LMFDB - Embedded newform 966.2.bd.a.59.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(59,966)]

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, 11, 42]))

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

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

chi := DirichletCharacter("966.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bd (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			59.7
Character	$\chi$	$=$	966.59
Dual form			966.2.bd.a.131.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.945001 - 0.327068i) q^{2} +(-1.38916 + 1.03452i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.847161 + 0.0808940i) q^{5} +(1.65112 - 0.523271i) q^{6} +(-1.22496 + 2.34510i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.859542 - 2.87423i) q^{9} +O(q^{10})$	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.38916 + 1.03452i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.847161 + 0.0808940i) q^{5} +(1.65112 - 0.523271i) q^{6} +(-1.22496 + 2.34510i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.859542 - 2.87423i) q^{9} +(0.827025 + 0.200634i) q^{10} +(-1.79328 + 0.620659i) q^{11} +(-1.73145 - 0.0455363i) q^{12} +(1.20869 + 4.11642i) q^{13} +(1.92459 - 1.81547i) q^{14} +(1.09316 - 0.988778i) q^{15} +(0.235759 + 0.971812i) q^{16} +(2.13970 + 0.856609i) q^{17} +(-1.75234 + 2.43502i) q^{18} +(-0.317974 - 0.794260i) q^{19} +(-0.715919 - 0.460093i) q^{20} +(-0.724383 - 4.52496i) q^{21} +1.89765 q^{22} +(-4.04294 + 2.57966i) q^{23} +(1.62133 + 0.609334i) q^{24} +(-4.19851 + 0.809196i) q^{25} +(0.204136 - 4.28535i) q^{26} +(1.77940 + 4.88198i) q^{27} +(-2.41252 + 1.08615i) q^{28} +(0.644955 - 0.0927305i) q^{29} +(-1.35643 + 0.576860i) q^{30} +(-0.217606 + 0.0103659i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(1.84907 - 2.71737i) q^{33} +(-1.74185 - 1.50932i) q^{34} +(0.848031 - 2.08577i) q^{35} +(2.45238 - 1.72796i) q^{36} +(3.05161 - 4.28539i) q^{37} +(0.0407084 + 0.854575i) q^{38} +(-5.93759 - 4.46797i) q^{39} +(0.526062 + 0.668942i) q^{40} +(0.631336 - 1.38243i) q^{41} +(-0.795427 + 4.51301i) q^{42} +(-2.49016 - 1.60033i) q^{43} +(-1.79328 - 0.620659i) q^{44} +(-0.495662 + 2.50446i) q^{45} +(4.66430 - 1.11546i) q^{46} +(-2.20466 - 3.81858i) q^{47} +(-1.33286 - 1.10611i) q^{48} +(-3.99896 - 5.74529i) q^{49} +(4.23225 + 0.608506i) q^{50} +(-3.85857 + 1.02360i) q^{51} +(-1.59451 + 3.98289i) q^{52} +(1.04021 + 1.09094i) q^{53} +(-0.0847953 - 5.19546i) q^{54} +(1.46899 - 0.670863i) q^{55} +(2.63508 - 0.237356i) q^{56} +(1.26339 + 0.774406i) q^{57} +(-0.639812 - 0.123314i) q^{58} +(0.643542 - 2.65272i) q^{59} +(1.47050 - 0.101488i) q^{60} +(3.49270 - 6.77489i) q^{61} +(0.209029 + 0.0613764i) q^{62} +(5.68744 + 5.53652i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(-1.35695 - 3.38950i) q^{65} +(-2.63614 + 1.96315i) q^{66} +(-10.9024 + 2.10126i) q^{67} +(1.15240 + 1.99602i) q^{68} +(2.94759 - 7.76606i) q^{69} +(-1.48358 + 1.69369i) q^{70} +(-0.255011 + 0.220969i) q^{71} +(-2.88266 + 0.830833i) q^{72} +(5.84957 - 7.43833i) q^{73} +(-4.28539 + 3.05161i) q^{74} +(4.99528 - 5.46754i) q^{75} +(0.241035 - 0.820889i) q^{76} +(0.741181 - 4.96569i) q^{77} +(4.14969 + 6.16423i) q^{78} +(-12.1056 - 11.5427i) q^{79} +(-0.278339 - 0.804209i) q^{80} +(-7.52238 - 4.94104i) q^{81} +(-1.04876 + 1.09991i) q^{82} +(-0.536889 - 1.17562i) q^{83} +(2.22774 - 4.00464i) q^{84} +(-1.88197 - 0.552596i) q^{85} +(1.82979 + 2.32677i) q^{86} +(-0.800016 + 0.796036i) q^{87} +(1.49165 + 1.17305i) q^{88} +(0.206083 - 4.32622i) q^{89} +(1.28753 - 2.20461i) q^{90} +(-11.1340 - 2.20794i) q^{91} +(-4.77260 - 0.471430i) q^{92} +(0.291567 - 0.239518i) q^{93} +(0.834468 + 4.32963i) q^{94} +(0.333626 + 0.647143i) q^{95} +(0.897786 + 1.48121i) q^{96} +(-13.5743 - 6.19915i) q^{97} +(1.89992 + 6.73723i) q^{98} +(0.242520 + 5.68777i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 + 4 * q^9	$ 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$2$	−0.945001	−	0.327068i	−0.668216	−	0.231272i
$3$	−1.38916	+	1.03452i	−0.802033	+	0.597280i
$3$	−1.38916	+	1.03452i	−0.802033	+	0.597280i
$4$	0.786053	+	0.618159i	0.393027	+	0.309079i
$5$	−0.847161	+	0.0808940i	−0.378862	+	0.0361769i	−0.282750	−	0.959194i	$-0.591247\pi$
$5$	−0.847161	+	0.0808940i	−0.378862	+	0.0361769i	−0.0961117	+	0.995371i	$0.530641\pi$
$6$	1.65112	−	0.523271i	0.674066	−	0.213624i
$7$	−1.22496	+	2.34510i	−0.462990	+	0.886363i
$7$	−1.22496	+	2.34510i	−0.462990	+	0.886363i
$8$	−0.540641	−	0.841254i	−0.191145	−	0.297428i
$9$	0.859542	−	2.87423i	0.286514	−	0.958076i
$10$	0.827025	+	0.200634i	0.261528	+	0.0634461i
$11$	−1.79328	+	0.620659i	−0.540693	+	0.187136i	−0.583745	−	0.811937i	$-0.698413\pi$
$11$	−1.79328	+	0.620659i	−0.540693	+	0.187136i	0.0430516	+	0.999073i	$0.486292\pi$
$12$	−1.73145	−	0.0455363i	−0.499827	−	0.0131452i
$13$	1.20869	+	4.11642i	0.335231	+	1.14169i	0.938824	+	0.344398i	$0.111917\pi$
$13$	1.20869	+	4.11642i	0.335231	+	1.14169i	−0.603593	+	0.797292i	$0.706265\pi$
$14$	1.92459	−	1.81547i	0.514369	−	0.485206i
$15$	1.09316	−	0.988778i	0.282252	−	0.255301i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	2.13970	+	0.856609i	0.518955	+	0.207758i	0.616328	−	0.787490i	$-0.288620\pi$
$17$	2.13970	+	0.856609i	0.518955	+	0.207758i	−0.0973730	+	0.995248i	$0.531044\pi$
$18$	−1.75234	+	2.43502i	−0.413029	+	0.573940i
$19$	−0.317974	−	0.794260i	−0.0729482	−	0.182216i	0.887412	−	0.460976i	$-0.152501\pi$
$19$	−0.317974	−	0.794260i	−0.0729482	−	0.182216i	−0.960361	+	0.278761i	$0.910076\pi$
$20$	−0.715919	−	0.460093i	−0.160084	−	0.102880i
$21$	−0.724383	−	4.52496i	−0.158073	−	0.987427i
$22$	1.89765			0.404579
$23$	−4.04294	+	2.57966i	−0.843011	+	0.537896i
$23$	−4.04294	+	2.57966i	−0.843011	+	0.537896i
$24$	1.62133	+	0.609334i	0.330953	+	0.124380i
$25$	−4.19851	+	0.809196i	−0.839701	+	0.161839i
$26$	0.204136	−	4.28535i	0.0400344	−	0.840426i
$27$	1.77940	+	4.88198i	0.342446	+	0.939538i
$28$	−2.41252	+	1.08615i	−0.455924	+	0.205264i
$29$	0.644955	−	0.0927305i	0.119765	−	0.0172196i	−0.0821716	−	0.996618i	$-0.526186\pi$
$29$	0.644955	−	0.0927305i	0.119765	−	0.0172196i	0.201937	+	0.979399i	$0.435276\pi$
$30$	−1.35643	+	0.576860i	−0.247649	+	0.105320i
$31$	−0.217606	+	0.0103659i	−0.0390833	+	0.00186177i	−0.0671144	−	0.997745i	$-0.521379\pi$
$31$	−0.217606	+	0.0103659i	−0.0390833	+	0.00186177i	0.0280312	+	0.999607i	$0.491076\pi$
$32$	0.0950560	−	0.995472i	0.0168037	−	0.175976i
$33$	1.84907	−	2.71737i	0.321882	−	0.473034i
$34$	−1.74185	−	1.50932i	−0.298725	−	0.258847i
$35$	0.848031	−	2.08577i	0.143343	−	0.352559i
$36$	2.45238	−	1.72796i	0.408729	−	0.287994i
$37$	3.05161	−	4.28539i	0.501682	−	0.704514i	−0.483631	−	0.875272i	$-0.660682\pi$
$37$	3.05161	−	4.28539i	0.501682	−	0.704514i	0.985313	+	0.170758i	$0.0546216\pi$
$38$	0.0407084	+	0.854575i	0.00660378	+	0.138630i
$39$	−5.93759	−	4.46797i	−0.950775	−	0.715447i
$40$	0.526062	+	0.668942i	0.0831777	+	0.105769i
$41$	0.631336	−	1.38243i	0.0985981	−	0.215900i	−0.853905	−	0.520429i	$-0.825772\pi$
$41$	0.631336	−	1.38243i	0.0985981	−	0.215900i	0.952503	+	0.304529i	$0.0984992\pi$
$42$	−0.795427	+	4.51301i	−0.122737	+	0.696373i
$43$	−2.49016	−	1.60033i	−0.379746	−	0.244048i	0.336817	−	0.941570i	$-0.390650\pi$
$43$	−2.49016	−	1.60033i	−0.379746	−	0.244048i	−0.716563	+	0.697522i	$0.754286\pi$
$44$	−1.79328	−	0.620659i	−0.270347	−	0.0935679i
$45$	−0.495662	+	2.50446i	−0.0738889	+	0.373344i
$46$	4.66430	−	1.11546i	0.687714	−	0.164466i
$47$	−2.20466	−	3.81858i	−0.321582	−	0.556997i	0.659232	−	0.751939i	$-0.270881\pi$
$47$	−2.20466	−	3.81858i	−0.321582	−	0.556997i	−0.980815	+	0.194942i	$0.937548\pi$
$48$	−1.33286	−	1.10611i	−0.192382	−	0.159653i
$49$	−3.99896	−	5.74529i	−0.571280	−	0.820755i
$50$	4.23225	+	0.608506i	0.598531	+	0.0860558i
$51$	−3.85857	+	1.02360i	−0.540308	+	0.143332i
$52$	−1.59451	+	3.98289i	−0.221119	+	0.552328i
$53$	1.04021	+	1.09094i	0.142884	+	0.149852i	0.791287	−	0.611445i	$-0.209411\pi$
$53$	1.04021	+	1.09094i	0.142884	+	0.149852i	−0.648403	+	0.761297i	$0.724563\pi$
$54$	−0.0847953	−	5.19546i	−0.0115392	−	0.707013i
$55$	1.46899	−	0.670863i	0.198078	−	0.0904592i
$56$	2.63508	−	0.237356i	0.352128	−	0.0317180i
$57$	1.26339	+	0.774406i	0.167341	+	0.102573i
$58$	−0.639812	−	0.123314i	−0.0840115	−	0.0161919i
$59$	0.643542	−	2.65272i	0.0837821	−	0.345354i	−0.914456	−	0.404685i	$-0.867381\pi$
$59$	0.643542	−	2.65272i	0.0837821	−	0.345354i	0.998238	+	0.0593302i	$0.0188965\pi$
$60$	1.47050	−	0.101488i	0.189841	−	0.0131020i
$61$	3.49270	−	6.77489i	0.447194	−	0.867436i	−0.552236	−	0.833688i	$-0.686225\pi$
$61$	3.49270	−	6.77489i	0.447194	−	0.867436i	0.999430	−	0.0337480i	$-0.0107444\pi$
$62$	0.209029	+	0.0613764i	0.0265467	+	0.00779480i
$63$	5.68744	+	5.53652i	0.716550	+	0.697535i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	−1.35695	−	3.38950i	−0.168309	−	0.420415i
$66$	−2.63614	+	1.96315i	−0.324486	+	0.241647i
$67$	−10.9024	+	2.10126i	−1.33193	+	0.256709i	−0.805040	−	0.593221i	$-0.797856\pi$
$67$	−10.9024	+	2.10126i	−1.33193	+	0.256709i	−0.526895	+	0.849930i	$0.676644\pi$
$68$	1.15240	+	1.99602i	0.139749	+	0.242053i
$69$	2.94759	−	7.76606i	0.354848	−	0.934924i
$70$	−1.48358	+	1.69369i	−0.177321	+	0.202434i
$71$	−0.255011	+	0.220969i	−0.0302643	+	0.0262242i	−0.669862	−	0.742486i	$-0.733647\pi$
$71$	−0.255011	+	0.220969i	−0.0302643	+	0.0262242i	0.639597	+	0.768710i	$0.279101\pi$
$72$	−2.88266	+	0.830833i	−0.339725	+	0.0979146i
$73$	5.84957	−	7.43833i	0.684640	−	0.870591i	−0.312201	−	0.950016i	$-0.601066\pi$
$73$	5.84957	−	7.43833i	0.684640	−	0.870591i	0.996841	+	0.0794254i	$0.0253085\pi$
