LMFDB - Embedded newform 95.2.k.a.6.1

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			6.1
Root			$0.816390 - 1.41403i$ of defining polynomial
Character	$\chi$	$=$	95.6
Dual form			95.2.k.a.16.1

$q$-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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

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	−0.797876	−	0.602822i	$-0.794043\pi$
$2$	−0.484738	+	0.406743i	−0.342761	+	0.287611i	0.455114	+	0.890433i	$0.349598\pi$
$3$	−1.80387	−	0.656554i	−1.04146	−	0.379062i	−0.236029	−	0.971746i	$-0.575846\pi$
$3$	−1.80387	−	0.656554i	−1.04146	−	0.379062i	−0.805435	+	0.592684i	$0.798068\pi$
$4$	−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	0.163317	+	0.986574i	$0.447781\pi$
$7$	−2.04448	+	3.54114i	−0.772739	+	1.33842i	−0.936056	+	0.351850i	$0.885553\pi$
$8$	−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	0.981762	+	0.190116i	$0.0608864\pi$
$11$	2.17413	+	3.76571i	0.655526	+	1.13540i	−0.326235	+	0.945289i	$0.605780\pi$
$12$	1.53531	−	2.65924i	0.443207	−	0.767657i
$13$	−1.45826	+	0.530764i	−0.404449	+	0.147207i	−0.536231	−	0.844071i	$-0.680152\pi$
$13$	−1.45826	+	0.530764i	−0.404449	+	0.147207i	0.131782	+	0.991279i	$0.457930\pi$
$14$	−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	0.181976	−	0.983303i	$-0.441751\pi$
$17$	4.87326	−	4.08915i	1.18194	−	0.991765i	0.999964	−	0.00846250i	$-0.00269373\pi$
$18$	−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	0.861456	+	0.507832i	$0.169553\pi$
$23$	−0.583829	+	3.31106i	−0.121737	+	0.690403i	−0.983193	+	0.182571i	$0.941558\pi$
$24$	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	0.933248	−	0.359233i	$-0.116962\pi$
$29$	3.99325	+	3.35074i	0.741529	+	0.622216i	−0.191719	+	0.981450i	$0.561406\pi$
$30$	0.607354	+	1.05197i	0.110887	+	0.192062i
$31$	−3.28366	+	5.68747i	−0.589763	+	1.02150i	0.404500	+	0.914538i	$0.367445\pi$
$31$	−3.28366	+	5.68747i	−0.589763	+	1.02150i	−0.994263	+	0.106961i	$0.965888\pi$
$32$	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	0.340128	−	0.940379i	$-0.389530\pi$
$41$	−0.0242217	−	0.00881597i	−0.00378279	−	0.00137682i	−0.343911	+	0.939002i	$0.611752\pi$
$42$	−0.862490	+	4.89143i	−0.133085	+	0.754763i
$43$	0.793995	+	4.50297i	0.121083	+	0.686696i	0.983557	+	0.180595i	$0.0578025\pi$
$43$	0.793995	+	4.50297i	0.121083	+	0.686696i	−0.862474	+	0.506101i	$0.831086\pi$
$44$	−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	0.559365	−	0.828922i	$-0.311045\pi$
$47$	−1.09575	−	0.919441i	−0.159831	−	0.134114i	−0.719196	+	0.694807i	$0.755490\pi$
$48$	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	−0.997930	−	0.0643090i	$-0.979516\pi$
$53$	−0.278010	+	1.57667i	−0.0381876	+	0.216573i	0.959742	+	0.280882i	$0.0906268\pi$
$54$	−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	−0.0275947	−	0.999619i	$-0.508785\pi$
$59$	7.31281	−	6.13617i	0.952046	−	0.798862i	0.979641	+	0.200758i	$0.0643403\pi$
$60$	2.88545	+	1.05022i	0.372510	+	0.135582i
$61$	−1.05793	+	5.99980i	−0.135454	+	0.768195i	0.839089	+	0.543994i	$0.183088\pi$
$61$	−1.05793	+	5.99980i	−0.135454	+	0.768195i	−0.974543	+	0.224201i	$0.928023\pi$
$62$	−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	0.981224	−	0.192874i	$-0.0617808\pi$
$67$	7.87159	+	6.60505i	0.961668	+	0.806935i	−0.0195559	+	0.999809i	$0.506225\pi$
$68$	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	−0.864669	−	0.502343i	$-0.832472\pi$
$71$	−1.88710	−	10.7023i	−0.223957	−	1.27012i	0.640711	−	0.767782i	$-0.278640\pi$
$72$	0.270938	−	1.53657i	0.0319303	−	0.181086i
$73$	12.7987	+	4.65836i	1.49798	+	0.545220i	0.955536	−	0.294873i	$-0.0952774\pi$
$73$	12.7987	+	4.65836i	1.49798	+	0.545220i	0.542443	+	0.840093i	$0.317500\pi$
