LMFDB - Embedded newform 966.2.r.a.113.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.10
Character	$\chi$	$=$	966.113
Dual form			966.2.r.a.701.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(1.04501 + 1.38129i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.38055 - 0.405366i) q^{5} +(-1.72699 + 0.132338i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-0.815909 + 2.88692i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(1.04501 + 1.38129i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.38055 - 0.405366i) q^{5} +(-1.72699 + 0.132338i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-0.815909 + 2.88692i) q^{9} +(1.08740 - 0.942236i) q^{10} +(3.77859 - 2.42835i) q^{11} +(0.822350 - 1.52438i) q^{12} +(-4.08260 - 4.71158i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-0.882762 - 2.33055i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.06295 + 4.51723i) q^{17} +(-1.98752 - 2.24717i) q^{18} +(-7.86057 + 3.58980i) q^{19} +(0.204767 + 1.42419i) q^{20} +(0.114785 - 1.72824i) q^{21} +4.49162i q^{22} +(-4.63022 - 1.24942i) q^{23} +(0.837796 + 1.51595i) q^{24} +(-2.46467 - 1.58395i) q^{25} +(6.17085 - 0.887234i) q^{26} +(-4.84029 + 1.88985i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-1.26764 - 0.578911i) q^{29} +(2.43784 + 0.517363i) q^{30} +(-0.279329 + 1.94277i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(7.30292 + 2.68167i) q^{33} +(-2.68482 - 4.17766i) q^{34} +(0.777892 + 1.21042i) q^{35} +(2.96497 - 0.457092i) q^{36} +(-3.37806 - 11.5046i) q^{37} +(1.22981 - 8.55353i) q^{38} +(2.24168 - 10.5629i) q^{39} +(-1.30881 - 0.597713i) q^{40} +(1.64576 - 5.60494i) q^{41} +(1.39183 + 1.03092i) q^{42} +(2.67569 - 0.384706i) q^{43} +(-3.77859 - 2.42835i) q^{44} +(2.29666 - 3.65479i) q^{45} +(3.55436 - 3.21971i) q^{46} +10.6326i q^{47} +(-1.72824 - 0.114785i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.66500 - 1.21707i) q^{50} +(-8.39539 + 1.87102i) q^{51} +(-2.58982 + 5.67093i) q^{52} +(4.26105 - 4.91752i) q^{53} +(1.02702 - 5.09365i) q^{54} +(-6.20091 + 1.82075i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(-13.1729 - 7.10633i) q^{57} +(1.17235 - 0.753422i) q^{58} +(7.28307 - 6.31082i) q^{59} +(-1.75323 + 1.77113i) q^{60} +(-3.62509 - 0.521210i) q^{61} +(-1.48335 - 1.28533i) q^{62} +(2.50715 - 1.64748i) q^{63} +(0.959493 + 0.281733i) q^{64} +(3.72633 + 8.15952i) q^{65} +(-6.20422 + 4.69379i) q^{66} +(-1.13903 + 1.77236i) q^{67} +4.96600 q^{68} +(-3.11283 - 7.70132i) q^{69} -1.43883 q^{70} +(-4.56458 + 7.10262i) q^{71} +(-1.21846 + 2.74142i) q^{72} +(4.23611 + 9.27579i) q^{73} +(11.5046 + 3.37806i) q^{74} +(-0.387718 - 5.05966i) q^{75} +(6.53080 + 5.65897i) q^{76} +(-4.44590 - 0.639224i) q^{77} +(7.67413 + 7.59655i) q^{78} +(2.65120 - 2.29728i) q^{79} +(1.21042 - 0.777892i) q^{80} +(-7.66859 - 4.71092i) q^{81} +(3.82541 + 4.41476i) q^{82} +(6.36785 - 1.86977i) q^{83} +(-1.61975 + 0.613526i) q^{84} +(4.67914 - 5.40001i) q^{85} +(-1.12295 + 2.45892i) q^{86} +(-0.525052 - 2.35594i) q^{87} +(4.08572 - 1.86589i) q^{88} +(0.0941349 + 0.654723i) q^{89} +(1.83294 + 3.90801i) q^{90} +6.23431i q^{91} +(0.786956 + 4.73082i) q^{92} +(-2.97543 + 1.64438i) q^{93} +(-8.94473 - 5.74843i) q^{94} +(12.3071 - 1.76949i) q^{95} +(1.03092 - 1.39183i) q^{96} +(-4.41422 + 15.0334i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(3.92747 + 12.8898i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$3$	1.04501	+	1.38129i	0.603337	+	0.797487i
$3$	1.04501	+	1.38129i	0.603337	+	0.797487i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−1.38055	−	0.405366i	−0.617401	−	0.181285i	−0.0419475	−	0.999120i	$-0.513356\pi$
$5$	−1.38055	−	0.405366i	−0.617401	−	0.181285i	−0.575453	+	0.817835i	$0.695174\pi$
$6$	−1.72699	+	0.132338i	−0.705040	+	0.0540268i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	0.989821	+	0.142315i	0.349955	+	0.0503159i
$9$	−0.815909	+	2.88692i	−0.271970	+	0.962306i
$10$	1.08740	−	0.942236i	0.343865	−	0.297961i
$11$	3.77859	−	2.42835i	1.13929	−	0.732176i	0.171810	−	0.985130i	$-0.445038\pi$
$11$	3.77859	−	2.42835i	1.13929	−	0.732176i	0.967478	+	0.252954i	$0.0814021\pi$
$12$	0.822350	−	1.52438i	0.237392	−	0.440051i
$13$	−4.08260	−	4.71158i	−1.13231	−	1.30676i	−0.945964	−	0.324272i	$-0.894881\pi$
$13$	−4.08260	−	4.71158i	−1.13231	−	1.30676i	−0.186346	−	0.982484i	$-0.559665\pi$
$14$	0.959493	−	0.281733i	0.256435	−	0.0752962i
$15$	−0.882762	−	2.33055i	−0.227928	−	0.601745i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−2.06295	+	4.51723i	−0.500339	+	1.09559i	0.476020	+	0.879434i	$0.342079\pi$
$17$	−2.06295	+	4.51723i	−0.500339	+	1.09559i	−0.976359	+	0.216155i	$0.930648\pi$
$18$	−1.98752	−	2.24717i	−0.468462	−	0.529663i
$19$	−7.86057	+	3.58980i	−1.80334	+	0.823557i	−0.846824	+	0.531873i	$0.821488\pi$
$19$	−7.86057	+	3.58980i	−1.80334	+	0.823557i	−0.956515	+	0.291685i	$0.905784\pi$
$20$	0.204767	+	1.42419i	0.0457874	+	0.318458i
$21$	0.114785	−	1.72824i	0.0250481	−	0.377134i
$22$			4.49162i			0.957617i
$23$	−4.63022	−	1.24942i	−0.965468	−	0.260521i
$23$	−4.63022	−	1.24942i	−0.965468	−	0.260521i
$24$	0.837796	+	1.51595i	0.171014	+	0.309442i
$25$	−2.46467	−	1.58395i	−0.492934	−	0.316789i
$26$	6.17085	−	0.887234i	1.21020	−	0.174001i
$27$	−4.84029	+	1.88985i	−0.931515	+	0.363702i
$28$	−0.281733	+	0.959493i	−0.0532424	+	0.181327i
$29$	−1.26764	−	0.578911i	−0.235394	−	0.107501i	0.294226	−	0.955736i	$-0.404938\pi$
$29$	−1.26764	−	0.578911i	−0.235394	−	0.107501i	−0.529620	+	0.848235i	$0.677666\pi$
$30$	2.43784	+	0.517363i	0.445087	+	0.0944572i
$31$	−0.279329	+	1.94277i	−0.0501689	+	0.348932i	0.949240	+	0.314553i	$0.101855\pi$
$31$	−0.279329	+	1.94277i	−0.0501689	+	0.348932i	−0.999409	+	0.0343795i	$0.989055\pi$
$32$	−0.281733	−	0.959493i	−0.0498038	−	0.169616i
$33$	7.30292	+	2.68167i	1.27128	+	0.466818i
$34$	−2.68482	−	4.17766i	−0.460443	−	0.716463i
$35$	0.777892	+	1.21042i	0.131488	+	0.204599i
$36$	2.96497	−	0.457092i	0.494162	−	0.0761821i
$37$	−3.37806	−	11.5046i	−0.555350	−	1.89135i	−0.439935	−	0.898030i	$-0.644998\pi$
$37$	−3.37806	−	11.5046i	−0.555350	−	1.89135i	−0.115415	−	0.993317i	$-0.536820\pi$
$38$	1.22981	−	8.55353i	0.199502	−	1.38757i
$39$	2.24168	−	10.5629i	0.358956	−	1.69142i
$40$	−1.30881	−	0.597713i	−0.206941	−	0.0945067i
$41$	1.64576	−	5.60494i	0.257024	−	0.875344i	−0.725344	−	0.688387i	$-0.758319\pi$
$41$	1.64576	−	5.60494i	0.257024	−	0.875344i	0.982368	−	0.186957i	$-0.0598626\pi$
$42$	1.39183	+	1.03092i	0.214765	+	0.159075i
$43$	2.67569	−	0.384706i	0.408039	−	0.0586671i	0.0647605	−	0.997901i	$-0.479372\pi$
$43$	2.67569	−	0.384706i	0.408039	−	0.0586671i	0.343278	+	0.939234i	$0.388463\pi$
$44$	−3.77859	−	2.42835i	−0.569644	−	0.366088i
$45$	2.29666	−	3.65479i	0.342366	−	0.544825i
$46$	3.55436	−	3.21971i	0.524062	−	0.474720i
$47$			10.6326i			1.55093i	0.631393	+	0.775463i	$0.282484\pi$
$47$			10.6326i			1.55093i	−0.631393	+	0.775463i	$0.717516\pi$
$48$	−1.72824	−	0.114785i	−0.249450	−	0.0165678i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	2.66500	−	1.21707i	0.376888	−	0.172119i
$51$	−8.39539	+	1.87102i	−1.17559	+	0.261996i
$52$	−2.58982	+	5.67093i	−0.359144	+	0.786416i
$53$	4.26105	−	4.91752i	0.585301	−	0.675473i	−0.383435	−	0.923568i	$-0.625259\pi$
$53$	4.26105	−	4.91752i	0.585301	−	0.675473i	0.968736	+	0.248095i	$0.0798044\pi$
$54$	1.02702	−	5.09365i	0.139759	−	0.693158i
$55$	−6.20091	+	1.82075i	−0.836131	+	0.245510i
$56$	−0.654861	−	0.755750i	−0.0875094	−	0.100991i
$57$	−13.1729	−	7.10633i	−1.74480	−	0.941256i
$58$	1.17235	−	0.753422i	0.153937	−	0.0989291i
$59$	7.28307	−	6.31082i	0.948175	−	0.821598i	−0.0358995	−	0.999355i	$-0.511430\pi$
$59$	7.28307	−	6.31082i	0.948175	−	0.821598i	0.984074	+	0.177757i	$0.0568842\pi$
$60$	−1.75323	+	1.77113i	−0.226341	+	0.228652i
$61$	−3.62509	−	0.521210i	−0.464146	−	0.0667341i	−0.0937248	−	0.995598i	$-0.529877\pi$
$61$	−3.62509	−	0.521210i	−0.464146	−	0.0667341i	−0.370421	+	0.928864i	$0.620786\pi$
$62$	−1.48335	−	1.28533i	−0.188385	−	0.163237i
$63$	2.50715	−	1.64748i	0.315871	−	0.207563i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	3.72633	+	8.15952i	0.462194	+	1.01206i
$66$	−6.20422	+	4.69379i	−0.763687	+	0.577766i
$67$	−1.13903	+	1.77236i	−0.139154	+	0.216528i	−0.903835	−	0.427881i	$-0.859260\pi$
$67$	−1.13903	+	1.77236i	−0.139154	+	0.216528i	0.764681	+	0.644409i	$0.222897\pi$
$68$	4.96600			0.602216
$69$	−3.11283	−	7.70132i	−0.374740	−	0.927130i
$70$	−1.43883			−0.171973
$71$	−4.56458	+	7.10262i	−0.541716	+	0.842926i	−0.998921	−	0.0464350i	$-0.985214\pi$
$71$	−4.56458	+	7.10262i	−0.541716	+	0.842926i	0.457206	+	0.889361i	$0.348850\pi$
$72$	−1.21846	+	2.74142i	−0.143596	+	0.323079i
$73$	4.23611	+	9.27579i	0.495799	+	1.08565i	0.977812	+	0.209485i	$0.0671787\pi$
$73$	4.23611	+	9.27579i	0.495799	+	1.08565i	−0.482012	+	0.876164i	$0.660094\pi$
$74$	11.5046	+	3.37806i	1.33738	+	0.392691i
$75$	−0.387718	−	5.05966i	−0.0447699	−	0.584239i
$76$	6.53080	+	5.65897i	0.749134	+	0.649128i
$77$	−4.44590	−	0.639224i	−0.506658	−	0.0728464i
$78$	7.67413	+	7.59655i	0.868924	+	0.860140i
$79$	2.65120	−	2.29728i	0.298283	−	0.258464i	−0.492841	−	0.870119i	$-0.664042\pi$
$79$	2.65120	−	2.29728i	0.298283	−	0.258464i	0.791124	+	0.611656i	$0.209496\pi$
$80$	1.21042	−	0.777892i	0.135329	−	0.0869710i