$74$	−4.28539	+	3.05161i	−0.498167	+	0.354743i
$75$	4.99528	−	5.46754i	0.576805	−	0.631337i
$76$	0.241035	−	0.820889i	0.0276486	−	0.0941624i
$77$	0.741181	−	4.96569i	0.0844654	−	0.565893i
$78$	4.14969	+	6.16423i	0.469860	+	0.697961i
$79$	−12.1056	−	11.5427i	−1.36199	−	1.29866i	−0.914624	−	0.404306i	$-0.867513\pi$
$79$	−12.1056	−	11.5427i	−1.36199	−	1.29866i	−0.447368	−	0.894350i	$-0.647638\pi$
$80$	−0.278339	−	0.804209i	−0.0311193	−	0.0899133i
$81$	−7.52238	−	4.94104i	−0.835820	−	0.549004i
$82$	−1.04876	+	1.09991i	−0.115816	+	0.121465i
$83$	−0.536889	−	1.17562i	−0.0589313	−	0.129041i	0.877875	−	0.478889i	$-0.158961\pi$
$83$	−0.536889	−	1.17562i	−0.0589313	−	0.129041i	−0.936806	+	0.349848i	$0.886233\pi$
$84$	2.22774	−	4.00464i	0.243067	−	0.436942i
$85$	−1.88197	−	0.552596i	−0.204128	−	0.0599374i
$86$	1.82979	+	2.32677i	0.197311	+	0.250902i
$87$	−0.800016	+	0.796036i	−0.0857707	+	0.0853440i
$88$	1.49165	+	1.17305i	0.159010	+	0.125047i
$89$	0.206083	−	4.32622i	0.0218448	−	0.458578i	−0.961272	−	0.275600i	$-0.911123\pi$
$89$	0.206083	−	4.32622i	0.0218448	−	0.458578i	0.983117	−	0.182978i	$-0.0585736\pi$
$90$	1.28753	−	2.20461i	0.135718	−	0.232386i
$91$	−11.1340	−	2.20794i	−1.16716	−	0.231455i
$92$	−4.77260	−	0.471430i	−0.497578	−	0.0491500i
$93$	0.291567	−	0.239518i	0.0302341	−	0.0248368i
$94$	0.834468	+	4.32963i	0.0860688	+	0.446567i
$95$	0.333626	+	0.647143i	0.0342293	+	0.0663955i
$96$	0.897786	+	1.48121i	0.0916299	+	0.151175i
$97$	−13.5743	−	6.19915i	−1.37826	−	0.629429i	−0.417974	−	0.908459i	$-0.637260\pi$
$97$	−13.5743	−	6.19915i	−1.37826	−	0.629429i	−0.960282	+	0.279030i	$0.909987\pi$
$98$	1.89992	+	6.73723i	0.191921	+	0.680563i
$99$	0.242520	+	5.68777i	0.0243741	+	0.571642i
$100$	−3.80046	−	1.95927i	−0.380046	−	0.195927i
$101$	−5.43885	−	0.519348i	−0.541186	−	0.0516770i	−0.179116	−	0.983828i	$-0.557324\pi$
$101$	−5.43885	−	0.519348i	−0.541186	−	0.0516770i	−0.362070	+	0.932151i	$0.617930\pi$
$102$	3.98114	+	0.294716i	0.394192	+	0.0291813i
$103$	−0.475283	+	2.46600i	−0.0468310	+	0.242982i	−0.997799	−	0.0663059i	$-0.978879\pi$
$103$	−0.475283	+	2.46600i	−0.0468310	+	0.242982i	0.950968	+	0.309288i	$0.100091\pi$
$104$	2.80949	−	3.24232i	0.275493	−	0.317936i
$105$	0.979711	+	3.77477i	0.0956100	+	0.368380i
$106$	−0.626187	−	1.37116i	−0.0608207	−	0.133179i
$107$	−0.555581	+	1.07768i	−0.0537101	+	0.104183i	−0.914163	−	0.405347i	$-0.867151\pi$
$107$	−0.555581	+	1.07768i	−0.0537101	+	0.104183i	0.860453	+	0.509530i	$0.170181\pi$
$108$	−1.61914	+	4.93745i	−0.155802	+	0.475106i
$109$	−1.02593	−	0.410720i	−0.0982663	−	0.0393399i	0.322008	−	0.946737i	$-0.395642\pi$
$109$	−1.02593	−	0.410720i	−0.0982663	−	0.0393399i	−0.420275	+	0.907397i	$0.638066\pi$
$110$	−1.60761	+	0.153508i	−0.153280	+	0.0146364i
$111$	0.194133	+	9.11006i	0.0184263	+	0.864688i
$112$	−2.56779	−	0.637550i	−0.242633	−	0.0602428i
$113$	−6.47705	+	5.61239i	−0.609309	+	0.527970i	−0.903950	−	0.427639i	$-0.859346\pi$
$113$	−6.47705	+	5.61239i	−0.609309	+	0.527970i	0.294640	+	0.955608i	$0.404800\pi$
$114$	−0.940625	−	1.14503i	−0.0880976	−	0.107242i
$115$	3.21634	−	2.51244i	0.299925	−	0.234286i
$116$	0.564291	+	0.325794i	0.0523931	+	0.0302492i
$117$	12.8705	+	0.0641843i	1.18987	+	0.00593384i
$118$	−1.47577	+	2.29634i	−0.135855	+	0.211395i
$119$	−4.62988	+	3.96851i	−0.424420	+	0.363792i
$120$	−1.42282	−	0.385048i	−0.129885	−	0.0351499i
$121$	−5.81596	+	4.57372i	−0.528724	+	0.415793i
$122$	−5.51645	+	5.25993i	−0.499436	+	0.476211i
$123$	0.553125	+	2.57355i	0.0498736	+	0.232049i
$124$	−0.177458	−	0.126367i	−0.0159362	−	0.0113481i
$125$	7.57406	−	2.22394i	0.677444	−	0.198916i
$126$	−3.56382	−	7.09219i	−0.317490	−	0.631823i
$127$	5.58625	−	6.44688i	0.495699	−	0.572068i	−0.451680	−	0.892180i	$-0.649175\pi$
$127$	5.58625	−	6.44688i	0.495699	−	0.572068i	0.947380	+	0.320112i	$0.103721\pi$
$128$	0.690079	−	0.723734i	0.0609949	−	0.0639697i
$129$	5.11481	−	0.353002i	0.450334	−	0.0310801i
$130$	0.173723	+	3.64689i	0.0152365	+	0.319854i
$131$	−5.07839	−	20.9334i	−0.443701	−	1.82896i	−0.550704	−	0.834700i	$-0.685641\pi$
$131$	−5.07839	−	20.9334i	−0.443701	−	1.82896i	0.107004	−	0.994259i	$-0.465874\pi$
$132$	3.13324	−	0.992983i	0.272713	−	0.0864280i
$133$	2.25212	+	0.227255i	0.195284	+	0.0197055i
$134$	10.9900	+	1.58012i	0.949390	+	0.136502i
$135$	−1.90236	−	3.99188i	−0.163729	−	0.343566i
$136$	−0.436187	−	2.26315i	−0.0374027	−	0.194064i
$137$	17.4374	+	10.0675i	1.48977	+	0.860121i	0.999932	−	0.0116901i	$-0.00372117\pi$
$137$	17.4374	+	10.0675i	1.48977	+	0.860121i	0.489842	+	0.871811i	$0.337055\pi$
$138$	−5.32551	+	6.37487i	−0.453337	+	0.542665i
$139$			16.7807i			1.42332i	0.702522	+	0.711662i	$0.252057\pi$
$139$			16.7807i			1.42332i	−0.702522	+	0.711662i	$0.747943\pi$
$140$	1.95593	−	1.11530i	0.165306	−	0.0942604i
$141$	7.01301	+	3.02386i	0.590602	+	0.254655i
$142$	0.313258	−	0.125410i	0.0262880	−	0.0105241i
$143$	−4.72241	−	6.63170i	−0.394908	−	0.554571i
$144$	2.99585	+	0.157688i	0.249654	+	0.0131406i
$145$	−0.538879	+	0.130731i	−0.0447515	+	0.0108566i
$146$	−7.96069	+	5.11602i	−0.658831	+	0.423405i
$147$	11.4988	+	3.84413i	0.948406	+	0.317059i
$148$	5.04778	−	1.48216i	0.414925	−	0.121833i
$149$	1.56242	−	8.10661i	0.127999	−	0.664119i	−0.860079	−	0.510161i	$-0.829586\pi$
$149$	1.56242	−	8.10661i	0.127999	−	0.664119i	0.988077	−	0.153958i	$-0.0492021\pi$
$150$	−6.50880	+	3.53303i	−0.531441	+	0.288471i
$151$	−4.18676	+	17.2581i	−0.340714	+	1.40444i	0.501435	+	0.865195i	$0.332806\pi$
$151$	−4.18676	+	17.2581i	−0.340714	+	1.40444i	−0.842149	+	0.539245i	$0.818710\pi$
$152$	−0.496264	+	0.696906i	−0.0402524	+	0.0565265i
$153$	4.30125	−	5.41371i	0.347736	−	0.437672i
$154$	−2.32453	+	4.45016i	−0.187316	+	0.358604i
$155$	0.183509	−	0.0263846i	0.0147398	−	0.00211926i
$156$	−1.90534	−	7.18243i	−0.152550	−	0.575055i
$157$	4.86353	−	6.18448i	0.388152	−	0.493575i	−0.552232	−	0.833691i	$-0.686224\pi$
$157$	4.86353	−	6.18448i	0.388152	−	0.493575i	0.940384	+	0.340115i	$0.110466\pi$
$158$	7.66459	+	14.8672i	0.609762	+	1.18277i
$159$	−2.57362	−	0.439377i	−0.204101	−	0.0348448i
$160$			0.851014i			0.0672786i
$161$	−1.09712	−	12.6411i	−0.0864655	−	0.996255i
$162$	5.49260	+	7.12961i	0.431539	+	0.560155i
$163$	−0.684781	+	1.97855i	−0.0536362	+	0.154972i	−0.968637	−	0.248481i	$-0.920069\pi$
$163$	−0.684781	+	1.97855i	−0.0536362	+	0.154972i	0.915001	+	0.403452i	$0.132190\pi$
$164$	1.35083	−	0.696400i	0.105482	−	0.0543797i
$165$	−1.34664	+	2.45163i	−0.104836	+	0.190859i
$166$	0.122852	+	1.28656i	0.00953517	+	0.0998568i
$167$	1.60886	+	11.1899i	0.124498	+	0.865901i	0.952362	+	0.304971i	$0.0986469\pi$
$167$	1.60886	+	11.1899i	0.124498	+	0.865901i	−0.827864	+	0.560929i	$0.810444\pi$
$168$	−3.41501	+	3.05577i	−0.263474	+	0.235758i
$169$	−4.54771	+	2.92264i	−0.349824	+	0.224818i
$170$	1.59772	+	1.13773i	0.122540	+	0.0872603i
$171$	−2.55620	+	0.231229i	−0.195477	+	0.0176826i
$172$	−0.968142	−	2.79726i	−0.0738201	−	0.213289i
$173$	9.69302	+	1.86818i	0.736947	+	0.142035i	0.543894	−	0.839154i	$-0.316949\pi$
$173$	9.69302	+	1.86818i	0.736947	+	0.142035i	0.193052	+	0.981188i	$0.438161\pi$
$174$	1.01637	−	0.490595i	0.0770511	−	0.0371919i
$175$	3.24535	−	10.8371i	0.245325	−	0.819210i
$176$	−1.02594	−	1.59640i	−0.0773335	−	0.120333i
$177$	1.85030	+	4.35081i	0.139077	+	0.327027i
$178$	−1.60972	+	4.02088i	−0.120653	+	0.301377i
$179$	6.07955	−	4.32923i	0.454407	−	0.323582i	−0.329833	−	0.944039i	$-0.606992\pi$
$179$	6.07955	−	4.32923i	0.454407	−	0.323582i	0.784240	+	0.620458i	$0.213053\pi$
$180$	−1.93777	+	1.66224i	−0.144433	+	0.123896i
$181$	−2.38631	+	3.71317i	−0.177373	+	0.275998i	−0.918544	−	0.395318i	$-0.870634\pi$
$181$	−2.38631	+	3.71317i	−0.177373	+	0.275998i	0.741171	+	0.671316i	$0.234271\pi$
$182$	9.79950	+	5.72809i	0.726387	+	0.424594i
$183$	2.15683	+	13.0247i	0.159437	+	0.962812i
$184$	4.35593	+	2.00647i	0.321123	+	0.147919i
$185$	−2.23854	+	3.87727i	−0.164581	+	0.285063i
$186$	−0.353870	+	0.130982i	−0.0259470	+	0.00960409i
$187$	−4.36875	−	0.208109i	−0.319474	−	0.0152184i
$188$	0.627511	−	4.36443i	0.0457659	−	0.318309i
$189$	−13.6284	−	1.80735i	−0.991321	−	0.131465i
$190$	−0.103617	−	0.720669i	−0.00751714	−	0.0522828i
$191$	−11.2073	+	2.71885i	−0.810928	+	0.196729i	−0.619723	−	0.784821i	$-0.712755\pi$
$191$	−11.2073	+	2.71885i	−0.810928	+	0.196729i	−0.191206	+	0.981550i	$0.561240\pi$
$192$	−0.363953	−	1.69338i	−0.0262660	−	0.122209i
$193$	−10.2728	−	0.980937i	−0.739455	−	0.0706094i	−0.281471	−	0.959570i	$-0.590822\pi$
$193$	−10.2728	−	0.980937i	−0.739455	−	0.0706094i	−0.457984	+	0.888960i	$0.651428\pi$
$194$	10.8001	+	10.2979i	0.775404	+	0.739347i
$195$	5.39152	+	3.30477i	0.386095	+	0.236659i
$196$	0.408105	−	6.98809i	0.0291504	−	0.499150i
$197$	5.96989	+	20.3316i	0.425337	+	1.44857i	0.841987	+	0.539498i	$0.181386\pi$
$197$	5.96989	+	20.3316i	0.425337	+	1.44857i	−0.416650	+	0.909067i	$0.636796\pi$
$198$	1.63111	−	5.45427i	0.115918	−	0.387618i
$199$	13.7298	−	0.654032i	0.973281	−	0.0463631i	0.445087	−	0.895487i	$-0.353173\pi$
$199$	13.7298	−	0.654032i	0.973281	−	0.0463631i	0.528193	+	0.849124i	$0.322870\pi$
$200$	2.95062	+	3.09452i	0.208641	+	0.218816i
$201$	12.9713	−	14.1977i	0.914928	−	1.00143i
$202$	4.96986	+	2.26966i	0.349678	+	0.159693i
$203$	−0.572580	+	1.62607i	−0.0401872	+	0.114128i
$204$	−3.66579	−	1.58061i	−0.256657	−	0.110665i
$205$	−0.423012	+	1.22221i	−0.0295445	+	0.0853632i
$206$	1.25569	−	2.17492i	0.0874883	−	0.151534i
$207$	3.93945	+	13.8377i	0.273811	+	0.961784i
$208$	−3.71543	+	2.14510i	−0.257619	+	0.148736i
$209$	1.06318	+	1.22697i	0.0735417	+	0.0848716i
$210$	0.308778	−	3.88759i	0.0213077	−	0.268269i
