LMFDB - Embedded newform 966.2.bf.a.11.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(11,966)]

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([33, 44, 27]))

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

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

chi := DirichletCharacter("966.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bf (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:	$1280$
Relative dimension:	$64$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.15
Character	$\chi$	$=$	966.11
Dual form			966.2.bf.a.527.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.458227 + 0.888835i) q^{2} +(-0.119815 - 1.72790i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.424017 + 0.404299i) q^{5} +(1.59072 + 0.685274i) q^{6} +(-2.01888 + 1.71001i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.97129 + 0.414058i) q^{9} +O(q^{10})$	\(q+(-0.458227 + 0.888835i) q^{2} +(-0.119815 - 1.72790i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.424017 + 0.404299i) q^{5} +(1.59072 + 0.685274i) q^{6} +(-2.01888 + 1.71001i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.97129 + 0.414058i) q^{9} +(-0.553651 + 0.191621i) q^{10} +(4.04498 - 2.08533i) q^{11} +(-1.33801 + 1.09988i) q^{12} +(0.643506 - 0.742646i) q^{13} +(-0.594808 - 2.57802i) q^{14} +(0.647785 - 0.781101i) q^{15} +(-0.327068 + 0.945001i) q^{16} +(-7.64652 - 0.730154i) q^{17} +(0.993494 - 2.83072i) q^{18} +(-0.223439 - 2.33996i) q^{19} +(0.0833785 - 0.579910i) q^{20} +(3.19661 + 3.28354i) q^{21} +4.55088i q^{22} +(-4.78466 + 0.327133i) q^{23} +(-0.364502 - 1.69326i) q^{24} +(-0.221577 - 4.65148i) q^{25} +(0.365218 + 0.912271i) q^{26} +(1.07146 + 5.08448i) q^{27} +(2.56400 + 0.652632i) q^{28} +(0.418671 - 0.191201i) q^{29} +(0.397437 + 0.933696i) q^{30} +(3.31224 + 1.32602i) q^{31} +(-0.690079 - 0.723734i) q^{32} +(-4.08790 - 6.73948i) q^{33} +(4.15283 - 6.46193i) q^{34} +(-1.54739 - 0.0911611i) q^{35} +(2.06080 + 2.18016i) q^{36} +(5.43864 - 1.31940i) q^{37} +(2.18223 + 0.873632i) q^{38} +(-1.36032 - 1.02294i) q^{39} +(0.477239 + 0.339840i) q^{40} +(-1.96819 - 6.70306i) q^{41} +(-4.38330 + 1.33666i) q^{42} +(-10.0605 - 1.44649i) q^{43} +(-4.04498 - 2.08533i) q^{44} +(-1.42728 - 1.02572i) q^{45} +(1.90169 - 4.40268i) q^{46} +(-8.76087 + 5.05809i) q^{47} +(1.67206 + 0.451916i) q^{48} +(1.15176 - 6.90460i) q^{49} +(4.23593 + 1.93448i) q^{50} +(-0.345464 + 13.2999i) q^{51} +(-0.978212 - 0.0934079i) q^{52} +(-5.65721 + 1.09034i) q^{53} +(-5.01024 - 1.37750i) q^{54} +(2.55824 + 0.751167i) q^{55} +(-1.75497 + 1.97992i) q^{56} +(-4.01645 + 0.666444i) q^{57} +(-0.0219003 + 0.459743i) q^{58} +(-8.78250 + 3.03965i) q^{59} +(-1.01202 - 0.0745877i) q^{60} +(2.38955 + 3.03856i) q^{61} +(-2.69637 + 2.33642i) q^{62} +(5.29064 - 5.91685i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.573109 - 0.0547252i) q^{65} +(7.86347 - 0.545265i) q^{66} +(-6.11891 + 0.291480i) q^{67} +(3.84065 + 6.65221i) q^{68} +(1.13853 + 8.22823i) q^{69} +(0.790084 - 1.33361i) q^{70} +(-5.05135 - 7.86006i) q^{71} +(-2.88212 + 0.832702i) q^{72} +(-0.790177 - 1.10965i) q^{73} +(-1.31940 + 5.43864i) q^{74} +(-8.01075 + 0.940182i) q^{75} +(-1.77647 + 1.53932i) q^{76} +(-4.60041 + 11.1270i) q^{77} +(1.53256 - 0.740366i) q^{78} +(2.77358 - 14.3907i) q^{79} +(-0.520745 + 0.268463i) q^{80} +(8.65711 - 2.46057i) q^{81} +(6.85979 + 1.32212i) q^{82} +(-7.89200 - 2.31730i) q^{83} +(0.820478 - 4.50853i) q^{84} +(-2.94705 - 3.40108i) q^{85} +(5.89570 - 8.27935i) q^{86} +(-0.380539 - 0.700514i) q^{87} +(3.70704 - 2.63977i) q^{88} +(-12.5258 + 5.01456i) q^{89} +(1.56572 - 0.798604i) q^{90} +(-0.0292345 + 2.59971i) q^{91} +(3.04185 + 3.70771i) q^{92} +(1.89438 - 5.88210i) q^{93} +(-0.481347 - 10.1047i) q^{94} +(0.851302 - 1.08252i) q^{95} +(-1.16786 + 1.27910i) q^{96} +(1.62401 + 5.53088i) q^{97} +(5.60928 + 4.18760i) q^{98} +(-11.1554 + 7.87099i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9	$ 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9} + 64 q^{16} + 44 q^{18} - 132 q^{21} - 4 q^{24} + 72 q^{25} + 108 q^{27} + 44 q^{30} + 8 q^{36} + 44 q^{37} - 4 q^{39} - 88 q^{43} - 12 q^{46} + 60 q^{49} - 48 q^{54} + 96 q^{55} + 44 q^{58} - 176 q^{61} - 110 q^{63} + 128 q^{64} + 56 q^{69} - 120 q^{70} + 44 q^{72} + 40 q^{73} - 268 q^{75} + 16 q^{78} + 88 q^{79} + 8 q^{81} - 56 q^{82} - 22 q^{84} + 64 q^{85} - 42 q^{87} - 32 q^{93} + 8 q^{94} + 4 q^{96} + 132 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9 + 64 * q^16 + 44 * q^18 - 132 * q^21 - 4 * q^24 + 72 * q^25 + 108 * q^27 + 44 * q^30 + 8 * q^36 + 44 * q^37 - 4 * q^39 - 88 * q^43 - 12 * q^46 + 60 * q^49 - 48 * q^54 + 96 * q^55 + 44 * q^58 - 176 * q^61 - 110 * q^63 + 128 * q^64 + 56 * q^69 - 120 * q^70 + 44 * q^72 + 40 * q^73 - 268 * q^75 + 16 * q^78 + 88 * q^79 + 8 * q^81 - 56 * q^82 - 22 * q^84 + 64 * q^85 - 42 * q^87 - 32 * q^93 + 8 * q^94 + 4 * q^96 + 132 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.458227	+	0.888835i	−0.324015	+	0.628502i
$2$	−0.458227	+	0.888835i	−0.324015	+	0.628502i
$3$	−0.119815	−	1.72790i	−0.0691754	−	0.997605i
$3$	−0.119815	−	1.72790i	−0.0691754	−	0.997605i
$4$	−0.580057	−	0.814576i	−0.290028	−	0.407288i
$5$	0.424017	+	0.404299i	0.189626	+	0.180808i	0.778945	−	0.627093i	$-0.215755\pi$
$5$	0.424017	+	0.404299i	0.189626	+	0.180808i	−0.589319	+	0.807901i	$0.700604\pi$
$6$	1.59072	+	0.685274i	0.649410	+	0.279762i
$7$	−2.01888	+	1.71001i	−0.763065	+	0.646321i
$7$	−2.01888	+	1.71001i	−0.763065	+	0.646321i
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	−2.97129	+	0.414058i	−0.990430	+	0.138019i
$10$	−0.553651	+	0.191621i	−0.175080	+	0.0605957i
$11$	4.04498	−	2.08533i	1.21961	−	0.628752i	0.276429	−	0.961034i	$-0.410849\pi$
$11$	4.04498	−	2.08533i	1.21961	−	0.628752i	0.943180	+	0.332282i	$0.107819\pi$
$12$	−1.33801	+	1.09988i	−0.386249	+	0.317508i
$13$	0.643506	−	0.742646i	0.178477	−	0.205973i	−0.659461	−	0.751738i	$-0.729216\pi$
$13$	0.643506	−	0.742646i	0.178477	−	0.205973i	0.837938	+	0.545766i	$0.183761\pi$
$14$	−0.594808	−	2.57802i	−0.158969	−	0.689006i
$15$	0.647785	−	0.781101i	0.167257	−	0.201679i
$16$	−0.327068	+	0.945001i	−0.0817670	+	0.236250i
$17$	−7.64652	−	0.730154i	−1.85455	−	0.177088i	−0.892700	−	0.450651i	$-0.851192\pi$
$17$	−7.64652	−	0.730154i	−1.85455	−	0.177088i	−0.961854	+	0.273563i	$0.911798\pi$
$18$	0.993494	−	2.83072i	0.234169	−	0.667207i
$19$	−0.223439	−	2.33996i	−0.0512605	−	0.536824i	−0.984233	−	0.176876i	$-0.943401\pi$
$19$	−0.223439	−	2.33996i	−0.0512605	−	0.536824i	0.932973	−	0.359947i	$-0.117205\pi$
$20$	0.0833785	−	0.579910i	0.0186440	−	0.129672i
$21$	3.19661	+	3.28354i	0.697558	+	0.716528i
$22$			4.55088i			0.970251i
$23$	−4.78466	+	0.327133i	−0.997671	+	0.0682119i
$23$	−4.78466	+	0.327133i	−0.997671	+	0.0682119i
$24$	−0.364502	−	1.69326i	−0.0744036	−	0.345636i
$25$	−0.221577	−	4.65148i	−0.0443154	−	0.930295i
$26$	0.365218	+	0.912271i	0.0716252	+	0.178911i
$27$	1.07146	+	5.08448i	0.206202	+	0.978509i
$28$	2.56400	+	0.652632i	0.484550	+	0.123336i
$29$	0.418671	−	0.191201i	0.0777453	−	0.0355051i	−0.376163	−	0.926554i	$-0.622757\pi$
$29$	0.418671	−	0.191201i	0.0777453	−	0.0355051i	0.453908	+	0.891048i	$0.350029\pi$
$30$	0.397437	+	0.933696i	0.0725618	+	0.170469i
$31$	3.31224	+	1.32602i	0.594896	+	0.238160i	0.649517	−	0.760347i	$-0.274971\pi$
$31$	3.31224	+	1.32602i	0.594896	+	0.238160i	−0.0546217	+	0.998507i	$0.517395\pi$
$32$	−0.690079	−	0.723734i	−0.121990	−	0.127939i
$33$	−4.08790	−	6.73948i	−0.711613	−	1.17319i
$34$	4.15283	−	6.46193i	0.712204	−	1.10821i
$35$	−1.54739	−	0.0911611i	−0.261557	−	0.0154090i
$36$	2.06080	+	2.18016i	0.343466	+	0.363360i
$37$	5.43864	−	1.31940i	0.894107	−	0.216908i	0.237721	−	0.971333i	$-0.423599\pi$
$37$	5.43864	−	1.31940i	0.894107	−	0.216908i	0.656386	+	0.754425i	$0.272084\pi$
$38$	2.18223	+	0.873632i	0.354004	+	0.141722i
$39$	−1.36032	−	1.02294i	−0.217826	−	0.163801i
$40$	0.477239	+	0.339840i	0.0754581	+	0.0537334i
$41$	−1.96819	−	6.70306i	−0.307380	−	1.04684i	−0.957840	−	0.287301i	$-0.907242\pi$
$41$	−1.96819	−	6.70306i	−0.307380	−	1.04684i	0.650460	−	0.759541i	$-0.274576\pi$
$42$	−4.38330	+	1.33666i	−0.676358	+	0.206251i
$43$	−10.0605	−	1.44649i	−1.53422	−	0.220587i	−0.677171	−	0.735825i	$-0.736794\pi$
$43$	−10.0605	−	1.44649i	−1.53422	−	0.220587i	−0.857047	+	0.515238i	$0.827704\pi$
$44$	−4.04498	−	2.08533i	−0.609804	−	0.314376i
$45$	−1.42728	−	1.02572i	−0.212766	−	0.152906i
$46$	1.90169	−	4.40268i	0.280389	−	0.649139i
$47$	−8.76087	+	5.05809i	−1.27790	+	0.737798i	−0.976463	−	0.215687i	$-0.930801\pi$
$47$	−8.76087	+	5.05809i	−1.27790	+	0.737798i	−0.301441	+	0.953485i	$0.597468\pi$
$48$	1.67206	+	0.451916i	0.241341	+	0.0652284i
$49$	1.15176	−	6.90460i	0.164538	−	0.986371i
$50$	4.23593	+	1.93448i	0.599051	+	0.273577i
$51$	−0.345464	+	13.2999i	−0.0483747	+	1.86236i
$52$	−0.978212	−	0.0934079i	−0.135654	−	0.0129533i
$53$	−5.65721	+	1.09034i	−0.777077	+	0.149769i	−0.562344	−	0.826903i	$-0.690100\pi$
$53$	−5.65721	+	1.09034i	−0.777077	+	0.149769i	−0.214733	+	0.976673i	$0.568888\pi$
$54$	−5.01024	−	1.37750i	−0.681807	−	0.187453i
$55$	2.55824	+	0.751167i	0.344953	+	0.101287i
$56$	−1.75497	+	1.97992i	−0.234518	+	0.264577i
$57$	−4.01645	+	0.666444i	−0.531992	+	0.0882727i
$58$	−0.0219003	+	0.459743i	−0.00287565	+	0.0603672i
$59$	−8.78250	+	3.03965i	−1.14338	+	0.395729i	−0.832121	−	0.554595i	$-0.812873\pi$
$59$	−8.78250	+	3.03965i	−1.14338	+	0.395729i	−0.311263	+	0.950324i	$0.600752\pi$
$60$	−1.01202	−	0.0745877i	−0.130651	−	0.00962923i
$61$	2.38955	+	3.03856i	0.305951	+	0.389048i	0.914579	−	0.404407i	$-0.132522\pi$
$61$	2.38955	+	3.03856i	0.305951	+	0.389048i	−0.608628	+	0.793456i	$0.708280\pi$
$62$	−2.69637	+	2.33642i	−0.342439	+	0.296725i