$81$	−7.66859	−	4.71092i	−0.852065	−	0.523436i
$82$	3.82541	+	4.41476i	0.422446	+	0.487528i
$83$	6.36785	−	1.86977i	0.698963	−	0.205234i	0.0871018	−	0.996199i	$-0.472239\pi$
$83$	6.36785	−	1.86977i	0.698963	−	0.205234i	0.611861	+	0.790966i	$0.290421\pi$
$84$	−1.61975	+	0.613526i	−0.176729	+	0.0669412i
$85$	4.67914	−	5.40001i	0.507524	−	0.585714i
$86$	−1.12295	+	2.45892i	−0.121091	+	0.265152i
$87$	−0.525052	−	2.35594i	−0.0562915	−	0.252583i
$88$	4.08572	−	1.86589i	0.435540	−	0.198904i
$89$	0.0941349	+	0.654723i	0.00997828	+	0.0694005i	0.994202	−	0.107527i	$-0.0342932\pi$
$89$	0.0941349	+	0.654723i	0.00997828	+	0.0694005i	−0.984224	+	0.176928i	$0.943384\pi$
$90$	1.83294	+	3.90801i	0.193209	+	0.411940i
$91$			6.23431i			0.653533i
$92$	0.786956	+	4.73082i	0.0820458	+	0.493223i
$93$	−2.97543	+	1.64438i	−0.308538	+	0.170515i
$94$	−8.94473	−	5.74843i	−0.922578	−	0.592905i
$95$	12.3071	−	1.76949i	1.26268	−	0.181546i
$96$	1.03092	−	1.39183i	0.105218	−	0.142053i
$97$	−4.41422	+	15.0334i	−0.448196	+	1.52641i	0.357401	+	0.933951i	$0.383663\pi$
$97$	−4.41422	+	15.0334i	−0.448196	+	1.52641i	−0.805597	+	0.592464i	$0.798155\pi$
$98$	−0.909632	−	0.415415i	−0.0918867	−	0.0419633i
$99$	3.92747	+	12.8898i	0.394726	+	1.29547i
$100$	−0.416948	+	2.89994i	−0.0416948	+	0.289994i
$101$	0.135691	+	0.462122i	0.0135018	+	0.0459829i	0.965968	−	0.258660i	$-0.0832810\pi$
$101$	0.135691	+	0.462122i	0.0135018	+	0.0459829i	−0.952467	+	0.304643i	$0.901463\pi$
$102$	2.96489	−	8.07421i	0.293568	−	0.799466i
$103$	−10.3934	−	16.1725i	−1.02409	−	1.59352i	−0.782013	−	0.623263i	$-0.785807\pi$
$103$	−10.3934	−	16.1725i	−1.02409	−	1.59352i	−0.242080	−	0.970256i	$-0.577830\pi$
$104$	−3.37052	−	5.24463i	−0.330507	−	0.514279i
$105$	−0.859038	+	2.33940i	−0.0838335	+	0.228302i
$106$	1.83318	+	6.24324i	0.178054	+	0.606397i
$107$	−0.436387	+	3.03514i	−0.0421871	+	0.293418i	0.957795	+	0.287452i	$0.0928081\pi$
$107$	−0.436387	+	3.03514i	−0.0421871	+	0.293418i	−0.999982	+	0.00596589i	$0.998101\pi$
$108$	3.72980	+	3.61781i	0.358900	+	0.348124i
$109$	−7.15563	−	3.26787i	−0.685385	−	0.313005i	0.0421145	−	0.999113i	$-0.486591\pi$
$109$	−7.15563	−	3.26787i	−0.685385	−	0.313005i	−0.727500	+	0.686108i	$0.759318\pi$
$110$	1.82075	−	6.20091i	0.173602	−	0.591234i
$111$	12.3611	−	16.6885i	1.17326	−	1.58400i
$112$	0.989821	−	0.142315i	0.0935293	−	0.0134475i
$113$	1.45074	+	0.932331i	0.136474	+	0.0877064i	0.607096	−	0.794628i	$-0.292334\pi$
$113$	1.45074	+	0.932331i	0.136474	+	0.0877064i	−0.470622	+	0.882335i	$0.655971\pi$
$114$	13.1000	−	7.23980i	1.22693	−	0.678069i
$115$	5.88579	+	3.60182i	0.548852	+	0.335871i
$116$			1.39357i			0.129390i
$117$	16.9330	−	7.94192i	1.56545	−	0.734231i
$118$	1.37147	+	9.53879i	0.126254	+	0.878117i
$119$	4.51723	−	2.06295i	0.414094	−	0.189110i
$120$	−0.542105	−	2.43246i	−0.0494872	−	0.222052i
$121$	3.81129	−	8.34557i	0.346481	−	0.758688i
$122$	2.39834	−	2.76783i	0.217136	−	0.250588i
$123$	9.46186	−	3.58395i	0.853147	−	0.323154i
$124$	1.88325	−	0.552971i	0.169120	−	0.0496583i
$125$	7.47170	+	8.62280i	0.668289	+	0.771247i
$126$	0.0304801	+	2.99985i	0.00271538	+	0.267247i
$127$	4.95191	−	3.18240i	0.439411	−	0.282392i	−0.302172	−	0.953253i	$-0.597712\pi$
$127$	4.95191	−	3.18240i	0.439411	−	0.282392i	0.741583	+	0.670861i	$0.234075\pi$
$128$	−0.755750	+	0.654861i	−0.0667995	+	0.0578821i
$129$	3.32751	+	3.29388i	0.292971	+	0.290010i
$130$	−8.87883	−	1.27658i	−0.778725	−	0.111964i
$131$	−5.17064	−	4.48039i	−0.451761	−	0.391453i	0.399046	−	0.916931i	$-0.369341\pi$
$131$	−5.17064	−	4.48039i	−0.451761	−	0.391453i	−0.850808	+	0.525477i	$0.823887\pi$
$132$	−0.594412	−	7.75698i	−0.0517370	−	0.675158i
$133$	8.29144	+	2.43459i	0.718959	+	0.211106i
$134$	−0.875201	−	1.91642i	−0.0756058	−	0.165554i
$135$	7.44835	−	0.646946i	0.641052	−	0.0556803i
$136$	−2.68482	+	4.17766i	−0.230221	+	0.358232i
$137$	−13.3896			−1.14395			−0.571974	−	0.820272i	$-0.693822\pi$
$137$	−13.3896			−1.14395			−0.571974	+	0.820272i	$0.693822\pi$
$138$	8.16168	+	1.54497i	0.694769	+	0.131517i
$139$	−7.19913			−0.610622			−0.305311	−	0.952253i	$-0.598760\pi$
$139$	−7.19913			−0.610622			−0.305311	+	0.952253i	$0.598760\pi$
$140$	0.777892	−	1.21042i	0.0657439	−	0.102299i
$141$	−14.6867	+	11.1112i	−1.23684	+	0.935731i
$142$	−3.50731	−	7.67993i	−0.294327	−	0.644486i
$143$	−26.8679	−	7.88912i	−2.24680	−	0.659721i
$144$	−1.64748	−	2.50715i	−0.137290	−	0.208929i
$145$	1.51537	+	1.31307i	0.125844	+	0.109045i
$146$	−10.0935	−	1.45123i	−0.835345	−	0.120104i
$147$	−1.21851	+	1.23095i	−0.100501	+	0.101527i
$148$	−9.06167	+	7.85198i	−0.744865	+	0.645429i
$149$	−9.27406	+	5.96008i	−0.759761	+	0.488269i	−0.862261	−	0.506464i	$-0.830952\pi$
$149$	−9.27406	+	5.96008i	−0.759761	+	0.488269i	0.102500	+	0.994733i	$0.467316\pi$
$150$	4.46607	+	2.40929i	0.364653	+	0.196717i
$151$	6.19697	+	7.15169i	0.504303	+	0.581996i	0.949631	−	0.313371i	$-0.101458\pi$
$151$	6.19697	+	7.15169i	0.504303	+	0.581996i	−0.445328	+	0.895367i	$0.646913\pi$
$152$	−8.29144	+	2.43459i	−0.672525	+	0.197471i
$153$	−11.3577	−	9.64121i	−0.918215	−	0.779446i
$154$	2.94139	−	3.39454i	0.237024	−	0.273540i
$155$	1.17316	−	2.56887i	0.0942306	−	0.206336i
$156$	−10.5396	+	2.34888i	−0.843841	+	0.188061i
$157$	−7.37650	+	3.36874i	−0.588709	+	0.268854i	−0.687418	−	0.726262i	$-0.741256\pi$
$157$	−7.37650	+	3.36874i	−0.588709	+	0.268854i	0.0987091	+	0.995116i	$0.468529\pi$
$158$	0.499246	+	3.47233i	0.0397179	+	0.276244i
$159$	11.2453	+	0.746884i	0.891814	+	0.0592317i
$160$			1.43883i			0.113750i
$161$	2.68110	+	3.97640i	0.211300	+	0.313384i
$162$	8.10903	−	3.90431i	0.637106	−	0.306751i
$163$	3.02130	+	1.94167i	0.236647	+	0.152084i	0.653590	−	0.756849i	$-0.273262\pi$
$163$	3.02130	+	1.94167i	0.236647	+	0.152084i	−0.416943	+	0.908933i	$0.636899\pi$
$164$	−5.78210	+	0.831341i	−0.451506	+	0.0649168i
$165$	−8.99500	−	6.66254i	−0.700259	−	0.518678i
$166$	−1.86977	+	6.36785i	−0.145122	+	0.494241i
$167$	−19.3926	−	8.85630i	−1.50064	−	0.685321i	−0.515474	−	0.856905i	$-0.672384\pi$
$167$	−19.3926	−	8.85630i	−1.50064	−	0.685321i	−0.985169	+	0.171585i	$0.945111\pi$
$168$	0.359571	−	1.69432i	0.0277415	−	0.130719i
$169$	−3.68120	+	25.6033i	−0.283169	+	1.96948i
$170$	2.01305	+	6.85581i	0.154394	+	0.525817i
$171$	−3.94996	−	25.6218i	−0.302061	−	1.95935i
$172$	−1.46146	−	2.27408i	−0.111436	−	0.173397i
$173$	1.06322	+	1.65440i	0.0808348	+	0.125781i	0.879317	−	0.476237i	$-0.158000\pi$
$173$	1.06322	+	1.65440i	0.0808348	+	0.125781i	−0.798482	+	0.602019i	$0.794363\pi$
$174$	2.26581	+	0.832015i	0.171770	+	0.0630749i
$175$	0.825408	+	2.81108i	0.0623950	+	0.212498i
$176$	−0.639224	+	4.44590i	−0.0481834	+	0.335123i
$177$	16.3279	+	3.46515i	1.22728	+	0.260456i
$178$	−0.601681	−	0.274779i	−0.0450979	−	0.0205955i
$179$	−1.74706	+	5.94993i	−0.130581	+	0.444719i	−0.998662	−	0.0517034i	$-0.983535\pi$
$179$	−1.74706	+	5.94993i	−0.130581	+	0.444719i	0.868081	+	0.496422i	$0.165353\pi$
$180$	−4.27859	−	0.570861i	−0.318907	−	0.0425495i
$181$	5.28057	−	0.759231i	0.392501	−	0.0564332i	0.0567611	−	0.998388i	$-0.481923\pi$
$181$	5.28057	−	0.759231i	0.392501	−	0.0564332i	0.335740	+	0.941955i	$0.391014\pi$
$182$	−5.24463	−	3.37052i	−0.388758	−	0.249840i
$183$	−3.06832	−	5.55196i	−0.226817	−	0.410413i
$184$	−4.40528	−	1.89565i	−0.324762	−	0.139749i
$185$			17.2521i			1.26840i
$186$	0.225294	−	3.39211i	0.0165194	−	0.248722i
$187$	3.17439	+	22.0783i	0.232134	+	1.61453i
$188$	9.67177	−	4.41695i	0.705386	−	0.322139i
$189$	4.89564	+	1.74146i	0.356106	+	0.126673i
$190$	−5.16513	+	11.3101i	−0.374718	+	0.820518i
$191$	15.2106	−	17.5539i	1.10060	−	1.27016i	0.140627	−	0.990063i	$-0.455088\pi$
$191$	15.2106	−	17.5539i	1.10060	−	1.27016i	0.959972	−	0.280096i	$-0.0903663\pi$
$192$	0.613526	+	1.61975i	0.0442774	+	0.116895i
$193$	8.63363	−	2.53506i	0.621462	−	0.182478i	0.0441814	−	0.999024i	$-0.485932\pi$
$193$	8.63363	−	2.53506i	0.621462	−	0.182478i	0.577281	+	0.816546i	$0.304114\pi$
$194$	−10.2604	−	11.8412i	−0.736656	−	0.850146i
$195$	−7.37659	+	13.6739i	−0.528248	+	0.979209i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−5.53852	+	4.79915i	−0.394603	+	0.341926i	−0.829452	−	0.558578i	$-0.811347\pi$
$197$	−5.53852	+	4.79915i	−0.394603	+	0.341926i	0.434849	+	0.900503i	$0.356802\pi$
$198$	−12.9669	−	3.66475i	−0.921520	−	0.260443i
$199$	22.4693	+	3.23060i	1.59281	+	0.229011i	0.880915	−	0.473275i	$-0.156928\pi$
$199$	22.4693	+	3.23060i	1.59281	+	0.229011i	0.711894	+	0.702287i	$0.247837\pi$
$200$	−2.21416	−	1.91858i	−0.156565	−	0.135664i
$201$	−3.63844	+	0.278811i	−0.256636	+	0.0196658i
$202$	−0.462122	−	0.135691i	−0.0325148	−	0.00954721i
$203$	0.578911	+	1.26764i	0.0406316	+	0.0889707i
$204$	5.18952	+	6.85947i	0.363339	+	0.480259i
$205$	−4.54410	+	7.07076i	−0.317374	+	0.493843i
$206$	19.2242			1.33942
$207$	7.38480	−	12.3477i	0.513279	−	0.858222i
$208$	6.23431			0.432271
$209$	−20.9846	+	32.6527i	−1.45153	+	2.25863i
$210$	−1.50360	−	1.98744i	−0.103758	−	0.137147i
$211$	−6.92388	−	15.1612i	−0.476659	−	1.04374i	−0.983369	−	0.181621i	$-0.941865\pi$
$211$	−6.92388	−	15.1612i	−0.476659	−	1.04374i	0.506709	−	0.862117i	$-0.330862\pi$
$212$	−6.24324	−	1.83318i	−0.428787	−	0.125903i
$213$	−14.5808	+	1.11732i	−0.999059	+	0.0765573i
$214$	−2.31739	−	2.00803i	−0.158414	−	0.137266i
