LMFDB - Embedded newform 966.2.be.b.523.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			523.7
Character	$\chi$	$=$	966.523
Dual form			966.2.be.b.157.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.580057 + 0.814576i) q^{2} +(-0.971812 + 0.235759i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.121677 + 2.55432i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(2.01215 + 1.71792i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.888835 - 0.458227i) q^{9} +O(q^{10})$	\(q+(0.580057 + 0.814576i) q^{2} +(-0.971812 + 0.235759i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.121677 + 2.55432i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(2.01215 + 1.71792i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.888835 - 0.458227i) q^{9} +(-2.01011 + 1.58077i) q^{10} +(4.33977 + 3.09033i) q^{11} +(0.0950560 - 0.995472i) q^{12} +(6.62699 - 0.952817i) q^{13} +(-0.232215 + 2.63554i) q^{14} +(-0.720452 - 2.45363i) q^{15} +(-0.786053 - 0.618159i) q^{16} +(-6.15869 - 1.18699i) q^{17} +(0.888835 + 0.458227i) q^{18} +(4.02830 - 0.776391i) q^{19} +(-2.45363 - 0.720452i) q^{20} +(-2.36045 - 1.19511i) q^{21} +5.32764i q^{22} +(-0.545375 - 4.76472i) q^{23} +(0.866025 - 0.500000i) q^{24} +(-1.53240 + 0.146326i) q^{25} +(4.62017 + 4.84550i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(-2.28155 + 1.33961i) q^{28} +(-0.547576 + 0.631936i) q^{29} +(1.58077 - 2.01011i) q^{30} +(-4.89314 + 5.13178i) q^{31} +(0.0475819 - 0.998867i) q^{32} +(-4.94601 - 1.98008i) q^{33} +(-2.60550 - 5.70525i) q^{34} +(-4.14329 + 5.34871i) q^{35} +(0.142315 + 0.989821i) q^{36} +(1.00991 + 1.95895i) q^{37} +(2.96907 + 2.83100i) q^{38} +(-6.21555 + 2.48833i) q^{39} +(-0.836384 - 2.41657i) q^{40} +(-4.50876 - 7.01577i) q^{41} +(-0.395683 - 2.61600i) q^{42} +(-1.39918 + 4.76518i) q^{43} +(-4.33977 + 3.09033i) q^{44} +(1.27861 + 2.21462i) q^{45} +(3.56488 - 3.20806i) q^{46} +(-1.06414 - 0.614379i) q^{47} +(0.909632 + 0.415415i) q^{48} +(1.09750 + 6.91343i) q^{49} +(-1.00807 - 1.16338i) q^{50} +(6.26493 - 0.298436i) q^{51} +(-1.26706 + 6.57415i) q^{52} +(4.36715 + 10.9086i) q^{53} +(-0.971812 - 0.235759i) q^{54} +(-7.36566 + 11.4612i) q^{55} +(-2.41464 - 1.08144i) q^{56} +(-3.73170 + 1.70421i) q^{57} +(-0.832386 - 0.0794832i) q^{58} +(-7.30028 - 9.28307i) q^{59} +(2.55432 + 0.121677i) q^{60} +(0.817878 - 3.37134i) q^{61} +(-7.01852 - 1.00911i) q^{62} +(2.57567 + 0.604928i) q^{63} +(0.841254 - 0.540641i) q^{64} +(3.24016 + 16.8115i) q^{65} +(-1.25604 - 5.17746i) q^{66} +(-1.14679 - 12.0097i) q^{67} +(3.13602 - 5.43174i) q^{68} +(1.65333 + 4.50183i) q^{69} +(-6.76028 - 0.272466i) q^{70} +(4.65198 - 10.1864i) q^{71} +(-0.723734 + 0.690079i) q^{72} +(-1.96900 - 0.681477i) q^{73} +(-1.00991 + 1.95895i) q^{74} +(1.45470 - 0.503478i) q^{75} +(-0.583837 + 4.06068i) q^{76} +(3.42332 + 13.6736i) q^{77} +(-5.63231 - 3.61966i) q^{78} +(5.27602 - 13.1789i) q^{79} +(1.48333 - 2.08305i) q^{80} +(0.580057 - 0.814576i) q^{81} +(3.09954 - 7.74227i) q^{82} +(-4.42162 - 2.84160i) q^{83} +(1.90141 - 1.83974i) q^{84} +(2.28258 - 15.8757i) q^{85} +(-4.69321 + 1.62433i) q^{86} +(0.383156 - 0.743219i) q^{87} +(-5.03462 - 1.74250i) q^{88} +(-3.43565 + 3.27588i) q^{89} +(-1.06231 + 2.32613i) q^{90} +(14.9714 + 9.46743i) q^{91} +(4.68104 + 1.04301i) q^{92} +(3.54535 - 6.14072i) q^{93} +(-0.116801 - 1.22319i) q^{94} +(2.47330 + 10.1951i) q^{95} +(0.189251 + 0.981929i) q^{96} +(-3.10493 + 1.99542i) q^{97} +(-4.99490 + 4.90418i) q^{98} +(5.27341 + 0.758202i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{22}\right)$

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 $

$2$	0.580057	+	0.814576i	0.410162	+	0.575992i
$2$	0.580057	+	0.814576i	0.410162	+	0.575992i
$3$	−0.971812	+	0.235759i	−0.561076	+	0.136115i
$3$	−0.971812	+	0.235759i	−0.561076	+	0.136115i
$4$	−0.327068	+	0.945001i	−0.163534	+	0.472500i
$5$	0.121677	+	2.55432i	0.0544158	+	1.14233i	0.846664	+	0.532128i	$0.178608\pi$
$5$	0.121677	+	2.55432i	0.0544158	+	1.14233i	−0.792248	+	0.610199i	$0.791089\pi$
$6$	−0.755750	−	0.654861i	−0.308533	−	0.267346i
$7$	2.01215	+	1.71792i	0.760521	+	0.649313i
$7$	2.01215	+	1.71792i	0.760521	+	0.649313i
$8$	−0.959493	+	0.281733i	−0.339232	+	0.0996075i
$9$	0.888835	−	0.458227i	0.296278	−	0.152742i
$10$	−2.01011	+	1.58077i	−0.635653	+	0.499883i
$11$	4.33977	+	3.09033i	1.30849	+	0.931771i	0.999812	−	0.0193964i	$-0.00617445\pi$
$11$	4.33977	+	3.09033i	1.30849	+	0.931771i	0.308677	+	0.951167i	$0.400114\pi$
$12$	0.0950560	−	0.995472i	0.0274403	−	0.287368i
$13$	6.62699	−	0.952817i	1.83800	−	0.264264i	0.866133	−	0.499813i	$-0.166598\pi$
$13$	6.62699	−	0.952817i	1.83800	−	0.264264i	0.971863	+	0.235549i	$0.0756888\pi$
$14$	−0.232215	+	2.63554i	−0.0620621	+	0.704378i
$15$	−0.720452	−	2.45363i	−0.186020	−	0.633525i
$16$	−0.786053	−	0.618159i	−0.196513	−	0.154540i
$17$	−6.15869	−	1.18699i	−1.49370	−	0.287888i	−0.623985	−	0.781437i	$-0.714487\pi$
$17$	−6.15869	−	1.18699i	−1.49370	−	0.287888i	−0.869718	+	0.493549i	$0.835699\pi$
$18$	0.888835	+	0.458227i	0.209501	+	0.108005i
$19$	4.02830	−	0.776391i	0.924155	−	0.178116i	0.295090	−	0.955469i	$-0.404650\pi$
$19$	4.02830	−	0.776391i	0.924155	−	0.178116i	0.629064	+	0.777353i	$0.283438\pi$
$20$	−2.45363	−	0.720452i	−0.548649	−	0.161098i
$21$	−2.36045	−	1.19511i	−0.515092	−	0.260795i
$22$			5.32764i			1.13586i
$23$	−0.545375	−	4.76472i	−0.113719	−	0.993513i
$23$	−0.545375	−	4.76472i	−0.113719	−	0.993513i
$24$	0.866025	−	0.500000i	0.176777	−	0.102062i
$25$	−1.53240	+	0.146326i	−0.306480	+	0.0292653i
$26$	4.62017	+	4.84550i	0.906090	+	0.950280i
$27$	−0.755750	+	0.654861i	−0.145444	+	0.126028i
$28$	−2.28155	+	1.33961i	−0.431172	+	0.253162i
$29$	−0.547576	+	0.631936i	−0.101682	+	0.117348i	−0.804310	−	0.594210i	$-0.797465\pi$
$29$	−0.547576	+	0.631936i	−0.101682	+	0.117348i	0.702627	+	0.711558i	$0.252010\pi$
$30$	1.58077	−	2.01011i	0.288607	−	0.366994i
$31$	−4.89314	+	5.13178i	−0.878834	+	0.921695i	−0.997459	−	0.0712445i	$-0.977303\pi$
$31$	−4.89314	+	5.13178i	−0.878834	+	0.921695i	0.118625	+	0.992939i	$0.462151\pi$
$32$	0.0475819	−	0.998867i	0.00841137	−	0.176576i
$33$	−4.94601	−	1.98008i	−0.860990	−	0.344688i
$34$	−2.60550	−	5.70525i	−0.446839	−	0.978442i
$35$	−4.14329	+	5.34871i	−0.700344	+	0.904098i
$36$	0.142315	+	0.989821i	0.0237191	+	0.164970i
$37$	1.00991	+	1.95895i	0.166028	+	0.322050i	0.957142	−	0.289619i	$-0.0935287\pi$
$37$	1.00991	+	1.95895i	0.166028	+	0.322050i	−0.791114	+	0.611669i	$0.790498\pi$
$38$	2.96907	+	2.83100i	0.481647	+	0.459249i
$39$	−6.21555	+	2.48833i	−0.995284	+	0.398452i
$40$	−0.836384	−	2.41657i	−0.132244	−	0.382094i
$41$	−4.50876	−	7.01577i	−0.704150	−	1.09568i	−0.990495	−	0.137552i	$-0.956076\pi$
$41$	−4.50876	−	7.01577i	−0.704150	−	1.09568i	0.286344	−	0.958127i	$-0.407560\pi$
$42$	−0.395683	−	2.61600i	−0.0610552	−	0.403657i
$43$	−1.39918	+	4.76518i	−0.213373	+	0.726683i	0.781350	+	0.624093i	$0.214531\pi$
$43$	−1.39918	+	4.76518i	−0.213373	+	0.726683i	−0.994724	+	0.102590i	$0.967287\pi$
$44$	−4.33977	+	3.09033i	−0.654244	+	0.465885i
$45$	1.27861	+	2.21462i	0.190604	+	0.330136i
$46$	3.56488	−	3.20806i	0.525613	−	0.473002i
$47$	−1.06414	−	0.614379i	−0.155220	−	0.0896165i	0.420378	−	0.907349i	$-0.361897\pi$
$47$	−1.06414	−	0.614379i	−0.155220	−	0.0896165i	−0.575598	+	0.817733i	$0.695231\pi$
$48$	0.909632	+	0.415415i	0.131294	+	0.0599600i
$49$	1.09750	+	6.91343i	0.156786	+	0.987633i
$50$	−1.00807	−	1.16338i	−0.142563	−	0.164526i
$51$	6.26493	−	0.298436i	0.877266	−	0.0417893i
$52$	−1.26706	+	6.57415i	−0.175710	+	0.911670i
$53$	4.36715	+	10.9086i	0.599874	+	1.49841i	0.848168	+	0.529727i	$0.177706\pi$
$53$	4.36715	+	10.9086i	0.599874	+	1.49841i	−0.248294	+	0.968685i	$0.579870\pi$
$54$	−0.971812	−	0.235759i	−0.132247	−	0.0320827i
$55$	−7.36566	+	11.4612i	−0.993185	+	1.54543i
$56$	−2.41464	−	1.08144i	−0.322670	−	0.144514i
$57$	−3.73170	+	1.70421i	−0.494276	+	0.225728i
$58$	−0.832386	−	0.0794832i	−0.109298	−	0.0104367i
$59$	−7.30028	−	9.28307i	−0.950416	−	1.20855i	−0.977930	−	0.208931i	$-0.933002\pi$
$59$	−7.30028	−	9.28307i	−0.950416	−	1.20855i	0.0275145	−	0.999621i	$-0.491241\pi$
$60$	2.55432	+	0.121677i	0.329762	+	0.0157085i
$61$	0.817878	−	3.37134i	0.104719	−	0.431656i	−0.895183	−	0.445699i	$-0.852955\pi$
$61$	0.817878	−	3.37134i	0.104719	−	0.431656i	0.999901	+	0.0140433i	$0.00447027\pi$
$62$	−7.01852	−	1.00911i	−0.891353	−	0.128157i
$63$	2.57567	+	0.604928i	0.324504	+	0.0762138i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	3.24016	+	16.8115i	0.401892	+	2.08521i
$66$	−1.25604	−	5.17746i	−0.154608	−	0.637301i
$67$	−1.14679	−	12.0097i	−0.140103	−	1.46722i	−0.742939	−	0.669359i	$-0.766569\pi$
$67$	−1.14679	−	12.0097i	−0.140103	−	1.46722i	0.602837	−	0.797865i	$-0.294037\pi$
$68$	3.13602	−	5.43174i	0.380298	−	0.658696i
$69$	1.65333	+	4.50183i	0.199037	+	0.541957i
$70$	−6.76028	−	0.272466i	−0.808008	−	0.0325659i
$71$	4.65198	−	10.1864i	0.552089	−	1.20891i	−0.403711	−	0.914887i	$-0.632280\pi$
$71$	4.65198	−	10.1864i	0.552089	−	1.20891i	0.955800	−	0.294019i	$-0.0949930\pi$
$72$	−0.723734	+	0.690079i	−0.0852929	+	0.0813266i
$73$	−1.96900	−	0.681477i	−0.230454	−	0.0797608i	0.209401	−	0.977830i	$-0.432849\pi$
$73$	−1.96900	−	0.681477i	−0.230454	−	0.0797608i	−0.439854	+	0.898069i	$0.644970\pi$
$74$	−1.00991	+	1.95895i	−0.117400	+	0.227724i
$75$	1.45470	−	0.503478i	0.167975	−	0.0581366i