$211$	2.17314	−	15.1145i	0.149605	−	1.04053i	−0.767262	−	0.641334i	$-0.778381\pi$
$211$	2.17314	−	15.1145i	0.149605	−	1.04053i	0.916867	−	0.399193i	$-0.130710\pi$
$212$	0.143285	+	1.50055i	0.00984088	+	0.103058i
$213$	0.125656	−	0.570776i	0.00860981	−	0.0391089i
$214$	0.877498	−	0.836693i	0.0599846	−	0.0571952i
$215$	2.23902	+	1.15430i	0.152700	+	0.0787224i
$216$	3.14497	−	4.13632i	0.213988	−	0.281441i
$217$	0.242250	−	0.523006i	0.0164450	−	0.0355040i
$218$	0.835171	+	0.723680i	0.0565649	+	0.0490138i
$219$	−0.430904	+	16.3845i	−0.0291178	+	1.10716i
$220$	1.56940	+	0.380733i	0.105809	+	0.0256690i
$221$	−0.939922	+	9.84331i	−0.0632260	+	0.662132i
$222$	2.79615	−	8.67251i	0.187665	−	0.582060i
$223$	−4.01292	+	13.6667i	−0.268725	+	0.915193i	0.708983	+	0.705225i	$0.249154\pi$
$223$	−4.01292	+	13.6667i	−0.268725	+	0.915193i	−0.977708	+	0.209968i	$0.932664\pi$
$224$	2.21804	+	1.44233i	0.148199	+	0.0963695i
$225$	−1.28298	+	12.7630i	−0.0855319	+	0.850867i
$226$	7.95645	−	3.18528i	0.529255	−	0.211882i
$227$	10.8957	−	5.61713i	0.723174	−	0.372822i	−0.0570087	−	0.998374i	$-0.518156\pi$
$227$	10.8957	−	5.61713i	0.723174	−	0.372822i	0.780183	+	0.625551i	$0.215126\pi$
$228$	0.514389	+	1.38970i	0.0340662	+	0.0920353i
$229$	1.44265	−	0.832915i	0.0953331	−	0.0550406i	−0.451576	−	0.892233i	$-0.649138\pi$
$229$	1.44265	−	0.832915i	0.0953331	−	0.0550406i	0.546909	+	0.837192i	$0.315805\pi$
$230$	−3.86118	+	1.32229i	−0.254599	+	0.0871893i
$231$	4.10748	+	7.66491i	0.270252	+	0.504314i
$232$	−0.426699	−	0.492437i	−0.0280142	−	0.0323301i
$233$	−25.2677	−	1.20365i	−1.65534	−	0.0788537i	−0.801034	−	0.598618i	$-0.795717\pi$
$233$	−25.2677	−	1.20365i	−1.65534	−	0.0788537i	−0.854309	+	0.519765i	$0.826020\pi$
$234$	−12.1416	−	4.27017i	−0.793722	−	0.279150i
$235$	2.17660	+	3.05660i	0.141986	+	0.199391i
$236$	2.14566	−	1.68737i	0.139671	−	0.109838i
$237$	28.7578	+	3.51118i	1.86802	+	0.228075i
$238$	5.67321	−	2.23596i	0.367739	−	0.144936i
$239$	−17.5279	+	8.00475i	−1.13379	+	0.517784i	−0.891771	−	0.452488i	$-0.850537\pi$
$239$	−17.5279	+	8.00475i	−1.13379	+	0.517784i	−0.242018	+	0.970272i	$0.577809\pi$
$240$	1.21863	+	0.829229i	0.0786621	+	0.0535265i
$241$	−15.2044	+	5.26229i	−0.979401	+	0.338974i	−0.769428	−	0.638733i	$-0.779459\pi$
$241$	−15.2044	+	5.26229i	−0.979401	+	0.338974i	−0.209973	+	0.977707i	$0.567337\pi$
$242$	6.99200	−	2.41996i	0.449463	−	0.155561i
$243$	15.5614	−	0.918136i	0.998264	−	0.0588985i
$244$	6.93340	−	3.16638i	0.443866	−	0.202707i
$245$	3.85252	+	4.54369i	0.246129	+	0.290286i
$246$	0.319023	−	2.61292i	0.0203402	−	0.166594i
$247$	2.88518	−	2.26893i	0.183579	−	0.144369i
$248$	0.126367	+	0.177458i	0.00802433	+	0.0112686i
$249$	1.96203	+	1.07771i	0.124339	+	0.0682971i
$250$	−7.88487	−	0.375603i	−0.498683	−	0.0237552i
$251$	10.9486	+	12.6353i	0.691069	+	0.797536i	0.987517	−	0.157513i	$-0.0503477\pi$
$251$	10.9486	+	12.6353i	0.691069	+	0.797536i	−0.296448	+	0.955049i	$0.595802\pi$
$252$	1.04818	+	7.86774i	0.0660294	+	0.495621i
$253$	5.64902	−	7.13533i	0.355151	−	0.448594i
$254$	−7.38758	+	4.26522i	−0.463538	+	0.267624i
$255$	3.18603	−	1.17929i	0.199517	−	0.0738498i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−8.31250	+	3.32782i	−0.518519	+	0.207584i	−0.616135	−	0.787640i	$-0.711303\pi$
$257$	−8.31250	+	3.32782i	−0.518519	+	0.207584i	0.0976160	+	0.995224i	$0.468878\pi$
$258$	−4.94896	−	1.33930i	−0.308109	−	0.0833814i
$259$	6.31156	+	12.4058i	0.392182	+	0.770856i
$260$	1.02861	−	3.50313i	0.0637919	−	0.217255i
$261$	0.287837	−	1.93345i	0.0178167	−	0.119678i
$262$	−2.04756	+	21.4431i	−0.126499	+	1.32476i
$263$	14.0827	+	3.41642i	0.868374	+	0.210665i	0.645107	−	0.764092i	$-0.276813\pi$
$263$	14.0827	+	3.41642i	0.868374	+	0.210665i	0.223267	+	0.974757i	$0.428328\pi$
$264$	−3.28568	−	0.0864117i	−0.202220	−	0.00531827i
$265$	−0.969475	−	0.840055i	−0.0595544	−	0.0516042i
$266$	−2.05393	−	0.951353i	−0.125934	−	0.0583312i
$267$	4.18927	+	6.22301i	0.256379	+	0.380842i
$268$	−9.86874	−	5.08769i	−0.602829	−	0.310780i
$269$	5.11323	−	4.87546i	0.311759	−	0.297262i	−0.518003	−	0.855379i	$-0.673324\pi$
$269$	5.11323	−	4.87546i	0.311759	−	0.297262i	0.829762	+	0.558117i	$0.188476\pi$
$270$	0.492117	+	4.39453i	0.0299493	+	0.267443i
$271$	2.07578	+	21.7386i	0.126095	+	1.32052i	0.808043	+	0.589123i	$0.200527\pi$
$271$	2.07578	+	21.7386i	0.126095	+	1.32052i	−0.681948	+	0.731400i	$0.738867\pi$
$272$	−0.328008	+	2.28134i	−0.0198884	+	0.138327i
$273$	17.7511	−	8.45115i	1.07435	−	0.511487i
$274$	−13.1856	−	15.2170i	−0.796569	−	0.919290i
$275$	7.02685	−	4.05695i	0.423735	−	0.244644i
$276$	7.11762	−	4.28246i	0.428431	−	0.257774i
$277$	12.5916	−	21.8093i	0.756558	−	1.31040i	−0.188038	−	0.982162i	$-0.560213\pi$
$277$	12.5916	−	21.8093i	0.756558	−	1.31040i	0.944596	−	0.328235i	$-0.106454\pi$
$278$	5.48844	−	15.8578i	0.329175	−	0.951088i
$279$	−0.157248	+	0.634361i	−0.00941419	+	0.0379782i
$280$	−2.21314	+	0.414241i	−0.132260	+	0.0247556i
$281$	−21.7083	−	9.91387i	−1.29501	−	0.591412i	−0.355739	−	0.934585i	$-0.615771\pi$
$281$	−21.7083	−	9.91387i	−1.29501	−	0.591412i	−0.939272	+	0.343173i	$0.888498\pi$
$282$	−5.63830	−	5.15129i	−0.335756	−	0.306755i
$283$	10.2687	+	10.7695i	0.610410	+	0.640180i	0.954307	−	0.298828i	$-0.0965956\pi$
$283$	10.2687	+	10.7695i	0.610410	+	0.640180i	−0.343897	+	0.939007i	$0.611747\pi$
$284$	−0.337046	+	0.0160555i	−0.0200000	+	0.000952719i
$285$	−1.13294	−	0.553845i	−0.0671097	−	0.0328070i
$286$	2.29367	+	7.81151i	0.135627	+	0.461905i
$287$	2.46858	+	3.17397i	0.145716	+	0.187353i
$288$	−2.77951	−	1.12886i	−0.163784	−	0.0665189i
$289$	−8.45892	−	8.06556i	−0.497584	−	0.474445i
$290$	0.551999	+	0.0527095i	0.0324145	+	0.00309521i
$291$	25.2700	−	5.43119i	1.48135	−	0.318382i
$292$	9.19614	−	2.23096i	0.538164	−	0.130557i
$293$	−3.65275	−	25.4054i	−0.213396	−	1.48420i	−0.761704	−	0.647925i	$-0.775637\pi$
$293$	−3.65275	−	25.4054i	−0.213396	−	1.48420i	0.548308	−	0.836276i	$-0.315272\pi$
$294$	−9.60909	−	7.39360i	−0.560414	−	0.431204i
$295$	−0.330595	+	2.29934i	−0.0192480	+	0.133873i
$296$	−5.25493	−	0.250323i	−0.305437	−	0.0145497i
$297$	−6.22100	−	7.65034i	−0.360979	−	0.443918i
$298$	−4.12790	+	7.14974i	−0.239123	+	0.414173i
$299$	−15.5056	−	13.5244i	−0.896714	−	0.782139i
$300$	7.30636	−	1.20990i	0.421833	−	0.0698536i
$301$	6.80327	−	3.87934i	0.392134	−	0.223601i
$302$	9.60105	−	14.9395i	0.552478	−	0.859673i
$303$	8.09272	−	4.90514i	0.464915	−	0.281793i
$304$	0.696906	−	0.496264i	0.0399703	−	0.0284627i
$305$	−2.41083	+	6.02196i	−0.138044	+	0.344816i
$306$	−5.83534	+	3.70916i	−0.333584	+	0.212038i
$307$	5.05937	+	7.87253i	0.288753	+	0.449309i	0.955079	−	0.296352i	$-0.0957701\pi$
$307$	5.05937	+	7.87253i	0.288753	+	0.449309i	−0.666325	+	0.745661i	$0.732134\pi$
$308$	3.65219	−	3.44513i	0.208103	−	0.196304i
$309$	−1.89088	−	3.91736i	−0.107568	−	0.222851i
$310$	−0.182046	−	0.0350865i	−0.0103395	−	0.00199278i
$311$	2.36629	+	6.83695i	0.134180	+	0.387688i	0.991996	−	0.126269i	$-0.0403003\pi$
$311$	2.36629	+	6.83695i	0.134180	+	0.387688i	−0.857816	+	0.513957i	$0.828179\pi$
$312$	−0.548591	+	7.41058i	−0.0310578	+	0.419541i
$313$	1.21228	+	0.863262i	0.0685222	+	0.0487945i	0.613805	−	0.789458i	$-0.289638\pi$
$313$	1.21228	+	0.863262i	0.0685222	+	0.0487945i	−0.545282	+	0.838252i	$0.683578\pi$
$314$	−6.61878	+	4.25363i	−0.373520	+	0.240046i
$315$	−5.26605	−	4.23024i	−0.296708	−	0.238347i
$316$	−2.38045	−	16.5564i	−0.133911	−	0.931370i
$317$	1.50646	+	15.7764i	0.0846112	+	0.886089i	0.933752	+	0.357922i	$0.116514\pi$
$317$	1.50646	+	15.7764i	0.0846112	+	0.886089i	−0.849140	+	0.528167i	$0.822879\pi$
$318$	2.28837	+	1.25696i	0.128325	+	0.0704868i
$319$	−1.09903	+	0.566589i	−0.0615338	+	0.0317229i
$320$	0.278339	−	0.804209i	0.0155596	−	0.0449566i
$321$	−0.343085	−	2.07183i	−0.0191491	−	0.115638i
$322$	−3.09770	+	12.3046i	−0.172628	+	0.685711i
$323$		−	1.97186i		−	0.109717i
$324$	−2.85864	−	8.53394i	−0.158813	−	0.474108i
$325$	−8.40569	−	16.3048i	−0.466264	−	0.904426i
$326$	1.29424	−	1.64576i	0.0716812	−	0.0911501i
$327$	1.85008	−	0.490787i	0.102310	−	0.0271406i
$328$	−1.50430	+	0.216286i	−0.0830612	+	0.0119424i
$329$	11.6555	−	0.492540i	0.642591	−	0.0271546i
$330$	2.07442	−	1.87635i	0.114193	−	0.103290i
$331$	−14.1405	+	19.8576i	−0.777233	+	1.09147i	0.216121	+	0.976367i	$0.430660\pi$
$331$	−14.1405	+	19.8576i	−0.777233	+	1.09147i	−0.993353	+	0.115104i	$0.963280\pi$
$332$	0.304699	−	1.25599i	0.0167225	−	0.0689312i
$333$	−9.69421	−	12.4545i	−0.531239	−	0.682503i
$334$	2.13948	−	11.1007i	0.117067	−	0.607402i
$335$	9.06607	−	2.66204i	0.495332	−	0.145443i
$336$	4.22663	−	1.77076i	0.230582	−	0.0966031i
$337$	17.6484	−	11.3419i	0.961368	−	0.617833i	0.0369914	−	0.999316i	$-0.488223\pi$
$337$	17.6484	−	11.3419i	0.961368	−	0.617833i	0.924376	+	0.381482i	$0.124586\pi$
$338$	5.25350	−	1.27448i	0.285752	−	0.0693228i
$339$	3.19154	−	14.4972i	0.173341	−	0.787377i
$340$	−1.13773	−	1.59772i	−0.0617023	−	0.0866488i
$341$	0.383795	−	0.153648i	0.0207837	−	0.00832053i
$342$	2.49123	+	0.617538i	0.134711	+	0.0333926i
$343$	18.3718	−	2.34022i	0.991984	−	0.126360i
$344$			2.96006i			0.159596i
$345$	−1.86886	+	6.81754i	−0.100616	+	0.367044i
$346$	−8.54889	−	4.93571i	−0.459591	−	0.265345i
$347$	1.94178	+	10.0749i	0.104240	+	0.540850i	0.996077	+	0.0884920i	$0.0282048\pi$
$347$	1.94178	+	10.0749i	0.104240	+	0.540850i	−0.891837	+	0.452358i	$0.850583\pi$
$348$	−1.12093	+	0.131190i	−0.0600882	+	0.00703250i
$349$	−2.67733	−	0.384943i	−0.143314	−	0.0206055i	0.0702842	−	0.997527i	$-0.477609\pi$
$349$	−2.67733	−	0.384943i	−0.143314	−	0.0206055i	−0.213599	+	0.976922i	$0.568518\pi$