$215$	−3.84987	−	0.553528i	−0.262559	−	0.0377503i
$216$	−5.05998	+	1.18177i	−0.344288	+	0.0804094i
$217$	1.48335	−	1.28533i	0.100696	−	0.0872538i
$218$	6.61773	−	4.25296i	0.448209	−	0.288047i
$219$	−8.38575	+	15.5446i	−0.566657	+	1.05041i
$220$	4.23217	+	4.88418i	0.285333	+	0.329291i
$221$	29.7055	−	8.72231i	1.99821	−	0.586726i
$222$	7.35637	+	19.4213i	0.493727	+	1.30347i
$223$	−12.0727	+	13.9326i	−0.808447	+	0.932998i	−0.998813	−	0.0487154i	$-0.984487\pi$
$223$	−12.0727	+	13.9326i	−0.808447	+	0.932998i	0.190365	+	0.981713i	$0.439033\pi$
$224$	−0.415415	+	0.909632i	−0.0277561	+	0.0607773i
$225$	6.58367	−	5.82294i	0.438911	−	0.388196i
$226$	−1.56865	+	0.716380i	−0.104345	+	0.0476529i
$227$	−2.74516	−	19.0930i	−0.182203	−	1.26725i	−0.851540	−	0.524289i	$-0.824331\pi$
$227$	−2.74516	−	19.0930i	−0.182203	−	1.26725i	0.669338	−	0.742958i	$-0.266578\pi$
$228$	−0.991913	+	14.9346i	−0.0656910	+	0.989067i
$229$		−	16.2753i		−	1.07550i	−0.843104	−	0.537751i	$-0.819274\pi$
$229$		−	16.2753i		−	1.07550i	0.843104	−	0.537751i	$-0.180726\pi$
$230$	−6.21214	+	3.00415i	−0.409616	+	0.198088i
$231$	−3.76306	−	6.80907i	−0.247591	−	0.448004i
$232$	−1.17235	−	0.753422i	−0.0769684	−	0.0494646i
$233$	−4.43314	+	0.637389i	−0.290425	+	0.0417567i	−0.285987	−	0.958233i	$-0.592322\pi$
$233$	−4.43314	+	0.637389i	−0.290425	+	0.0417567i	−0.00443726	+	0.999990i	$0.501412\pi$
$234$	−2.47348	+	18.5386i	−0.161696	+	1.21191i
$235$	4.31010	−	14.6789i	0.281160	−	0.957544i
$236$	−8.76602	−	4.00331i	−0.570619	−	0.260593i
$237$	5.94373	+	1.26139i	0.386087	+	0.0819361i
$238$	−0.706735	+	4.91545i	−0.0458108	+	0.318621i
$239$	3.79471	+	12.9236i	0.245459	+	0.835957i	0.986397	+	0.164383i	$0.0525633\pi$
$239$	3.79471	+	12.9236i	0.245459	+	0.835957i	−0.740937	+	0.671574i	$0.765619\pi$
$240$	2.33940	+	0.859038i	0.151007	+	0.0554507i
$241$	1.76284	+	2.74304i	0.113555	+	0.176695i	0.893379	−	0.449304i	$-0.148328\pi$
$241$	1.76284	+	2.74304i	0.113555	+	0.176695i	−0.779824	+	0.625998i	$0.784692\pi$
$242$	4.96020	+	7.71822i	0.318854	+	0.496146i
$243$	−1.50661	−	15.5155i	−0.0966492	−	0.995319i
$244$	1.03181	+	3.51402i	0.0660548	+	0.224962i
$245$	0.204767	−	1.42419i	0.0130821	−	0.0909881i
$246$	−2.10046	+	9.89745i	−0.133920	+	0.631038i
$247$	49.0052	+	22.3799i	3.11813	+	1.42400i
$248$	−0.552971	+	1.88325i	−0.0351137	+	0.119586i
$249$	9.23716	+	6.84190i	0.585381	+	0.433588i
$250$	−11.2935	+	1.62376i	−0.714262	+	0.102695i
$251$	16.2723	+	10.4576i	1.02710	+	0.660077i	0.941764	−	0.336276i	$-0.109167\pi$
$251$	16.2723	+	10.4576i	1.02710	+	0.660077i	0.0853356	+	0.996352i	$0.472804\pi$
$252$	−2.54011	−	1.59620i	−0.160012	−	0.100551i
$253$	−20.5297	+	6.52279i	−1.29069	+	0.410084i
$254$			5.88635i			0.369342i
$255$	12.3487	+	0.820166i	0.773307	+	0.0513608i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	9.22035	−	4.21079i	0.575150	−	0.262662i	−0.106534	−	0.994309i	$-0.533975\pi$
$257$	9.22035	−	4.21079i	0.575150	−	0.262662i	0.681684	+	0.731647i	$0.261248\pi$
$258$	−4.56997	+	1.01848i	−0.284514	+	0.0634077i
$259$	−4.98095	+	10.9068i	−0.309501	+	0.677714i
$260$	5.87419	−	6.77917i	0.364302	−	0.420426i
$261$	2.70554	−	3.18723i	0.167469	−	0.197284i
$262$	6.56460	−	1.92754i	0.405562	−	0.119084i
$263$	−9.31138	−	10.7459i	−0.574165	−	0.662621i	0.392175	−	0.919891i	$-0.371723\pi$
$263$	−9.31138	−	10.7459i	−0.574165	−	0.662621i	−0.966340	+	0.257269i	$0.917177\pi$
$264$	6.84695	+	3.69369i	0.421400	+	0.227331i
$265$	−7.87600	+	5.06160i	−0.483819	+	0.310931i
$266$	−6.53080	+	5.65897i	−0.400429	+	0.346974i
$267$	−0.805988	+	0.814219i	−0.0493257	+	0.0498294i
$268$	2.08537	+	0.299830i	0.127384	+	0.0183151i
$269$	18.1204	+	15.7014i	1.10482	+	0.957332i	0.999312	−	0.0370863i	$-0.0118076\pi$
$269$	18.1204	+	15.7014i	1.10482	+	0.957332i	0.105508	+	0.994418i	$0.466353\pi$
$270$	−3.48264	+	6.61572i	−0.211947	+	0.402620i
$271$	−2.94702	−	0.865324i	−0.179019	−	0.0525647i	0.190995	−	0.981591i	$-0.438829\pi$
$271$	−2.94702	−	0.865324i	−0.179019	−	0.0525647i	−0.370013	+	0.929026i	$0.620647\pi$
$272$	−2.06295	−	4.51723i	−0.125085	−	0.273897i
$273$	−8.61137	+	6.51491i	−0.521184	+	0.394300i
$274$	7.23895	−	11.2640i	0.437321	−	0.680485i
$275$	−13.1594			−0.793540
$276$	−5.71225	+	6.03077i	−0.343837	+	0.363010i
$277$	−10.3912			−0.624349			−0.312174	−	0.950025i	$-0.601057\pi$
$277$	−10.3912			−0.624349			−0.312174	+	0.950025i	$0.601057\pi$
$278$	3.89214	−	6.05629i	0.233435	−	0.363232i
$279$	−5.38072	−	2.39152i	−0.322135	−	0.143177i
$280$	0.597713	+	1.30881i	0.0357202	+	0.0782163i
$281$	−8.34522	−	2.45038i	−0.497834	−	0.146177i	0.0231697	−	0.999732i	$-0.492624\pi$
$281$	−8.34522	−	2.45038i	−0.497834	−	0.146177i	−0.521004	+	0.853554i	$0.674442\pi$
$282$	−1.40710	−	18.3624i	−0.0837916	−	1.09346i
$283$	−4.29126	−	3.71839i	−0.255089	−	0.221036i	0.517923	−	0.855427i	$-0.326705\pi$
$283$	−4.29126	−	3.71839i	−0.255089	−	0.221036i	−0.773012	+	0.634392i	$0.781251\pi$
$284$	8.35696	+	1.20155i	0.495895	+	0.0712989i
$285$	15.3052	+	15.1505i	0.906603	+	0.897438i
$286$	21.1626	−	18.3375i	1.25137	−	1.08432i
$287$	−4.91423	+	3.15819i	−0.290078	+	0.186422i
$288$	2.99985	−	0.0304801i	0.176768	−	0.00179606i
$289$	−5.01697	−	5.78989i	−0.295116	−	0.340582i
$290$	−1.92390	+	0.564907i	−0.112975	+	0.0331725i
$291$	−25.3784	+	9.61279i	−1.48771	+	0.563512i
$292$	6.67781	−	7.70661i	0.390789	−	0.450995i
$293$	−4.71285	+	10.3197i	−0.275327	+	0.602883i	−0.995896	−	0.0905003i	$-0.971153\pi$
$293$	−4.71285	+	10.3197i	−0.275327	+	0.602883i	0.720569	+	0.693383i	$0.243881\pi$
$294$	−0.376767	−	1.69058i	−0.0219735	−	0.0985964i
$295$	−12.6128	+	5.76009i	−0.734348	+	0.335365i
$296$	−1.70640	−	11.8683i	−0.0991824	−	0.689829i
$297$	−13.7003	+	18.8949i	−0.794970	+	1.09640i
$298$		−	11.0241i		−	0.638609i
$299$	13.0166	+	26.9165i	0.752772	+	1.55662i
$300$	−4.44136	+	2.45454i	−0.256422	+	0.141713i
$301$	−2.27408	−	1.46146i	−0.131076	−	0.0842373i
$302$	−9.36672	+	1.34673i	−0.538994	+	0.0774957i
$303$	−0.496525	+	0.670351i	−0.0285246	+	0.0385107i
$304$	2.43459	−	8.29144i	0.139633	−	0.475547i
$305$	4.79334	+	2.18905i	0.274466	+	0.125344i
$306$	14.2511	−	4.34226i	0.814683	−	0.248231i
$307$	−2.35329	+	16.3675i	−0.134309	+	0.934142i	0.805537	+	0.592545i	$0.201877\pi$
$307$	−2.35329	+	16.3675i	−0.134309	+	0.934142i	−0.939847	+	0.341597i	$0.889032\pi$
$308$	1.26544	+	4.30968i	0.0721049	+	0.245567i
$309$	11.4776	−	31.2566i	0.652937	−	1.77813i
$310$	1.52681	+	2.37576i	0.0867169	+	0.134934i
$311$	16.7231	+	26.0217i	0.948280	+	1.47555i	0.878360	+	0.478000i	$0.158638\pi$
$311$	16.7231	+	26.0217i	0.948280	+	1.47555i	0.0699206	+	0.997553i	$0.477725\pi$
$312$	3.72212	−	10.1364i	0.210723	−	0.573858i
$313$	−3.59244	−	12.2347i	−0.203057	−	0.691548i	−0.996552	−	0.0829714i	$-0.973559\pi$
$313$	−3.59244	−	12.2347i	−0.203057	−	0.691548i	0.793495	−	0.608577i	$-0.208259\pi$
$314$	1.15408	−	8.02678i	0.0651284	−	0.452978i
$315$	−4.12908	+	1.25812i	−0.232647	+	0.0708868i
$316$	−3.19102	−	1.45729i	−0.179509	−	0.0819791i
$317$	−8.40792	+	28.6347i	−0.472236	+	1.60829i	0.287313	+	0.957837i	$0.407238\pi$
$317$	−8.40792	+	28.6347i	−0.472236	+	1.60829i	−0.759549	+	0.650451i	$0.774580\pi$
$318$	−6.70801	+	9.05639i	−0.376167	+	0.507857i
$319$	−6.19569	+	0.890805i	−0.346892	+	0.0498755i
$320$	−1.21042	−	0.777892i	−0.0676647	−	0.0434855i
$321$	−4.64842	+	2.56897i	−0.259450	+	0.143386i
$322$	−4.79467	+	0.105679i	−0.267196	+	0.00588928i
$323$		−	42.9136i		−	2.38778i
$324$	−1.09956	+	8.93258i	−0.0610866	+	0.496254i
$325$	2.59938	+	18.0791i	0.144188	+	1.00285i
$326$	−3.26688	+	1.49193i	−0.180936	+	0.0826305i
$327$	−2.96384	−	13.2989i	−0.163901	−	0.735433i
$328$	2.42667	−	5.31367i	0.133991	−	0.293398i
$329$	6.96288	−	8.03560i	0.383876	−	0.443017i
$330$	10.4679	−	3.96503i	0.576241	−	0.218268i
$331$	−32.4511	+	9.52850i	−1.78367	+	0.523734i	−0.995755	−	0.0920449i	$-0.970660\pi$
$331$	−32.4511	+	9.52850i	−1.78367	+	0.523734i	−0.787919	+	0.615779i	$0.788841\pi$
$332$	−4.34610	−	5.01567i	−0.238523	−	0.275271i
$333$	35.9691	−	0.365466i	1.97109	−	0.0200274i
$334$	17.9348	−	11.5260i	0.981349	−	0.630675i
$335$	2.29094	−	1.98511i	0.125168	−	0.108458i
$336$	1.23095	+	1.21851i	0.0671539	+	0.0664750i
$337$	−13.4860	−	1.93899i	−0.734627	−	0.105623i	−0.235160	−	0.971957i	$-0.575562\pi$
$337$	−13.4860	−	1.93899i	−0.734627	−	0.105623i	−0.499467	+	0.866333i	$0.666471\pi$
$338$	−19.5487	−	16.9390i	−1.06331	−	0.921361i
$339$	0.228216	+	2.97818i	0.0123950	+	0.161752i
$340$	−6.85581	−	2.01305i	−0.371808	−	0.109173i
$341$	3.66227	+	8.01926i	0.198323	+	0.434267i
$342$	23.6899	+	10.5293i	1.28100	+	0.569357i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	2.70321			0.145747
$345$	1.17556	+	11.8939i	0.0632901	+	0.640346i
$346$	−1.96658			−0.105724
$347$	−10.3724	+	16.1398i	−0.556822	+	0.866432i	−0.999543	−	0.0302274i	$-0.990377\pi$
$347$	−10.3724	+	16.1398i	−0.556822	+	0.866432i	0.442721	+	0.896659i	$0.354013\pi$
$348$	−1.92492	+	1.45630i	−0.103187	+	0.0780657i
$349$	5.30566	+	11.6178i	0.284006	+	0.621885i	0.996839	−	0.0794479i	$-0.0253157\pi$
$349$	5.30566	+	11.6178i	0.284006	+	0.621885i	−0.712833	+	0.701333i	$0.752588\pi$
$350$	−2.81108	−	0.825408i	−0.150259	−	0.0441199i
$351$	28.6652	+	15.0899i	1.53003	+	0.805439i
$352$	−3.39454	−	2.94139i	−0.180930	−	0.156776i
