LMFDB - Embedded newform 966.2.bd.a.59.8

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			59.8
Character	$\chi$	$=$	966.59
Dual form			966.2.bd.a.131.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.945001 - 0.327068i) q^{2} +(-1.30303 - 1.14110i) q^{3} +(0.786053 + 0.618159i) q^{4} +(0.986781 - 0.0942262i) q^{5} +(0.858148 + 1.50452i) q^{6} +(-0.514065 + 2.59533i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.395779 + 2.97378i) q^{9} +O(q^{10})$	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.30303 - 1.14110i) q^{3} +(0.786053 + 0.618159i) q^{4} +(0.986781 - 0.0942262i) q^{5} +(0.858148 + 1.50452i) q^{6} +(-0.514065 + 2.59533i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.395779 + 2.97378i) q^{9} +(-0.963327 - 0.233701i) q^{10} +(2.79226 - 0.966410i) q^{11} +(-0.318870 - 1.70245i) q^{12} +(0.494256 + 1.68328i) q^{13} +(1.33464 - 2.28445i) q^{14} +(-1.39333 - 1.00324i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.60790 - 2.64540i) q^{17} +(0.598616 - 2.93967i) q^{18} +(1.93338 + 4.82936i) q^{19} +(0.833909 + 0.535921i) q^{20} +(3.63137 - 2.79520i) q^{21} -2.95477 q^{22} +(-4.39023 - 1.93025i) q^{23} +(-0.255483 + 1.71310i) q^{24} +(-3.94479 + 0.760295i) q^{25} +(0.0834751 - 1.75236i) q^{26} +(2.87767 - 4.32655i) q^{27} +(-2.00841 + 1.72229i) q^{28} +(-2.99164 + 0.430132i) q^{29} +(0.988569 + 1.40377i) q^{30} +(-4.82922 + 0.230044i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-4.74117 - 1.92698i) q^{33} +(5.37924 + 4.66114i) q^{34} +(-0.262721 + 2.60946i) q^{35} +(-1.52716 + 2.58220i) q^{36} +(1.32070 - 1.85466i) q^{37} +(-0.247521 - 5.19610i) q^{38} +(1.27676 - 2.75736i) q^{39} +(-0.612762 - 0.779191i) q^{40} +(-2.78093 + 6.08939i) q^{41} +(-4.34587 + 1.45376i) q^{42} +(-3.60271 - 2.31532i) q^{43} +(2.79226 + 0.966410i) q^{44} +(0.670755 + 2.89718i) q^{45} +(3.51745 + 3.25999i) q^{46} +(-1.72948 - 2.99555i) q^{47} +(0.801733 - 1.53533i) q^{48} +(-6.47148 - 2.66833i) q^{49} +(3.97649 + 0.571733i) q^{50} +(5.59162 + 10.9873i) q^{51} +(-0.652024 + 1.62868i) q^{52} +(4.89062 + 5.12914i) q^{53} +(-4.13447 + 3.14740i) q^{54} +(2.66429 - 1.21674i) q^{55} +(2.46125 - 0.970683i) q^{56} +(2.99153 - 8.49899i) q^{57} +(2.96778 + 0.571993i) q^{58} +(-0.286363 + 1.18040i) q^{59} +(-0.475070 - 1.64990i) q^{60} +(-6.92555 + 13.4337i) q^{61} +(4.63886 + 1.36209i) q^{62} +(-7.92139 - 0.501537i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(0.646331 + 1.61446i) q^{65} +(3.85015 + 3.37169i) q^{66} +(11.2320 - 2.16478i) q^{67} +(-3.55888 - 6.16416i) q^{68} +(3.51799 + 7.52487i) q^{69} +(1.10174 - 2.38001i) q^{70} +(4.42707 - 3.83608i) q^{71} +(2.28773 - 1.94070i) q^{72} +(-5.51030 + 7.00692i) q^{73} +(-1.85466 + 1.32070i) q^{74} +(6.00775 + 3.51071i) q^{75} +(-1.46557 + 4.99127i) q^{76} +(1.07275 + 7.74363i) q^{77} +(-2.10839 + 2.18812i) q^{78} +(6.60407 + 6.29697i) q^{79} +(0.324213 + 0.936751i) q^{80} +(-8.68672 + 2.35392i) q^{81} +(4.61963 - 4.84493i) q^{82} +(-3.97270 - 8.69899i) q^{83} +(4.58233 + 0.0475945i) q^{84} +(-6.76981 - 1.98780i) q^{85} +(2.64730 + 3.36631i) q^{86} +(4.38902 + 2.85328i) q^{87} +(-2.32260 - 1.82652i) q^{88} +(-0.222473 + 4.67027i) q^{89} +(0.313709 - 2.95722i) q^{90} +(-4.62275 + 0.417442i) q^{91} +(-2.25775 - 4.23114i) q^{92} +(6.55513 + 5.21087i) q^{93} +(0.654614 + 3.39646i) q^{94} +(2.36288 + 4.58335i) q^{95} +(-1.25979 + 1.18866i) q^{96} +(2.17394 + 0.992804i) q^{97} +(5.24282 + 4.63819i) q^{98} +(3.97901 + 7.92107i) 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
$3$	−1.30303	−	1.14110i	−0.752305	−	0.658815i
$3$	−1.30303	−	1.14110i	−0.752305	−	0.658815i
$4$	0.786053	+	0.618159i	0.393027	+	0.309079i
$5$	0.986781	−	0.0942262i	0.441302	−	0.0421392i	0.127959	−	0.991779i	$-0.459157\pi$
$5$	0.986781	−	0.0942262i	0.441302	−	0.0421392i	0.313342	+	0.949640i	$0.398551\pi$
$6$	0.858148	+	1.50452i	0.350337	+	0.614218i
$7$	−0.514065	+	2.59533i	−0.194298	+	0.980943i
$7$	−0.514065	+	2.59533i	−0.194298	+	0.980943i
$8$	−0.540641	−	0.841254i	−0.191145	−	0.297428i
$9$	0.395779	+	2.97378i	0.131926	+	0.991260i
$10$	−0.963327	−	0.233701i	−0.304631	−	0.0739026i
$11$	2.79226	−	0.966410i	0.841897	−	0.291383i	0.128122	−	0.991758i	$-0.459105\pi$
$11$	2.79226	−	0.966410i	0.841897	−	0.291383i	0.713775	+	0.700375i	$0.246984\pi$
$12$	−0.318870	−	1.70245i	−0.0920498	−	0.491454i
$13$	0.494256	+	1.68328i	0.137082	+	0.466858i	0.999206	−	0.0398389i	$-0.0126845\pi$
$13$	0.494256	+	1.68328i	0.137082	+	0.466858i	−0.862124	+	0.506697i	$0.830866\pi$
$14$	1.33464	−	2.28445i	0.356698	−	0.610546i
$15$	−1.39333	−	1.00324i	−0.359756	−	0.259035i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−6.60790	−	2.64540i	−1.60265	−	0.641605i	−0.613658	−	0.789572i	$-0.710303\pi$
$17$	−6.60790	−	2.64540i	−1.60265	−	0.641605i	−0.988992	+	0.147967i	$0.952727\pi$
$18$	0.598616	−	2.93967i	0.141095	−	0.692887i
$19$	1.93338	+	4.82936i	0.443549	+	1.10793i	0.966750	+	0.255722i	$0.0823133\pi$
$19$	1.93338	+	4.82936i	0.443549	+	1.10793i	−0.523201	+	0.852209i	$0.675262\pi$
$20$	0.833909	+	0.535921i	0.186468	+	0.119836i
$21$	3.63137	−	2.79520i	0.792431	−	0.609962i
$22$	−2.95477			−0.629958
$23$	−4.39023	−	1.93025i	−0.915426	−	0.402486i
$23$	−4.39023	−	1.93025i	−0.915426	−	0.402486i
$24$	−0.255483	+	1.71310i	−0.0521503	+	0.349686i
$25$	−3.94479	+	0.760295i	−0.788957	+	0.152059i
$26$	0.0834751	−	1.75236i	0.0163708	−	0.343665i
$27$	2.87767	−	4.32655i	0.553807	−	0.832645i
$28$	−2.00841	+	1.72229i	−0.379554	+	0.325483i
$29$	−2.99164	+	0.430132i	−0.555533	+	0.0798736i	−0.414363	−	0.910112i	$-0.635996\pi$
$29$	−2.99164	+	0.430132i	−0.555533	+	0.0798736i	−0.141170	+	0.989985i	$0.545086\pi$
$30$	0.988569	+	1.40377i	0.180487	+	0.256293i
$31$	−4.82922	+	0.230044i	−0.867354	+	0.0413172i	−0.476540	−	0.879153i	$-0.658109\pi$
$31$	−4.82922	+	0.230044i	−0.867354	+	0.0413172i	−0.390814	+	0.920470i	$0.627806\pi$
$32$	0.0950560	−	0.995472i	0.0168037	−	0.175976i
$33$	−4.74117	−	1.92698i	−0.825331	−	0.335445i
$34$	5.37924	+	4.66114i	0.922532	+	0.799379i
$35$	−0.262721	+	2.60946i	−0.0444080	+	0.441079i
$36$	−1.52716	+	2.58220i	−0.254527	+	0.430367i
$37$	1.32070	−	1.85466i	0.217121	−	0.304904i	−0.691622	−	0.722260i	$-0.743104\pi$
$37$	1.32070	−	1.85466i	0.217121	−	0.304904i	0.908743	+	0.417355i	$0.137043\pi$
$38$	−0.247521	−	5.19610i	−0.0401532	−	0.842919i
$39$	1.27676	−	2.75736i	0.204446	−	0.441531i
$40$	−0.612762	−	0.779191i	−0.0968862	−	0.123201i
$41$	−2.78093	+	6.08939i	−0.434309	+	0.951003i	0.558299	+	0.829640i	$0.311454\pi$
$41$	−2.78093	+	6.08939i	−0.434309	+	0.951003i	−0.992608	+	0.121364i	$0.961273\pi$
$42$	−4.34587	+	1.45376i	−0.670582	+	0.224319i
$43$	−3.60271	−	2.31532i	−0.549409	−	0.353083i	0.236300	−	0.971680i	$-0.424065\pi$
$43$	−3.60271	−	2.31532i	−0.549409	−	0.353083i	−0.785709	+	0.618597i	$0.787702\pi$
$44$	2.79226	+	0.966410i	0.420949	+	0.145692i
$45$	0.670755	+	2.89718i	0.0999903	+	0.431885i
$46$	3.51745	+	3.25999i	0.518619	+	0.480660i
$47$	−1.72948	−	2.99555i	−0.252271	−	0.436946i	0.711880	−	0.702301i	$-0.247844\pi$
$47$	−1.72948	−	2.99555i	−0.252271	−	0.436946i	−0.964151	+	0.265355i	$0.914511\pi$
$48$	0.801733	−	1.53533i	0.115720	−	0.221605i
$49$	−6.47148	−	2.66833i	−0.924496	−	0.381191i
$50$	3.97649	+	0.571733i	0.562361	+	0.0808553i
$51$	5.59162	+	10.9873i	0.782984	+	1.53853i
$52$	−0.652024	+	1.62868i	−0.0904194	+	0.225857i
$53$	4.89062	+	5.12914i	0.671779	+	0.704541i	0.968105	−	0.250545i	$-0.0806100\pi$
$53$	4.89062	+	5.12914i	0.671779	+	0.704541i	−0.296326	+	0.955087i	$0.595761\pi$
$54$	−4.13447	+	3.14740i	−0.562631	+	0.428307i
$55$	2.66429	−	1.21674i	0.359252	−	0.164065i
$56$	2.46125	−	0.970683i	0.328899	−	0.129713i
$57$	2.99153	−	8.49899i	0.396237	−	1.12572i
$58$	2.96778	+	0.571993i	0.389689	+	0.0751063i
$59$	−0.286363	+	1.18040i	−0.0372812	+	0.153675i	−0.987410	−	0.158183i	$-0.949436\pi$
$59$	−0.286363	+	1.18040i	−0.0372812	+	0.153675i	0.950129	+	0.311859i	$0.100952\pi$
$60$	−0.475070	−	1.64990i	−0.0613312	−	0.213001i
$61$	−6.92555	+	13.4337i	−0.886726	+	1.72001i	−0.218818	+	0.975766i	$0.570220\pi$
$61$	−6.92555	+	13.4337i	−0.886726	+	1.72001i	−0.667908	+	0.744244i	$0.732810\pi$
$62$	4.63886	+	1.36209i	0.589136	+	0.172986i
$63$	−7.92139	−	0.501537i	−0.998002	−	0.0631877i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	0.646331	+	1.61446i	0.0801675	+	0.200249i
$66$	3.85015	+	3.37169i	0.473921	+	0.415026i
$67$	11.2320	−	2.16478i	1.37220	−	0.264470i	0.550713	−	0.834695i	$-0.314356\pi$
$67$	11.2320	−	2.16478i	1.37220	−	0.264470i	0.821489	+	0.570225i	$0.193144\pi$
$68$	−3.55888	−	6.16416i	−0.431577	−	0.747514i
$69$	3.51799	+	7.52487i	0.423517	+	0.905888i
$70$	1.10174	−	2.38001i	0.131683	−	0.284466i
$71$	4.42707	−	3.83608i	0.525397	−	0.455259i	−0.351327	−	0.936253i	$-0.614270\pi$
$71$	4.42707	−	3.83608i	0.525397	−	0.455259i	0.876724	+	0.480994i	$0.159724\pi$
$72$	2.28773	−	1.94070i	0.269611	−	0.228713i
$73$	−5.51030	+	7.00692i	−0.644932	+	0.820098i	−0.993092	−	0.117337i	$-0.962564\pi$
$73$	−5.51030	+	7.00692i	−0.644932	+	0.820098i	0.348160	+	0.937435i	$0.386807\pi$
$74$	−1.85466	+	1.32070i	−0.215600	+	0.153528i
$75$	6.00775	+	3.51071i	0.693715	+	0.405382i
