	−0.112702			−0.00550586			−0.00275293	+	0.999996i	$0.500876\pi$
$420$	−9.61819	−	8.07062i	−0.469320	−	0.393806i
$421$	−18.9996	+	6.91529i	−0.925985	+	0.337031i	−0.760617	−	0.649201i	$-0.775103\pi$
$421$	−18.9996	+	6.91529i	−0.925985	+	0.337031i	−0.165368	+	0.986232i	$0.552881\pi$
$422$	0.649600	+	3.68407i	0.0316221	+	0.179338i
$423$	−0.170145	+	0.964943i	−0.00827275	+	0.0469171i
$424$	3.42674	+	1.24723i	0.166417	+	0.0605710i
$425$	−3.18080	−	5.50930i	−0.154291	−	0.267240i
$426$	−6.60034	+	11.4321i	−0.319787	+	0.553888i
$427$	−19.0832	+	16.0127i	−0.923500	+	0.774909i
$428$	−7.68866	+	6.45156i	−0.371646	+	0.311848i
$429$	6.47672	−	11.2180i	0.312699	−	0.541610i
$430$	1.44667	+	2.50571i	0.0697648	+	0.120836i
$431$	38.1011	+	13.8677i	1.83526	+	0.667982i	0.991306	+	0.131573i	$0.0420028\pi$
$431$	38.1011	+	13.8677i	1.83526	+	0.667982i	0.843958	+	0.536409i	$0.180219\pi$
$432$	−1.35651	+	7.69317i	−0.0652653	+	0.370138i
$433$	−3.95457	−	22.4275i	−0.190044	−	1.07779i	−0.919301	−	0.393555i	$-0.871245\pi$
$433$	−3.95457	−	22.4275i	−0.190044	−	1.07779i	0.729257	−	0.684240i	$-0.239866\pi$
$434$	15.9676	−	5.81172i	0.766468	−	0.278972i
$435$	7.66560	+	6.43220i	0.367537	+	0.308400i
$436$	−15.7794			−0.755694
$437$	13.8275	−	4.85533i	0.661461	−	0.232262i
$438$	16.5445			0.790526
$439$	−25.0285	−	21.0014i	−1.19455	−	1.00234i	−0.999769	−	0.0214950i	$-0.993157\pi$
$439$	−25.0285	−	21.0014i	−1.19455	−	1.00234i	−0.194777	−	0.980848i	$-0.562398\pi$
$440$	9.30697	−	3.38746i	0.443692	−	0.161491i
$441$	1.15614	+	6.55677i	0.0550541	+	0.312227i
$442$	−1.08477	+	6.15205i	−0.0515974	+	0.292623i
$443$	13.0384	+	4.74560i	0.619475	+	0.225470i	0.632644	−	0.774443i	$-0.281970\pi$
$443$	13.0384	+	4.74560i	0.619475	+	0.225470i	−0.0131689	+	0.999913i	$0.504192\pi$
$444$	0.277409	+	0.480486i	0.0131652	+	0.0228029i
$445$	0.253910	−	0.439786i	0.0120365	−	0.0208478i
$446$	14.2099	−	11.9235i	0.672859	−	0.564596i
$447$	16.2058	−	13.5983i	0.766510	−	0.643178i
$448$	−0.144694	+	0.250617i	−0.00683614	+	0.0118405i
$449$	3.00375	+	5.20265i	0.141756	+	0.245528i	0.928158	−	0.372187i	$-0.121392\pi$
$449$	3.00375	+	5.20265i	0.141756	+	0.245528i	−0.786402	+	0.617715i	$0.788059\pi$
$450$	0.407317	+	0.148251i	0.0192011	+	0.00698863i
$451$	−0.0194628	+	0.110379i	−0.000916467	+	0.00519754i
$452$	1.45759	+	8.26642i	0.0685594	+	0.388820i
$453$	4.27722	−	1.55678i	0.200961	−	0.0731439i
$454$	−3.87889	−	3.25477i	−0.182045	−	0.152754i
$455$	6.34544			0.297479
$456$	19.0578	+	0.216899i	0.892465	+	0.0101572i
$457$	−23.9751			−1.12151			−0.560754	−	0.827982i	$-0.689489\pi$
$457$	−23.9751			−1.12151			−0.560754	+	0.827982i	$0.689489\pi$
$458$	−13.7032	−	11.4984i	−0.640311	−	0.537285i
$459$	26.5657	−	9.66912i	1.23998	−	0.451316i
$460$	0.933886	+	5.29633i	0.0435426	+	0.246943i
$461$	−6.26625	+	35.5376i	−0.291848	+	1.65515i	0.387896	+	0.921703i	$0.373202\pi$
$461$	−6.26625	+	35.5376i	−0.291848	+	1.65515i	−0.679744	+	0.733450i	$0.737909\pi$
$462$	−20.2949	−	7.38673i	−0.944203	−	0.343662i
$463$	−3.52141	−	6.09926i	−0.163654	−	0.283457i	0.772523	−	0.634987i	$-0.218995\pi$
$463$	−3.52141	−	6.09926i	−0.163654	−	0.283457i	−0.936176	+	0.351531i	$0.885661\pi$
$464$	−4.58171	+	7.93576i	−0.212701	+	0.368408i
$465$	9.65742	−	8.10354i	0.447852	−	0.375793i
$466$	3.32105	−	2.78669i	0.153845	−	0.129091i
$467$	−19.8650	+	34.4072i	−0.919244	+	1.59218i	−0.118678	+	0.992933i	$0.537866\pi$
$467$	−19.8650	+	34.4072i	−0.919244	+	1.59218i	−0.800566	+	0.599245i	$0.795468\pi$
$468$	0.850201	+	1.47259i	0.0393006	+	0.0680706i
$469$	−39.4826	−	14.3705i	−1.82314	−	0.663568i
$470$	0.157174	−	0.891376i	0.00724988	−	0.0411161i
$471$	−1.07716	−	6.10886i	−0.0496327	−	0.281481i
$472$	−20.4325	+	7.43683i	−0.940483	+	0.342308i
$473$	−15.2306	−	12.7800i	−0.700305	−	0.587626i
$474$	−20.9777			−0.963539
$475$	0.805718	−	4.28379i	0.0369689	−	0.196554i
$476$	−41.6089			−1.90714
$477$	−0.840113	−	0.704938i	−0.0384661	−	0.0322769i
$478$	−7.96402	+	2.89867i	−0.364266	+	0.132582i
$479$	−6.30401	−	35.7518i	−0.288038	−	1.63354i	−0.694229	−	0.719754i	$-0.744255\pi$
$479$	−6.30401	−	35.7518i	−0.288038	−	1.63354i	0.406192	−	0.913788i	$-0.366857\pi$
$480$	−1.88933	+	10.7149i	−0.0862355	+	0.489066i
$481$	−0.263486	−	0.0959012i	−0.0120139	−	0.00437272i
$482$	−8.11670	−	14.0585i	−0.369705	−	0.640349i
$483$	13.1952	−	22.8548i	0.600403	−	1.03993i
$484$	−9.68943	+	8.13040i	−0.440429	+	0.369564i
$485$	2.51273	−	2.10843i	0.114097	−	0.0957389i
$486$	−2.21125	+	3.83000i	−0.100305	+	0.173733i
$487$	1.26752	+	2.19541i	0.0574368	+	0.0994835i	0.893314	−	0.449433i	$-0.148374\pi$
$487$	1.26752	+	2.19541i	0.0574368	+	0.0994835i	−0.835877	+	0.548916i	$0.815041\pi$
$488$	13.0400	+	4.74616i	0.590292	+	0.214849i
$489$	2.19397	−	12.4426i	0.0992147	−	0.562675i
$490$	−1.06799	−	6.05689i	−0.0482470	−	0.273622i
$491$	34.1243	−	12.4202i	1.54001	−	0.560516i	0.573959	−	0.818884i	$-0.305407\pi$
$491$	34.1243	−	12.4202i	1.54001	−	0.560516i	0.966047	+	0.258367i	$0.0831845\pi$
$492$	−0.0606317	−	0.0508761i	−0.00273349	−	0.00229367i
$493$	33.1619			1.49354
$494$	−3.31004	+	2.71386i	−0.148926	+	0.122102i
$495$	−2.97859			−0.133877
$496$	8.84356	+	7.42063i	0.397088	+	0.333196i