$63$	5.29064	−	5.91685i	0.666558	−	0.745454i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	0.573109	−	0.0547252i	0.0710854	−	0.00678783i
$66$	7.86347	−	0.545265i	0.967927	−	0.0671175i
$67$	−6.11891	+	0.291480i	−0.747544	+	0.0356099i	−0.417897	−	0.908494i	$-0.637233\pi$
$67$	−6.11891	+	0.291480i	−0.747544	+	0.0356099i	−0.329647	+	0.944104i	$0.606930\pi$
$68$	3.84065	+	6.65221i	0.465748	+	0.806698i
$69$	1.13853	+	8.22823i	0.137063	+	0.990562i
$70$	0.790084	−	1.33361i	0.0944331	−	0.159396i
$71$	−5.05135	−	7.86006i	−0.599485	−	0.932817i	−0.999864	−	0.0164676i	$-0.994758\pi$
$71$	−5.05135	−	7.86006i	−0.599485	−	0.932817i	0.400379	−	0.916350i	$-0.368878\pi$
$72$	−2.88212	+	0.832702i	−0.339661	+	0.0981349i
$73$	−0.790177	−	1.10965i	−0.0924832	−	0.129875i	0.765742	−	0.643148i	$-0.222372\pi$
$73$	−0.790177	−	1.10965i	−0.0924832	−	0.129875i	−0.858225	+	0.513274i	$0.828433\pi$
$74$	−1.31940	+	5.43864i	−0.153377	+	0.632229i
$75$	−8.01075	+	0.940182i	−0.925001	+	0.108563i
$76$	−1.77647	+	1.53932i	−0.203775	+	0.176572i
$77$	−4.60041	+	11.1270i	−0.524265	+	1.26804i
$78$	1.53256	−	0.740366i	0.173528	−	0.0838299i
$79$	2.77358	−	14.3907i	0.312052	−	1.61908i	−0.399698	−	0.916647i	$-0.630885\pi$
$79$	2.77358	−	14.3907i	0.312052	−	1.61908i	0.711750	−	0.702433i	$-0.247903\pi$
$80$	−0.520745	+	0.268463i	−0.0582211	+	0.0300151i
$81$	8.65711	−	2.46057i	0.961901	−	0.273397i
$82$	6.85979	+	1.32212i	0.757537	+	0.146003i
$83$	−7.89200	−	2.31730i	−0.866259	−	0.254357i	−0.181736	−	0.983347i	$-0.558172\pi$
$83$	−7.89200	−	2.31730i	−0.866259	−	0.254357i	−0.684523	+	0.728991i	$0.739990\pi$
$84$	0.820478	−	4.50853i	0.0895214	−	0.491921i
$85$	−2.94705	−	3.40108i	−0.319653	−	0.368899i
$86$	5.89570	−	8.27935i	0.635749	−	0.892785i
$87$	−0.380539	−	0.700514i	−0.0407981	−	0.0751030i
$88$	3.70704	−	2.63977i	0.395172	−	0.281400i
$89$	−12.5258	+	5.01456i	−1.32773	+	0.531542i	−0.923669	−	0.383191i	$-0.874825\pi$
$89$	−12.5258	+	5.01456i	−1.32773	+	0.531542i	−0.404059	+	0.914733i	$0.632401\pi$
$90$	1.56572	−	0.798604i	0.165041	−	0.0841802i
$91$	−0.0292345	+	2.59971i	−0.00306461	+	0.272524i
$92$	3.04185	+	3.70771i	0.317135	+	0.386556i
$93$	1.89438	−	5.88210i	0.196438	−	0.609945i
$94$	−0.481347	−	10.1047i	−0.0496472	−	1.04222i
$95$	0.851302	−	1.08252i	0.0873418	−	0.111064i
$96$	−1.16786	+	1.27910i	−0.119194	+	0.130548i
$97$	1.62401	+	5.53088i	0.164894	+	0.561576i	0.999935	+	0.0113890i	$0.00362530\pi$
$97$	1.62401	+	5.53088i	0.164894	+	0.561576i	−0.835042	+	0.550187i	$0.814557\pi$
$98$	5.60928	+	4.18760i	0.566623	+	0.423011i
$99$	−11.1554	+	7.87099i	−1.12116	+	0.791064i
$100$	−3.66045	+	2.87861i	−0.366045	+	0.287861i
$101$	5.47671	+	5.74381i	0.544953	+	0.571530i	0.937404	−	0.348242i	$-0.113221\pi$
$101$	5.47671	+	5.74381i	0.544953	+	0.571530i	−0.392452	+	0.919773i	$0.628373\pi$
$102$	−11.6631	−	6.40144i	−1.15482	−	0.633837i
$103$	4.23431	+	0.201705i	0.417219	+	0.0198746i	0.255142	−	0.966904i	$-0.417878\pi$
$103$	4.23431	+	0.201705i	0.417219	+	0.0198746i	0.162077	+	0.986778i	$0.448181\pi$
$104$	0.531267	−	0.826667i	0.0520950	−	0.0810614i
$105$	0.0278840	+	2.68467i	0.00272120	+	0.261997i
$106$	1.62315	−	5.52795i	0.157655	−	0.536922i
$107$	2.95610	−	2.32471i	0.285777	−	0.224738i	−0.464971	−	0.885326i	$-0.653935\pi$
$107$	2.95610	−	2.32471i	0.285777	−	0.224738i	0.750749	+	0.660588i	$0.229693\pi$
$108$	3.52019	−	3.82207i	0.338731	−	0.367779i
$109$	−0.976447	+	10.2258i	−0.0935266	+	0.979455i	0.819915	+	0.572485i	$0.194021\pi$
$109$	−0.976447	+	10.2258i	−0.0935266	+	0.979455i	−0.913442	+	0.406970i	$0.866585\pi$
$110$	−1.83992	+	1.92965i	−0.175429	+	0.183985i
$111$	−2.93143	−	9.23935i	−0.278239	−	0.876961i
$112$	−0.955645	−	2.46713i	−0.0903000	−	0.233122i
$113$	13.6947	−	8.80105i	1.28829	−	0.827933i	0.296403	−	0.955063i	$-0.404213\pi$
$113$	13.6947	−	8.80105i	1.28829	−	0.827933i	0.991886	+	0.127129i	$0.0405764\pi$
$114$	1.24809	−	3.87535i	0.116894	−	0.362959i
$115$	−2.16104	−	1.79572i	−0.201518	−	0.167452i
$116$	−0.398601	−	0.230132i	−0.0370091	−	0.0213672i
$117$	−1.60454	+	2.47306i	−0.148340	+	0.228635i
$118$	1.32262	−	9.19904i	0.121757	−	0.846841i
$119$	16.6860	−	11.6015i	1.52960	−	1.06351i
$120$	0.530030	−	0.865340i	0.0483849	−	0.0789943i
$121$	5.63265	−	7.90995i	0.512059	−	0.719087i
$122$	−3.79574	+	0.731569i	−0.343650	+	0.0662332i
$123$	−11.3464	+	4.20398i	−1.02307	+	0.379060i
$124$	−0.841143	−	3.46724i	−0.0755368	−	0.311367i
$125$	3.70496	−	4.27576i	0.331382	−	0.382435i
$126$	2.83480	+	7.41377i	0.252544	+	0.660471i
$127$	−7.30055	−	4.69178i	−0.647819	−	0.416328i	0.175050	−	0.984560i	$-0.443991\pi$
$127$	−7.30055	−	4.69178i	−0.647819	−	0.416328i	−0.822869	+	0.568232i	$0.807628\pi$
$128$	−0.189251	+	0.981929i	−0.0167276	+	0.0867911i
$129$	−1.29398	+	17.5569i	−0.113929	+	1.54580i
$130$	−0.213972	+	0.534476i	−0.0187666	+	0.0468766i
$131$	−5.50191	−	1.90423i	−0.480704	−	0.166373i	0.0759602	−	0.997111i	$-0.475798\pi$
$131$	−5.50191	−	1.90423i	−0.480704	−	0.166373i	−0.556664	+	0.830738i	$0.687919\pi$
$132$	−3.11860	+	7.23919i	−0.271439	+	0.630091i
$133$	4.45244	+	4.34202i	0.386076	+	0.376501i
$134$	2.54477	−	5.57227i	0.219835	−	0.481371i
$135$	−1.60134	+	2.58910i	−0.137821	+	0.222834i
$136$	−7.67260	+	0.365491i	−0.657920	+	0.0313406i
$137$	5.93884	−	10.2864i	0.507390	−	0.878825i	−0.492574	−	0.870271i	$-0.663944\pi$
$137$	5.93884	−	10.2864i	0.507390	−	0.878825i	0.999963	−	0.00855401i	$-0.00272286\pi$
$138$	−7.83525	−	2.75843i	−0.666980	−	0.234813i
$139$	21.0942			1.78919			0.894593	−	0.446882i	$-0.147466\pi$
$139$	21.0942			1.78919			0.894593	+	0.446882i	$0.147466\pi$
$140$	0.823318	+	1.31335i	0.0695831	+	0.110998i
$141$	9.78956	+	14.5319i	0.824430	+	1.22380i
$142$	9.30096	−	0.888134i	0.780519	−	0.0745306i
$143$	1.05431	−	4.34592i	0.0881657	−	0.363424i
$144$	0.580528	−	2.94330i	0.0483773	−	0.245275i
$145$	0.254826	+	0.0881961i	0.0211621	+	0.00732429i
$146$	1.34837	−	0.193867i	0.111592	−	0.0160445i
$147$	−12.0685	−	1.16286i	−0.995390	−	0.0959109i
$148$	−4.22947	−	3.66486i	−0.347661	−	0.301250i
$149$	0.789757	−	16.5790i	0.0646994	−	1.35821i	−0.700148	−	0.713997i	$-0.746883\pi$
$149$	0.789757	−	16.5790i	0.0646994	−	1.35821i	0.764848	−	0.644211i	$-0.222814\pi$
$150$	2.83507	−	7.55105i	0.231482	−	0.616541i
$151$	0.0474966	+	0.137232i	0.00386522	+	0.0111678i	0.946917	−	0.321478i	$-0.104180\pi$
$151$	0.0474966	+	0.137232i	0.00386522	+	0.0111678i	−0.943052	+	0.332646i	$0.892059\pi$
$152$	−0.554176	−	2.28434i	−0.0449496	−	0.185285i
$153$	23.0224	−	0.996607i	1.86125	−	0.0805709i
$154$	−7.78203	−	9.18769i	−0.627094	−	0.740365i
$155$	0.868336	+	1.90139i	0.0697464	+	0.152723i
$156$	−0.0441949	+	1.70145i	−0.00353842	+	0.136225i
$157$	−2.22096	+	1.58154i	−0.177252	+	0.126220i	−0.665239	−	0.746630i	$-0.731671\pi$
$157$	−2.22096	+	1.58154i	−0.177252	+	0.126220i	0.487988	+	0.872851i	$0.337731\pi$
$158$	11.5200	+	9.05946i	0.916485	+	0.720732i
$159$	2.56182	+	9.64446i	0.203165	+	0.764856i
$160$		−	0.585874i		−	0.0463174i
$161$	9.10026	−	8.84224i	0.717201	−	0.696866i
$162$	−1.77987	+	8.82225i	−0.139840	+	0.693141i
$163$	15.1402	+	7.80533i	1.18587	+	0.611361i	0.934304	−	0.356478i	$-0.116023\pi$
$163$	15.1402	+	7.80533i	1.18587	+	0.611361i	0.251571	+	0.967839i	$0.419053\pi$
$164$	−4.31848	+	5.49140i	−0.337217	+	0.428806i
$165$	0.991426	−	4.51039i	0.0771824	−	0.351133i
$166$	5.67602	−	5.95284i	0.440545	−	0.462030i
$167$	−6.53639	+	2.98507i	−0.505801	+	0.230991i	−0.651937	−	0.758273i	$-0.726043\pi$
$167$	−6.53639	+	2.98507i	−0.505801	+	0.230991i	0.146136	+	0.989264i	$0.453316\pi$
$168$	3.63137	+	2.79520i	0.280167	+	0.215654i
$169$	1.71267	+	11.9119i	0.131744	+	0.916299i
$170$	4.37342	−	1.06098i	0.335426	−	0.0813735i
$171$	1.63278	+	6.86018i	0.124862	+	0.524611i
$172$	4.65741	+	9.03412i	0.355124	+	0.688845i
$173$	17.3216	+	0.825128i	1.31693	+	0.0627333i	0.694247	−	0.719737i	$-0.255738\pi$
$173$	17.3216	+	0.825128i	1.31693	+	0.0627333i	0.622688	+	0.782471i	$0.286041\pi$
$174$	0.797015	−	0.0172428i	0.0604215	−	0.00130717i
$175$	8.40139	+	9.01188i	0.635085	+	0.681234i
$176$	0.647658	+	4.50456i	0.0488190	+	0.339544i
$177$	6.30450	+	14.8111i	0.473875	+	1.11327i
$178$	1.28252	−	13.4311i	0.0961289	−	1.00671i
$179$	4.96830	+	1.20530i	0.371348	+	0.0900881i	0.417090	−	0.908865i	$-0.363050\pi$
$179$	4.96830	+	1.20530i	0.371348	+	0.0900881i	−0.0457417	+	0.998953i	$0.514565\pi$
$180$	−0.00762495	+	1.75760i	−0.000568330	+	0.131004i
$181$	6.31641	+	0.908163i	0.469495	+	0.0675032i	0.373002	−	0.927830i	$-0.378328\pi$
$181$	6.31641	+	0.908163i	0.469495	+	0.0675032i	0.0964930	+	0.995334i	$0.469237\pi$
$182$	−2.29732	−	1.21724i	−0.170289	−	0.0902280i
$183$	4.96404	−	4.49298i	0.366952	−	0.332131i
$184$	−4.68940	+	1.00473i	−0.345707	+	0.0740698i
$185$	2.83951	+	1.63939i	0.208765	+	0.120530i
$186$	4.36017	+	4.37912i	0.319703	+	0.321093i
$187$	−32.4527	+	12.9921i	−2.37318	+	0.950076i
$188$	9.20200	+	4.20241i	0.671125	+	0.306492i
$189$	−10.8576	−	8.43277i	−0.789777	−	0.613394i
$190$	0.572092	+	1.25271i	0.0415039	+	0.0908809i
$191$	0.316093	−	0.913292i	0.0228717	−	0.0660835i	−0.932987	−	0.359910i	$-0.882807\pi$
$191$	0.316093	−	0.913292i	0.0228717	−	0.0660835i	0.955859	+	0.293826i	$0.0949287\pi$
$192$	−0.601768	−	1.62415i	−0.0434289	−	0.117213i
$193$	9.18811	−	8.76085i	0.661375	−	0.630620i	−0.283144	−	0.959077i	$-0.591377\pi$
$193$	9.18811	−	8.76085i	0.661375	−	0.630620i	0.944519	+	0.328458i	$0.106529\pi$
$194$	−5.66021	−	1.09092i	−0.406379	−	0.0783232i
$195$	−0.163227	−	0.983718i	−0.0116889	−	0.0704455i
$196$	−6.29241	+	3.06686i	−0.449458	+	0.219061i
$197$	12.2451	+	10.6104i	0.872427	+	0.755962i	0.970978	−	0.239170i	$-0.0768753\pi$
$197$	12.2451	+	10.6104i	0.872427	+	0.755962i	−0.0985509	+	0.995132i	$0.531421\pi$
$198$	−1.88433	−	13.5220i	−0.133914	−	0.960965i