$76$	−1.46557	+	4.99127i	−0.168112	+	0.572538i
$77$	1.07275	+	7.74363i	0.122251	+	0.882468i
$78$	−2.10839	+	2.18812i	−0.238728	+	0.247756i
$79$	6.60407	+	6.29697i	0.743016	+	0.708464i	0.963731	−	0.266874i	$-0.0859908\pi$
$79$	6.60407	+	6.29697i	0.743016	+	0.708464i	−0.220716	+	0.975338i	$0.570839\pi$
$80$	0.324213	+	0.936751i	0.0362481	+	0.104732i
$81$	−8.68672	+	2.35392i	−0.965191	+	0.261547i
$82$	4.61963	−	4.84493i	0.510153	−	0.535033i
$83$	−3.97270	−	8.69899i	−0.436060	−	0.954839i	−0.992305	−	0.123820i	$-0.960485\pi$
$83$	−3.97270	−	8.69899i	−0.436060	−	0.954839i	0.556245	−	0.831019i	$-0.312242\pi$
$84$	4.58233	+	0.0475945i	0.499973	+	0.00519299i
$85$	−6.76981	−	1.98780i	−0.734290	−	0.215607i
$86$	2.64730	+	3.36631i	0.285466	+	0.362999i
$87$	4.38902	+	2.85328i	0.470552	+	0.305904i
$88$	−2.32260	−	1.82652i	−0.247590	−	0.194707i
$89$	−0.222473	+	4.67027i	−0.0235820	+	0.495048i	0.955922	+	0.293622i	$0.0948606\pi$
$89$	−0.222473	+	4.67027i	−0.0235820	+	0.495048i	−0.979504	+	0.201426i	$0.935442\pi$
$90$	0.313709	−	2.95722i	0.0330678	−	0.311718i
$91$	−4.62275	+	0.417442i	−0.484596	+	0.0437598i
$92$	−2.25775	−	4.23114i	−0.235387	−	0.441127i
$93$	6.55513	+	5.21087i	0.679735	+	0.540343i
$94$	0.654614	+	3.39646i	0.0675183	+	0.350318i
$95$	2.36288	+	4.58335i	0.242426	+	0.470241i
$96$	−1.25979	+	1.18866i	−0.128577	+	0.121317i
$97$	2.17394	+	0.992804i	0.220730	+	0.100804i	0.522711	−	0.852510i	$-0.324921\pi$
$97$	2.17394	+	0.992804i	0.220730	+	0.100804i	−0.301981	+	0.953314i	$0.597648\pi$
$98$	5.24282	+	4.63819i	0.529605	+	0.468528i
$99$	3.97901	+	7.92107i	0.399905	+	0.796097i
$100$	−3.57079	−	1.84087i	−0.357079	−	0.184087i
$101$	−0.170010	−	0.0162340i	−0.0169166	−	0.00161534i	0.0865943	−	0.996244i	$-0.472402\pi$
$101$	−0.170010	−	0.0162340i	−0.0169166	−	0.00161534i	−0.103511	+	0.994628i	$0.533008\pi$
$102$	−1.69049	−	12.2119i	−0.167383	−	1.20915i
$103$	−2.72129	+	14.1194i	−0.268136	+	1.39122i	0.558975	+	0.829184i	$0.311195\pi$
$103$	−2.72129	+	14.1194i	−0.268136	+	1.39122i	−0.827111	+	0.562038i	$0.810017\pi$
$104$	1.14885	−	1.32584i	0.112654	−	0.130010i
$105$	3.31999	−	3.10042i	0.323998	−	0.302570i
$106$	−2.94407	−	6.44661i	−0.285953	−	0.626150i
$107$	−1.34798	+	2.61472i	−0.130314	+	0.252774i	−0.944961	−	0.327183i	$-0.893901\pi$
$107$	−1.34798	+	2.61472i	−0.130314	+	0.252774i	0.814647	+	0.579958i	$0.196931\pi$
$108$	4.93649	−	1.62204i	0.475014	−	0.156081i
$109$	−14.1197	−	5.65268i	−1.35242	−	0.541429i	−0.421562	−	0.906800i	$-0.638518\pi$
$109$	−14.1197	−	5.65268i	−1.35242	−	0.541429i	−0.930862	+	0.365371i	$0.880942\pi$
$110$	−2.91571	+	0.278416i	−0.278002	+	0.0265460i
$111$	−3.83726	+	0.909631i	−0.364217	+	0.0863384i
$112$	−2.64337	+	0.112298i	−0.249775	+	0.0106112i
$113$	−9.64813	+	8.36015i	−0.907619	+	0.786457i	−0.977464	−	0.211101i	$-0.932295\pi$
$113$	−9.64813	+	8.36015i	−0.907619	+	0.786457i	0.0698449	+	0.997558i	$0.477750\pi$
$114$	−5.60674	+	7.05312i	−0.525120	+	0.660586i
$115$	−4.51408	−	1.49106i	−0.420940	−	0.139042i
$116$	−2.61747	−	1.51120i	−0.243026	−	0.140311i
$117$	−4.81009	+	2.13602i	−0.444693	+	0.197475i
$118$	0.656685	−	1.02182i	0.0604528	−	0.0940663i
$119$	10.2626	−	15.7898i	0.940769	−	1.44745i
$120$	−0.0906866	+	1.71453i	−0.00827852	+	0.156515i
$121$	−1.78383	+	1.40282i	−0.162166	+	0.127529i
$122$	10.9384	−	10.4297i	0.990315	−	0.944264i
$123$	10.5723	−	4.76134i	0.953268	−	0.429316i
$124$	−3.93823	−	2.80440i	−0.353663	−	0.251843i
$125$	−8.57658	+	2.51831i	−0.767113	+	0.225245i
$126$	7.32169	+	3.06479i	0.652268	+	0.273033i
$127$	−1.88352	+	2.17369i	−0.167135	+	0.192884i	−0.833138	−	0.553065i	$-0.813458\pi$
$127$	−1.88352	+	2.17369i	−0.167135	+	0.192884i	0.666003	+	0.745949i	$0.268004\pi$
$128$	0.690079	−	0.723734i	0.0609949	−	0.0639697i
$129$	2.05243	+	7.12800i	0.180706	+	0.627585i
$130$	−0.0827463	−	1.73706i	−0.00725733	−	0.152350i
$131$	3.74003	+	15.4166i	0.326768	+	1.34696i	0.863987	+	0.503514i	$0.167960\pi$
$131$	3.74003	+	15.4166i	0.326768	+	1.34696i	−0.537219	+	0.843443i	$0.680525\pi$
$132$	−2.53563	−	4.44551i	−0.220698	−	0.386932i
$133$	−13.5277	+	2.53517i	−1.17300	+	0.219827i
$134$	−11.3222	−	1.62789i	−0.978092	−	0.140628i
$135$	2.43195	−	4.54051i	0.209309	−	0.390785i
$136$	1.34704	+	6.98913i	0.115508	+	0.599313i
$137$	7.09417	+	4.09582i	0.606096	+	0.349929i	0.771436	−	0.636307i	$-0.219539\pi$
$137$	7.09417	+	4.09582i	0.606096	+	0.349929i	−0.165340	+	0.986237i	$0.552872\pi$
$138$	−0.863361	−	8.26163i	−0.0734942	−	0.703277i
$139$		−	0.808422i		−	0.0685695i	−0.999412	−	0.0342847i	$-0.989085\pi$
$139$		−	0.808422i		−	0.0685695i	0.999412	−	0.0342847i	$-0.0109153\pi$
$140$	−1.81957	+	1.88877i	−0.153782	+	0.159630i
$141$	−1.16466	+	5.87681i	−0.0980818	+	0.494917i
$142$	−5.43824	+	2.17714i	−0.456367	+	0.182702i
$143$	3.00683	+	4.22250i	0.251444	+	0.353103i
$144$	−2.79664	+	1.08572i	−0.233054	+	0.0904765i
$145$	−2.91156	+	0.706337i	−0.241792	+	0.0586581i
$146$	7.49898	−	4.81930i	0.620620	−	0.398848i
$147$	5.38769	+	10.8615i	0.444370	+	0.895844i
$148$	2.18461	−	0.641460i	0.179574	−	0.0527277i
$149$	−3.19951	+	16.6006i	−0.262114	+	1.35998i	0.577321	+	0.816517i	$0.304098\pi$
$149$	−3.19951	+	16.6006i	−0.262114	+	1.35998i	−0.839435	+	0.543460i	$0.817114\pi$
$150$	−4.52909	−	5.28257i	−0.369799	−	0.431320i
$151$	4.10329	−	16.9140i	0.333921	−	1.37644i	−0.519167	−	0.854673i	$-0.673758\pi$
$151$	4.10329	−	16.9140i	0.333921	−	1.37644i	0.853088	−	0.521767i	$-0.174727\pi$
$152$	3.01745	−	4.23742i	0.244748	−	0.343700i
$153$	5.25158	−	20.6974i	0.424565	−	1.67329i
$154$	1.51894	−	7.66860i	0.122400	−	0.617953i
$155$	−4.74371	+	0.682043i	−0.381024	+	0.0547830i
$156$	2.70809	−	1.37819i	0.216821	−	0.110344i
$157$	10.2033	−	12.9745i	0.814311	−	1.03548i	−0.184304	−	0.982869i	$-0.559003\pi$
$157$	10.2033	−	12.9745i	0.814311	−	1.03548i	0.998615	−	0.0526114i	$-0.0167545\pi$
$158$	−4.18131	−	8.11062i	−0.332648	−	0.645246i
$159$	−0.519771	−	12.2641i	−0.0412205	−	0.972608i
$160$		−	0.991270i		−	0.0783667i
$161$	7.26651	−	10.4018i	0.572681	−	0.819778i
$162$	8.97885	+	0.616691i	0.705445	+	0.0484518i
$163$	2.00394	−	5.79000i	0.156961	−	0.453508i	−0.838912	−	0.544267i	$-0.816808\pi$
$163$	2.00394	−	5.79000i	0.156961	−	0.453508i	0.995873	+	0.0907587i	$0.0289292\pi$
$164$	−5.95017	+	3.06753i	−0.464630	+	0.239534i
$165$	−4.86007	−	1.45477i	−0.378356	−	0.113254i
$166$	0.909040	+	9.51990i	0.0705552	+	0.738887i
$167$	−1.58102	−	10.9962i	−0.122343	−	0.850914i	−0.954890	−	0.296960i	$-0.904027\pi$
$167$	−1.58102	−	10.9962i	−0.122343	−	0.850914i	0.832547	−	0.553954i	$-0.186882\pi$
$168$	−4.31474	−	1.54371i	−0.332889	−	0.119100i
$169$	8.34715	−	5.36439i	0.642088	−	0.412645i
$170$	5.74734	+	4.09266i	0.440801	+	0.313893i
$171$	−13.5963	+	7.66082i	−1.03973	+	0.585837i
$172$	−1.40069	−	4.04702i	−0.106801	−	0.308582i
$173$	−11.8984	−	2.29322i	−0.904615	−	0.174350i	−0.284330	−	0.958727i	$-0.591771\pi$
$173$	−11.8984	−	2.29322i	−0.904615	−	0.174350i	−0.620285	+	0.784376i	$0.712983\pi$
$174$	−3.21441	−	4.13186i	−0.243684	−	0.313236i
$175$	0.0546582	−	10.6289i	0.00413177	−	0.803466i
$176$	1.59747	+	2.48571i	0.120414	+	0.187367i
$177$	1.72010	−	1.21133i	0.129290	−	0.0910494i
$178$	1.73773	−	4.34065i	0.130249	−	0.325345i
$179$	10.1012	−	7.19306i	0.755002	−	0.537635i	−0.136506	−	0.990639i	$-0.543587\pi$
$179$	10.1012	−	7.19306i	0.755002	−	0.537635i	0.891508	+	0.453005i	$0.149648\pi$
$180$	−1.26367	+	2.69197i	−0.0941881	+	0.200647i
$181$	8.37920	−	13.0383i	0.622821	−	0.969128i	−0.376271	−	0.926510i	$-0.622794\pi$
$181$	8.37920	−	13.0383i	0.622821	−	0.969128i	0.999091	−	0.0426183i	$-0.0135699\pi$
$182$	4.50503	+	1.11747i	0.333935	+	0.0828324i
$183$	24.3534	−	9.60178i	1.80026	−	0.709784i
$184$	0.749706	+	4.73687i	0.0552690	+	0.349207i
$185$	1.12848	−	1.95459i	0.0829676	−	0.143704i
$186$	−4.49029	−	7.06825i	−0.329244	−	0.518270i
$187$	−21.0075	−	1.00071i	−1.53622	−	0.0731792i
$188$	0.492262	−	3.42376i	0.0359019	−	0.249703i
$189$	9.74952	+	9.69262i	0.709173	+	0.705035i
$190$	−0.733857	−	5.10409i	−0.0532396	−	0.370290i
$191$	−2.72438	+	0.660927i	−0.197129	+	0.0478230i	−0.333108	−	0.942889i	$-0.608097\pi$
$191$	−2.72438	+	0.660927i	−0.197129	+	0.0478230i	0.135979	+	0.990712i	$0.456582\pi$
$192$	1.57928	−	0.711248i	0.113975	−	0.0513299i
$193$	−10.3765	−	0.990832i	−0.746914	−	0.0713216i	−0.285344	−	0.958425i	$-0.592108\pi$
$193$	−10.3765	−	0.990832i	−0.746914	−	0.0713216i	−0.461570	+	0.887104i	$0.652714\pi$
$194$	−1.72966	−	1.64923i	−0.124182	−	0.118408i
$195$	1.00007	−	2.84122i	0.0716164	−	0.203464i
$196$	−3.43747	−	6.09785i	−0.245533	−	0.435561i
$197$	−4.36538	−	14.8671i	−0.311020	−	1.05924i	−0.955592	−	0.294694i	$-0.904782\pi$
$197$	−4.36538	−	14.8671i	−0.311020	−	1.05924i	0.644571	−	0.764544i	$-0.277036\pi$
$198$	−1.16944	−	8.78682i	−0.0831082	−	0.624452i
$199$	23.5558	−	1.12210i	1.66983	−	0.0795437i	0.808794	−	0.588091i	$-0.200120\pi$
$199$	23.5558	−	1.12210i	1.66983	−	0.0795437i	0.861034	+	0.508548i	$0.169817\pi$
$200$	2.77231	+	2.90752i	0.196032	+	0.205593i
$201$	−17.1058	−	9.99601i	−1.20655	−	0.705064i
$202$	0.155350	+	0.0709459i	0.0109304	+	0.00499173i
$203$	0.421559	−	7.98540i	0.0295876	−	0.560465i
$204$	−2.39660	+	12.0931i	−0.167795	+	0.846688i