$497$	41.7563	−	15.1980i	1.87303	−	0.681725i
$498$	1.08770	+	6.16864i	0.0487409	+	0.276423i
$499$	−3.11167	+	17.6471i	−0.139297	+	0.789994i	0.832473	+	0.554066i	$0.186924\pi$
$499$	−3.11167	+	17.6471i	−0.139297	+	0.789994i	−0.971770	+	0.235929i	$0.924187\pi$
$500$	1.50312	+	0.547092i	0.0672217	+	0.0244667i
$501$	−15.2156	−	26.3542i	−0.679783	−	1.17742i
$502$	−2.88564	+	4.99807i	−0.128792	+	0.223075i
$503$	−15.7096	+	13.1819i	−0.700457	+	0.587753i	−0.921904	−	0.387419i	$-0.873367\pi$
$503$	−15.7096	+	13.1819i	−0.700457	+	0.587753i	0.221447	+	0.975173i	$0.428922\pi$
$504$	4.88726	−	4.10090i	0.217696	−	0.182669i
$505$	1.74523	−	3.02283i	0.0776618	−	0.134514i
$506$	4.62546	+	8.01153i	0.205627	+	0.356156i
$507$	19.1061	+	6.95407i	0.848534	+	0.308841i
$508$	−1.48008	+	8.39397i	−0.0656681	+	0.372422i
$509$	−2.67442	−	15.1674i	−0.118542	−	0.672283i	−0.984936	−	0.172922i	$-0.944679\pi$
$509$	−2.67442	−	15.1674i	−0.118542	−	0.672283i	0.866394	−	0.499361i	$-0.166432\pi$
$510$	7.26146	−	2.64295i	0.321543	−	0.117032i
$511$	−42.6626	−	35.7982i	−1.88728	−	1.58362i
$512$	−17.9712			−0.794223
$513$	18.1260	+	6.83190i	0.800280	+	0.301636i
$514$	15.6591			0.690695
$515$	6.61206	+	5.54818i	0.291362	+	0.244482i
$516$	13.1935	−	4.80205i	0.580812	−	0.211398i
$517$	1.08005	+	6.12526i	0.0475004	+	0.269388i
$518$	−0.0811817	+	0.460404i	−0.00356692	+	0.0202290i
$519$	3.42949	+	1.24823i	0.150538	+	0.0547913i
$520$	−1.76736	−	3.06116i	−0.0775040	−	0.134241i
$521$	1.17999	−	2.04381i	0.0516965	−	0.0895409i	−0.839019	−	0.544102i	$-0.816870\pi$
$521$	1.17999	−	2.04381i	0.0516965	−	0.0895409i	0.890716	+	0.454561i	$0.150204\pi$
$522$	−1.73091	+	1.45240i	−0.0757597	+	0.0635700i
$523$	14.5909	−	12.2432i	0.638014	−	0.535358i	−0.265393	−	0.964140i	$-0.585502\pi$
$523$	14.5909	−	12.2432i	0.638014	−	0.535358i	0.903408	+	0.428783i	$0.141057\pi$
$524$	−1.36974	+	2.37246i	−0.0598374	+	0.103641i
$525$	−3.92465	−	6.79769i	−0.171286	−	0.296676i
$526$	−8.70019	−	3.16661i	−0.379346	−	0.138071i
$527$	7.25478	−	41.1439i	0.316023	−	1.79226i
$528$	−2.54795	−	14.4501i	−0.110885	−	0.628861i
$529$	10.9907	−	4.00028i	0.477856	−	0.173925i
$530$	0.776063	+	0.651194i	0.0337100	+	0.0282861i
$531$	6.53919			0.283777
$532$	−21.6300	−	18.5732i	−0.937777	−	0.805252i
$533$	0.0400008			0.00173263
$534$	0.472538	+	0.396506i	0.0204487	+	0.0171585i
$535$	−5.89623	+	2.14605i	−0.254916	+	0.0927819i
$536$	4.06429	+	23.0497i	0.175551	+	0.995597i
$537$	−4.76022	+	26.9966i	−0.205419	+	1.16499i
$538$	10.2296	+	3.72326i	0.441028	+	0.160521i
$539$	21.1316	+	36.6009i	0.910200	+	1.57651i
$540$	−3.55425	+	6.15613i	−0.152950	+	0.264918i
$541$	−3.83099	+	3.21458i	−0.164707	+	0.138206i	−0.721416	−	0.692502i	$-0.756508\pi$
$541$	−3.83099	+	3.21458i	−0.164707	+	0.138206i	0.556709	+	0.830708i	$0.312064\pi$
$542$	−6.62670	+	5.56046i	−0.284641	+	0.238842i
$543$	−13.8078	+	23.9158i	−0.592550	+	1.02633i
$544$	18.0282	+	31.2258i	0.772955	+	1.33880i
$545$	−9.26972	−	3.37390i	−0.397071	−	0.144522i
$546$	−1.33846	+	7.59076i	−0.0572806	+	0.324854i
$547$	−0.426450	−	2.41852i	−0.0182337	−	0.103408i	0.974333	−	0.225113i	$-0.0722751\pi$
$547$	−0.426450	−	2.41852i	−0.0182337	−	0.103408i	−0.992566	+	0.121705i	$0.961164\pi$
$548$	8.63656	−	3.14345i	0.368936	−	0.134282i
$549$	−3.19693	−	2.68254i	−0.136442	−	0.114488i
$550$	2.75150			0.117324
$551$	17.2388	+	14.8027i	0.734400	+	0.630615i
$552$	−14.7008			−0.625706
$553$	54.0944	+	45.3906i	2.30033	+	1.93020i
$554$	−8.00339	+	2.91299i	−0.340031	+	0.123761i
$555$	0.0602299	+	0.341581i	0.00255662	+	0.0144993i
$556$	4.88463	−	27.7021i	0.207155	−	1.17483i
$557$	4.38265	+	1.59515i	0.185699	+	0.0675889i	0.433196	−	0.901300i	$-0.357386\pi$
$557$	4.38265	+	1.59515i	0.185699	+	0.0675889i	−0.247497	+	0.968889i	$0.579608\pi$
$558$	1.42333	+	2.46528i	0.0602543	+	0.104363i
$559$	−3.54786	+	6.14508i	−0.150059	+	0.259909i
$560$	5.50619	−	4.62024i	0.232679	−	0.195241i
$561$	−40.6776	+	34.1326i	−1.71741	+	1.44108i
$562$	−5.52939	+	9.57719i	−0.233243	+	0.403989i
$563$	−17.3165	−	29.9930i	−0.729803	−	1.26406i	−0.956966	−	0.290199i	$-0.906278\pi$
$563$	−17.3165	−	29.9930i	−0.729803	−	1.26406i	0.227163	−	0.973857i	$-0.427055\pi$
$564$	−4.12733	−	1.50223i	−0.173792	−	0.0632552i
$565$	−0.911229	+	5.16784i	−0.0383357	+	0.217413i
$566$	2.31118	+	13.1074i	0.0971463	+	0.550944i
$567$	40.6744	−	14.8043i	1.70816	−	0.621720i
$568$	−18.9620	−	15.9110i	−0.795628	−	0.667611i
$569$	−20.6116			−0.864081			−0.432041	−	0.901854i	$-0.642206\pi$
$569$	−20.6116			−0.864081			−0.432041	+	0.901854i	$0.642206\pi$
$570$	4.95455	+	1.86743i	0.207523	+	0.0782181i
$571$	11.1132			0.465071			0.232536	−	0.972588i	$-0.425298\pi$
$571$	11.1132			0.465071			0.232536	+	0.972588i	$0.425298\pi$
$572$	8.26853	+	6.93812i	0.345725	+	0.290097i
$573$	−43.6159	+	15.8749i	−1.82208	+	0.663183i
$574$	−0.0115812	−	0.0656803i	−0.000483390	−	0.00274144i
$575$	−0.583829	+	3.31106i	−0.0243473	+	0.138081i
$576$	−0.0455562	−	0.0165811i	−0.00189818	−	0.000690879i
$577$	14.3527	+	24.8596i	0.597510	+	1.03492i	0.993187	+	0.116528i	$0.0371765\pi$
$577$	14.3527	+	24.8596i	0.597510	+	1.03492i	−0.395677	+	0.918390i	$0.629490\pi$
$578$	7.42564	−	12.8616i	0.308866	−	0.534971i