$74$	−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	−0.993984	−	0.109529i	$-0.965066\pi$
$79$	−16.2283	−	5.90661i	−1.82582	−	0.664545i	−0.831839	−	0.555016i	$-0.812712\pi$
$80$	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	−0.689117	−	0.724650i	$-0.742001\pi$
$83$	2.57831	−	4.46577i	0.283007	−	0.490182i	0.972124	+	0.234468i	$0.0753348\pi$
$84$	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	−0.316605	−	0.948557i	$-0.602543\pi$
$89$	0.477195	−	0.173685i	0.0505826	−	0.0184106i	0.367188	+	0.930147i	$0.380321\pi$
$90$	−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	−0.506248	−	0.862388i	$-0.668968\pi$
$97$	2.51273	−	2.10843i	0.255129	−	0.214079i	0.761377	+	0.648309i	$0.224524\pi$
$98$	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	−0.173639	−	0.984809i	$-0.555553\pi$
$101$	3.27996	−	1.19381i	0.326369	−	0.118788i	0.500008	+	0.866021i	$0.333330\pi$
$102$	3.86374	−	6.69220i	0.382567	−	0.662626i
$103$	−4.31572	−	7.47504i	−0.425240	−	0.736537i	0.571203	−	0.820809i	$-0.306477\pi$
$103$	−4.31572	−	7.47504i	−0.425240	−	0.736537i	−0.996443	+	0.0842716i	$0.973144\pi$
$104$	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	−0.976880	−	0.213786i	$-0.931420\pi$
$107$	−3.13732	+	5.43399i	−0.303296	+	0.525324i	0.673584	+	0.739110i	$0.264754\pi$
$108$	−6.67980	+	2.43125i	−0.642764	+	0.233947i
$109$	1.71297	+	9.71476i	0.164073	+	0.930506i	0.950015	+	0.312205i	$0.101068\pi$
$109$	1.71297	+	9.71476i	0.164073	+	0.930506i	−0.785942	+	0.618301i	$0.787821\pi$
$110$	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	−0.554482	−	0.832195i	$-0.687084\pi$
$127$	−5.00719	+	1.82247i	−0.444316	+	0.161718i	0.110167	+	0.993913i	$0.464862\pi$
$128$	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	−0.698298	−	0.715807i	$-0.746059\pi$
$131$	−1.31194	+	1.10085i	−0.114625	+	0.0961816i	0.583674	+	0.811988i	$0.301615\pi$
$132$	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	−0.912061	−	0.410054i	$-0.865510\pi$
$137$	0.997739	−	5.65846i	0.0852426	−	0.483435i	0.997304	−	0.0733811i	$-0.0233789\pi$
$138$	0.709182	+	4.02197i	0.0603695	+	0.342373i
$139$	16.5249	−	6.01458i	1.40162	−	0.510150i	0.472965	−	0.881081i	$-0.343184\pi$
$139$	16.5249	−	6.01458i	1.40162	−	0.510150i	0.928660	+	0.370932i	$0.120962\pi$
$140$	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	−0.119001	−	0.992894i	$-0.537969\pi$
$149$	−10.3558	−	3.76921i	−0.848381	−	0.308785i	−0.729380	+	0.684109i	$0.760191\pi$
$150$	−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	0.954195	−	0.299186i	$-0.0967151\pi$
$157$	−0.561125	−	3.18230i	−0.0447827	−	0.253975i	−0.998977	+	0.0452110i	$0.985604\pi$
$158$	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	0.707881	−	0.706332i	$-0.249651\pi$
$163$	−3.29087	−	5.69996i	−0.257761	−	0.446455i	−0.965642	+	0.259877i	$0.916318\pi$
$164$	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	−0.671300	−	0.741185i	$-0.734264\pi$
$167$	2.75277	−	15.6118i	0.213016	−	1.20807i	0.884316	−	0.466888i	$-0.154625\pi$
$168$	−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	−0.696470	−	0.717585i	$-0.745247\pi$
$173$	−1.45639	+	1.22206i	−0.110728	+	0.0929114i	0.585743	+	0.810497i	$0.300803\pi$
$174$	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	0.999226	+	0.0393383i	$0.0125250\pi$
$179$	7.14016	+	12.3671i	0.533681	+	0.924362i	−0.465545	+	0.885024i	$0.654142\pi$
$180$	−0.839375	−	0.704319i	−0.0625633	−	0.0524969i
$181$	11.0202	+	9.24705i	0.819125	+	0.687328i	0.952767	−	0.303702i	$-0.0982227\pi$
$181$	11.0202	+	9.24705i	0.819125	+	0.687328i	−0.133642	+	0.991030i	$0.542667\pi$
$182$	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	0.509128	−	0.860691i	$-0.329968\pi$