$199$	−9.98433	+	24.9396i	−0.707770	+	1.76792i	−0.0701985	+	0.997533i	$0.522363\pi$
$199$	−9.98433	+	24.9396i	−0.707770	+	1.76792i	−0.637572	+	0.770391i	$0.720061\pi$
$200$	−0.881296	−	4.57260i	−0.0623170	−	0.323332i
$201$	1.23679	+	10.5379i	0.0872362	+	0.743290i
$202$	−7.61487	+	2.23593i	−0.535781	+	0.157319i
$203$	−0.518293	+	1.10194i	−0.0363771	+	0.0773411i
$204$	11.0342	−	7.43331i	0.772548	−	0.520436i
$205$	1.87549	−	3.63795i	0.130990	−	0.254085i
$206$	−2.11956	+	3.67118i	−0.147676	+	0.255783i
$207$	14.0812	−	2.95313i	0.978708	−	0.205257i
$208$	0.491331	+	0.851010i	0.0340677	+	0.0590069i
$209$	−5.78341	−	8.99916i	−0.400047	−	0.622485i
$210$	−2.39900	−	1.20540i	−0.165547	−	0.0831806i
$211$	6.67931	−	14.6257i	0.459823	−	1.00687i	−0.527705	−	0.849428i	$-0.676947\pi$
$211$	6.67931	−	14.6257i	0.459823	−	1.00687i	0.987528	−	0.157444i	$-0.0503254\pi$
$212$	4.16967	+	3.97577i	0.286374	+	0.273057i
$213$	−12.9762	+	9.67000i	−0.889113	+	0.662577i
$214$	0.711716	+	3.69273i	0.0486519	+	0.252430i
$215$	−3.68103	−	4.68080i	−0.251044	−	0.319228i
$216$	1.78415	+	4.88025i	0.121396	+	0.332059i
$217$	−8.95452	+	2.98687i	−0.607872	+	0.202762i
$218$	−8.64163	−	5.55364i	−0.585285	−	0.376140i
$219$	−1.82269	+	1.49830i	−0.123166	+	0.101246i
$220$	−0.872042	−	2.51960i	−0.0587931	−	0.169871i
$221$	−5.46283	+	5.20880i	−0.367470	+	0.350382i
$222$	9.55552	+	1.62816i	0.641325	+	0.109275i
$223$	−13.4663	−	15.5410i	−0.901772	−	1.04070i	−0.998967	−	0.0454348i	$-0.985533\pi$
$223$	−13.4663	−	15.5410i	−0.901772	−	1.04070i	0.0971955	−	0.995265i	$-0.469013\pi$
$224$	2.63078	+	0.281094i	0.175776	+	0.0187814i
$225$	2.58435	+	13.7291i	0.172290	+	0.915276i
$226$	1.54741	+	16.2052i	0.102932	+	1.07795i
$227$	−4.84174	−	3.80759i	−0.321358	−	0.252718i	0.444428	−	0.895815i	$-0.353407\pi$
$227$	−4.84174	−	3.80759i	−0.321358	−	0.252718i	−0.765785	+	0.643096i	$0.777649\pi$
$228$	2.87264	+	2.88513i	0.190245	+	0.191072i
$229$	9.55725	−	5.51788i	0.631561	−	0.364632i	−0.149796	−	0.988717i	$-0.547862\pi$
$229$	9.55725	−	5.51788i	0.631561	−	0.364632i	0.781356	+	0.624085i	$0.214528\pi$
$230$	2.58635	−	1.09796i	0.170539	−	0.0723971i
$231$	19.7775	+	6.61587i	1.30127	+	0.435292i
$232$	0.387199	−	0.248838i	0.0254209	−	0.0163370i
$233$	9.72049	+	24.2806i	0.636811	+	1.59068i	0.797263	+	0.603632i	$0.206281\pi$
$233$	9.72049	+	24.2806i	0.636811	+	1.59068i	−0.160452	+	0.987044i	$0.551295\pi$
$234$	−1.46290	−	2.55940i	−0.0956329	−	0.167313i
$235$	−5.75973	−	1.39730i	−0.375724	−	0.0911496i
$236$	7.57038	+	5.39084i	0.492789	+	0.350914i
$237$	−25.1980	−	3.06825i	−1.63679	−	0.199304i
$238$	2.66586	+	20.1472i	0.172802	+	1.30595i
$239$	−4.21456	+	14.3535i	−0.272617	+	0.928449i	0.703407	+	0.710787i	$0.251661\pi$
$239$	−4.21456	+	14.3535i	−0.272617	+	0.928449i	−0.976024	+	0.217662i	$0.930157\pi$
$240$	0.526271	+	0.867631i	0.0339706	+	0.0560053i
$241$	−10.8128	−	20.9740i	−0.696517	−	1.35105i	−0.925919	−	0.377722i	$-0.876708\pi$
$241$	−10.8128	−	20.9740i	−0.696517	−	1.35105i	0.229402	−	0.973332i	$-0.426323\pi$
$242$	4.44962	+	8.63105i	0.286032	+	0.554825i
$243$	−5.28888	−	14.6638i	−0.339282	−	0.940685i
$244$	1.08906	−	3.70901i	0.0697202	−	0.237445i
$245$	3.27989	−	2.46201i	0.209544	−	0.157292i
$246$	1.46258	−	12.0115i	0.0932506	−	0.765823i
$247$	−1.88155	−	1.33984i	−0.119720	−	0.0852522i
$248$	3.46724	+	0.841143i	0.220170	+	0.0534126i
$249$	−3.05848	+	13.9142i	−0.193823	+	0.881779i
$250$	2.10273	+	5.25237i	0.132988	+	0.332189i
$251$	−13.0648	+	8.39624i	−0.824643	+	0.529966i	−0.883572	−	0.468296i	$-0.844868\pi$
$251$	−13.0648	+	8.39624i	−0.824643	+	0.529966i	0.0589283	+	0.998262i	$0.481232\pi$
$252$	−7.88860	−	0.877514i	−0.496935	−	0.0552782i
$253$	−18.6717	+	11.3009i	−1.17388	+	0.710479i
$254$	7.51553	−	4.33909i	0.471566	−	0.272259i
$255$	−5.52363	+	5.49972i	−0.345903	+	0.344406i
$256$	−0.786053	−	0.618159i	−0.0491283	−	0.0386349i
$257$	−0.608304	−	6.37044i	−0.0379449	−	0.397377i	−0.994414	−	0.105545i	$-0.966341\pi$
$257$	−0.608304	−	6.37044i	−0.0379449	−	0.397377i	0.956470	−	0.291832i	$-0.0942649\pi$
$258$	−15.0123	−	9.19519i	−0.934625	−	0.572468i
$259$	−8.72379	+	11.9638i	−0.542070	+	0.743396i
$260$	−0.377013	−	0.435097i	−0.0233814	−	0.0269836i
$261$	−1.16482	+	0.741467i	−0.0721009	+	0.0458957i
$262$	4.21367	−	4.01772i	0.260321	−	0.248216i
$263$	−3.71714	−	10.7400i	−0.229209	−	0.662256i	−0.999693	−	0.0247959i	$-0.992106\pi$
$263$	−3.71714	−	10.7400i	−0.229209	−	0.662256i	0.770484	−	0.637460i	$-0.220015\pi$
$264$	−5.00542	−	6.08911i	−0.308062	−	0.374759i
$265$	−2.83957	−	1.82488i	−0.174434	−	0.112102i
$266$	−5.89957	+	1.96786i	−0.361726	+	0.120657i
$267$	10.1654	+	21.0425i	0.622115	+	1.28778i
$268$	3.78675	+	4.81524i	0.231312	+	0.294138i
$269$	−4.76946	−	24.7463i	−0.290799	−	1.50881i	−0.773936	−	0.633264i	$-0.781715\pi$
$269$	−4.76946	−	24.7463i	−0.290799	−	1.50881i	0.483137	−	0.875545i	$-0.339497\pi$
$270$	−1.56751	−	2.60972i	−0.0953953	−	0.158822i
$271$	1.82129	+	1.73659i	0.110635	+	0.105491i	0.743378	−	0.668872i	$-0.233222\pi$
$271$	1.82129	+	1.73659i	0.110635	+	0.105491i	−0.632743	+	0.774362i	$0.718071\pi$
$272$	3.19093	−	6.98716i	0.193479	−	0.423659i
$273$	4.49555	−	0.260971i	0.272083	−	0.0157947i
$274$	6.42156	+	9.99215i	0.387941	+	0.603648i
$275$	−10.5962	−	18.3531i	−0.638973	−	1.10673i
$276$	6.04211	−	5.70026i	0.363692	−	0.343115i
$277$	13.8733	−	24.0292i	0.833564	−	1.44378i	−0.0616300	−	0.998099i	$-0.519630\pi$
$277$	13.8733	−	24.0292i	0.833564	−	1.44378i	0.895194	−	0.445676i	$-0.147037\pi$
$278$	−9.66592	+	18.7493i	−0.579723	+	1.12451i
$279$	−10.3907	−	2.56853i	−0.622073	−	0.153774i
$280$	−1.54462	+	0.129984i	−0.0923085	+	0.00776802i
$281$	−29.0697	+	8.53562i	−1.73415	+	0.509192i	−0.987715	−	0.156266i	$-0.950054\pi$
$281$	−29.0697	+	8.53562i	−1.73415	+	0.509192i	−0.746435	+	0.665458i	$0.768236\pi$
$282$	−17.4023	+	2.04242i	−1.03629	+	0.121624i
$283$	0.906958	+	4.70575i	0.0539131	+	0.279728i	0.998873	−	0.0474578i	$-0.0151120\pi$
$283$	0.906958	+	4.70575i	0.0539131	+	0.279728i	−0.944960	+	0.327185i	$0.893900\pi$
$284$	−3.47254	+	8.67399i	−0.206057	+	0.514707i
$285$	−1.97249	−	1.34126i	−0.116840	−	0.0794496i
$286$	3.37969	+	2.92852i	0.199845	+	0.173167i
$287$	15.4358	+	10.1671i	0.911147	+	0.600142i
$288$	2.35009	+	1.86469i	0.138480	+	0.109878i
$289$	41.2434	+	7.94902i	2.42608	+	0.467589i
$290$	−0.195160	+	0.186085i	−0.0114602	+	0.0109273i
$291$	9.36223	−	3.46882i	0.548824	−	0.203346i
$292$	−0.445545	+	1.28732i	−0.0260736	+	0.0753346i
$293$	11.1653	+	24.4485i	0.652281	+	1.42830i	0.889543	+	0.456851i	$0.151023\pi$
$293$	11.1653	+	24.4485i	0.652281	+	1.42830i	−0.237262	+	0.971446i	$0.576250\pi$
$294$	6.56368	−	10.1940i	0.382801	−	0.594528i
$295$	−4.95285	−	2.26189i	−0.288366	−	0.131692i
$296$	5.19551	−	2.07997i	0.301983	−	0.120896i
$297$	14.9369	+	18.3323i	0.866726	+	1.06375i
$298$	14.3742	+	8.29892i	0.832672	+	0.480744i
$299$	−2.83602	+	3.76382i	−0.164011	+	0.217667i
$300$	5.41254	+	5.98000i	0.312493	+	0.345256i
$301$	22.7845	−	14.2833i	1.31328	−	0.823275i
$302$	−0.143741	−	0.0206669i	−0.00827138	−	0.00118925i
$303$	9.26854	−	10.1514i	0.532464	−	0.583183i
$304$	2.28434	+	0.554176i	0.131016	+	0.0317842i
$305$	−0.215278	+	2.25450i	−0.0123268	+	0.129092i
$306$	−9.66363	+	20.9198i	−0.552433	+	1.19590i
$307$	1.14662	+	7.97495i	0.0654413	+	0.455154i	0.996025	+	0.0890750i	$0.0283911\pi$
$307$	1.14662	+	7.97495i	0.0654413	+	0.455154i	−0.930584	+	0.366079i	$0.880700\pi$
$308$	11.7323	−	2.70690i	0.668508	−	0.154240i
$309$	−0.158809	−	7.34064i	−0.00903432	−	0.417594i
$310$	−2.08792	−	0.0994598i	−0.118586	−	0.00564893i
$311$	−1.69023	−	3.27859i	−0.0958443	−	0.185912i	0.836039	−	0.548670i	$-0.184866\pi$
$311$	−1.69023	−	3.27859i	−0.0958443	−	0.185912i	−0.931883	+	0.362758i	$0.881835\pi$
$312$	−1.49205	−	0.818929i	−0.0844709	−	0.0463628i
$313$	−5.19632	+	1.26061i	−0.293713	+	0.0712540i	−0.379908	−	0.925024i	$-0.624044\pi$
$313$	−5.19632	+	1.26061i	−0.293713	+	0.0712540i	0.0861949	+	0.996278i	$0.472529\pi$
$314$	−0.388025	−	2.69877i	−0.0218975	−	0.152300i
$315$	4.63550	−	0.369845i	0.261181	−	0.0208384i
$316$	−13.3312	+	6.08813i	−0.749936	+	0.342484i
$317$	2.88422	−	3.02488i	0.161994	−	0.169894i	−0.637735	−	0.770256i	$-0.720128\pi$
$317$	2.88422	−	3.02488i	0.161994	−	0.169894i	0.799728	+	0.600362i	$0.204977\pi$
$318$	−9.74623	−	2.14231i	−0.546542	−	0.120135i
$319$	1.29480	−	1.64647i	0.0724949	−	0.0921848i
$320$	0.520745	+	0.268463i	0.0291105	+	0.0150075i
$321$	−4.37105	−	4.82932i	−0.243968	−	0.269547i
$322$	3.68931	+	12.1404i	0.205597	+	0.676557i
$323$			18.0557i			1.00465i
$324$	−7.02594	−	5.62460i	−0.390330	−	0.312478i
$325$	−3.59699	−	2.82870i	−0.199525	−	0.156908i
$326$	−13.8753	+	9.88056i	−0.768482	+	0.547234i
$327$	17.7862	+	0.461994i	0.983579	+	0.0255484i
$328$	−2.90211	−	6.35473i	−0.160242	−	0.350881i
$329$	9.03779	−	25.1928i	0.498269	−	1.38892i
$330$	3.55470	+	2.94799i	0.195680	+	0.162282i
$331$	2.67885	+	11.0424i	0.147243	+	0.606943i	0.996835	+	0.0795022i	$0.0253331\pi$
$331$	2.67885	+	11.0424i	0.147243	+	0.606943i	−0.849592	+	0.527440i	$0.823152\pi$
$332$	2.69019	+	7.77280i	0.147643	+	0.426588i
$333$	−15.6135	+	6.17223i	−0.855613	+	0.338236i
$334$	0.341912	−	7.17761i	0.0187086	−	0.392741i
$335$	−2.71236	−	2.35028i	−0.148192	−	0.128409i
$336$	−4.14846	+	1.94686i	−0.226317	+	0.106210i
$337$	−20.3268	+	2.92255i	−1.10727	+	0.159202i	−0.671607	−	0.740908i	$-0.734396\pi$
$337$	−20.3268	+	2.92255i	−1.10727	+	0.159202i	−0.435664	+	0.900109i	$0.643486\pi$
$338$	−11.3725	−	3.93606i	−0.618582	−	0.214093i
$339$	−16.8482	−	22.6086i	−0.915068	−	1.22793i
$340$	−1.06098	+	4.37342i	−0.0575397	+	0.237182i
$341$	16.1631	−	1.54339i	0.875284	−	0.0835794i
$342$	−6.84576	−	1.69224i	−0.370176	−	0.0915060i
$343$	9.48162	+	15.9091i	0.511959	+	0.859010i