$579$	−7.51998	+	6.31001i	−0.312520	+	0.262235i
$580$	−6.38756	+	5.35980i	−0.265229	+	0.222554i
$581$	10.5426	−	18.2603i	0.437381	−	0.757566i
$582$	1.99220	+	3.45060i	0.0825795	+	0.143032i
$583$	−6.54172	−	2.38099i	−0.270930	−	0.0986106i
$584$	−5.38713	+	30.5519i	−0.222921	+	1.26425i
$585$	0.184592	+	1.04687i	0.00763195	+	0.0432830i
$586$	−6.38114	+	2.32254i	−0.263602	+	0.0959434i
$587$	1.37306	+	1.15213i	0.0566723	+	0.0475537i	0.670684	−	0.741743i	$-0.266001\pi$
$587$	1.37306	+	1.15213i	0.0566723	+	0.0475537i	−0.614012	+	0.789297i	$0.710445\pi$
$588$	−29.8451			−1.23079
$589$	22.1370	−	18.1499i	0.912139	−	0.747852i
$590$	−6.04064			−0.248689
$591$	0.0945347	+	0.0793240i	0.00388864	+	0.00326295i
$592$	−0.298465	+	0.108632i	−0.0122668	+	0.00446476i
$593$	0.291962	+	1.65580i	0.0119894	+	0.0679955i	0.990215	−	0.139547i	$-0.0445646\pi$
$593$	0.291962	+	1.65580i	0.0119894	+	0.0679955i	−0.978226	+	0.207542i	$0.933453\pi$
$594$	−2.12329	+	12.0418i	−0.0871195	+	0.494079i
$595$	−24.4435	−	8.89671i	−1.00209	−	0.364730i
$596$	8.81407	+	15.2664i	0.361039	+	0.625337i
$597$	6.12363	−	10.6064i	0.250623	−	0.434093i
$598$	2.52913	−	2.12220i	0.103424	−	0.0867830i
$599$	−1.65586	+	1.38943i	−0.0676568	+	0.0567708i	−0.675989	−	0.736912i	$-0.736283\pi$
$599$	−1.65586	+	1.38943i	−0.0676568	+	0.0567708i	0.608332	+	0.793683i	$0.291839\pi$
$600$	−2.18623	+	3.78665i	−0.0892523	+	0.154589i
$601$	−2.21602	−	3.83826i	−0.0903934	−	0.156566i	0.817283	−	0.576236i	$-0.195479\pi$
$601$	−2.21602	−	3.83826i	−0.0903934	−	0.156566i	−0.907677	+	0.419670i	$0.862146\pi$
$602$	11.1173	+	4.04636i	0.453106	+	0.164917i
$603$	1.22228	−	6.93192i	0.0497753	−	0.282290i
$604$	0.658620	+	3.73522i	0.0267989	+	0.151984i
$605$	−7.43056	+	2.70450i	−0.302095	+	0.109954i
$606$	3.24795	+	2.72535i	0.131939	+	0.110710i
$607$	29.9817			1.21692			0.608460	−	0.793585i	$-0.291788\pi$
$607$	29.9817			1.21692			0.608460	+	0.793585i	$0.291788\pi$
$608$	−4.56668	+	24.2798i	−0.185203	+	0.984676i
$609$	40.9170			1.65804
$610$	2.95319	+	2.47802i	0.119571	+	0.100332i
$611$	2.08589	−	0.759203i	0.0843862	−	0.0307141i
$612$	−1.21043	−	6.86467i	−0.0489286	−	0.277488i
$613$	3.44456	−	19.5351i	0.139124	−	0.789013i	−0.832774	−	0.553613i	$-0.813249\pi$
$613$	3.44456	−	19.5351i	0.139124	−	0.789013i	0.971898	−	0.235400i	$-0.0756402\pi$
$614$	−1.61096	−	0.586341i	−0.0650130	−	0.0236628i
$615$	−0.0247405	−	0.0428517i	−0.000997631	−	0.00172795i
$616$	20.2490	−	35.0724i	0.815857	−	1.41311i
$617$	16.1011	−	13.5104i	0.648206	−	0.543909i	−0.258320	−	0.966059i	$-0.583169\pi$
$617$	16.1011	−	13.5104i	0.648206	−	0.543909i	0.906526	+	0.422150i	$0.138725\pi$
$618$	−8.03173	+	6.73942i	−0.323083	+	0.271099i
$619$	−10.1316	+	17.5484i	−0.407223	+	0.705331i	−0.994577	−	0.103999i	$-0.966836\pi$
$619$	−10.1316	+	17.5484i	−0.407223	+	0.705331i	0.587354	+	0.809330i	$0.300169\pi$
$620$	5.25251	+	9.09761i	0.210946	+	0.365369i
$621$	−14.0401	−	5.11018i	−0.563410	−	0.205064i
$622$	0.797413	−	4.52235i	0.0319733	−	0.181330i
$623$	−0.360573	−	2.04491i	−0.0144460	−	0.0819275i
$624$	−4.92084	+	1.79104i	−0.196991	+	0.0716990i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	5.49193			0.219501
$627$	−36.3818	−	0.414065i	−1.45295	−	0.0165362i
$628$	5.16890			0.206261
$629$	0.880527	+	0.738850i	0.0351089	+	0.0294599i
$630$	1.66550	−	0.606192i	0.0663551	−	0.0241513i
$631$	6.98027	+	39.5871i	0.277880	+	1.57594i	0.729661	+	0.683809i	$0.239678\pi$
$631$	6.98027	+	39.5871i	0.277880	+	1.57594i	−0.451781	+	0.892129i	$0.649211\pi$
$632$	6.83066	−	38.7386i	0.271709	−	1.54094i
$633$	10.6642	+	3.88145i	0.423863	+	0.154274i
$634$	−10.1015	−	17.4964i	−0.401183	−	0.694870i
$635$	−2.66427	+	4.61465i	−0.105728	+	0.183127i
$636$	3.76592	−	3.15998i	0.149329	−	0.125302i
$637$	11.5544	−	9.69532i	0.457803	−	0.384143i
$638$	−7.17154	+	12.4215i	−0.283924	+	0.491771i
$639$	3.72210	+	6.44686i	0.147244	+	0.255034i
$640$	−10.6100	−	3.86171i	−0.419396	−	0.152648i
$641$	0.606201	−	3.43794i	0.0239435	−	0.135790i	−0.970493	−	0.241130i	$-0.922482\pi$
$641$	0.606201	−	3.43794i	0.0239435	−	0.135790i	0.994436	+	0.105340i	$0.0335930\pi$
$642$	−1.32352	−	7.50606i	−0.0522352	−	0.296241i
$643$	−34.0072	+	12.3776i	−1.34111	+	0.488125i	−0.910162	−	0.414252i	$-0.864043\pi$
$643$	−34.0072	+	12.3776i	−1.34111	+	0.488125i	−0.430949	+	0.902376i	$0.641821\pi$
$644$	16.8457	+	14.1352i	0.663814	+	0.557006i
$645$	8.77741			0.345610
$646$	16.5557	−	5.81330i	0.651377	−	0.228721i
$647$	−21.1005			−0.829545			−0.414772	−	0.909925i	$-0.636139\pi$
$647$	−21.1005			−0.829545			−0.414772	+	0.909925i	$0.636139\pi$
$648$	−18.4707	−	15.4987i	−0.725597	−	0.608848i
$649$	39.0061	−	14.1971i	1.53112	−	0.557283i
$650$	−0.170519	−	0.967062i	−0.00668831	−	0.0379313i
$651$	8.95137	−	50.7657i	0.350832	−	1.98967i
$652$	9.89317	+	3.60082i	0.387446	+	0.141019i
$653$	8.38024	+	14.5150i	0.327944	+	0.568016i	0.982104	−	0.188341i	$-0.0603110\pi$
$653$	8.38024	+	14.5150i	0.327944	+	0.568016i	−0.654160	+	0.756356i	$0.726978\pi$
$654$	5.99132	−	10.3773i	0.234279	−	0.405784i
$655$	−1.31194	+	1.10085i	−0.0512617	+	0.0430137i
$656$	0.0347102	−	0.0291253i	0.00135521	−	0.00113715i
$657$	4.66493	−	8.07989i	0.181996	−	0.315227i