$193$	4.80540	+	1.74902i	0.345900	+	0.125897i	−0.163227	+	0.986588i	$0.552190\pi$
$194$	−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	−0.867168	−	0.498015i	$-0.834062\pi$
$197$	−0.0321431	+	0.0556735i	−0.00229010	+	0.00396658i	0.864878	+	0.501982i	$0.167396\pi$
$198$	−0.942395	−	1.63228i	−0.0669731	−	0.116001i
$199$	−4.88735	−	4.10098i	−0.346455	−	0.290711i	0.452910	−	0.891556i	$-0.350386\pi$
$199$	−4.88735	−	4.10098i	−0.346455	−	0.290711i	−0.799365	+	0.600846i	$0.794831\pi$
$200$	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	−0.785224	−	0.619212i	$-0.787452\pi$
$211$	−4.52874	+	3.80006i	−0.311771	+	0.261607i	0.473453	+	0.880819i	$0.343008\pi$
$212$	−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	−0.358859	−	0.933392i	$-0.616834\pi$
$223$	−5.09043	−	28.8693i	−0.340881	−	1.93323i	0.0179785	−	0.999838i	$-0.494277\pi$
$224$	−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	−0.998658	−	0.0517912i	$-0.983507\pi$
$233$	−1.18970	−	6.74715i	−0.0779401	−	0.442020i	0.920718	−	0.390229i	$-0.127604\pi$
$234$	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	0.997145	−	0.0755132i	$-0.0240595\pi$
$239$	6.69674	+	11.5991i	0.433176	+	0.750283i	−0.563969	+	0.825796i	$0.690726\pi$
$240$	−1.68723	+	2.92237i	−0.108910	+	0.188638i
$241$	24.1069	−	8.77421i	1.55286	−	0.565196i	0.583777	−	0.811914i	$-0.301574\pi$
$241$	24.1069	−	8.77421i	1.55286	−	0.565196i	0.969087	+	0.246717i	$0.0793520\pi$
$242$	−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	0.893146	+	0.449767i	$0.148493\pi$
$251$	−1.58376	+	8.98194i	−0.0999660	+	0.566935i	−0.993112	+	0.117168i	$0.962618\pi$
$252$	−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	−0.999959	−	0.00903962i	$-0.997123\pi$
$257$	−18.9570	−	15.9068i	−1.18250	−	0.992237i	−0.182543	−	0.983198i	$-0.558433\pi$
$258$	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	0.729147	−	0.684357i	$-0.239917\pi$
$263$	13.7492	+	5.00428i	0.847809	+	0.308577i	0.118662	+	0.992935i	$0.462139\pi$
$264$	−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	−0.201623	−	0.979463i	$-0.564622\pi$
$269$	−16.1661	−	5.88396i	−0.985662	−	0.358752i	−0.784039	+	0.620712i	$0.786844\pi$
$270$	0.488306	−	2.76932i	0.0297174	−	0.168536i
$271$	2.37389	+	13.4630i	0.144203	+	0.817819i	0.968003	+	0.250938i	$0.0807389\pi$
$271$	2.37389	+	13.4630i	0.144203	+	0.817819i	−0.823800	+	0.566881i	$0.808150\pi$
$272$	−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	0.994246	−	0.107117i	$-0.0341620\pi$
$277$	6.72984	+	11.6564i	0.404357	+	0.700367i	−0.589889	+	0.807484i	$0.700829\pi$
$278$	−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	0.749901	+	0.661550i	$0.230101\pi$
$281$	−3.03476	+	17.2110i	−0.181039	+	1.02672i	−0.930940	+	0.365172i	$0.881010\pi$
$282$	−1.63273	−	0.594265i	−0.0972276	−	0.0353880i
$283$	−16.1126	+	13.5201i	−0.957794	+	0.803684i	−0.980593	−	0.196056i	$-0.937187\pi$
$283$	−16.1126	+	13.5201i	−0.957794	+	0.803684i	0.0227990	+	0.999740i	$0.492742\pi$
$284$	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	0.979111	−	0.203326i	$-0.0651753\pi$
$293$	5.36574	+	9.29373i	0.313470	+	0.542945i	−0.665641	+	0.746272i	$0.731842\pi$
$294$	−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	0.413646	−	0.910438i	$-0.364255\pi$
$307$	2.54584	+	0.926610i	0.145299	+	0.0528845i	−0.268347	+	0.963322i	$0.586477\pi$
$308$	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	−0.744618	−	0.667491i	$-0.767368\pi$
$311$	3.62852	−	6.28478i	0.205755	−	0.356377i	0.950373	+	0.311113i	$0.100702\pi$
$312$	−3.39269	−	5.87632i	−0.192073	−	0.332681i
$313$	−6.64853	−	5.57878i	−0.375797	−	0.315331i	0.435253	−	0.900308i	$-0.356659\pi$