$76$	−0.583837	+	4.06068i	−0.0669707	+	0.465791i
$77$	3.42332	+	13.6736i	0.390123	+	1.55825i
$78$	−5.63231	−	3.61966i	−0.637733	−	0.409846i
$79$	5.27602	−	13.1789i	0.593599	−	1.48274i	−0.261984	−	0.965072i	$-0.584377\pi$
$79$	5.27602	−	13.1789i	0.593599	−	1.48274i	0.855583	−	0.517666i	$-0.173199\pi$
$80$	1.48333	−	2.08305i	0.165842	−	0.232892i
$81$	0.580057	−	0.814576i	0.0644508	−	0.0905084i
$82$	3.09954	−	7.74227i	0.342287	−	0.854991i
$83$	−4.42162	−	2.84160i	−0.485336	−	0.311907i	0.274991	−	0.961447i	$-0.411325\pi$
$83$	−4.42162	−	2.84160i	−0.485336	−	0.311907i	−0.760327	+	0.649540i	$0.774961\pi$
$84$	1.90141	−	1.83974i	0.207461	−	0.200732i
$85$	2.28258	−	15.8757i	0.247581	−	1.72196i
$86$	−4.69321	+	1.62433i	−0.506082	+	0.175157i
$87$	0.383156	−	0.743219i	0.0410786	−	0.0796815i
$88$	−5.03462	−	1.74250i	−0.536693	−	0.185751i
$89$	−3.43565	+	3.27588i	−0.364178	+	0.347243i	−0.849970	−	0.526832i	$-0.823380\pi$
$89$	−3.43565	+	3.27588i	−0.364178	+	0.347243i	0.485792	+	0.874075i	$0.338531\pi$
$90$	−1.06231	+	2.32613i	−0.111977	+	0.245195i
$91$	14.9714	+	9.46743i	1.56943	+	0.992456i
$92$	4.68104	+	1.04301i	0.488032	+	0.108741i
$93$	3.54535	−	6.14072i	0.367635	−	0.636763i
$94$	−0.116801	−	1.22319i	−0.0120471	−	0.126163i
$95$	2.47330	+	10.1951i	0.253756	+	1.04600i
$96$	0.189251	+	0.981929i	0.0193154	+	0.100218i
$97$	−3.10493	+	1.99542i	−0.315258	+	0.202604i	−0.688694	−	0.725052i	$-0.741816\pi$
$97$	−3.10493	+	1.99542i	−0.315258	+	0.202604i	0.373436	+	0.927656i	$0.378179\pi$
$98$	−4.99490	+	4.90418i	−0.504561	+	0.495397i
$99$	5.27341	+	0.758202i	0.529998	+	0.0762022i
$100$	0.362920	−	1.49598i	0.0362920	−	0.149598i
$101$	−11.3691	−	0.541575i	−1.13126	−	0.0538887i	−0.526414	−	0.850228i	$-0.676464\pi$
$101$	−11.3691	−	0.541575i	−1.13126	−	0.0538887i	−0.604850	+	0.796340i	$0.706767\pi$
$102$	3.87712	+	4.93015i	0.383892	+	0.488158i
$103$	4.06099	+	0.387778i	0.400141	+	0.0382089i	0.293187	−	0.956055i	$-0.405284\pi$
$103$	4.06099	+	0.387778i	0.400141	+	0.0382089i	0.106954	+	0.994264i	$0.465890\pi$
$104$	−6.09011	+	2.78126i	−0.597184	+	0.272725i
$105$	2.76549	−	6.17476i	0.269884	−	0.602595i
$106$	−6.35269	+	9.88498i	−0.617028	+	0.960115i
$107$	9.85446	+	2.39067i	0.952667	+	0.231114i	0.681830	−	0.731511i	$-0.261184\pi$
$107$	9.85446	+	2.39067i	0.952667	+	0.231114i	0.270837	+	0.962625i	$0.412700\pi$
$108$	−0.371662	−	0.928368i	−0.0357632	−	0.0893322i
$109$	−1.14601	+	5.94606i	−0.109768	+	0.569529i	0.884846	+	0.465883i	$0.154263\pi$
$109$	−1.14601	+	5.94606i	−0.109768	+	0.569529i	−0.994614	+	0.103647i	$0.966949\pi$
$110$	−13.6085	+	0.648253i	−1.29752	+	0.0618085i
$111$	−1.44328	−	1.66564i	−0.136990	−	0.158095i
$112$	−0.519709	−	2.59421i	−0.0491079	−	0.245129i
$113$	−7.73811	−	3.53388i	−0.727940	−	0.332439i	0.0167407	−	0.999860i	$-0.494671\pi$
$113$	−7.73811	−	3.53388i	−0.727940	−	0.332439i	−0.744681	+	0.667421i	$0.767398\pi$
$114$	−3.55281	−	2.05122i	−0.332751	−	0.192114i
$115$	12.1043	−	1.97282i	1.12873	−	0.183967i
$116$	−0.418086	−	0.724146i	−0.0388183	−	0.0672353i
$117$	5.45370	−	3.88356i	0.504194	−	0.359035i
$118$	3.32718	−	11.3313i	0.306292	−	1.04313i
$119$	−10.3531	−	12.9686i	−0.949064	−	1.18883i
$120$	1.38254	+	2.15127i	0.126208	+	0.196383i
$121$	5.68566	+	16.4276i	0.516878	+	1.49342i
$122$	3.22063	−	1.28935i	0.291582	−	0.116732i
$123$	6.03570	+	5.75502i	0.544220	+	0.518913i
$124$	−3.24915	−	6.30246i	−0.291782	−	0.565978i
$125$	1.25943	+	8.75952i	0.112647	+	0.783475i
$126$	1.00127	+	2.44897i	0.0892006	+	0.218172i
$127$	−0.119812	−	0.262351i	−0.0106316	−	0.0232799i	0.904242	−	0.427021i	$-0.140437\pi$
$127$	−0.119812	−	0.262351i	−0.0106316	−	0.0232799i	−0.914873	+	0.403741i	$0.867710\pi$
$128$	0.928368	+	0.371662i	0.0820569	+	0.0328506i
$129$	0.236309	−	4.96073i	0.0208058	−	0.436768i
$130$	−11.8148	+	12.3910i	−1.03623	+	1.08676i
$131$	3.27381	−	4.16299i	0.286034	−	0.363722i	−0.621709	−	0.783248i	$-0.713561\pi$
$131$	3.27381	−	4.16299i	0.286034	−	0.363722i	0.907743	+	0.419526i	$0.137804\pi$
$132$	3.48886	−	4.02636i	0.303666	−	0.350450i
$133$	9.43932	+	5.35808i	0.818492	+	0.464604i
$134$	9.11764	−	7.90048i	0.787644	−	0.682498i
$135$	−1.76468	−	1.85075i	−0.151880	−	0.159287i
$136$	6.24364	−	0.596195i	0.535388	−	0.0511233i
$137$	−4.21018	+	2.43075i	−0.359700	+	0.207673i	−0.668949	−	0.743308i	$-0.733256\pi$
$137$	−4.21018	+	2.43075i	−0.359700	+	0.207673i	0.309249	+	0.950981i	$0.399922\pi$
$138$	−2.70806	+	3.95808i	−0.230526	+	0.336934i
$139$		−	11.4279i		−	0.969306i	−0.874707	−	0.484653i	$-0.838946\pi$
$139$		−	11.4279i		−	0.969306i	0.874707	−	0.484653i	$-0.161054\pi$
$140$	−3.69940	−	5.66480i	−0.312656	−	0.478763i
$141$	1.17899	+	0.346181i	0.0992885	+	0.0291537i
$142$	10.9960	−	2.11931i	0.922766	−	0.177849i
$143$	31.7041	+	16.3446i	2.65123	+	1.36680i
$144$	−0.981929	−	0.189251i	−0.0818274	−	0.0157709i
$145$	−1.68080	−	1.32179i	−0.139583	−	0.109769i
$146$	−0.587016	−	1.99919i	−0.0485818	−	0.165454i
$147$	−2.69646	−	6.45980i	−0.222401	−	0.532796i
$148$	−2.18152	+	0.313655i	−0.179320	+	0.0257823i
$149$	0.945748	−	9.90432i	0.0774787	−	0.811394i	−0.870312	−	0.492501i	$-0.836083\pi$
$149$	0.945748	−	9.90432i	0.0774787	−	0.811394i	0.947791	−	0.318893i	$-0.103311\pi$
$150$	1.25393	+	0.892921i	0.102383	+	0.0729067i
$151$	−4.65605	+	3.66156i	−0.378904	+	0.297973i	−0.789388	−	0.613894i	$-0.789602\pi$
$151$	−4.65605	+	3.66156i	−0.378904	+	0.297973i	0.410484	+	0.911868i	$0.365360\pi$
$152$	−3.64639	+	1.87984i	−0.295761	+	0.152475i
$153$	−6.01798	+	1.76704i	−0.486525	+	0.142856i
$154$	−9.15246	+	10.7200i	−0.737526	+	0.863843i
$155$	−13.7036	−	11.8742i	−1.10070	−	0.953762i
$156$	−0.318567	−	6.68755i	−0.0255058	−	0.535433i
$157$	0.475031	−	1.37251i	0.0379116	−	0.109538i	−0.924457	−	0.381287i	$-0.875481\pi$
$157$	0.475031	−	1.37251i	0.0379116	−	0.109538i	0.962368	+	0.271749i	$0.0876020\pi$
$158$	13.7956	−	3.34677i	1.09752	−	0.266255i
$159$	−6.81584	−	9.57151i	−0.540532	−	0.759070i
$160$	2.55722			0.202166
$161$	7.08804	−	10.5242i	0.558615	−	0.829427i
$162$	1.00000			0.0785674
$163$	−12.1299	−	17.0341i	−0.950089	−	1.33421i	−0.942487	−	0.334242i	$-0.891520\pi$
$163$	−12.1299	−	17.0341i	−0.950089	−	1.33421i	−0.00760110	−	0.999971i	$-0.502420\pi$
$164$	8.10458	−	1.96615i	0.632861	−	0.153530i
$165$	4.45595	−	12.8746i	0.346896	−	1.00229i
$166$	−0.250090	−	5.25004i	−0.0194108	−	0.407482i
$167$	−15.5916	−	13.5102i	−1.20651	−	1.04545i	−0.997720	−	0.0674898i	$-0.978501\pi$
$167$	−15.5916	−	13.5102i	−1.20651	−	1.04545i	−0.208793	−	0.977960i	$-0.566954\pi$
$168$	2.60153	+	0.481688i	0.200713	+	0.0371630i
$169$	30.5357	−	8.96609i	2.34890	−	0.689700i
$170$	14.2560	−	7.34948i	1.09339	−	0.563680i
$171$	3.22473	−	2.53596i	0.246601	−	0.193929i
$172$	−4.04547	−	2.88077i	−0.308464	−	0.219656i
$173$	−1.66343	+	17.4203i	−0.126468	+	1.32444i	0.680022	+	0.733191i	$0.261970\pi$
$173$	−1.66343	+	17.4203i	−0.126468	+	1.32444i	−0.806491	+	0.591247i	$0.798636\pi$
$174$	0.827661	−	0.119000i	0.0627448	−	0.00902134i
$175$	−3.33479	−	2.33811i	−0.252087	−	0.176744i
$176$	−1.50097	−	5.11183i	−0.113140	−	0.385319i
$177$	9.28307	+	7.30028i	0.697758	+	0.548723i
$178$	−4.66133	−	0.898397i	−0.349381	−	0.0673377i
$179$	19.2524	+	9.92532i	1.43899	+	0.741853i	0.988542	−	0.150947i	$-0.0482324\pi$
$179$	19.2524	+	9.92532i	1.43899	+	0.741853i	0.450452	+	0.892800i	$0.351263\pi$
$180$	−2.51101	+	0.483957i	−0.187159	+	0.0360720i
$181$	7.44031	+	2.18467i	0.553034	+	0.162385i	0.546296	−	0.837592i	$-0.316037\pi$
$181$	7.44031	+	2.18467i	0.553034	+	0.162385i	0.00673738	+	0.999977i	$0.497855\pi$
$182$	0.972303	+	17.6870i	0.0720719	+	1.31104i
$183$			3.46913i			0.256445i
$184$	1.86566	+	4.41807i	0.137538	+	0.325704i
$185$	−4.88091	+	2.81800i	−0.358852	+	0.207183i
$186$	7.05859	−	0.674014i	0.517561	−	0.0494211i
$187$	−23.0591	−	24.1837i	−1.68625	−	1.76849i
$188$	0.928634	−	0.804666i	0.0677276	−	0.0586863i
$189$	−2.64568	+	0.0193607i	−0.192445	+	0.00140828i
$190$	−6.87003	+	7.92843i	−0.498404	+	0.575189i
$191$	2.88990	−	3.67480i	0.209106	−	0.265899i	−0.670175	−	0.742203i	$-0.733781\pi$
$191$	2.88990	−	3.67480i	0.209106	−	0.265899i	0.879281	+	0.476303i	$0.158024\pi$
$192$	−0.690079	+	0.723734i	−0.0498022	+	0.0522310i
$193$	0.451396	−	9.47597i	0.0324922	−	0.682095i	−0.922595	−	0.385770i	$-0.873936\pi$
$193$	0.451396	−	9.47597i	0.0324922	−	0.682095i	0.955087	−	0.296325i	$-0.0957612\pi$
$194$	−3.42645	−	1.37175i	−0.246005	−	0.0984856i
$195$	−7.11229	−	15.5737i	−0.509322	−	1.11526i
$196$	−6.89215	−	1.22402i	−0.492297	−	0.0874303i
$197$	0.557046	+	3.87434i	0.0396879	+	0.276035i	0.999996	−	0.00290699i	$-0.000925324\pi$
$197$	0.557046	+	3.87434i	0.0396879	+	0.276035i	−0.960308	+	0.278942i	$0.910016\pi$
$198$	2.44127	+	4.73539i	0.173493	+	0.336530i
$199$	2.20474	+	2.10221i	0.156290	+	0.149022i	0.764189	−	0.644992i	$-0.223139\pi$
$199$	2.20474	+	2.10221i	0.156290	+	0.149022i	−0.607900	+	0.794014i	$0.707988\pi$
$200$	1.42910	−	0.572125i	0.101053	−	0.0404554i
$201$	3.94587	+	11.4008i	0.278320	+	0.804153i
$202$	−6.15355	−	9.57511i	−0.432962	−	0.673702i
$203$	−2.18742	+	0.330859i	−0.153527	+	0.0232218i
$204$	−1.76704	+	6.01798i	−0.123717	+	0.421343i
$205$	17.3719	−	12.3705i	1.21331	−	0.863992i
$206$	2.03973	+	3.53292i	0.142115	+	0.246150i
$207$	−2.66807	−	3.98515i	−0.185444	−	0.276987i
$208$	−5.79816	−	3.34757i	−0.402030	−	0.232112i
$209$	19.8812	+	9.07943i	1.37521	+	0.628037i