$658$	−1.85051	−	3.20518i	−0.0721404	−	0.124951i
$659$	−34.8179	−	12.6727i	−1.35631	−	0.493658i	−0.441401	−	0.897310i	$-0.645518\pi$
$659$	−34.8179	−	12.6727i	−1.35631	−	0.493658i	−0.914913	+	0.403652i	$0.867741\pi$
$660$	2.31854	−	13.1491i	0.0902489	−	0.511827i
$661$	3.76649	+	21.3608i	0.146500	+	0.830841i	0.966151	+	0.257978i	$0.0830561\pi$
$661$	3.76649	+	21.3608i	0.146500	+	0.830841i	−0.819651	+	0.572863i	$0.805833\pi$
$662$	14.4492	−	5.25908i	0.561584	−	0.204400i
$663$	14.5174	+	12.1815i	0.563809	+	0.473092i
$664$	−11.7455			−0.455814
$665$	−8.73543	−	15.5359i	−0.338745	−	0.602455i
$666$	−0.0783194			−0.00303482
$667$	−13.4259	−	11.2656i	−0.519851	−	0.436207i
$668$	23.8284	−	8.67282i	0.921948	−	0.335561i
$669$	−9.77178	−	55.4185i	−0.377799	−	2.14260i
$670$	−1.12910	+	6.40343i	−0.0436209	+	0.247386i
$671$	−24.8936	−	9.06052i	−0.961006	−	0.349777i
$672$	22.2443	+	38.5282i	0.858092	+	1.48626i
$673$	2.69790	−	4.67290i	0.103996	−	0.180127i	−0.809331	−	0.587352i	$-0.800170\pi$
$673$	2.69790	−	4.67290i	0.103996	−	0.180127i	0.913328	+	0.407225i	$0.133504\pi$
$674$	−13.7599	+	11.5459i	−0.530011	+	0.444732i
$675$	−3.40426	+	2.85652i	−0.131030	+	0.109947i
$676$	−8.47123	+	14.6726i	−0.325817	+	0.564331i
$677$	15.4611	+	26.7794i	0.594217	+	1.02921i	0.993657	+	0.112455i	$0.0358713\pi$
$677$	15.4611	+	26.7794i	0.594217	+	1.02921i	−0.399440	+	0.916759i	$0.630795\pi$
$678$	−5.98984	−	2.18012i	−0.230039	−	0.0837272i
$679$	2.32902	−	13.2086i	0.0893798	−	0.506898i
$680$	2.51618	+	14.2700i	0.0964912	+	0.547229i
$681$	−14.4346	+	5.25376i	−0.553135	+	0.201325i
$682$	13.8424	+	11.6152i	0.530053	+	0.444767i
$683$	−21.3136			−0.815542			−0.407771	−	0.913084i	$-0.633694\pi$
$683$	−21.3136			−0.815542			−0.407771	+	0.913084i	$0.633694\pi$
$684$	2.43500	−	4.10883i	0.0931045	−	0.157105i
$685$	5.74575			0.219534
$686$	−5.39029	−	4.52299i	−0.205802	−	0.172689i
$687$	−50.9943	+	18.5604i	−1.94555	+	0.708123i
$688$	1.39573	+	7.91560i	0.0532118	+	0.301779i
$689$	−0.431429	+	2.44676i	−0.0164362	+	0.0932141i
$690$	−3.83772	−	1.39682i	−0.146099	−	0.0531758i
$691$	3.81597	+	6.60946i	0.145166	+	0.251436i	0.929435	−	0.368986i	$-0.120295\pi$
$691$	3.81597	+	6.60946i	0.145166	+	0.251436i	−0.784269	+	0.620421i	$0.786962\pi$
$692$	−1.52056	+	2.63368i	−0.0578029	+	0.100118i
$693$	−9.32988	+	7.82870i	−0.354413	+	0.297388i
$694$	15.0760	−	12.6503i	0.572279	−	0.480199i
$695$	8.79272	−	15.2294i	0.333527	−	0.577686i
$696$	−11.3964	−	19.7392i	−0.431980	−	0.748211i
$697$	−0.154089	−	0.0560837i	−0.00583652	−	0.00212432i
$698$	−1.92070	+	10.8928i	−0.0726995	+	0.412299i
$699$	−2.28380	−	12.9521i	−0.0863812	−	0.489892i
$700$	6.14619	−	2.23703i	0.232304	−	0.0845518i
$701$	12.1942	+	10.2321i	0.460568	+	0.386463i	0.843340	−	0.537380i	$-0.180586\pi$
$701$	12.1942	+	10.2321i	0.460568	+	0.386463i	−0.382772	+	0.923843i	$0.625030\pi$
$702$	4.36387			0.164704
$703$	0.127928	+	0.777130i	0.00482488	+	0.0293100i
$704$	−0.307740			−0.0115984
$705$	−2.10344	−	1.76499i	−0.0792200	−	0.0664735i
$706$	−5.24776	+	1.91003i	−0.197502	+	0.0718848i
$707$	−2.47837	−	14.0555i	−0.0932085	−	0.528612i
$708$	−5.09012	+	28.8675i	−0.191298	+	1.08491i
$709$	37.3356	+	13.5890i	1.40217	+	0.510347i	0.928821	−	0.370530i	$-0.120824\pi$
$709$	37.3356	+	13.5890i	1.40217	+	0.510347i	0.473346	+	0.880877i	$0.343046\pi$
$710$	−3.43833	−	5.95536i	−0.129038	−	0.223501i
$711$	−5.91494	+	10.2450i	−0.221827	+	0.384216i
$712$	−0.886075	+	0.743505i	−0.0332071	+	0.0278640i
$713$	−16.9144	+	14.1929i	−0.633450	+	0.531528i
$714$	15.7987	−	27.3641i	0.591250	−	1.02407i
$715$	3.37393	+	5.84382i	0.126178	+	0.218546i
$716$	−21.4651	−	7.81265i	−0.802187	−	0.291972i
$717$	−4.46460	+	25.3200i	−0.166734	+	0.945593i
$718$	−2.18903	−	12.4146i	−0.0816938	−	0.463308i
$719$	7.66940	−	2.79143i	0.286020	−	0.104103i	−0.195026	−	0.980798i	$-0.562479\pi$
$719$	7.66940	−	2.79143i	0.286020	−	0.104103i	0.481046	+	0.876695i	$0.340257\pi$
$720$	0.922428	+	0.774009i	0.0343769	+	0.0288456i
$721$	35.2935			1.31440
$722$	11.2012	+	4.36811i	0.416867	+	0.162564i
$723$	−49.2465			−1.83150
$724$	−17.6278	−	14.7915i	−0.655132	−	0.549721i
$725$	−4.89845	+	1.78289i	−0.181924	+	0.0662149i
$726$	−1.66793	−	9.45931i	−0.0619028	−	0.351068i
$727$	−0.272620	+	1.54611i	−0.0101109	+	0.0573419i	−0.989446	−	0.144904i	$-0.953713\pi$
$727$	−0.272620	+	1.54611i	−0.0101109	+	0.0573419i	0.979335	+	0.202246i	$0.0648239\pi$
$728$	−13.5817	−	4.94333i	−0.503370	−	0.183212i
$729$	−9.17050	−	15.8838i	−0.339648	−	0.588288i
$730$	−4.30928	+	7.46389i	−0.159493	+	0.276251i
$731$	22.2827	−	18.6974i	0.824154	−	0.691548i
$732$	14.3307	−	12.0249i	0.529677	−	0.444452i
$733$	−2.20731	+	3.82317i	−0.0815288	+	0.141212i	−0.903907	−	0.427729i	$-0.859314\pi$
$733$	−2.20731	+	3.82317i	−0.0815288	+	0.141212i	0.822378	+	0.568941i	$0.192647\pi$
$734$	2.67552	+	4.63414i	0.0987553	+	0.171049i
$735$	−17.5327	−	6.38140i	−0.646705	−	0.235381i
$736$	3.30905	−	18.7665i	0.121973	−	0.691744i
$737$	−7.75881	−	44.0024i	−0.285799	−	1.62085i
$738$	0.0104991	−	0.00382135i	0.000386476	−	0.000140666i
$739$	−7.78848	−	6.53531i	−0.286504	−	0.240405i	0.488197	−	0.872734i	$-0.337655\pi$
$739$	−7.78848	−	6.53531i	−0.286504	−	0.240405i	−0.774700	+	0.632328i	$0.782099\pi$