$313$	−6.64853	−	5.57878i	−0.375797	−	0.315331i	−0.811050	+	0.584977i	$0.801103\pi$
$314$	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	0.691089	−	0.722770i	$-0.257131\pi$
$317$	30.0020	−	10.9198i	1.68508	−	0.613319i	0.993992	+	0.109451i	$0.0349091\pi$
$318$	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	−0.978512	−	0.206190i	$-0.933893\pi$
$331$	−12.1500	−	21.0443i	−0.667822	−	1.15670i	0.310690	−	0.950511i	$-0.399440\pi$
$332$	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	0.758846	+	0.651270i	$0.225764\pi$
$337$	4.92922	+	27.9550i	0.268512	+	1.52280i	−0.490334	+	0.871534i	$0.663125\pi$
$338$	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	−0.687142	−	0.726523i	$-0.741135\pi$
$347$	−5.40071	−	30.6289i	−0.289925	−	1.64425i	0.397217	−	0.917725i	$-0.369976\pi$
$348$	15.0413	−	5.47460i	0.806300	−	0.293469i
$349$	−8.73989	+	15.1379i	−0.467836	+	0.810315i	−0.999324	−	0.0367503i	$-0.988299\pi$
$349$	−8.73989	+	15.1379i	−0.467836	+	0.810315i	0.531489	+	0.847065i	$0.321633\pi$
$350$	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	0.959233	−	0.282615i	$-0.0912020\pi$
$353$	4.41270	+	7.64303i	0.234865	+	0.406797i	−0.724369	+	0.689413i	$0.757869\pi$
$354$	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	−0.144073	−	0.989567i	$-0.546020\pi$
$359$	15.2610	−	12.8055i	0.805443	−	0.675847i	0.949515	+	0.313720i	$0.101575\pi$
$360$	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	−0.540985	−	0.841032i	$-0.681949\pi$
$367$	−7.94641	+	2.89226i	−0.414799	+	0.150975i	0.126186	+	0.992007i	$0.459726\pi$
$368$	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	−0.758714	−	0.651424i	$-0.774172\pi$
$373$	3.56895	−	6.18160i	0.184793	−	0.320071i	0.943507	+	0.331353i	$0.107505\pi$
$374$	−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	0.329414	−	0.944185i	$-0.393149\pi$
$383$	−0.492206	−	0.179148i	−0.0251505	−	0.00915404i	−0.354565	+	0.935031i	$0.615371\pi$
$384$	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	0.593020	−	0.805188i	$-0.297936\pi$
$389$	−1.91233	−	1.60464i	−0.0969590	−	0.0813583i	−0.689979	+	0.723830i	$0.742380\pi$
$390$	−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	−0.696610	−	0.717450i	$-0.745309\pi$
$397$	−2.21214	+	1.85621i	−0.111024	+	0.0931604i	0.585586	+	0.810611i	$0.300865\pi$
$398$	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	−0.909984	−	0.414643i	$-0.863907\pi$
$401$	−13.2096	+	11.0842i	−0.659658	+	0.553519i	0.250326	+	0.968162i	$0.419462\pi$
$402$	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	−0.00359375	−	0.999994i	$-0.501144\pi$
$409$	−20.0017	−	16.7834i	−0.989019	−	0.829886i	−0.985425	+	0.170108i	$0.945588\pi$
$410$	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	−0.165368	−	0.986232i	$-0.552881\pi$
$421$	−18.9996	−	6.91529i	−0.925985	−	0.337031i	−0.760617	+	0.649201i	$0.775103\pi$
$422$	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	0.843958	−	0.536409i	$-0.180219\pi$
$431$	38.1011	−	13.8677i	1.83526	−	0.667982i	0.991306	−	0.131573i	$-0.0420028\pi$
$432$	−1.35651	−	7.69317i	−0.0652653	−	0.370138i
$433$	−3.95457	+	22.4275i	−0.190044	+	1.07779i	0.729257	+	0.684240i	$0.239866\pi$
$433$	−3.95457	+	22.4275i	−0.190044	+	1.07779i	−0.919301	+	0.393555i	$0.871245\pi$
$434$	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	−0.194777	+	0.980848i	$0.562398\pi$
$439$	−25.0285	+	21.0014i	−1.19455	+	1.00234i	−0.999769	+	0.0214950i	$0.993157\pi$
$440$	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	−0.0131689	−	0.999913i	$-0.504192\pi$
$443$	13.0384	−	4.74560i	0.619475	−	0.225470i	0.632644	+	0.774443i	$0.281970\pi$
$444$	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	−0.786402	−	0.617715i	$-0.788059\pi$