$350$	−6.61134	+	9.17965i	−0.353391	+	0.490673i
$351$	−17.9456	+	13.2256i	−0.957863	+	0.705929i
$352$	0.447387	+	1.84415i	0.0238458	+	0.0982938i
$353$	0.389213	+	8.17059i	0.0207157	+	0.434876i	0.985271	+	0.170997i	$0.0546990\pi$
$353$	0.389213	+	8.17059i	0.0207157	+	0.434876i	−0.964556	+	0.263879i	$0.914998\pi$
$354$	−0.325526	−	4.71669i	−0.0173015	−	0.250689i
$355$	0.198161	−	0.207825i	0.0105173	−	0.0110302i
$356$	2.83628	−	3.27325i	0.150323	−	0.173482i
$357$	2.32615	−	10.3026i	0.123113	−	0.545271i
$358$	−7.16113	+	2.10270i	−0.378477	+	0.111131i
$359$	−30.5875	−	21.7812i	−1.61434	−	1.14957i	−0.885201	−	0.465209i	$-0.845979\pi$
$359$	−30.5875	−	21.7812i	−1.61434	−	1.14957i	−0.729144	−	0.684361i	$-0.760081\pi$
$360$	2.37486	−	0.937038i	0.125166	−	0.0493863i
$361$	13.2212	−	12.6064i	0.695853	−	0.663494i
$362$	3.46952	−	2.72846i	0.182354	−	0.143405i
$363$	3.34771	−	12.3704i	0.175709	−	0.649275i
$364$	−7.38706	−	8.61815i	−0.387187	−	0.451714i
$365$	−4.35381	+	6.77466i	−0.227889	+	0.354602i
$366$	2.22175	−	13.0138i	0.116133	−	0.680240i
$367$	−13.6744	−	7.89492i	−0.713798	−	0.412111i	0.0986677	−	0.995120i	$-0.468542\pi$
$367$	−13.6744	−	7.89492i	−0.713798	−	0.412111i	−0.812466	+	0.583009i	$0.801875\pi$
$368$	−3.46010	−	3.32080i	−0.180370	−	0.173109i
$369$	−3.43077	−	3.00286i	−0.178599	−	0.156323i
$370$	3.38356	−	2.93187i	0.175903	−	0.152421i
$371$	−3.83257	+	1.10304i	−0.198977	+	0.0572668i
$372$	0.377247	−	0.00803903i	0.0195594	−	0.000416804i
$373$	−18.0651	+	1.72501i	−0.935377	+	0.0893177i	−0.551601	−	0.834108i	$-0.685983\pi$
$373$	−18.0651	+	1.72501i	−0.935377	+	0.0893177i	−0.383776	+	0.923426i	$0.625377\pi$
$374$	4.06040	+	1.62554i	0.209958	+	0.0840547i
$375$	−8.22088	+	10.9249i	−0.424525	+	0.564161i
$376$	−2.02046	+	3.91915i	−0.104197	+	0.202115i
$377$	1.16127	+	2.54283i	0.0598084	+	0.130962i
$378$	12.2877	+	6.16536i	0.632013	+	0.317112i
$379$	−10.0564	+	11.6057i	−0.516561	+	0.596143i	−0.952766	−	0.303704i	$-0.901777\pi$
$379$	−10.0564	+	11.6057i	−0.516561	+	0.596143i	0.436206	+	0.899847i	$0.356322\pi$
$380$	−0.137790	+	0.714923i	−0.00706848	+	0.0366748i
$381$	−1.09079	+	14.7348i	−0.0558829	+	0.754888i
$382$	11.4801	+	1.09622i	0.587374	+	0.0560874i
$383$	−10.4049	−	5.36412i	−0.531667	−	0.274094i	0.171419	−	0.985198i	$-0.445165\pi$
$383$	−10.4049	−	5.36412i	−0.531667	−	0.274094i	−0.703086	+	0.711105i	$0.748195\pi$
$384$	−0.209915	+	1.71928i	−0.0107122	+	0.0877368i
$385$	−0.226205	+	4.26669i	−0.0115285	+	0.217451i
$386$	9.38701	+	4.28690i	0.477786	+	0.218198i
$387$	−6.74011	+	5.78175i	−0.342619	+	0.293903i
$388$	−6.83802	−	13.2639i	−0.347148	−	0.673373i
$389$	2.44863	+	12.7047i	0.124151	+	0.644154i	0.989680	+	0.143296i	$0.0457701\pi$
$389$	2.44863	+	12.7047i	0.124151	+	0.644154i	−0.865529	+	0.500858i	$0.833018\pi$
$390$	−4.01411	−	4.88640i	−0.203262	−	0.247433i
$391$	−10.8605	+	2.05649i	−0.549237	+	0.104001i
$392$	−2.67124	+	6.47028i	−0.134918	+	0.326798i
$393$	28.7107	+	23.8262i	1.44826	+	1.20187i
$394$	1.00826	−	21.1659i	0.0507953	−	1.06632i
$395$	11.1892	+	8.79925i	0.562988	+	0.442738i
$396$	−3.32531	+	4.62080i	−0.167103	+	0.232204i
$397$	13.3348	+	16.9565i	0.669253	+	0.851025i	0.995549	−	0.0942428i	$-0.0300430\pi$
$397$	13.3348	+	16.9565i	0.669253	+	0.851025i	−0.326296	+	0.945268i	$0.605801\pi$
$398$	−13.1886	−	3.87252i	−0.661085	−	0.194112i
$399$	−3.36366	+	2.01417i	−0.168394	+	0.100834i
$400$	−1.77622	−	3.88938i	−0.0888111	−	0.194469i
$401$	−14.6363	+	15.3501i	−0.730903	+	0.766549i	−0.979367	−	0.202092i	$-0.935226\pi$
$401$	−14.6363	+	15.3501i	−0.730903	+	0.766549i	0.248463	+	0.968641i	$0.420075\pi$
$402$	−16.9015	+	9.17430i	−0.842972	+	0.457573i
$403$	−0.305689	−	0.883231i	−0.0152275	−	0.0439969i
$404$	−3.95419	−	3.77031i	−0.196728	−	0.187580i
$405$	6.77236	+	3.57734i	0.336521	+	0.177759i
$406$	1.07293	−	1.34937i	0.0532484	−	0.0669680i
$407$	−2.81262	+	9.57891i	−0.139416	+	0.474809i
$408$	2.94721	+	2.69264i	0.145908	+	0.133306i
$409$	−12.6397	+	9.00070i	−0.624994	+	0.445056i	−0.848172	−	0.529722i	$-0.822296\pi$
$409$	−12.6397	+	9.00070i	−0.624994	+	0.445056i	0.223178	+	0.974778i	$0.428357\pi$
$410$	0.799494	−	1.01664i	0.0394842	−	0.0502083i
$411$	−34.6383	+	4.05394i	−1.70858	+	0.199966i
$412$	−1.89798	+	1.64461i	−0.0935067	+	0.0810240i
$413$	5.43257	+	4.75863i	0.267319	+	0.234157i
$414$	0.803067	−	14.3651i	0.0394686	−	0.706004i
$415$	0.549932	+	0.952511i	0.0269951	+	0.0467569i
$416$	4.21268	−	0.811927i	0.206544	−	0.0398080i
$417$	−17.3600	−	23.3112i	−0.850122	−	1.14155i
$418$	−0.603401	−	1.50722i	−0.0295133	−	0.0737207i
$419$	−11.6114	+	25.4254i	−0.567253	+	1.24211i	0.380994	+	0.924578i	$0.375582\pi$
$419$	−11.6114	+	25.4254i	−0.567253	+	1.24211i	−0.948247	+	0.317534i	$0.897145\pi$
$420$	−1.56330	+	3.57279i	−0.0762814	+	0.174334i
$421$	−11.4143	−	3.35154i	−0.556299	−	0.163344i	−0.00851459	−	0.999964i	$-0.502710\pi$
$421$	−11.4143	−	3.35154i	−0.556299	−	0.163344i	−0.547784	+	0.836620i	$0.684528\pi$
$422$	−6.99710	+	13.5725i	−0.340613	+	0.660698i
$423$	−12.8705	+	3.05446i	−0.625783	+	0.148513i
$424$	0.355378	−	1.46489i	0.0172587	−	0.0711412i
$425$	−9.67673	−	1.86504i	−0.469390	−	0.0904676i
$426$	−0.305427	+	0.498285i	−0.0147980	+	0.0241420i
$427$	11.6094	+	16.4897i	0.561817	+	0.797991i
$428$	−1.10289	+	0.503674i	−0.0533103	+	0.0243460i
$429$	13.4208	+	4.32708i	0.647963	+	0.208914i
$430$	−1.73835	−	1.82313i	−0.0838305	−	0.0879189i
$431$	9.26759	−	23.1493i	0.446404	−	1.11506i	−0.519109	−	0.854708i	$-0.673736\pi$
$431$	9.26759	−	23.1493i	0.446404	−	1.11506i	0.965513	−	0.260355i	$-0.0838397\pi$
$432$	−4.32486	+	2.88021i	−0.208080	+	0.138574i
$433$	−17.7848	−	2.55706i	−0.854682	−	0.122885i	−0.298973	−	0.954262i	$-0.596644\pi$
$433$	−17.7848	−	2.55706i	−0.854682	−	0.122885i	−0.555709	+	0.831377i	$0.687553\pi$
$434$	−0.399985	+	0.415009i	−0.0191999	+	0.0199211i
$435$	0.613347	−	0.739087i	0.0294077	−	0.0354365i
$436$	−0.552545	−	0.957036i	−0.0264621	−	0.0458337i
$437$	3.33447	+	2.39088i	0.159509	+	0.114371i
$438$	5.76606	−	15.3425i	0.275513	−	0.733091i
$439$	33.8255	+	11.7071i	1.61440	+	0.558750i	0.977269	−	0.212004i	$-0.0679988\pi$
$439$	33.8255	+	11.7071i	1.61440	+	0.558750i	0.637133	+	0.770754i	$0.280120\pi$
$440$	−1.35856	−	0.873093i	−0.0647668	−	0.0416231i
$441$	−19.9505	+	6.55561i	−0.950026	+	0.312172i
$442$	4.10766	−	8.99451i	0.195381	−	0.427825i
$443$	−14.5149	−	18.4573i	−0.689626	−	0.876931i	0.307588	−	0.951520i	$-0.400478\pi$
$443$	−14.5149	−	18.4573i	−0.689626	−	0.876931i	−0.997214	+	0.0745887i	$0.976236\pi$
$444$	−5.47886	+	7.28099i	−0.260015	+	0.345541i
$445$	0.175380	+	3.68167i	0.00831379	+	0.174528i
$446$	8.26216	−	11.6026i	0.391225	−	0.549398i
$447$	6.21598	+	12.8777i	0.294006	+	0.609097i
$448$	−1.62431	−	2.08845i	−0.0767414	−	0.0986699i
$449$	−9.59718	−	8.31601i	−0.452919	−	0.392457i	0.398310	−	0.917251i	$-0.369597\pi$
$449$	−9.59718	−	8.31601i	−0.452919	−	0.392457i	−0.851229	+	0.524794i	$0.824142\pi$
$450$	5.38679	−	11.6414i	0.253935	−	0.548782i
$451$	−0.274141	+	2.87093i	−0.0129088	+	0.135187i
$452$	−8.56065	+	0.407794i	−0.402659	+	0.0191810i
$453$	−12.0377	−	28.3055i	−0.565580	−	1.32991i
$454$	−12.1336	+	1.74456i	−0.569460	+	0.0818760i
$455$	9.61090	+	0.969809i	0.450566	+	0.0454653i
$456$	−0.0315706	−	1.48151i	−0.00147843	−	0.0693781i
$457$	−1.02196	+	21.4535i	−0.0478052	+	1.00355i	0.839785	+	0.542919i	$0.182681\pi$
$457$	−1.02196	+	21.4535i	−0.0478052	+	1.00355i	−0.887590	+	0.460634i	$0.847622\pi$
$458$	−1.63573	+	0.315260i	−0.0764325	+	0.0147311i
$459$	−0.374555	+	11.9702i	−0.0174827	+	0.558723i
$460$	4.08130	+	0.0133019i	0.190292	+	0.000620205i
$461$	−14.4719			−0.674025			−0.337013	−	0.941500i	$-0.609416\pi$
$461$	−14.4719			−0.674025			−0.337013	+	0.941500i	$0.609416\pi$
$462$	−1.37462	−	8.58677i	−0.0639532	−	0.399493i
$463$	−13.4656	−	8.65382i	−0.625800	−	0.402177i	0.188953	−	0.981986i	$-0.439491\pi$
$463$	−13.4656	−	8.65382i	−0.625800	−	0.402177i	−0.814752	+	0.579809i	$0.803127\pi$
$464$	0.242171	+	0.604913i	0.0112425	+	0.0280824i
$465$	−0.227628	+	0.226496i	−0.0105560	+	0.0105035i
$466$	23.4843	+	9.40171i	1.08789	+	0.435526i
$467$	−9.21545	−	37.9866i	−0.426440	−	1.75781i	−0.627881	−	0.778309i	$-0.716078\pi$
$467$	−9.21545	−	37.9866i	−0.426440	−	1.75781i	0.201441	−	0.979501i	$-0.435438\pi$
$468$	10.0772	+	8.00644i	0.465818	+	0.370098i
$469$	8.42727	−	28.1410i	0.389135	−	1.29943i
$470$	−1.05717	−	3.60039i	−0.0487636	−	0.166074i
$471$	−0.358268	+	13.6227i	−0.0165081	+	0.627699i
$472$	−2.57953	+	0.892785i	−0.118733	+	0.0410938i
$473$	5.45881	+	1.32429i	0.250996	+	0.0608911i
$474$	−26.0278	−	12.7238i	−1.19550	−	0.584425i
$475$	1.97773	+	3.07740i	0.0907443	+	0.141201i
$476$	−6.09250	+	0.257457i	−0.279249	+	0.0118005i
$477$	4.02972	−	2.05209i	0.184508	−	0.0939588i
$478$	19.1820	−	1.83166i	0.877365	−	0.0837782i
$479$	−12.5869	−	9.89847i	−0.575112	−	0.452273i	0.287755	−	0.957704i	$-0.407091\pi$
$479$	−12.5869	−	9.89847i	−0.575112	−	0.452273i	−0.862867	+	0.505431i	$0.831333\pi$
$480$	−0.880390	−	1.18220i	−0.0401841	−	0.0539596i
$481$	21.3290	+	7.38202i	0.972516	+	0.336591i
$482$	16.0893			0.732847
$483$	14.6015	+	16.4255i	0.664391	+	0.747385i
$484$	−7.39894			−0.336315
$485$	12.0010	+	4.15360i	0.544939	+	0.188605i
$486$	−15.0058	−	4.22199i	−0.680678	−	0.191514i
$487$	−23.9741	−	18.8534i	−1.08637	−	0.854331i	−0.0963625	−	0.995346i	$-0.530721\pi$
$487$	−23.9741	−	18.8534i	−1.08637	−	0.854331i	−0.990007	+	0.141016i	$0.954963\pi$
$488$	−7.58769	+	0.724537i	−0.343479	+	0.0327982i
$489$	−1.09557	−	3.45694i	−0.0495434	−	0.156328i
$490$	−2.15454	−	5.55382i	−0.0973322	−	0.250896i
$491$	−15.0806	−	23.4658i	−0.680577	−	1.05900i	−0.993999	−	0.109385i	$-0.965112\pi$