$210$	6.63395	−	1.32901i	0.457786	−	0.0917104i
$211$	8.42197	+	9.71947i	0.579792	+	0.669116i	0.967560	−	0.252641i	$-0.0812992\pi$
$211$	8.42197	+	9.71947i	0.579792	+	0.669116i	−0.387768	+	0.921757i	$0.626754\pi$
$212$	−11.7370	+	0.559102i	−0.806100	+	0.0383993i
$213$	−2.11931	+	10.9960i	−0.145213	+	0.753436i
$214$	3.76877	+	9.41393i	0.257628	+	0.643523i
$215$	−12.3421	−	2.99415i	−0.841721	−	0.204199i
$216$	0.540641	−	0.841254i	0.0367859	−	0.0572401i
$217$	−18.6617	+	1.91988i	−1.26684	+	0.130330i
$218$	−5.50827	+	2.51554i	−0.373067	+	0.170374i
$219$	2.07416	+	0.198058i	0.140159	+	0.0133835i
$220$	−8.42176	−	10.7091i	−0.567795	−	0.722010i
$221$	−41.9446	−	1.99807i	−2.82150	−	0.134405i
$222$	0.519602	−	2.14183i	0.0348734	−	0.143750i
$223$	11.3646	+	1.63398i	0.761027	+	0.109419i	0.511892	−	0.859050i	$-0.328945\pi$
$223$	11.3646	+	1.63398i	0.761027	+	0.109419i	0.249135	+	0.968469i	$0.419854\pi$
$224$	1.81172	−	1.92813i	0.121050	−	0.128829i
$225$	−1.29500	+	0.832245i	−0.0863333	+	0.0554830i
$226$	−1.60993	−	8.35313i	−0.107091	−	0.555642i
$227$	3.20514	+	13.2118i	0.212733	+	0.876897i	0.973650	+	0.228048i	$0.0732342\pi$
$227$	3.20514	+	13.2118i	0.212733	+	0.876897i	−0.760917	+	0.648849i	$0.775251\pi$
$228$	−0.389961	−	4.08386i	−0.0258258	−	0.270460i
$229$	10.1806	−	17.6333i	0.672752	−	1.16524i	−0.304369	−	0.952554i	$-0.598446\pi$
$229$	10.1806	−	17.6333i	0.672752	−	1.16524i	0.977121	−	0.212686i	$-0.0682211\pi$
$230$	8.62818	+	8.71550i	0.568925	+	0.574683i
$231$	−6.55049	−	12.4811i	−0.430990	−	0.821194i
$232$	0.347358	−	0.760609i	0.0228052	−	0.0499364i
$233$	5.01007	−	4.77709i	0.328221	−	0.312958i	−0.507993	−	0.861361i	$-0.669613\pi$
$233$	5.01007	−	4.77709i	0.328221	−	0.312958i	0.836214	+	0.548403i	$0.184764\pi$
$234$	6.32691	+	2.18976i	0.413603	+	0.143149i
$235$	1.43984	−	2.79290i	0.0939249	−	0.182189i
$236$	11.1602	−	3.86258i	0.726467	−	0.251433i
$237$	−2.02026	+	14.0512i	−0.131230	+	0.912726i
$238$	4.55850	−	15.9559i	0.295484	−	1.03426i
$239$	23.6430	+	15.1945i	1.52934	+	0.982847i	0.990048	+	0.140729i	$0.0449446\pi$
$239$	23.6430	+	15.1945i	1.52934	+	0.982847i	0.539292	+	0.842119i	$0.318692\pi$
$240$	−0.950422	+	2.37404i	−0.0613495	+	0.153244i
$241$	−7.67326	+	10.7756i	−0.494278	+	0.694117i	−0.984082	−	0.177716i	$-0.943129\pi$
$241$	−7.67326	+	10.7756i	−0.494278	+	0.694117i	0.489804	+	0.871833i	$0.337069\pi$
$242$	−10.0836	+	14.1604i	−0.648195	+	0.910263i
$243$	−0.371662	+	0.928368i	−0.0238422	+	0.0595548i
$244$	2.91842	+	1.87555i	0.186833	+	0.120070i
$245$	−17.5256	+	3.64457i	−1.11967	+	0.232843i
$246$	−1.18686	+	8.25478i	−0.0756713	+	0.526305i
$247$	25.9557	−	8.98336i	1.65152	−	0.571598i
$248$	3.24915	−	6.30246i	0.206321	−	0.400207i
$249$	4.96692	+	1.71907i	0.314766	+	0.108941i
$250$	−6.40475	+	6.10692i	−0.405072	+	0.386235i
$251$	−7.76385	+	17.0005i	−0.490050	+	1.07306i	0.489526	+	0.871988i	$0.337170\pi$
$251$	−7.76385	+	17.0005i	−0.490050	+	1.07306i	−0.979577	+	0.201072i	$0.935558\pi$
$252$	−1.41408	+	2.23616i	−0.0890784	+	0.140865i
$253$	12.3578	−	22.3632i	0.776927	−	1.40596i
$254$	0.144207	−	0.249775i	0.00904838	−	0.0156723i
$255$	1.52460	+	15.9663i	0.0954742	+	0.999852i
$256$	0.235759	+	0.971812i	0.0147349	+	0.0607382i
$257$	−0.166246	−	0.862567i	−0.0103701	−	0.0538054i	0.976375	−	0.216083i	$-0.0693282\pi$
$257$	−0.166246	−	0.862567i	−0.0103701	−	0.0538054i	−0.986745	+	0.162277i	$0.948116\pi$
$258$	4.17796	−	2.68501i	0.260109	−	0.167162i
$259$	−1.33323	+	5.67665i	−0.0828431	+	0.352730i
$260$	−16.9467	−	2.43656i	−1.05099	−	0.151109i
$261$	−0.197135	+	0.812601i	−0.0122023	+	0.0502988i
$262$	5.29007	+	0.251997i	0.326822	+	0.0155684i
$263$	4.77588	+	6.07302i	0.294493	+	0.374479i	0.910674	−	0.413126i	$-0.135563\pi$
$263$	4.77588	+	6.07302i	0.294493	+	0.374479i	−0.616181	+	0.787605i	$0.711321\pi$
$264$	5.30351	+	0.506424i	0.326409	+	0.0311683i
$265$	−27.3327	+	12.4824i	−1.67904	+	0.766790i
$266$	1.11078	+	10.7970i	0.0681062	+	0.662008i
$267$	2.56648	−	3.99353i	0.157066	−	0.244400i
$268$	11.7243	+	2.84428i	0.716175	+	0.173742i
$269$	−0.621080	−	1.55138i	−0.0378679	−	0.0945895i	0.908228	−	0.418475i	$-0.137435\pi$
$269$	−0.621080	−	1.55138i	−0.0378679	−	0.0945895i	−0.946096	+	0.323885i	$0.895011\pi$
$270$	0.483957	−	2.51101i	0.0294527	−	0.152815i
$271$	15.3146	−	0.729523i	0.930294	−	0.0443153i	0.423039	−	0.906112i	$-0.360963\pi$
$271$	15.3146	−	0.729523i	0.930294	−	0.0443153i	0.507255	+	0.861796i	$0.330660\pi$
$272$	4.10731	+	4.74009i	0.249042	+	0.287410i
$273$	−16.7814	−	5.67092i	−1.01565	−	0.343220i
$274$	−4.42217	−	2.01954i	−0.267153	−	0.122005i
$275$	−7.10245	−	4.10060i	−0.428294	−	0.247275i
$276$	−4.79499	+	0.0899899i	−0.288624	+	0.00541675i
$277$	1.40851	+	2.43961i	0.0846291	+	0.146582i	0.905233	−	0.424915i	$-0.139696\pi$
$277$	1.40851	+	2.43961i	0.0846291	+	0.146582i	−0.820604	+	0.571497i	$0.806363\pi$
$278$	9.30893	−	6.62886i	0.558313	−	0.397573i
$279$	−1.99768	+	6.80347i	−0.119598	+	0.407313i
$280$	2.46855	−	6.29935i	0.147524	−	0.376458i
$281$	12.7880	+	19.8985i	0.762868	+	1.18705i	0.977620	+	0.210378i	$0.0674693\pi$
$281$	12.7880	+	19.8985i	0.762868	+	1.18705i	−0.214752	+	0.976669i	$0.568894\pi$
$282$	0.401888	+	1.16118i	0.0239321	+	0.0691472i
$283$	−6.73279	+	2.69540i	−0.400223	+	0.160225i	−0.563037	−	0.826432i	$-0.690367\pi$
$283$	−6.73279	+	2.69540i	−0.400223	+	0.160225i	0.162814	+	0.986657i	$0.447943\pi$
$284$	8.10466	+	7.72778i	0.480923	+	0.458559i
$285$	−4.80717	−	9.32461i	−0.284752	−	0.552342i
$286$	5.07627	+	35.3062i	0.300166	+	2.08770i
$287$	2.98023	−	21.8625i	0.175917	−	1.29050i
$288$	−0.415415	−	0.909632i	−0.0244786	−	0.0536006i
$289$	20.7383	+	8.30237i	1.21990	+	0.488375i
$290$	0.101743	−	2.13585i	0.00597457	−	0.125422i
$291$	2.54697	−	2.67118i	0.149306	−	0.156588i
$292$	1.28799	−	1.63781i	0.0753740	−	0.0958459i
$293$	11.6749	−	13.4736i	0.682056	−	0.787135i	−0.304156	−	0.952622i	$-0.598374\pi$
$293$	11.6749	−	13.4736i	0.682056	−	0.787135i	0.986212	+	0.165488i	$0.0529198\pi$
$294$	3.69790	−	5.94353i	0.215666	−	0.346634i
$295$	22.8237	−	19.7768i	1.32885	−	1.15145i
$296$	−1.52090	−	1.59508i	−0.0884007	−	0.0927119i
$297$	−5.30351	+	0.506424i	−0.307741	+	0.0293857i
$298$	8.61641	−	4.97469i	0.499135	−	0.288176i
$299$	−8.15410	−	31.0561i	−0.471564	−	1.79602i
$300$			1.53937i			0.0888755i
$301$	−11.0016	+	7.18457i	−0.634120	+	0.414112i
$302$	−5.68339	−	1.66879i	−0.327042	−	0.0960282i
$303$	11.1763	−	2.15405i	0.642060	−	0.123747i
$304$	−3.64639	−	1.87984i	−0.209135	−	0.107816i
$305$	8.71101	+	1.67891i	0.498791	+	0.0961340i
$306$	−4.93015	−	3.87712i	−0.281838	−	0.221640i
$307$	−5.67879	−	19.3402i	−0.324106	−	1.10380i	−0.946930	−	0.321441i	$-0.895833\pi$
$307$	−5.67879	−	19.3402i	−0.324106	−	1.10380i	0.622824	−	0.782362i	$-0.285985\pi$
$308$	−14.0412	−	1.23716i	−0.800072	−	0.0704936i
$309$	−4.03794	+	0.580568i	−0.229710	+	0.0330274i
$310$	1.72360	−	18.0504i	0.0978939	−	1.02519i
$311$	14.8176	+	10.5515i	0.840227	+	0.598323i	0.917073	−	0.398720i	$-0.130546\pi$
$311$	14.8176	+	10.5515i	0.840227	+	0.598323i	−0.0768458	+	0.997043i	$0.524485\pi$
$312$	5.26273	−	4.13866i	0.297944	−	0.234305i
$313$	−13.2690	+	6.84064i	−0.750008	+	0.386656i	−0.790450	−	0.612526i	$-0.790153\pi$
$313$	−13.2690	+	6.84064i	−0.750008	+	0.386656i	0.0404427	+	0.999182i	$0.487123\pi$
$314$	1.39356	−	0.409186i	0.0786432	−	0.0230917i
$315$	−1.23178	+	6.65269i	−0.0694030	+	0.374837i
$316$	10.7284	+	9.29623i	0.603521	+	0.522954i
$317$	0.0972956	+	2.04249i	0.00546467	+	0.114717i	0.999951	+	0.00985535i	$0.00313711\pi$
$317$	0.0972956	+	2.04249i	0.00546467	+	0.114717i	−0.994487	+	0.104862i	$0.966560\pi$
$318$	3.84315	−	11.1040i	0.215513	−	0.622684i
$319$	−4.32925	+	1.05026i	−0.242391	+	0.0588035i
$320$	1.48333	+	2.08305i	0.0829208	+	0.116446i
$321$	−10.1403			−0.565976
$322$	12.6843	−	0.330919i	0.706866	−	0.0184414i
$323$	−25.7306			−1.43169
$324$	0.580057	+	0.814576i	0.0322254	+	0.0452542i
$325$	−10.0158	+	2.42980i	−0.555575	+	0.134781i
$326$	6.83951	−	19.7615i	0.378806	−	1.09449i
$327$	−0.288132	−	6.04863i	−0.0159337	−	0.334490i
$328$	6.30270	+	5.46132i	0.348008	+	0.301551i
$329$	−1.08575	−	3.06433i	−0.0598592	−	0.168942i
$330$	13.0721	−	3.83831i	0.719594	−	0.211292i
$331$	−21.6344	+	11.1533i	−1.18913	+	0.613041i	−0.935179	−	0.354175i	$-0.884762\pi$
$331$	−21.6344	+	11.1533i	−1.18913	+	0.613041i	−0.253954	+	0.967216i	$0.581731\pi$
$332$	4.13149	−	3.24904i	0.226745	−	0.178314i
$333$	1.79529	+	1.27842i	0.0983812	+	0.0700569i
$334$	1.96107	−	20.5372i	0.107305	−	1.12375i
$335$	30.5372	−	4.39059i	1.66843	−	0.239883i
$336$	1.11667	+	2.39855i	0.0609191	+	0.130852i
$337$	5.17351	+	17.6194i	0.281819	+	0.959787i	0.971770	+	0.235931i	$0.0758140\pi$
$337$	5.17351	+	17.6194i	0.281819	+	0.959787i	−0.689951	+	0.723856i	$0.742368\pi$
$338$	25.0160	+	19.6728i	1.36069	+	1.07006i
$339$	8.35313	+	1.60993i	0.453680	+	0.0874396i
$340$	14.2560	+	7.34948i	0.773141	+	0.398582i
$341$	−37.0940	+	7.14928i	−2.00875	+	0.387155i
$342$	3.93626	+	1.15579i	0.212848	+	0.0624979i
$343$	−9.66839	+	15.7963i	−0.522044	+	0.852919i
$344$		−	4.96635i		−	0.267768i
$345$	−11.2980	+	4.77090i	−0.608262	+	0.256857i
$346$	−15.1550	+	8.74975i	−0.814738	+	0.470389i
$347$	−17.8403	+	1.70355i	−0.957720	+	0.0914511i	−0.562195	−	0.827004i	$-0.690043\pi$
$347$	−17.8403	+	1.70355i	−0.957720	+	0.0914511i	−0.395524	+	0.918456i	$0.629437\pi$
$348$	0.577025	+	0.605166i	0.0309318	+	0.0324403i