$344$	−10.1640			−0.548006
$345$	−2.84391	+	3.94921i	−0.153111	+	0.212618i
$346$	−8.67060	+	15.0179i	−0.466134	+	0.807369i
$347$	8.35936	−	0.398206i	0.448754	−	0.0213768i	0.178011	−	0.984028i	$-0.443034\pi$
$347$	8.35936	−	0.398206i	0.448754	−	0.0213768i	0.270743	+	0.962652i	$0.412731\pi$
$348$	−0.349887	+	0.716316i	−0.0187559	+	0.0383986i
$349$	3.45778	−	7.57147i	0.185091	−	0.405292i	−0.794227	−	0.607621i	$-0.792124\pi$
$349$	3.45778	−	7.57147i	0.185091	−	0.405292i	0.979318	+	0.202329i	$0.0648512\pi$
$350$	−11.8598	+	3.33797i	−0.633934	+	0.178422i
$351$	4.46546	+	2.47618i	0.238349	+	0.132169i
$352$	−4.30059	−	1.48845i	−0.229222	−	0.0793345i
$353$	0.0730030	−	0.182353i	0.00388556	−	0.00970565i	−0.926412	−	0.376510i	$-0.877124\pi$
$353$	0.0730030	−	0.182353i	0.00388556	−	0.00970565i	0.930298	+	0.366805i	$0.119548\pi$
$354$	−16.0535	−	1.18318i	−0.853235	−	0.0628851i
$355$	1.03596	−	5.37505i	0.0549829	−	0.285278i
$356$	11.3504	+	7.29446i	0.601570	+	0.386605i
$357$	−22.0455	−	27.4417i	−1.16677	−	1.45237i
$358$	−3.34792	+	3.86370i	−0.176943	+	0.204203i
$359$	3.26587	+	13.4621i	0.172366	+	0.710502i	0.990735	+	0.135809i	$0.0433633\pi$
$359$	3.26587	+	13.4621i	0.172366	+	0.710502i	−0.818369	+	0.574693i	$0.805122\pi$
$360$	−1.55873	−	0.812158i	−0.0821521	−	0.0428045i
$361$	13.2312	−	2.55010i	0.696376	−	0.134216i
$362$	−3.70156	+	5.19811i	−0.194549	+	0.273206i
$363$	−14.3425	−	8.78494i	−0.752786	−	0.461090i
$364$	2.13462	−	1.48417i	0.111885	−	0.0777915i
$365$	0.113582	−	0.789977i	0.00594513	−	0.0413493i
$366$	1.71887	+	6.47101i	0.0898466	+	0.338245i
$367$	−19.5909	−	11.3108i	−1.02263	−	0.590418i	−0.107769	−	0.994176i	$-0.534371\pi$
$367$	−19.5909	−	11.3108i	−1.02263	−	0.590418i	−0.914866	+	0.403757i	$0.867704\pi$
$368$	1.25577	−	4.62850i	0.0654615	−	0.241277i
$369$	8.62353	+	19.1018i	0.448923	+	0.994398i
$370$	−2.75829	+	1.77264i	−0.143396	+	0.0921553i
$371$	9.55675	−	11.8751i	0.496162	−	0.616526i
$372$	−5.89026	+	1.86884i	−0.305396	+	0.0968948i
$373$	15.6946	−	16.4600i	0.812635	−	0.852268i	−0.178662	−	0.983911i	$-0.557177\pi$
$373$	15.6946	−	16.4600i	0.812635	−	0.852268i	0.991297	+	0.131643i	$0.0420252\pi$
$374$	3.32285	−	34.7984i	0.171820	−	1.79938i
$375$	−7.83200	−	5.88951i	−0.404443	−	0.304133i
$376$	−7.95185	+	6.25340i	−0.410085	+	0.322495i
$377$	0.127423	−	0.433963i	0.00656263	−	0.0223503i
$378$	12.4706	−	5.78654i	0.641419	−	0.297627i
$379$	9.29611	−	14.4650i	0.477509	−	0.743018i	−0.516023	−	0.856575i	$-0.672588\pi$
$379$	9.29611	−	14.4650i	0.477509	−	0.743018i	0.993532	+	0.113557i	$0.0362243\pi$
$380$	−1.37560	−	0.0655278i	−0.0705667	−	0.00336151i
$381$	−7.23222	+	13.1768i	−0.370518	+	0.675067i
$382$	0.666924	+	0.699450i	0.0341228	+	0.0357870i
$383$	9.16794	−	7.20975i	0.468460	−	0.368401i	−0.355847	−	0.934544i	$-0.615808\pi$
$383$	9.16794	−	7.20975i	0.468460	−	0.368401i	0.824307	+	0.566143i	$0.191565\pi$
$384$	1.71935	+	0.209357i	0.0877403	+	0.0106837i
$385$	−6.44928	+	2.85809i	−0.328686	+	0.145662i
$386$	3.57672	+	12.1812i	0.182050	+	0.620005i
$387$	30.4917	+	0.132281i	1.54998	+	0.00672422i
$388$	3.56330	−	4.53111i	0.180899	−	0.230032i
$389$	−0.0175517	−	0.368455i	−0.000889904	−	0.0186814i	0.998379	−	0.0569205i	$-0.0181282\pi$
$389$	−0.0175517	−	0.368455i	−0.000889904	−	0.0186814i	−0.999269	+	0.0382391i	$0.987825\pi$
$390$	0.949159	+	0.305684i	0.0480625	+	0.0154789i
$391$	36.8249	+	0.992115i	1.86231	+	0.0501734i
$392$	0.157414	−	6.99823i	0.00795060	−	0.353464i
$393$	−2.63111	+	9.73491i	−0.132722	+	0.491061i
$394$	−15.0420	+	6.02189i	−0.757803	+	0.303378i
$395$	6.99419	−	4.98054i	0.351916	−	0.250598i
$396$	12.8823	+	4.52127i	0.647358	+	0.227202i
$397$	9.23145	−	12.9638i	0.463313	−	0.650632i	−0.515139	−	0.857107i	$-0.672260\pi$
$397$	9.23145	−	12.9638i	0.463313	−	0.650632i	0.978452	+	0.206474i	$0.0661990\pi$
$398$	−17.5922	−	20.3024i	−0.881815	−	1.01767i
$399$	6.96912	−	8.21362i	0.348892	−	0.411196i
$400$	4.46812	+	1.31196i	0.223406	+	0.0655979i
$401$	−9.16401	−	1.76622i	−0.457629	−	0.0882007i	−0.0447730	−	0.998997i	$-0.514256\pi$
$401$	−9.16401	−	1.76622i	−0.457629	−	0.0882007i	−0.412856	+	0.910797i	$0.635469\pi$
$402$	−9.93323	−	3.72947i	−0.495425	−	0.186009i
$403$	3.11621	−	1.60652i	0.155229	−	0.0800264i
$404$	1.50196	−	7.79293i	0.0747255	−	0.387713i
$405$	4.66557	+	2.45674i	0.231834	+	0.122076i
$406$	−0.741949	−	0.965616i	−0.0368223	−	0.0479227i
$407$	19.2478	−	16.6783i	0.954080	−	0.826715i
$408$	1.55083	+	13.2137i	0.0767775	+	0.654176i
$409$	−2.73543	+	11.2756i	−0.135258	+	0.557543i	0.863340	+	0.504622i	$0.168368\pi$
$409$	−2.73543	+	11.2756i	−0.135258	+	0.557543i	−0.998599	+	0.0529207i	$0.983147\pi$
$410$	2.37414	+	3.33401i	0.117250	+	0.164655i
$411$	−18.4854	−	9.02927i	−0.911818	−	0.445381i
$412$	−2.29184	−	3.56617i	−0.112911	−	0.175693i
$413$	12.5330	−	21.1548i	0.616709	−	1.04096i
$414$	−3.82751	+	13.8690i	−0.188112	+	0.681626i
$415$	−2.40946	−	4.17330i	−0.118276	−	0.204859i
$416$	−0.981548	+	0.0467569i	−0.0481244	+	0.00229245i
$417$	−2.52741	−	36.4487i	−0.123768	−	1.78490i
$418$	10.6489	−	1.01685i	0.520854	−	0.0497355i
$419$	6.90298	−	2.02690i	0.337233	−	0.0990205i	−0.108732	−	0.994071i	$-0.534679\pi$
$419$	6.90298	−	2.02690i	0.337233	−	0.0990205i	0.445965	+	0.895051i	$0.352861\pi$
$420$	2.17069	−	1.57997i	0.105919	−	0.0770948i
$421$	−24.7479	+	21.4442i	−1.20614	+	1.04513i	−0.208393	+	0.978045i	$0.566823\pi$
$421$	−24.7479	+	21.4442i	−1.20614	+	1.04513i	−0.997748	+	0.0670811i	$0.978631\pi$
$422$	9.93917	+	12.6387i	0.483831	+	0.615241i
$423$	23.9367	−	18.6565i	1.16384	−	0.907112i
$424$	−5.44446	+	1.88434i	−0.264406	+	0.0915119i
$425$	−1.70200	+	35.7294i	−0.0825592	+	1.73313i
$426$	−2.64901	−	15.9647i	−0.128345	−	0.773494i
$427$	−10.0202	−	2.04835i	−0.484911	−	0.0991267i
$428$	−3.60836	−	1.05951i	−0.174417	−	0.0512133i
$429$	−7.63564	−	1.30103i	−0.368652	−	0.0628145i
$430$	5.84721	−	1.12696i	0.281977	−	0.0543467i
$431$	26.3826	+	2.51923i	1.27081	+	0.121347i	0.708576	−	0.705634i	$-0.249338\pi$
$431$	26.3826	+	2.51923i	1.27081	+	0.121347i	0.562229	+	0.826982i	$0.309944\pi$
$432$	−5.15528	−	0.650443i	−0.248034	−	0.0312945i
$433$	9.36077	+	4.27492i	0.449850	+	0.205440i	0.627440	−	0.778665i	$-0.284103\pi$
$433$	9.36077	+	4.27492i	0.449850	+	0.205440i	−0.177590	+	0.984105i	$0.556830\pi$
$434$	1.44836	−	9.32776i	0.0695237	−	0.447747i
$435$	0.121862	−	0.450881i	0.00584284	−	0.0216181i
$436$	8.89609	−	5.13616i	0.426046	−	0.245978i
$437$	1.83456	+	11.1228i	0.0877588	+	0.532077i
$438$	−0.496539	−	2.30663i	−0.0237256	−	0.110215i
$439$	−15.0981	−	7.78360i	−0.720592	−	0.371491i	0.0585956	−	0.998282i	$-0.481338\pi$
$439$	−15.0981	−	7.78360i	−0.720592	−	0.371491i	−0.779188	+	0.626791i	$0.784368\pi$
$440$	2.63910	+	0.379446i	0.125814	+	0.0180894i
$441$	−0.563317	+	20.9924i	−0.0268246	+	0.999640i
$442$	−2.12655	−	7.24237i	−0.101150	−	0.344484i
$443$	−9.05727	−	6.44966i	−0.430324	−	0.306432i	0.344294	−	0.938862i	$-0.388118\pi$
$443$	−9.05727	−	6.44966i	−0.430324	−	0.306432i	−0.774618	+	0.632430i	$0.782058\pi$
$444$	−5.82576	+	7.74722i	−0.276478	+	0.367667i
$445$	−7.33852	−	2.93790i	−0.347879	−	0.139270i
$446$	19.9840	−	4.84806i	0.946269	−	0.229562i
$447$	−28.7416	+	0.621801i	−1.35943	+	0.0294102i
$448$	−1.45534	+	2.20952i	−0.0687583	+	0.104390i
$449$	−10.4813	+	16.3092i	−0.494643	+	0.769680i	−0.995390	−	0.0959140i	$-0.969423\pi$
$449$	−10.4813	+	16.3092i	−0.494643	+	0.769680i	0.500746	+	0.865594i	$0.333059\pi$
$450$	−13.3872	−	3.99399i	−0.631077	−	0.188278i
$451$	−21.9394	−	23.0094i	−1.03309	−	1.08347i
$452$	−15.1128	−	6.05027i	−0.710848	−	0.284581i
$453$	0.231433	−	0.0985121i	0.0108737	−	0.00462850i
$454$	5.60293	−	2.55877i	0.262959	−	0.120089i
$455$	−1.06346	+	1.09050i	−0.0498557	+	0.0511235i
$456$	−3.88072	+	1.23126i	−0.181732	+	0.0576591i
$457$	−7.80948	−	19.5071i	−0.365312	−	0.912505i	−0.991173	−	0.132571i	$-0.957677\pi$
$457$	−7.80948	−	19.5071i	−0.365312	−	0.912505i	0.625861	−	0.779934i	$-0.284748\pi$
$458$	0.525103	+	11.0233i	0.0245364	+	0.515083i
$459$	−4.48047	−	39.6610i	−0.209130	−	1.85121i
$460$	−0.209230	+	2.80195i	−0.00975542	+	0.130642i
$461$		−	18.5843i		−	0.865557i	−0.901500	−	0.432779i	$-0.857533\pi$
$461$		−	18.5843i		−	0.865557i	0.901500	−	0.432779i	$-0.142467\pi$
$462$	−14.9430	+	14.5474i	−0.695212	+	0.676807i
$463$	−3.35897	+	23.3622i	−0.156105	+	1.08573i	0.749621	+	0.661868i	$0.230236\pi$
$463$	−3.35897	+	23.3622i	−0.156105	+	1.08573i	−0.905725	+	0.423865i	$0.860673\pi$
$464$	0.0437509	+	0.458180i	0.00203109	+	0.0212705i
$465$	3.18138	−	1.72821i	0.147533	−	0.0801440i
$466$	−26.0357	−	2.48610i	−1.20608	−	0.115167i
$467$	−5.79570	+	16.7456i	−0.268193	+	0.774893i	0.727827	+	0.685761i	$0.240531\pi$
$467$	−5.79570	+	16.7456i	−0.268193	+	0.774893i	−0.996020	+	0.0891322i	$0.971591\pi$
$468$	2.94523	−	0.127495i	0.136143	−	0.00589345i
$469$	11.8549	−	11.0518i	0.547409	−	0.510326i
$470$	3.88123	−	4.47918i	0.179028	−	0.206609i
$471$	2.99885	+	3.64811i	0.138180	+	0.168096i
$472$	−8.26052	+	4.25859i	−0.380221	+	0.196018i
$473$	−43.7111	+	15.1286i	−2.00984	+	0.695613i
$474$	14.2736	−	20.9910i	0.655607	−	0.964146i
$475$	−10.8348	+	1.55780i	−0.497133	+	0.0714770i
$476$	−19.1291	−	6.86248i	−0.876782	−	0.314541i
$477$	16.3577	−	5.58212i	0.748969	−	0.255588i
$478$	−10.8267	−	10.3232i	−0.495199	−	0.472172i
$479$	−17.0375	−	23.9259i	−0.778465	−	1.09320i	−0.993188	−	0.116526i	$-0.962824\pi$
$479$	−17.0375	−	23.9259i	−0.778465	−	1.09320i	0.214723	−	0.976675i	$-0.431115\pi$
$480$	−1.01233	+	0.0701967i	−0.0462064	+	0.00320402i
$481$	2.51995	−	4.88803i	0.114900	−	0.222875i
$482$	23.5972			1.07482
$483$	−16.3689	−	14.6649i	−0.744809	−	0.667277i
$484$	−9.71052			−0.441387
$485$	−1.54752	+	3.00177i	−0.0702693	+	0.136303i
$486$	15.4572	+	2.01841i	0.701154	+	0.0915567i