$205$	−2.17039	+	6.27093i	−0.151587	+	0.437981i
$206$	7.18961	−	12.4528i	0.500924	−	0.867625i
$207$	4.00258	−	13.8195i	0.278199	−	0.960524i
$208$	−1.51931	+	0.877172i	−0.105345	+	0.0608209i
$209$	10.0656	+	11.6164i	0.696255	+	0.803522i
$210$	−4.15144	+	1.84403i	−0.286477	+	0.127250i
$211$	−1.05396	+	7.33042i	−0.0725573	+	0.504647i	0.920842	+	0.389937i	$0.127503\pi$
$211$	−1.05396	+	7.33042i	−0.0725573	+	0.504647i	−0.993399	+	0.114710i	$0.963406\pi$
$212$	0.673667	+	7.05496i	0.0462676	+	0.484537i
$213$	−10.1460	−	0.0532036i	−0.695190	−	0.00364545i
$214$	2.12903	−	2.03003i	0.145538	−	0.138770i
$215$	−3.77325	−	1.94525i	−0.257334	−	0.132665i
$216$	−5.19551	−	0.0817390i	−0.353510	−	0.00556163i
$217$	1.88549	−	12.6517i	0.127996	−	0.858852i
$218$	11.4943	+	9.95990i	0.778495	+	0.674569i
$219$	15.1757	−	2.84243i	1.02548	−	0.192073i
$220$	2.84641	+	0.690531i	0.191905	+	0.0465556i
$221$	1.18696	−	12.4305i	0.0798439	−	0.836163i
$222$	3.92373	+	0.395444i	0.263343	+	0.0265405i
$223$	−6.41326	+	21.8415i	−0.429463	+	1.46262i	0.406408	+	0.913692i	$0.366781\pi$
$223$	−6.41326	+	21.8415i	−0.429463	+	1.46262i	−0.835871	+	0.548926i	$0.815037\pi$
$224$	2.53471	+	0.758439i	0.169358	+	0.0506753i
$225$	−3.82221	−	11.4300i	−0.254814	−	0.762001i
$226$	11.8518	−	4.74475i	0.788372	−	0.315616i
$227$	−20.2221	+	10.4252i	−1.34219	+	0.691947i	−0.971551	−	0.236830i	$-0.923891\pi$
$227$	−20.2221	+	10.4252i	−1.34219	+	0.691947i	−0.370639	+	0.928777i	$0.620861\pi$
$228$	7.60523	−	4.83142i	0.503669	−	0.319969i
$229$	16.1210	−	9.30749i	1.06531	−	0.615056i	0.138413	−	0.990375i	$-0.455800\pi$
$229$	16.1210	−	9.30749i	1.06531	−	0.615056i	0.926896	+	0.375318i	$0.122467\pi$
$230$	3.77813	+	2.88547i	0.249122	+	0.190262i
$231$	7.43843	−	11.3143i	0.489413	−	0.744426i
$232$	1.97925	+	2.28418i	0.129944	+	0.149964i
$233$	3.39150	+	0.161557i	0.222184	+	0.0105839i	0.158379	−	0.987378i	$-0.449373\pi$
$233$	3.39150	+	0.161557i	0.222184	+	0.0105839i	0.0638054	+	0.997962i	$0.479676\pi$
$234$	5.24416	−	0.445310i	0.342821	−	0.0291108i
$235$	−1.98888	−	2.79299i	−0.129740	−	0.182195i
$236$	−0.954773	+	0.750842i	−0.0621504	+	0.0488756i
$237$	−1.41983	−	15.7410i	−0.0922281	−	1.02249i
$238$	−14.8625	+	11.5648i	−0.963391	+	0.749633i
$239$	13.5959	−	6.20905i	0.879447	−	0.401630i	0.0760711	−	0.997102i	$-0.475762\pi$
$239$	13.5959	−	6.20905i	0.879447	−	0.401630i	0.803376	+	0.595473i	$0.203035\pi$
$240$	0.646468	−	1.59057i	0.0417293	−	0.102671i
$241$	−20.3221	+	7.03356i	−1.30906	+	0.453071i	−0.890445	−	0.455091i	$-0.849607\pi$
$241$	−20.3221	+	7.03356i	−1.30906	+	0.453071i	−0.418619	+	0.908162i	$0.637486\pi$
$242$	2.14454	−	0.742232i	0.137856	−	0.0477125i
$243$	14.0051	+	6.84519i	0.898429	+	0.439119i
$244$	−13.7480	+	6.27851i	−0.880127	+	0.401940i
$245$	−6.63736	−	2.02328i	−0.424045	−	0.129263i
$246$	−11.5481	+	1.04163i	−0.736278	+	0.0664119i
$247$	−7.17358	+	5.64137i	−0.456444	+	0.358952i
$248$	2.80440	+	3.93823i	0.178080	+	0.250078i
$249$	−4.74988	+	15.8683i	−0.301011	+	1.00561i
$250$	8.92853	+	0.425319i	0.564690	+	0.0268995i
$251$	−8.89797	−	10.2688i	−0.561635	−	0.648161i	0.401919	−	0.915675i	$-0.368343\pi$
$251$	−8.89797	−	10.2688i	−0.561635	−	0.648161i	−0.963554	+	0.267514i	$0.913798\pi$
$252$	−5.91661	−	5.29091i	−0.372711	−	0.333296i
$253$	−14.1241	−	1.14700i	−0.887973	−	0.0721114i
$254$	2.49087	−	1.43810i	0.156291	−	0.0902347i
$255$	6.55300	+	10.3152i	0.410365	+	0.645963i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−12.4278	+	4.97535i	−0.775227	+	0.310354i	−0.725331	−	0.688400i	$-0.758313\pi$
$257$	−12.4278	+	4.97535i	−0.775227	+	0.310354i	−0.0498960	+	0.998754i	$0.515889\pi$
$258$	0.391791	−	7.40725i	0.0243918	−	0.461155i
$259$	4.13453	+	4.38106i	0.256907	+	0.272226i
$260$	−0.489941	+	1.66859i	−0.0303848	+	0.103481i
$261$	−2.46315	−	8.72623i	−0.152465	−	0.540140i
$262$	1.50795	−	15.7920i	0.0931615	−	0.975631i
$263$	10.5749	+	2.56544i	0.652076	+	0.158192i	0.548133	−	0.836391i	$-0.315339\pi$
$263$	10.5749	+	2.56544i	0.652076	+	0.158192i	0.103943	+	0.994583i	$0.466854\pi$
$264$	0.942186	+	5.03033i	0.0579876	+	0.309595i
$265$	5.30927	+	4.60051i	0.326146	+	0.282607i
$266$	13.6128	+	2.02873i	0.834656	+	0.124390i
$267$	5.61914	−	5.83165i	0.343886	−	0.356891i
$268$	10.1671	+	5.24150i	0.621054	+	0.320176i
$269$	−15.1443	+	14.4400i	−0.923363	+	0.880425i	−0.993115	−	0.117140i	$-0.962627\pi$
$269$	−15.1443	+	14.4400i	−0.923363	+	0.880425i	0.0697526	+	0.997564i	$0.477779\pi$
$270$	−3.78325	+	3.49537i	−0.230241	+	0.212721i
$271$	0.832422	+	8.71752i	0.0505661	+	0.529552i	0.984897	+	0.173144i	$0.0553925\pi$
$271$	0.832422	+	8.71752i	0.0505661	+	0.529552i	−0.934330	+	0.356408i	$0.884001\pi$
$272$	1.01296	−	7.04531i	0.0614199	−	0.427185i
$273$	6.49993	+	4.73108i	0.393394	+	0.286338i
$274$	−5.36438	−	6.19083i	−0.324074	−	0.374002i
$275$	−10.2801	+	5.93522i	−0.619913	+	0.357907i
$276$	−1.88624	+	8.08963i	−0.113538	+	0.486938i
$277$	6.19192	−	10.7247i	0.372036	−	0.644386i	−0.617842	−	0.786302i	$-0.711993\pi$
$277$	6.19192	−	10.7247i	0.372036	−	0.644386i	0.989879	+	0.141916i	$0.0453263\pi$
$278$	−0.264409	+	0.763960i	−0.0158582	+	0.0458193i
$279$	−2.59541	−	14.2700i	−0.155383	−	0.854322i
$280$	2.33726	−	1.18977i	0.139678	−	0.0711021i
$281$	13.6414	+	6.22983i	0.813780	+	0.371641i	0.778428	−	0.627734i	$-0.216018\pi$
$281$	13.6414	+	6.22983i	0.813780	+	0.371641i	0.0353519	+	0.999375i	$0.488745\pi$
$282$	3.02272	−	5.17267i	0.180000	−	0.308028i
$283$	−11.5039	−	12.0650i	−0.683837	−	0.717187i	0.286732	−	0.958011i	$-0.407431\pi$
$283$	−11.5039	−	12.0650i	−0.683837	−	0.717187i	−0.970569	+	0.240823i	$0.922583\pi$
$284$	5.85122	−	0.278728i	0.347206	−	0.0165395i
$285$	2.15115	−	8.66853i	0.127423	−	0.513479i
$286$	−1.46041	−	4.97370i	−0.0863559	−	0.294101i
$287$	−14.3744	−	10.3478i	−0.848494	−	0.610810i
$288$	2.99793	−	0.111311i	0.176655	−	0.00655909i
$289$	24.3627	+	23.2298i	1.43310	+	1.36646i
$290$	2.98245	+	0.284789i	0.175135	+	0.0167234i
$291$	−1.69982	−	3.77434i	−0.0996451	−	0.221255i
$292$	−8.66278	+	2.10157i	−0.506951	+	0.122985i
$293$	1.07030	+	7.44411i	0.0625277	+	0.434890i	0.996906	+	0.0786064i	$0.0250470\pi$
$293$	1.07030	+	7.44411i	0.0625277	+	0.434890i	−0.934378	+	0.356283i	$0.884044\pi$
$294$	−1.53892	−	12.0263i	−0.0897515	−	0.701388i
$295$	−0.171352	+	1.19178i	−0.00997652	+	0.0693882i
$296$	−2.27426	−	0.108336i	−0.132189	−	0.00629693i
$297$	3.85397	−	14.8618i	0.223630	−	0.862372i
$298$	8.45308	−	14.6412i	0.489674	−	0.848140i
$299$	1.07926	−	8.34403i	0.0624153	−	0.482548i
$300$	2.55223	+	6.47335i	0.147353	+	0.373739i
$301$	7.86105	−	8.16000i	0.453104	−	0.470335i
$302$	−9.40963	+	14.6417i	−0.541463	+	0.842533i
$303$	0.203003	+	0.215152i	0.0116622	+	0.0123601i
$304$	−4.23742	+	3.01745i	−0.243033	+	0.173063i
$305$	−5.56820	+	13.9087i	−0.318834	+	0.796409i
$306$	−11.7322	+	17.8415i	−0.670686	+	1.01993i
$307$	−7.99081	−	12.4339i	−0.456060	−	0.709643i	0.534734	−	0.845020i	$-0.320412\pi$
$307$	−7.99081	−	12.4339i	−0.456060	−	0.709643i	−0.990794	+	0.135377i	$0.956775\pi$
$308$	−3.94355	+	6.75003i	−0.224705	+	0.384619i
$309$	19.6575	−	15.2927i	1.11828	−	0.869972i
$310$	4.70588	+	0.906985i	0.267276	+	0.0515133i
$311$	−7.92532	−	22.8987i	−0.449404	−	1.29847i	−0.911377	−	0.411573i	$-0.864979\pi$
$311$	−7.92532	−	22.8987i	−0.449404	−	1.29847i	0.461973	−	0.886894i	$-0.347142\pi$
$312$	−3.00991	+	0.416662i	−0.170403	+	0.0235889i
$313$	10.4584	+	7.44738i	0.591143	+	0.420951i	0.836095	−	0.548584i	$-0.184833\pi$
$313$	10.4584	+	7.44738i	0.591143	+	0.420951i	−0.244953	+	0.969535i	$0.578772\pi$
$314$	−13.8857	+	8.92378i	−0.783614	+	0.503598i
$315$	−7.86394	+	0.251495i	−0.443083	+	0.0141702i
$316$	1.29862	+	9.03211i	0.0730532	+	0.508096i
$317$	1.16939	+	12.2464i	0.0656796	+	0.687828i	0.967017	+	0.254711i	$0.0819804\pi$
$317$	1.16939	+	12.2464i	0.0656796	+	0.687828i	−0.901338	+	0.433117i	$0.857414\pi$
$318$	−3.52002	+	11.7596i	−0.197393	+	0.659446i
$319$	−7.93773	+	4.09219i	−0.444428	+	0.229118i
$320$	−0.324213	+	0.936751i	−0.0181240	+	0.0523659i
$321$	4.74012	−	1.86888i	0.264568	−	0.104311i
$322$	−10.2690	+	7.45309i	−0.572267	+	0.415344i
$323$		−	37.0265i		−	2.06021i
$324$	−8.28332	−	3.51947i	−0.460184	−	0.195526i
$325$	−3.22952	−	6.26440i	−0.179142	−	0.347486i
$326$	−3.78745	+	4.81613i	−0.209767	+	0.266741i
$327$	11.9482	+	23.4776i	0.660734	+	1.29832i
$328$	6.62621	−	0.952705i	0.365871	−	0.0526043i
$329$	8.66352	−	2.94867i	0.477635	−	0.162566i
$330$	4.11696	+	2.96433i	0.226631	+	0.163181i
$331$	−0.666818	+	0.936415i	−0.0366516	+	0.0514700i	−0.832495	−	0.554032i	$-0.813088\pi$
$331$	−0.666818	+	0.936415i	−0.0366516	+	0.0514700i	0.795844	+	0.605502i	$0.207028\pi$
$332$	2.25461	−	9.29363i	0.123738	−	0.510054i
$333$	6.03805	+	3.19343i	0.330883	+	0.174999i
$334$	−2.10245	+	10.9086i	−0.115041	+	0.596889i
$335$	10.8795	−	3.19451i	0.594411	−	0.174535i
$336$	3.57253	+	2.87002i	0.194898	+	0.156572i
$337$	28.8676	−	18.5521i	1.57252	−	1.01060i	0.593993	−	0.804470i	$-0.297551\pi$
$337$	28.8676	−	18.5521i	1.57252	−	1.01060i	0.978525	−	0.206126i	$-0.0660858\pi$
$338$	−9.64258	+	2.33927i	−0.524487	+	0.127239i
$339$	22.1116	+	0.115949i	1.20094	+	0.00629749i