$349$	−3.02588	+	2.62194i	−0.161972	+	0.140349i	−0.732076	−	0.681223i	$-0.761448\pi$
$349$	−3.02588	+	2.62194i	−0.161972	+	0.140349i	0.570104	+	0.821572i	$0.306903\pi$
$350$	−0.0298032	−	4.07268i	−0.00159305	−	0.217694i
$351$	−4.38438	+	5.05985i	−0.234021	+	0.270075i
$352$	3.29333	−	4.18781i	0.175535	−	0.223211i
$353$	−20.7356	+	21.7469i	−1.10364	+	1.15747i	−0.117244	+	0.993103i	$0.537406\pi$
$353$	−20.7356	+	21.7469i	−1.10364	+	1.15747i	−0.986400	+	0.164365i	$0.947443\pi$
$354$	−0.561929	+	11.7963i	−0.0298662	+	0.626968i
$355$	26.5854	+	10.6432i	1.41101	+	0.564883i
$356$	−1.97202	−	4.31813i	−0.104517	−	0.228860i
$357$	13.1187	+	10.1622i	0.694314	+	0.537839i
$358$	3.08258	+	21.4398i	0.162919	+	1.13313i
$359$	−2.41936	−	4.69290i	−0.127689	−	0.247682i	0.816321	−	0.577598i	$-0.196010\pi$
$359$	−2.41936	−	4.69290i	−0.127689	−	0.247682i	−0.944010	+	0.329916i	$0.892980\pi$
$360$	−1.85075	−	1.76468i	−0.0975429	−	0.0930070i
$361$	−2.01460	+	0.806524i	−0.106032	+	0.0424487i
$362$	2.53622	+	7.32793i	0.133301	+	0.385147i
$363$	−9.39835	−	14.6241i	−0.493286	−	0.767567i
$364$	−13.8434	+	11.0515i	−0.725590	+	0.579254i
$365$	1.50113	−	5.11237i	0.0785727	−	0.267594i
$366$	−2.82587	+	2.01229i	−0.147711	+	0.105184i
$367$	−18.8824	−	32.7053i	−0.985655	−	1.70721i	−0.638988	−	0.769217i	$-0.720647\pi$
$367$	−18.8824	−	32.7053i	−0.985655	−	1.70721i	−0.346668	−	0.937988i	$-0.612687\pi$
$368$	−2.51666	+	4.08245i	−0.131190	+	0.212813i
$369$	−7.22236	−	4.16983i	−0.375981	−	0.217073i
$370$	−5.12668	−	2.34128i	−0.266523	−	0.121717i
$371$	−9.95276	+	29.4522i	−0.516722	+	1.52908i
$372$	4.64342	+	5.35879i	0.240750	+	0.277840i
$373$	−9.63562	+	0.459001i	−0.498914	+	0.0237662i	−0.295531	−	0.955333i	$-0.595497\pi$
$373$	−9.63562	+	0.459001i	−0.498914	+	0.0237662i	−0.203383	+	0.979099i	$0.565194\pi$
$374$	6.32386	−	32.8113i	0.326999	−	1.69663i
$375$	−3.28906	−	8.21568i	−0.169846	−	0.424256i
$376$	1.19412	+	0.289691i	0.0615821	+	0.0149397i
$377$	−3.02666	+	4.70958i	−0.155881	+	0.242555i
$378$	−1.55042	−	2.14388i	−0.0797448	−	0.110269i
$379$	21.7146	−	9.91673i	1.11540	−	0.509388i	0.229525	−	0.973303i	$-0.426283\pi$
$379$	21.7146	−	9.91673i	1.11540	−	0.509388i	0.885880	+	0.463915i	$0.153556\pi$
$380$	−10.4433	−	0.997216i	−0.535731	−	0.0511561i
$381$	0.178286	+	0.226709i	0.00913388	+	0.0116147i
$382$	4.66971	+	0.222446i	0.238923	+	0.0113813i
$383$	−0.338427	+	1.39502i	−0.0172928	+	0.0712820i	−0.979804	−	0.199959i	$-0.935919\pi$
$383$	−0.338427	+	1.39502i	−0.0172928	+	0.0712820i	0.962511	+	0.271241i	$0.0874341\pi$
$384$	−0.989821	−	0.142315i	−0.0505116	−	0.00726247i
$385$	−34.5102	+	10.4080i	−1.75880	+	0.530442i
$386$	7.98073	−	5.12891i	0.406209	−	0.261054i
$387$	0.939888	+	4.87660i	0.0477772	+	0.247892i
$388$	−0.870148	−	3.58680i	−0.0441751	−	0.182092i
$389$	−1.80242	−	18.8758i	−0.0913863	−	0.957041i	−0.918609	−	0.395167i	$-0.870687\pi$
$389$	−1.80242	−	18.8758i	−0.0913863	−	0.957041i	0.827223	−	0.561874i	$-0.189919\pi$
$390$	8.56046	−	14.8272i	0.433476	−	0.750802i
$391$	−2.29688	+	29.9918i	−0.116158	+	1.51675i
$392$	−3.00078	−	6.32419i	−0.151562	−	0.319420i
$393$	−2.20007	+	4.81748i	−0.110979	+	0.243009i
$394$	−2.83282	+	2.70109i	−0.142716	+	0.136079i
$395$	34.3051	+	11.8731i	1.72607	+	0.597400i
$396$	−2.44127	+	4.73539i	−0.122678	+	0.237962i
$397$	−29.0619	+	10.0584i	−1.45858	+	0.504818i	−0.937286	−	0.348562i	$-0.886670\pi$
$397$	−29.0619	+	10.0584i	−1.45858	+	0.504818i	−0.521289	+	0.853380i	$0.674549\pi$
$398$	−0.433539	+	3.01533i	−0.0217313	+	0.151145i
$399$	−10.4365	−	2.98164i	−0.522476	−	0.149269i
$400$	1.29500	+	0.832245i	0.0647500	+	0.0416123i
$401$	−2.80360	+	7.00306i	−0.140005	+	0.349716i	−0.981755	−	0.190152i	$-0.939102\pi$
$401$	−2.80360	+	7.00306i	−0.140005	+	0.349716i	0.841749	+	0.539868i	$0.181526\pi$
$402$	−6.99802	+	9.82734i	−0.349030	+	0.490143i
$403$	−27.5371	+	38.6705i	−1.37172	+	1.92632i
$404$	4.23025	−	10.5666i	0.210463	−	0.525710i
$405$	2.15127	+	1.38254i	0.106897	+	0.0686988i
$406$	−1.53834	−	1.58990i	−0.0763465	−	0.0789056i
$407$	−1.67104	+	11.6224i	−0.0828305	+	0.576099i
$408$	−5.92708	+	2.05138i	−0.293434	+	0.101559i
$409$	3.67132	−	7.12136i	0.181535	−	0.352129i	−0.780456	−	0.625211i	$-0.785013\pi$
$409$	3.67132	−	7.12136i	0.181535	−	0.352129i	0.961991	+	0.273082i	$0.0880432\pi$
$410$	20.1534	+	6.97516i	0.995306	+	0.344479i
$411$	3.51843	−	3.35481i	0.173551	−	0.165481i
$412$	−1.69467	+	3.71081i	−0.0834904	+	0.182819i
$413$	1.25830	−	31.2202i	0.0619169	−	1.53625i
$414$	1.69857	−	4.48496i	0.0834803	−	0.220424i
$415$	6.72036	−	11.6400i	0.329890	−	0.571386i
$416$	−0.636413	−	6.66482i	−0.0312027	−	0.326770i
$417$	2.69424	+	11.1058i	0.131938	+	0.543854i
$418$	4.13633	+	21.4613i	0.202314	+	1.04971i
$419$	31.7193	−	20.3847i	1.54959	−	0.995860i	0.564181	−	0.825651i	$-0.309192\pi$
$419$	31.7193	−	20.3847i	1.54959	−	0.995860i	0.985408	−	0.170209i	$-0.0544442\pi$
$420$	4.93065	+	4.63296i	0.240591	+	0.226065i
$421$	9.28929	+	1.33560i	0.452732	+	0.0650930i	0.364909	−	0.931043i	$-0.381100\pi$
$421$	9.28929	+	1.33560i	0.452732	+	0.0650930i	0.0878228	+	0.996136i	$0.472009\pi$
$422$	−3.03203	+	12.4982i	−0.147597	+	0.608402i
$423$	−1.22737	−	0.0584667i	−0.0596766	−	0.00284275i
$424$	−7.26356	−	9.23636i	−0.352749	−	0.448557i
$425$	9.61126	+	0.917764i	0.466215	+	0.0445181i
$426$	−10.1864	+	4.65198i	−0.493534	+	0.225389i
$427$	7.43739	−	5.37859i	0.359920	−	0.260288i
$428$	−5.48226	+	8.53056i	−0.264995	+	0.412340i
$429$	−34.6638	−	8.40935i	−1.67358	−	0.406007i
$430$	−4.72013	−	11.7903i	−0.227625	−	0.568580i
$431$	0.730549	−	3.79045i	0.0351893	−	0.182579i	−0.960081	−	0.279721i	$-0.909758\pi$
$431$	0.730549	−	3.79045i	0.0351893	−	0.182579i	0.995271	+	0.0971418i	$0.0309700\pi$
$432$	0.998867	−	0.0475819i	0.0480580	−	0.00228929i
$433$	−0.451427	−	0.520974i	−0.0216942	−	0.0250364i	0.744799	−	0.667289i	$-0.232545\pi$
$433$	−0.451427	−	0.520974i	−0.0216942	−	0.0250364i	−0.766493	+	0.642253i	$0.778000\pi$
$434$	−12.3888	−	14.0877i	−0.594679	−	0.676234i
$435$	1.94504	+	0.888271i	0.0932577	+	0.0425893i
$436$	−5.24421	−	3.02775i	−0.251152	−	0.145003i
$437$	−5.89622	−	18.7703i	−0.282054	−	0.897904i
$438$	1.04180	+	1.80444i	0.0497790	+	0.0862197i
$439$	−11.3333	+	8.07040i	−0.540909	+	0.385179i	−0.817606	−	0.575778i	$-0.804699\pi$
$439$	−11.3333	+	8.07040i	−0.540909	+	0.385179i	0.276698	+	0.960957i	$0.410760\pi$
$440$	3.83831	−	13.0721i	0.182984	−	0.623187i
$441$	4.14341	+	5.64200i	0.197305	+	0.268667i
$442$	−22.7027	−	35.3260i	−1.07986	−	1.68029i
$443$	−11.3097	−	32.6771i	−0.537338	−	1.55254i	−0.807588	−	0.589747i	$-0.799227\pi$
$443$	−11.3097	−	32.6771i	−0.537338	−	1.55254i	0.270250	−	0.962790i	$-0.412894\pi$
$444$	2.04608	−	0.819127i	0.0971027	−	0.0388740i
$445$	−8.78570	−	8.37715i	−0.416482	−	0.397115i
$446$	5.26109	+	10.2051i	0.249120	+	0.483225i
$447$	1.41594	+	9.84810i	0.0669718	+	0.465799i
$448$	2.62151	+	0.357356i	0.123855	+	0.0168835i
$449$	−6.74677	−	14.7734i	−0.318400	−	0.697198i	0.680984	−	0.732298i	$-0.261552\pi$
$449$	−6.74677	−	14.7734i	−0.318400	−	0.697198i	−0.999384	+	0.0351002i	$0.988825\pi$
$450$	−1.42910	−	0.572125i	−0.0673684	−	0.0269703i
$451$	2.11410	−	44.3804i	0.0995490	−	2.08979i
$452$	5.87040	−	6.15670i	0.276121	−	0.289587i
$453$	3.66156	−	4.65605i	0.172035	−	0.218760i
$454$	−8.90283	+	10.2744i	−0.417831	+	0.482202i
$455$	−22.3612	+	39.3937i	−1.04831	+	1.84680i
$456$	3.10041	−	2.68652i	0.145190	−	0.125808i
$457$	16.4699	+	17.2731i	0.770429	+	0.808002i	0.985693	−	0.168554i	$-0.0539096\pi$
$457$	16.4699	+	17.2731i	0.770429	+	0.808002i	−0.215264	+	0.976556i	$0.569061\pi$
$458$	20.2690	−	1.93545i	0.947107	−	0.0904377i
$459$	5.43174	−	3.13602i	0.253532	−	0.146377i
$460$	−2.09460	+	12.0838i	−0.0976613	+	0.563410i
$461$			15.0800i			0.702345i	0.936311	+	0.351172i	$0.114217\pi$
$461$			15.0800i			0.702345i	−0.936311	+	0.351172i	$0.885783\pi$
$462$	6.36713	−	12.5756i	0.296226	−	0.585070i
$463$	0.705452	+	0.207139i	0.0327851	+	0.00962659i	0.298084	−	0.954540i	$-0.403652\pi$
$463$	0.705452	+	0.207139i	0.0327851	+	0.00962659i	−0.265299	+	0.964166i	$0.585471\pi$
$464$	0.821061	−	0.158247i	0.0381168	−	0.00734641i
$465$	16.1168	+	8.30878i	0.747398	+	0.385310i
$466$	6.79743	+	1.31010i	0.314885	+	0.0606891i
$467$	−7.56071	−	5.94581i	−0.349868	−	0.275139i	0.427723	−	0.903910i	$-0.359316\pi$
$467$	−7.56071	−	5.94581i	−0.349868	−	0.275139i	−0.777591	+	0.628771i	$0.783558\pi$
$468$	1.88624	+	6.42394i	0.0871914	+	0.296947i
$469$	18.3243	−	26.1355i	0.846136	−	1.20683i
$470$	3.11022	−	0.447182i	0.143464	−	0.0206270i
$471$	−0.138059	+	1.44582i	−0.00636141	+	0.0666197i
$472$	9.61991	+	6.85031i	0.442792	+	0.315311i
$473$	−20.7981	+	16.3558i	−0.956299	+	0.752042i
$474$	−12.6177	+	6.50486i	−0.579549	+	0.298778i
$475$	−6.05935	+	1.77919i	−0.278022	+	0.0816346i
$476$	15.6414	−	5.54206i	0.716925	−	0.254020i
$477$	8.88029	+	7.69481i	0.406600	+	0.352321i
$478$	1.33727	+	28.0727i	0.0611652	+	1.28402i
$479$	9.67689	−	27.9595i	0.442149	−	1.27750i	−0.475361	−	0.879791i	$-0.657683\pi$
$479$	9.67689	−	27.9595i	0.442149	−	1.27750i	0.917510	−	0.397713i	$-0.130196\pi$
$480$	−2.48513	+	0.602887i	−0.113430	+	0.0275179i
$481$	8.55919	+	12.0197i	0.390265	+	0.548051i
$482$	−13.2285			−0.602540
$483$	−4.40705	+	11.8987i	−0.200528	+	0.541407i
$484$	−17.3837			−0.790170
$485$	−5.47474	−	7.68819i	−0.248595	−	0.349103i
$486$	−0.971812	+	0.235759i	−0.0440823	+	0.0106942i