$353$	−14.1690	−	2.03720i	−0.754142	−	0.108429i	−0.245487	−	0.969400i	$-0.578948\pi$
$353$	−14.1690	−	2.03720i	−0.754142	−	0.108429i	−0.508655	+	0.860971i	$0.669857\pi$
$354$	−11.7426	+	11.8625i	−0.624113	+	0.630486i
$355$	9.18079	−	7.95520i	0.487266	−	0.422218i
$356$	0.556452	−	0.357610i	0.0294919	−	0.0189533i
$357$	7.57008	+	4.08379i	0.400651	+	0.216137i
$358$	−4.06087	−	4.68649i	−0.214624	−	0.247689i
$359$	−1.54332	+	0.453160i	−0.0814534	+	0.0239169i	−0.322205	−	0.946670i	$-0.604424\pi$
$359$	−1.54332	+	0.453160i	−0.0814534	+	0.0239169i	0.240752	+	0.970587i	$0.422606\pi$
$360$	2.79342	−	3.29074i	0.147226	−	0.173437i
$361$	36.4596	−	42.0766i	1.91892	−	2.21456i
$362$	−2.21618	+	4.85277i	−0.116480	+	0.255056i
$363$	15.5105	−	3.45671i	0.814089	−	0.181430i
$364$	5.67093	−	2.58982i	0.297237	−	0.135744i
$365$	−2.08807	−	14.5229i	−0.109295	−	0.760162i
$366$	6.32947	+	0.420385i	0.330847	+	0.0219739i
$367$		−	8.77493i		−	0.458048i	−0.973421	−	0.229024i	$-0.926447\pi$
$367$		−	8.77493i		−	0.458048i	0.973421	−	0.229024i	$-0.0735534\pi$
$368$	3.97640	−	2.68110i	0.207284	−	0.139762i
$369$	14.8382	+	9.32428i	0.772446	+	0.485403i
$370$	−14.5134	−	9.32717i	−0.754513	−	0.484896i
$371$	−6.44058	+	0.926016i	−0.334378	+	0.0480763i
$372$	2.73182	+	2.02344i	0.141638	+	0.104911i
$373$	5.78963	−	19.7177i	0.299776	−	1.02094i	−0.662544	−	0.749023i	$-0.730523\pi$
$373$	5.78963	−	19.7177i	0.299776	−	1.02094i	0.962320	−	0.271919i	$-0.0876584\pi$
$374$	−20.2897	−	9.26599i	−1.04915	−	0.479133i
$375$	−4.10256	+	19.3315i	−0.211856	+	0.998273i
$376$	−1.51318	+	10.5244i	−0.0780363	+	0.542754i
$377$	2.44768	+	8.33603i	0.126062	+	0.429327i
$378$	−4.11180	+	3.17697i	−0.211488	+	0.163406i
$379$	4.61119	+	7.17515i	0.236861	+	0.368563i	0.939252	−	0.343228i	$-0.111521\pi$
$379$	4.61119	+	7.17515i	0.236861	+	0.368563i	−0.702391	+	0.711791i	$0.747884\pi$
$380$	−6.72214	−	10.4599i	−0.344839	−	0.536579i
$381$	9.57061	+	3.51437i	0.490317	+	0.180047i
$382$	6.54386	+	22.2863i	0.334813	+	1.14027i
$383$	2.91887	−	20.3012i	0.149147	−	1.03734i	−0.768472	−	0.639883i	$-0.778983\pi$
$383$	2.91887	−	20.3012i	0.149147	−	1.03734i	0.917620	−	0.397460i	$-0.130108\pi$
$384$	−1.69432	−	0.359571i	−0.0864627	−	0.0183493i
$385$	5.87868	+	2.68470i	0.299605	+	0.136825i
$386$	−2.53506	+	8.63363i	−0.129031	+	0.439440i
$387$	−1.07250	+	8.03838i	−0.0545184	+	0.408614i
$388$	15.5086	−	2.22980i	0.787331	−	0.113201i
$389$	3.21705	+	2.06747i	0.163111	+	0.104825i	0.619650	−	0.784878i	$-0.287275\pi$
$389$	3.21705	+	2.06747i	0.163111	+	0.104825i	−0.456539	+	0.889704i	$0.650911\pi$
$390$	−7.51514	−	13.5983i	−0.380544	−	0.688574i
$391$	15.1958	−	18.3383i	0.768485	−	0.927408i
$392$			1.00000i			0.0505076i
$393$	0.785329	−	11.8242i	0.0396146	−	0.596452i
$394$	−1.04296	−	7.25392i	−0.0525434	−	0.365447i
$395$	−4.59135	+	2.09680i	−0.231016	+	0.105501i
$396$	10.0934	−	8.92717i	0.507215	−	0.448607i
$397$	3.13519	−	6.86511i	0.157351	−	0.344550i	−0.814494	−	0.580172i	$-0.802985\pi$
$397$	3.13519	−	6.86511i	0.157351	−	0.344550i	0.971845	+	0.235622i	$0.0757127\pi$
$398$	−14.8656	+	17.1558i	−0.745145	+	0.859943i
$399$	5.30178	+	13.9970i	0.265421	+	0.700728i
$400$	2.81108	−	0.825408i	0.140554	−	0.0412704i
$401$	−5.50484	−	6.35293i	−0.274899	−	0.317250i	0.601466	−	0.798899i	$-0.294584\pi$
$401$	−5.50484	−	6.35293i	−0.274899	−	0.317250i	−0.876364	+	0.481649i	$0.840038\pi$
$402$	1.73254	−	3.21158i	0.0864111	−	0.160179i
$403$	10.2939	−	6.61549i	0.512776	−	0.329541i
$404$	0.363993	−	0.315402i	0.0181093	−	0.0156918i
$405$	8.67722	+	9.61225i	0.431175	+	0.477637i
$406$	−1.37939	−	0.198326i	−0.0684578	−	0.00984275i
$407$	−40.7016	−	35.2681i	−2.01750	−	1.74818i
$408$	−8.57622	+	0.657190i	−0.424586	+	0.0325358i
$409$	−5.12536	−	1.50494i	−0.253433	−	0.0744145i	0.152549	−	0.988296i	$-0.451252\pi$
$409$	−5.12536	−	1.50494i	−0.253433	−	0.0744145i	−0.405981	+	0.913881i	$0.633070\pi$
$410$	−3.49158	−	7.64549i	−0.172437	−	0.377584i
$411$	−13.9922	−	18.4949i	−0.690186	−	0.912284i
$412$	−10.3934	+	16.1725i	−0.512046	+	0.796759i
$413$	−9.63688			−0.474200
$414$	6.39499	+	12.8881i	0.314297	+	0.633417i
$415$	−9.54908			−0.468746
$416$	−3.37052	+	5.24463i	−0.165253	+	0.257139i
$417$	−7.52316	−	9.94407i	−0.368411	−	0.486963i
$418$	−16.1240	−	35.3067i	−0.788652	−	1.72691i
$419$	33.2503	+	9.76316i	1.62438	+	0.476961i	0.962191	−	0.272375i	$-0.0878090\pi$
$419$	33.2503	+	9.76316i	1.62438	+	0.476961i	0.662190	+	0.749336i	$0.269627\pi$
$420$	2.48485	−	0.190412i	0.121248	−	0.00929117i
$421$	9.62857	+	8.34320i	0.469268	+	0.406623i	0.857135	−	0.515093i	$-0.172242\pi$
$421$	9.62857	+	8.34320i	0.469268	+	0.406623i	−0.387867	+	0.921715i	$0.626788\pi$
$422$	16.4977	+	2.37201i	0.803097	+	0.115468i
$423$	−30.6955	−	8.67524i	−1.49247	−	0.421805i
$424$	4.91752	−	4.26105i	0.238816	−	0.206935i
$425$	12.2395	−	7.86587i	0.593705	−	0.381551i
$426$	6.94302	−	12.8702i	0.336390	−	0.623563i
$427$	2.39834	+	2.76783i	0.116064	+	0.133945i
$428$	2.94214	−	0.863890i	0.142214	−	0.0417577i
$429$	−17.1800	−	45.3564i	−0.829461	−	2.18983i
$430$	2.54706	−	2.93946i	0.122830	−	0.141753i
$431$	13.4085	−	29.3606i	0.645867	−	1.41425i	−0.249258	−	0.968437i	$-0.580187\pi$
$431$	13.4085	−	29.3606i	0.645867	−	1.41425i	0.895125	−	0.445814i	$-0.147086\pi$
$432$	1.74146	−	4.89564i	0.0837862	−	0.235542i
$433$	−23.2054	+	10.5976i	−1.11518	+	0.509286i	−0.885808	−	0.464052i	$-0.846395\pi$
$433$	−23.2054	+	10.5976i	−1.11518	+	0.509286i	−0.229373	+	0.973339i	$0.573668\pi$
$434$	0.279329	+	1.94277i	0.0134082	+	0.0932561i
$435$	−0.230157	+	3.46533i	−0.0110352	+	0.166150i
$436$			7.86651i			0.376738i
$437$	40.8814	−	6.80047i	1.95562	−	0.325311i
$438$	−8.54325	−	15.4586i	−0.408212	−	0.738639i
$439$	−6.51215	−	4.18510i	−0.310808	−	0.199744i	0.375932	−	0.926647i	$-0.377323\pi$
$439$	−6.51215	−	4.18510i	−0.310808	−	0.199744i	−0.686740	+	0.726903i	$0.740959\pi$
$440$	−6.39692	+	0.919738i	−0.304961	+	0.0438468i
$441$	−2.97365	−	0.396753i	−0.141602	−	0.0188930i
$442$	−8.72231	+	29.7055i	−0.414878	+	1.41295i
$443$	22.4067	+	10.2328i	1.06457	+	0.486175i	0.869153	−	0.494544i	$-0.164665\pi$
$443$	22.4067	+	10.2328i	1.06457	+	0.486175i	0.195422	+	0.980719i	$0.437392\pi$
$444$	−20.3154	−	4.31137i	−0.964125	−	0.204609i
$445$	0.135444	−	0.942037i	0.00642068	−	0.0446568i
$446$	−5.19388	−	17.6887i	−0.245938	−	0.837586i
$447$	−17.9241	−	6.58180i	−0.847779	−	0.311309i
$448$	−0.540641	−	0.841254i	−0.0255429	−	0.0397455i
$449$	−2.77637	−	4.32011i	−0.131025	−	0.203879i	0.769542	−	0.638596i	$-0.220485\pi$
$449$	−2.77637	−	4.32011i	−0.131025	−	0.203879i	−0.900567	+	0.434718i	$0.856848\pi$
$450$	1.33917	+	8.68665i	0.0631291	+	0.409493i
$451$	−7.39212	−	25.1752i	−0.348081	−	1.18546i
$452$	0.245421	−	1.70694i	0.0115436	−	0.0802877i
$453$	−3.40264	+	16.0334i	−0.159870	+	0.753314i
$454$	17.5462	+	8.01308i	0.823484	+	0.376073i
$455$	2.52718	−	8.60678i	0.118476	−	0.403492i
$456$	−12.0275	−	8.90870i	−0.563240	−	0.417188i
$457$	−13.9651	+	2.00788i	−0.653259	+	0.0939245i	−0.460973	−	0.887414i	$-0.652499\pi$
$457$	−13.9651	+	2.00788i	−0.653259	+	0.0939245i	−0.192287	+	0.981339i	$0.561590\pi$
$458$	13.6917	+	8.79909i	0.639769	+	0.411155i
$459$	1.44838	−	25.7634i	0.0676047	−	1.20253i
$460$	0.831284	−	6.85015i	0.0387588	−	0.319390i
$461$			14.4729i			0.674070i	0.941492	+	0.337035i	$0.109424\pi$
$461$			14.4729i			0.674070i	−0.941492	+	0.337035i	$0.890576\pi$
$462$	7.76261	+	0.515571i	0.361150	+	0.0239865i
$463$	−1.86092	−	12.9430i	−0.0864842	−	0.601511i	−0.986265	−	0.165169i	$-0.947183\pi$
$463$	−1.86092	−	12.9430i	−0.0864842	−	0.601511i	0.899781	−	0.436342i	$-0.143726\pi$
$464$	1.26764	−	0.578911i	0.0588486	−	0.0268753i
$465$	4.77431	−	1.06402i	0.221403	−	0.0493426i
$466$	1.86053	−	4.07399i	0.0861874	−	0.188724i
$467$	20.3588	−	23.4953i	0.942091	−	1.08723i	−0.0539680	−	0.998543i	$-0.517187\pi$
$467$	20.3588	−	23.4953i	0.942091	−	1.08723i	0.996059	−	0.0886888i	$-0.0282677\pi$
$468$	−14.2584	−	12.1036i	−0.659096	−	0.559488i
$469$	2.02147	−	0.593557i	0.0933428	−	0.0274079i
$470$	10.0184	+	11.5619i	0.462116	+	0.533310i
$471$	−12.3617	−	6.66871i	−0.569598	−	0.307278i
$472$	8.10706	−	5.21009i	0.373158	−	0.239814i
$473$	9.17614	−	7.95117i	0.421919	−	0.365595i
$474$	−4.27457	+	4.31822i	−0.196338	+	0.198343i
$475$	25.0598	+	3.60305i	1.14982	+	0.165319i
$476$	−3.75305	−	3.25204i	−0.172021	−	0.149057i
$477$	10.7198	+	16.3136i	0.490828	+	0.746947i
$478$	−12.9236	−	3.79471i	−0.591111	−	0.173566i
$479$	−6.17140	−	13.5135i	−0.281978	−	0.617446i	0.714651	−	0.699481i	$-0.246585\pi$
$479$	−6.17140	−	13.5135i	−0.281978	−	0.617446i	−0.996629	+	0.0820347i	$0.973858\pi$
$480$	−1.98744	+	1.50360i	−0.0907139	+	0.0686294i
$481$	−40.4136	+	62.8848i	−1.84270	+	2.86730i
$482$	−3.26065			−0.148519
$483$	−2.69077	+	7.85874i	−0.122434	+	0.357585i
$484$	−9.17467			−0.417030
$485$	12.1881	−	18.9651i	0.553433	−	0.861159i
$486$	13.8670	+	7.12086i	0.629019	+	0.323009i
$487$	−16.0495	−	35.1435i	−0.727272	−	1.59250i	−0.803423	−	0.595408i	$-0.796990\pi$
$487$	−16.0495	−	35.1435i	−0.727272	−	1.59250i	0.0761510	−	0.997096i	$-0.475737\pi$
$488$	−3.51402	−	1.03181i	−0.159072	−	0.0467078i
$489$	0.475283	+	6.20235i	0.0214930	+	0.280480i
$490$	1.08740	+	0.942236i	0.0491236	+	0.0425659i