$340$	−4.09266	−	5.74734i	−0.221956	−	0.311693i
$341$	−13.2621	+	5.30935i	−0.718184	+	0.287517i
$342$	15.3541	−	2.79258i	0.830254	−	0.151005i
$343$	10.2520	−	15.4239i	0.553554	−	0.832813i
$344$			4.28255i			0.230900i
$345$	4.18053	+	7.09392i	0.225072	+	0.381924i
$346$	10.4939	+	6.05866i	0.564156	+	0.325716i
$347$	6.33532	+	32.8708i	0.340098	+	1.76460i	0.601018	+	0.799236i	$0.294762\pi$
$347$	6.33532	+	32.8708i	0.340098	+	1.76460i	−0.260920	+	0.965360i	$0.584026\pi$
$348$	1.68622	+	4.95594i	0.0903909	+	0.265666i
$349$	−17.8380	−	2.56472i	−0.954849	−	0.137287i	−0.352758	−	0.935714i	$-0.614756\pi$
$349$	−17.8380	−	2.56472i	−0.954849	−	0.137287i	−0.602090	+	0.798428i	$0.705665\pi$
$350$	−3.52801	+	10.0264i	−0.188580	+	0.535934i
$351$	8.70510	+	2.70550i	0.464644	+	0.144409i
$352$	−0.696613	−	2.87148i	−0.0371296	−	0.153050i
$353$	1.22752	+	25.7689i	0.0653345	+	1.37154i	0.758928	+	0.651174i	$0.225723\pi$
$353$	1.22752	+	25.7689i	0.0653345	+	1.37154i	−0.693594	+	0.720367i	$0.743974\pi$
$354$	−2.02168	+	0.582122i	−0.107451	+	0.0309394i
$355$	4.00709	−	4.20251i	0.212674	−	0.223046i
$356$	−3.06185	+	3.53356i	−0.162278	+	0.187278i
$357$	−31.3902	+	8.86392i	−1.66134	+	0.469128i
$358$	−11.8983	+	3.49366i	−0.628845	+	0.184645i
$359$	−19.6998	−	14.0282i	−1.03972	−	0.740379i	−0.0732873	−	0.997311i	$-0.523349\pi$
$359$	−19.6998	−	14.0282i	−1.03972	−	0.740379i	−0.966430	+	0.256932i	$0.917288\pi$
$360$	2.07462	−	2.13061i	0.109342	−	0.112293i
$361$	−5.83381	+	5.56252i	−0.307043	+	0.292764i
$362$	−12.1828	+	9.58062i	−0.640311	+	0.503546i
$363$	3.92515	+	0.207612i	0.206017	+	0.0108968i
$364$	−3.89177	−	2.52946i	−0.203984	−	0.132580i
$365$	−4.77723	+	7.43351i	−0.250052	+	0.389088i
$366$	−26.1544	+	1.10846i	−1.36711	+	0.0579403i
$367$	18.6789	+	10.7843i	0.975029	+	0.562933i	0.900766	−	0.434305i	$-0.143006\pi$
$367$	18.6789	+	10.7843i	0.975029	+	0.562933i	0.0742636	+	0.997239i	$0.476339\pi$
$368$	0.840806	−	4.72155i	0.0438301	−	0.246128i
$369$	−19.2091	−	5.85982i	−0.999988	−	0.305050i
$370$	−1.70570	+	1.47800i	−0.0886751	+	0.0768374i
$371$	−15.8259	+	10.0561i	−0.821640	+	0.522085i
$372$	1.93153	+	8.14814i	0.100145	+	0.422461i
$373$	1.16533	−	0.111276i	0.0603385	−	0.00576163i	−0.0648431	−	0.997895i	$-0.520655\pi$
$373$	1.16533	−	0.111276i	0.0603385	−	0.00576163i	0.125182	+	0.992134i	$0.460049\pi$
$374$	19.5248	+	7.81655i	1.00960	+	0.404184i
$375$	14.0492	+	6.50530i	0.725497	+	0.335932i
$376$	−1.58499	+	3.07445i	−0.0817396	+	0.158553i
$377$	−2.20267	−	4.82317i	−0.113443	−	0.248406i
$378$	−6.04315	−	12.3483i	−0.310826	−	0.635128i
$379$	−5.23884	+	6.04594i	−0.269101	+	0.310559i	−0.874176	−	0.485609i	$-0.838598\pi$
$379$	−5.23884	+	6.04594i	−0.269101	+	0.310559i	0.605075	+	0.796169i	$0.293143\pi$
$380$	−0.975888	+	5.06339i	−0.0500620	+	0.259746i
$381$	4.93468	−	0.683109i	0.252811	−	0.0349967i
$382$	2.79071	+	0.266480i	0.142785	+	0.0136343i
$383$	−28.6686	−	14.7797i	−1.46490	−	0.755206i	−0.472857	−	0.881139i	$-0.656777\pi$
$383$	−28.6686	−	14.7797i	−1.46490	−	0.755206i	−0.992039	+	0.125933i	$0.959807\pi$
$384$	−1.72505	+	0.155598i	−0.0880310	+	0.00794034i
$385$	1.78822	+	7.54018i	0.0911363	+	0.384283i
$386$	9.48169	+	4.33014i	0.482605	+	0.220398i
$387$	5.45938	−	11.6300i	0.277516	−	0.591188i
$388$	1.09512	+	2.12424i	0.0555963	+	0.107842i
$389$	0.663716	+	3.44369i	0.0336518	+	0.174602i	0.994866	−	0.101201i	$-0.0322685\pi$
$389$	0.663716	+	3.44369i	0.0336518	+	0.174602i	−0.961214	+	0.275803i	$0.911056\pi$
$390$	−1.87434	+	2.35786i	−0.0949107	+	0.119395i
$391$	23.9039	+	24.3688i	1.20887	+	1.23239i
$392$	1.25400	+	6.88676i	0.0633364	+	0.347834i
$393$	12.7185	−	24.3561i	0.641566	−	1.22860i
$394$	−0.737270	+	15.4772i	−0.0371431	+	0.779731i
$395$	7.11011	+	5.59145i	0.357748	+	0.281336i
$396$	−1.76877	+	8.68604i	−0.0888841	+	0.436490i
$397$	8.31829	+	10.5776i	0.417483	+	0.530873i	0.948622	−	0.316412i	$-0.102478\pi$
$397$	8.31829	+	10.5776i	0.417483	+	0.530873i	−0.531139	+	0.847285i	$0.678236\pi$
$398$	−22.6273	−	6.64397i	−1.13420	−	0.333032i
$399$	20.5199	+	12.1330i	1.02728	+	0.607411i
$400$	−1.66888	−	3.65434i	−0.0834441	−	0.182717i
$401$	4.25839	−	4.46607i	0.212654	−	0.223025i	−0.608765	−	0.793351i	$-0.708335\pi$
$401$	4.25839	−	4.46607i	0.212654	−	0.223025i	0.821418	+	0.570326i	$0.193183\pi$
$402$	12.8956	+	15.0410i	0.643176	+	0.750177i
$403$	−2.77410	−	8.01524i	−0.138188	−	0.399267i
$404$	−0.123602	−	0.117854i	−0.00614941	−	0.00586345i
$405$	−8.35009	+	3.14132i	−0.414919	+	0.156093i
$406$	−3.01014	+	7.40833i	−0.149391	+	0.367669i
$407$	1.89537	−	6.45502i	0.0939498	−	0.319964i
$408$	6.22006	−	10.6442i	0.307939	−	0.526965i
$409$	11.8368	−	8.42894i	0.585292	−	0.416784i	−0.248685	−	0.968584i	$-0.579998\pi$
$409$	11.8368	−	8.42894i	0.585292	−	0.416784i	0.833976	+	0.551800i	$0.186059\pi$
$410$	4.10204	−	5.21617i	0.202585	−	0.257608i
$411$	−4.57018	−	13.4321i	−0.225430	−	0.662558i
$412$	−10.8671	+	9.41639i	−0.535383	+	0.463912i
$413$	−2.91633	−	1.35001i	−0.143503	−	0.0664296i
$414$	−8.30237	+	11.7503i	−0.408039	+	0.577498i
$415$	−4.73986	−	8.20967i	−0.232670	−	0.402997i
$416$	1.72264	−	0.332012i	0.0844594	−	0.0162782i
$417$	−0.922491	+	1.05340i	−0.0451746	+	0.0515852i
$418$	−5.71270	−	14.2696i	−0.279417	−	0.697951i
$419$	−6.33544	+	13.8727i	−0.309507	+	0.677725i	−0.998911	−	0.0466516i	$-0.985145\pi$
$419$	−6.33544	+	13.8727i	−0.309507	+	0.677725i	0.689405	+	0.724376i	$0.257872\pi$
$420$	4.52624	−	0.384810i	0.220858	−	0.0187768i
$421$	11.7139	+	3.43952i	0.570902	+	0.167632i	0.554427	−	0.832232i	$-0.312938\pi$
$421$	11.7139	+	3.43952i	0.570902	+	0.167632i	0.0164747	+	0.999864i	$0.494756\pi$
$422$	3.39354	−	6.58254i	0.165195	−	0.320433i
$423$	8.22362	−	6.32868i	0.399846	−	0.307711i
$424$	1.67084	−	6.88728i	0.0811429	−	0.334476i
$425$	28.0780	+	5.41160i	1.36198	+	0.262501i
$426$	9.57054	+	3.36870i	0.463694	+	0.163214i
$427$	−31.3047	−	24.8799i	−1.51494	−	1.20402i
$428$	−2.67590	+	1.22204i	−0.129344	+	0.0590696i
$429$	0.900306	−	8.93314i	0.0434672	−	0.431296i
$430$	2.92950	+	3.07237i	0.141273	+	0.148163i
$431$	9.06789	−	22.6505i	0.436785	−	1.09104i	−0.532792	−	0.846246i	$-0.678857\pi$
$431$	9.06789	−	22.6505i	0.436785	−	1.09104i	0.969576	−	0.244789i	$-0.0787187\pi$
$432$	4.88303	+	1.77653i	0.234935	+	0.0854732i
$433$	−18.2270	−	2.62065i	−0.875934	−	0.125940i	−0.310341	−	0.950625i	$-0.600443\pi$
$433$	−18.2270	−	2.62065i	−0.875934	−	0.125940i	−0.565592	+	0.824685i	$0.691352\pi$
$434$	−5.91975	+	11.3392i	−0.284157	+	0.544298i
$435$	4.59985	+	2.40200i	0.220546	+	0.115167i
$436$	−7.60459	−	13.1715i	−0.364194	−	0.630802i
$437$	0.833885	−	24.9339i	0.0398901	−	1.19275i
$438$	−15.2707	−	2.27739i	−0.729663	−	0.108818i
$439$	9.84262	+	3.40656i	0.469763	+	0.162586i	0.551685	−	0.834052i	$-0.313985\pi$
$439$	9.84262	+	3.40656i	0.469763	+	0.162586i	−0.0819229	+	0.996639i	$0.526106\pi$
$440$	−2.46401	−	1.58352i	−0.117467	−	0.0754914i
$441$	5.37376	−	20.3008i	0.255893	−	0.966705i
$442$	−5.18729	+	11.3586i	−0.246734	+	0.540272i
$443$	19.4313	+	24.7089i	0.923208	+	1.17395i	0.984421	+	0.175830i	$0.0562610\pi$
$443$	19.4313	+	24.7089i	0.923208	+	1.17395i	−0.0612121	+	0.998125i	$0.519497\pi$
$444$	−3.57859	−	1.65702i	−0.169832	−	0.0786387i
$445$	0.220530	+	4.62950i	0.0104541	+	0.219459i
$446$	13.2042	−	18.5427i	0.625237	−	0.878023i
$447$	23.1121	−	17.9802i	1.09316	−	0.850434i
$448$	−2.14724	−	1.54575i	−0.101448	−	0.0730298i
$449$	−8.32059	−	7.20983i	−0.392673	−	0.340253i	0.436040	−	0.899927i	$-0.356381\pi$
$449$	−8.32059	−	7.20983i	−0.392673	−	0.340253i	−0.828713	+	0.559674i	$0.810926\pi$
$450$	−0.126395	+	12.0515i	−0.00595833	+	0.568113i
$451$	−1.88023	+	19.6907i	−0.0885366	+	0.927197i
$452$	−12.7518	+	0.607445i	−0.599796	+	0.0285718i
$453$	−24.6473	+	17.3572i	−1.15803	+	0.815511i
$454$	22.5197	−	3.23784i	1.05690	−	0.151959i
$455$	−4.52231	+	0.847508i	−0.212009	+	0.0397318i
$456$	−8.76715	+	2.07827i	−0.410559	+	0.0973239i
$457$	−0.787961	+	16.5413i	−0.0368592	+	0.773771i	0.902470	+	0.430753i	$0.141752\pi$
$457$	−0.787961	+	16.5413i	−0.0368592	+	0.773771i	−0.939329	+	0.343018i	$0.888551\pi$
$458$	−18.2786	+	3.52291i	−0.854102	+	0.164615i
$459$	−30.4608	+	20.9768i	−1.42179	+	0.979113i
$460$	−2.62659	−	3.96247i	−0.122465	−	0.184751i
$461$	−17.1139			−0.797073			−0.398536	−	0.917153i	$-0.630482\pi$
$461$	−17.1139			−0.797073			−0.398536	+	0.917153i	$0.630482\pi$
$462$	−10.7299	+	8.25915i	−0.499199	+	0.384251i
$463$	−9.71323	−	6.24231i	−0.451412	−	0.290105i	0.295113	−	0.955462i	$-0.404643\pi$
$463$	−9.71323	−	6.24231i	−0.451412	−	0.290105i	−0.746525	+	0.665358i	$0.768279\pi$
$464$	−1.12331	−	2.80590i	−0.0521485	−	0.130261i
$465$	6.95948	+	4.52433i	0.322738	+	0.209811i
$466$	−3.15213	−	1.26192i	−0.146019	−	0.0584574i
$467$	−4.95248	−	20.4144i	−0.229174	−	0.944666i	−0.963892	−	0.266294i	$-0.914201\pi$
$467$	−4.95248	−	20.4144i	−0.229174	−	0.944666i	0.734718	−	0.678372i	$-0.237314\pi$
$468$	−5.10138	−	1.29438i	−0.235811	−	0.0598326i
$469$	−0.155628	+	30.2635i	−0.00718623	+	1.39744i
$470$	0.965996	+	3.28988i	0.0445581	+	0.151751i
$471$	−28.1004	+	5.26324i	−1.29480	+	0.242517i
$472$	1.14784	−	0.397270i	0.0528335	−	0.0182859i
$473$	−12.2973	−	2.98328i	−0.565428	−	0.137171i