$449$	3.00375	−	5.20265i	0.141756	−	0.245528i	0.928158	+	0.372187i	$0.121392\pi$
$450$	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	−0.679744	−	0.733450i	$-0.737909\pi$
$461$	−6.26625	−	35.5376i	−0.291848	−	1.65515i	0.387896	−	0.921703i	$-0.373202\pi$
$462$	−20.2949	+	7.38673i	−0.944203	+	0.343662i
$463$	−3.52141	+	6.09926i	−0.163654	+	0.283457i	−0.936176	−	0.351531i	$-0.885661\pi$
$463$	−3.52141	+	6.09926i	−0.163654	+	0.283457i	0.772523	+	0.634987i	$0.218995\pi$
$464$	−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	−0.800566	−	0.599245i	$-0.795468\pi$
$467$	−19.8650	−	34.4072i	−0.919244	−	1.59218i	−0.118678	−	0.992933i	$-0.537866\pi$
$468$	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	0.406192	+	0.913788i	$0.366857\pi$
$479$	−6.30401	+	35.7518i	−0.288038	+	1.63354i	−0.694229	+	0.719754i	$0.744255\pi$
$480$	−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	−0.835877	−	0.548916i	$-0.815041\pi$
$487$	1.26752	−	2.19541i	0.0574368	−	0.0994835i	0.893314	+	0.449433i	$0.148374\pi$
$488$	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	0.966047	−	0.258367i	$-0.0831845\pi$
$491$	34.1243	+	12.4202i	1.54001	+	0.560516i	0.573959	+	0.818884i	$0.305407\pi$
$492$	−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	−0.971770	−	0.235929i	$-0.924187\pi$
$499$	−3.11167	−	17.6471i	−0.139297	−	0.789994i	0.832473	−	0.554066i	$-0.186924\pi$
$500$	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	0.221447	−	0.975173i	$-0.428922\pi$
$503$	−15.7096	−	13.1819i	−0.700457	−	0.587753i	−0.921904	+	0.387419i	$0.873367\pi$
$504$	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	0.866394	+	0.499361i	$0.166432\pi$
$509$	−2.67442	+	15.1674i	−0.118542	+	0.672283i	−0.984936	+	0.172922i	$0.944679\pi$
$510$	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	0.890716	−	0.454561i	$-0.150204\pi$
$521$	1.17999	+	2.04381i	0.0516965	+	0.0895409i	−0.839019	+	0.544102i	$0.816870\pi$
$522$	−1.73091	−	1.45240i	−0.0757597	−	0.0635700i
$523$	14.5909	+	12.2432i	0.638014	+	0.535358i	0.903408	−	0.428783i	$-0.141057\pi$
$523$	14.5909	+	12.2432i	0.638014	+	0.535358i	−0.265393	+	0.964140i	$0.585502\pi$
$524$	−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	0.556709	−	0.830708i	$-0.312064\pi$
$541$	−3.83099	−	3.21458i	−0.164707	−	0.138206i	−0.721416	+	0.692502i	$0.756508\pi$
$542$	−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	−0.992566	−	0.121705i	$-0.961164\pi$
$547$	−0.426450	+	2.41852i	−0.0182337	+	0.103408i	0.974333	+	0.225113i	$0.0722751\pi$
$548$	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	−0.247497	−	0.968889i	$-0.579608\pi$
$557$	4.38265	−	1.59515i	0.185699	−	0.0675889i	0.433196	+	0.901300i	$0.357386\pi$
$558$	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	0.227163	+	0.973857i	$0.427055\pi$
$563$	−17.3165	+	29.9930i	−0.729803	+	1.26406i	−0.956966	+	0.290199i	$0.906278\pi$
$564$	−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	−0.395677	−	0.918390i	$-0.629490\pi$
$577$	14.3527	−	24.8596i	0.597510	−	1.03492i	0.993187	−	0.116528i	$-0.0371765\pi$
$578$	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	−0.614012	−	0.789297i	$-0.710445\pi$
$587$	1.37306	−	1.15213i	0.0566723	−	0.0475537i	0.670684	+	0.741743i	$0.266001\pi$
$588$	−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	−0.978226	−	0.207542i	$-0.933453\pi$
$593$	0.291962	−	1.65580i	0.0119894	−	0.0679955i	0.990215	+	0.139547i	$0.0445646\pi$
$594$	−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	0.608332	−	0.793683i	$-0.291839\pi$
$599$	−1.65586	−	1.38943i	−0.0676568	−	0.0567708i	−0.675989	+	0.736912i	$0.736283\pi$
$600$	−2.18623	−	3.78665i	−0.0892523	−	0.154589i