$491$	−12.3827	−	1.78037i	−0.558824	−	0.0803468i	−0.142885	−	0.989739i	$-0.545638\pi$
$491$	−12.3827	−	1.78037i	−0.558824	−	0.0803468i	−0.415939	+	0.909392i	$0.636547\pi$
$492$	−7.19067	−	7.11798i	−0.324181	−	0.320903i
$493$	5.23014	−	4.53195i	0.235554	−	0.204109i
$494$	−45.3214	+	29.1263i	−2.03911	+	1.31045i
$495$	−0.196984	−	19.3871i	−0.00885375	−	0.871385i
$496$	−1.28533	−	1.48335i	−0.0577130	−	0.0666043i
$497$	8.10090	−	2.37864i	0.363375	−	0.106697i
$498$	−10.7498	+	4.07178i	−0.481708	+	0.182461i
$499$	19.9550	−	23.0293i	0.893307	−	1.03093i	−0.106024	−	0.994364i	$-0.533812\pi$
$499$	19.9550	−	23.0293i	0.893307	−	1.03093i	0.999331	−	0.0365677i	$-0.0116425\pi$
$500$	4.73972	−	10.3785i	0.211967	−	0.464142i
$501$	−8.03235	−	36.0416i	−0.358859	−	1.61022i
$502$	−17.5950	+	8.03534i	−0.785301	+	0.358635i
$503$	−0.627503	−	4.36438i	−0.0279790	−	0.194598i	0.971038	−	0.238925i	$-0.0767949\pi$
$503$	−0.627503	−	4.36438i	−0.0279790	−	0.194598i	−0.999017	+	0.0443266i	$0.985886\pi$
$504$	2.71609	−	1.27391i	0.120984	−	0.0567443i
$505$		−	0.692988i		−	0.0308376i
$506$	5.61190	−	20.7972i	0.249479	−	0.924549i
$507$	−39.2124	+	21.6709i	−1.74148	+	0.962439i
$508$	−4.95191	−	3.18240i	−0.219706	−	0.141196i
$509$	−19.0916	+	2.74496i	−0.846222	+	0.121668i	−0.551768	−	0.833998i	$-0.686047\pi$
$509$	−19.0916	+	2.74496i	−0.846222	+	0.121668i	−0.294453	+	0.955666i	$0.595138\pi$
$510$	−7.36619	+	9.94499i	−0.326180	+	0.440371i
$511$	2.87291	−	9.78424i	0.127090	−	0.432829i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	31.2633	−	32.2310i	1.38031	−	1.42303i
$514$	−1.44255	+	10.0332i	−0.0636283	+	0.442545i
$515$	7.79285	+	26.5400i	0.343394	+	1.16949i
$516$	1.61392	−	4.39514i	0.0710487	−	0.193485i
$517$	25.8198	+	40.1763i	1.13555	+	1.76695i
$518$	−6.48245	−	10.0869i	−0.284822	−	0.443192i
$519$	−1.17413	+	3.19747i	−0.0515384	+	0.140353i
$520$	2.52718	+	8.60678i	0.110824	+	0.377432i
$521$	0.379965	−	2.64272i	0.0166466	−	0.115780i	−0.979804	−	0.199961i	$-0.935918\pi$
$521$	0.379965	−	2.64272i	0.0166466	−	0.115780i	0.996450	+	0.0841815i	$0.0268275\pi$
$522$	1.21854	+	3.99919i	0.0533340	+	0.175040i
$523$	−34.6992	−	15.8466i	−1.51729	−	0.692923i	−0.529442	−	0.848346i	$-0.677599\pi$
$523$	−34.6992	−	15.8466i	−1.51729	−	0.692923i	−0.987848	+	0.155423i	$0.950326\pi$
$524$	−1.92754	+	6.56460i	−0.0842050	+	0.286776i
$525$	−3.02035	+	4.07773i	−0.131819	+	0.177967i
$526$	14.0741	−	2.02356i	0.613662	−	0.0882313i
$527$	−8.19971	−	5.26964i	−0.357185	−	0.229549i
$528$	−6.80907	+	3.76306i	−0.296327	+	0.163766i
$529$	19.8779	+	11.5701i	0.864258	+	0.503050i
$530$		−	9.36222i		−	0.406669i
$531$	12.2765	+	26.1747i	0.532754	+	1.13588i
$532$	−1.22981	−	8.55353i	−0.0533191	−	0.370842i
$533$	−33.1270	+	15.1286i	−1.43489	+	0.655293i
$534$	−0.249215	−	1.11824i	−0.0107846	−	0.0483910i
$535$	1.83280	−	4.01326i	0.0792387	−	0.173508i
$536$	−1.37967	+	1.59222i	−0.0595926	+	0.0687735i
$537$	−10.0443	+	3.80455i	−0.433442	+	0.164178i
$538$	−23.0055	+	6.75502i	−0.991837	+	0.291230i
$539$	2.94139	+	3.39454i	0.126694	+	0.146213i
$540$	−3.68264	−	6.50651i	−0.158476	−	0.279996i
$541$	21.1429	−	13.5877i	0.909004	−	0.584181i	−0.000443565	−	1.00000i	$-0.500141\pi$
$541$	21.1429	−	13.5877i	0.909004	−	0.584181i	0.909448	+	0.415818i	$0.136505\pi$
$542$	2.32124	−	2.01136i	0.0997057	−	0.0863955i
$543$	6.56696	+	6.50057i	0.281815	+	0.278966i
$544$	4.91545	+	0.706735i	0.210748	+	0.0303010i
$545$	8.55403	+	7.41211i	0.366414	+	0.317500i
$546$	−0.825036	−	10.7666i	−0.0353083	−	0.460767i
$547$	6.25572	+	1.83685i	0.267475	+	0.0785379i	0.412720	−	0.910858i	$-0.364579\pi$
$547$	6.25572	+	1.83685i	0.267475	+	0.0785379i	−0.145245	+	0.989396i	$0.546397\pi$
$548$	5.56223	+	12.1796i	0.237607	+	0.520286i
$549$	4.46243	−	10.0401i	0.190452	−	0.428500i
$550$	7.11449	−	11.0704i	0.303363	−	0.472042i
$551$	12.0425			0.513029
$552$	−1.98513	−	8.06593i	−0.0844928	−	0.343309i
$553$	−3.50804			−0.149177
$554$	5.61793	−	8.74166i	0.238683	−	0.371398i
$555$	−23.8300	+	18.0286i	−1.01153	+	0.765270i
$556$	2.99063	+	6.54856i	0.126831	+	0.277721i
$557$	31.3372	+	9.20144i	1.32780	+	0.389877i	0.867302	−	0.497783i	$-0.165852\pi$
$557$	31.3372	+	9.20144i	1.32780	+	0.389877i	0.460499	+	0.887660i	$0.347671\pi$
$558$	4.92092	−	3.23359i	0.208319	−	0.136889i
$559$	−12.7364	−	11.0361i	−0.538690	−	0.466778i
$560$	−1.42419	−	0.204767i	−0.0601829	−	0.00865300i
$561$	−27.1793	+	27.4568i	−1.14751	+	1.15923i
$562$	6.57316	−	5.69567i	0.277272	−	0.240258i
$563$	−16.3181	+	10.4870i	−0.687726	+	0.441975i	−0.837277	−	0.546779i	$-0.815854\pi$
$563$	−16.3181	+	10.4870i	−0.687726	+	0.441975i	0.149551	+	0.988754i	$0.452217\pi$
$564$	16.2082	+	8.74374i	0.682487	+	0.368178i
$565$	−1.62488	−	1.87521i	−0.0683592	−	0.0788907i
$566$	5.44814	−	1.59972i	0.229002	−	0.0672412i
$567$	2.71053	+	8.58213i	0.113832	+	0.360416i
$568$	−5.52892	+	6.38072i	−0.231989	+	0.267729i
$569$	−4.48272	+	9.81579i	−0.187925	+	0.411499i	−0.980020	−	0.198899i	$-0.936263\pi$
$569$	−4.48272	+	9.81579i	−0.187925	+	0.411499i	0.792095	+	0.610398i	$0.208991\pi$
$570$	−21.0200	+	4.68459i	−0.880433	+	0.196216i
$571$	29.6396	−	13.5359i	1.24038	−	0.566461i	0.316297	−	0.948660i	$-0.397560\pi$
$571$	29.6396	−	13.5359i	1.24038	−	0.566461i	0.924080	+	0.382199i	$0.124833\pi$
$572$	3.98512	+	27.7171i	0.166626	+	1.15891i
$573$	40.1422	+	2.66613i	1.67697	+	0.111379i
$574$		−	5.84156i		−	0.243822i
$575$	9.43296	+	10.4134i	0.393382	+	0.434270i
$576$	−1.59620	+	2.54011i	−0.0665082	+	0.105838i
$577$	−21.8649	−	14.0517i	−0.910249	−	0.584982i	−0.000436036	−	1.00000i	$-0.500139\pi$
$577$	−21.8649	−	14.0517i	−0.910249	−	0.584982i	−0.909813	+	0.415018i	$0.863775\pi$
$578$	7.58314	−	1.09029i	0.315417	−	0.0453501i
$579$	12.5239	+	9.27635i	0.520474	+	0.385512i
$580$	0.564907	−	1.92390i	0.0234565	−	0.0798854i
$581$	−6.03694	−	2.75698i	−0.250454	−	0.114379i
$582$	5.63380	−	26.5467i	0.233529	−	1.10040i
$583$	4.15931	−	28.9286i	0.172261	−	1.19810i
$584$	2.87291	+	9.78424i	0.118882	+	0.404875i
$585$	−26.5962	+	4.10018i	−1.09962	+	0.169521i
$586$	−6.13352	−	9.54395i	−0.253373	−	0.394257i
$587$	−25.5754	−	39.7962i	−1.05561	−	1.64256i	−0.710026	−	0.704176i	$-0.751317\pi$
$587$	−25.5754	−	39.7962i	−1.05561	−	1.64256i	−0.345585	−	0.938387i	$-0.612320\pi$
$588$	1.62590	+	0.597038i	0.0670509	+	0.0246214i
$589$	−4.77849	−	16.2740i	−0.196894	−	0.670560i
$590$	1.97332	−	13.7247i	0.0812402	−	0.565038i
$591$	−12.4168	−	2.63512i	−0.510760	−	0.108394i
$592$	10.9068	+	4.98095i	0.448265	+	0.204716i
$593$	−3.32770	+	11.3331i	−0.136652	+	0.465394i	−0.999174	−	0.0406246i	$-0.987065\pi$
$593$	−3.32770	+	11.3331i	−0.136652	+	0.465394i	0.862522	+	0.506019i	$0.168883\pi$
$594$	−8.48851	−	21.7408i	−0.348288	−	0.892035i
$595$	−7.07251	+	1.01687i	−0.289945	+	0.0416878i
$596$	9.27406	+	5.96008i	0.379880	+	0.244134i
$597$	19.0183	+	34.4126i	0.778367	+	1.40841i
$598$	−29.6809	−	3.60186i	−1.21374	−	0.147291i
$599$			19.1662i			0.783111i	0.920155	+	0.391555i	$0.128063\pi$
$599$			19.1662i			0.783111i	−0.920155	+	0.391555i	$0.871937\pi$
$600$	0.336292	−	5.06333i	0.0137291	−	0.206710i
$601$	1.03625	+	7.20731i	0.0422697	+	0.293992i	0.999980	+	0.00625943i	$0.00199245\pi$
$601$	1.03625	+	7.20731i	0.0422697	+	0.293992i	−0.957711	+	0.287733i	$0.907098\pi$
$602$	2.45892	−	1.12295i	0.100218	−	0.0457681i
$603$	−4.18732	−	4.73437i	−0.170521	−	0.192798i
$604$	3.93109	−	8.60789i	0.159954	−	0.350250i
$605$	−8.64470	+	9.97651i	−0.351457	+	0.405603i
$606$	−0.295494	−	0.780123i	−0.0120036	−	0.0316903i
$607$	−28.2070	+	8.28232i	−1.14489	+	0.336169i	−0.798542	−	0.601939i	$-0.794395\pi$
$607$	−28.2070	+	8.28232i	−1.14489	+	0.336169i	−0.346344	+	0.938108i	$0.612577\pi$
$608$	5.65897	+	6.53080i	0.229502	+	0.264859i
$609$	−1.14600	+	2.12434i	−0.0464384	+	0.0860824i
$610$	−4.43302	+	2.84893i	−0.179488	+	0.115350i
$611$	50.0964	−	43.4088i	2.02668	−	1.75613i
$612$	−4.05180	+	14.3364i	−0.163784	+	0.579516i
$613$	7.87915	+	1.13285i	0.318236	+	0.0457554i	0.299582	−	0.954071i	$-0.403153\pi$
$613$	7.87915	+	1.13285i	0.318236	+	0.0457554i	0.0186539	+	0.999826i	$0.494062\pi$
$614$	−12.4969	−	10.8286i	−0.504335	−	0.437009i
$615$	−14.5154	+	1.11231i	−0.585317	+	0.0448525i
$616$	−4.30968	−	1.26544i	−0.173642	−	0.0509859i
$617$	6.94314	+	15.2034i	0.279520	+	0.612064i	0.996367	−	0.0851668i	$-0.0271423\pi$
$617$	6.94314	+	15.2034i	0.279520	+	0.612064i	−0.716846	+	0.697231i	$0.754415\pi$
$618$	20.0895	+	26.5542i	0.808119	+	1.06817i
$619$	8.68506	−	13.5142i	0.349082	−	0.543182i	−0.621666	−	0.783282i	$-0.713544\pi$
$619$	8.68506	−	13.5142i	0.349082	−	0.543182i	0.970748	+	0.240100i	$0.0771803\pi$
$620$	−2.82407			−0.113417
$621$	24.7729	−	2.70290i	0.994100	−	0.108464i
$622$	−30.9320			−1.24026
$623$	0.357610	−	0.556452i	0.0143273	−	0.0222938i
$624$	6.51491	+	8.61137i	0.260805	+	0.344731i
$625$	−0.734340	−	1.60798i	−0.0293736	−	0.0643192i
$626$	12.2347	+	3.59244i	0.488998	+	0.143583i
$627$	−67.0318	+	5.13661i	−2.67699	+	0.205136i
$628$	6.12862	+	5.31048i	0.244559	+	0.211911i
$629$	58.9378	+	8.47397i	2.35000	+	0.337879i
$630$	1.17396	−	4.15379i	0.0467716	−	0.165491i
$631$	1.92398	−	1.66713i	0.0765923	−	0.0663676i	−0.615723	−	0.787962i	$-0.711136\pi$
$631$	1.92398	−	1.66713i	0.0765923	−	0.0663676i	0.692316	+	0.721595i	$0.256591\pi$
$632$	2.95115	−	1.89659i	0.117390	−	0.0754423i