$491$	−15.0806	−	23.4658i	−0.680577	−	1.05900i	0.313422	−	0.949614i	$-0.398525\pi$
$492$	−1.15608	+	2.36487i	−0.0521201	+	0.106617i
$493$	1.45945	+	0.354058i	0.0657302	+	0.0159460i
$494$	−3.46859	+	1.20049i	−0.156059	+	0.0540126i
$495$	−0.665560	−	4.79884i	−0.0299147	−	0.215692i
$496$	−0.0613764	−	0.209029i	−0.00275588	−	0.00938566i
$497$	−0.205815	−	0.868704i	−0.00923206	−	0.0389667i
$498$	−1.50164	−	1.66015i	−0.0672900	−	0.0743933i
$499$	−2.38842	−	9.84519i	−0.106920	−	0.440731i	0.893037	−	0.449983i	$-0.148570\pi$
$499$	−2.38842	−	9.84519i	−0.106920	−	0.440731i	−0.999957	+	0.00925212i	$0.997055\pi$
$500$	7.32836	+	2.93383i	0.327734	+	0.131205i
$501$	−13.8111	−	13.8802i	−0.617036	−	0.620121i
$502$	−6.21381	−	15.5213i	−0.277336	−	0.692751i
$503$	−34.8605	−	22.4035i	−1.55435	−	0.998921i	−0.984134	−	0.177428i	$-0.943222\pi$
$503$	−34.8605	−	22.4035i	−1.55435	−	0.998921i	−0.570218	−	0.821493i	$-0.693141\pi$
$504$	1.58275	−	7.77785i	0.0705013	−	0.346453i
$505$	4.64960			0.206904
$506$	−7.67207	+	4.89528i	−0.341065	+	0.217622i
$507$	3.29399	−	8.76471i	0.146291	−	0.389255i
$508$	8.37628	−	1.61440i	0.371637	−	0.0716272i
$509$	1.66400	−	34.9316i	0.0737553	−	1.54831i	−0.594325	−	0.804225i	$-0.702581\pi$
$509$	1.66400	−	34.9316i	0.0737553	−	1.54831i	0.668080	−	0.744089i	$-0.267116\pi$
$510$	−3.39651	+	0.0723786i	−0.150400	+	0.00320498i
$511$	10.2781	+	22.8294i	0.454678	+	1.00992i
$512$	0.989821	−	0.142315i	0.0437443	−	0.00628949i
$513$	3.31176	−	2.96565i	0.146218	−	0.130937i
$514$	8.94374	−	0.426043i	0.394491	−	0.0187919i
$515$	0.203156	−	2.12755i	0.00895213	−	0.0937509i
$516$	4.23872	+	2.88429i	0.186599	+	0.126974i
$517$	6.32359	+	5.47943i	0.278111	+	0.240985i
$518$	−1.90691	−	13.7878i	−0.0837848	−	0.605799i
$519$	−15.3978	+	7.43241i	−0.675890	+	0.326247i
$520$	−2.11780	+	2.97404i	−0.0928718	+	0.130420i
$521$	0.837180	+	17.5746i	0.0366775	+	0.769956i	0.940037	+	0.341072i	$0.110790\pi$
$521$	0.837180	+	17.5746i	0.0366775	+	0.769956i	−0.903360	+	0.428884i	$0.858907\pi$
$522$	−0.904377	+	1.73297i	−0.0395835	+	0.0758502i
$523$	8.15191	+	10.3660i	0.356458	+	0.453273i	0.930901	−	0.365271i	$-0.119024\pi$
$523$	8.15191	+	10.3660i	0.356458	+	0.453273i	−0.574443	+	0.818545i	$0.694781\pi$
$524$	8.94828	−	19.5940i	0.390908	−	0.855968i
$525$	6.70291	+	18.4119i	0.292539	+	0.803562i
$526$	−12.1907	−	7.83450i	−0.531541	−	0.341601i
$527$	−0.474493	−	0.164224i	−0.0206692	−	0.00715370i
$528$	3.07671	+	1.15630i	0.133897	+	0.0503215i
$529$	9.69072	−	20.8588i	0.421336	−	0.906905i
$530$	0.641400	+	1.11094i	0.0278606	+	0.0482560i
$531$	−7.07136	−	4.12981i	−0.306871	−	0.179218i
$532$	1.62981	+	1.57080i	0.0706611	+	0.0681030i
$533$	6.45377	+	0.927912i	0.279544	+	0.0401923i
$534$	−1.92352	−	7.25093i	−0.0832387	−	0.313778i
$535$	0.383489	−	0.957909i	0.0165797	−	0.0414140i
$536$	7.66195	+	8.03562i	0.330946	+	0.347086i
$537$	−3.96681	+	12.3034i	−0.171181	+	0.530931i
$538$	−6.42661	+	2.93494i	−0.277071	+	0.126534i
$539$	10.7371	+	7.82090i	0.462480	+	0.336870i
$540$	0.972259	−	4.31379i	0.0418394	−	0.185636i
$541$	39.9906	+	7.70755i	1.71933	+	0.331374i	0.951119	−	0.308824i	$-0.0999353\pi$
$541$	39.9906	+	7.70755i	1.71933	+	0.331374i	0.768210	+	0.640197i	$0.221147\pi$
$542$	5.14837	−	21.2219i	0.221142	−	0.911558i
$543$	−0.526374	−	7.62688i	−0.0225889	−	0.327301i
$544$	1.05612	−	2.04859i	0.0452808	−	0.0878326i
$545$	0.902352	+	0.264954i	0.0386525	+	0.0113494i
$546$	−19.5389	+	2.18053i	−0.836188	+	0.0933179i
$547$	−14.7822	+	32.3686i	−0.632043	+	1.38398i	0.274384	+	0.961620i	$0.411526\pi$
$547$	−14.7822	+	32.3686i	−0.632043	+	1.38398i	−0.906427	+	0.422362i	$0.861201\pi$
$548$	7.48339	+	18.6926i	0.319675	+	0.798509i
$549$	−16.4705	−	15.8621i	−0.702942	−	0.676978i
$550$	−7.96728	+	1.53557i	−0.339726	+	0.0654768i
$551$	−0.278731	−	0.482776i	−0.0118743	−	0.0205670i
$552$	−8.12681	+	1.71898i	−0.345900	+	0.0731645i
$553$	41.8977	−	14.2496i	1.78167	−	0.605954i
$554$	−19.0322	+	16.4915i	−0.808602	+	0.700658i
$555$	−0.901411	−	7.70198i	−0.0382628	−	0.326931i
$556$	−10.3732	+	13.1906i	−0.439920	+	0.559404i
$557$	−19.4388	+	13.8423i	−0.823647	+	0.586516i	−0.912289	−	0.409547i	$-0.865687\pi$
$557$	−19.4388	+	13.8423i	−0.823647	+	0.586516i	0.0886419	+	0.996064i	$0.471747\pi$
$558$	0.356079	−	0.548041i	0.0150740	−	0.0232004i
$559$	3.57780	−	12.1849i	0.151325	−	0.515365i
$560$	2.22690	+	0.332388i	0.0941038	+	0.0140460i
$561$	6.28419	−	4.23045i	0.265319	−	0.178610i
$562$	17.2719	+	16.4687i	0.728571	+	0.694691i
$563$	−4.05737	−	11.7230i	−0.170998	−	0.494066i	0.826642	−	0.562728i	$-0.190248\pi$
$563$	−4.05737	−	11.7230i	−0.170998	−	0.494066i	−0.997640	+	0.0686621i	$0.978127\pi$
$564$	3.64337	+	6.71208i	0.153414	+	0.282629i
$565$	5.03309	−	5.27855i	0.211744	−	0.222070i
$566$	−6.18156	−	13.5357i	−0.259830	−	0.568949i
$567$	20.8018	−	11.5881i	0.873594	−	0.486656i
$568$	0.323760	+	0.0950646i	0.0135847	+	0.00398882i
$569$	−19.1790	−	24.3881i	−0.804026	−	1.02240i	−0.999134	−	0.0416200i	$-0.986748\pi$
$569$	−19.1790	−	24.3881i	−0.804026	−	1.02240i	0.195108	−	0.980782i	$-0.437494\pi$
$570$	0.889486	+	0.893933i	0.0372565	+	0.0374427i
$571$	7.77858	+	6.11714i	0.325523	+	0.255994i	0.767524	−	0.641020i	$-0.221489\pi$
$571$	7.77858	+	6.11714i	0.325523	+	0.255994i	−0.442000	+	0.897015i	$0.645731\pi$
$572$	0.387378	−	8.13207i	0.0161971	−	0.340019i
$573$	12.7560	−	15.3710i	0.532889	−	0.642134i
$574$	−1.29471	−	3.80679i	−0.0540401	−	0.158893i
$575$	14.8869	−	14.1022i	0.620825	−	0.588104i
$576$	2.25742	+	1.97586i	0.0940593	+	0.0823277i
$577$	6.12516	+	31.7803i	0.254994	+	1.32303i	0.853155	+	0.521657i	$0.174686\pi$
$577$	6.12516	+	31.7803i	0.254994	+	1.32303i	−0.598162	+	0.801375i	$0.704102\pi$
$578$	5.35570	+	10.3886i	0.222768	+	0.432109i
$579$	15.2854	−	9.26476i	0.635241	−	0.385030i
$580$	−0.504400	−	0.230352i	−0.0209441	−	0.00956484i
$581$	3.41462	+	0.181031i	0.141662	+	0.00751043i
$582$	−25.6565	−	3.13252i	−1.06350	−	0.129847i
$583$	−2.54249	−	1.31074i	−0.105299	−	0.0542854i
$584$	−9.42004	−	0.899505i	−0.389804	−	0.0372218i
$585$	−10.9085	+	0.986769i	−0.451013	+	0.0407979i
$586$	−4.85745	+	25.2029i	−0.200659	+	1.04112i
$587$	−26.6533	+	30.7595i	−1.10010	+	1.26958i	−0.139929	+	0.990162i	$0.544687\pi$
$587$	−26.6533	+	30.7595i	−1.10010	+	1.26958i	−0.960169	+	0.279419i	$0.909858\pi$
$588$	6.66239	+	10.1298i	0.274752	+	0.417745i
$589$	0.0774263	+	0.169540i	0.00319030	+	0.00698578i
$590$	1.06445	−	2.06475i	0.0438228	−	0.0850043i
$591$	−29.3266	−	22.0679i	−1.20633	−	0.907752i
$592$	4.88404	+	1.95527i	0.200733	+	0.0803613i
$593$	−17.8996	+	1.70920i	−0.735046	+	0.0701884i	−0.455864	−	0.890050i	$-0.650670\pi$
$593$	−17.8996	+	1.70920i	−0.735046	+	0.0701884i	−0.279183	+	0.960238i	$0.590064\pi$
$594$	3.37667	+	9.26427i	0.138547	+	0.380118i
$595$	3.60122	−	3.73649i	0.147636	−	0.153181i
$596$	6.23932	−	5.40640i	0.255573	−	0.221455i
$597$	−18.3963	+	15.1123i	−0.752912	+	0.618506i
$598$	10.2294	+	17.8520i	0.418312	+	0.730023i
$599$	−1.40881	−	0.813375i	−0.0575623	−	0.0332336i	0.470943	−	0.882164i	$-0.343914\pi$
$599$	−1.40881	−	0.813375i	−0.0575623	−	0.0332336i	−0.528505	+	0.848930i	$0.677247\pi$
$600$	−7.30024	−	1.24632i	−0.298031	−	0.0508808i
$601$	−5.70225	+	8.87288i	−0.232600	+	0.361932i	−0.937859	−	0.347018i	$-0.887194\pi$
$601$	−5.70225	+	8.87288i	−0.232600	+	0.361932i	0.705259	+	0.708950i	$0.250831\pi$
$602$	−7.69791	+	1.44084i	−0.313743	+	0.0587244i
$603$	−3.33154	+	33.1420i	−0.135671	+	1.34965i
$604$	−13.9592	+	10.9777i	−0.567993	+	0.446675i
$605$	4.55706	−	4.34515i	0.185271	−	0.176656i
$606$	−9.25195	+	1.98849i	−0.375835	+	0.0807769i
$607$	16.0986	+	11.4637i	0.653421	+	0.465299i	0.858068	−	0.513537i	$-0.171665\pi$
$607$	16.0986	+	11.4637i	0.653421	+	0.465299i	−0.204646	+	0.978836i	$0.565604\pi$
$608$	−0.820889	+	0.241035i	−0.0332914	+	0.00977525i
$609$	−0.886797	−	2.85122i	−0.0359348	−	0.115537i
$610$	4.24782	−	4.90225i	0.171989	−	0.198486i
$611$	13.0541	−	13.6908i	0.528114	−	0.553870i
$612$	6.72755	−	1.59660i	0.271945	−	0.0645389i
$613$	−0.949274	−	19.9277i	−0.0383408	−	0.804872i	−0.933381	−	0.358887i	$-0.883156\pi$
$613$	−0.949274	−	19.9277i	−0.0383408	−	0.804872i	0.895040	−	0.445985i	$-0.147147\pi$
$614$	−2.20626	−	9.09431i	−0.0890372	−	0.367016i
$615$	−0.676771	−	2.13547i	−0.0272900	−	0.0861104i
$616$	−4.57812	+	2.06113i	−0.184458	+	0.0830454i
$617$	24.6158	+	3.53922i	0.990995	+	0.142484i	0.618697	−	0.785630i	$-0.287661\pi$
$617$	24.6158	+	3.53922i	0.990995	+	0.142484i	0.372298	+	0.928113i	$0.378570\pi$
$618$	0.505639	+	4.32036i	0.0203398	+	0.173790i
$619$	0.332927	+	1.72739i	0.0133815	+	0.0694296i	0.988006	−	0.154418i	$-0.0493503\pi$
$619$	0.332927	+	1.72739i	0.0133815	+	0.0694296i	−0.974624	+	0.223848i	$0.928138\pi$
$620$	0.160558	+	0.0926981i	0.00644816	+	0.00372284i
$621$	−19.7879	−	15.1473i	−0.794059	−	0.607840i
$622$		−	7.23486i		−	0.290091i
$623$	9.89296	+	5.78272i	0.396353	+	0.231680i
$624$	2.94218	−	6.82358i	0.117782	−	0.273162i
$625$	13.6109	−	5.44899i	0.544437	−	0.217960i
$626$	−0.863262	−	1.21228i	−0.0345029	−	0.0484525i
$627$	−2.74626	−	0.604587i	−0.109675	−	0.0241449i
$628$	7.64598	−	1.85490i	0.305108	−	0.0740184i
$629$	10.2005	−	6.55544i	0.406719	−	0.261382i
$630$	3.59284	+	5.71993i	0.143142	+	0.227888i
$631$	−0.408759	+	0.120023i	−0.0162724	+	0.00477802i	−0.289859	−	0.957069i	$-0.593608\pi$
$631$	−0.408759	+	0.120023i	−0.0162724	+	0.00477802i	0.273586	+	0.961847i	$0.411790\pi$
$632$	−3.16554	+	16.4244i	−0.125918	+	0.653327i
$633$	12.6174	+	23.2447i	0.501497	+	0.923893i
$634$	3.73634	−	15.4014i	0.148389	−	0.611667i