$487$	6.13229	−	17.7181i	0.277881	−	0.802883i	−0.716554	−	0.697531i	$-0.754282\pi$
$487$	6.13229	−	17.7181i	0.277881	−	0.802883i	0.994435	−	0.105352i	$-0.0335969\pi$
$488$	0.165068	+	3.46520i	0.00747227	+	0.156862i
$489$	15.8039	+	13.6942i	0.714679	+	0.619273i
$490$	−13.1346	−	12.1619i	−0.593362	−	0.549417i
$491$	2.69398	−	0.791023i	0.121577	−	0.0356984i	−0.220378	−	0.975415i	$-0.570729\pi$
$491$	2.69398	−	0.791023i	0.121577	−	0.0356984i	0.341955	+	0.939716i	$0.388911\pi$
$492$	−7.41259	+	3.82145i	−0.334185	+	0.172284i
$493$	4.12246	−	3.24194i	0.185666	−	0.146009i
$494$	22.3734	+	15.9320i	1.00663	+	0.716816i
$495$	−1.29504	+	13.5622i	−0.0582076	+	0.609578i
$496$	7.01852	−	1.00911i	0.315141	−	0.0453104i
$497$	26.8600	−	12.5049i	1.20483	−	0.560920i
$498$	1.48078	+	5.04309i	0.0663555	+	0.225986i
$499$	6.31990	+	4.97002i	0.282918	+	0.222489i	0.749526	−	0.661975i	$-0.230282\pi$
$499$	6.31990	+	4.97002i	0.282918	+	0.222489i	−0.466608	+	0.884464i	$0.654524\pi$
$500$	−8.68967	−	1.67480i	−0.388614	−	0.0748992i
$501$	18.3372	+	9.45350i	0.819247	+	0.422351i
$502$	−18.3517	+	3.53699i	−0.819074	+	0.157864i
$503$	−15.5438	−	4.56407i	−0.693064	−	0.203502i	−0.0838155	−	0.996481i	$-0.526711\pi$
$503$	−15.5438	−	4.56407i	−0.693064	−	0.203502i	−0.609249	+	0.792979i	$0.708529\pi$
$504$	−2.64176	+	0.145225i	−0.117673	+	0.00646885i
$505$		−	29.1061i		−	1.29521i
$506$	25.3847	−	2.90556i	1.12849	−	0.129168i
$507$	−27.5611	+	15.9124i	−1.22403	+	0.706695i
$508$	0.287109	−	0.0274156i	0.0127384	−	0.00121637i
$509$	−4.06602	−	4.26432i	−0.180223	−	0.189013i	0.627426	−	0.778677i	$-0.284109\pi$
$509$	−4.06602	−	4.26432i	−0.180223	−	0.189013i	−0.807649	+	0.589664i	$0.799260\pi$
$510$	−12.1214	+	10.5033i	−0.536747	+	0.465094i
$511$	−2.79120	−	4.75381i	−0.123475	−	0.210296i
$512$	−0.654861	+	0.755750i	−0.0289410	+	0.0333997i
$513$	−2.53596	+	3.22473i	−0.111965	+	0.142375i
$514$	0.606194	−	0.635758i	0.0267381	−	0.0280421i
$515$	−0.496378	+	10.4203i	−0.0218730	+	0.459172i
$516$	4.61060	+	1.84581i	0.202970	+	0.0812571i
$517$	−2.71947	−	5.95480i	−0.119602	−	0.261892i
$518$	−5.39742	+	2.20676i	−0.237149	+	0.0969595i
$519$	−2.49044	−	17.3214i	−0.109318	−	0.760324i
$520$	−7.84526	−	15.2177i	−0.344038	−	0.667340i
$521$	9.45963	+	9.01974i	0.414434	+	0.395162i	0.868406	−	0.495854i	$-0.165145\pi$
$521$	9.45963	+	9.01974i	0.414434	+	0.395162i	−0.453972	+	0.891016i	$0.649993\pi$
$522$	−0.776275	+	0.310774i	−0.0339766	+	0.0136022i
$523$	−9.10377	−	26.3036i	−0.398080	−	1.15018i	−0.948907	−	0.315557i	$-0.897809\pi$
$523$	−9.10377	−	26.3036i	−0.398080	−	1.15018i	0.550826	−	0.834620i	$-0.314313\pi$
$524$	2.86327	+	4.45534i	0.125083	+	0.194632i
$525$	3.79202	+	1.48599i	0.165497	+	0.0648540i
$526$	−2.17666	+	7.41301i	−0.0949067	+	0.323223i
$527$	36.2267	−	25.7969i	1.57806	−	1.12373i
$528$	2.66382	+	4.61387i	0.115928	+	0.200793i
$529$	−22.4051	+	5.19712i	−0.974136	+	0.225962i
$530$	−26.0224	−	15.0240i	−1.13034	−	0.652603i
$531$	−10.7425	−	4.90593i	−0.466185	−	0.212899i
$532$	−8.15069	+	7.16771i	−0.353377	+	0.310759i
$533$	−36.5643	−	42.1974i	−1.58377	−	1.82777i
$534$	4.74174	−	0.225877i	0.205195	−	0.00977464i
$535$	−4.90747	+	25.4624i	−0.212168	+	1.10083i
$536$	4.48387	+	11.2002i	0.193674	+	0.483774i
$537$	−21.0497	−	5.10661i	−0.908362	−	0.220366i
$538$	0.903458	−	1.40581i	0.0389508	−	0.0606087i
$539$	−16.6019	+	33.3943i	−0.715095	+	1.43839i
$540$	2.32613	−	1.06231i	0.100101	−	0.0457144i
$541$	−17.2801	−	1.65005i	−0.742928	−	0.0709410i	−0.283274	−	0.959039i	$-0.591420\pi$
$541$	−17.2801	−	1.65005i	−0.742928	−	0.0709410i	−0.459654	+	0.888098i	$0.652027\pi$
$542$	9.47757	+	12.0517i	0.407096	+	0.517665i
$543$	−7.74563	−	0.368970i	−0.332397	−	0.0158340i
$544$	−1.47869	+	6.09524i	−0.0633983	+	0.261331i
$545$	−15.3276	−	2.20378i	−0.656562	−	0.0943994i
$546$	−5.11475	−	16.9592i	−0.218891	−	0.725785i
$547$	−34.9404	+	22.4548i	−1.49394	+	0.960098i	−0.498284	+	0.867014i	$0.666036\pi$
$547$	−34.9404	+	22.4548i	−1.49394	+	0.960098i	−0.995658	+	0.0930839i	$0.970328\pi$
$548$	−0.920044	−	4.77364i	−0.0393023	−	0.203920i
$549$	−0.817878	−	3.37134i	−0.0349062	−	0.143885i
$550$	−0.779574	−	8.16406i	−0.0332411	−	0.348117i
$551$	−1.71517	+	2.97076i	−0.0730687	+	0.126559i
$552$	−2.85467	−	3.85368i	−0.121503	−	0.164024i
$553$	33.2564	−	17.4541i	1.41421	−	0.742223i
$554$	−1.17023	+	2.56245i	−0.0497184	+	0.108868i
$555$	4.07896	−	3.88928i	0.173142	−	0.165091i
$556$	10.7994	+	3.73772i	0.457997	+	0.158514i
$557$	7.69881	−	14.9336i	0.326209	−	0.632758i	−0.667517	−	0.744594i	$-0.732643\pi$
$557$	7.69881	−	14.9336i	0.326209	−	0.632758i	0.993727	+	0.111837i	$0.0356733\pi$
$558$	−6.70071	+	2.31914i	−0.283664	+	0.0981770i
$559$	−4.73203	+	32.9120i	−0.200143	+	1.39203i
$560$	6.56320	−	1.64316i	0.277346	−	0.0694362i
$561$	28.1106	+	18.0656i	1.18683	+	0.762730i
$562$	−8.79109	+	21.9591i	−0.370830	+	0.926288i
$563$	−0.218934	+	0.307449i	−0.00922695	+	0.0129574i	−0.819164	−	0.573560i	$-0.805562\pi$
$563$	−0.218934	+	0.307449i	−0.00922695	+	0.0129574i	0.809937	+	0.586517i	$0.199501\pi$
$564$	−0.712750	+	1.00092i	−0.0300122	+	0.0421462i
$565$	8.08511	−	20.1956i	0.340143	−	0.849636i
$566$	−6.10101	−	3.92088i	−0.256445	−	0.164807i
$567$	2.56654	−	0.642558i	0.107784	−	0.0269849i
$568$	−1.59370	+	11.0844i	−0.0668701	+	0.465092i
$569$	10.1540	−	3.51432i	0.425676	−	0.147328i	−0.105827	−	0.994385i	$-0.533749\pi$
$569$	10.1540	−	3.51432i	0.425676	−	0.147328i	0.531502	+	0.847057i	$0.321628\pi$
$570$	4.80717	−	9.32461i	0.201350	−	0.390565i
$571$	−38.5905	−	13.3563i	−1.61496	−	0.558945i	−0.637574	−	0.770389i	$-0.720062\pi$
$571$	−38.5905	−	13.3563i	−1.61496	−	0.558945i	−0.977390	+	0.211444i	$0.932183\pi$
$572$	−25.8151	+	24.6146i	−1.07938	+	1.02919i
$573$	−1.94207	+	4.25254i	−0.0811311	+	0.177652i
$574$	19.5373	−	10.2539i	0.815473	−	0.427988i
$575$	1.53294	+	7.22165i	0.0639278	+	0.301163i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	1.00331	+	10.5072i	0.0417684	+	0.437419i	0.992033	+	0.125976i	$0.0402062\pi$
$577$	1.00331	+	10.5072i	0.0417684	+	0.437419i	−0.950265	+	0.311443i	$0.899188\pi$
$578$	5.26649	+	21.7088i	0.219057	+	0.902966i
$579$	1.79537	+	9.31528i	0.0746132	+	0.387130i
$580$	1.79883	−	1.15604i	0.0746924	−	0.0480019i
$581$	−4.01532	−	13.3137i	−0.166584	−	0.552347i
$582$	3.65327	+	0.525261i	0.151433	+	0.0217728i
$583$	−14.7588	+	60.8367i	−0.611248	+	2.51960i
$584$	2.08123	+	0.0991413i	0.0861220	+	0.00410250i
$585$	10.5835	+	13.4580i	0.437572	+	0.556418i
$586$	17.7474	+	1.69467i	0.733137	+	0.0700061i
$587$	8.23604	−	3.76127i	0.339938	−	0.155244i	−0.238130	−	0.971233i	$-0.576534\pi$
$587$	8.23604	−	3.76127i	0.339938	−	0.155244i	0.578067	+	0.815989i	$0.303807\pi$
$588$	6.98645	−	0.435366i	0.288116	−	0.0179542i
$589$	−15.7268	+	24.4713i	−0.648010	+	1.00832i
$590$	29.3487	+	7.11993i	1.20827	+	0.293123i
$591$	−1.45475	−	3.63380i	−0.0598406	−	0.149474i
$592$	0.417101	−	2.16413i	0.0171427	−	0.0889450i
$593$	34.7065	−	1.65328i	1.42523	−	0.0678919i	0.679271	−	0.733888i	$-0.262296\pi$
$593$	34.7065	−	1.65328i	1.42523	−	0.0678919i	0.745956	+	0.665996i	$0.231993\pi$
$594$	−3.48886	−	4.02636i	−0.143150	−	0.165204i
$595$	31.8661	−	28.0230i	1.30638	−	1.14883i
$596$	9.05027	+	4.13312i	0.370713	+	0.169299i
$597$	−2.63820	−	1.52317i	−0.107975	−	0.0623391i
$598$	20.5677	−	24.6564i	0.841077	−	1.00828i
$599$	4.02036	+	6.96346i	0.164267	+	0.284519i	0.936395	−	0.350948i	$-0.114141\pi$
$599$	4.02036	+	6.96346i	0.164267	+	0.284519i	−0.772127	+	0.635468i	$0.780807\pi$
$600$	−1.25393	+	0.892921i	−0.0511916	+	0.0364534i
$601$	7.37400	−	25.1135i	0.300792	−	1.02440i	−0.660947	−	0.750433i	$-0.729845\pi$
$601$	7.37400	−	25.1135i	0.300792	−	1.02440i	0.961738	−	0.273969i	$-0.0883367\pi$
$602$	−12.2339	−	4.79415i	−0.498617	−	0.195395i
$603$	−6.52249	−	10.1492i	−0.265616	−	0.413307i
$604$	−1.93733	−	5.59754i	−0.0788288	−	0.227761i
$605$	−41.2697	+	16.5219i	−1.67785	+	0.671710i
$606$	8.23751	+	7.85445i	0.334626	+	0.319065i
$607$	17.0769	+	33.1246i	0.693131	+	1.34449i	0.928044	+	0.372471i	$0.121489\pi$
$607$	17.0769	+	33.1246i	0.693131	+	1.34449i	−0.234912	+	0.972017i	$0.575480\pi$
$608$	−0.583837	−	4.06068i	−0.0236777	−	0.164682i
$609$	2.04776	−	0.837237i	0.0829794	−	0.0339266i
$610$	3.68528	+	8.06964i	0.149213	+	0.326730i
$611$	−7.63741	−	3.05756i	−0.308977	−	0.123696i
$612$	0.298436	−	6.26493i	0.0120635	−	0.253245i
$613$	−2.79383	+	2.93009i	−0.112842	+	0.118345i	−0.777732	−	0.628596i	$-0.783630\pi$
$613$	−2.79383	+	2.93009i	−0.112842	+	0.118345i	0.664890	+	0.746941i	$0.268478\pi$
$614$	12.4600	−	15.8442i	0.502846	−	0.639421i
$615$	−13.9658	+	16.1174i	−0.563155	+	0.649915i
$616$	−7.13694	−	12.1553i	−0.287556	−	0.489749i
$617$	−19.2440	+	16.6751i	−0.774736	+	0.671313i	−0.949665	−	0.313268i	$-0.898576\pi$
$617$	−19.2440	+	16.6751i	−0.774736	+	0.671313i	0.174928	+	0.984581i	$0.444031\pi$
$618$	−2.81515	−	2.95245i	−0.113242	−	0.118765i
$619$	−22.7105	+	2.16859i	−0.912811	+	0.0871629i	−0.540882	−	0.841098i	$-0.681910\pi$
$619$	−22.7105	+	2.16859i	−0.912811	+	0.0871629i	−0.371929	+	0.928261i	$0.621303\pi$
$620$	15.7032	−	9.06623i	0.630655	−	0.364109i
$621$	3.53240	+	3.24379i	0.141750	+	0.130169i
$622$			18.1905i			0.729373i
$623$	−12.5407	+	0.689401i	−0.502434	+	0.0276203i
$624$	6.42394	+	1.88624i	0.257163	+	0.0755099i
$625$	−29.7791	+	5.73946i	−1.19117	+	0.229578i
$626$	−13.2690	−	6.84064i	−0.530336	−	0.273407i