$633$	13.7064	−	25.4074i	0.544781	−	1.00986i
$634$	−19.5434	−	22.5543i	−0.776168	−	0.895746i
$635$	−8.12640	+	2.38613i	−0.322486	+	0.0946906i
$636$	−3.99210	−	10.5394i	−0.158297	−	0.417914i
$637$	4.08260	−	4.71158i	0.161759	−	0.186679i
$638$	2.60025	−	5.69375i	0.102945	−	0.225418i
$639$	−16.7804	−	18.9726i	−0.663822	−	0.750546i
$640$	1.30881	−	0.597713i	0.0517352	−	0.0236267i
$641$	4.26092	+	29.6354i	0.168296	+	1.17053i	0.882405	+	0.470491i	$0.155923\pi$
$641$	4.26092	+	29.6354i	0.168296	+	1.17053i	−0.714108	+	0.700035i	$0.753168\pi$
$642$	0.351970	−	5.29939i	0.0138912	−	0.209150i
$643$		−	28.6974i		−	1.13171i	−0.824503	−	0.565857i	$-0.808545\pi$
$643$		−	28.6974i		−	1.13171i	0.824503	−	0.565857i	$-0.191455\pi$
$644$	2.50329	−	4.09067i	0.0986434	−	0.161195i
$645$	−3.25857	−	5.89622i	−0.128306	−	0.232164i
$646$	36.1012	+	23.2008i	1.42038	+	0.912825i
$647$	−23.2240	+	3.33911i	−0.913031	+	0.131274i	−0.582790	−	0.812623i	$-0.698039\pi$
$647$	−23.2240	+	3.33911i	−0.913031	+	0.131274i	−0.330241	+	0.943897i	$0.607130\pi$
$648$	−6.92010	−	5.75433i	−0.271847	−	0.226051i
$649$	12.1949	−	41.5319i	0.478690	−	1.63027i
$650$	−16.6144	−	7.58756i	−0.651672	−	0.297609i
$651$	3.32552	+	0.705749i	0.130337	+	0.0276605i
$652$	0.511114	−	3.55487i	0.0200168	−	0.139220i
$653$	0.320880	+	1.09282i	0.0125570	+	0.0427652i	0.965533	−	0.260280i	$-0.0838149\pi$
$653$	0.320880	+	1.09282i	0.0125570	+	0.0427652i	−0.952976	+	0.303045i	$0.901997\pi$
$654$	12.7902	+	4.69661i	0.500135	+	0.183652i
$655$	5.32214	+	8.28141i	0.207953	+	0.323581i
$656$	3.15819	+	4.91423i	0.123306	+	0.191869i
$657$	−30.2347	+	4.66111i	−1.17957	+	0.181847i
$658$	2.99555	+	10.2019i	0.116779	+	0.397712i
$659$	4.30999	−	29.9766i	0.167893	−	1.16772i	−0.715336	−	0.698781i	$-0.753726\pi$
$659$	4.30999	−	29.9766i	0.167893	−	1.16772i	0.883229	−	0.468942i	$-0.155365\pi$
$660$	−2.32380	+	10.9499i	−0.0904538	+	0.426222i
$661$	−20.6151	−	9.41460i	−0.801835	−	0.366186i	−0.0280277	−	0.999607i	$-0.508923\pi$
$661$	−20.6151	−	9.41460i	−0.801835	−	0.366186i	−0.773807	+	0.633422i	$0.781650\pi$
$662$	9.52850	−	32.4511i	0.370336	−	1.26125i
$663$	43.0905	+	31.9169i	1.67350	+	1.23955i
$664$	6.56913	−	0.944499i	0.254932	−	0.0366537i
$665$	−10.4599	−	6.72214i	−0.405616	−	0.260674i
$666$	−19.1389	+	30.4567i	−0.741617	+	1.18017i
$667$	5.14614	+	4.26429i	0.199259	+	0.165114i
$668$			21.3192i			0.824863i
$669$	−31.8610	−	2.11612i	−1.23182	−	0.0818139i
$670$	0.431406	+	3.00050i	0.0166667	+	0.115919i
$671$	−14.9634	+	6.83357i	−0.577657	+	0.263807i
$672$	−1.69058	+	0.376767i	−0.0652154	+	0.0145341i
$673$	15.7762	−	34.5450i	0.608128	−	1.33161i	−0.315720	−	0.948852i	$-0.602246\pi$
$673$	15.7762	−	34.5450i	0.608128	−	1.33161i	0.923847	−	0.382761i	$-0.125027\pi$
$674$	8.92224	−	10.2968i	0.343672	−	0.396618i
$675$	14.9232	+	3.00891i	0.574392	+	0.115813i
$676$	24.8188	−	7.28746i	0.954570	−	0.280287i
$677$	4.86262	+	5.61177i	0.186886	+	0.215678i	0.841459	−	0.540321i	$-0.181697\pi$
$677$	4.86262	+	5.61177i	0.186886	+	0.215678i	−0.654573	+	0.755999i	$0.727152\pi$
$678$	−2.62879	−	1.41814i	−0.100958	−	0.0544632i
$679$	13.1809	−	8.47082i	0.505835	−	0.325080i
$680$	5.40001	−	4.67914i	0.207081	−	0.179437i
$681$	23.5042	−	23.7442i	0.900683	−	0.909881i
$682$	−8.72620	−	1.25464i	−0.334144	−	0.0480426i
$683$	1.51196	+	1.31012i	0.0578535	+	0.0501304i	0.683308	−	0.730131i	$-0.260541\pi$
$683$	1.51196	+	1.31012i	0.0578535	+	0.0501304i	−0.625454	+	0.780261i	$0.715086\pi$
$684$	−21.6655	+	14.2367i	−0.828402	+	0.544353i
$685$	18.4850	+	5.42768i	0.706275	+	0.207381i
$686$	0.415415	+	0.909632i	0.0158606	+	0.0347299i
$687$	22.4809	−	17.0079i	0.857698	−	0.648890i
$688$	−1.46146	+	2.27408i	−0.0557178	+	0.0866985i
$689$	−40.5655			−1.54542
$690$	−10.6413	−	5.44138i	−0.405109	−	0.207150i
$691$	19.6533			0.747646			0.373823	−	0.927500i	$-0.378047\pi$
$691$	19.6533			0.747646			0.373823	+	0.927500i	$0.378047\pi$
$692$	1.06322	−	1.65440i	0.0404174	−	0.0628907i
$693$	5.47284	−	12.3134i	0.207896	−	0.467748i
$694$	−7.96993	−	17.4517i	−0.302534	−	0.662458i
$695$	9.93876	+	2.91828i	0.376999	+	0.110697i
$696$	−0.184423	−	2.40668i	−0.00699052	−	0.0912250i
$697$	21.9237	+	18.9970i	0.830418	+	0.719561i
$698$	−12.6420	−	1.81764i	−0.478505	−	0.0687986i
$699$	−5.51309	−	5.45736i	−0.208524	−	0.206416i
$700$	2.21416	−	1.91858i	0.0836875	−	0.0725156i
$701$	8.25764	−	5.30686i	0.311887	−	0.200437i	−0.375328	−	0.926892i	$-0.622470\pi$
$701$	8.25764	−	5.30686i	0.311887	−	0.200437i	0.687214	+	0.726455i	$0.258833\pi$
$702$	−28.1920	+	15.9565i	−1.06404	+	0.602239i
$703$	67.8528	+	78.3063i	2.55912	+	2.95338i
$704$	4.30968	−	1.26544i	0.162427	−	0.0476929i
$705$	24.7798	−	9.38607i	0.933262	−	0.353500i
$706$	9.37416	−	10.8184i	0.352801	−	0.407154i
$707$	0.200077	−	0.438108i	0.00752467	−	0.0164767i
$708$	−3.63086	−	16.2919i	−0.136456	−	0.612286i
$709$	−17.8594	+	8.15612i	−0.670724	+	0.306309i	−0.721514	−	0.692400i	$-0.756553\pi$
$709$	−17.8594	+	8.15612i	−0.670724	+	0.306309i	0.0507899	+	0.998709i	$0.483826\pi$
$710$	1.72883	+	12.0243i	0.0648819	+	0.451263i
$711$	4.46891	+	9.52816i	0.167597	+	0.357334i
$712$			0.661455i			0.0247891i
$713$	3.72068	−	8.64648i	0.139341	−	0.323813i
$714$	−7.52819	+	4.16049i	−0.281736	+	0.155702i
$715$	33.8945	+	21.7827i	1.26758	+	0.814625i
$716$	6.13800	−	0.882511i	0.229388	−	0.0329810i
$717$	−13.8857	+	18.7468i	−0.518570	+	0.700114i
$718$	0.453160	−	1.54332i	0.0169118	−	0.0575963i
$719$	12.6834	+	5.79233i	0.473012	+	0.216017i	0.637634	−	0.770339i	$-0.279913\pi$
$719$	12.6834	+	5.79233i	0.473012	+	0.216017i	−0.164622	+	0.986357i	$0.552640\pi$
$720$	1.25812	+	4.12908i	0.0468872	+	0.153882i
$721$	−2.73589	+	19.0286i	−0.101890	+	0.708660i
$722$	15.6855	+	53.4200i	0.583755	+	1.98809i
$723$	−1.94673	+	5.30149i	−0.0723998	+	0.197165i
$724$	−2.88425	−	4.48798i	−0.107192	−	0.166794i
$725$	2.20734	+	3.43469i	0.0819787	+	0.127561i
$726$	−5.47762	+	14.9171i	−0.203294	+	0.553625i
$727$	−11.6590	−	39.7068i	−0.432408	−	1.47264i	−0.831392	−	0.555687i	$-0.812455\pi$
$727$	−11.6590	−	39.7068i	−0.432408	−	1.47264i	0.398984	−	0.916958i	$-0.369363\pi$
$728$	−0.887234	+	6.17085i	−0.0328831	+	0.228707i
$729$	19.8569	−	18.2949i	0.735441	−	0.677589i
$730$	13.3463	+	6.09506i	0.493969	+	0.225588i
$731$	−3.78201	+	12.8803i	−0.139883	+	0.476396i
$732$	−3.77562	+	5.09741i	−0.139551	+	0.188406i
$733$	−31.6995	+	4.55770i	−1.17085	+	0.168342i	−0.700178	−	0.713968i	$-0.746896\pi$
$733$	−31.6995	+	4.55770i	−1.17085	+	0.168342i	−0.470668	+	0.882310i	$0.655987\pi$
$734$	7.38194	+	4.74409i	0.272472	+	0.175107i
$735$	2.18120	−	1.20545i	0.0804547	−	0.0444636i
$736$	0.105679	+	4.79467i	0.00389540	+	0.176734i
$737$			9.46300i			0.348574i
$738$	−15.8662	+	7.44160i	−0.584044	+	0.273929i
$739$	−1.71600	−	11.9350i	−0.0631241	−	0.439038i	−0.996735	−	0.0807481i	$-0.974269\pi$
$739$	−1.71600	−	11.9350i	−0.0631241	−	0.439038i	0.933610	−	0.358290i	$-0.116640\pi$
$740$	15.6930	−	7.16676i	0.576887	−	0.263455i
$741$	20.2978	+	91.0775i	0.745659	+	3.34582i
$742$	2.70303	−	5.91880i	0.0992312	−	0.217286i
$743$	3.73196	−	4.30692i	0.136913	−	0.158005i	−0.683153	−	0.730276i	$-0.739392\pi$
$743$	3.73196	−	4.30692i	0.136913	−	0.158005i	0.820065	+	0.572270i	$0.193937\pi$
$744$	−3.17916	+	1.20420i	−0.116554	+	0.0441481i
$745$	15.2193	−	4.46880i	0.557593	−	0.163724i
$746$	13.4574	+	15.5307i	0.492712	+	0.568620i
$747$	0.202287	+	19.9090i	0.00740128	+	0.728433i
$748$	18.7645	−	12.0592i	0.686097	−	0.440928i
$749$	2.31739	−	2.00803i	0.0846756	−	0.0733718i
$750$	−14.0447	−	13.9027i	−0.512838	−	0.507654i
$751$	−28.4978	−	4.09737i	−1.03990	−	0.149515i	−0.398852	−	0.917015i	$-0.630591\pi$
$751$	−28.4978	−	4.09737i	−1.03990	−	0.149515i	−0.641049	+	0.767500i	$0.721500\pi$
$752$	−8.03560	−	6.96288i	−0.293028	−	0.253910i
$753$	2.55981	+	33.4050i	0.0932845	+	1.21735i
$754$	−8.33603	−	2.44768i	−0.303580	−	0.0891392i
$755$	−5.65618	−	12.3853i	−0.205850	−	0.450748i
$756$	−0.449632	−	5.17666i	−0.0163530	−	0.188273i
$757$	0.468889	−	0.729606i	0.0170421	−	0.0265180i	−0.832628	−	0.553833i	$-0.813165\pi$
$757$	0.468889	−	0.729606i	0.0170421	−	0.0265180i	0.849670	+	0.527315i	$0.176801\pi$
$758$	−8.52912			−0.309792
$759$	−30.4636	−	21.5411i	−1.10576	−	0.781892i
$760$	12.4337			0.451016
$761$	−22.7170	+	35.3483i	−0.823489	+	1.28137i	0.133442	+	0.991057i	$0.457397\pi$
$761$	−22.7170	+	35.3483i	−0.823489	+	1.28137i	−0.956931	+	0.290317i	$0.906239\pi$
$762$	−8.13074	+	6.15129i	−0.294546	+	0.222838i
$763$	3.26787	+	7.15563i	0.118305	+	0.259051i
$764$	−22.2863	−	6.54386i	−0.806291	−	0.236748i
$765$	11.7716	+	17.9142i	0.425605	+	0.647689i
$766$	15.5004	+	13.4312i	0.560052	+	0.485288i
$767$	−59.4678	−	8.55017i	−2.14726	−	0.308729i
$768$	1.21851	−	1.23095i	0.0439691	−	0.0444181i
$769$	7.75415	−	6.71901i	0.279622	−	0.242294i	−0.503746	−	0.863852i	$-0.668045\pi$
$769$	7.75415	−	6.71901i	0.279622	−	0.242294i	0.783368	+	0.621558i	$0.213500\pi$
$770$	−5.43677	+	3.49400i	−0.195927	+	0.125915i
$771$	15.4517	+	8.33563i	0.556478	+	0.300200i
$772$	−5.89251	−	6.80032i	−0.212076	−	0.244749i
$773$	−22.2023	+	6.51919i	−0.798562	+	0.234479i	−0.655461	−	0.755229i	$-0.727526\pi$
$773$	−22.2023	+	6.51919i	−0.798562	+	0.234479i	−0.143101	+	0.989708i	$0.545707\pi$
$774$	−6.18248	−	5.24813i	−0.222225	−	0.188640i