$635$	−4.21094	+	5.91343i	−0.167106	+	0.234667i
$636$	−1.75140	−	1.93628i	−0.0694474	−	0.0767784i
$637$	18.8165	−	23.4057i	0.745538	−	0.927367i
$638$	1.22390	−	0.175970i	0.0484545	−	0.00696671i
$639$	0.415921	+	0.922893i	0.0164536	+	0.0365091i
$640$	−0.526062	+	0.668942i	−0.0207944	+	0.0264423i
$641$	16.4920	+	31.9900i	0.651394	+	1.26353i	0.950919	+	0.309440i	$0.100142\pi$
$641$	16.4920	+	31.9900i	0.651394	+	1.26353i	−0.299525	+	0.954089i	$0.596828\pi$
$642$	−0.353413	+	2.07009i	−0.0139481	+	0.0817000i
$643$		−	4.04916i		−	0.159683i	−0.996808	−	0.0798415i	$-0.974559\pi$
$643$		−	4.04916i		−	0.159683i	0.996808	−	0.0798415i	$-0.0254414\pi$
$644$	6.95179	−	10.6147i	0.273939	−	0.418279i
$645$	−4.30451	+	0.712807i	−0.169490	+	0.0280667i
$646$	−0.644932	+	1.86341i	−0.0253745	+	0.0733149i
$647$	41.2923	−	21.2877i	1.62337	−	0.836905i	0.624952	−	0.780663i	$-0.285119\pi$
$647$	41.2923	−	21.2877i	1.62337	−	0.836905i	0.998417	−	0.0562415i	$-0.0179117\pi$
$648$	−0.0897628	+	8.99955i	−0.00352622	+	0.353536i
$649$	0.492384	+	5.15648i	0.0193278	+	0.202409i
$650$	2.61062	+	18.1572i	0.102397	+	0.712186i
$651$	0.204536	+	0.977152i	0.00801638	+	0.0382976i
$652$	−1.76133	+	1.13194i	−0.0689790	+	0.0443301i
$653$	−12.2359	−	8.71317i	−0.478829	−	0.340973i	0.315022	−	0.949084i	$-0.397988\pi$
$653$	−12.2359	−	8.71317i	−0.478829	−	0.340973i	−0.793852	+	0.608111i	$0.791927\pi$
$654$	−1.90885	−	0.141308i	−0.0746419	−	0.00552559i
$655$	5.99559	+	17.3231i	0.234267	+	0.676871i
$656$	1.49231	+	0.287619i	0.0582648	+	0.0112296i
$657$	−16.3515	−	23.2065i	−0.637933	−	0.905374i
$658$	−11.1756	−	3.34670i	−0.435670	−	0.130468i
$659$	18.3332	+	28.5270i	0.714160	+	1.11125i	0.988733	+	0.149689i	$0.0478271\pi$
$659$	18.3332	+	28.5270i	0.714160	+	1.11125i	−0.274573	+	0.961566i	$0.588537\pi$
$660$	−2.57403	+	1.09468i	−0.100194	+	0.0426102i
$661$	10.8964	−	27.2178i	0.423819	−	1.05865i	−0.550771	−	0.834656i	$-0.685666\pi$
$661$	10.8964	−	27.2178i	0.423819	−	1.05865i	0.974591	−	0.223993i	$-0.0719094\pi$
$662$	19.8576	−	14.1405i	0.771786	−	0.549587i
$663$	−8.87738	−	14.6463i	−0.344769	−	0.568816i
$664$	−0.698733	+	1.08725i	−0.0271161	+	0.0421935i
$665$	−1.92629	−	0.0103385i	−0.0746984	−	0.000400908i
$666$	5.08756	+	14.9402i	0.197139	+	0.578920i
$667$	−2.36830	+	2.03867i	−0.0917010	+	0.0789375i
$668$	−5.65248	+	9.79039i	−0.218701	+	0.378802i
$669$	−8.56391	−	23.1368i	−0.331100	−	0.894519i
$670$	−9.43811	−	0.449592i	−0.364626	−	0.0173693i
$671$	−2.05848	+	14.3170i	−0.0794667	+	0.552703i
$672$	−4.57333	+	0.290978i	−0.176420	+	0.0112247i
$673$	4.25129	+	29.5684i	0.163875	+	1.13978i	0.891242	+	0.453528i	$0.149835\pi$
$673$	4.25129	+	29.5684i	0.163875	+	1.13978i	−0.727367	+	0.686249i	$0.759256\pi$
$674$	−20.3873	+	4.94590i	−0.785289	+	0.190509i
$675$	−11.4213	−	19.0571i	−0.439606	−	0.733510i
$676$	−5.38140	−	0.513861i	−0.206977	−	0.0197639i
$677$	28.2255	+	26.9129i	1.08479	+	1.03435i	0.999277	+	0.0380107i	$0.0121021\pi$
$677$	28.2255	+	26.9129i	1.08479	+	1.03435i	0.0855152	+	0.996337i	$0.472746\pi$
$678$	−7.75756	+	12.6560i	−0.297927	+	0.486050i
$679$	31.1655	−	24.2392i	1.19602	−	0.930217i
$680$	0.552596	+	1.88197i	0.0211911	+	0.0721702i
$681$	−9.32489	+	19.0749i	−0.357330	+	0.730953i
$682$	−0.412940	+	0.0196708i	−0.0158123	+	0.000753232i
$683$	−9.76006	−	10.2361i	−0.373458	−	0.391672i	0.510006	−	0.860171i	$-0.329643\pi$
$683$	−9.76006	−	10.2361i	−0.373458	−	0.391672i	−0.883464	+	0.468499i	$0.844795\pi$
$684$	−2.15224	−	1.39838i	−0.0822930	−	0.0534683i
$685$	−15.5866	−	7.11818i	−0.595535	−	0.271972i
$686$	−18.1268	−	3.79732i	−0.692084	−	0.144982i
$687$	−1.14241	+	2.64950i	−0.0435856	+	0.101085i
$688$	0.968142	−	2.79726i	0.0369101	−	0.106645i
$689$	−3.23348	+	5.60055i	−0.123186	+	0.213364i
$690$	3.99587	−	5.83134i	0.152120	−	0.221995i
$691$	24.3755	−	14.0732i	0.927288	−	0.535370i	0.0413353	−	0.999145i	$-0.486839\pi$
$691$	24.3755	−	14.0732i	0.927288	−	0.535370i	0.885953	+	0.463775i	$0.153505\pi$
$692$	6.46440	+	7.46031i	0.245740	+	0.283599i
$693$	−13.6354	−	6.39854i	−0.517968	−	0.243061i
$694$	1.46020	−	10.1559i	0.0554283	−	0.385512i
$695$	−1.35746	−	14.2160i	−0.0514914	−	0.539243i
$696$	1.10219	+	0.242646i	0.0417784	+	0.00919749i
$697$	2.53508	−	2.41719i	0.0960229	−	0.0915576i
$698$	2.40418	+	1.23944i	0.0909996	+	0.0469135i
$699$	36.3462	−	24.4679i	1.37474	−	0.925460i
$700$	9.25009	−	6.51242i	0.349620	−	0.246146i
$701$	−4.63066	−	4.01249i	−0.174898	−	0.151550i	0.563013	−	0.826448i	$-0.309642\pi$
$701$	−4.63066	−	4.01249i	−0.174898	−	0.151550i	−0.737911	+	0.674898i	$0.764187\pi$
$702$	21.2842	−	6.62876i	0.803321	−	0.250186i
$703$	−4.37405	−	1.06113i	−0.164970	−	0.0400214i
$704$	0.180383	−	1.88905i	0.00679843	−	0.0711964i
$705$	−6.18576	−	1.99439i	−0.232969	−	0.0751130i
$706$	2.30453	−	7.84851i	0.0867322	−	0.295383i
$707$	7.88028	−	12.1185i	0.296369	−	0.455762i
$708$	−1.23506	+	4.56375i	−0.0464163	+	0.171516i
$709$	−10.6164	+	4.25018i	−0.398709	+	0.159619i	−0.562347	−	0.826902i	$-0.690101\pi$
$709$	−10.6164	+	4.25018i	−0.398709	+	0.159619i	0.163638	+	0.986520i	$0.447677\pi$
$710$	−0.255235	+	0.131583i	−0.00957879	+	0.00493821i
$711$	−43.5817	+	24.8729i	−1.63444	+	0.932808i
$712$	−3.75086	+	2.16556i	−0.140570	+	0.0811579i
$713$	0.853029	−	0.603259i	0.0319462	−	0.0225922i
$714$	−5.56787	+	8.97515i	−0.208372	+	0.335886i
$715$	4.53711	+	5.23610i	0.169678	+	0.195819i
$716$	7.45500	+	0.355125i	0.278606	+	0.0132717i
$717$	16.0681	−	29.2529i	0.600074	−	1.09247i
$718$	21.7812	+	30.5875i	0.812868	+	1.14151i
$719$	2.63215	−	2.06995i	0.0981627	−	0.0771960i	−0.567871	−	0.823117i	$-0.692233\pi$
$719$	2.63215	−	2.06995i	0.0981627	−	0.0771960i	0.666034	+	0.745921i	$0.267991\pi$
$720$	−2.55072	+	0.108760i	−0.0950599	+	0.00405324i
$721$	−5.20081	−	4.13533i	−0.193688	−	0.154008i
$722$	−16.6172	+	7.58882i	−0.618428	+	0.282427i
$723$	15.6774	−	23.0394i	0.583050	−	0.856844i
$724$	−4.17110	+	1.44363i	−0.155018	+	0.0536521i
$725$	−2.63281	+	0.911225i	−0.0977801	+	0.0338420i
$726$	−7.20954	+	10.5951i	−0.267571	+	0.393220i
$727$	−28.2204	+	12.8878i	−1.04664	+	0.477984i	−0.863102	−	0.505029i	$-0.831482\pi$
$727$	−28.2204	+	12.8878i	−1.04664	+	0.477984i	−0.183536	+	0.983013i	$0.558754\pi$
$728$	4.16206	+	10.5602i	0.154256	+	0.391388i
$729$	−20.6675	+	17.3740i	−0.765462	+	0.643481i
$730$	6.33012	−	4.97806i	0.234288	−	0.184246i
$731$	−3.95736	−	5.55733i	−0.146368	−	0.205545i
$732$	−6.35594	+	11.5714i	−0.234922	+	0.427689i
$733$	−48.6654	−	2.31822i	−1.79750	−	0.0856253i	−0.877985	−	0.478688i	$-0.841113\pi$
$733$	−48.6654	−	2.31822i	−1.79750	−	0.0856253i	−0.919512	+	0.393063i	$0.871416\pi$
$734$	10.3401	+	11.9332i	0.381662	+	0.440461i
$735$	−10.0523	−	2.32641i	−0.370785	−	0.0858111i
$736$	2.18367	+	4.26984i	0.0804912	+	0.157389i
$737$	18.2468	−	10.5348i	0.672129	−	0.388054i
$738$	2.25994	+	3.95980i	0.0831895	+	0.145762i
$739$	−7.71448	+	3.97709i	−0.283782	+	0.146300i	−0.594241	−	0.804287i	$-0.702547\pi$
$739$	−7.71448	+	3.97709i	−0.283782	+	0.146300i	0.310459	+	0.950587i	$0.399517\pi$
$740$	−4.15639	+	1.66397i	−0.152792	+	0.0611686i
$741$	−1.66073	+	6.13668i	−0.0610084	+	0.225437i
$742$	3.98255	+	0.211141i	0.146204	+	0.00775122i
$743$	−1.89549	+	6.45545i	−0.0695389	+	0.236828i	−0.986927	−	0.161165i	$-0.948475\pi$
$743$	−1.89549	+	6.45545i	−0.0695389	+	0.236828i	0.917389	+	0.397993i	$0.130293\pi$
$744$	−0.359128	−	0.115789i	−0.0131663	−	0.00424502i
$745$	−0.667845	+	6.99399i	−0.0244680	+	0.256240i
$746$	17.6358	+	4.27839i	0.645691	+	0.156643i
$747$	−3.84049	+	0.532645i	−0.140516	+	0.0194885i
$748$	−3.30542	−	2.86416i	−0.120858	−	0.104724i
$749$	−1.84669	−	2.62300i	−0.0674768	−	0.0958423i
$750$	11.3419	−	7.63528i	0.414149	−	0.278801i
$751$	12.2230	+	6.30140i	0.446024	+	0.229941i	0.666581	−	0.745433i	$-0.267757\pi$
$751$	12.2230	+	6.30140i	0.446024	+	0.229941i	−0.220557	+	0.975374i	$0.570787\pi$
$752$	3.19117	−	3.04277i	0.116370	−	0.110959i
$753$	−28.2809	−	6.22602i	−1.03061	−	0.226889i
$754$	−0.265724	−	2.78279i	−0.00967709	−	0.101343i
$755$	2.15078	−	14.9590i	0.0782750	−	0.544415i
$756$	−9.59542	−	9.84520i	−0.348982	−	0.358066i
$757$	5.89537	+	6.80362i	0.214271	+	0.247282i	0.852703	−	0.522397i	$-0.174962\pi$
$757$	5.89537	+	6.80362i	0.214271	+	0.247282i	−0.638432	+	0.769678i	$0.720417\pi$
$758$	13.2991	−	7.67824i	0.483045	−	0.278886i
$759$	−0.465771	+	15.7561i	−0.0169064	+	0.571912i
$760$	0.364040	−	0.630536i	0.0132051	−	0.0228719i
$761$	−13.6455	+	39.4260i	−0.494648	+	1.42919i	0.371045	+	0.928615i	$0.379000\pi$
$761$	−13.6455	+	39.4260i	−0.494648	+	1.42919i	−0.865693	+	0.500576i	$0.833122\pi$
$762$	5.85009	−	13.5677i	0.211926	−	0.491505i
$763$	2.21990	−	1.90279i	0.0803657	−	0.0688856i
$764$	−10.4902	−	4.79070i	−0.379521	−	0.173322i
$765$	−3.20592	+	4.93423i	−0.115910	+	0.178397i
$766$	8.07824	+	8.47221i	0.291879	+	0.306114i
$767$	11.6976	−	0.557223i	0.422374	−	0.0201202i
$768$	0.760692	−	1.55607i	0.0274491	−	0.0561498i
$769$	−2.55696	−	8.70820i	−0.0922062	−	0.314026i	0.900456	−	0.434948i	$-0.143233\pi$
$769$	−2.55696	−	8.70820i	−0.0922062	−	0.314026i	−0.992662	+	0.120922i	$0.961415\pi$
$770$	1.60926	−	3.95804i	0.0579938	−	0.142638i
$771$	8.10471	−	13.2223i	0.291884	−	0.476190i
$772$	−7.46862	−	7.12132i	−0.268802	−	0.256302i
$773$	−20.5236	−	1.95976i	−0.738182	−	0.0704878i	−0.280810	−	0.959763i	$-0.590603\pi$
$773$	−20.5236	−	1.95976i	−0.738182	−	0.0704878i	−0.457372	+	0.889276i	$0.651209\pi$
$774$	8.26044	−	3.25928i	0.296915	−	0.117152i
$775$	0.905234	−	0.219607i	0.0325170	−	0.00788853i
$776$	2.12374	+	14.7709i	0.0762376	+	0.530244i
$777$	−21.6018	−	10.7042i	−0.774959	−	0.384010i
$778$	1.84134	−	12.8068i	0.0660154	−	0.459147i