$601$	−2.21602	+	3.83826i	−0.0903934	+	0.156566i	−0.907677	−	0.419670i	$-0.862146\pi$
$601$	−2.21602	+	3.83826i	−0.0903934	+	0.156566i	0.817283	+	0.576236i	$0.195479\pi$
$602$	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	0.971898	+	0.235400i	$0.0756402\pi$
$613$	3.44456	+	19.5351i	0.139124	+	0.789013i	−0.832774	+	0.553613i	$0.813249\pi$
$614$	−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	0.906526	−	0.422150i	$-0.138725\pi$
$617$	16.1011	+	13.5104i	0.648206	+	0.543909i	−0.258320	+	0.966059i	$0.583169\pi$
$618$	−8.03173	−	6.73942i	−0.323083	−	0.271099i
$619$	−10.1316	−	17.5484i	−0.407223	−	0.705331i	0.587354	−	0.809330i	$-0.300169\pi$
$619$	−10.1316	−	17.5484i	−0.407223	−	0.705331i	−0.994577	+	0.103999i	$0.966836\pi$
$620$	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	−0.451781	−	0.892129i	$-0.649211\pi$
$631$	6.98027	−	39.5871i	0.277880	−	1.57594i	0.729661	−	0.683809i	$-0.239678\pi$
$632$	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	0.994436	−	0.105340i	$-0.0335930\pi$
$641$	0.606201	+	3.43794i	0.0239435	+	0.135790i	−0.970493	+	0.241130i	$0.922482\pi$
$642$	−1.32352	+	7.50606i	−0.0522352	+	0.296241i
$643$	−34.0072	−	12.3776i	−1.34111	−	0.488125i	−0.430949	−	0.902376i	$-0.641821\pi$
$643$	−34.0072	−	12.3776i	−1.34111	−	0.488125i	−0.910162	+	0.414252i	$0.864043\pi$
$644$	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	−0.654160	−	0.756356i	$-0.726978\pi$
$653$	8.38024	−	14.5150i	0.327944	−	0.568016i	0.982104	+	0.188341i	$0.0603110\pi$
$654$	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	−0.914913	−	0.403652i	$-0.867741\pi$
$659$	−34.8179	+	12.6727i	−1.35631	+	0.493658i	−0.441401	+	0.897310i	$0.645518\pi$
$660$	2.31854	+	13.1491i	0.0902489	+	0.511827i
$661$	3.76649	−	21.3608i	0.146500	−	0.830841i	−0.819651	−	0.572863i	$-0.805833\pi$
$661$	3.76649	−	21.3608i	0.146500	−	0.830841i	0.966151	−	0.257978i	$-0.0830561\pi$
$662$	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	0.913328	−	0.407225i	$-0.133504\pi$
$673$	2.69790	+	4.67290i	0.103996	+	0.180127i	−0.809331	+	0.587352i	$0.800170\pi$
$674$	−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	−0.399440	−	0.916759i	$-0.630795\pi$
$677$	15.4611	−	26.7794i	0.594217	−	1.02921i	0.993657	−	0.112455i	$-0.0358713\pi$
$678$	−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	−0.784269	−	0.620421i	$-0.786962\pi$
$691$	3.81597	−	6.60946i	0.145166	−	0.251436i	0.929435	+	0.368986i	$0.120295\pi$
$692$	−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	−0.382772	−	0.923843i	$-0.625030\pi$
$701$	12.1942	−	10.2321i	0.460568	−	0.386463i	0.843340	+	0.537380i	$0.180586\pi$
$702$	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	0.473346	−	0.880877i	$-0.343046\pi$
$709$	37.3356	−	13.5890i	1.40217	−	0.510347i	0.928821	+	0.370530i	$0.120824\pi$
$710$	−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	0.481046	−	0.876695i	$-0.340257\pi$
$719$	7.66940	+	2.79143i	0.286020	+	0.104103i	−0.195026	+	0.980798i	$0.562479\pi$
$720$	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	0.979335	−	0.202246i	$-0.0648239\pi$
$727$	−0.272620	−	1.54611i	−0.0101109	−	0.0573419i	−0.989446	+	0.144904i	$0.953713\pi$
$728$	−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	0.822378	−	0.568941i	$-0.192647\pi$
$733$	−2.20731	−	3.82317i	−0.0815288	−	0.141212i	−0.903907	+	0.427729i	$0.859314\pi$
$734$	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	−0.774700	−	0.632328i	$-0.782099\pi$
$739$	−7.78848	+	6.53531i	−0.286504	+	0.240405i	0.488197	+	0.872734i	$0.337655\pi$
$740$	−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	−0.538411	−	0.842682i	$-0.680975\pi$