$627$	−21.4613	−	4.13633i	−0.857082	−	0.165189i
$628$	1.14166	+	0.897810i	0.0455571	+	0.0358265i
$629$	−3.89447	−	13.2633i	−0.155283	−	0.528844i
$630$	−6.13362	+	2.85556i	−0.244369	+	0.113768i
$631$	22.1075	−	3.17858i	0.880086	−	0.126537i	0.312565	−	0.949896i	$-0.398812\pi$
$631$	22.1075	−	3.17858i	0.880086	−	0.126537i	0.567521	+	0.823359i	$0.307903\pi$
$632$	−1.34939	+	14.1315i	−0.0536759	+	0.562119i
$633$	−10.4760	−	7.45994i	−0.416384	−	0.296506i
$634$	−1.60732	+	1.26401i	−0.0638350	+	0.0502004i
$635$	0.655552	−	0.337960i	0.0260148	−	0.0134116i
$636$	11.2743	−	3.31044i	0.447056	−	0.131268i
$637$	13.8603	+	44.7695i	0.549167	+	1.77383i
$638$	−3.36673	−	2.91729i	−0.133290	−	0.115497i
$639$	−0.532841	−	11.1857i	−0.0210789	−	0.442500i
$640$	−0.836384	+	2.41657i	−0.0330610	+	0.0955235i
$641$	3.51492	−	0.852710i	0.138831	−	0.0336800i	−0.165741	−	0.986169i	$-0.553002\pi$
$641$	3.51492	−	0.852710i	0.138831	−	0.0336800i	0.304572	+	0.952489i	$0.401487\pi$
$642$	−5.88195	−	8.26004i	−0.232142	−	0.325998i
$643$	34.3149			1.35325			0.676624	−	0.736329i	$-0.263442\pi$
$643$	34.3149			1.35325			0.676624	+	0.736329i	$0.263442\pi$
$644$	7.62715	+	10.1403i	0.300552	+	0.399585i
$645$	12.7001			0.500064
$646$	−14.9252	−	20.9595i	−0.587225	−	0.824642i
$647$	−16.3845	+	3.97483i	−0.644139	+	0.156267i	−0.544505	−	0.838758i	$-0.683282\pi$
$647$	−16.3845	+	3.97483i	−0.644139	+	0.156267i	−0.0996344	+	0.995024i	$0.531767\pi$
$648$	−0.327068	+	0.945001i	−0.0128484	+	0.0371231i
$649$	−2.99375	−	62.8466i	−0.117515	−	2.46695i
$650$	−7.78897	−	6.74918i	−0.305508	−	0.264725i
$651$	17.6830	−	6.26543i	0.693053	−	0.245562i
$652$	20.0645	−	5.89148i	0.785788	−	0.230728i
$653$	−23.6984	+	12.2174i	−0.927390	+	0.478103i	−0.854624	−	0.519247i	$-0.826213\pi$
$653$	−23.6984	+	12.2174i	−0.927390	+	0.478103i	−0.0727650	+	0.997349i	$0.523182\pi$
$654$	4.75994	−	3.74326i	0.186128	−	0.146373i
$655$	11.0320	+	7.85583i	0.431055	+	0.306953i
$656$	−0.792735	+	8.30190i	−0.0309511	+	0.324135i
$657$	−2.06239	+	0.296526i	−0.0804613	+	0.0115686i
$658$	1.86633	−	2.66191i	0.0727571	−	0.103772i
$659$	1.97262	+	6.71812i	0.0768423	+	0.261701i	0.988950	−	0.148250i	$-0.0473640\pi$
$659$	1.97262	+	6.71812i	0.0768423	+	0.261701i	−0.912108	+	0.409951i	$0.865546\pi$
$660$	10.7091	+	8.42176i	0.416853	+	0.327817i
$661$	32.9943	+	6.35914i	1.28333	+	0.247342i	0.784919	−	0.619598i	$-0.212704\pi$
$661$	32.9943	+	6.35914i	1.28333	+	0.247342i	0.498412	+	0.866940i	$0.333917\pi$
$662$	−21.6344	−	11.1533i	−0.840844	−	0.433485i
$663$	41.2333	−	7.94707i	1.60137	−	0.308638i
$664$	5.04309	+	1.48078i	0.195710	+	0.0574656i
$665$	−12.5377	+	24.7630i	−0.486191	+	0.960268i
$666$			2.20395i			0.0854015i
$667$	3.30964	+	2.26440i	0.128150	+	0.0876781i
$668$	17.8666	−	10.3153i	0.691281	−	0.399111i
$669$	−11.4294	+	1.09138i	−0.441888	+	0.0421951i
$670$	21.2898	+	22.3281i	0.822496	+	0.862609i
$671$	13.9680	−	12.1033i	0.539227	−	0.467243i
$672$	−1.30607	+	2.30091i	−0.0503829	+	0.0887594i
$673$	−14.2148	+	16.4048i	−0.547941	+	0.632358i	−0.960402	−	0.278617i	$-0.910124\pi$
$673$	−14.2148	+	16.4048i	−0.547941	+	0.632358i	0.412461	+	0.910975i	$0.364669\pi$
$674$	−11.3514	+	14.4344i	−0.437239	+	0.555994i
$675$	1.06229	−	1.11409i	0.0408874	−	0.0428815i
$676$	−1.51429	+	31.7888i	−0.0582418	+	1.22265i
$677$	39.9356	+	15.9878i	1.53485	+	0.614461i	0.976572	−	0.215192i	$-0.0690378\pi$
$677$	39.9356	+	15.9878i	1.53485	+	0.614461i	0.558279	+	0.829654i	$0.311462\pi$
$678$	3.53388	+	7.73811i	0.135718	+	0.297180i
$679$	−9.67555	−	1.31894i	−0.371314	−	0.0506164i
$680$	2.28258	+	15.8757i	0.0875331	+	0.608806i
$681$	−6.22959	−	12.0837i	−0.238718	−	0.463049i
$682$	−27.3403	−	26.0689i	−1.04691	−	0.998229i
$683$	−5.96456	+	2.38785i	−0.228228	+	0.0913685i	−0.482958	−	0.875644i	$-0.660438\pi$
$683$	−5.96456	+	2.38785i	−0.228228	+	0.0913685i	0.254730	+	0.967012i	$0.418013\pi$
$684$	1.34177	+	3.87680i	0.0513040	+	0.148233i
$685$	−6.72119	−	10.4584i	−0.256804	−	0.399594i
$686$	−18.4755	+	1.28710i	−0.705397	+	0.0491418i
$687$	−5.73640	+	19.5364i	−0.218857	+	0.745360i
$688$	4.04547	−	2.88077i	0.154232	−	0.109828i
$689$	39.3349	+	68.1301i	1.49854	+	2.59555i
$690$	−10.4397	−	6.43565i	−0.397433	−	0.245001i
$691$	−8.29793	−	4.79081i	−0.315668	−	0.182251i	0.333792	−	0.942647i	$-0.391672\pi$
$691$	−8.29793	−	4.79081i	−0.315668	−	0.182251i	−0.649460	+	0.760396i	$0.725005\pi$
$692$	−15.9181	−	7.26956i	−0.605116	−	0.276347i
$693$	9.30836	+	10.5849i	0.353596	+	0.402088i
$694$	−11.7361	−	13.5442i	−0.445496	−	0.514129i
$695$	29.1907	−	1.39052i	1.10726	−	0.0527455i
$696$	−0.158247	+	0.821061i	−0.00599832	+	0.0311222i
$697$	19.4404	+	48.5598i	0.736359	+	1.83933i
$698$	−3.89095	−	0.943935i	−0.147275	−	0.0357285i
$699$	−3.74260	+	5.82360i	−0.141558	+	0.220269i
$700$	3.30022	−	2.38666i	0.124736	−	0.0902073i
$701$	2.17373	−	0.992708i	0.0821005	−	0.0374941i	−0.373942	−	0.927452i	$-0.621994\pi$
$701$	2.17373	−	0.992708i	0.0821005	−	0.0374941i	0.456042	+	0.889958i	$0.349267\pi$
$702$	−6.66482	−	0.636413i	−0.251547	−	0.0240199i
$703$	5.58913	+	7.10716i	0.210798	+	0.268051i
$704$	5.32160	+	0.253499i	0.200565	+	0.00955411i
$705$	−0.740803	+	3.05363i	−0.0279003	+	0.115006i
$706$	−29.7423	−	4.27629i	−1.11937	−	0.160940i
$707$	−21.9459	−	20.6209i	−0.825360	−	0.775528i
$708$	−9.93497	+	6.38482i	−0.373379	+	0.239956i
$709$	−5.28785	−	27.4360i	−0.198589	−	1.03038i	−0.935215	−	0.354079i	$-0.884794\pi$
$709$	−5.28785	−	27.4360i	−0.198589	−	1.03038i	0.736626	−	0.676300i	$-0.236418\pi$
$710$	6.75137	+	27.8295i	0.253374	+	1.04442i
$711$	−1.34939	−	14.1315i	−0.0506061	−	0.529971i
$712$	2.37356	−	4.11112i	0.0889528	−	0.154071i
$713$	27.1201	+	20.5157i	1.01566	+	0.768319i
$714$	−0.668272	+	16.5808i	−0.0250094	+	0.620521i
$715$	−37.8917	+	82.9713i	−1.41707	+	3.10295i
$716$	−15.6763	+	14.9473i	−0.585850	+	0.558607i
$717$	−26.5588	−	9.19209i	−0.991857	−	0.343285i
$718$	2.41936	−	4.69290i	0.0902896	−	0.175137i
$719$	5.78624	−	2.00264i	0.215790	−	0.0746858i	−0.217034	−	0.976164i	$-0.569638\pi$
$719$	5.78624	−	2.00264i	0.215790	−	0.0746858i	0.432824	+	0.901478i	$0.357517\pi$
$720$	0.363930	−	2.53119i	0.0135629	−	0.0943319i
$721$	7.50515	+	7.75673i	0.279507	+	0.288876i
$722$	−1.82556	−	1.17322i	−0.0679402	−	0.0436625i
$723$	4.91652	−	12.2809i	0.182847	−	0.456731i
$724$	−4.49800	+	6.31656i	−0.167167	+	0.234753i
$725$	0.746636	−	1.04850i	0.0277294	−	0.0389404i
$726$	6.46088	−	16.1385i	0.239786	−	0.598956i
$727$	−2.02835	−	1.30354i	−0.0752273	−	0.0483456i	0.502486	−	0.864585i	$-0.332419\pi$
$727$	−2.02835	−	1.30354i	−0.0752273	−	0.0483456i	−0.577714	+	0.816239i	$0.696055\pi$
$728$	−17.0322	−	4.86601i	−0.631255	−	0.180346i
$729$	0.142315	−	0.989821i	0.00527092	−	0.0366601i
$730$	5.03516	−	1.74268i	0.186360	−	0.0644997i
$731$	14.2734	−	27.6865i	0.527920	−	1.02402i
$732$	−3.27833	−	1.13464i	−0.121171	−	0.0419375i
$733$	−13.0007	+	12.3961i	−0.480192	+	0.457862i	−0.891095	−	0.453817i	$-0.850062\pi$
$733$	−13.0007	+	12.3961i	−0.480192	+	0.457862i	0.410903	+	0.911679i	$0.365213\pi$
$734$	15.6881	−	34.3521i	0.579058	−	1.26796i
$735$	16.1723	−	7.67365i	0.596525	−	0.283047i
$736$	−4.78527	+	0.318043i	−0.176388	+	0.0117232i
$737$	32.1373	−	55.6634i	1.18379	−	2.05039i
$738$	−0.792735	−	8.30190i	−0.0291810	−	0.305597i
$739$	10.2446	+	42.2290i	0.376855	+	1.55342i	0.772500	+	0.635014i	$0.219006\pi$
$739$	10.2446	+	42.2290i	0.376855	+	1.55342i	−0.395645	+	0.918403i	$0.629479\pi$
$740$	−1.06662	−	5.53414i	−0.0392097	−	0.203439i
$741$	−23.1062	+	14.8494i	−0.848826	+	0.545507i
$742$	−29.7642	+	8.97665i	−1.09268	+	0.329543i
$743$	−5.57761	−	0.801940i	−0.204623	−	0.0294203i	0.0392412	−	0.999230i	$-0.487506\pi$
$743$	−5.57761	−	0.801940i	−0.204623	−	0.0294203i	−0.243864	+	0.969809i	$0.578415\pi$
$744$	−1.67170	+	6.89082i	−0.0612873	+	0.252630i
$745$	25.4139	+	1.21061i	0.931094	+	0.0443535i
$746$	−5.96310	−	7.58270i	−0.218325	−	0.277622i
$747$	−5.23219	−	0.499614i	−0.191436	−	0.0182799i
$748$	30.3955	−	13.8812i	1.11137	−	0.507545i
$749$	15.7217	+	21.7396i	0.574458	+	0.794346i
$750$	4.78445	−	7.44475i	0.174703	−	0.271844i
$751$	−0.936411	−	0.227171i	−0.0341701	−	0.00828958i	0.218637	−	0.975806i	$-0.429839\pi$
$751$	−0.936411	−	0.227171i	−0.0341701	−	0.00828958i	−0.252808	+	0.967517i	$0.581354\pi$
$752$	0.456684	+	1.14074i	0.0166535	+	0.0415985i
$753$	3.53699	−	18.3517i	0.128895	−	0.668771i
$754$	−5.59194	+	0.266377i	−0.203647	+	0.00970088i
$755$	−9.91933	−	11.4475i	−0.361001	−	0.416618i
$756$	0.847021	−	2.50650i	0.0308059	−	0.0911606i
$757$	−41.1475	−	18.7914i	−1.49553	−	0.682986i	−0.511223	−	0.859448i	$-0.670808\pi$
$757$	−41.1475	−	18.7914i	−1.49553	−	0.682986i	−0.984307	+	0.176462i	$0.943535\pi$
$758$	20.6736	+	11.9359i	0.750901	+	0.433533i
$759$	−6.73711	+	24.6462i	−0.244542	+	0.894602i
$760$	−5.24541	−	9.08532i	−0.190271	−	0.329559i
$761$	37.7312	−	26.8683i	1.36776	−	0.973975i	0.368745	−	0.929531i	$-0.379788\pi$
$761$	37.7312	−	26.8683i	1.36776	−	0.973975i	0.999012	−	0.0444444i	$-0.0141517\pi$
$762$	−0.0812559	+	0.276732i	−0.00294359	+	0.0100249i
$763$	−12.5208	+	9.99562i	−0.453283	+	0.361866i
$764$	2.52750	+	3.93287i	0.0914417	+	0.142286i
$765$	−5.24583	−	15.1568i	−0.189664	−	0.547997i
$766$	−1.33265	+	0.533514i	−0.0481507	+	0.0192766i
$767$	−57.2240	−	54.5629i	−2.06624	−	1.97015i
$768$	−0.458227	−	0.888835i	−0.0165348	−	0.0320731i
$769$	2.96226	+	20.6029i	0.106822	+	0.742961i	0.970879	+	0.239569i	$0.0770060\pi$