$779$	−1.29876	−	0.0618675i	−0.0465329	−	0.00221663i
$780$	2.19515	+	5.93054i	0.0785989	+	0.212347i
$781$	0.320160	−	0.554533i	0.0114562	−	0.0198428i
$782$	10.9358	+	1.60872i	0.391062	+	0.0575277i
$783$	1.60034	+	2.98365i	0.0571916	+	0.106627i
$784$	4.64055	−	5.24074i	0.165734	−	0.187169i
$785$	−3.61990	+	5.63268i	−0.129200	+	0.201039i
$786$	−19.3388	−	31.9061i	−0.689794	−	1.13805i
$787$	28.8003	−	20.5086i	1.02662	−	0.731053i	0.0629143	−	0.998019i	$-0.479961\pi$
$787$	28.8003	−	20.5086i	1.02662	−	0.731053i	0.963706	+	0.266966i	$0.0860211\pi$
$788$	−7.87550	+	19.6720i	−0.280553	+	0.700788i
$789$	−23.0974	+	9.82282i	−0.822291	+	0.349702i
$790$	−7.69581	−	11.9749i	−0.273805	−	0.426048i
$791$	−5.22750	−	22.0642i	−0.185869	−	0.784514i
$792$	4.65374	−	3.27906i	0.165363	−	0.116516i
$793$	32.1099	+	6.18868i	1.14026	+	0.219766i
$794$	−7.05543	−	20.3853i	−0.250388	−	0.723448i
$795$	2.21581	+	0.164032i	0.0785867	+	0.00581762i
$796$	11.1967	+	7.97310i	0.396855	+	0.282599i
$797$	−14.4260	+	9.27102i	−0.510995	+	0.328397i	−0.770601	−	0.637318i	$-0.780044\pi$
$797$	−14.4260	+	9.27102i	−0.510995	+	0.328397i	0.259606	+	0.965715i	$0.416407\pi$
$798$	3.83743	−	0.803244i	0.135844	−	0.0284345i
$799$	−1.44629	−	10.0592i	−0.0511660	−	0.355867i
$800$	0.406438	+	4.25641i	0.0143698	+	0.150487i
$801$	−12.2574	−	4.31090i	−0.433094	−	0.152318i
$802$	18.8519	−	9.71882i	0.665683	−	0.343183i
$803$	−5.87323	+	16.9696i	−0.207262	+	0.598843i
$804$	18.9726	−	3.14177i	0.669112	−	0.110802i
$805$	1.95203	+	10.6203i	0.0687999	+	0.374315i
$806$			0.934636i			0.0329211i
$807$	−2.05936	+	12.0625i	−0.0724928	+	0.424621i
$808$	2.50356	+	4.85624i	0.0880751	+	0.170842i
$809$	9.21451	−	11.7172i	0.323965	−	0.411955i	−0.596603	−	0.802536i	$-0.703483\pi$
$809$	9.21451	−	11.7172i	0.323965	−	0.411955i	0.920569	+	0.390581i	$0.127726\pi$
$810$	−5.22985	−	5.59561i	−0.183758	−	0.196610i
$811$	18.9150	−	2.71956i	0.664195	−	0.0954968i	0.198032	−	0.980196i	$-0.436545\pi$
$811$	18.9150	−	2.71956i	0.664195	−	0.0954968i	0.466163	+	0.884699i	$0.345636\pi$
$812$	−1.45525	+	0.924234i	−0.0510693	+	0.0324343i
$813$	−25.3725	−	28.0509i	−0.889854	−	0.983790i
$814$	5.79088	−	8.13216i	0.202970	−	0.285032i
$815$	0.420067	−	1.73154i	0.0147143	−	0.0606532i
$816$	−1.90444	−	3.50848i	−0.0666686	−	0.122822i
$817$	−0.479272	+	2.48670i	−0.0167676	+	0.0869986i
$818$	14.8884	−	4.37163i	0.520560	−	0.152850i
$819$	−15.9163	+	30.1039i	−0.556160	+	1.05191i
$820$	−1.08803	+	0.699236i	−0.0379958	+	0.0244184i
$821$	38.7788	−	9.40764i	1.35339	−	0.328329i	0.507484	−	0.861661i	$-0.330576\pi$
$821$	38.7788	−	9.40764i	1.35339	−	0.328329i	0.845906	+	0.533332i	$0.179060\pi$
$822$	34.0591	+	7.49810i	1.18795	+	0.261526i
$823$	9.23021	+	12.9620i	0.321745	+	0.451828i	0.943494	−	0.331389i	$-0.107517\pi$
$823$	9.23021	+	12.9620i	0.321745	+	0.451828i	−0.621749	+	0.783216i	$0.713578\pi$
$824$	2.33149	−	0.933388i	0.0812213	−	0.0325161i
$825$	−5.56444	+	12.9052i	−0.193729	+	0.449300i
$826$	−3.57738	−	6.27373i	−0.124473	−	0.218291i
$827$		−	26.8349i		−	0.933142i	−0.884484	−	0.466571i	$-0.845489\pi$
$827$		−	26.8349i		−	0.933142i	0.884484	−	0.466571i	$-0.154511\pi$
$828$	−5.45725	+	13.3123i	−0.189653	+	0.462636i
$829$	20.6342	+	11.9131i	0.716654	+	0.413760i	0.813520	−	0.581537i	$-0.197548\pi$
$829$	20.6342	+	11.9131i	0.716654	+	0.413760i	−0.0968660	+	0.995297i	$0.530882\pi$
$830$	−0.208151	−	1.07999i	−0.00722502	−	0.0374870i
$831$	5.07036	+	43.3230i	0.175889	+	1.50286i
$832$	−4.24654	−	0.610560i	−0.147222	−	0.0211674i
$833$	−3.63513	−	15.7188i	−0.125950	−	0.544623i
$834$	8.78087	+	27.7070i	0.304057	+	0.959414i
$835$	−2.26816	−	9.34949i	−0.0784930	−	0.323553i
$836$	0.0772502	+	1.62168i	0.00267175	+	0.0560870i
$837$	−0.437815	−	1.04391i	−0.0151331	−	0.0360827i
$838$	19.2886	−	20.2293i	0.666314	−	0.698810i
$839$	21.1878	−	24.4520i	0.731483	−	0.844177i	−0.261155	−	0.965297i	$-0.584103\pi$
$839$	21.1878	−	24.4520i	0.731483	−	0.844177i	0.992638	+	0.121120i	$0.0386487\pi$
$840$	2.64587	−	2.86498i	0.0912911	−	0.0988512i
$841$	−27.4179	+	8.05063i	−0.945446	+	0.277608i
$842$	9.69034	+	6.90046i	0.333951	+	0.237805i
$843$	40.4125	−	8.68572i	1.39188	−	0.299152i
$844$	11.0514	−	10.5375i	0.380404	−	0.362715i
$845$	3.61622	−	2.84383i	0.124402	−	0.0978306i
$846$	13.1616	+	1.32305i	0.452505	+	0.0454873i
$847$	−3.60152	−	19.2416i	−0.123750	−	0.661149i
$848$	−0.814950	+	1.26809i	−0.0279855	+	0.0435463i
$849$	−25.4061	−	4.33741i	−0.871935	−	0.148860i
$850$	8.53452	+	4.92741i	0.292732	+	0.169009i
$851$	−1.28264	+	25.1977i	−0.0439683	+	0.863766i
$852$	0.451602	−	0.370984i	0.0154716	−	0.0127097i
$853$	−3.12219	+	2.70539i	−0.106902	+	0.0926309i	−0.706672	−	0.707542i	$-0.749804\pi$
$853$	−3.12219	+	2.70539i	−0.106902	+	0.0926309i	0.599770	+	0.800172i	$0.295259\pi$
$854$	−5.57762	−	19.3798i	−0.190862	−	0.663163i
$855$	2.14680	−	0.402669i	0.0734191	−	0.0137710i
$856$	1.20697	−	0.115252i	0.0412534	−	0.00393922i
$857$	48.1203	+	19.2645i	1.64376	+	0.658061i	0.994713	−	0.102690i	$-0.0327448\pi$
$857$	48.1203	+	19.2645i	1.64376	+	0.658061i	0.649044	+	0.760751i	$0.275169\pi$
$858$	−11.2674	−	8.47862i	−0.384664	−	0.289455i
$859$	4.08906	−	7.93167i	0.139517	−	0.270625i	−0.808717	−	0.588198i	$-0.799838\pi$
$859$	4.08906	−	7.93167i	0.139517	−	0.270625i	0.948234	+	0.317573i	$0.102868\pi$
$860$	1.04645	+	2.29141i	0.0356838	+	0.0781365i
$861$	−6.71279	−	1.85536i	−0.228771	−	0.0632305i
$862$	−16.3293	+	18.8450i	−0.556177	+	0.641863i
$863$	−3.75710	+	19.4937i	−0.127893	+	0.663572i	0.860230	+	0.509906i	$0.170320\pi$
$863$	−3.75710	+	19.4937i	−0.127893	+	0.663572i	−0.988123	+	0.153666i	$0.950892\pi$
$864$	5.02902	−	1.30728i	0.171091	−	0.0444746i
$865$	−8.36267	−	0.798538i	−0.284339	−	0.0271511i
$866$	15.9703	+	8.23326i	0.542693	+	0.279777i
$867$	20.0948	+	2.45346i	0.682455	+	0.0833240i
$868$	0.513722	−	0.261362i	0.0174369	−	0.00887120i
$869$	28.8729	+	13.1858i	0.979445	+	0.447297i
$870$	−0.821345	+	0.497831i	−0.0278462	+	0.0168781i
$871$	−21.8272	−	42.3389i	−0.739588	−	1.43460i
$872$	0.209140	+	1.08512i	0.00708236	+	0.0367468i
$873$	−29.4854	+	33.6871i	−0.997930	+	1.14013i
$874$	−2.36909	−	3.34998i	−0.0801358	−	0.113315i
$875$	−4.06253	+	20.4861i	−0.137339	+	0.692558i
$876$	−10.4670	+	12.6127i	−0.353646	+	0.426145i
$877$	0.734092	−	15.4105i	0.0247885	−	0.520375i	−0.951991	−	0.306127i	$-0.900967\pi$
$877$	0.734092	−	15.4105i	0.0247885	−	0.520375i	0.976779	−	0.214248i	$-0.0687302\pi$
$878$	−28.1361	−	22.1265i	−0.949547	−	0.746732i
$879$	31.3567	+	31.5134i	1.05763	+	1.06292i
$880$	0.998279	+	1.26942i	0.0336520	+	0.0427920i
$881$	51.4038	+	15.0935i	1.73184	+	0.508513i	0.987273	−	0.159037i	$-0.0508388\pi$
$881$	51.4038	+	15.0935i	1.73184	+	0.508513i	0.744565	+	0.667550i	$0.232657\pi$
$882$	20.9974	+	0.330125i	0.707019	+	0.0111159i
$883$	−5.77540	−	12.6464i	−0.194358	−	0.425584i	0.787214	−	0.616680i	$-0.211523\pi$
$883$	−5.77540	−	12.6464i	−0.194358	−	0.425584i	−0.981571	+	0.191097i	$0.938796\pi$
$884$	−6.82356	+	7.15634i	−0.229501	+	0.240694i
$885$	−1.91946	−	3.53616i	−0.0645218	−	0.118867i
$886$	7.67986	+	22.1895i	0.258010	+	0.745471i
$887$	−2.94494	−	2.80799i	−0.0988813	−	0.0942832i	0.639026	−	0.769185i	$-0.279338\pi$
$887$	−2.94494	−	2.80799i	−0.0988813	−	0.0942832i	−0.737908	+	0.674902i	$0.764186\pi$
$888$	7.55891	−	5.08858i	0.253660	−	0.170762i
$889$	8.27563	+	20.9974i	0.277556	+	0.704232i
$890$	1.03842	−	3.53654i	0.0348080	−	0.118545i
$891$	16.5564	+	4.19182i	0.554660	+	0.140431i
$892$	−11.6026	+	8.26216i	−0.388483	+	0.276638i
$893$	−2.33192	+	2.96528i	−0.0780347	+	0.0992292i
$894$	−1.66221	−	14.2025i	−0.0555927	−	0.475004i
$895$	−4.80015	+	4.15935i	−0.160451	+	0.139032i
$896$	0.851909	+	2.50485i	0.0284603	+	0.0836810i
$897$	35.5311	+	2.74677i	1.18635	+	0.0917119i
$898$	6.34945	+	10.9976i	0.211884	+	0.366993i
$899$	−0.139385	+	0.0268643i	−0.00464876	+	0.000895974i
$900$	−8.89805	+	9.23931i	−0.296602	+	0.307977i
$901$	1.29123	+	3.22534i	0.0430172	+	0.107452i
$902$	1.19805	−	2.62337i	0.0398908	−	0.0873486i
$903$	−5.43760	+	12.4271i	−0.180952	+	0.413549i
$904$	8.22320	+	2.41455i	0.273500	+	0.0803067i
$905$	1.72121	−	3.33869i	0.0572151	−	0.110982i
$906$	2.11781	+	30.6859i	0.0703594	+	1.01947i
$907$	−3.46887	+	14.2989i	−0.115182	+	0.474787i	0.884779	+	0.466010i	$0.154309\pi$
$907$	−3.46887	+	14.2989i	−0.115182	+	0.474787i	−0.999961	+	0.00877670i	$0.997206\pi$
$908$	12.0369	+	2.31992i	0.399458	+	0.0769893i
$909$	−6.16765	+	15.1861i	−0.204568	+	0.503691i
$910$	−8.76512	−	4.05989i	−0.290561	−	0.134584i
$911$	29.0557	−	13.2693i	0.962657	−	0.439631i	0.128836	−	0.991666i	$-0.458876\pi$
$911$	29.0557	−	13.2693i	0.962657	−	0.439631i	0.833821	+	0.552035i	$0.186149\pi$
$912$	−0.454720	+	1.41035i	−0.0150573	+	0.0467015i
$913$	1.69245	+	1.77499i	0.0560120	+	0.0587437i
$914$	7.98251	−	19.9394i	0.264038	−	0.659535i
$915$	−2.88080	−	10.8595i	−0.0952362	−	0.359005i
$916$	1.64887	+	0.237072i	0.0544803	+	0.00783309i
$917$	55.3116	+	13.7332i	1.82655	+	0.453510i
$918$	4.26904	−	11.1894i	0.140899	−	0.369305i
$919$	5.33902	+	9.24746i	0.176118	+	0.305045i	0.940548	−	0.339662i	$-0.110313\pi$
$919$	5.33902	+	9.24746i	0.176118	+	0.305045i	−0.764430	+	0.644707i	$0.776979\pi$
$920$	−3.85248	−	1.34743i	−0.127012	−	0.0444235i
$921$	−15.1726	−	5.70221i	−0.499953	−	0.187894i
$922$	13.6760	+	4.73331i	0.450395	+	0.155883i
$923$	−1.21783	−	0.782652i	−0.0400854	−	0.0257613i
$924$	−1.50944	+	8.56410i	−0.0496569	+	0.281738i
$925$	−9.34450	+	20.4616i	−0.307245	+	0.672773i
$926$	9.89462	+	12.5820i	0.325157	+	0.413471i
$927$	6.67933	+	3.48570i	0.219378	+	0.114486i
$928$	−0.0310038	−	0.650849i	−0.00101775	−	0.0213652i