$740$	−0.289022			−0.0106247
$741$	2.10916	+	12.8127i	0.0774821	+	0.470685i
$742$	4.14243			0.152073
$743$	5.39641	+	4.52813i	0.197975	+	0.166121i	0.736386	−	0.676562i	$-0.236531\pi$
$743$	5.39641	+	4.52813i	0.197975	+	0.166121i	−0.538411	+	0.842682i	$0.680975\pi$
$744$	−26.9835	+	9.82121i	−0.989265	+	0.360063i
$745$	1.91368	+	10.8530i	0.0701117	+	0.397623i
$746$	0.784320	−	4.44810i	0.0287160	−	0.162857i
$747$	3.31929	+	1.20812i	0.121447	+	0.0442029i
$748$	−22.1239	−	38.3196i	−0.808928	−	1.40110i
$749$	−12.8283	+	22.2193i	−0.468737	+	0.811877i
$750$	−0.930521	+	0.780800i	−0.0339778	+	0.0285108i
$751$	19.7520	−	16.5739i	0.720760	−	0.604789i	−0.206835	−	0.978376i	$-0.566316\pi$
$751$	19.7520	−	16.5739i	0.720760	−	0.604789i	0.927595	+	0.373586i	$0.121872\pi$
$752$	1.25722	−	2.17757i	0.0458461	−	0.0794078i
$753$	8.75402	+	15.1624i	0.319014	+	0.552549i
$754$	4.81018	+	1.75076i	0.175176	+	0.0637590i
$755$	−0.411744	+	2.33511i	−0.0149849	+	0.0849835i
$756$	5.04731	+	28.6247i	0.183569	+	1.04107i
$757$	−18.0947	+	6.58595i	−0.657665	+	0.239370i	−0.649228	−	0.760594i	$-0.724908\pi$
$757$	−18.0947	+	6.58595i	−0.657665	+	0.239370i	−0.00843696	+	0.999964i	$0.502686\pi$
$758$	−2.96348	−	2.48666i	−0.107639	−	0.0903195i
$759$	28.0641			1.01866
$760$	−5.06177	+	8.54126i	−0.183610	+	0.309824i
$761$	30.9500			1.12194			0.560969	−	0.827837i	$-0.310429\pi$
$761$	30.9500			1.12194			0.560969	+	0.827837i	$0.310429\pi$
$762$	−4.95831	−	4.16052i	−0.179621	−	0.150720i
$763$	−37.9034	+	13.7957i	−1.37220	+	0.499439i
$764$	−6.71612	−	38.0890i	−0.242981	−	1.37801i
$765$	0.756711	−	4.29152i	0.0273589	−	0.155160i
$766$	0.311458	+	0.113361i	0.0112534	+	0.00409592i
$767$	−7.40713	−	12.8295i	−0.267456	−	0.463247i
$768$	6.99343	−	12.1130i	0.252354	−	0.437090i
$769$	−22.7690	+	19.1055i	−0.821071	+	0.688960i	−0.953223	−	0.302269i	$-0.902256\pi$
$769$	−22.7690	+	19.1055i	−0.821071	+	0.688960i	0.132152	+	0.991230i	$0.457811\pi$
$770$	8.61857	−	7.23184i	0.310592	−	0.260617i
$771$	23.7522	−	41.1400i	0.855414	−	1.48162i
$772$	−4.08999	−	7.08407i	−0.147202	−	0.254961i
$773$	11.6190	+	4.22899i	0.417908	+	0.152106i	0.542411	−	0.840113i	$-0.317512\pi$
$773$	11.6190	+	4.22899i	0.417908	+	0.152106i	−0.124503	+	0.992219i	$0.539734\pi$
$774$	−0.344163	+	1.95185i	−0.0123707	+	0.0701577i
$775$	1.14040	+	6.46755i	0.0409645	+	0.232321i
$776$	−7.02075	+	2.55534i	−0.252030	+	0.0917315i
$777$	1.08645	+	0.911636i	0.0389760	+	0.0327048i
$778$	1.57965			0.0566333
$779$	−0.0550669	−	0.0979360i	−0.00197298	−	0.00350892i
$780$	−4.76516			−0.170620
$781$	36.1988	+	30.3744i	1.29530	+	1.08688i
$782$	−12.7180	+	4.62899i	−0.454796	+	0.165532i
$783$	−4.02265	−	22.8136i	−0.143758	−	0.815291i
$784$	2.96688	−	16.8260i	0.105960	−	0.600929i
$785$	3.03651	+	1.10520i	0.108378	+	0.0394463i
$786$	−1.04016	−	1.80162i	−0.0371014	−	0.0642616i
$787$	−21.9353	+	37.9930i	−0.781909	+	1.35431i	0.148920	+	0.988849i	$0.452420\pi$
$787$	−21.9353	+	37.9930i	−0.781909	+	1.35431i	−0.930829	+	0.365456i	$0.880913\pi$
$788$	−0.0787736	+	0.0660989i	−0.00280619	+	0.00235468i
$789$	−21.5161	+	18.0541i	−0.765993	+	0.642744i
$790$	5.46398	−	9.46390i	0.194400	−	0.336710i
$791$	10.7285	+	18.5823i	0.381462	+	0.660712i
$792$	6.37532	+	2.32043i	0.226537	+	0.0824527i
$793$	−1.64174	+	9.31078i	−0.0583000	+	0.330636i
$794$	0.317309	+	1.79955i	0.0112609	+	0.0638636i
$795$	2.88798	−	1.05114i	0.102426	−	0.0372801i
$796$	7.81776	+	6.55988i	0.277093	+	0.232509i
$797$	−5.08657			−0.180176			−0.0900879	−	0.995934i	$-0.528715\pi$
$797$	−5.08657			−0.180176			−0.0900879	+	0.995934i	$0.528715\pi$
$798$	20.4274	−	7.17278i	0.723123	−	0.253914i
$799$	−9.09960			−0.321921
$800$	−4.34182	−	3.64322i	−0.153506	−	0.128807i
$801$	0.326881	−	0.118975i	0.0115498	−	0.00420378i
$802$	1.89479	+	10.7459i	0.0669073	+	0.379450i
$803$	10.2841	−	58.3242i	0.362919	−	2.05822i
$804$	29.6498	+	10.7916i	1.04567	+	0.380592i
$805$	6.87380	+	11.9058i	0.242270	+	0.419624i
$806$	3.22449	−	5.58498i	0.113578	−	0.196722i
$807$	25.2983	−	21.2278i	0.890542	−	0.747254i
$808$	−6.09036	+	5.11042i	−0.214258	+	0.179784i
$809$	−15.1064	+	26.1650i	−0.531112	+	0.919914i	0.468228	+	0.883608i	$0.344892\pi$
$809$	−15.1064	+	26.1650i	−0.531112	+	0.919914i	−0.999341	+	0.0363062i	$0.988441\pi$
$810$	−3.34924	−	5.80105i	−0.117680	−	0.203828i
$811$	−3.43739	−	1.25111i	−0.120703	−	0.0439323i	0.280963	−	0.959719i	$-0.409346\pi$
$811$	−3.43739	−	1.25111i	−0.120703	−	0.0439323i	−0.401666	+	0.915786i	$0.631569\pi$
$812$	−5.92057	+	33.5772i	−0.207771	+	1.17833i
$813$	4.55700	+	25.8441i	0.159821	+	0.906391i
$814$	−0.467173	+	0.170037i	−0.0163744	+	0.00595980i
$815$	5.04191	+	4.23067i	0.176610	+	0.148194i
$816$	21.4669			0.751493
$817$	19.9295	+	0.226820i	0.697244	+	0.00793541i
$818$	16.5221			0.577682
$819$	3.32973	+	2.79398i	0.116350	+	0.0976295i
$820$	0.0387447	−	0.0141019i	0.00135303	−	0.000492461i
$821$	−3.37413	−	19.1357i	−0.117758	−	0.667839i	−0.985348	−	0.170558i	$-0.945443\pi$
$821$	−3.37413	−	19.1357i	−0.117758	−	0.667839i	0.867589	−	0.497281i	$-0.165668\pi$
$822$	−1.21196	+	6.87338i	−0.0422720	+	0.239737i
$823$	4.92429	+	1.79230i	0.171650	+	0.0624755i	0.426416	−	0.904527i	$-0.359776\pi$