$474$	−3.80665	+	15.3397i	−0.174845	+	0.704575i
$475$	−11.2985	−	17.5809i	−0.518412	−	0.806665i
$476$	17.8275	−	6.06769i	0.817123	−	0.278112i
$477$	−13.3173	+	16.5736i	−0.609758	+	0.758855i
$478$	−14.8789	+	1.42077i	−0.680547	+	0.0649843i
$479$	12.3411	+	9.70519i	0.563881	+	0.443441i	0.858968	−	0.512029i	$-0.171106\pi$
$479$	12.3411	+	9.70519i	0.563881	+	0.443441i	−0.295087	+	0.955471i	$0.595348\pi$
$480$	−1.13114	+	1.29165i	−0.0516292	+	0.0589557i
$481$	3.77468	+	1.30643i	0.172110	+	0.0595680i
$482$	21.5049			0.979521
$483$	−21.3380	+	5.26208i	−0.970913	+	0.239433i
$484$	−2.26935			−0.103152
$485$	2.23875	+	0.774838i	0.101656	+	0.0351836i
$486$	−10.9960	−	11.0493i	−0.498789	−	0.501208i
$487$	18.7874	+	14.7746i	0.851338	+	0.669500i	0.945345	−	0.326072i	$-0.105725\pi$
$487$	18.7874	+	14.7746i	0.851338	+	0.669500i	−0.0940068	+	0.995572i	$0.529968\pi$
$488$	15.0454	−	1.43666i	0.681073	−	0.0650346i
$489$	−9.21817	+	5.25786i	−0.416860	+	0.237768i
$490$	5.61056	+	4.08287i	0.253459	+	0.184445i
$491$	22.1671	+	34.4927i	1.00039	+	1.55663i	0.819458	+	0.573139i	$0.194274\pi$
$491$	22.1671	+	34.4927i	1.00039	+	1.55663i	0.180930	+	0.983496i	$0.442089\pi$
$492$	11.2536	+	2.79266i	0.507352	+	0.125903i
$493$	20.9063	+	5.07181i	0.941572	+	0.228423i
$494$	8.62415	−	2.98485i	0.388019	−	0.134295i
$495$	4.67278	+	7.44144i	0.210026	+	0.334468i
$496$	−1.36209	−	4.63886i	−0.0611597	−	0.208291i
$497$	7.68009	+	13.4617i	0.344499	+	0.603840i
$498$	9.67865	−	13.4420i	0.433711	−	0.602352i
$499$	5.64133	+	23.2539i	0.252541	+	1.04099i	0.946943	+	0.321400i	$0.104154\pi$
$499$	5.64133	+	23.2539i	0.252541	+	1.04099i	−0.694403	+	0.719587i	$0.744331\pi$
$500$	−8.29836	−	3.32216i	−0.371114	−	0.148572i
$501$	−10.4877	+	16.1325i	−0.468556	+	0.720749i
$502$	5.04999	+	12.6143i	0.225392	+	0.563002i
$503$	26.2908	+	16.8961i	1.17225	+	0.753359i	0.973946	−	0.226782i	$-0.0728205\pi$
$503$	26.2908	+	16.8961i	1.17225	+	0.753359i	0.198303	+	0.980141i	$0.436457\pi$
$504$	3.86071	+	6.93505i	0.171970	+	0.308912i
$505$	−0.169292			−0.00753340
$506$	12.9721	+	5.70345i	0.576681	+	0.253549i
$507$	−16.9979	−	2.53497i	−0.754903	−	0.112582i
$508$	−2.82423	+	0.544326i	−0.125305	+	0.0241506i
$509$	0.426913	−	8.96201i	0.0189226	−	0.397234i	−0.969460	−	0.245249i	$-0.921130\pi$
$509$	0.426913	−	8.96201i	0.0189226	−	0.397234i	0.988383	−	0.151985i	$-0.0485666\pi$
$510$	−2.81882	−	11.8911i	−0.124819	−	0.526549i
$511$	−15.3526	−	17.9031i	−0.679160	−	0.791985i
$512$	0.989821	−	0.142315i	0.0437443	−	0.00628949i
$513$	26.4581	+	5.53241i	1.16815	+	0.244262i
$514$	13.3716	−	0.636967i	0.589796	−	0.0280954i
$515$	−1.35490	+	14.1891i	−0.0597040	+	0.625248i
$516$	−2.79292	+	6.87171i	−0.122951	+	0.302510i
$517$	−7.72409	−	6.69297i	−0.339705	−	0.294356i
$518$	−2.47423	−	5.49238i	−0.108711	−	0.241321i
$519$	12.8871	+	16.5653i	0.565682	+	0.727138i
$520$	1.00874	−	1.41657i	0.0442360	−	0.0621207i
$521$	−1.39709	−	29.3284i	−0.0612074	−	1.28490i	−0.795452	−	0.606017i	$-0.792766\pi$
$521$	−1.39709	−	29.3284i	−0.0612074	−	1.28490i	0.734245	−	0.678885i	$-0.237537\pi$
$522$	−0.526394	+	9.05191i	−0.0230396	+	0.396191i
$523$	−19.2997	−	24.5416i	−0.843918	−	1.07313i	−0.996396	−	0.0848221i	$-0.972968\pi$
$523$	−19.2997	−	24.5416i	−0.843918	−	1.07313i	0.152478	−	0.988307i	$-0.451275\pi$
$524$	−6.59006	+	14.4302i	−0.287888	+	0.630387i
$525$	−12.1998	+	13.7874i	−0.532444	+	0.601730i
$526$	−9.15422	−	5.88306i	−0.399143	−	0.256514i
$527$	32.5196	+	11.2551i	1.41658	+	0.490281i
$528$	0.754893	−	5.06183i	0.0328525	−	0.220288i
$529$	15.5482	+	16.9485i	0.676011	+	0.736892i
$530$	−3.51259	−	6.08398i	−0.152577	−	0.264271i
$531$	−3.62359	−	0.384400i	−0.157251	−	0.0166815i
$532$	−12.2006	−	6.36948i	−0.528963	−	0.276152i
$533$	−11.6247	−	1.67137i	−0.503520	−	0.0723952i
$534$	−7.21744	+	3.67307i	−0.312329	+	0.158949i
$535$	−1.08379	+	2.70717i	−0.0468562	+	0.117041i
$536$	−7.89358	−	8.27855i	−0.340951	−	0.357579i
$537$	−21.3702	−	2.15375i	−0.922194	−	0.0929412i
$538$	19.0342	−	8.69264i	0.820624	−	0.374766i
$539$	−20.6487	−	1.19658i	−0.889404	−	0.0515404i
$540$	4.71840	−	2.06575i	0.203048	−	0.0888956i
$541$	25.5795	+	4.93005i	1.09975	+	0.211959i	0.706669	−	0.707545i	$-0.250197\pi$
$541$	25.5795	+	4.93005i	1.09975	+	0.211959i	0.393081	+	0.919504i	$0.371409\pi$
$542$	2.06458	−	8.51032i	0.0886814	−	0.365550i
$543$	−25.7963	+	7.42778i	−1.10703	+	0.318757i
$544$	−3.26155	+	6.32652i	−0.139838	+	0.271247i
$545$	−14.4657	−	4.24751i	−0.619643	−	0.181943i
$546$	−4.59505	−	6.59679i	−0.196650	−	0.282317i
$547$	−4.72969	+	10.3566i	−0.202227	+	0.442815i	−0.983388	−	0.181514i	$-0.941900\pi$
$547$	−4.72969	+	10.3566i	−0.202227	+	0.442815i	0.781162	+	0.624329i	$0.214628\pi$
$548$	3.04452	+	7.60485i	0.130056	+	0.324863i
$549$	−42.6898	−	15.2783i	−1.82196	−	0.652061i
$550$	11.6559	−	2.24649i	0.497010	−	0.0957909i
$551$	−7.86125	−	13.6161i	−0.334900	−	0.580065i
$552$	4.42836	−	7.02778i	0.188483	−	0.299122i
$553$	−19.7376	+	13.9027i	−0.839329	+	0.591202i
$554$	−9.35908	+	8.10969i	−0.397629	+	0.344548i
$555$	−3.70083	+	1.25918i	−0.157091	+	0.0534491i
$556$	0.499734	−	0.635463i	0.0211934	−	0.0269496i
$557$	23.5304	−	16.7559i	0.997013	−	0.709970i	0.0397565	−	0.999209i	$-0.487342\pi$
$557$	23.5304	−	16.7559i	0.997013	−	0.709970i	0.957257	+	0.289239i	$0.0934024\pi$
$558$	−2.21460	+	14.3340i	−0.0937513	+	0.606808i
$559$	2.11668	−	7.20874i	0.0895259	−	0.304897i
$560$	−2.59784	+	0.359888i	−0.109779	+	0.0152080i
$561$	26.2315	+	25.2756i	1.10749	+	1.06714i
$562$	−10.8536	−	10.3489i	−0.457831	−	0.436541i
$563$	−1.87541	−	5.41863i	−0.0790390	−	0.228368i	0.898558	−	0.438856i	$-0.144616\pi$
$563$	−1.87541	−	5.41863i	−0.0790390	−	0.228368i	−0.977597	+	0.210488i	$0.932495\pi$
$564$	−4.54829	+	3.89954i	−0.191517	+	0.164200i
$565$	−8.73284	+	9.15874i	−0.367393	+	0.385311i
$566$	6.92515	+	15.1640i	0.291086	+	0.637389i
$567$	−1.64366	−	23.7550i	−0.0690274	−	0.997615i
$568$	−5.62057	−	1.65035i	−0.235834	−	0.0692471i
$569$	−29.0542	−	36.9454i	−1.21802	−	1.54883i	−0.743761	−	0.668445i	$-0.766960\pi$
$569$	−29.0542	−	36.9454i	−1.21802	−	1.54883i	−0.474255	−	0.880388i	$-0.657282\pi$
$570$	−4.86804	+	7.48819i	−0.203900	+	0.313646i
$571$	18.3785	+	14.4530i	0.769116	+	0.604840i	0.923690	−	0.383142i	$-0.125158\pi$
$571$	18.3785	+	14.4530i	0.769116	+	0.604840i	−0.154574	+	0.987981i	$0.549400\pi$
$572$	−0.246649	+	5.17781i	−0.0103129	+	0.216495i
$573$	4.30413	+	2.24758i	0.179808	+	0.0938941i
$574$	10.1994	+	14.4801i	0.425715	+	0.604386i
$575$	18.7861	+	4.27656i	0.783434	+	0.178345i
$576$	−2.86946	−	0.875339i	−0.119561	−	0.0364725i
$577$	−8.21332	−	42.6147i	−0.341925	−	1.77407i	−0.592091	−	0.805871i	$-0.701697\pi$
$577$	−8.21332	−	42.6147i	−0.341925	−	1.77407i	0.250166	−	0.968203i	$-0.419515\pi$
$578$	−15.4250	−	29.9204i	−0.641597	−	1.24452i
$579$	12.3902	+	13.1317i	0.514919	+	0.545733i
$580$	−2.72527	−	1.24459i	−0.113161	−	0.0516787i
$581$	24.6190	−	5.83862i	1.02137	−	0.242227i
$582$	0.371866	+	4.12271i	0.0154143	+	0.170892i
$583$	18.6127	+	9.59553i	0.770860	+	0.397406i
$584$	8.87369	+	0.847335i	0.367196	+	0.0350630i
$585$	−4.54524	+	2.56102i	−0.187922	+	0.105885i
$586$	1.42329	−	7.38475i	0.0587957	−	0.305061i
$587$	19.2812	−	22.2517i	0.795822	−	0.918428i	−0.202322	−	0.979319i	$-0.564849\pi$
$587$	19.2812	−	22.2517i	0.795822	−	0.918428i	0.998144	+	0.0608913i	$0.0193943\pi$
$588$	−2.47914	+	11.8682i	−0.102238	+	0.489436i
$589$	−10.4477	−	22.8773i	−0.430491	−	0.942643i
$590$	0.551722	−	1.07019i	0.0227140	−	0.0440591i
$591$	−11.2766	+	24.3536i	−0.463859	+	1.00178i
$592$	2.11375	+	0.846217i	0.0868745	+	0.0347793i
$593$	29.9618	−	2.86101i	1.23039	−	0.117488i	0.540461	−	0.841369i	$-0.318250\pi$
$593$	29.9618	−	2.86101i	1.23039	−	0.117488i	0.689924	+	0.723882i	$0.257644\pi$
$594$	−8.50284	+	12.7839i	−0.348876	+	0.524532i
$595$	8.63911	−	16.5480i	0.354169	−	0.678404i
$596$	−12.7768	+	11.0712i	−0.523359	+	0.453493i
$597$	−31.9744	−	25.4174i	−1.30863	−	1.04027i
$598$	−3.74897	+	7.53212i	−0.153307	+	0.308011i
$599$	−21.6210	−	12.4829i	−0.883408	−	0.510036i	−0.0116278	−	0.999932i	$-0.503701\pi$
$599$	−21.6210	−	12.4829i	−0.883408	−	0.510036i	−0.871781	+	0.489896i	$0.837035\pi$
$600$	−0.294639	−	6.95207i	−0.0120286	−	0.283817i
$601$	−7.28184	+	11.3308i	−0.297033	+	0.462192i	−0.957406	−	0.288746i	$-0.906762\pi$
$601$	−7.28184	+	11.3308i	−0.297033	+	0.462192i	0.660373	+	0.750938i	$0.270398\pi$
$602$	−10.0976	+	5.14011i	−0.411547	+	0.209495i
$603$	10.8830	+	32.5446i	0.443188	+	1.32532i
$604$	13.6809	−	10.7588i	0.556669	−	0.437769i
$605$	−1.62807	+	1.55236i	−0.0661904	+	0.0631124i
$606$	−0.121469	−	0.269714i	−0.00493435	−	0.0109564i
$607$	3.40995	+	2.42822i	0.138406	+	0.0985583i	0.647163	−	0.762352i	$-0.275955\pi$
$607$	3.40995	+	2.42822i	0.138406	+	0.0985583i	−0.508757	+	0.860910i	$0.669895\pi$
$608$	4.99127	−	1.46557i	0.202423	−	0.0594367i
$609$	−9.66145	+	9.92418i	−0.391502	+	0.402148i
$610$	9.81104	−	11.3225i	0.397237	−	0.458436i
$611$	4.18755	−	4.39178i	0.169410	−	0.177672i
$612$	16.9223	−	13.0230i	0.684044	−	0.526422i
$613$	−0.652047	−	13.6882i	−0.0263359	−	0.552860i	−0.973023	−	0.230706i	$-0.925896\pi$
$613$	−0.652047	−	13.6882i	−0.0263359	−	0.552860i	0.946688	−	0.322153i	$-0.104407\pi$