$775$	3.76570	−	4.34585i	0.135268	−	0.156108i
$776$	−6.50877	+	14.2522i	−0.233651	+	0.511625i
$777$	−20.2705	+	4.51755i	−0.727201	+	0.162066i
$778$	−3.47854	+	1.58860i	−0.124712	+	0.0569539i
$779$	7.18402	+	49.9659i	0.257394	+	1.79022i
$780$	15.5026	+	1.02964i	0.555081	+	0.0368669i
$781$			37.9223i			1.35697i
$782$	7.21168	+	22.6980i	0.257889	+	0.811677i
$783$	7.22979	+	0.406449i	0.258372	+	0.0145253i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	11.5492	−	1.66053i	0.412209	−	0.0592667i
$786$	9.52256	+	7.05330i	0.339659	+	0.251583i
$787$	0.583610	−	1.98759i	0.0208034	−	0.0708500i	−0.948437	−	0.316965i	$-0.897336\pi$
$787$	0.583610	−	1.98759i	0.0208034	−	0.0708500i	0.969241	+	0.246115i	$0.0791542\pi$
$788$	6.66625	+	3.04437i	0.237475	+	0.108451i
$789$	5.11270	−	24.0913i	0.182017	−	0.857672i
$790$	0.718332	−	4.99611i	0.0255571	−	0.177754i
$791$	−0.485846	−	1.65464i	−0.0172747	−	0.0588322i
$792$	2.05309	+	13.3175i	0.0729532	+	0.473218i
$793$	12.3441	+	19.2078i	0.438352	+	0.682089i
$794$	4.08028	+	6.34905i	0.144804	+	0.225319i
$795$	−15.2220	−	5.58960i	−0.539869	−	0.198243i
$796$	−6.39544	−	21.7809i	−0.226680	−	0.772002i
$797$	−3.25518	+	22.6403i	−0.115304	+	0.801960i	0.847313	+	0.531094i	$0.178219\pi$
$797$	−3.25518	+	22.6403i	−0.115304	+	0.801960i	−0.962617	+	0.270866i	$0.912690\pi$
$798$	−14.6414	−	3.10723i	−0.518300	−	0.109995i
$799$	−48.0300	−	21.9346i	−1.69918	−	0.775989i
$800$	−0.825408	+	2.81108i	−0.0291826	+	0.0993868i
$801$	−1.96694	−	0.262434i	−0.0694983	−	0.00927266i
$802$	8.32056	−	1.19632i	0.293809	−	0.0422434i
$803$	38.5314	+	24.7627i	1.35975	+	0.873855i
$804$	1.76508	+	3.19382i	0.0622495	+	0.112637i
$805$	−2.08949	−	6.57644i	−0.0736449	−	0.231789i
$806$			12.2364i			0.431009i
$807$	−2.75217	+	41.4376i	−0.0968809	+	1.45867i
$808$	0.0685434	+	0.476730i	0.00241135	+	0.0167713i
$809$	−6.58994	+	3.00953i	−0.231690	+	0.105809i	−0.527877	−	0.849321i	$-0.677012\pi$
$809$	−6.58994	+	3.00953i	−0.231690	+	0.105809i	0.296187	+	0.955130i	$0.404285\pi$
$810$	−12.7776	+	2.10297i	−0.448959	+	0.0738908i
$811$	9.38734	−	20.5554i	0.329634	−	0.721798i	−0.670157	−	0.742219i	$-0.733773\pi$
$811$	9.38734	−	20.5554i	0.329634	−	0.721798i	0.999791	+	0.0204210i	$0.00650065\pi$
$812$	0.912595	−	1.05319i	0.0320258	−	0.0369598i
$813$	−1.88441	−	4.97496i	−0.0660890	−	0.174479i
$814$	51.6744	−	15.1730i	1.81119	−	0.531812i
$815$	−3.38397	−	3.90531i	−0.118535	−	0.136797i
$816$	4.08379	−	7.57008i	0.142961	−	0.265006i
$817$	−19.6514	+	12.6292i	−0.687517	+	0.441840i
$818$	4.03701	−	3.49809i	0.141151	−	0.122308i
$819$	−17.9979	−	5.08662i	−0.628899	−	0.177741i
$820$	8.31948	+	1.19616i	0.290529	+	0.0417717i
$821$	−41.6724	−	36.1093i	−1.45438	−	1.26022i	−0.905518	−	0.424309i	$-0.860517\pi$
$821$	−41.6724	−	36.1093i	−1.45438	−	1.26022i	−0.548858	−	0.835915i	$-0.684937\pi$
$822$	23.1236	−	1.77195i	0.806529	−	0.0618039i
$823$	−20.2834	−	5.95575i	−0.707035	−	0.207604i	−0.0916048	−	0.995795i	$-0.529200\pi$
$823$	−20.2834	−	5.95575i	−0.707035	−	0.207604i	−0.615431	+	0.788191i	$0.711018\pi$
$824$	−7.98603	−	17.4870i	−0.278207	−	0.609188i
$825$	−13.7517	−	18.1769i	−0.478772	−	0.632837i
$826$	5.21009	−	8.10706i	0.181282	−	0.282081i
$827$	7.71440			0.268256			0.134128	−	0.990964i	$-0.457177\pi$
$827$	7.71440			0.268256			0.134128	+	0.990964i	$0.457177\pi$
$828$	−14.2996	−	1.58804i	−0.496945	−	0.0551883i
$829$	−9.33101			−0.324080			−0.162040	−	0.986784i	$-0.551807\pi$
$829$	−9.33101			−0.324080			−0.162040	+	0.986784i	$0.551807\pi$
$830$	5.16262	−	8.03320i	0.179197	−	0.278836i
$831$	−10.8589	−	14.3533i	−0.376693	−	0.497910i
$832$	−2.58982	−	5.67093i	−0.0897860	−	0.196604i
$833$	−4.76484	−	1.39908i	−0.165092	−	0.0484753i
$834$	12.4328	−	0.952719i	0.430513	−	0.0329900i
$835$	23.1824	+	20.0877i	0.802260	+	0.695162i
$836$	38.4192	+	5.52385i	1.32876	+	0.191046i
$837$	−2.31952	−	9.93149i	−0.0801745	−	0.343282i
$838$	−26.1897	+	22.6935i	−0.904709	+	0.783935i
$839$	31.0090	−	19.9283i	1.07055	−	0.688000i	0.118193	−	0.992991i	$-0.462290\pi$
$839$	31.0090	−	19.9283i	1.07055	−	0.688000i	0.952355	+	0.304991i	$0.0986534\pi$
$840$	−1.18323	+	2.19333i	−0.0408251	+	0.0756771i
$841$	−17.7192	−	20.4490i	−0.611007	−	0.705139i
$842$	−12.2243	+	3.58939i	−0.421279	+	0.123699i
$843$	−5.33616	−	14.0878i	−0.183787	−	0.485210i
$844$	−10.9148	+	12.5964i	−0.375703	+	0.433585i
$845$	15.4608	−	33.8544i	0.531868	−	1.16463i
$846$	23.8933	−	21.1325i	0.821469	−	0.726550i
$847$	−8.34557	+	3.81129i	−0.286757	+	0.130958i
$848$	0.926016	+	6.44058i	0.0317995	+	0.221170i
$849$	0.651766	−	9.81321i	0.0223685	−	0.336789i
$850$			14.5492i			0.499032i
$851$	1.26713	+	57.4895i	0.0434366	+	1.97072i
$852$	7.07342	+	12.7990i	0.242332	+	0.438486i
$853$	9.70581	+	6.23754i	0.332320	+	0.213569i	0.696150	−	0.717896i	$-0.254895\pi$
$853$	9.70581	+	6.23754i	0.332320	+	0.213569i	−0.363830	+	0.931465i	$0.618531\pi$
$854$	−3.62509	+	0.521210i	−0.124048	+	0.0178354i
$855$	−4.93309	+	36.9733i	−0.168708	+	1.26446i
$856$	−0.863890	+	2.94214i	−0.0295271	+	0.100560i
$857$	−18.8405	−	8.60415i	−0.643578	−	0.293912i	0.0667642	−	0.997769i	$-0.478732\pi$
$857$	−18.8405	−	8.60415i	−0.643578	−	0.293912i	−0.710342	+	0.703857i	$0.751460\pi$
$858$	47.4445	+	10.0688i	1.61973	+	0.343742i
$859$	−6.25813	+	43.5262i	−0.213525	+	1.48510i	0.547737	+	0.836651i	$0.315489\pi$
$859$	−6.25813	+	43.5262i	−0.213525	+	1.48510i	−0.761262	+	0.648445i	$0.775420\pi$
$860$	1.09579	+	3.73191i	0.0373661	+	0.127257i
$861$	−9.49778	−	3.48763i	−0.323684	−	0.118858i
$862$	17.4505	+	27.1535i	0.594367	+	0.924853i
$863$	3.20546	+	4.98779i	0.109115	+	0.169786i	0.891517	−	0.452988i	$-0.149642\pi$
$863$	3.20546	+	4.98779i	0.109115	+	0.169786i	−0.782402	+	0.622774i	$0.786006\pi$
$864$	3.17697	+	4.11180i	0.108083	+	0.139886i
$865$	−0.797187	−	2.71497i	−0.0271052	−	0.0923117i
$866$	3.63056	−	25.2511i	0.123372	−	0.858068i
$867$	2.75472	−	12.9804i	0.0935552	−	0.440836i
$868$	−1.78538	−	0.815356i	−0.0605998	−	0.0276750i
$869$	4.43920	−	15.1185i	0.150590	−	0.512861i
$870$	−2.79079	−	2.06712i	−0.0946166	−	0.0700819i
$871$	13.0008	−	1.86924i	0.440516	−	0.0633366i
$872$	−6.61773	−	4.25296i	−0.224105	−	0.144023i
$873$	−39.7987	−	25.0094i	−1.34698	−	0.846440i
$874$	−16.3812	+	38.0682i	−0.554103	+	1.28768i
$875$		−	11.4096i		−	0.385715i
$876$	17.6234	+	1.17050i	0.595440	+	0.0395474i
$877$	−2.25024	−	15.6507i	−0.0759851	−	0.528488i	−0.991891	−	0.127094i	$-0.959435\pi$
$877$	−2.25024	−	15.6507i	−0.0759851	−	0.528488i	0.915906	−	0.401394i	$-0.131474\pi$
$878$	7.04147	−	3.21573i	0.237638	−	0.108526i
$879$	−19.1794	+	4.27439i	−0.646906	+	0.144172i
$880$	2.68470	−	5.87868i	0.0905013	−	0.198170i
$881$	14.9481	−	17.2510i	0.503613	−	0.581201i	−0.445838	−	0.895113i	$-0.647094\pi$
$881$	14.9481	−	17.2510i	0.503613	−	0.581201i	0.949452	+	0.313913i	$0.101640\pi$
$882$	1.94145	−	2.28709i	0.0653719	−	0.0770104i
$883$	15.7595	−	4.62741i	0.530350	−	0.155725i	−0.00558446	−	0.999984i	$-0.501778\pi$
$883$	15.7595	−	4.62741i	0.530350	−	0.155725i	0.535934	+	0.844260i	$0.319959\pi$
$884$	−20.2742	−	23.3977i	−0.681895	−	0.786949i
$885$	−21.1369	−	11.4026i	−0.710508	−	0.383294i
$886$	−20.7224	+	13.3175i	−0.696181	+	0.447409i
$887$	−30.1383	+	26.1149i	−1.01194	+	0.876854i	−0.992412	−	0.122955i	$-0.960763\pi$
$887$	−30.1383	+	26.1149i	−1.01194	+	0.876854i	−0.0195312	+	0.999809i	$0.506217\pi$
$888$	14.6103	−	14.7595i	0.490289	−	0.495296i
$889$	−5.82643	−	0.837715i	−0.195412	−	0.0280961i
$890$	0.719265	+	0.623247i	0.0241098	+	0.0208913i
$891$	−40.4163	+	0.821388i	−1.35400	+	0.0275175i
$892$	17.6887	+	5.19388i	0.592263	+	0.173904i
$893$	−38.1690	−	83.5785i	−1.27728	−	2.79685i
$894$	15.2274	−	11.5203i	0.509282	−	0.385296i
$895$	4.82380	−	7.50598i	0.161242	−	0.250897i
$896$	1.00000			0.0334077
$897$	−23.5769	+	46.1077i	−0.787210	+	1.53949i
$898$	5.13533			0.171368
$899$	1.47878	−	2.30103i	0.0493201	−	0.0767435i
$900$	−8.03169	−	3.56978i	−0.267723	−	0.118993i
$901$	13.4232	+	29.3928i	0.447192	+	0.979215i
$902$	25.1752	+	7.39212i	0.838244	+	0.246131i
$903$	−0.357737	−	4.66840i	−0.0119047	−	0.155355i
$904$	1.30328	+	1.12930i	0.0433466	+	0.0375601i
$905$	−7.59786	−	1.09241i	−0.252561	−	0.0363128i
$906$	−11.6485	−	11.5308i	−0.386997	−	0.383085i
$907$	−39.1971	+	33.9644i	−1.30152	+	1.12777i	−0.317778	+	0.948165i	$0.602937\pi$
$907$	−39.1971	+	33.9644i	−1.30152	+	1.12777i	−0.983739	+	0.179606i	$0.942518\pi$
$908$	−16.2272	+	10.4286i	−0.538519	+	0.346085i
$909$	−1.44482	+	0.0146802i	−0.0479217	+	0.000486911i
$910$	5.87419	+	6.77917i	0.194727	+	0.224727i
$911$	20.0727	−	5.89386i	0.665037	−	0.195272i	0.0682451	−	0.997669i	$-0.478260\pi$
$911$	20.0727	−	5.89386i	0.665037	−	0.195272i	0.596792	+	0.802396i	$0.296442\pi$
$912$	13.9970	−	5.30178i	0.463488	−	0.175559i
$913$	19.5211	−	22.5285i	0.646053	−	0.745584i
$914$	5.86096	−	12.8337i	0.193863	−	0.424502i
$915$	1.98539	+	8.90856i	0.0656349	+	0.294508i
$916$	−14.8045	+	6.76100i	−0.489156	+	0.223390i
$917$	0.973681	+	6.77210i	0.0321538	+	0.223635i
$918$	20.8905	+	15.1472i	0.689489	+	0.499932i
$919$			30.3056i			0.999688i	0.866115	+	0.499844i	$0.166609\pi$
$919$			30.3056i			0.999688i	−0.866115	+	0.499844i	$0.833391\pi$
$920$	5.31329	+	4.40279i	0.175174	+	0.145156i
$921$	−25.0674	+	13.8536i	−0.825999	+	0.456492i