$743$	5.39641	−	4.52813i	0.197975	−	0.166121i	0.736386	+	0.676562i	$0.236531\pi$
$744$	−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	0.927595	−	0.373586i	$-0.121872\pi$
$751$	19.7520	+	16.5739i	0.720760	+	0.604789i	−0.206835	+	0.978376i	$0.566316\pi$
$752$	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	−0.00843696	−	0.999964i	$-0.502686\pi$
$757$	−18.0947	−	6.58595i	−0.657665	−	0.239370i	−0.649228	+	0.760594i	$0.724908\pi$
$758$	−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	0.132152	−	0.991230i	$-0.457811\pi$
$769$	−22.7690	−	19.1055i	−0.821071	−	0.688960i	−0.953223	+	0.302269i	$0.902256\pi$
$770$	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	−0.124503	−	0.992219i	$-0.539734\pi$
$773$	11.6190	−	4.22899i	0.417908	−	0.152106i	0.542411	+	0.840113i	$0.317512\pi$
$774$	−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	−0.930829	−	0.365456i	$-0.880913\pi$
$787$	−21.9353	−	37.9930i	−0.781909	−	1.35431i	0.148920	−	0.988849i	$-0.452420\pi$
$788$	−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	−0.999341	−	0.0363062i	$-0.988441\pi$
$809$	−15.1064	−	26.1650i	−0.531112	−	0.919914i	0.468228	−	0.883608i	$-0.344892\pi$
$810$	−3.34924	+	5.80105i	−0.117680	+	0.203828i
$811$	−3.43739	+	1.25111i	−0.120703	+	0.0439323i	−0.401666	−	0.915786i	$-0.631569\pi$
$811$	−3.43739	+	1.25111i	−0.120703	+	0.0439323i	0.280963	+	0.959719i	$0.409346\pi$
$812$	−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	0.867589	+	0.497281i	$0.165668\pi$
$821$	−3.37413	+	19.1357i	−0.117758	+	0.667839i	−0.985348	+	0.170558i	$0.945443\pi$
$822$	−1.21196	−	6.87338i	−0.0422720	−	0.239737i
$823$	4.92429	−	1.79230i	0.171650	−	0.0624755i	−0.254766	−	0.967003i	$-0.581998\pi$
$823$	4.92429	−	1.79230i	0.171650	−	0.0624755i	0.426416	+	0.904527i	$0.359776\pi$
$824$	−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	0.830950	+	0.556346i	$0.187797\pi$
$827$	43.8018	+	36.7541i	1.52314	+	1.27806i	0.692187	+	0.721718i	$0.256647\pi$
$828$	−1.84199	−	3.19042i	−0.0640136	−	0.110875i
$829$	7.34286	−	12.7182i	0.255028	−	0.441722i	−0.709875	−	0.704328i	$-0.751249\pi$
$829$	7.34286	−	12.7182i	0.255028	−	0.441722i	0.964903	+	0.262606i	$0.0845819\pi$
$830$	−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	−0.0200999	−	0.999798i	$-0.506398\pi$
$839$	−19.6431	−	7.14950i	−0.678155	−	0.246828i	−0.658055	+	0.752970i	$0.728621\pi$
$840$	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	−0.315648	−	0.948876i	$-0.602222\pi$
$853$	16.4723	−	13.8219i	0.564000	−	0.473253i	0.879649	+	0.475624i	$0.157778\pi$
$854$	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	−0.345208	+	0.938526i	$0.612192\pi$
$857$	−38.9182	+	32.6562i	−1.32942	+	1.11552i	−0.984213	+	0.176990i	$0.943364\pi$
$858$	−7.70236	−	2.80343i	−0.262954	−	0.0957075i
$859$	−1.25062	+	7.09262i	−0.0426706	+	0.241997i	−0.998682	−	0.0513340i	$-0.983653\pi$
$859$	−1.25062	+	7.09262i	−0.0426706	+	0.241997i	0.956011	+	0.293331i	$0.0947638\pi$
$860$	−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	0.670579	−	0.741838i	$-0.266046\pi$
$863$	−9.02344	−	15.6291i	−0.307161	−	0.532019i	−0.977740	+	0.209819i	$0.932712\pi$
$864$	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	0.689985	−	0.723824i	$-0.257617\pi$
$877$	22.3078	+	8.11936i	0.753280	+	0.274171i	0.0632945	+	0.997995i	$0.479839\pi$
$878$	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	0.434489	+	0.900677i	$0.356929\pi$
$881$	−16.7038	+	28.9318i	−0.562765	+	0.974737i	−0.997254	+	0.0740599i	$0.976404\pi$
$882$	2.10650	+	3.64857i	0.0709296	+	0.122854i
$883$	32.5424	+	27.3063i	1.09514	+	0.918931i	0.997089	−	0.0762507i	$-0.0242949\pi$
$883$	32.5424	+	27.3063i	1.09514	+	0.918931i	0.0980503	+	0.995181i	$0.468739\pi$