$487$	−10.1606	−	14.2686i	−0.460422	−	0.646572i	0.517466	−	0.855704i	$-0.326875\pi$
$487$	−10.1606	−	14.2686i	−0.460422	−	0.646572i	−0.977887	+	0.209132i	$0.932936\pi$
$488$	2.79766	+	2.66757i	0.126644	+	0.120755i
$489$	11.6728	−	27.0960i	0.527863	−	1.22532i
$490$	0.685387	+	4.04344i	0.0309626	+	0.182664i
$491$	4.51708	−	0.649459i	0.203853	−	0.0293097i	−0.0396317	−	0.999214i	$-0.512618\pi$
$491$	4.51708	−	0.649459i	0.203853	−	0.0293097i	0.243485	+	0.969905i	$0.421709\pi$
$492$	10.0060	+	6.80396i	0.451106	+	0.306746i
$493$	−3.34099	+	1.15633i	−0.150470	+	0.0520783i
$494$	2.05308	−	1.05843i	0.0923722	−	0.0476212i
$495$	−7.91230	−	1.17267i	−0.355631	−	0.0527078i
$496$	−2.33642	+	2.69637i	−0.104908	+	0.121071i
$497$	23.6388	+	7.23068i	1.06035	+	0.324341i
$498$	−10.9660	−	9.09436i	−0.491398	−	0.407528i
$499$	−2.95707	+	8.54388i	−0.132376	+	0.382477i	−0.991636	−	0.129062i	$-0.958803\pi$
$499$	−2.95707	+	8.54388i	−0.132376	+	0.382477i	0.859260	+	0.511539i	$0.170924\pi$
$500$	−5.63202	−	0.537793i	−0.251872	−	0.0240508i
$501$	5.94106	+	10.9366i	0.265427	+	0.488610i
$502$	−1.47624	−	15.4598i	−0.0658876	−	0.690007i
$503$	−2.21530	+	15.4078i	−0.0987755	+	0.686998i	0.878920	+	0.476970i	$0.158265\pi$
$503$	−2.21530	+	15.4078i	−0.0987755	+	0.686998i	−0.977695	+	0.210029i	$0.932644\pi$
$504$	4.39473	−	6.60956i	0.195757	−	0.294413i
$505$			4.64970i			0.206909i
$506$	−1.48874	−	21.7744i	−0.0661826	−	0.967991i
$507$	20.3774	−	4.38655i	0.904990	−	0.194814i
$508$	0.412925	+	8.66835i	0.0183206	+	0.384596i
$509$	8.40902	+	21.0047i	0.372723	+	0.931017i	0.989585	+	0.143946i	$0.0459793\pi$
$509$	8.40902	+	21.0047i	0.372723	+	0.931017i	−0.616862	+	0.787071i	$0.711596\pi$
$510$	−2.35727	−	7.42972i	−0.104382	−	0.328993i
$511$	3.49278	+	0.889041i	0.154511	+	0.0393289i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	11.6581	−	3.64324i	0.514717	−	0.160853i
$514$	5.94102	+	2.37842i	0.262047	+	0.104908i
$515$	1.71387	+	1.79745i	0.0755221	+	0.0792053i
$516$	15.0520	−	9.12998i	0.662629	−	0.401925i
$517$	−24.8898	+	38.7292i	−1.09465	+	1.70331i
$518$	−6.63639	−	13.2362i	−0.291586	−	0.581563i
$519$	−0.649650	−	30.0288i	−0.0285165	−	1.31812i
$520$	0.559487	−	0.135730i	0.0245351	−	0.00595216i
$521$	−14.8037	−	5.92652i	−0.648563	−	0.259645i	0.0239700	−	0.999713i	$-0.492369\pi$
$521$	−14.8037	−	5.92652i	−0.648563	−	0.259645i	−0.672533	+	0.740067i	$0.734794\pi$
$522$	−0.125288	−	1.37510i	−0.00548373	−	0.0601864i
$523$	−31.8315	−	22.6671i	−1.39190	−	0.991165i	−0.997385	−	0.0722739i	$-0.976974\pi$
$523$	−31.8315	−	22.6671i	−1.39190	−	0.991165i	−0.394511	−	0.918891i	$-0.629086\pi$
$524$	1.64028	+	5.58628i	0.0716560	+	0.244038i
$525$	14.5650	−	15.5965i	0.635670	−	0.680689i
$526$	11.2494	+	1.61742i	0.490496	+	0.0705227i
$527$	−24.3589	−	12.5579i	−1.06109	−	0.547030i
$528$	7.70584	−	1.65880i	0.335353	−	0.0721902i
$529$	22.7860	−	3.13044i	0.990694	−	0.136106i
$530$	2.92319	−	1.68770i	0.126975	−	0.0733092i
$531$	24.8367	−	12.6681i	1.07782	−	0.549751i
$532$	0.954236	−	6.14547i	0.0413714	−	0.266440i
$533$	−6.24454	−	2.85179i	−0.270481	−	0.123525i
$534$	−23.3614	−	0.606809i	−1.01095	−	0.0262592i
$535$	2.19331	+	0.209436i	0.0948253	+	0.00905471i
$536$	−6.01515	+	1.15932i	−0.259815	+	0.0500752i
$537$	1.48736	−	8.72915i	0.0641841	−	0.376691i
$538$	24.1809	+	7.10015i	1.04251	+	0.306109i
$539$	−9.73952	−	30.3308i	−0.419511	−	1.30644i
$540$	3.03788	−	0.197413i	0.130730	−	0.00849530i
$541$	1.93088	−	40.5342i	0.0830150	−	1.74270i	−0.446842	−	0.894613i	$-0.647451\pi$
$541$	1.93088	−	40.5342i	0.0830150	−	1.74270i	0.529857	−	0.848087i	$-0.322246\pi$
$542$	−2.37811	+	0.823071i	−0.102149	+	0.0353539i
$543$	0.812413	−	11.0230i	0.0348640	−	0.473040i
$544$	4.74827	+	6.03791i	0.203580	+	0.258873i
$545$	−4.54832	+	3.94114i	−0.194828	+	0.168820i
$546$	−1.82802	+	4.11539i	−0.0782321	+	0.176122i
$547$	20.9377	−	6.14787i	0.895233	−	0.262864i	0.198420	−	0.980117i	$-0.436419\pi$
$547$	20.9377	−	6.14787i	0.895233	−	0.262864i	0.696813	+	0.717253i	$0.254601\pi$
$548$	−11.8239	+	1.12905i	−0.505092	+	0.0482305i
$549$	−8.35820	−	8.03904i	−0.356719	−	0.343098i
$550$	21.1683	−	1.00837i	0.902620	−	0.0429971i
$551$	−0.540950	−	0.936953i	−0.0230452	−	0.0399155i
$552$	2.29794	+	7.98245i	0.0978068	+	0.339756i
$553$	19.0086	+	33.7960i	0.808330	+	1.43715i
$554$	15.0009	+	23.3419i	0.637328	+	0.991701i
$555$	2.49249	−	5.10281i	0.105800	−	0.216602i
$556$	−12.2358	−	17.1828i	−0.518915	−	0.728714i
$557$	3.50019	−	14.4280i	0.148308	−	0.611333i	−0.848335	−	0.529460i	$-0.822395\pi$
$557$	3.50019	−	14.4280i	0.148308	−	0.611333i	0.996643	−	0.0818730i	$-0.0260902\pi$
$558$	7.04428	−	8.05862i	0.298208	−	0.341149i
$559$	−7.54825	+	6.54060i	−0.319257	+	0.276638i
$560$	0.592250	−	1.43247i	0.0250271	−	0.0605330i
$561$	26.3374	+	54.5184i	1.11197	+	2.30177i
$562$	5.73372	−	29.7494i	0.241863	−	1.25490i
$563$	−38.9384	+	20.0742i	−1.64106	+	0.846025i	−0.644370	+	0.764714i	$0.722880\pi$
$563$	−38.9384	+	20.0742i	−1.64106	+	0.846025i	−0.996689	+	0.0813108i	$0.974089\pi$
$564$	6.15881	−	16.4037i	0.259333	−	0.690719i
$565$	9.36504	+	1.80496i	0.393990	+	0.0759354i
$566$	−4.59823	−	1.35016i	−0.193278	−	0.0567515i
$567$	−13.2701	+	19.7713i	−0.557291	+	0.830317i
$568$	−6.11854	−	7.06117i	−0.256728	−	0.296280i
$569$	3.45726	−	4.85504i	0.144936	−	0.203534i	−0.735726	−	0.677279i	$-0.763159\pi$
$569$	3.45726	−	4.85504i	0.144936	−	0.203534i	0.880662	+	0.473745i	$0.157098\pi$
$570$	2.09601	−	1.13861i	0.0877921	−	0.0476912i
$571$	−3.07454	+	2.18937i	−0.128665	+	0.0916222i	−0.642578	−	0.766220i	$-0.722135\pi$
$571$	−3.07454	+	2.18937i	−0.128665	+	0.0916222i	0.513912	+	0.857843i	$0.328196\pi$
$572$	−4.15164	+	1.66207i	−0.173589	+	0.0694944i
$573$	−1.61595	−	0.436752i	−0.0675074	−	0.0182456i
$574$	−16.1099	+	9.06109i	−0.672416	+	0.378202i
$575$	2.58182	+	22.1833i	0.107669	+	0.925106i
$576$	−2.73428	+	1.23439i	−0.113928	+	0.0514331i
$577$	−0.226536	−	4.75558i	−0.00943082	−	0.197977i	−0.998666	−	0.0516409i	$-0.983555\pi$
$577$	−0.226536	−	4.75558i	−0.00943082	−	0.197977i	0.989235	−	0.146336i	$-0.0467482\pi$
$578$	−25.9642	+	33.0162i	−1.07997	+	1.37329i
$579$	−16.2388	−	14.8265i	−0.674860	−	0.616167i
$580$	−0.0759711	−	0.258734i	−0.00315453	−	0.0107433i
$581$	19.8956	−	8.81700i	0.825408	−	0.365791i
$582$	−1.20682	+	9.91099i	−0.0500241	+	0.410824i
$583$	−20.6096	+	16.2076i	−0.853563	+	0.671249i
$584$	−0.940053	−	0.985900i	−0.0388997	−	0.0407968i
$585$	−1.68021	+	0.399905i	−0.0694682	+	0.0165340i
$586$	−26.8469	−	1.27888i	−1.10904	−	0.0528299i
$587$	−14.2909	+	22.2371i	−0.589850	+	0.917825i	0.410133	+	0.912026i	$0.365482\pi$
$587$	−14.2909	+	22.2371i	−0.589850	+	0.917825i	−0.999983	+	0.00579936i	$0.998154\pi$
$588$	6.05316	+	10.5052i	0.249628	+	0.433227i
$589$	2.36275	−	8.04679i	0.0973555	−	0.331562i
$590$	4.27998	−	3.36581i	0.176204	−	0.138568i
$591$	16.8666	−	22.4296i	0.693801	−	0.922631i
$592$	−0.531971	+	5.57105i	−0.0218639	+	0.228969i
$593$	28.9106	−	30.3206i	1.18722	−	1.24512i	0.224541	−	0.974465i	$-0.427912\pi$
$593$	28.9106	−	30.3206i	1.18722	−	1.24512i	0.962677	−	0.270654i	$-0.0872398\pi$
$594$	−23.1389	+	4.87608i	−0.949400	+	0.200068i
$595$	11.7656	+	1.82690i	0.482343	+	0.0748957i
$596$	−13.9630	+	8.97347i	−0.571947	+	0.367568i
$597$	44.2895	+	14.2638i	1.81265	+	0.583778i
$598$	−2.04588	−	4.24543i	−0.0836622	−	0.173609i
$599$	−10.7101	−	6.18350i	−0.437604	−	0.252651i	0.264977	−	0.964255i	$-0.414636\pi$
$599$	−10.7101	−	6.18350i	−0.437604	−	0.252651i	−0.702581	+	0.711604i	$0.747969\pi$
$600$	−7.79541	+	2.07066i	−0.318246	+	0.0845344i
$601$	−1.87668	+	13.0526i	−0.0765513	+	0.532426i	0.915075	+	0.403284i	$0.132131\pi$
$601$	−1.87668	+	13.0526i	−0.0765513	+	0.532426i	−0.991626	+	0.129142i	$0.958778\pi$
$602$	2.25502	+	26.7967i	0.0919076	+	1.09215i
$603$	18.0604	−	3.39965i	0.735474	−	0.138445i
$604$	0.0842355	−	0.118292i	0.00342750	−	0.00481324i
$605$	5.58633	−	1.07668i	0.227116	−	0.0437731i
$606$	4.77584	+	12.8899i	0.194005	+	0.523615i
$607$	−0.462529	−	1.90657i	−0.0187735	−	0.0773853i	0.961654	−	0.274265i	$-0.0884344\pi$
$607$	−0.462529	−	1.90657i	−0.0187735	−	0.0773853i	−0.980428	+	0.196879i	$0.936919\pi$
$608$	−1.53932	+	1.77647i	−0.0624276	+	0.0720453i
$609$	1.96615	+	0.763530i	0.0796723	+	0.0309398i
$610$	−1.90523	−	1.22442i	−0.0771405	−	0.0495752i
$611$	−1.88130	+	9.76113i	−0.0761094	+	0.394893i
$612$	−14.1661	−	18.1754i	−0.572630	−	0.734696i
$613$	−10.9397	+	27.3259i	−0.441849	+	1.10368i	0.525626	+	0.850716i	$0.323831\pi$
$613$	−10.9397	+	27.3259i	−0.441849	+	1.10368i	−0.967475	+	0.252968i	$0.918593\pi$
$614$	−7.61383	−	2.63517i	−0.307269	−	0.106347i
$615$	−6.51073	−	2.80478i	−0.262538	−	0.113100i
$616$	−2.97005	+	11.6684i	−0.119667	+	0.470135i
$617$	−16.5502	+	36.2398i	−0.666284	+	1.45896i	0.210264	+	0.977645i	$0.432568\pi$
$617$	−16.5502	+	36.2398i	−0.666284	+	1.45896i	−0.876548	+	0.481314i	$0.840160\pi$
$618$	6.59739	+	3.22252i	0.265386	+	0.129629i
$619$	7.50224	−	0.357376i	0.301541	−	0.0143641i	0.103734	−	0.994605i	$-0.466921\pi$
$619$	7.50224	−	0.357376i	0.301541	−	0.0143641i	0.197807	+	0.980241i	$0.436618\pi$
$620$	1.04514	−	1.81024i	0.0419739	−	0.0727010i
$621$	−6.78986	−	23.9770i	−0.272468	−	0.962165i
$622$	3.68864			0.147901
$623$	16.7131	−	31.5429i	0.669596	−	1.26374i
$624$	1.41159	−	0.950935i	0.0565089	−	0.0380679i
$625$	−19.8787	+	1.89818i	−0.795147	+	0.0759273i
$626$	1.26061	−	5.19632i	0.0503842	−	0.207687i
$627$	−14.8567	+	11.0714i	−0.593320	+	0.442149i
$628$	2.57657	+	0.891758i	0.102816	+	0.0355850i
$629$	−42.5501	+	6.11778i	−1.69658	+	0.243932i
$630$	−1.79538	+	4.28967i	−0.0715295	+	0.170904i
$631$	1.99838	+	1.73161i	0.0795544	+	0.0689343i	0.693730	−	0.720235i	$-0.255966\pi$
$631$	1.99838	+	1.73161i	0.0795544	+	0.0689343i	−0.614176	+	0.789169i	$0.710511\pi$