$614$	3.48458	+	14.3636i	0.140626	+	0.579669i
$615$	9.98385	−	5.69459i	0.402588	−	0.229628i
$616$	5.93438	−	5.08898i	0.239103	−	0.205041i
$617$	−40.1574	−	5.77377i	−1.61668	−	0.232443i	−0.726204	−	0.687479i	$-0.758717\pi$
$617$	−40.1574	−	5.77377i	−1.61668	−	0.232443i	−0.890473	+	0.455036i	$0.849627\pi$
$618$	−23.5781	+	8.02228i	−0.948452	+	0.322703i
$619$	5.83170	+	30.2577i	0.234396	+	1.21616i	0.888186	+	0.459485i	$0.151966\pi$
$619$	5.83170	+	30.2577i	0.234396	+	1.21616i	−0.653790	+	0.756676i	$0.726822\pi$
$620$	−4.15042	−	2.39625i	−0.166685	−	0.0962355i
$621$	−20.9850	+	13.4399i	−0.842097	+	0.539325i
$622$			24.2314i			0.971592i
$623$	−12.0065	−	2.97821i	−0.481032	−	0.119320i
$624$	2.98064	+	0.590699i	0.119321	+	0.0236469i
$625$	10.4221	−	4.17239i	0.416886	−	0.166896i
$626$	−7.44738	−	10.4584i	−0.297657	−	0.418001i
$627$	0.139603	−	26.6224i	0.00557521	−	1.06320i
$628$	16.0407	−	3.89142i	0.640092	−	0.155285i
$629$	−13.6334	+	8.76163i	−0.543598	+	0.349349i
$630$	7.51368	+	2.33438i	0.299352	+	0.0930039i
$631$	13.4420	−	3.94693i	0.535119	−	0.157125i	−0.00299785	−	0.999996i	$-0.500954\pi$
$631$	13.4420	−	3.94693i	0.535119	−	0.157125i	0.538116	+	0.842871i	$0.319136\pi$
$632$	1.72692	−	8.96009i	0.0686930	−	0.356413i
$633$	9.73809	−	8.34910i	0.387054	−	0.331847i
$634$	2.90034	−	11.9554i	0.115187	−	0.474808i
$635$	−1.65380	+	2.32244i	−0.0656290	+	0.0921631i
$636$	7.17261	−	9.96155i	0.284412	−	0.395001i
$637$	1.29299	−	12.2122i	0.0512302	−	0.483863i
$638$	8.83959	−	1.27094i	0.349963	−	0.0503170i
$639$	13.1598	+	11.6469i	0.520593	+	0.460744i
$640$	0.612762	−	0.779191i	0.0242216	−	0.0308002i
$641$	11.7680	+	22.8267i	0.464808	+	0.901602i	0.998437	+	0.0558831i	$0.0177974\pi$
$641$	11.7680	+	22.8267i	0.464808	+	0.901602i	−0.533629	+	0.845718i	$0.679172\pi$
$642$	−5.09067	+	0.215750i	−0.200913	+	0.00851497i
$643$			31.8185i			1.25480i	0.778698	+	0.627399i	$0.215880\pi$
$643$			31.8185i			1.25480i	−0.778698	+	0.627399i	$0.784120\pi$
$644$	12.1418	−	3.68453i	0.478455	−	0.145191i
$645$	2.69694	+	6.84038i	0.106192	+	0.269340i
$646$	−12.1102	+	34.9901i	−0.476469	+	1.37667i
$647$	−10.2581	+	5.28842i	−0.403288	+	0.207909i	−0.647923	−	0.761706i	$-0.724362\pi$
$647$	−10.2581	+	5.28842i	−0.403288	+	0.207909i	0.244635	+	0.969615i	$0.421332\pi$
$648$	6.67664	+	6.03511i	0.262283	+	0.237081i
$649$	0.341155	+	3.57273i	0.0133915	+	0.140242i
$650$	1.00302	+	6.97614i	0.0393416	+	0.273627i
$651$	−16.8937	+	14.3340i	−0.662116	+	0.561794i
$652$	5.15435	−	3.31250i	0.201860	−	0.129727i
$653$	−32.0345	−	22.8117i	−1.25361	−	0.892689i	−0.256341	−	0.966587i	$-0.582517\pi$
$653$	−32.0345	−	22.8117i	−1.25361	−	0.892689i	−0.997266	+	0.0738975i	$0.976456\pi$
$654$	−3.61223	−	26.0942i	−0.141249	−	1.02037i
$655$	5.14325	+	14.8604i	0.200963	+	0.580645i
$656$	−6.57337	−	1.26691i	−0.256647	−	0.0494647i
$657$	−23.0179	−	13.6132i	−0.898014	−	0.531103i
$658$	−9.15145	−	0.0470607i	−0.356760	−	0.00183462i
$659$	−15.5473	−	24.1920i	−0.605636	−	0.942388i	−0.999728	−	0.0233172i	$-0.992577\pi$
$659$	−15.5473	−	24.1920i	−0.605636	−	0.942388i	0.394092	−	0.919071i	$-0.371059\pi$
$660$	−2.92099	−	4.14782i	−0.113699	−	0.161454i
$661$	12.6127	−	31.5051i	0.490579	−	1.22541i	−0.452178	−	0.891927i	$-0.649353\pi$
$661$	12.6127	−	31.5051i	0.490579	−	1.22541i	0.942757	−	0.333479i	$-0.108223\pi$
$662$	0.936415	−	0.666818i	0.0363948	−	0.0259166i
$663$	−15.7310	+	14.8428i	−0.610943	+	0.576447i
$664$	−5.17026	+	8.04508i	−0.200645	+	0.312210i
$665$	−13.1100	+	3.77632i	−0.508383	+	0.146439i
$666$	−4.66150	−	4.99264i	−0.180629	−	0.193461i
$667$	13.9642	+	3.88623i	0.540697	+	0.150476i
$668$	5.55466	−	9.62095i	0.214916	−	0.372246i
$669$	33.2801	−	21.1420i	1.28668	−	0.817398i
$670$	−11.3260	−	0.539522i	−0.437560	−	0.0208436i
$671$	−6.35547	+	44.2033i	−0.245350	+	1.70645i
$672$	−2.43735	−	3.88063i	−0.0940230	−	0.149699i
$673$	6.76424	+	47.0463i	0.260742	+	1.81350i	0.527296	+	0.849682i	$0.323206\pi$
$673$	6.76424	+	47.0463i	0.260742	+	1.81350i	−0.266554	+	0.963820i	$0.585885\pi$
$674$	−33.3477	+	8.09007i	−1.28451	+	0.311618i
$675$	−8.06233	+	19.2552i	−0.310319	+	0.741132i
$676$	9.87735	+	0.943172i	0.379898	+	0.0362759i
$677$	3.98641	+	3.80103i	0.153210	+	0.146086i	0.762808	−	0.646626i	$-0.223820\pi$
$677$	3.98641	+	3.80103i	0.153210	+	0.146086i	−0.609597	+	0.792711i	$0.708669\pi$
$678$	−20.8575	−	7.34156i	−0.801029	−	0.281951i
$679$	−3.69420	+	5.13172i	−0.141770	+	0.196937i
$680$	1.98780	+	6.76981i	0.0762285	+	0.259611i
$681$	38.2463	+	9.49108i	1.46560	+	0.363699i
$682$	14.2692	−	0.679727i	0.546397	−	0.0260281i
$683$	20.4090	+	21.4043i	0.780928	+	0.819014i	0.987201	−	0.159480i	$-0.0509819\pi$
$683$	20.4090	+	21.4043i	0.780928	+	0.819014i	−0.206273	+	0.978495i	$0.566133\pi$
$684$	−15.4230	−	2.38284i	−0.589713	−	0.0911101i
$685$	7.38632	+	3.37322i	0.282217	+	0.128884i
$686$	−14.7328	+	11.2225i	−0.562500	+	0.428478i
$687$	−31.6270	−	6.26779i	−1.20665	−	0.239131i
$688$	1.40069	−	4.04702i	0.0534007	−	0.154291i
$689$	−6.21656	+	10.7674i	−0.236832	+	0.410205i
$690$	−1.63041	−	8.07107i	−0.0620687	−	0.307261i
$691$	32.3109	−	18.6547i	1.22917	−	0.709659i	0.262310	−	0.964984i	$-0.415516\pi$
$691$	32.3109	−	18.6547i	1.22917	−	0.709659i	0.966855	+	0.255325i	$0.0821824\pi$
$692$	−7.93516	−	9.15766i	−0.301650	−	0.348122i
$693$	−22.6033	+	6.25489i	−0.858627	+	0.237604i
$694$	4.76409	−	33.1350i	0.180843	−	1.25779i
$695$	−0.0761745	−	0.797736i	−0.00288947	−	0.0302598i
$696$	0.0274508	−	5.23488i	0.00104052	−	0.198428i
$697$	34.4850	−	32.8814i	1.30621	−	1.24547i
$698$	16.0181	+	8.25792i	0.606295	+	0.312567i
$699$	−4.23487	−	4.08055i	−0.160178	−	0.154341i
$700$	6.61329	−	8.32106i	0.249959	−	0.314507i
$701$	19.6859	+	17.0579i	0.743525	+	0.644268i	0.941914	−	0.335855i	$-0.109025\pi$
$701$	19.6859	+	17.0579i	0.743525	+	0.644268i	−0.198388	+	0.980123i	$0.563571\pi$
$702$	−7.34145	−	5.40386i	−0.277085	−	0.203956i
$703$	11.5102	+	2.79235i	0.434117	+	0.105316i
$704$	−0.280868	+	2.94139i	−0.0105856	+	0.110858i
$705$	−0.595512	+	5.90887i	−0.0224283	+	0.222541i
$706$	7.26817	−	24.7531i	0.273541	−	0.931596i
$707$	0.129529	−	0.432886i	0.00487142	−	0.0162804i
$708$	2.10088	+	0.111122i	0.0789561	+	0.00417622i
$709$	24.0207	−	9.61642i	0.902115	−	0.361152i	0.126211	−	0.992003i	$-0.459718\pi$
$709$	24.0207	−	9.61642i	0.902115	−	0.361152i	0.775904	+	0.630851i	$0.217294\pi$
$710$	−5.16121	+	2.66079i	−0.193697	+	0.0998576i
$711$	−16.1120	+	22.1312i	−0.604248	+	0.829987i
$712$	4.04916	−	2.33778i	0.151749	−	0.0876122i
$713$	21.6454	+	8.31168i	0.810628	+	0.311275i
$714$	32.5628	+	1.89031i	1.21863	+	0.0707431i
$715$	3.36495	+	3.88336i	0.125842	+	0.145229i
$716$	12.3866	+	0.590045i	0.462908	+	0.0220510i
$717$	−24.8010	−	7.42373i	−0.926212	−	0.277244i
$718$	14.0282	+	19.6998i	0.523527	+	0.735191i
$719$	9.36902	−	7.36788i	0.349405	−	0.274775i	−0.427996	−	0.903781i	$-0.640780\pi$
$719$	9.36902	−	7.36788i	0.349405	−	0.274775i	0.777401	+	0.629005i	$0.216538\pi$
$720$	−2.65737	+	1.33488i	−0.0990344	+	0.0497481i
$721$	−35.2455	−	14.3209i	−1.31261	−	0.533338i
$722$	7.33228	−	3.34854i	0.272879	−	0.124620i
$723$	34.5064	+	14.0247i	1.28331	+	0.521582i
$724$	14.6462	−	5.06911i	0.544323	−	0.188392i
$725$	11.4743	−	3.97131i	0.426146	−	0.147491i
$726$	−3.64136	−	1.47998i	−0.135144	−	0.0549273i
$727$	−17.4340	+	7.96184i	−0.646591	+	0.295288i	−0.711588	−	0.702597i	$-0.752024\pi$
$727$	−17.4340	+	7.96184i	−0.646591	+	0.295288i	0.0649966	+	0.997885i	$0.479296\pi$
$728$	2.85042	+	3.66322i	0.105644	+	0.135768i
$729$	−10.4381	−	24.9007i	−0.386595	−	0.922250i
$730$	6.94575	−	5.46220i	0.257074	−	0.202165i
$731$	17.6814	+	24.8300i	0.653970	+	0.918373i
$732$	25.0785	+	7.50678i	0.926928	+	0.277459i
$733$	33.7525	+	1.60783i	1.24668	+	0.0593865i	0.660518	−	0.750810i	$-0.270337\pi$
$733$	33.7525	+	1.60783i	1.24668	+	0.0593865i	0.586158	+	0.810197i	$0.300640\pi$
$734$	−14.1244	−	16.3004i	−0.521340	−	0.601658i
$735$	6.33991	+	10.2103i	0.233851	+	0.376612i
$736$	−2.33883	+	4.18687i	−0.0862104	+	0.154330i
$737$	29.2704	−	16.8993i	1.07819	−	0.622494i
$738$	16.2361	+	11.8202i	0.597659	+	0.435109i
$739$	−30.8101	+	15.8837i	−1.13337	+	0.584291i	−0.919703	−	0.392616i	$-0.871570\pi$
$739$	−30.8101	+	15.8837i	−1.13337	+	0.584291i	−0.213665	+	0.976907i	$0.568540\pi$
$740$	2.09529	−	0.838829i	0.0770245	−	0.0308360i
$741$	15.7848	+	0.834902i	0.579868	+	0.0306709i
$742$	18.2445	−	4.32685i	0.669777	−	0.158844i
$743$	−2.34370	+	7.98190i	−0.0859819	+	0.292828i	−0.991247	−	0.132019i	$-0.957854\pi$
$743$	−2.34370	+	7.98190i	−0.0859819	+	0.292828i	0.905265	+	0.424847i	$0.139672\pi$
$744$	0.839695	−	8.33174i	0.0307847	−	0.305456i
$745$	−1.59300	+	16.6827i	−0.0583631	+	0.611206i
$746$	−1.13763	−	0.275987i	−0.0416517	−	0.0101046i
$747$	24.2966	−	15.2568i	0.888965	−	0.558217i
$748$	−15.8944	−	13.7726i	−0.581157	−	0.503576i
$749$	−6.09311	−	4.84259i	−0.222637	−	0.176944i
$750$	−11.1488	−	10.7426i	−0.407098	−	0.392263i
$751$	−19.5960	−	10.1025i	−0.715069	−	0.368644i	0.0619854	−	0.998077i	$-0.480257\pi$
$751$	−19.5960	−	10.1025i	−0.715069	−	0.368644i	−0.777055	+	0.629433i	$0.783287\pi$
$752$	2.50337	−	2.38696i	0.0912886	−	0.0870435i