$823$	4.92429	+	1.79230i	0.171650	+	0.0624755i	−0.254766	+	0.967003i	$0.581998\pi$
$824$	−9.83012	−	17.0263i	−0.342448	−	0.593138i
$825$	4.17355	−	7.22880i	0.145304	−	0.251674i
$826$	−18.9212	+	15.8768i	−0.658353	+	0.552424i
$827$	43.8018	−	36.7541i	1.52314	−	1.27806i	0.692187	−	0.721718i	$-0.256647\pi$
$827$	43.8018	−	36.7541i	1.52314	−	1.27806i	0.830950	−	0.556346i	$-0.187797\pi$
$828$	−1.84199	+	3.19042i	−0.0640136	+	0.110875i
$829$	7.34286	+	12.7182i	0.255028	+	0.441722i	0.964903	−	0.262606i	$-0.0845819\pi$
$829$	7.34286	+	12.7182i	0.255028	+	0.441722i	−0.709875	+	0.704328i	$0.751249\pi$
$830$	−3.06623	−	1.11602i	−0.106430	−	0.0387375i
$831$	−4.48667	+	25.4452i	−0.155641	+	0.882683i
$832$	0.0190716	+	0.108161i	0.000661190	+	0.00374979i
$833$	−58.1028	+	21.1477i	−2.01314	+	0.732724i
$834$	16.3636	+	13.7307i	0.566626	+	0.475456i
$835$	15.8526			0.548602
$836$	5.60413	−	29.7956i	0.193823	−	1.03050i
$837$	−29.1848			−1.00878
$838$	0.0546310	+	0.0458408i	0.00188720	+	0.00158354i
$839$	−19.6431	+	7.14950i	−0.678155	+	0.246828i	−0.658055	−	0.752970i	$-0.728621\pi$
$839$	−19.6431	+	7.14950i	−0.678155	+	0.246828i	−0.0200999	+	0.999798i	$0.506398\pi$
$840$	3.10461	+	17.6071i	0.107119	+	0.607503i
$841$	−0.317165	+	1.79873i	−0.0109367	+	0.0620252i
$842$	12.0226	+	4.37586i	0.414326	+	0.150802i
$843$	16.7743	+	29.0539i	0.577736	+	1.00067i
$844$	−4.72826	+	8.18959i	−0.162753	+	0.281897i
$845$	−8.11376	+	6.80825i	−0.279122	+	0.234211i
$846$	0.474960	−	0.398539i	0.0163295	−	0.0137020i
$847$	−16.1666	+	28.0013i	−0.555490	+	0.962137i
$848$	1.40716	+	2.43728i	0.0483222	+	0.0836965i
$849$	37.9416	+	13.8096i	1.30215	+	0.473945i
$850$	−0.699019	+	3.96434i	−0.0239762	+	0.135976i
$851$	−0.105489	−	0.598259i	−0.00361612	−	0.0205081i
$852$	−31.3572	+	11.4131i	−1.07428	+	0.391006i
$853$	16.4723	+	13.8219i	0.564000	+	0.473253i	0.879649	−	0.475624i	$-0.157778\pi$
$853$	16.4723	+	13.8219i	0.564000	+	0.473253i	−0.315648	+	0.948876i	$0.602222\pi$
$854$	15.7634			0.539413
$855$	2.30900	−	1.89312i	0.0789662	−	0.0647435i
$856$	14.2920			0.488492
$857$	−38.9182	−	32.6562i	−1.32942	−	1.11552i	−0.984213	−	0.176990i	$-0.943364\pi$
$857$	−38.9182	−	32.6562i	−1.32942	−	1.11552i	−0.345208	−	0.938526i	$-0.612192\pi$
$858$	−7.70236	+	2.80343i	−0.262954	+	0.0957075i
$859$	−1.25062	−	7.09262i	−0.0426706	−	0.241997i	0.956011	−	0.293331i	$-0.0947638\pi$
$859$	−1.25062	−	7.09262i	−0.0426706	−	0.241997i	−0.998682	+	0.0513340i	$0.983653\pi$
$860$	−1.27007	+	7.20290i	−0.0433089	+	0.245617i
$861$	−0.190123	−	0.0691992i	−0.00647939	−	0.00235830i
$862$	−12.8285	−	22.2195i	−0.436939	−	0.756801i
$863$	−9.02344	+	15.6291i	−0.307161	+	0.532019i	−0.977740	−	0.209819i	$-0.932712\pi$
$863$	−9.02344	+	15.6291i	−0.307161	+	0.532019i	0.670579	+	0.741838i	$0.266046\pi$
$864$	19.2948	−	16.1903i	0.656423	−	0.550804i
$865$	−1.45639	+	1.22206i	−0.0495189	+	0.0415512i
$866$	−7.20529	+	12.4799i	−0.244846	+	0.424085i
$867$	−22.5268	−	39.0176i	−0.765051	−	1.32511i
$868$	40.3640	+	14.6913i	1.37004	+	0.498655i
$869$	−13.0399	+	73.9527i	−0.442347	+	2.50867i
$870$	−1.09955	−	6.23586i	−0.0372783	−	0.211416i
$871$	−14.9846	+	5.45393i	−0.507732	+	0.184799i
$872$	17.2124	+	14.4429i	0.582884	+	0.489098i
$873$	2.24691			0.0760464
$874$	−8.67761	−	3.27070i	−0.293524	−	0.110633i
$875$	4.08895			0.138232
$876$	32.0378	+	26.8829i	1.08246	+	0.908289i
$877$	22.3078	−	8.11936i	0.753280	−	0.274171i	0.0632945	−	0.997995i	$-0.479839\pi$
$877$	22.3078	−	8.11936i	0.753280	−	0.274171i	0.689985	+	0.723824i	$0.257617\pi$
$878$	3.59008	+	20.3604i	0.121159	+	0.687129i
$879$	−3.57724	+	20.2876i	−0.120657	+	0.684282i
$880$	7.18269	+	2.61429i	0.242128	+	0.0881275i
$881$	−16.7038	−	28.9318i	−0.562765	−	0.974737i	−0.997254	−	0.0740599i	$-0.976404\pi$
$881$	−16.7038	−	28.9318i	−0.562765	−	0.974737i	0.434489	−	0.900677i	$-0.356929\pi$
$882$	2.10650	−	3.64857i	0.0709296	−	0.122854i
$883$	32.5424	−	27.3063i	1.09514	−	0.918931i	0.0980503	−	0.995181i	$-0.468739\pi$
$883$	32.5424	−	27.3063i	1.09514	−	0.918931i	0.997089	+	0.0762507i	$0.0242949\pi$
$884$	−12.0970	+	10.1506i	−0.406866	+	0.341401i
$885$	−9.16261	+	15.8701i	−0.307998	+	0.533468i
$886$	−4.38998	−	7.60367i	−0.147484	−	0.255450i
$887$	8.82015	+	3.21027i	0.296152	+	0.107790i	0.485823	−	0.874057i	$-0.338520\pi$
$887$	8.82015	+	3.21027i	0.296152	+	0.107790i	−0.189671	+	0.981848i	$0.560742\pi$
$888$	0.137189	−	0.778035i	0.00460375	−	0.0261092i
$889$	3.78347	+	21.4571i	0.126893	+	0.719648i
$890$	−0.301960	+	0.109904i	−0.0101217	+	0.00368401i
$891$	35.2609	+	29.5874i	1.18128	+	0.991215i
$892$	46.8914			1.57004
$893$	−4.73033	−	4.06185i	−0.158295	−	0.135924i
$894$	−13.3866			−0.447715
$895$	−10.9394	−	9.17922i	−0.365663	−	0.306827i
$896$	−43.3837	+	15.7904i	−1.44935	+	0.527519i
$897$	−1.73922	−	9.86360i	−0.0580708	−	0.329336i
$898$	0.660111	−	3.74368i	0.0220282	−	0.124928i
$899$	−32.1697	−	11.7088i	−1.07292	−	0.390511i
$900$	0.547863	+	0.948927i	0.0182621	+	0.0316309i
$901$	5.09244	−	8.82036i	0.169654	−	0.293849i
$902$	0.0543303	−	0.0455885i	0.00180900	−	0.00151793i
$903$	27.4936	−	23.0699i	0.914931	−	0.767719i
$904$	5.97631	−	10.3513i	0.198769	−	0.344278i