$884$	−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	−0.189671	−	0.981848i	$-0.560742\pi$
$887$	8.82015	−	3.21027i	0.296152	−	0.107790i	0.485823	+	0.874057i	$0.338520\pi$
$888$	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	0.954316	−	0.298800i	$-0.0965863\pi$
$907$	−1.34450	−	7.62501i	−0.0446432	−	0.253184i	−0.998959	+	0.0456153i	$0.985475\pi$
$908$	−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	−0.660920	−	0.750457i	$-0.729834\pi$
$919$	9.68427	−	16.7736i	0.319455	−	0.553311i	0.980374	+	0.197145i	$0.0631670\pi$
$920$	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	−0.282868	−	0.959159i	$-0.591286\pi$
$929$	18.6717	−	15.6674i	0.612600	−	0.514032i	0.895468	+	0.445127i	$0.146841\pi$
$930$	−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	−0.612457	−	0.790504i	$-0.709819\pi$
$937$	−17.5551	+	6.38953i	−0.573499	+	0.208737i	0.0389573	+	0.999241i	$0.487596\pi$
$938$	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	0.301814	−	0.953367i	$-0.402408\pi$
$941$	−17.9348	−	15.0491i	−0.584659	−	0.490587i	−0.886473	+	0.462779i	$0.846852\pi$
$942$	−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	−0.344740	−	0.938698i	$-0.612033\pi$
$947$	−37.3038	−	13.5775i	−1.21221	−	0.441208i	−0.867470	+	0.497490i	$0.834255\pi$
$948$	−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	0.960857	−	0.277045i	$-0.0893550\pi$
$953$	46.8875	+	17.0657i	1.51884	+	0.552811i	0.557978	+	0.829856i	$0.311577\pi$
$954$	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	−0.341636	+	0.939832i	$0.610981\pi$
$967$	−41.2501	+	34.6130i	−1.32651	+	1.11308i	−0.984879	+	0.173246i	$0.944575\pi$
$968$	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	−0.888008	−	0.459828i	$-0.847911\pi$
$971$	−18.3652	+	15.4102i	−0.589367	+	0.494537i	0.298641	+	0.954365i	$0.403467\pi$
$972$	−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	0.888067	+	0.459713i	$0.152048\pi$
$977$	26.3233	+	45.5933i	0.842157	+	1.45866i	−0.0459104	+	0.998946i	$0.514619\pi$
$978$	−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	−0.858353	−	0.513059i	$-0.828512\pi$
$983$	−7.12467	−	40.4060i	−0.227242	−	1.28875i	0.631112	−	0.775692i	$-0.282599\pi$
$984$	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	−0.119446	−	0.992841i	$-0.538112\pi$
$991$	−26.7308	−	9.72922i	−0.849133	−	0.309059i	−0.729687	+	0.683782i	$0.760334\pi$
$992$	−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	0.106929	−	0.994267i	$-0.465898\pi$
$997$	−26.9547	−	22.6177i	−0.853664	−	0.716309i	−0.960593	+	0.277957i	$0.910343\pi$
$998$	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.6.1	✓	18
3.2	odd	2		855.2.bs.c.766.3		18
5.2	odd	4		475.2.u.b.424.3		36
5.3	odd	4		475.2.u.b.424.4		36
5.4	even	2		475.2.l.c.101.3		18
19.4	even	9		1805.2.a.v.1.2		9
19.15	odd	18		1805.2.a.s.1.8		9
19.16	even	9	inner	95.2.k.a.16.1	yes	18
57.35	odd	18		855.2.bs.c.586.3		18
95.4	even	18		9025.2.a.cc.1.8		9
95.34	odd	18		9025.2.a.cf.1.2		9
95.54	even	18		475.2.l.c.301.3		18
95.73	odd	36		475.2.u.b.149.3		36
95.92	odd	36		475.2.u.b.149.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.6.1	✓	18	1.1	even	1	trivial
95.2.k.a.16.1	yes	18	19.16	even	9	inner
475.2.l.c.101.3		18	5.4	even	2
475.2.l.c.301.3		18	95.54	even	18
475.2.u.b.149.3		36	95.73	odd	36
475.2.u.b.149.4		36	95.92	odd	36
475.2.u.b.424.3		36	5.2	odd	4
475.2.u.b.424.4		36	5.3	odd	4
855.2.bs.c.586.3		18	57.35	odd	18
855.2.bs.c.766.3		18	3.2	odd	2
1805.2.a.s.1.8		9	19.15	odd	18
1805.2.a.v.1.2		9	19.4	even	9
9025.2.a.cc.1.8		9	95.4	even	18
9025.2.a.cf.1.2		9	95.34	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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