$753$	−0.123408	+	23.5340i	−0.00449725	+	0.857628i
$754$	0.504018	+	5.27832i	0.0183553	+	0.192225i
$755$	2.45531	−	17.0770i	0.0893577	−	0.621497i
$756$	1.67205	+	13.6457i	0.0608120	+	0.496288i
$757$	−24.4984	−	28.2727i	−0.890410	−	1.02759i	−0.999437	−	0.0335491i	$-0.989319\pi$
$757$	−24.4984	−	28.2727i	−0.890410	−	1.02759i	0.109027	−	0.994039i	$-0.465226\pi$
$758$	6.92814	−	3.99996i	0.251641	−	0.145285i
$759$	17.0953	+	17.6116i	0.620518	+	0.639259i
$760$	2.57829	−	4.46573i	0.0935243	−	0.161989i
$761$	−0.290497	+	0.839335i	−0.0105305	+	0.0304259i	−0.950144	−	0.311813i	$-0.899064\pi$
$761$	−0.290497	+	0.839335i	−0.0105305	+	0.0304259i	0.939613	+	0.342239i	$0.111185\pi$
$762$	−4.88670	−	0.968438i	−0.177027	−	0.0350828i
$763$	21.9290	−	33.7395i	0.793884	−	1.22145i
$764$	−2.55006	−	1.16458i	−0.0922581	−	0.0421329i
$765$	3.23192	−	20.9187i	0.116850	−	0.756316i
$766$	22.2579	+	23.3434i	0.804209	+	0.843430i
$767$	−2.12849	+	0.101392i	−0.0768552	+	0.00366106i
$768$	1.68106	+	0.417167i	0.0606601	+	0.0150532i
$769$	5.57281	+	18.9793i	0.200961	+	0.684409i	0.996875	+	0.0789996i	$0.0251726\pi$
$769$	5.57281	+	18.9793i	0.200961	+	0.684409i	−0.795914	+	0.605410i	$0.793009\pi$
$770$	0.776280	−	7.71035i	0.0279752	−	0.277862i
$771$	21.8712	+	7.69837i	0.787673	+	0.277250i
$772$	−7.54396	−	7.19315i	−0.271513	−	0.258887i
$773$	−7.27097	−	0.694294i	−0.261519	−	0.0249720i	−0.0365269	−	0.999333i	$-0.511629\pi$
$773$	−7.27097	−	0.694294i	−0.261519	−	0.0249720i	−0.224992	+	0.974361i	$0.572236\pi$
$774$	−8.96293	+	9.20480i	−0.322166	+	0.330860i
$775$	18.8753	−	4.57911i	0.678023	−	0.164486i
$776$	−0.340119	−	2.36558i	−0.0122096	−	0.0849195i
$777$	−0.388191	−	10.4266i	−0.0139263	−	0.374051i
$778$	0.499107	−	3.47137i	0.0178939	−	0.124455i
$779$	−34.7845	−	1.65699i	−1.24628	−	0.0593678i
$780$	2.54243	−	1.61515i	0.0910336	−	0.0578315i
$781$	8.65429	−	14.9897i	0.309675	−	0.536373i
$782$	−14.6189	−	30.8468i	−0.522772	−	1.10308i
$783$	−6.74795	+	14.1812i	−0.241152	+	0.506796i
$784$	1.06741	−	6.91814i	0.0381218	−	0.247076i
$785$	8.84587	−	13.7644i	0.315723	−	0.491274i
$786$	−19.9851	+	18.8567i	−0.712846	+	0.672597i
$787$	−8.20741	+	5.84447i	−0.292562	+	0.208333i	−0.716908	−	0.697167i	$-0.754443\pi$
$787$	−8.20741	+	5.84447i	−0.292562	+	0.208333i	0.424346	+	0.905500i	$0.360504\pi$
$788$	5.75882	−	14.3848i	0.205149	−	0.512439i
$789$	−10.8520	−	15.4099i	−0.386341	−	0.548606i
$790$	−4.89027	−	7.60942i	−0.173988	−	0.270731i
$791$	−16.7376	−	29.3377i	−0.595120	−	1.04313i
$792$	4.51242	−	7.62981i	0.160342	−	0.271113i
$793$	−26.0357	−	5.01797i	−0.924554	−	0.178193i
$794$	−4.40121	−	12.7165i	−0.156193	−	0.451290i
$795$	−1.66850	−	12.0530i	−0.0591757	−	0.427477i
$796$	19.2098	+	13.6792i	0.680872	+	0.484847i
$797$	12.3953	−	7.96595i	0.439063	−	0.282169i	−0.302376	−	0.953189i	$-0.597780\pi$
$797$	12.3953	−	7.96595i	0.439063	−	0.282169i	0.741439	+	0.671020i	$0.234144\pi$
$798$	−15.4230	−	18.1771i	−0.545967	−	0.643463i
$799$	3.50380	+	24.3695i	0.123956	+	0.862131i
$800$	0.381877	+	3.99919i	0.0135014	+	0.141393i
$801$	−13.9764	+	1.18681i	−0.493832	+	0.0419340i
$802$	−5.48489	+	2.82766i	−0.193678	+	0.0998481i
$803$	−8.61463	+	24.8903i	−0.304004	+	0.878361i
$804$	−7.26696	−	18.4315i	−0.256286	−	0.650029i
$805$	6.19033	−	10.9490i	0.218180	−	0.385902i
$806$			8.48173i			0.298756i
$807$	36.2110	−	1.53468i	1.27469	−	0.0540231i
$808$	0.0782573	+	0.151798i	0.00275308	+	0.00534024i
$809$	4.01778	−	5.10903i	0.141258	−	0.179624i	−0.710277	−	0.703923i	$-0.751430\pi$
$809$	4.01778	−	5.10903i	0.141258	−	0.179624i	0.851534	+	0.524299i	$0.175673\pi$
$810$	8.91826	−	0.237503i	0.313356	−	0.00834501i
$811$	−2.93363	+	0.421792i	−0.103014	+	0.0148111i	−0.193629	−	0.981075i	$-0.562026\pi$
$811$	−2.93363	+	0.421792i	−0.103014	+	0.0148111i	0.0906152	+	0.995886i	$0.471117\pi$
$812$	5.26761	−	6.01636i	0.184857	−	0.211133i
$813$	8.86289	−	12.3091i	0.310835	−	0.431698i
$814$	−3.90235	+	5.48009i	−0.136777	+	0.192077i
$815$	1.43188	−	5.90229i	0.0501566	−	0.206748i
$816$	−9.35933	+	8.02436i	−0.327642	+	0.280909i
$817$	4.21610	−	21.8752i	0.147503	−	0.765317i
$818$	−13.9426	+	4.09392i	−0.487492	+	0.143141i
$819$	−3.07097	−	13.5818i	−0.107308	−	0.474587i
$820$	−5.58248	+	3.58764i	−0.194949	+	0.125286i
$821$	−14.4329	+	3.50137i	−0.503710	+	0.122199i	−0.479559	−	0.877510i	$-0.659203\pi$
$821$	−14.4329	+	3.50137i	−0.503710	+	0.122199i	−0.0241509	+	0.999708i	$0.507688\pi$
$822$	−0.0744000	+	14.1881i	−0.00259500	+	0.494868i
$823$	−24.8926	−	34.9568i	−0.867702	−	1.21852i	−0.974534	−	0.224239i	$-0.928010\pi$
$823$	−24.8926	−	34.9568i	−0.867702	−	1.21852i	0.106833	−	0.994277i	$-0.465929\pi$
$824$	13.3492	−	5.34422i	0.465042	−	0.186175i
$825$	20.1680	+	3.99685i	0.702158	+	0.139153i
$826$	2.31439	+	2.22960i	0.0805278	+	0.0775776i
$827$		−	26.0503i		−	0.905859i	−0.891546	−	0.452930i	$-0.850379\pi$
$827$		−	26.0503i		−	0.905859i	0.891546	−	0.452930i	$-0.149621\pi$
$828$	11.6889	−	8.38865i	0.406218	−	0.291526i
$829$	27.2834	+	15.7521i	0.947590	+	0.547092i	0.892332	−	0.451381i	$-0.149068\pi$
$829$	27.2834	+	15.7521i	0.947590	+	0.547092i	0.0552588	+	0.998472i	$0.482402\pi$
$830$	1.79405	+	9.30840i	0.0622723	+	0.323099i
$831$	−20.3063	+	6.90904i	−0.704416	+	0.239672i
$832$	−1.73649	−	0.249669i	−0.0602019	−	0.00865572i
$833$	35.7040	+	34.7517i	1.23707	+	1.20408i
$834$	1.21629	−	0.693746i	0.0421166	−	0.0240225i
$835$	−2.59625	−	10.7019i	−0.0898471	−	0.370355i
$836$	0.731366	+	15.3533i	0.0252948	+	0.531004i
$837$	−12.9016	+	21.5559i	−0.445945	+	0.745080i
$838$	10.5243	−	11.0376i	0.363556	−	0.381287i
$839$	17.5679	−	20.2745i	0.606512	−	0.699953i	−0.366575	−	0.930388i	$-0.619470\pi$
$839$	17.5679	−	20.2745i	0.606512	−	0.699953i	0.973088	+	0.230436i	$0.0740152\pi$
$840$	−4.40316	−	1.11674i	−0.151923	−	0.0385313i
$841$	−19.0604	+	5.59665i	−0.657256	+	0.192988i
$842$	−9.94471	−	7.08160i	−0.342717	−	0.244048i
$843$	−10.6663	−	23.6839i	−0.367368	−	0.815717i
$844$	−5.35983	+	5.11059i	−0.184493	+	0.175914i
$845$	7.73134	−	6.08000i	0.265966	−	0.209158i
$846$	−9.84123	+	3.29092i	−0.338349	+	0.113144i
$847$	−2.72378	−	5.35077i	−0.0935901	−	0.183855i
$848$	−3.83155	+	5.96201i	−0.131576	+	0.204736i
$849$	1.22263	+	28.8481i	0.0419604	+	0.990066i
$850$	−24.7638	−	14.2974i	−0.849391	−	0.490396i
$851$	−9.37813	+	5.59311i	−0.321478	+	0.191729i
$852$	−7.94237	−	6.31364i	−0.272101	−	0.216302i
$853$	−33.6791	+	29.1831i	−1.15315	+	0.999210i	−0.153210	+	0.988194i	$0.548961\pi$
$853$	−33.6791	+	29.1831i	−1.15315	+	0.999210i	−0.999939	+	0.0110162i	$0.996493\pi$
$854$	21.4456	+	33.7503i	0.733852	+	1.15491i
$855$	−12.6947	+	8.84067i	−0.434149	+	0.302345i
$856$	2.92841	−	0.279630i	0.100091	−	0.00955755i
$857$	29.6952	+	11.8882i	1.01437	+	0.406092i	0.818480	−	0.574535i	$-0.194817\pi$
$857$	29.6952	+	11.8882i	1.01437	+	0.406092i	0.195888	+	0.980626i	$0.437241\pi$
$858$	−3.77253	+	8.14736i	−0.128792	+	0.278146i
$859$	14.7598	−	28.6300i	0.503598	−	0.976844i	−0.490813	−	0.871265i	$-0.663300\pi$
$859$	14.7598	−	28.6300i	0.503598	−	0.976844i	0.994411	−	0.105579i	$-0.0336697\pi$
$860$	−1.76351	−	3.86154i	−0.0601350	−	0.131677i
$861$	6.92244	+	29.8861i	0.235916	+	1.01852i
$862$	−15.9774	+	18.4389i	−0.544193	+	0.628032i
$863$	7.27883	−	37.7662i	0.247774	−	1.28558i	−0.618412	−	0.785854i	$-0.712224\pi$
$863$	7.27883	−	37.7662i	0.247774	−	1.28558i	0.866186	−	0.499721i	$-0.166564\pi$
$864$	−4.03342	−	3.27590i	−0.137220	−	0.111448i
$865$	−11.9571	−	1.14177i	−0.406555	−	0.0388213i
$866$	16.3674	+	8.43798i	0.556187	+	0.286734i
$867$	−5.23783	−	58.0694i	−0.177886	−	1.97214i
$868$	9.30285	−	8.77936i	0.315759	−	0.297991i
$869$	24.5257	+	11.2005i	0.831978	+	0.379951i
$870$	−3.56125	−	3.77436i	−0.120738	−	0.127963i
$871$	9.19540	+	17.8366i	0.311574	+	0.604369i
$872$	2.87836	+	14.9343i	0.0974735	+	0.505740i
$873$	−2.09198	+	6.85774i	−0.0708028	+	0.232099i
$874$	−8.94311	+	23.2898i	−0.302505	+	0.787791i
$875$	−2.12693	−	23.5536i	−0.0719034	−	0.796258i
$876$	13.6860	+	7.14670i	0.462406	+	0.241465i
$877$	1.57316	−	33.0246i	0.0531217	−	1.11516i	−0.802197	−	0.597059i	$-0.796336\pi$
$877$	1.57316	−	33.0246i	0.0531217	−	1.11516i	0.855319	−	0.518102i	$-0.173361\pi$
$878$	−8.18710	−	6.43841i	−0.276301	−	0.217286i
$879$	7.09984	−	10.9212i	0.239472	−	0.368364i
$880$	1.81057	+	2.30233i	0.0610343	+	0.0776114i
$881$	−0.558826	−	0.164086i	−0.0188273	−	0.00552821i	0.272305	−	0.962211i	$-0.412214\pi$
$881$	−0.558826	−	0.164086i	−0.0188273	−	0.00552821i	−0.291133	+	0.956683i	$0.594032\pi$
$882$	−11.7180	+	17.4267i	−0.394564	+	0.586787i
$883$	−14.2262	−	31.1510i	−0.478750	−	1.04832i	−0.982805	−	0.184644i	$-0.940887\pi$
$883$	−14.2262	−	31.1510i	−0.478750	−	1.04832i	0.504056	−	0.863671i	$-0.331841\pi$
$884$	8.61701	−	9.03726i	0.289822	−	0.303956i
$885$	1.58322	−	1.35740i	0.0532194	−	0.0456285i
$886$	−10.2811	−	29.7053i	−0.345400	−	0.997968i
$887$	13.9366	+	13.2885i	0.467945	+	0.446185i	0.886995	−	0.461778i	$-0.152788\pi$
$887$	13.9366	+	13.2885i	0.467945	+	0.446185i	−0.419050	+	0.907963i	$0.637637\pi$
$888$	2.83981	+	2.73633i	0.0952978	+	0.0918252i
$889$	−4.67320	−	6.00576i	−0.156734	−	0.201427i
$890$	1.30576	−	4.44701i	0.0437692	−	0.149064i