$632$	0.697339	−	14.6389i	0.0277387	−	0.582306i
$633$	−26.0720	−	9.78882i	−1.03627	−	0.389071i
$634$	1.36700	+	3.94967i	0.0542903	+	0.156862i
$635$	−1.19867	−	4.94100i	−0.0475679	−	0.196078i
$636$	6.37015	−	7.68113i	0.252593	−	0.304577i
$637$	−4.38650	−	5.29850i	−0.173800	−	0.209934i
$638$	0.870132	+	1.90532i	0.0344489	+	0.0754325i
$639$	18.2635	+	21.2629i	0.722495	+	0.841149i
$640$	−0.477239	+	0.339840i	−0.0188645	+	0.0134334i
$641$	−11.8563	−	9.32391i	−0.468296	−	0.368272i	0.355949	−	0.934505i	$-0.384158\pi$
$641$	−11.8563	−	9.32391i	−0.468296	−	0.368272i	−0.824245	+	0.566233i	$0.808400\pi$
$642$	6.29540	−	1.67222i	0.248460	−	0.0659973i
$643$			45.5250i			1.79533i	0.440679	+	0.897665i	$0.354738\pi$
$643$			45.5250i			1.79533i	−0.440679	+	0.897665i	$0.645262\pi$
$644$	−12.4813	−	2.28386i	−0.491834	−	0.0899965i
$645$	−7.64693	+	6.92128i	−0.301097	+	0.272525i
$646$	−16.0486	−	8.27361i	−0.631422	−	0.325521i
$647$	−14.9723	+	19.0388i	−0.588621	+	0.748492i	−0.985555	−	0.169355i	$-0.945832\pi$
$647$	−14.9723	+	19.0388i	−0.588621	+	0.748492i	0.396934	+	0.917847i	$0.370074\pi$
$648$	8.21882	−	3.66756i	0.322866	−	0.144076i
$649$	−29.1864	+	30.6098i	−1.14567	+	1.20154i
$650$	4.16249	−	1.90094i	0.163266	−	0.0745611i
$651$	6.23390	+	15.1147i	0.244326	+	0.592390i
$652$	−2.42416	−	16.8604i	−0.0949374	−	0.660304i
$653$	22.0692	−	5.35393i	0.863635	−	0.209516i	0.220611	−	0.975362i	$-0.429195\pi$
$653$	22.0692	−	5.35393i	0.863635	−	0.209516i	0.643024	+	0.765846i	$0.277680\pi$
$654$	−8.56074	+	15.5973i	−0.334751	+	0.609903i
$655$	−1.56302	−	3.03184i	−0.0610724	−	0.118464i
$656$	6.97813	+	0.332409i	0.272450	+	0.0129784i
$657$	2.80730	+	2.96991i	0.109523	+	0.115867i
$658$	18.2509	+	19.5771i	0.711494	+	0.763196i
$659$	−3.26339	−	22.6974i	−0.127124	−	0.884164i	−0.949175	−	0.314750i	$-0.898079\pi$
$659$	−3.26339	−	22.6974i	−0.127124	−	0.884164i	0.822051	−	0.569414i	$-0.192830\pi$
$660$	−4.24914	+	1.80869i	−0.165397	+	0.0704032i
$661$	2.48578	−	26.0323i	0.0966858	−	1.01254i	−0.808777	−	0.588115i	$-0.799870\pi$
$661$	2.48578	−	26.0323i	0.0966858	−	1.01254i	0.905463	−	0.424425i	$-0.139524\pi$
$662$	−11.0424	−	2.67885i	−0.429173	−	0.104116i
$663$	9.65483	+	8.81514i	0.374962	+	0.342352i
$664$	−8.14145	−	1.17056i	−0.315950	−	0.0454267i
$665$	0.132435	+	3.64121i	0.00513560	+	0.141200i
$666$	1.66840	−	16.7061i	0.0646493	−	0.647348i
$667$	−1.94065	+	1.05179i	−0.0751424	+	0.0407255i
$668$	6.22304	+	3.59287i	0.240777	+	0.139012i
$669$	−25.2398	+	25.1305i	−0.975827	+	0.971603i
$670$	3.33189	−	1.33389i	0.128722	−	0.0515325i
$671$	16.0021	+	7.30793i	0.617755	+	0.282119i
$672$	0.170496	−	4.57940i	0.00657703	−	0.176654i
$673$	−8.11334	−	17.7657i	−0.312746	−	0.684819i	0.686352	−	0.727269i	$-0.259211\pi$
$673$	−8.11334	−	17.7657i	−0.312746	−	0.684819i	−0.999099	+	0.0424504i	$0.986484\pi$
$674$	6.71661	−	19.4064i	0.258714	−	0.747505i
$675$	23.4130	−	6.11047i	0.901165	−	0.235192i
$676$	8.70969	−	8.30467i	0.334988	−	0.319410i
$677$	5.91404	+	1.13984i	0.227295	+	0.0438076i	0.301627	−	0.953426i	$-0.402470\pi$
$677$	5.91404	+	1.13984i	0.227295	+	0.0438076i	−0.0743318	+	0.997234i	$0.523682\pi$
$678$	27.8156	−	4.61541i	1.06825	−	0.177254i
$679$	−12.7365	−	8.38912i	−0.488783	−	0.321945i
$680$	−3.40108	−	2.94705i	−0.130425	−	0.113014i
$681$	−5.99902	+	8.82226i	−0.229883	+	0.338070i
$682$	−6.03456	+	15.0736i	−0.231075	+	0.577198i
$683$	−3.14281	−	16.3065i	−0.120256	−	0.623949i	−0.991179	−	0.132529i	$-0.957690\pi$
$683$	−3.14281	−	16.3065i	−0.120256	−	0.623949i	0.870923	−	0.491420i	$-0.163522\pi$
$684$	4.64103	−	5.30932i	0.177454	−	0.203007i
$685$	6.67694	−	1.96053i	0.255113	−	0.0749079i
$686$	−18.4853	+	1.13764i	−0.705771	+	0.0434352i
$687$	−10.6795	−	15.8529i	−0.407447	−	0.604824i
$688$	4.65741	−	9.03412i	0.177562	−	0.344423i
$689$	−2.83072	+	4.90294i	−0.107842	+	0.186787i
$690$	−2.20705	−	4.33740i	−0.0840208	−	0.165122i
$691$	−14.6946	−	25.4517i	−0.559007	−	0.968229i	−0.997580	−	0.0695329i	$-0.977849\pi$
$691$	−14.6946	−	25.4517i	−0.559007	−	0.968229i	0.438573	−	0.898696i	$-0.355484\pi$
$692$	−9.37536	−	14.5884i	−0.356398	−	0.554566i
$693$	9.06193	−	34.9663i	0.344234	−	1.32826i
$694$	−3.47654	+	7.61257i	−0.131968	+	0.288969i
$695$	8.94429	+	8.52836i	0.339276	+	0.323499i
$696$	−0.476360	−	0.639227i	−0.0180564	−	0.0242299i
$697$	10.1556	+	52.6922i	0.384670	+	1.99586i
$698$	5.14535	+	6.54284i	0.194754	+	0.247650i
$699$	40.7899	−	19.7052i	1.54281	−	0.745321i
$700$	2.46758	−	12.0710i	0.0932657	−	0.456240i
$701$	6.79599	+	4.36752i	0.256681	+	0.164959i	0.662653	−	0.748927i	$-0.269431\pi$
$701$	6.79599	+	4.36752i	0.256681	+	0.164959i	−0.405972	+	0.913886i	$0.633067\pi$
$702$	−4.24711	+	2.83441i	−0.160297	+	0.106978i
$703$	−4.30255	−	12.4314i	−0.162274	−	0.468859i
$704$	3.29363	−	3.14047i	0.124133	−	0.118361i
$705$	−1.72429	+	10.1197i	−0.0649404	+	0.381129i
$706$	0.128630	+	0.148446i	0.00484104	+	0.00558686i
$707$	−20.8788	−	2.23086i	−0.785227	−	0.0839003i
$708$	8.40779	−	13.7268i	0.315984	−	0.515884i
$709$	2.62674	+	27.5085i	0.0986493	+	1.03310i	0.900288	+	0.435294i	$0.143355\pi$
$709$	2.62674	+	27.5085i	0.0986493	+	1.03310i	−0.801639	+	0.597808i	$0.796038\pi$
$710$	4.30284	+	3.38379i	0.161483	+	0.126991i
$711$	−2.28252	+	43.9073i	−0.0856011	+	1.64665i
$712$	−11.6846	+	6.74612i	−0.437900	+	0.252822i
$713$	−16.2817	−	5.26102i	−0.609755	−	0.197027i
$714$	34.4930	−	7.02029i	1.29087	−	0.262728i
$715$	2.20409	−	1.41649i	0.0824285	−	0.0529736i
$716$	−1.90009	−	4.74620i	−0.0710098	−	0.177374i
$717$	25.3064	+	5.56258i	0.945083	+	0.207738i
$718$	−13.4621	−	3.26587i	−0.502401	−	0.121881i
$719$	13.7432	+	9.78647i	0.512534	+	0.364974i	0.806871	−	0.590728i	$-0.201159\pi$
$719$	13.7432	+	9.78647i	0.512534	+	0.364974i	−0.294337	+	0.955702i	$0.595099\pi$
$720$	1.43613	−	1.01330i	0.0535212	−	0.0377634i
$721$	−8.89349	+	6.83348i	−0.331211	+	0.254492i
$722$	−3.79625	+	12.9288i	−0.141282	+	0.481162i
$723$	−34.9455	+	21.1965i	−1.29964	+	0.788308i
$724$	−2.92411	−	5.67198i	−0.108674	−	0.210798i
$725$	−0.982134	−	1.90507i	−0.0364755	−	0.0707527i
$726$	14.3805	−	8.72263i	0.533710	−	0.323727i
$727$	−9.75105	+	33.2090i	−0.361646	+	1.23165i	0.554964	+	0.831874i	$0.312732\pi$
$727$	−9.75105	+	33.2090i	−0.361646	+	1.23165i	−0.916611	+	0.399781i	$0.869086\pi$
$728$	0.341041	+	2.57741i	0.0126398	+	0.0955253i
$729$	−24.7040	+	10.8956i	−0.914961	+	0.403542i
$730$	0.650114	+	0.462944i	0.0240618	+	0.0171343i
$731$	75.8720	+	18.4064i	2.80623	+	0.680784i
$732$	−6.53930	−	1.43740i	−0.241699	−	0.0531278i
$733$	−1.17726	−	2.94065i	−0.0434831	−	0.108615i	0.905037	−	0.425334i	$-0.139843\pi$
$733$	−1.17726	−	2.94065i	−0.0434831	−	0.108615i	−0.948520	+	0.316718i	$0.897419\pi$
$734$	19.0305	−	12.2302i	0.702428	−	0.451423i
$735$	−4.64709	−	5.37234i	−0.171410	−	0.198162i
$736$	3.53855	+	3.23707i	0.130433	+	0.119320i
$737$	−24.1431	+	13.9390i	−0.889321	+	0.513450i
$738$	−20.9299	−	1.08804i	−0.770439	−	0.0400512i
$739$	0.317033	+	0.249318i	0.0116623	+	0.00917130i	0.623973	−	0.781446i	$-0.285517\pi$
$739$	0.317033	+	0.249318i	0.0116623	+	0.00917130i	−0.612311	+	0.790617i	$0.709760\pi$
$740$	−0.311668	−	3.26393i	−0.0114571	−	0.119985i
$741$	−2.08968	+	3.41166i	−0.0767663	+	0.125331i
$742$	6.17587	+	13.9359i	0.226723	+	0.511602i
$743$	−15.7164	−	18.1377i	−0.576579	−	0.665408i	0.390287	−	0.920693i	$-0.372376\pi$
$743$	−15.7164	−	18.1377i	−0.576579	−	0.665408i	−0.966866	+	0.255286i	$0.917830\pi$
$744$	1.03798	−	6.09183i	0.0380543	−	0.223337i
$745$	7.03776	−	6.71049i	0.257844	−	0.245854i
$746$	7.43857	+	21.4923i	0.272345	+	0.786890i
$747$	24.4089	+	3.61762i	0.893075	+	0.132362i
$748$	29.4075	+	18.8990i	1.07524	+	0.691017i
$749$	−1.99276	+	9.74826i	−0.0728140	+	0.356194i
$750$	8.82364	−	4.26263i	0.322194	−	0.155649i
$751$	10.6144	+	13.4973i	0.387326	+	0.492525i	0.940144	−	0.340777i	$-0.110690\pi$
$751$	10.6144	+	13.4973i	0.387326	+	0.492525i	−0.552818	+	0.833302i	$0.686448\pi$
$752$	−1.91450	−	9.93336i	−0.0698146	−	0.362232i
$753$	16.0732	+	21.5687i	0.585742	+	0.786007i
$754$	0.327333	+	0.312112i	0.0119208	+	0.0113664i
$755$	−0.0353436	+	0.0773917i	−0.00128629	+	0.00281657i
$756$	−0.571082	+	13.7359i	−0.0207701	+	0.499568i
$757$	28.0278	+	43.6121i	1.01869	+	1.58511i	0.791416	+	0.611278i	$0.209344\pi$
$757$	28.0278	+	43.6121i	1.01869	+	1.58511i	0.227272	+	0.973831i	$0.427019\pi$
$758$	8.59730	+	14.8910i	0.312268	+	0.540864i
$759$	21.7639	+	30.9088i	0.789981	+	1.12192i
$760$	0.688579	−	1.19265i	0.0249774	−	0.0432621i
$761$	10.7681	−	20.8872i	0.390343	−	0.757159i	−0.609009	−	0.793163i	$-0.708433\pi$
$761$	10.7681	−	20.8872i	0.390343	−	0.757159i	0.999352	+	0.0360042i	$0.0114630\pi$
$762$	−8.39800	−	12.4662i	−0.304227	−	0.451603i
$763$	−15.5149	−	22.3144i	−0.561676	−	0.807837i
$764$	−0.927298	+	0.272279i	−0.0335485	+	0.00985072i
$765$	10.1648	+	8.88534i	0.367509	+	0.321250i
$766$	2.20729	+	11.4525i	0.0797525	+	0.413795i
$767$	−3.39421	+	8.47832i	−0.122558	+	0.306134i
$768$	−0.973937	+	1.43229i	−0.0351439	+	0.0516832i
$769$	−5.18623	−	4.49389i	−0.187020	−	0.162054i	0.556319	−	0.830969i	$-0.312213\pi$
$769$	−5.18623	−	4.49389i	−0.187020	−	0.162054i	−0.743339	+	0.668915i	$0.766759\pi$
$770$	0.414863	−	7.04200i	0.0149506	−	0.253776i
$771$	−10.9346	+	1.81437i	−0.393801	+	0.0653428i
$772$	−12.4660	−	2.40263i	−0.448661	−	0.0864724i
$773$	1.81121	−	1.72698i	0.0651445	−	0.0621152i	−0.656807	−	0.754058i	$-0.728094\pi$
$773$	1.81121	−	1.72698i	0.0651445	−	0.0621152i	0.721952	+	0.691943i	$0.243245\pi$
$774$	−14.0897	+	27.0415i	−0.506443	+	0.971987i
$775$	5.43404	−	15.7006i	0.195196	−	0.563983i
$776$	2.39461	+	5.24346i	0.0859615	+	0.188229i
$777$	21.7175	+	13.6404i	0.779113	+	0.489347i
$778$	0.335538	+	0.153235i	0.0120296	+	0.00549375i
$779$	−15.2451	+	6.10322i	−0.546213	+	0.218671i