$922$	−12.1754	−	7.82464i	−0.400975	−	0.257691i
$923$	52.0999	−	7.49083i	1.71489	−	0.246564i
$924$	−4.63051	+	6.25159i	−0.152333	+	0.205662i
$925$	−9.89690	+	33.7057i	−0.325408	+	1.10824i
$926$	11.8944	+	5.43200i	0.390875	+	0.178506i
$927$	55.1686	−	16.8097i	1.81197	−	0.552102i
$928$	−0.198326	+	1.37939i	−0.00651037	+	0.0452806i
$929$	−1.18149	−	4.02377i	−0.0387633	−	0.132016i	0.937838	−	0.347073i	$-0.112824\pi$
$929$	−1.18149	−	4.02377i	−0.0387633	−	0.132016i	−0.976601	+	0.215057i	$0.931006\pi$
$930$	−1.68608	+	4.59166i	−0.0552887	+	0.150566i
$931$	−4.67194	−	7.26968i	−0.153117	−	0.238254i
$932$	2.42138	+	3.76774i	0.0793150	+	0.123417i
$933$	−18.4676	+	50.2923i	−0.604601	+	1.64650i
$934$	8.75870	+	29.8294i	0.286593	+	0.976047i
$935$	4.56741	−	31.7671i	0.149370	−	1.03889i
$936$	17.8909	−	5.45127i	0.584781	−	0.178180i
$937$	−26.5256	−	12.1138i	−0.866553	−	0.395741i	−0.0680138	−	0.997684i	$-0.521666\pi$
$937$	−26.5256	−	12.1138i	−0.866553	−	0.395741i	−0.798539	+	0.601943i	$0.794393\pi$
$938$	−0.593557	+	2.02147i	−0.0193803	+	0.0660033i
$939$	13.1455	−	17.7476i	0.428989	−	0.579171i
$940$	−15.1428	+	2.17721i	−0.493905	+	0.0710129i
$941$	−42.8532	−	27.5401i	−1.39697	−	0.897781i	−0.397174	−	0.917744i	$-0.630009\pi$
$941$	−42.8532	−	27.5401i	−1.39697	−	0.897781i	−0.999801	+	0.0199626i	$0.993645\pi$
$942$	12.2933	−	6.79396i	0.400538	−	0.221359i
$943$	−14.6231	+	23.8959i	−0.476194	+	0.778156i
$944$			9.63688i			0.313654i
$945$	−6.05275	−	4.38871i	−0.196896	−	0.142765i
$946$	1.72795	+	12.0182i	0.0561807	+	0.390745i
$947$	36.7712	−	16.7929i	1.19490	−	0.545695i	0.284205	−	0.958764i	$-0.408270\pi$
$947$	36.7712	−	16.7929i	1.19490	−	0.545695i	0.910700	+	0.413069i	$0.135543\pi$
$948$	−1.32171	−	5.93061i	−0.0429273	−	0.192617i
$949$	26.4092	−	57.8281i	0.857280	−	1.87718i
$950$	−16.5794	+	19.1337i	−0.537907	+	0.620778i
$951$	−48.3392	+	18.3098i	−1.56750	+	0.593737i
$952$	4.76484	−	1.39908i	0.154429	−	0.0453445i
$953$	−3.66254	−	4.22680i	−0.118641	−	0.136919i	0.693322	−	0.720628i	$-0.256146\pi$
$953$	−3.66254	−	4.22680i	−0.118641	−	0.136919i	−0.811963	+	0.583709i	$0.801601\pi$
$954$	−19.5194	+	0.198328i	−0.631965	+	0.00642111i
$955$	−28.1147	+	18.0683i	−0.909772	+	0.584675i
$956$	10.1793	−	8.82044i	0.329223	−	0.285273i
$957$	−7.70501	−	7.62712i	−0.249068	−	0.246550i
$958$	14.7048	+	2.11423i	0.475089	+	0.0683075i
$959$	10.1192	+	8.76831i	0.326765	+	0.283143i
$960$	−0.190412	−	2.48485i	−0.00614553	−	0.0801981i
$961$	26.0479	+	7.64836i	0.840256	+	0.246721i
$962$	−31.0528	−	67.9961i	−1.00118	−	2.19228i
$963$	−8.40614	−	3.73621i	−0.270884	−	0.120398i
$964$	1.76284	−	2.74304i	0.0567773	−	0.0883473i
$965$	−12.9468			−0.416772
$966$	−5.15645	−	6.51238i	−0.165906	−	0.209532i
$967$	52.1063			1.67562			0.837812	−	0.545959i	$-0.183834\pi$
$967$	52.1063			1.67562			0.837812	+	0.545959i	$0.183834\pi$
$968$	4.96020	−	7.71822i	0.159427	−	0.248073i
$969$	59.2760	−	44.8451i	1.90422	−	1.44063i
$970$	9.36503	+	20.5066i	0.300693	+	0.658426i
$971$	−17.5167	−	5.14336i	−0.562136	−	0.165058i	−0.0116945	−	0.999932i	$-0.503723\pi$
$971$	−17.5167	−	5.14336i	−0.562136	−	0.165058i	−0.550442	+	0.834873i	$0.685541\pi$
$972$	−13.4875	+	7.81583i	−0.432612	+	0.250693i
$973$	5.44074	+	4.71443i	0.174422	+	0.151138i
$974$	38.2416	+	5.49831i	1.22534	+	0.176177i
$975$	−22.2560	+	22.4833i	−0.712764	+	0.720043i
$976$	2.76783	−	2.39834i	0.0885962	−	0.0767691i
$977$	10.1321	−	6.51152i	0.324156	−	0.208322i	−0.368434	−	0.929654i	$-0.620106\pi$
$977$	10.1321	−	6.51152i	0.324156	−	0.208322i	0.692590	+	0.721332i	$0.256470\pi$
$978$	−5.47471	−	2.95341i	−0.175062	−	0.0944397i
$979$	1.94560	+	2.24534i	0.0621815	+	0.0717613i
$980$	−1.38055	+	0.405366i	−0.0441001	+	0.0129489i
$981$	15.2724	−	17.9914i	0.487610	−	0.574423i
$982$	8.19234	−	9.45447i	0.261428	−	0.301704i
$983$	−0.778465	+	1.70460i	−0.0248292	+	0.0543683i	−0.921640	−	0.388045i	$-0.873150\pi$
$983$	−0.778465	+	1.70460i	−0.0248292	+	0.0543683i	0.896811	+	0.442414i	$0.145878\pi$
$984$	9.87560	−	2.20091i	0.314823	−	0.0701623i
$985$	9.59162	−	4.38035i	0.305614	−	0.139569i
$986$	0.984886	+	6.85003i	0.0313652	+	0.218149i
$987$	18.3757	+	1.22046i	0.584906	+	0.0388478i
$988$		−	53.8737i		−	1.71395i
$989$	−12.8697	−	1.56177i	−0.409233	−	0.0496615i
$990$	16.4160	+	10.3157i	0.521733	+	0.327856i
$991$	−1.88052	−	1.20854i	−0.0597367	−	0.0383905i	0.510432	−	0.859918i	$-0.329486\pi$
$991$	−1.88052	−	1.20854i	−0.0597367	−	0.0383905i	−0.570168	+	0.821528i	$0.693122\pi$
$992$	1.94277	−	0.279329i	0.0616831	−	0.00886869i
$993$	−47.0733	−	34.8669i	−1.49383	−	1.10647i
$994$	−2.37864	+	8.10090i	−0.0754459	+	0.256945i
$995$	−29.7105	−	13.5683i	−0.941885	−	0.430145i
$996$	2.38636	−	11.2446i	0.0756147	−	0.356300i
$997$	−1.32455	+	9.21243i	−0.0419488	+	0.291760i	0.958038	+	0.286641i	$0.0925387\pi$
$997$	−1.32455	+	9.21243i	−0.0419488	+	0.291760i	−0.999987	+	0.00511950i	$0.998370\pi$
$998$	8.58498	+	29.2377i	0.271753	+	0.925505i
$999$	38.0928	+	49.3017i	1.20520	+	1.55984i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.a.113.10	✓	240
3.2	odd	2		966.2.r.b.113.17	yes	240
23.11	odd	22		966.2.r.b.701.17	yes	240
69.11	even	22	inner	966.2.r.a.701.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.10	✓	240	1.1	even	1	trivial
966.2.r.a.701.10	yes	240	69.11	even	22	inner
966.2.r.b.113.17	yes	240	3.2	odd	2
966.2.r.b.701.17	yes	240	23.11	odd	22

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(1.04501 + 1.38129i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.38055 - 0.405366i) q^{5} +(-1.72699 + 0.132338i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-0.815909 + 2.88692i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(1.04501 + 1.38129i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.38055 - 0.405366i) q^{5} +(-1.72699 + 0.132338i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-0.815909 + 2.88692i) q^{9} +(1.08740 - 0.942236i) q^{10} +(3.77859 - 2.42835i) q^{11} +(0.822350 - 1.52438i) q^{12} +(-4.08260 - 4.71158i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-0.882762 - 2.33055i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.06295 + 4.51723i) q^{17} +(-1.98752 - 2.24717i) q^{18} +(-7.86057 + 3.58980i) q^{19} +(0.204767 + 1.42419i) q^{20} +(0.114785 - 1.72824i) q^{21} +4.49162i q^{22} +(-4.63022 - 1.24942i) q^{23} +(0.837796 + 1.51595i) q^{24} +(-2.46467 - 1.58395i) q^{25} +(6.17085 - 0.887234i) q^{26} +(-4.84029 + 1.88985i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-1.26764 - 0.578911i) q^{29} +(2.43784 + 0.517363i) q^{30} +(-0.279329 + 1.94277i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(7.30292 + 2.68167i) q^{33} +(-2.68482 - 4.17766i) q^{34} +(0.777892 + 1.21042i) q^{35} +(2.96497 - 0.457092i) q^{36} +(-3.37806 - 11.5046i) q^{37} +(1.22981 - 8.55353i) q^{38} +(2.24168 - 10.5629i) q^{39} +(-1.30881 - 0.597713i) q^{40} +(1.64576 - 5.60494i) q^{41} +(1.39183 + 1.03092i) q^{42} +(2.67569 - 0.384706i) q^{43} +(-3.77859 - 2.42835i) q^{44} +(2.29666 - 3.65479i) q^{45} +(3.55436 - 3.21971i) q^{46} +10.6326i q^{47} +(-1.72824 - 0.114785i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.66500 - 1.21707i) q^{50} +(-8.39539 + 1.87102i) q^{51} +(-2.58982 + 5.67093i) q^{52} +(4.26105 - 4.91752i) q^{53} +(1.02702 - 5.09365i) q^{54} +(-6.20091 + 1.82075i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(-13.1729 - 7.10633i) q^{57} +(1.17235 - 0.753422i) q^{58} +(7.28307 - 6.31082i) q^{59} +(-1.75323 + 1.77113i) q^{60} +(-3.62509 - 0.521210i) q^{61} +(-1.48335 - 1.28533i) q^{62} +(2.50715 - 1.64748i) q^{63} +(0.959493 + 0.281733i) q^{64} +(3.72633 + 8.15952i) q^{65} +(-6.20422 + 4.69379i) q^{66} +(-1.13903 + 1.77236i) q^{67} +4.96600 q^{68} +(-3.11283 - 7.70132i) q^{69} -1.43883 q^{70} +(-4.56458 + 7.10262i) q^{71} +(-1.21846 + 2.74142i) q^{72} +(4.23611 + 9.27579i) q^{73} +(11.5046 + 3.37806i) q^{74} +(-0.387718 - 5.05966i) q^{75} +(6.53080 + 5.65897i) q^{76} +(-4.44590 - 0.639224i) q^{77} +(7.67413 + 7.59655i) q^{78} +(2.65120 - 2.29728i) q^{79} +(1.21042 - 0.777892i) q^{80} +(-7.66859 - 4.71092i) q^{81} +(3.82541 + 4.41476i) q^{82} +(6.36785 - 1.86977i) q^{83} +(-1.61975 + 0.613526i) q^{84} +(4.67914 - 5.40001i) q^{85} +(-1.12295 + 2.45892i) q^{86} +(-0.525052 - 2.35594i) q^{87} +(4.08572 - 1.86589i) q^{88} +(0.0941349 + 0.654723i) q^{89} +(1.83294 + 3.90801i) q^{90} +6.23431i q^{91} +(0.786956 + 4.73082i) q^{92} +(-2.97543 + 1.64438i) q^{93} +(-8.94473 - 5.74843i) q^{94} +(12.3071 - 1.76949i) q^{95} +(1.03092 - 1.39183i) q^{96} +(-4.41422 + 15.0334i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(3.92747 + 12.8898i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 + 154 * q^41 + 4 * q^42 + 22 * q^43 + 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 + 88 * q^50 + 24 * q^51 + 8 * q^52 - 108 * q^53 + 12 * q^54 - 16 * q^55 - 24 * q^56 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * q^66 - 44 * q^67 - 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 - 16 * q^74 - 26 * q^75 - 78 * q^78 - 4 * q^80 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * q^87 + 24 * q^89 + 126 * q^90 + 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 + 172 * q^99

Introduction

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