$769$	2.96226	+	20.6029i	0.106822	+	0.742961i	−0.864058	+	0.503393i	$0.832085\pi$
$770$	−28.4960	−	22.0739i	−1.02692	−	0.795490i
$771$	0.364918	+	0.799058i	0.0131422	+	0.0287774i
$772$	8.80716	+	3.52586i	0.316977	+	0.126898i
$773$	−0.129826	+	2.72538i	−0.00466951	+	0.0980251i	0.995329	+	0.0965372i	$0.0307767\pi$
$773$	−0.129826	+	2.72538i	−0.00466951	+	0.0980251i	−0.999999	+	0.00148797i	$0.999526\pi$
$774$	−3.42718	+	3.59432i	−0.123187	+	0.129195i
$775$	6.74733	−	8.57992i	0.242371	−	0.308200i
$776$	2.41698	−	2.78935i	0.0867647	−	0.100132i
$777$	−0.0426700	−	5.83096i	−0.00153078	−	0.209184i
$778$	14.3303	−	12.4172i	0.513765	−	0.445180i
$779$	−23.6096	−	24.7610i	−0.845902	−	0.887156i
$780$	17.0434	−	1.62745i	0.610252	−	0.0582720i
$781$	51.6680	−	29.8305i	1.84882	−	1.06742i
$782$	−25.7629	+	15.5260i	−0.921281	+	0.555208i
$783$		−	0.836172i		−	0.0298823i
$784$	3.41091	−	6.11275i	0.121818	−	0.218313i
$785$	3.56364	+	1.04638i	0.127192	+	0.0373469i
$786$	−5.20036	+	1.00229i	−0.185491	+	0.0357504i
$787$	46.1566	+	23.7954i	1.64531	+	0.848214i	0.996160	+	0.0875506i	$0.0279040\pi$
$787$	46.1566	+	23.7954i	1.64531	+	0.848214i	0.649146	+	0.760664i	$0.275126\pi$
$788$	−3.84344	−	0.740763i	−0.136917	−	0.0263886i
$789$	−6.07302	−	4.77588i	−0.216205	−	0.170026i
$790$	10.2273	+	34.8311i	0.363873	+	1.23924i
$791$	−9.49932	−	20.4041i	−0.337757	−	0.725488i
$792$	−5.27341	+	0.758202i	−0.187382	+	0.0269415i
$793$	2.20780	−	23.1211i	0.0784012	−	0.821055i
$794$	−25.0509	−	17.8387i	−0.889023	−	0.633071i
$795$	23.6194	−	18.5745i	0.837694	−	0.658770i
$796$	−2.70769	+	1.39591i	−0.0959716	+	0.0494768i
$797$	17.7174	−	5.20229i	0.627581	−	0.184274i	0.0475502	−	0.998869i	$-0.484859\pi$
$797$	17.7174	−	5.20229i	0.627581	−	0.184274i	0.580031	+	0.814594i	$0.303040\pi$
$798$	−3.62496	−	10.2308i	−0.128322	−	0.362166i
$799$	5.82443	+	5.04690i	0.206053	+	0.178546i
$800$	0.0732461	+	1.53762i	0.00258964	+	0.0543633i
$801$	−1.55263	+	4.48603i	−0.0548594	+	0.158506i
$802$	−7.33077	+	1.77843i	−0.258859	+	0.0627984i
$803$	−6.43900	−	9.04231i	−0.227227	−	0.319096i
$804$	−12.0644			−0.425477
$805$	27.7448	+	16.8246i	0.977875	+	0.592988i
$806$	−47.4732			−1.67217
$807$	0.969325	+	1.36123i	0.0341219	+	0.0479175i
$808$	11.0611	−	2.68340i	0.389129	−	0.0944016i
$809$	8.20225	−	23.6988i	0.288376	−	0.833207i	−0.704027	−	0.710173i	$-0.748617\pi$
$809$	8.20225	−	23.6988i	0.288376	−	0.833207i	0.992403	−	0.123034i	$-0.0392623\pi$
$810$	0.121677	+	2.55432i	0.00427531	+	0.0897497i
$811$	4.78770	+	4.14857i	0.168119	+	0.145676i	0.734857	−	0.678222i	$-0.237249\pi$
$811$	4.78770	+	4.14857i	0.168119	+	0.145676i	−0.566738	+	0.823898i	$0.691795\pi$
$812$	0.402774	−	2.17533i	0.0141346	−	0.0763391i
$813$	−14.7109	+	4.31950i	−0.515933	+	0.151492i
$814$	−10.4366	+	5.38044i	−0.365802	+	0.188584i
$815$	42.0346	−	33.0564i	1.47241	−	1.15791i
$816$	−5.10905	−	3.63814i	−0.178853	−	0.127360i
$817$	−1.93668	+	20.2819i	−0.0677560	+	0.709573i
$818$	7.93047	−	1.14023i	0.277282	−	0.0398672i
$819$	17.6453	+	1.55471i	0.616577	+	0.0543260i
$820$	6.00832	+	20.4625i	0.209820	+	0.714581i
$821$	−26.3776	−	20.7436i	−0.920584	−	0.723955i	0.0407994	−	0.999167i	$-0.487010\pi$
$821$	−26.3776	−	20.7436i	−0.920584	−	0.723955i	−0.961384	+	0.275212i	$0.911252\pi$
$822$	4.77364	+	0.920044i	0.166500	+	0.0320902i
$823$	−45.5069	−	23.4604i	−1.58627	−	0.817779i	−0.999970	−	0.00768510i	$-0.997554\pi$
$823$	−45.5069	−	23.4604i	−1.58627	−	0.817779i	−0.586300	−	0.810094i	$-0.699416\pi$
$824$	−4.00574	+	0.772044i	−0.139547	+	0.0268954i
$825$	7.86899	+	2.31054i	0.273963	+	0.0804428i
$826$	26.1611	−	17.0845i	0.910262	−	0.594447i
$827$		−	28.9999i		−	1.00843i	−0.863579	−	0.504213i	$-0.831783\pi$
$827$		−	28.9999i		−	1.00843i	0.863579	−	0.504213i	$-0.168217\pi$
$828$	4.63861	−	1.21791i	0.161203	−	0.0423254i
$829$	1.92588	−	1.11191i	0.0668887	−	0.0386182i	−0.466183	−	0.884688i	$-0.654371\pi$
$829$	1.92588	−	1.11191i	0.0668887	−	0.0386182i	0.533071	+	0.846070i	$0.321038\pi$
$830$	13.3799	−	1.27762i	0.464422	−	0.0443469i
$831$	−1.94396	−	2.03877i	−0.0674354	−	0.0707242i
$832$	5.05985	−	4.38438i	0.175419	−	0.152001i
$833$	1.44702	−	43.8804i	0.0501362	−	1.52037i
$834$	−7.48371	+	8.63667i	−0.259140	+	0.299063i
$835$	32.6122	−	41.4698i	1.12859	−	1.43512i
$836$	−15.0826	+	15.8181i	−0.521641	+	0.547082i
$837$	0.337389	−	7.08267i	0.0116619	−	0.244813i
$838$	35.0039	+	14.0135i	1.20919	+	0.484087i
$839$	−20.1005	−	44.0140i	−0.693946	−	1.51953i	−0.847160	−	0.531338i	$-0.821690\pi$
$839$	−20.1005	−	44.0140i	−0.693946	−	1.51953i	0.153214	−	0.988193i	$-0.451038\pi$
$840$	−0.913838	+	6.70377i	−0.0315304	+	0.231302i
$841$	4.02763	+	28.0128i	0.138884	+	0.965957i
$842$	4.30037	+	8.34155i	0.148200	+	0.287469i
$843$	−17.1188	−	16.3227i	−0.589602	−	0.562185i
$844$	−11.9395	+	4.77984i	−0.410973	+	0.164529i
$845$	26.6178	+	76.9071i	0.915680	+	2.64568i
$846$	−0.664317	−	1.03370i	−0.0228397	−	0.0355393i
$847$	−16.7810	+	42.8224i	−0.576601	+	1.47139i
$848$	3.31044	−	11.2743i	0.113681	−	0.387162i
$849$	5.90754	−	4.20674i	0.202746	−	0.144375i
$850$	4.82749	+	8.36146i	0.165582	+	0.286796i
$851$	8.78308	−	5.88030i	0.301080	−	0.201574i
$852$	−9.69810	−	5.59920i	−0.332251	−	0.191825i
$853$	15.2316	+	6.95604i	0.521520	+	0.238170i	0.658741	−	0.752370i	$-0.271090\pi$
$853$	15.2316	+	6.95604i	0.521520	+	0.238170i	−0.137220	+	0.990541i	$0.543817\pi$
$854$	8.69538	+	2.93843i	0.297550	+	0.100551i
$855$	6.87003	+	7.92843i	0.234950	+	0.271147i
$856$	−10.1288	+	0.482495i	−0.346196	+	0.0164913i
$857$	−9.10915	+	47.2628i	−0.311163	+	1.61447i	0.403488	+	0.914985i	$0.367798\pi$
$857$	−9.10915	+	47.2628i	−0.311163	+	1.61447i	−0.714651	+	0.699481i	$0.753415\pi$
$858$	−13.2569	−	33.1142i	−0.452584	−	1.13050i
$859$	20.6496	+	5.00953i	0.704554	+	0.170923i	0.572001	−	0.820253i	$-0.306167\pi$
$859$	20.6496	+	5.00953i	0.704554	+	0.170923i	0.132553	+	0.991176i	$0.457683\pi$
$860$	6.86617	−	10.6840i	0.234134	−	0.364320i
$861$	2.25805	+	21.9488i	0.0769543	+	0.748014i
$862$	3.51137	−	1.60359i	0.119598	−	0.0546184i
$863$	−12.8324	−	1.22535i	−0.436821	−	0.0417114i	−0.125671	−	0.992072i	$-0.540108\pi$
$863$	−12.8324	−	1.22535i	−0.436821	−	0.0417114i	−0.311150	+	0.950361i	$0.600714\pi$
$864$	0.618159	+	0.786053i	0.0210302	+	0.0267421i
$865$	−44.6994	−	2.12929i	−1.51982	−	0.0723981i
$866$	0.162520	−	0.669916i	0.00552265	−	0.0227647i
$867$	−22.1111	−	3.17909i	−0.750932	−	0.107968i
$868$	4.28936	−	18.2633i	0.145590	−	0.619896i
$869$	63.6238	−	40.8885i	2.15829	−	1.38705i
$870$	0.404671	+	2.09963i	0.0137196	+	0.0711842i
$871$	−19.0429	−	78.4957i	−0.645243	−	2.65973i
$872$	−0.575611	−	6.02807i	−0.0194927	−	0.204136i
$873$	−1.84542	+	3.19636i	−0.0624580	+	0.108180i
$874$	11.8697	−	15.6907i	0.401498	−	0.530748i
$875$	−12.5140	+	19.7891i	−0.423050	+	0.668992i
$876$	−0.865556	+	1.89530i	−0.0292444	+	0.0640364i
$877$	−36.9117	+	35.1952i	−1.24642	+	1.18846i	−0.272352	+	0.962198i	$0.587802\pi$
$877$	−36.9117	+	35.1952i	−1.24642	+	1.18846i	−0.974067	+	0.226261i	$0.927350\pi$
$878$	−13.1479	−	4.55054i	−0.443720	−	0.153573i
$879$	−8.16930	+	15.8462i	−0.275544	+	0.534480i
$880$	12.8746	−	4.45595i	0.434004	−	0.150210i
$881$	4.56911	−	31.7789i	0.153937	−	1.07066i	−0.755599	−	0.655034i	$-0.772654\pi$
$881$	4.56911	−	31.7789i	0.153937	−	1.07066i	0.909537	−	0.415623i	$-0.136437\pi$
$882$	−2.19242	+	6.64780i	−0.0738226	+	0.223843i
$883$	45.6421	+	29.3324i	1.53598	+	0.987113i	0.988657	+	0.150191i	$0.0479889\pi$
$883$	45.6421	+	29.3324i	1.53598	+	0.987113i	0.547322	+	0.836922i	$0.315647\pi$
$884$	15.6069	−	38.9842i	0.524917	−	1.31118i
$885$	−17.5177	+	24.6002i	−0.588852	+	0.826927i
$886$	20.0578	−	28.1672i	0.673853	−	0.946295i
$887$	8.75495	−	21.8688i	0.293962	−	0.734282i	−0.705705	−	0.708505i	$-0.749370\pi$
$887$	8.75495	−	21.8688i	0.293962	−	0.734282i	0.999668	−	0.0257771i	$-0.00820600\pi$
$888$	1.85408	+	1.19155i	0.0622190	+	0.0399857i
$889$	0.209619	−	0.733718i	0.00703041	−	0.0246081i
$890$	1.72762	−	12.0158i	0.0579099	−	0.402772i
$891$	5.03462	−	1.74250i	0.168666	−	0.0583759i
$892$	−5.26109	+	10.2051i	−0.176154	+	0.341692i
$893$	−4.76366	−	1.64872i	−0.159410	−	0.0551722i
$894$	−7.20070	+	6.86585i	−0.240827	+	0.229629i
$895$	−23.0099	+	50.3846i	−0.769135	+	1.68417i
$896$	1.22953	+	2.34270i	0.0410757	+	0.0782642i
$897$	15.2460	+	28.2583i	0.509049	+	0.943517i
$898$	8.12051	−	14.0651i	0.270985	−	0.469360i
$899$	−0.563591	−	5.90219i	−0.0187968	−	0.196849i
$900$	−0.362920	−	1.49598i	−0.0120973	−	0.0498659i
$901$	−13.9475	−	72.3665i	−0.464659	−	2.41088i
$902$	37.3775	−	24.0210i	1.24453	−	0.799813i
$903$	8.99762	−	9.57577i	0.299422	−	0.318662i
$904$	8.42027	+	1.21065i	0.280054	+	0.0402657i
$905$	−4.67504	+	19.2708i	−0.155404	+	0.640582i
$906$	5.91661	+	0.281843i	0.196566	+	0.00936361i
$907$	22.0376	+	28.0231i	0.731748	+	0.930493i	0.999455	−	0.0330074i	$-0.0105085\pi$
$907$	22.0376	+	28.0231i	0.731748	+	0.930493i	−0.267707	+	0.963500i	$0.586266\pi$
$908$	−13.5334	−	1.29229i	−0.449123	−	0.0428861i
$909$	−10.3534	+	4.72823i	−0.343400	+	0.156826i
$910$	−45.0599	+	4.63568i	−1.49372	+	0.153671i
$911$	3.36060	−	5.22920i	0.111342	−	0.173251i	−0.781111	−	0.624392i	$-0.785347\pi$
$911$	3.36060	−	5.22920i	0.111342	−	0.173251i	0.892452	+	0.451141i	$0.148983\pi$
$912$	3.98679	+	0.967185i	0.132016	+	0.0320267i
$913$	−10.4073	−	25.9962i	−0.344431	−	0.860348i
$914$	−4.51680	+	23.4354i	−0.149402	+	0.775173i