$780$	−0.706632	+	0.703573i	−0.0253015	+	0.0251920i
$781$	−36.8235	−	21.2601i	−1.31765	−	0.760744i
$782$	−17.7560	+	32.2766i	−0.634952	+	1.15421i
$783$	1.42075	+	1.92386i	0.0507733	+	0.0687533i
$784$	6.14814	+	3.34669i	0.219577	+	0.119525i
$785$	−1.58114	−	0.227333i	−0.0564332	−	0.00811388i
$786$	−7.44709	−	6.79942i	−0.265629	−	0.242527i
$787$	41.7830	+	10.1365i	1.48940	+	0.361326i	0.896172	−	0.443706i	$-0.146336\pi$
$787$	41.7830	+	10.1365i	1.48940	+	0.361326i	0.593232	+	0.805031i	$0.297852\pi$
$788$	1.54015	−	16.1292i	0.0548657	−	0.574579i
$789$	−18.1123	+	7.70967i	−0.644814	+	0.274472i
$790$	1.22196	+	8.49890i	0.0434753	+	0.302377i
$791$	−12.5981	+	41.1863i	−0.447938	+	1.46442i
$792$	−9.92166	+	9.37845i	−0.352551	+	0.333249i
$793$	3.79427	+	0.180743i	0.134739	+	0.00641839i
$794$	7.29255	+	14.1456i	0.258803	+	0.502008i
$795$	−2.81299	+	5.12515i	−0.0997666	+	0.181770i
$796$	26.1067	−	6.33342i	0.925328	−	0.224482i
$797$	−7.21192	−	50.1600i	−0.255459	−	1.77676i	−0.564226	−	0.825620i	$-0.690825\pi$
$797$	−7.21192	−	50.1600i	−0.255459	−	1.77676i	0.308767	−	0.951138i	$-0.400084\pi$
$798$	4.10713	+	9.95810i	0.145391	+	0.352513i
$799$	70.6833	−	32.2800i	2.50060	−	1.14198i
$800$	−3.21353	+	3.37025i	−0.113615	+	0.119156i
$801$	35.1413	−	20.0861i	1.24166	−	0.709707i
$802$	5.76907	−	7.33597i	0.203713	−	0.259042i
$803$	−5.51024	−	2.84073i	−0.194452	−	0.100247i
$804$	7.86655	−	7.12007i	0.277432	−	0.251105i
$805$	7.43357	−	0.0700277i	0.261999	−	0.00246815i
$806$			3.50595i			0.123492i
$807$	−42.1877	+	11.2061i	−1.48508	+	0.394475i
$808$	6.23839	+	4.90593i	0.219466	+	0.172590i
$809$	10.3396	−	7.36281i	0.363521	−	0.258862i	−0.383671	−	0.923470i	$-0.625340\pi$
$809$	10.3396	−	7.36281i	0.363521	−	0.258862i	0.747193	+	0.664607i	$0.231401\pi$
$810$	−4.32152	+	3.02118i	−0.151843	+	0.106153i
$811$	−11.3326	−	24.8150i	−0.397942	−	0.871372i	−0.997475	−	0.0710219i	$-0.977374\pi$
$811$	−11.3326	−	24.8150i	−0.397942	−	0.871372i	0.599532	−	0.800351i	$-0.295353\pi$
$812$	1.19825	−	0.217000i	0.0420505	−	0.00761520i
$813$	2.78245	−	3.35508i	0.0975846	−	0.117668i
$814$	6.00443	+	24.7506i	0.210455	+	0.867508i
$815$	3.26402	+	9.43077i	0.114334	+	0.330346i
$816$	−12.4554	−	4.67644i	−0.436028	−	0.163708i
$817$	−1.13681	+	23.8645i	−0.0397718	+	0.834913i
$818$	−8.76871	−	7.59813i	−0.306591	−	0.265662i
$819$	−0.989569	−	7.73660i	−0.0345783	−	0.270339i
$820$	−4.05128	+	0.582486i	−0.141477	+	0.0203413i
$821$	12.3832	+	4.28586i	0.432176	+	0.149578i	0.534490	−	0.845175i	$-0.320504\pi$
$821$	12.3832	+	4.28586i	0.432176	+	0.149578i	−0.102314	+	0.994752i	$0.532625\pi$
$822$	16.4960	−	12.2930i	0.575366	−	0.428769i
$823$	4.82415	−	19.8854i	0.168159	−	0.693163i	−0.823830	−	0.566838i	$-0.808167\pi$
$823$	4.82415	−	19.8854i	0.168159	−	0.693163i	0.991989	−	0.126325i	$-0.0403182\pi$
$824$	4.21992	−	0.402953i	0.147008	−	0.0140375i
$825$	−30.4428	+	20.5081i	−1.05988	+	0.714001i
$826$	13.0602	+	20.8335i	0.454422	+	0.724889i
$827$	18.8385			0.655080			0.327540	−	0.944837i	$-0.393780\pi$
$827$	18.8385			0.655080			0.327540	+	0.944837i	$0.393780\pi$
$828$	−10.5734	−	9.75719i	−0.367452	−	0.339086i
$829$	−22.3192	+	38.6579i	−0.775177	+	1.34265i	0.159518	+	0.987195i	$0.449006\pi$
$829$	−22.3192	+	38.6579i	−0.775177	+	1.34265i	−0.934695	+	0.355451i	$0.884327\pi$
$830$	4.81345	−	0.229293i	0.167077	−	0.00795888i
$831$	−43.1823	−	21.0926i	−1.49798	−	0.731694i
$832$	0.408212	−	0.893860i	0.0141522	−	0.0309890i
$833$	−13.8484	+	51.9552i	−0.479819	+	1.80014i
$834$	33.5550	+	14.4553i	1.16192	+	0.500546i
$835$	−3.97840	−	1.37694i	−0.137678	−	0.0476509i
$836$	−3.97579	+	9.93105i	−0.137506	+	0.343473i
$837$	−3.19320	+	18.2618i	−0.110373	+	0.631220i
$838$	−1.36155	+	7.06440i	−0.0470340	+	0.244036i
$839$	−36.6312	−	23.5414i	−1.26465	−	0.812740i	−0.275735	−	0.961234i	$-0.588921\pi$
$839$	−36.6312	−	23.5414i	−1.26465	−	0.812740i	−0.988913	+	0.148493i	$0.952558\pi$
$840$	0.409668	+	2.65337i	0.0141349	+	0.0915500i
$841$	−18.8522	+	21.7566i	−0.650077	+	0.750229i
$842$	−7.72021	−	31.8231i	−0.266056	−	1.09670i
$843$	18.2317	+	49.2068i	0.627933	+	1.69477i
$844$	−15.7881	+	3.04291i	−0.543449	+	0.104741i
$845$	−4.08976	+	5.74327i	−0.140692	+	0.197574i
$846$	5.61416	+	29.8247i	0.193019	+	1.02540i
$847$	2.15441	+	25.6011i	0.0740263	+	0.879665i
$848$	0.819922	−	5.70268i	0.0281562	−	0.195831i
$849$	8.02240	−	2.13095i	0.275328	−	0.0731342i
$850$	−30.9777	−	17.8850i	−1.06253	−	0.613449i
$851$	−25.5904	+	8.09204i	−0.877229	+	0.277392i
$852$	15.4039	+	4.96093i	0.527728	+	0.169959i
$853$	−1.51987	+	0.976758i	−0.0520392	+	0.0334436i	−0.566402	−	0.824129i	$-0.691665\pi$
$853$	−1.51987	+	0.976758i	−0.0520392	+	0.0334436i	0.514363	+	0.857573i	$0.328029\pi$
$854$	6.41216	−	7.96769i	0.219420	−	0.272649i
$855$	−2.08124	+	3.56897i	−0.0711769	+	0.122056i
$856$	2.59518	−	2.72174i	0.0887013	−	0.0930272i
$857$	5.21293	−	54.5923i	0.178070	−	1.86484i	−0.259620	−	0.965711i	$-0.583597\pi$
$857$	5.21293	−	54.5923i	0.178070	−	1.86484i	0.437690	−	0.899126i	$-0.355797\pi$
$858$	4.65526	−	6.19066i	0.158928	−	0.211346i
$859$	22.2166	−	17.4713i	0.758021	−	0.596115i	−0.162545	−	0.986701i	$-0.551970\pi$
$859$	22.2166	−	17.4713i	0.758021	−	0.596115i	0.920566	+	0.390587i	$0.127728\pi$
$860$	−1.67767	+	5.71361i	−0.0572080	+	0.194832i
$861$	15.7182	−	27.8897i	0.535675	−	0.950480i
$862$	−14.3284	+	22.2954i	−0.488027	+	0.759385i
$863$	−16.4242	−	0.782382i	−0.559087	−	0.0266326i	−0.233863	−	0.972270i	$-0.575137\pi$
$863$	−16.4242	−	0.782382i	−0.559087	−	0.0266326i	−0.325224	+	0.945637i	$0.605440\pi$
$864$	2.94042	−	4.28415i	0.100035	−	0.145750i
$865$	7.01103	+	7.35296i	0.238382	+	0.250008i
$866$	−8.08906	+	6.36130i	−0.274877	+	0.216166i
$867$	8.79352	−	72.2170i	0.298644	−	2.45262i
$868$	7.62716	+	5.56158i	0.258883	+	0.188772i
$869$	−18.7903	−	63.9940i	−0.637418	−	2.17085i
$870$	0.344919	+	0.314921i	0.0116938	+	0.0106768i
$871$	−3.72109	+	4.73175i	−0.126084	+	0.160329i
$872$	0.488777	+	10.2607i	0.0165521	+	0.347471i
$873$	−7.11552	−	15.7614i	−0.240824	−	0.533443i
$874$	−10.7270	−	3.46615i	−0.362846	−	0.117244i
$875$	−0.168317	+	14.9678i	−0.00569014	+	0.506002i
$876$	2.27774	+	0.615618i	0.0769578	+	0.0207998i
$877$	−17.9289	+	7.17765i	−0.605416	+	0.242372i	−0.654058	−	0.756444i	$-0.726935\pi$
$877$	−17.9289	+	7.17765i	−0.605416	+	0.242372i	0.0486424	+	0.998816i	$0.484511\pi$
$878$	13.8367	−	9.85305i	0.466965	−	0.332524i
$879$	40.9069	−	22.2218i	1.37975	−	0.749522i
$880$	−1.54657	+	2.17186i	−0.0521349	+	0.0732133i
$881$	17.0452	+	19.6712i	0.574266	+	0.662739i	0.966362	−	0.257186i	$-0.0827952\pi$
$881$	17.0452	+	19.6712i	0.574266	+	0.662739i	−0.392096	+	0.919924i	$0.628250\pi$
$882$	−18.4007	−	10.1200i	−0.619584	−	0.340758i
$883$	−49.7203	−	14.5992i	−1.67322	−	0.491303i	−0.698667	−	0.715447i	$-0.746223\pi$
$883$	−49.7203	−	14.5992i	−1.67322	−	0.491303i	−0.974556	+	0.224145i	$0.928041\pi$
$884$	7.41172	+	1.42849i	0.249283	+	0.0480454i
$885$	−3.31490	+	8.82906i	−0.111429	+	0.296785i
$886$	9.88297	−	5.09502i	0.332025	−	0.171171i
$887$	1.27622	−	6.62164i	0.0428511	−	0.222333i	−0.954190	−	0.299201i	$-0.903280\pi$
$887$	1.27622	−	6.62164i	0.0428511	−	0.222333i	0.997041	+	0.0768681i	$0.0244920\pi$
$888$	−4.21649	−	8.72813i	−0.141496	−	0.292897i
$889$	22.7619	−	3.01184i	0.763410	−	0.101014i
$890$	5.97401	−	5.17651i	0.200249	−	0.173517i
$891$	29.8868	−	28.0060i	1.00124	−	0.938235i
$892$	−4.84806	+	19.9840i	−0.162325	+	0.669113i
$893$	13.7932	+	19.3699i	0.461573	+	0.648189i
$894$	12.6175	−	25.8315i	0.421992	−	0.863933i
$895$	1.61934	+	2.51975i	0.0541287	+	0.0842258i
$896$	−1.29703	−	2.30602i	−0.0433306	−	0.0770387i
$897$	6.84331	+	4.44939i	0.228492	+	0.148561i
$898$	−9.69341	−	16.7895i	−0.323473	−	0.560272i
$899$	1.64028	−	0.0781359i	0.0547062	−	0.00260598i
$900$	9.68435	−	10.0688i	0.322812	−	0.335628i
$901$	44.0541	−	4.20666i	1.46765	−	0.140144i
$902$	30.5048	−	8.95702i	1.01570	−	0.298236i
$903$	−27.4101	−	37.6581i	−0.912150	−	1.25318i
$904$	12.3028	−	10.6604i	0.409185	−	0.354561i
$905$	2.31110	+	2.93880i	0.0768234	+	0.0976889i
$906$	−0.0184879	+	0.250847i	−0.000614220	+	0.00833384i
$907$	−30.9673	+	10.7179i	−1.02825	+	0.355882i	−0.788554	−	0.614965i	$-0.789170\pi$
$907$	−30.9673	+	10.7179i	−1.02825	+	0.355882i	−0.239699	+	0.970847i	$0.577049\pi$
$908$	−0.293084	+	6.15258i	−0.00972632	+	0.204181i
$909$	−18.6512	−	14.7988i	−0.618620	−	0.490846i
$910$	−0.481973	−	1.44494i	−0.0159772	−	0.0478992i
$911$	25.6073	+	7.51899i	0.848408	+	0.249115i	0.676907	−	0.736069i	$-0.263320\pi$
$911$	25.6073	+	7.51899i	0.848408	+	0.249115i	0.171501	+	0.985184i	$0.445138\pi$
$912$	0.683862	−	4.01352i	0.0226449	−	0.132901i
$913$	−36.7553	+	7.08401i	−1.21642	+	0.234447i
$914$	20.9171	+	1.99735i	0.691878	+	0.0660663i
$915$	3.92134	+	0.101856i	0.129636	+	0.00336727i
$916$	−10.0385	−	4.58442i	−0.331681	−	0.151474i
$917$	14.3639	−	5.56388i	0.474339	−	0.183736i
$918$	37.3051	+	14.1913i	1.23125	+	0.468383i
$919$	42.0260	−	24.2637i	1.38631	−	0.800386i	0.393413	−	0.919362i	$-0.371294\pi$
$919$	42.0260	−	24.2637i	1.38631	−	0.800386i	0.992897	+	0.118976i	$0.0379610\pi$
$920$	−2.39460	−	1.46990i	−0.0789476	−	0.0484612i
$921$	13.6425	−	2.93678i	0.449537	−	0.0967701i
$922$	16.5184	+	8.51582i	0.544004	+	0.280454i
$923$	−9.08782	−	1.30663i	−0.299129	−	0.0430083i
$924$	−6.08297	−	19.9479i	−0.200115	−	0.656237i
$925$	−7.34224	−	25.0054i	−0.241411	−	0.822172i
$926$	−19.2260	−	13.6907i	−0.631804	−	0.449906i
$927$	−12.6649	+	1.15393i	−0.415969	+	0.0379000i
$928$	−0.427295	−	0.171063i	−0.0140266	−	0.00561542i
$929$	1.63319	−	0.396207i	0.0535832	−	0.0129991i	−0.208878	−	0.977942i	$-0.566981\pi$
$929$	1.63319	−	0.396207i	0.0535832	−	0.0129991i	0.262461	+	0.964943i	$0.415466\pi$
$930$	0.0783079	+	3.61963i	0.00256782	+	0.118692i