$929$	−10.4078	+	14.6158i	−0.341470	+	0.479528i	−0.949226	−	0.314596i	$-0.898131\pi$
$929$	−10.4078	+	14.6158i	−0.341470	+	0.479528i	0.607755	+	0.794125i	$0.292070\pi$
$930$	0.289189	−	0.139589i	0.00948287	−	0.00457730i
$931$	−3.29169	+	5.00306i	−0.107881	+	0.163969i
$932$	−19.1177	−	16.5656i	−0.626222	−	0.542624i
$933$	−10.3601	−	7.04965i	−0.339175	−	0.230795i
$934$	−3.71559	+	38.9114i	−0.121578	+	1.27322i
$935$	3.71786	−	0.177104i	0.121587	−	0.00579191i
$936$	−6.90430	−	10.8620i	−0.225674	−	0.355036i
$937$	−32.7357	+	4.70668i	−1.06943	+	0.153760i	−0.654476	−	0.756083i	$-0.727111\pi$
$937$	−32.7357	+	4.70668i	−1.06943	+	0.153760i	−0.414951	+	0.909844i	$0.636201\pi$
$938$	−17.1678	+	23.8370i	−0.560549	+	0.778306i
$939$	−2.57712	+	0.0549176i	−0.0841010	+	0.00179217i
$940$	−0.178546	+	3.74814i	−0.00582352	+	0.122251i
$941$	−15.9794	+	3.07978i	−0.520914	+	0.100398i	−0.442929	−	0.896556i	$-0.646061\pi$
$941$	−15.9794	+	3.07978i	−0.520914	+	0.100398i	−0.0779851	+	0.996955i	$0.524849\pi$
$942$	4.79410	−	12.7562i	0.156200	−	0.415621i
$943$	1.01375	+	7.21773i	0.0330123	+	0.235042i
$944$	2.72966			0.0888429
$945$	11.6917	+	0.428659i	0.380329	+	0.0139443i
$946$	−4.72545	−	3.03686i	−0.153638	−	0.0987369i
$947$	19.5164	+	48.7497i	0.634199	+	1.58415i	0.801333	+	0.598218i	$0.204124\pi$
$947$	19.5164	+	48.7497i	0.634199	+	1.58415i	−0.167135	+	0.985934i	$0.553451\pi$
$948$	20.4347	+	20.5369i	0.663689	+	0.667007i
$949$	37.6896	+	15.0887i	1.22346	+	0.489799i
$950$	−0.862433	−	3.55500i	−0.0279810	−	0.115339i
$951$	−18.4137	−	20.3575i	−0.597104	−	0.660136i
$952$	5.84162	+	1.74936i	0.189328	+	0.0566972i
$953$	3.95405	+	13.4662i	0.128084	+	0.436214i	0.998417	−	0.0562499i	$-0.0179144\pi$
$953$	3.95405	+	13.4662i	0.128084	+	0.436214i	−0.870333	+	0.492464i	$0.836096\pi$
$954$	−4.47926	+	0.621237i	−0.145021	+	0.0201133i
$955$	9.27440	−	3.20990i	0.300113	−	0.103870i
$956$	−18.7261	−	4.54290i	−0.605645	−	0.146928i
$957$	0.940583	−	1.92405i	0.0304047	−	0.0621957i
$958$	8.65719	+	13.4708i	0.279701	+	0.435223i
$959$	−44.9692	+	28.5601i	−1.45213	+	0.922253i
$960$	0.445311	+	1.40512i	0.0143723	+	0.0453502i
$961$	−30.8124	+	2.94223i	−0.993948	+	0.0949105i
$962$	−17.7415	−	13.9520i	−0.572007	−	0.449832i
$963$	2.61995	+	2.52318i	0.0844266	+	0.0813082i
$964$	−15.2044	−	5.26229i	−0.489700	−	0.169487i
$965$	8.78209			0.282706
$966$	−8.42617	−	20.2978i	−0.271108	−	0.653070i
$967$	10.4420			0.335794			0.167897	−	0.985805i	$-0.446302\pi$
$967$	10.4420			0.335794			0.167897	+	0.985805i	$0.446302\pi$
$968$	6.99200	+	2.41996i	0.224732	+	0.0777803i
$969$	2.03993	+	2.73923i	0.0655319	+	0.0879969i
$970$	−9.98249	−	7.85031i	−0.320518	−	0.252058i
$971$	52.8774	−	5.04918i	1.69692	−	0.162036i	0.798742	−	0.601673i	$-0.205499\pi$
$971$	52.8774	−	5.04918i	1.69692	−	0.162036i	0.898175	+	0.439637i	$0.144893\pi$
$972$	12.7996	+	8.89771i	0.410549	+	0.285394i
$973$	−39.3525	−	20.5557i	−1.26158	−	0.658985i
$974$	16.4892	+	25.6577i	0.528348	+	0.822125i
$975$	28.5444	+	13.9541i	0.914154	+	0.446889i
$976$	7.40735	+	1.79700i	0.237104	+	0.0575207i
$977$	−11.9855	+	4.14821i	−0.383449	+	0.132713i	−0.511990	−	0.858991i	$-0.671092\pi$
$977$	−11.9855	+	4.14821i	−0.383449	+	0.132713i	0.128541	+	0.991704i	$0.458970\pi$
$978$	−0.0953391	+	3.62514i	−0.00304861	+	0.115919i
$979$	2.31554	+	7.88602i	0.0740051	+	0.252038i
$980$	0.219564	+	5.95305i	0.00701372	+	0.190163i
$981$	−2.06233	+	2.59573i	−0.0658452	+	0.0828751i
$982$	6.57624	+	27.1076i	0.209856	+	0.865039i
$983$	−49.8941	−	19.9746i	−1.59137	−	0.637090i	−0.604213	−	0.796822i	$-0.706513\pi$
$983$	−49.8941	−	19.9746i	−1.59137	−	0.637090i	−0.987160	+	0.159732i	$0.948937\pi$
$984$	1.86597	−	1.85669i	0.0594849	−	0.0591890i
$985$	−6.70216	−	16.7412i	−0.213549	−	0.533419i
$986$	−1.26338	−	0.811924i	−0.0402341	−	0.0258569i
$987$	−15.6819	+	12.7421i	−0.499160	+	0.405585i
$988$	3.67046			0.116773
$989$	14.1959	+	0.0462678i	0.451403	+	0.00147123i
$990$	−0.940591	+	4.75259i	−0.0298939	+	0.151047i
$991$	−31.2228	+	6.01769i	−0.991824	+	0.191158i	−0.659254	−	0.751920i	$-0.729128\pi$
$991$	−31.2228	+	6.01769i	−0.991824	+	0.191158i	−0.332570	+	0.943079i	$0.607916\pi$
$992$	−0.0103659	+	0.217606i	−0.000329117	+	0.00690901i
$993$	−0.899568	−	42.2140i	−0.0285469	−	1.33962i
$994$	−0.0896299	+	0.888241i	−0.00284289	+	0.0281733i
$995$	−11.5784	+	1.66473i	−0.367062	+	0.0527755i
$996$	0.876065	+	2.05998i	0.0277592	+	0.0652731i
$997$	−50.3922	+	2.40048i	−1.59594	+	0.0760239i	−0.826589	−	0.562806i	$-0.809722\pi$
$997$	−50.3922	+	2.40048i	−1.59594	+	0.0760239i	−0.769348	+	0.638829i	$0.779419\pi$
$998$	−0.962990	+	10.0849i	−0.0304829	+	0.319231i
$999$	26.3512	+	7.27249i	0.833717	+	0.230091i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bd.a.59.7	✓	1280
3.2	odd	2	inner	966.2.bd.a.59.63	yes	1280
7.5	odd	6	inner	966.2.bd.a.887.51	yes	1280
21.5	even	6	inner	966.2.bd.a.887.20	yes	1280
23.16	even	11	inner	966.2.bd.a.269.20	yes	1280
69.62	odd	22	inner	966.2.bd.a.269.51	yes	1280
161.131	odd	66	inner	966.2.bd.a.131.63	yes	1280
483.131	even	66	inner	966.2.bd.a.131.7	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bd.a.59.7	✓	1280	1.1	even	1	trivial
966.2.bd.a.59.63	yes	1280	3.2	odd	2	inner
966.2.bd.a.131.7	yes	1280	483.131	even	66	inner
966.2.bd.a.131.63	yes	1280	161.131	odd	66	inner
966.2.bd.a.269.20	yes	1280	23.16	even	11	inner
966.2.bd.a.269.51	yes	1280	69.62	odd	22	inner
966.2.bd.a.887.20	yes	1280	21.5	even	6	inner
966.2.bd.a.887.51	yes	1280	7.5	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.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.38916 + 1.03452i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.847161 + 0.0808940i) q^{5} +(1.65112 - 0.523271i) q^{6} +(-1.22496 + 2.34510i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.859542 - 2.87423i) q^{9} +O(q^{10})\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.38916 + 1.03452i) q^{3} +(0.786053 + 0.618159i) q^{4} +(-0.847161 + 0.0808940i) q^{5} +(1.65112 - 0.523271i) q^{6} +(-1.22496 + 2.34510i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.859542 - 2.87423i) q^{9} +(0.827025 + 0.200634i) q^{10} +(-1.79328 + 0.620659i) q^{11} +(-1.73145 - 0.0455363i) q^{12} +(1.20869 + 4.11642i) q^{13} +(1.92459 - 1.81547i) q^{14} +(1.09316 - 0.988778i) q^{15} +(0.235759 + 0.971812i) q^{16} +(2.13970 + 0.856609i) q^{17} +(-1.75234 + 2.43502i) q^{18} +(-0.317974 - 0.794260i) q^{19} +(-0.715919 - 0.460093i) q^{20} +(-0.724383 - 4.52496i) q^{21} +1.89765 q^{22} +(-4.04294 + 2.57966i) q^{23} +(1.62133 + 0.609334i) q^{24} +(-4.19851 + 0.809196i) q^{25} +(0.204136 - 4.28535i) q^{26} +(1.77940 + 4.88198i) q^{27} +(-2.41252 + 1.08615i) q^{28} +(0.644955 - 0.0927305i) q^{29} +(-1.35643 + 0.576860i) q^{30} +(-0.217606 + 0.0103659i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(1.84907 - 2.71737i) q^{33} +(-1.74185 - 1.50932i) q^{34} +(0.848031 - 2.08577i) q^{35} +(2.45238 - 1.72796i) q^{36} +(3.05161 - 4.28539i) q^{37} +(0.0407084 + 0.854575i) q^{38} +(-5.93759 - 4.46797i) q^{39} +(0.526062 + 0.668942i) q^{40} +(0.631336 - 1.38243i) q^{41} +(-0.795427 + 4.51301i) q^{42} +(-2.49016 - 1.60033i) q^{43} +(-1.79328 - 0.620659i) q^{44} +(-0.495662 + 2.50446i) q^{45} +(4.66430 - 1.11546i) q^{46} +(-2.20466 - 3.81858i) q^{47} +(-1.33286 - 1.10611i) q^{48} +(-3.99896 - 5.74529i) q^{49} +(4.23225 + 0.608506i) q^{50} +(-3.85857 + 1.02360i) q^{51} +(-1.59451 + 3.98289i) q^{52} +(1.04021 + 1.09094i) q^{53} +(-0.0847953 - 5.19546i) q^{54} +(1.46899 - 0.670863i) q^{55} +(2.63508 - 0.237356i) q^{56} +(1.26339 + 0.774406i) q^{57} +(-0.639812 - 0.123314i) q^{58} +(0.643542 - 2.65272i) q^{59} +(1.47050 - 0.101488i) q^{60} +(3.49270 - 6.77489i) q^{61} +(0.209029 + 0.0613764i) q^{62} +(5.68744 + 5.53652i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(-1.35695 - 3.38950i) q^{65} +(-2.63614 + 1.96315i) q^{66} +(-10.9024 + 2.10126i) q^{67} +(1.15240 + 1.99602i) q^{68} +(2.94759 - 7.76606i) q^{69} +(-1.48358 + 1.69369i) q^{70} +(-0.255011 + 0.220969i) q^{71} +(-2.88266 + 0.830833i) q^{72} +(5.84957 - 7.43833i) q^{73} +(-4.28539 + 3.05161i) q^{74} +(4.99528 - 5.46754i) q^{75} +(0.241035 - 0.820889i) q^{76} +(0.741181 - 4.96569i) q^{77} +(4.14969 + 6.16423i) q^{78} +(-12.1056 - 11.5427i) q^{79} +(-0.278339 - 0.804209i) q^{80} +(-7.52238 - 4.94104i) q^{81} +(-1.04876 + 1.09991i) q^{82} +(-0.536889 - 1.17562i) q^{83} +(2.22774 - 4.00464i) q^{84} +(-1.88197 - 0.552596i) q^{85} +(1.82979 + 2.32677i) q^{86} +(-0.800016 + 0.796036i) q^{87} +(1.49165 + 1.17305i) q^{88} +(0.206083 - 4.32622i) q^{89} +(1.28753 - 2.20461i) q^{90} +(-11.1340 - 2.20794i) q^{91} +(-4.77260 - 0.471430i) q^{92} +(0.291567 - 0.239518i) q^{93} +(0.834468 + 4.32963i) q^{94} +(0.333626 + 0.647143i) q^{95} +(0.897786 + 1.48121i) q^{96} +(-13.5743 - 6.19915i) q^{97} +(1.89992 + 6.73723i) q^{98} +(0.242520 + 5.68777i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 + 4 * q^9	\( 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 + 4 * q^9 + 16 * q^15 + 64 * q^16 - 44 * q^18 + 120 * q^21 - 16 * q^22 - 12 * q^24 + 56 * q^25 + 32 * q^30 - 24 * q^33 + 8 * q^36 - 44 * q^37 - 20 * q^39 + 4 * q^42 + 136 * q^43 + 12 * q^45 + 12 * q^46 + 92 * q^49 + 4 * q^51 - 36 * q^54 - 56 * q^57 - 28 * q^58 + 8 * q^60 + 72 * q^61 - 134 * q^63 + 128 * q^64 + 24 * q^67 - 72 * q^70 - 44 * q^72 - 72 * q^73 + 48 * q^75 - 16 * q^78 - 72 * q^79 + 40 * q^81 + 48 * q^82 - 10 * q^84 - 32 * q^85 + 222 * q^87 - 8 * q^88 - 8 * q^91 - 16 * q^93 + 72 * q^94 - 12 * q^96 - 68 * q^99

Introduction

L-functions

Modular forms

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