$905$	−7.19293	−	12.4585i	−0.239101	−	0.414135i
$906$	−2.70654	−	0.985100i	−0.0899188	−	0.0327278i
$907$	−1.34450	+	7.62501i	−0.0446432	+	0.253184i	−0.998959	−	0.0456153i	$-0.985475\pi$
$907$	−1.34450	+	7.62501i	−0.0446432	+	0.253184i	0.954316	+	0.298800i	$0.0965863\pi$
$908$	−2.22269	−	12.6055i	−0.0737625	−	0.418328i
$909$	2.24679	−	0.817765i	0.0745214	−	0.0271236i
$910$	−3.07587	−	2.58097i	−0.101964	−	0.0855582i
$911$	−31.8865			−1.05645			−0.528223	−	0.849106i	$-0.677142\pi$
$911$	−31.8865			−1.05645			−0.528223	+	0.849106i	$0.677142\pi$
$912$	11.1594	+	9.58233i	0.369523	+	0.317303i
$913$	22.4224			0.742073
$914$	11.6216	+	9.75172i	0.384410	+	0.322558i
$915$	10.9898	−	3.99996i	0.363312	−	0.132235i
$916$	−7.85227	−	44.5324i	−0.259446	−	1.47139i
$917$	−1.21602	+	6.89642i	−0.0401567	+	0.227740i
$918$	−16.8102	−	6.11843i	−0.554821	−	0.201938i
$919$	9.68427	+	16.7736i	0.319455	+	0.553311i	0.980374	−	0.197145i	$-0.0631670\pi$
$919$	9.68427	+	16.7736i	0.319455	+	0.553311i	−0.660920	+	0.750457i	$0.729834\pi$
$920$	3.82905	−	6.63211i	0.126240	−	0.218654i
$921$	−3.98399	+	3.34297i	−0.131277	+	0.110154i
$922$	17.4922	−	14.6777i	0.576075	−	0.483384i
$923$	8.43225	−	14.6051i	0.277551	−	0.480733i
$924$	−27.2977	−	47.2810i	−0.898028	−	1.55543i
$925$	−0.169789	−	0.0617980i	−0.00558262	−	0.00203191i
$926$	−0.773873	+	4.38885i	−0.0254311	+	0.144227i
$927$	1.02671	+	5.82275i	0.0337215	+	0.191244i
$928$	27.7636	−	10.1051i	0.911386	−	0.331717i
$929$	18.6717	+	15.6674i	0.612600	+	0.514032i	0.895468	−	0.445127i	$-0.146841\pi$
$929$	18.6717	+	15.6674i	0.612600	+	0.514032i	−0.282868	+	0.959159i	$0.591286\pi$
$930$	−7.97738			−0.261589
$931$	−39.6439	−	14.9423i	−1.29928	−	0.489714i
$932$	10.9592			0.358979
$933$	−10.6717	−	8.95460i	−0.349375	−	0.293161i
$934$	23.6243	−	8.59853i	0.773009	−	0.281352i
$935$	−4.80344	−	27.2417i	−0.157089	−	0.890898i
$936$	0.420455	−	2.38452i	0.0137430	−	0.0779404i
$937$	−17.5551	−	6.38953i	−0.573499	−	0.208737i	0.0389573	−	0.999241i	$-0.487596\pi$
$937$	−17.5551	−	6.38953i	−0.573499	−	0.208737i	−0.612457	+	0.790504i	$0.709819\pi$
$938$	13.2936	+	23.0252i	0.434052	+	0.751801i
$939$	8.33030	−	14.4285i	0.271849	−	0.470856i
$940$	1.75274	−	1.47073i	0.0571682	−	0.0479698i
$941$	−17.9348	+	15.0491i	−0.584659	+	0.490587i	−0.886473	−	0.462779i	$-0.846852\pi$
$941$	−17.9348	+	15.0491i	−0.584659	+	0.490587i	0.301814	+	0.953367i	$0.402408\pi$
$942$	−1.96260	+	3.39932i	−0.0639449	+	0.110756i
$943$	0.0433315	+	0.0750524i	0.00141107	+	0.00244404i
$944$	−15.7689	−	5.73940i	−0.513233	−	0.186802i
$945$	−3.15538	+	17.8950i	−0.102644	+	0.582126i
$946$	2.18468	+	12.3899i	0.0710299	+	0.402831i
$947$	−37.3038	+	13.5775i	−1.21221	+	0.441208i	−0.867470	−	0.497490i	$-0.834255\pi$
$947$	−37.3038	+	13.5775i	−1.21221	+	0.441208i	−0.344740	+	0.938698i	$0.612033\pi$
$948$	−40.6226	−	34.0864i	−1.31936	−	1.10708i
$949$	−21.1364			−0.686117
$950$	−2.13296	+	1.74879i	−0.0692025	+	0.0567383i
$951$	−61.2892			−1.98744
$952$	45.3877	+	38.0848i	1.47102	+	1.23433i
$953$	46.8875	−	17.0657i	1.51884	−	0.552811i	0.557978	−	0.829856i	$-0.311577\pi$
$953$	46.8875	−	17.0657i	1.51884	−	0.552811i	0.960857	+	0.277045i	$0.0893550\pi$
$954$	0.120506	+	0.683421i	0.00390151	+	0.0221266i
$955$	4.19866	−	23.8118i	0.135865	−	0.770531i
$956$	−20.1320	−	7.32746i	−0.651116	−	0.236987i
$957$	21.7560	+	37.6824i	0.703271	+	1.21810i
$958$	−11.4860	+	19.8944i	−0.371097	+	0.642758i
$959$	17.9975	−	15.1017i	0.581170	−	0.487660i
$960$	0.104074	−	0.0873282i	0.00335896	−	0.00281851i
$961$	−6.06485	+	10.5046i	−0.195640	+	0.338859i
$962$	0.0887147	+	0.153658i	0.00286028	+	0.00495414i
$963$	−4.03895	−	1.47006i	−0.130153	−	0.0473719i
$964$	7.12582	−	40.4125i	0.229507	−	1.30160i
$965$	−0.888002	−	5.03611i	−0.0285858	−	0.162118i
$966$	−15.6922	+	5.71151i	−0.504890	+	0.183765i
$967$	−41.2501	−	34.6130i	−1.32651	−	1.11308i	−0.984879	−	0.173246i	$-0.944575\pi$
$967$	−41.2501	−	34.6130i	−1.32651	−	1.11308i	−0.341636	−	0.939832i	$-0.610981\pi$
$968$	18.0112			0.578901
$969$	9.83939	−	52.3134i	0.316087	−	1.68055i
$970$	−2.07561			−0.0666437
$971$	−18.3652	−	15.4102i	−0.589367	−	0.494537i	0.298641	−	0.954365i	$-0.403467\pi$
$971$	−18.3652	−	15.4102i	−0.589367	−	0.494537i	−0.888008	+	0.459828i	$0.847911\pi$
$972$	−10.5053	+	3.82363i	−0.336959	+	0.122643i
$973$	−12.4864	−	70.8136i	−0.400294	−	2.27018i
$974$	0.278553	−	1.57975i	0.00892542	−	0.0506186i
$975$	−2.79933	−	1.01887i	−0.0896504	−	0.0326301i
$976$	5.35476	+	9.27472i	0.171402	+	0.296876i
$977$	26.3233	−	45.5933i	0.842157	−	1.45866i	−0.0459104	−	0.998946i	$-0.514619\pi$
$977$	26.3233	−	45.5933i	0.842157	−	1.45866i	0.888067	−	0.459713i	$-0.152048\pi$
$978$	−6.12445	+	5.13903i	−0.195838	+	0.164328i
$979$	1.69153	−	1.41937i	0.0540617	−	0.0453631i
$980$	7.77362	−	13.4643i	0.248319	−	0.430102i
$981$	−3.37866	−	5.85201i	−0.107872	−	0.186840i
$982$	−21.5932	−	7.85927i	−0.689065	−	0.250799i
$983$	−7.12467	+	40.4060i	−0.227242	+	1.28875i	0.631112	+	0.775692i	$0.282599\pi$
$983$	−7.12467	+	40.4060i	−0.227242	+	1.28875i	−0.858353	+	0.513059i	$0.828512\pi$
$984$	0.0195710	+	0.110993i	0.000623902	+	0.00353832i
$985$	−0.0604093	+	0.0219872i	−0.00192480	+	0.000700570i