$915$	−8.86127	+	0.422115i	−0.292945	+	0.0139547i
$916$	13.3337	+	15.3879i	0.440559	+	0.508432i
$917$	13.7391	−	2.75242i	0.453705	−	0.0908928i
$918$	5.70525	+	2.60550i	0.188301	+	0.0859943i
$919$	−16.7974	−	9.69800i	−0.554096	−	0.319908i	0.196676	−	0.980468i	$-0.436985\pi$
$919$	−16.7974	−	9.69800i	−0.554096	−	0.319908i	−0.750773	+	0.660561i	$0.770319\pi$
$920$	−11.0582	+	5.30308i	−0.364577	+	0.174837i
$921$	10.0783	+	17.4562i	0.332093	+	0.575201i
$922$	−12.2838	+	8.74725i	−0.404545	+	0.288075i
$923$	21.1228	−	71.9378i	0.695267	−	2.36786i
$924$	13.9371	−	2.10806i	0.458496	−	0.0693500i
$925$	−1.83423	−	2.85412i	−0.0603091	−	0.0938428i
$926$	0.240472	+	0.694797i	0.00790239	+	0.0228325i
$927$	3.78724	−	1.51618i	0.124389	−	0.0497980i
$928$	0.605166	+	0.577025i	0.0198655	+	0.0189418i
$929$	18.8639	+	36.5908i	0.618903	+	1.20050i	0.964986	+	0.262301i	$0.0844813\pi$
$929$	18.8639	+	36.5908i	0.618903	+	1.20050i	−0.346083	+	0.938204i	$0.612488\pi$
$930$	2.58052	+	17.9479i	0.0846185	+	0.588535i
$931$	9.78857	+	26.9973i	0.320807	+	0.884799i
$932$	2.87572	+	6.29695i	0.0941974	+	0.206264i
$933$	−16.8875	−	6.76073i	−0.552872	−	0.221336i
$934$	0.457670	−	9.60768i	0.0149754	−	0.314373i
$935$	58.9671	−	61.8430i	1.92843	−	2.02248i
$936$	−4.13866	+	5.26273i	−0.135276	+	0.172018i
$937$	29.6669	−	34.2374i	0.969176	−	1.11849i	−0.0237459	−	0.999718i	$-0.507559\pi$
$937$	29.6669	−	34.2374i	0.969176	−	1.11849i	0.992922	−	0.118770i	$-0.0378953\pi$
$938$	31.9185	−	0.233574i	1.04217	−	0.00762646i
$939$	11.2822	−	9.77610i	0.368181	−	0.319031i
$940$	2.16837	+	2.27412i	0.0707244	+	0.0741736i
$941$	−33.7506	+	3.22279i	−1.10024	+	0.105060i	−0.629342	−	0.777128i	$-0.716676\pi$
$941$	−33.7506	+	3.22279i	−1.10024	+	0.105060i	−0.470897	+	0.882188i	$0.656070\pi$
$942$	−1.25781	+	0.726197i	−0.0409816	+	0.0236608i
$943$	−30.9692	+	25.3092i	−1.00850	+	0.824181i
$944$			11.8097i			0.384374i
$945$	−0.371373	−	6.75557i	−0.0120808	−	0.219759i
$946$	−25.3872	−	7.45434i	−0.825408	−	0.242362i
$947$	−7.96354	+	1.53485i	−0.258780	+	0.0498758i	−0.316991	−	0.948429i	$-0.602673\pi$
$947$	−7.96354	+	1.53485i	−0.258780	+	0.0498758i	0.0582109	+	0.998304i	$0.481460\pi$
$948$	−12.6177	−	6.50486i	−0.409803	−	0.211268i
$949$	−13.6978	−	2.64004i	−0.444651	−	0.0856994i
$950$	−4.96405	−	3.90377i	−0.161055	−	0.126655i
$951$	−0.576088	−	1.96197i	−0.0186809	−	0.0636214i
$952$	13.5874	+	9.52644i	0.440369	+	0.308754i
$953$	24.2564	−	3.48754i	0.785742	−	0.112973i	0.262246	−	0.965001i	$-0.415537\pi$
$953$	24.2564	−	3.48754i	0.785742	−	0.112973i	0.523496	+	0.852028i	$0.324628\pi$
$954$	−1.11694	+	11.6971i	−0.0361622	+	0.378707i
$955$	9.73827	+	6.93459i	0.315123	+	0.224398i
$956$	−22.0916	+	17.3731i	−0.714495	+	0.561885i
$957$	3.95960	−	2.04132i	0.127996	−	0.0659864i
$958$	28.3883	−	8.33556i	0.917185	−	0.269310i
$959$	−12.6473	−	2.34172i	−0.408404	−	0.0756181i
$960$	−1.93262	−	1.67462i	−0.0623749	−	0.0540482i
$961$	−0.917283	−	19.2561i	−0.0295898	−	0.621166i
$962$	−4.82614	+	13.9442i	−0.155601	+	0.449580i
$963$	9.85446	−	2.39067i	0.317556	−	0.0770381i
$964$	−7.67326	−	10.7756i	−0.247139	−	0.347058i
$965$	24.2596			0.780945
$966$	−12.2487	+	3.31202i	−0.394095	+	0.106562i
$967$	52.8302			1.69890			0.849452	−	0.527666i	$-0.176933\pi$
$967$	52.8302			1.69890			0.849452	+	0.527666i	$0.176933\pi$
$968$	−10.0836	−	14.1604i	−0.324098	−	0.455131i
$969$	25.0053	−	6.06622i	0.803286	−	0.194875i
$970$	3.08696	−	8.91918i	0.0991163	−	0.286378i
$971$	1.82257	+	38.2604i	0.0584890	+	1.22784i	0.817179	+	0.576384i	$0.195537\pi$
$971$	1.82257	+	38.2604i	0.0584890	+	1.22784i	−0.758690	+	0.651452i	$0.774160\pi$
$972$	−0.755750	−	0.654861i	−0.0242407	−	0.0210047i
$973$	19.6323	−	22.9947i	0.629383	−	0.737178i
$974$	17.9898	−	5.28228i	0.576430	−	0.169255i
$975$	9.16059	−	4.72261i	0.293374	−	0.151245i
$976$	−2.72692	+	2.14447i	−0.0872866	+	0.0686429i
$977$	−25.3056	−	18.0201i	−0.809599	−	0.576513i	0.0985637	−	0.995131i	$-0.468575\pi$
$977$	−25.3056	−	18.0201i	−0.809599	−	0.576513i	−0.908162	+	0.418618i	$0.862515\pi$
$978$	−1.98777	+	20.8169i	−0.0635620	+	0.665651i
$979$	−25.0335	+	3.59927i	−0.800073	+	0.115033i
$980$	2.28793	−	17.7537i	0.0730853	−	0.567122i
$981$	1.70603	+	5.81020i	0.0544693	+	0.185505i
$982$	2.20701	+	1.73561i	0.0704285	+	0.0553855i
$983$	0.460237	+	0.0887034i	0.0146793	+	0.00282920i	0.196586	−	0.980487i	$-0.437015\pi$
$983$	0.460237	+	0.0887034i	0.0146793	+	0.00282920i	−0.181906	+	0.983316i	$0.558227\pi$
$984$	−7.41259	−	3.82145i	−0.236305	−	0.121823i
$985$	−9.82853	+	1.89429i	−0.313163	+	0.0603572i
$986$	5.03206	+	1.47755i	0.160253	+	0.0470547i
$987$	1.77758	+	2.72197i	0.0565811	+	0.0866413i
$988$			27.4663i			0.873821i
$989$	23.4678	+	4.06791i	0.746234	+	0.129352i
$990$	−11.7987	+	6.81197i	−0.374987	+	0.216499i
$991$	15.5526	−	1.48509i	0.494043	−	0.0471754i	0.154939	−	0.987924i	$-0.450482\pi$
$991$	15.5526	−	1.48509i	0.494043	−	0.0471754i	0.339105	+	0.940749i	$0.389876\pi$
$992$	4.89314	+	5.13178i	0.155357	+	0.162934i
$993$	18.3951	−	15.9394i	0.583750	−	0.505822i
$994$	25.7665	+	14.6259i	0.817263	+	0.463906i
$995$	−5.10146	+	5.88740i	−0.161727	+	0.186643i
$996$	−3.24904	+	4.13149i	−0.102950	+	0.130911i
$997$	−24.1411	+	25.3185i	−0.764556	+	0.801844i	−0.984817	−	0.173597i	$-0.944461\pi$
$997$	−24.1411	+	25.3185i	−0.764556	+	0.801844i	0.220260	+	0.975441i	$0.429309\pi$
$998$	−0.382561	+	8.03093i	−0.0121097	+	0.254215i
$999$	−2.04608	−	0.819127i	−0.0647351	−	0.0259160i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.523.7	yes	320
7.3	odd	6	inner	966.2.be.b.661.7	yes	320
23.19	odd	22	inner	966.2.be.b.19.7	✓	320
161.157	even	66	inner	966.2.be.b.157.7	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.19.7	✓	320	23.19	odd	22	inner
966.2.be.b.157.7	yes	320	161.157	even	66	inner
966.2.be.b.523.7	yes	320	1.1	even	1	trivial
966.2.be.b.661.7	yes	320	7.3	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.580057 + 0.814576i) q^{2} +(-0.971812 + 0.235759i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.121677 + 2.55432i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(2.01215 + 1.71792i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.888835 - 0.458227i) q^{9} +O(q^{10})\)	\(q+(0.580057 + 0.814576i) q^{2} +(-0.971812 + 0.235759i) q^{3} +(-0.327068 + 0.945001i) q^{4} +(0.121677 + 2.55432i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(2.01215 + 1.71792i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.888835 - 0.458227i) q^{9} +(-2.01011 + 1.58077i) q^{10} +(4.33977 + 3.09033i) q^{11} +(0.0950560 - 0.995472i) q^{12} +(6.62699 - 0.952817i) q^{13} +(-0.232215 + 2.63554i) q^{14} +(-0.720452 - 2.45363i) q^{15} +(-0.786053 - 0.618159i) q^{16} +(-6.15869 - 1.18699i) q^{17} +(0.888835 + 0.458227i) q^{18} +(4.02830 - 0.776391i) q^{19} +(-2.45363 - 0.720452i) q^{20} +(-2.36045 - 1.19511i) q^{21} +5.32764i q^{22} +(-0.545375 - 4.76472i) q^{23} +(0.866025 - 0.500000i) q^{24} +(-1.53240 + 0.146326i) q^{25} +(4.62017 + 4.84550i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(-2.28155 + 1.33961i) q^{28} +(-0.547576 + 0.631936i) q^{29} +(1.58077 - 2.01011i) q^{30} +(-4.89314 + 5.13178i) q^{31} +(0.0475819 - 0.998867i) q^{32} +(-4.94601 - 1.98008i) q^{33} +(-2.60550 - 5.70525i) q^{34} +(-4.14329 + 5.34871i) q^{35} +(0.142315 + 0.989821i) q^{36} +(1.00991 + 1.95895i) q^{37} +(2.96907 + 2.83100i) q^{38} +(-6.21555 + 2.48833i) q^{39} +(-0.836384 - 2.41657i) q^{40} +(-4.50876 - 7.01577i) q^{41} +(-0.395683 - 2.61600i) q^{42} +(-1.39918 + 4.76518i) q^{43} +(-4.33977 + 3.09033i) q^{44} +(1.27861 + 2.21462i) q^{45} +(3.56488 - 3.20806i) q^{46} +(-1.06414 - 0.614379i) q^{47} +(0.909632 + 0.415415i) q^{48} +(1.09750 + 6.91343i) q^{49} +(-1.00807 - 1.16338i) q^{50} +(6.26493 - 0.298436i) q^{51} +(-1.26706 + 6.57415i) q^{52} +(4.36715 + 10.9086i) q^{53} +(-0.971812 - 0.235759i) q^{54} +(-7.36566 + 11.4612i) q^{55} +(-2.41464 - 1.08144i) q^{56} +(-3.73170 + 1.70421i) q^{57} +(-0.832386 - 0.0794832i) q^{58} +(-7.30028 - 9.28307i) q^{59} +(2.55432 + 0.121677i) q^{60} +(0.817878 - 3.37134i) q^{61} +(-7.01852 - 1.00911i) q^{62} +(2.57567 + 0.604928i) q^{63} +(0.841254 - 0.540641i) q^{64} +(3.24016 + 16.8115i) q^{65} +(-1.25604 - 5.17746i) q^{66} +(-1.14679 - 12.0097i) q^{67} +(3.13602 - 5.43174i) q^{68} +(1.65333 + 4.50183i) q^{69} +(-6.76028 - 0.272466i) q^{70} +(4.65198 - 10.1864i) q^{71} +(-0.723734 + 0.690079i) q^{72} +(-1.96900 - 0.681477i) q^{73} +(-1.00991 + 1.95895i) q^{74} +(1.45470 - 0.503478i) q^{75} +(-0.583837 + 4.06068i) q^{76} +(3.42332 + 13.6736i) q^{77} +(-5.63231 - 3.61966i) q^{78} +(5.27602 - 13.1789i) q^{79} +(1.48333 - 2.08305i) q^{80} +(0.580057 - 0.814576i) q^{81} +(3.09954 - 7.74227i) q^{82} +(-4.42162 - 2.84160i) q^{83} +(1.90141 - 1.83974i) q^{84} +(2.28258 - 15.8757i) q^{85} +(-4.69321 + 1.62433i) q^{86} +(0.383156 - 0.743219i) q^{87} +(-5.03462 - 1.74250i) q^{88} +(-3.43565 + 3.27588i) q^{89} +(-1.06231 + 2.32613i) q^{90} +(14.9714 + 9.46743i) q^{91} +(4.68104 + 1.04301i) q^{92} +(3.54535 - 6.14072i) q^{93} +(-0.116801 - 1.22319i) q^{94} +(2.47330 + 10.1951i) q^{95} +(0.189251 + 0.981929i) q^{96} +(-3.10493 + 1.99542i) q^{97} +(-4.99490 + 4.90418i) q^{98} +(5.27341 + 0.758202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Introduction

L-functions

Modular forms

Varieties

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