$931$	−16.4138	−	1.15232i	−0.537942	−	0.0377659i
$932$	14.1400	−	22.0022i	0.463170	−	0.720707i
$933$	−5.46257	+	3.31338i	−0.178837	+	0.108475i
$934$	−12.2283	−	12.8247i	−0.400123	−	0.419637i
$935$	−19.0132	−	7.61173i	−0.621797	−	0.248930i
$936$	−1.23626	+	2.67624i	−0.0404084	+	0.0874757i
$937$	2.70825	−	1.23682i	0.0884746	−	0.0404050i	−0.370686	−	0.928758i	$-0.620877\pi$
$937$	2.70825	−	1.23682i	0.0884746	−	0.0404050i	0.459161	+	0.888353i	$0.348150\pi$
$938$	4.39102	+	15.6013i	0.143372	+	0.509401i
$939$	2.80081	+	8.82768i	0.0914011	+	0.288081i
$940$	2.20277	+	5.50225i	0.0718464	+	0.179464i
$941$	−0.130748	−	2.74474i	−0.00426227	−	0.0894760i	0.995734	−	0.0922722i	$-0.0294130\pi$
$941$	−0.130748	−	2.74474i	−0.00426227	−	0.0894760i	−0.999996	+	0.00279614i	$0.999110\pi$
$942$	−4.61672	+	0.993822i	−0.150421	+	0.0323805i
$943$	11.6099	+	31.4280i	0.378071	+	1.02344i
$944$		−	9.29364i		−	0.302482i
$945$	−1.19446	−	7.96537i	−0.0388558	−	0.259114i
$946$	6.58279	−	45.7843i	0.214025	−	1.48858i
$947$	0.753121	+	7.88704i	0.0244732	+	0.256295i	0.999426	+	0.0338821i	$0.0107871\pi$
$947$	0.753121	+	7.88704i	0.0244732	+	0.256295i	−0.974953	+	0.222412i	$0.928607\pi$
$948$	12.1170	+	22.3055i	0.393541	+	0.724448i
$949$	−1.33256	−	0.127244i	−0.0432567	−	0.00413052i
$950$	3.58015	−	10.3442i	0.116155	−	0.335609i
$951$	−5.57227	−	4.62121i	−0.180693	−	0.149853i
$952$	14.8651	−	13.8581i	0.481780	−	0.449143i
$953$	27.4575	−	31.6876i	0.889436	−	1.02646i	−0.110035	−	0.993928i	$-0.535096\pi$
$953$	27.4575	−	31.6876i	0.889436	−	1.02646i	0.999471	−	0.0325357i	$-0.0103583\pi$
$954$	−2.53396	+	17.0972i	−0.0820400	+	0.553543i
$955$	0.503272	−	0.259455i	0.0162855	−	0.00839576i
$956$	14.1367	−	4.89275i	0.457213	−	0.158243i
$957$	−3.00008	−	2.04002i	−0.0969789	−	0.0659444i
$958$	29.0732	−	4.18010i	0.939313	−	0.135053i
$959$	5.59994	+	30.9224i	0.180832	+	0.998538i
$960$	0.401484	−	0.931963i	0.0129578	−	0.0300790i
$961$	−13.2232	−	12.6083i	−0.426554	−	0.406718i
$962$	3.18994	+	4.47965i	0.102848	+	0.144430i
$963$	−7.82088	+	8.13137i	−0.252024	+	0.262030i
$964$	−10.8128	+	20.9740i	−0.348258	+	0.675527i
$965$	7.43792			0.239435
$966$	20.5354	−	7.82937i	0.660714	−	0.251906i
$967$	−36.9283			−1.18753			−0.593766	−	0.804638i	$-0.702360\pi$
$967$	−36.9283			−1.18753			−0.593766	+	0.804638i	$0.702360\pi$
$968$	4.44962	−	8.63105i	0.143016	−	0.277412i
$969$	31.1985	−	2.16335i	1.00224	−	0.0694969i
$970$	−1.95897	−	2.75098i	−0.0628986	−	0.0883288i
$971$	17.1574	+	16.3595i	0.550607	+	0.525003i	0.913506	−	0.406826i	$-0.133364\pi$
$971$	17.1574	+	16.3595i	0.550607	+	0.525003i	−0.362899	+	0.931829i	$0.618213\pi$
$972$	−8.87694	+	12.8140i	−0.284728	+	0.411011i
$973$	−42.5867	+	36.0712i	−1.36527	+	1.15639i
$974$	17.3383	−	2.49287i	0.555555	−	0.0798767i
$975$	−4.45674	+	6.55416i	−0.142730	+	0.209901i
$976$	−3.65299	+	1.26431i	−0.116929	+	0.0404697i
$977$	30.9575	−	15.9597i	0.990418	−	0.510596i	0.114691	−	0.993401i	$-0.463412\pi$
$977$	30.9575	−	15.9597i	0.990418	−	0.510596i	0.875728	+	0.482805i	$0.160382\pi$
$978$	18.7351	+	22.7913i	0.599083	+	0.728786i
$979$	−40.2095	+	46.4042i	−1.28510	+	1.48309i
$980$	−3.90801	−	1.24361i	−0.124837	−	0.0397258i
$981$	−1.33278	−	30.7881i	−0.0425523	−	0.982990i
$982$	−1.49259	+	4.31254i	−0.0476303	+	0.137619i
$983$	28.8940	+	2.75904i	0.921575	+	0.0879998i	0.545047	−	0.838405i	$-0.316512\pi$
$983$	28.8940	+	2.75904i	0.921575	+	0.0879998i	0.376528	+	0.926405i	$0.377118\pi$
$984$	−10.6326	+	5.77595i	−0.338956	+	0.184130i
$985$	0.902335	+	9.44968i	0.0287508	+	0.301092i
$986$	0.503144	−	3.49945i	0.0160234	−	0.111445i
$987$	−44.6136	−	12.5979i	−1.42007	−	0.400996i
$988$			2.30985i			0.0734861i
$989$	48.6095	+	3.62982i	1.54569	+	0.115422i
$990$	4.66794	−	6.49538i	0.148357	−	0.206437i
$991$	0.965073	+	20.2594i	0.0306566	+	0.643560i	0.960946	+	0.276735i	$0.0892524\pi$
$991$	0.965073	+	20.2594i	0.0306566	+	0.643560i	−0.930290	+	0.366825i	$0.880445\pi$
$992$	−1.32602	−	3.31224i	−0.0421012	−	0.105164i
$993$	18.7591	−	5.95183i	0.595303	−	0.188875i
$994$	−17.2588	+	17.6977i	−0.547417	+	0.561338i
$995$	−14.3166	+	6.53817i	−0.453867	+	0.207274i
$996$	13.1083	−	5.57969i	0.415352	−	0.176799i
$997$	−44.9025	−	17.9762i	−1.42208	−	0.569313i	−0.472074	−	0.881559i	$-0.656494\pi$
$997$	−44.9025	−	17.9762i	−1.42208	−	0.569313i	−0.950001	+	0.312246i	$0.898919\pi$
$998$	−6.23910	−	6.54338i	−0.197495	−	0.207127i
$999$	12.5357	+	26.2390i	0.396613	+	0.830165i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bf.a.11.15	✓	1280
3.2	odd	2	inner	966.2.bf.a.11.34	yes	1280
7.2	even	3	inner	966.2.bf.a.149.60	yes	1280
21.2	odd	6	inner	966.2.bf.a.149.21	yes	1280
23.21	odd	22	inner	966.2.bf.a.389.21	yes	1280
69.44	even	22	inner	966.2.bf.a.389.60	yes	1280
161.44	odd	66	inner	966.2.bf.a.527.34	yes	1280
483.44	even	66	inner	966.2.bf.a.527.15	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bf.a.11.15	✓	1280	1.1	even	1	trivial
966.2.bf.a.11.34	yes	1280	3.2	odd	2	inner
966.2.bf.a.149.21	yes	1280	21.2	odd	6	inner
966.2.bf.a.149.60	yes	1280	7.2	even	3	inner
966.2.bf.a.389.21	yes	1280	23.21	odd	22	inner
966.2.bf.a.389.60	yes	1280	69.44	even	22	inner
966.2.bf.a.527.15	yes	1280	483.44	even	66	inner
966.2.bf.a.527.34	yes	1280	161.44	odd	66	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.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.458227 + 0.888835i) q^{2} +(-0.119815 - 1.72790i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.424017 + 0.404299i) q^{5} +(1.59072 + 0.685274i) q^{6} +(-2.01888 + 1.71001i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.97129 + 0.414058i) q^{9} +O(q^{10})\)	\(q+(-0.458227 + 0.888835i) q^{2} +(-0.119815 - 1.72790i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.424017 + 0.404299i) q^{5} +(1.59072 + 0.685274i) q^{6} +(-2.01888 + 1.71001i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.97129 + 0.414058i) q^{9} +(-0.553651 + 0.191621i) q^{10} +(4.04498 - 2.08533i) q^{11} +(-1.33801 + 1.09988i) q^{12} +(0.643506 - 0.742646i) q^{13} +(-0.594808 - 2.57802i) q^{14} +(0.647785 - 0.781101i) q^{15} +(-0.327068 + 0.945001i) q^{16} +(-7.64652 - 0.730154i) q^{17} +(0.993494 - 2.83072i) q^{18} +(-0.223439 - 2.33996i) q^{19} +(0.0833785 - 0.579910i) q^{20} +(3.19661 + 3.28354i) q^{21} +4.55088i q^{22} +(-4.78466 + 0.327133i) q^{23} +(-0.364502 - 1.69326i) q^{24} +(-0.221577 - 4.65148i) q^{25} +(0.365218 + 0.912271i) q^{26} +(1.07146 + 5.08448i) q^{27} +(2.56400 + 0.652632i) q^{28} +(0.418671 - 0.191201i) q^{29} +(0.397437 + 0.933696i) q^{30} +(3.31224 + 1.32602i) q^{31} +(-0.690079 - 0.723734i) q^{32} +(-4.08790 - 6.73948i) q^{33} +(4.15283 - 6.46193i) q^{34} +(-1.54739 - 0.0911611i) q^{35} +(2.06080 + 2.18016i) q^{36} +(5.43864 - 1.31940i) q^{37} +(2.18223 + 0.873632i) q^{38} +(-1.36032 - 1.02294i) q^{39} +(0.477239 + 0.339840i) q^{40} +(-1.96819 - 6.70306i) q^{41} +(-4.38330 + 1.33666i) q^{42} +(-10.0605 - 1.44649i) q^{43} +(-4.04498 - 2.08533i) q^{44} +(-1.42728 - 1.02572i) q^{45} +(1.90169 - 4.40268i) q^{46} +(-8.76087 + 5.05809i) q^{47} +(1.67206 + 0.451916i) q^{48} +(1.15176 - 6.90460i) q^{49} +(4.23593 + 1.93448i) q^{50} +(-0.345464 + 13.2999i) q^{51} +(-0.978212 - 0.0934079i) q^{52} +(-5.65721 + 1.09034i) q^{53} +(-5.01024 - 1.37750i) q^{54} +(2.55824 + 0.751167i) q^{55} +(-1.75497 + 1.97992i) q^{56} +(-4.01645 + 0.666444i) q^{57} +(-0.0219003 + 0.459743i) q^{58} +(-8.78250 + 3.03965i) q^{59} +(-1.01202 - 0.0745877i) q^{60} +(2.38955 + 3.03856i) q^{61} +(-2.69637 + 2.33642i) q^{62} +(5.29064 - 5.91685i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.573109 - 0.0547252i) q^{65} +(7.86347 - 0.545265i) q^{66} +(-6.11891 + 0.291480i) q^{67} +(3.84065 + 6.65221i) q^{68} +(1.13853 + 8.22823i) q^{69} +(0.790084 - 1.33361i) q^{70} +(-5.05135 - 7.86006i) q^{71} +(-2.88212 + 0.832702i) q^{72} +(-0.790177 - 1.10965i) q^{73} +(-1.31940 + 5.43864i) q^{74} +(-8.01075 + 0.940182i) q^{75} +(-1.77647 + 1.53932i) q^{76} +(-4.60041 + 11.1270i) q^{77} +(1.53256 - 0.740366i) q^{78} +(2.77358 - 14.3907i) q^{79} +(-0.520745 + 0.268463i) q^{80} +(8.65711 - 2.46057i) q^{81} +(6.85979 + 1.32212i) q^{82} +(-7.89200 - 2.31730i) q^{83} +(0.820478 - 4.50853i) q^{84} +(-2.94705 - 3.40108i) q^{85} +(5.89570 - 8.27935i) q^{86} +(-0.380539 - 0.700514i) q^{87} +(3.70704 - 2.63977i) q^{88} +(-12.5258 + 5.01456i) q^{89} +(1.56572 - 0.798604i) q^{90} +(-0.0292345 + 2.59971i) q^{91} +(3.04185 + 3.70771i) q^{92} +(1.89438 - 5.88210i) q^{93} +(-0.481347 - 10.1047i) q^{94} +(0.851302 - 1.08252i) q^{95} +(-1.16786 + 1.27910i) q^{96} +(1.62401 + 5.53088i) q^{97} +(5.60928 + 4.18760i) q^{98} +(-11.1554 + 7.87099i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9	\( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9} + 64 q^{16} + 44 q^{18} - 132 q^{21} - 4 q^{24} + 72 q^{25} + 108 q^{27} + 44 q^{30} + 8 q^{36} + 44 q^{37} - 4 q^{39} - 88 q^{43} - 12 q^{46} + 60 q^{49} - 48 q^{54} + 96 q^{55} + 44 q^{58} - 176 q^{61} - 110 q^{63} + 128 q^{64} + 56 q^{69} - 120 q^{70} + 44 q^{72} + 40 q^{73} - 268 q^{75} + 16 q^{78} + 88 q^{79} + 8 q^{81} - 56 q^{82} - 22 q^{84} + 64 q^{85} - 42 q^{87} - 32 q^{93} + 8 q^{94} + 4 q^{96} + 132 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9 + 64 * q^16 + 44 * q^18 - 132 * q^21 - 4 * q^24 + 72 * q^25 + 108 * q^27 + 44 * q^30 + 8 * q^36 + 44 * q^37 - 4 * q^39 - 88 * q^43 - 12 * q^46 + 60 * q^49 - 48 * q^54 + 96 * q^55 + 44 * q^58 - 176 * q^61 - 110 * q^63 + 128 * q^64 + 56 * q^69 - 120 * q^70 + 44 * q^72 + 40 * q^73 - 268 * q^75 + 16 * q^78 + 88 * q^79 + 8 * q^81 - 56 * q^82 - 22 * q^84 + 64 * q^85 - 42 * q^87 - 32 * q^93 + 8 * q^94 + 4 * q^96 + 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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