$986$	−16.0748	−	13.4884i	−0.511926	−	0.429557i
$987$	−11.2276			−0.357379
$988$	−10.8195	−	0.123138i	−0.344214	−	0.00391753i
$989$	−15.3731			−0.488837
$990$	1.44383	+	1.21152i	0.0458880	+	0.0385046i
$991$	−26.7308	+	9.72922i	−0.849133	+	0.309059i	−0.729687	−	0.683782i	$-0.760334\pi$
$991$	−26.7308	+	9.72922i	−0.849133	+	0.309059i	−0.119446	+	0.992841i	$0.538112\pi$
$992$	−6.46362	−	36.6570i	−0.205220	−	1.16386i
$993$	8.10017	−	45.9383i	0.257051	−	1.45781i
$994$	−26.4226	−	9.61703i	−0.838073	−	0.305034i
$995$	3.18999	+	5.52523i	0.101130	+	0.175162i
$996$	−7.91705	+	13.7127i	−0.250861	+	0.434504i
$997$	−26.9547	+	22.6177i	−0.853664	+	0.716309i	−0.960593	−	0.277957i	$-0.910343\pi$
$997$	−26.9547	+	22.6177i	−0.853664	+	0.716309i	0.106929	+	0.994267i	$0.465898\pi$
$998$	8.68620	−	7.28859i	0.274957	−	0.230716i
$999$	0.401478	−	0.695381i	0.0127022	−	0.0220009i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.a.16.1	yes	18
3.2	odd	2		855.2.bs.c.586.3		18
5.2	odd	4		475.2.u.b.149.4		36
5.3	odd	4		475.2.u.b.149.3		36
5.4	even	2		475.2.l.c.301.3		18
19.5	even	9		1805.2.a.v.1.2		9
19.6	even	9	inner	95.2.k.a.6.1	✓	18
19.14	odd	18		1805.2.a.s.1.8		9
57.44	odd	18		855.2.bs.c.766.3		18
95.14	odd	18		9025.2.a.cf.1.2		9
95.24	even	18		9025.2.a.cc.1.8		9
95.44	even	18		475.2.l.c.101.3		18
95.63	odd	36		475.2.u.b.424.4		36
95.82	odd	36		475.2.u.b.424.3		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.6.1	✓	18	19.6	even	9	inner
95.2.k.a.16.1	yes	18	1.1	even	1	trivial
475.2.l.c.101.3		18	95.44	even	18
475.2.l.c.301.3		18	5.4	even	2
475.2.u.b.149.3		36	5.3	odd	4
475.2.u.b.149.4		36	5.2	odd	4
475.2.u.b.424.3		36	95.82	odd	36
475.2.u.b.424.4		36	95.63	odd	36
855.2.bs.c.586.3		18	3.2	odd	2
855.2.bs.c.766.3		18	57.44	odd	18
1805.2.a.s.1.8		9	19.14	odd	18
1805.2.a.v.1.2		9	19.5	even	9
9025.2.a.cc.1.8		9	95.24	even	18
9025.2.a.cf.1.2		9	95.14	odd	18

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.484738 - 0.406743i) q^{2} +(-1.80387 + 0.656554i) q^{3} +(-0.277766 - 1.57529i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.14145 + 0.415455i) q^{6} +(-2.04448 - 3.54114i) q^{7} +(-1.13887 + 1.97259i) q^{8} +(0.524744 - 0.440313i) q^{9} +O(q^{10})\)	\(q+(-0.484738 - 0.406743i) q^{2} +(-1.80387 + 0.656554i) q^{3} +(-0.277766 - 1.57529i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.14145 + 0.415455i) q^{6} +(-2.04448 - 3.54114i) q^{7} +(-1.13887 + 1.97259i) q^{8} +(0.524744 - 0.440313i) q^{9} +(-0.484738 + 0.406743i) q^{10} +(2.17413 - 3.76571i) q^{11} +(1.53531 + 2.65924i) q^{12} +(-1.45826 - 0.530764i) q^{13} +(-0.449299 + 2.54810i) q^{14} +(0.333341 + 1.89047i) q^{15} +(-1.65185 + 0.601224i) q^{16} +(4.87326 + 4.08915i) q^{17} -0.433458 q^{18} +(0.708014 + 4.30101i) q^{19} -1.59959 q^{20} +(6.01291 + 5.04543i) q^{21} +(-2.58556 + 0.941068i) q^{22} +(-0.583829 - 3.31106i) q^{23} +(0.759268 - 4.30602i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(0.490990 + 0.850420i) q^{26} +(2.22197 - 3.84857i) q^{27} +(-5.01042 + 4.20424i) q^{28} +(3.99325 - 3.35074i) q^{29} +(0.607354 - 1.05197i) q^{30} +(-3.28366 - 5.68747i) q^{31} +(5.32603 + 1.93852i) q^{32} +(-1.44946 + 8.22028i) q^{33} +(-0.699019 - 3.96434i) q^{34} +(-3.84236 + 1.39850i) q^{35} +(-0.839375 - 0.704319i) q^{36} +0.180685 q^{37} +(1.40621 - 2.37284i) q^{38} +2.97899 q^{39} +(1.74486 + 1.46411i) q^{40} +(-0.0242217 + 0.00881597i) q^{41} +(-0.862490 - 4.89143i) q^{42} +(0.793995 - 4.50297i) q^{43} +(-6.53598 - 2.37890i) q^{44} +(-0.342502 - 0.593232i) q^{45} +(-1.06375 + 1.84246i) q^{46} +(-1.09575 + 0.919441i) q^{47} +(2.58498 - 2.16906i) q^{48} +(-4.85976 + 8.41736i) q^{49} +(0.316390 + 0.548004i) q^{50} +(-11.4755 - 4.17673i) q^{51} +(-0.431051 + 2.44461i) q^{52} +(-0.278010 - 1.57667i) q^{53} +(-2.64246 + 0.961776i) q^{54} +(-3.33097 - 2.79501i) q^{55} +9.31361 q^{56} +(-4.10101 - 7.29361i) q^{57} -3.29857 q^{58} +(7.31281 + 6.13617i) q^{59} +(2.88545 - 1.05022i) q^{60} +(-1.05793 - 5.99980i) q^{61} +(-0.721625 + 4.09254i) q^{62} +(-2.63203 - 0.957982i) q^{63} +(-0.0353865 - 0.0612913i) q^{64} +(-0.775925 + 1.34394i) q^{65} +(4.04615 - 3.39513i) q^{66} +(7.87159 - 6.60505i) q^{67} +(5.08797 - 8.81262i) q^{68} +(3.22704 + 5.58940i) q^{69} +(2.43137 + 0.884946i) q^{70} +(-1.88710 + 10.7023i) q^{71} +(0.270938 + 1.53657i) q^{72} +(12.7987 - 4.65836i) q^{73} +(-0.0875850 - 0.0734926i) q^{74} +1.91964 q^{75} +(6.57867 - 2.31000i) q^{76} -17.7799 q^{77} +(-1.44403 - 1.21168i) q^{78} +(-16.2283 + 5.90661i) q^{79} +(0.305250 + 1.73116i) q^{80} +(-1.83820 + 10.4250i) q^{81} +(0.0153270 + 0.00557858i) q^{82} +(2.57831 + 4.46577i) q^{83} +(6.27783 - 10.8735i) q^{84} +(4.87326 - 4.08915i) q^{85} +(-2.21643 + 1.85981i) q^{86} +(-5.00336 + 8.66608i) q^{87} +(4.95213 + 8.57735i) q^{88} +(0.477195 + 0.173685i) q^{89} +(-0.0752691 + 0.426873i) q^{90} +(1.10187 + 6.24904i) q^{91} +(-5.05370 + 1.83940i) q^{92} +(9.65742 + 8.10354i) q^{93} +0.905127 q^{94} +(4.35862 + 0.0496059i) q^{95} -10.8802 q^{96} +(2.51273 + 2.10843i) q^{97} +(5.77942 - 2.10354i) q^{98} +(-0.517226 - 2.93333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Introduction

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