$891$	−21.9807	+	14.9677i	−0.736381	+	0.501436i
$892$	−18.5427	+	13.2042i	−0.620856	+	0.442109i
$893$	11.1229	−	14.1439i	0.372212	−	0.473306i
$894$	−27.7217	+	9.43208i	−0.927151	+	0.315456i
$895$	9.28994	−	8.04978i	0.310528	−	0.269074i
$896$	1.52358	+	2.16303i	0.0508993	+	0.0722617i
$897$	−10.9277	+	9.64098i	−0.364865	+	0.321903i
$898$	5.50486	+	9.53470i	0.183700	+	0.318177i
$899$	14.3483	−	2.76541i	0.478544	−	0.0922317i
$900$	4.06110	−	11.3473i	0.135370	−	0.378244i
$901$	−18.7481	−	46.8305i	−0.624590	−	1.56015i
$902$	8.21701	−	17.9927i	0.273596	−	0.599093i
$903$	−19.5546	+	1.66248i	−0.650736	+	0.0553240i
$904$	12.2492	+	3.59668i	0.407401	+	0.119624i
$905$	7.03989	−	13.6555i	0.234014	−	0.453923i
$906$	28.9687	−	8.34122i	0.962419	−	0.277118i
$907$	6.77893	−	27.9431i	0.225091	−	0.927837i	−0.741385	−	0.671080i	$-0.765831\pi$
$907$	6.77893	−	27.9431i	0.225091	−	0.927837i	0.966476	−	0.256757i	$-0.0826541\pi$
$908$	−22.3401	−	4.30570i	−0.741383	−	0.142890i
$909$	−0.0190101	−	0.511996i	−0.000630526	−	0.0169819i
$910$	4.55078	+	0.678206i	0.150857	+	0.0224823i
$911$	−27.2685	+	12.4531i	−0.903445	+	0.412590i	−0.812295	−	0.583247i	$-0.801782\pi$
$911$	−27.2685	+	12.4531i	−0.903445	+	0.412590i	−0.0911509	+	0.995837i	$0.529055\pi$
$912$	8.96470	+	0.903487i	0.296851	+	0.0299174i
$913$	−19.4996	−	20.4506i	−0.645342	−	0.676815i
$914$	6.15476	−	15.3739i	0.203581	−	0.508522i
$915$	23.1268	−	11.7696i	0.764547	−	0.389090i
$916$	18.4255	+	2.64919i	0.608796	+	0.0875317i
$917$	−41.9339	+	1.78148i	−1.38478	+	0.0588296i
$918$	35.6463	−	9.86035i	1.17650	−	0.325440i
$919$	−10.9691	−	18.9990i	−0.361837	−	0.626720i	0.626426	−	0.779481i	$-0.284517\pi$
$919$	−10.9691	−	18.9990i	−0.361837	−	0.626720i	−0.988263	+	0.152761i	$0.951184\pi$
$920$	1.18613	+	4.60361i	0.0391056	+	0.151777i
$921$	−3.77611	+	25.3201i	−0.124427	+	0.834327i
$922$	16.1726	+	5.59740i	0.532617	+	0.184341i
$923$	8.64530	+	5.55600i	0.284564	+	0.182878i
$924$	12.8410	−	4.29551i	0.422439	−	0.141312i
$925$	−3.79978	+	8.32036i	−0.124936	+	0.273572i
$926$	7.13735	+	9.07588i	0.234548	+	0.298252i
$927$	−43.0649	−	2.50435i	−1.41444	−	0.0822535i
$928$	0.143812	+	3.01898i	0.00472085	+	0.0991028i
$929$	−0.659316	+	0.925880i	−0.0216315	+	0.0303772i	−0.825250	−	0.564767i	$-0.808966\pi$
$929$	−0.659316	+	0.925880i	−0.0216315	+	0.0303772i	0.803619	+	0.595145i	$0.202905\pi$
$930$	−5.09695	−	6.55172i	−0.167136	−	0.214839i
$931$	0.374502	−	36.4120i	0.0122738	−	1.19336i
$932$	2.56603	+	2.22348i	0.0840531	+	0.0728324i
$933$	−15.8028	+	38.8813i	−0.517360	+	1.27292i
$934$	−1.99680	+	20.9114i	−0.0653373	+	0.684243i
$935$	−20.8241	+	0.991974i	−0.681021	+	0.0324410i
$936$	4.39746	+	2.89169i	0.143735	+	0.0945177i
$937$	−34.7605	+	4.99781i	−1.13558	+	0.163271i	−0.684361	−	0.729143i	$-0.739919\pi$
$937$	−34.7605	+	4.99781i	−1.13558	+	0.163271i	−0.451216	+	0.892415i	$0.649010\pi$
$938$	10.0453	−	28.5481i	0.327990	−	0.932129i
$939$	−5.12939	−	21.6382i	−0.167391	−	0.706137i
$940$	0.163147	−	3.42489i	0.00532128	−	0.111707i
$941$	−11.9604	+	2.30518i	−0.389898	+	0.0751467i	−0.380433	−	0.924809i	$-0.624225\pi$
$941$	−11.9604	+	2.30518i	−0.389898	+	0.0751467i	−0.00946512	+	0.999955i	$0.503013\pi$
$942$	28.2764	+	4.21699i	0.921294	+	0.137397i
$943$	23.9630	−	21.3659i	0.780343	−	0.695771i
$944$	−1.21464			−0.0395332
$945$	10.5339	+	8.64584i	0.342669	+	0.281249i
$946$	10.6452	+	6.84124i	0.346105	+	0.222428i
$947$	−6.09993	−	15.2369i	−0.198221	−	0.495132i	0.795640	−	0.605770i	$-0.207135\pi$
$947$	−6.09993	−	15.2369i	−0.198221	−	0.495132i	−0.993861	+	0.110638i	$0.964711\pi$
$948$	8.61441	−	13.2510i	0.279783	−	0.430372i
$949$	−14.5181	−	5.81218i	−0.471278	−	0.188671i
$950$	4.92698	+	20.3093i	0.159852	+	0.658921i
$951$	12.4507	−	17.2919i	0.403740	−	0.560728i
$952$	−18.8316	−	0.0968401i	−0.610335	−	0.00313860i
$953$	12.8014	+	43.5977i	0.414679	+	1.41227i	0.856956	+	0.515390i	$0.172353\pi$
$953$	12.8014	+	43.5977i	0.414679	+	1.41227i	−0.442276	+	0.896879i	$0.645829\pi$
$954$	18.0056	−	11.3064i	0.582952	−	0.366059i
$955$	−2.62609	+	0.908898i	−0.0849782	+	0.0294113i
$956$	14.5253	+	3.52380i	0.469781	+	0.113968i
$957$	15.0127	+	3.72551i	0.485292	+	0.120429i
$958$	−8.48814	−	13.2078i	−0.274239	−	0.426725i
$959$	−14.2769	+	16.3062i	−0.461024	+	0.526554i
$960$	1.49139	−	0.850656i	0.0481343	−	0.0274548i
$961$	−7.59115	+	0.724867i	−0.244876	+	0.0233828i
$962$	−3.13978	−	2.46915i	−0.101231	−	0.0796087i
$963$	−8.30910	−	2.97375i	−0.267757	−	0.0958276i
$964$	−20.3221	−	7.03356i	−0.654532	−	0.226536i
$965$	−10.3327			−0.332620
$966$	21.8855	+	2.00631i	0.704154	+	0.0645519i
$967$	−24.4233			−0.785400			−0.392700	−	0.919667i	$-0.628459\pi$
$967$	−24.4233			−0.785400			−0.392700	+	0.919667i	$0.628459\pi$
$968$	2.14454	+	0.742232i	0.0689281	+	0.0238562i
$969$	−42.2510	+	48.2467i	−1.35730	+	1.54991i
$970$	−1.86219	−	1.46445i	−0.0597915	−	0.0470205i
$971$	−31.0880	+	2.96854i	−0.997661	+	0.0952651i	−0.581091	−	0.813839i	$-0.697374\pi$
$971$	−31.0880	+	2.96854i	−0.997661	+	0.0952651i	−0.416570	+	0.909104i	$0.636768\pi$
$972$	6.77735	+	14.0381i	0.217384	+	0.450271i
$973$	2.09812	+	0.415581i	0.0672627	+	0.0133229i
$974$	−12.9218	−	20.1067i	−0.414042	−	0.644261i
$975$	−2.94014	+	11.8479i	−0.0941599	+	0.379437i
$976$	−14.6878	−	3.56322i	−0.470145	−	0.114056i
$977$	27.9269	−	9.66558i	0.893460	−	0.309229i	0.158515	−	0.987357i	$-0.449329\pi$
$977$	27.9269	−	9.66558i	0.893460	−	0.309229i	0.734945	+	0.678127i	$0.237208\pi$
$978$	10.4309	−	1.95371i	0.333542	−	0.0624728i
$979$	3.89220	+	13.2556i	0.124395	+	0.423651i
$980$	−3.96661	−	5.69335i	−0.126709	−	0.181867i
$981$	11.2215	−	44.2261i	0.358276	−	1.41203i
$982$	−9.66649	−	39.8458i	−0.308470	−	1.27153i
$983$	−16.9889	−	6.80134i	−0.541863	−	0.216929i	0.0845521	−	0.996419i	$-0.473054\pi$
$983$	−16.9889	−	6.80134i	−0.541863	−	0.216929i	−0.626415	+	0.779490i	$0.715478\pi$
$984$	−9.72129	−	6.31977i	−0.309903	−	0.201467i
$985$	−5.70854	−	14.2593i	−0.181889	−	0.454338i
$986$	−18.0976	−	11.6306i	−0.576346	−	0.370395i
$987$	−14.6536	−	6.04373i	−0.466428	−	0.192374i
$988$	−9.12608			−0.290339
$989$	11.3476	+	17.1190i	0.360832	+	0.544351i
$990$	−1.98193	−	8.56048i	−0.0629897	−	0.272070i
$991$	33.4728	−	6.45135i	1.06330	−	0.204934i	0.372537	−	0.928017i	$-0.378488\pi$
$991$	33.4728	−	6.45135i	1.06330	−	0.204934i	0.690761	+	0.723083i	$0.257276\pi$
$992$	−0.230044	+	4.82922i	−0.00730391	+	0.153328i
$993$	1.93743	−	0.459271i	0.0614824	−	0.0145745i
$994$	−2.85480	−	15.2332i	−0.0905487	−	0.483169i
$995$	23.1387	−	3.32684i	0.733547	−	0.105468i
$996$	−13.5428	+	9.53715i	−0.429120	+	0.302196i
$997$	−9.09569	+	0.433281i	−0.288063	+	0.0137221i	−0.191116	−	0.981567i	$-0.561211\pi$
$997$	−9.09569	+	0.433281i	−0.288063	+	0.0137221i	−0.0969470	+	0.995290i	$0.530908\pi$
$998$	2.27454	−	23.8200i	0.0719993	−	0.754010i
$999$	−4.22375	−	11.0512i	−0.133634	−	0.349643i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bd.a.59.8	✓	1280
3.2	odd	2	inner	966.2.bd.a.59.48	yes	1280
7.5	odd	6	inner	966.2.bd.a.887.36	yes	1280
21.5	even	6	inner	966.2.bd.a.887.6	yes	1280
23.16	even	11	inner	966.2.bd.a.269.6	yes	1280
69.62	odd	22	inner	966.2.bd.a.269.36	yes	1280
161.131	odd	66	inner	966.2.bd.a.131.48	yes	1280
483.131	even	66	inner	966.2.bd.a.131.8	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bd.a.59.8	✓	1280	1.1	even	1	trivial
966.2.bd.a.59.48	yes	1280	3.2	odd	2	inner
966.2.bd.a.131.8	yes	1280	483.131	even	66	inner
966.2.bd.a.131.48	yes	1280	161.131	odd	66	inner
966.2.bd.a.269.6	yes	1280	23.16	even	11	inner
966.2.bd.a.269.36	yes	1280	69.62	odd	22	inner
966.2.bd.a.887.6	yes	1280	21.5	even	6	inner
966.2.bd.a.887.36	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)

\(f(q)\)	\(=\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.30303 - 1.14110i) q^{3} +(0.786053 + 0.618159i) q^{4} +(0.986781 - 0.0942262i) q^{5} +(0.858148 + 1.50452i) q^{6} +(-0.514065 + 2.59533i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.395779 + 2.97378i) q^{9} +O(q^{10})\)	\(q+(-0.945001 - 0.327068i) q^{2} +(-1.30303 - 1.14110i) q^{3} +(0.786053 + 0.618159i) q^{4} +(0.986781 - 0.0942262i) q^{5} +(0.858148 + 1.50452i) q^{6} +(-0.514065 + 2.59533i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(0.395779 + 2.97378i) q^{9} +(-0.963327 - 0.233701i) q^{10} +(2.79226 - 0.966410i) q^{11} +(-0.318870 - 1.70245i) q^{12} +(0.494256 + 1.68328i) q^{13} +(1.33464 - 2.28445i) q^{14} +(-1.39333 - 1.00324i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.60790 - 2.64540i) q^{17} +(0.598616 - 2.93967i) q^{18} +(1.93338 + 4.82936i) q^{19} +(0.833909 + 0.535921i) q^{20} +(3.63137 - 2.79520i) q^{21} -2.95477 q^{22} +(-4.39023 - 1.93025i) q^{23} +(-0.255483 + 1.71310i) q^{24} +(-3.94479 + 0.760295i) q^{25} +(0.0834751 - 1.75236i) q^{26} +(2.87767 - 4.32655i) q^{27} +(-2.00841 + 1.72229i) q^{28} +(-2.99164 + 0.430132i) q^{29} +(0.988569 + 1.40377i) q^{30} +(-4.82922 + 0.230044i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(-4.74117 - 1.92698i) q^{33} +(5.37924 + 4.66114i) q^{34} +(-0.262721 + 2.60946i) q^{35} +(-1.52716 + 2.58220i) q^{36} +(1.32070 - 1.85466i) q^{37} +(-0.247521 - 5.19610i) q^{38} +(1.27676 - 2.75736i) q^{39} +(-0.612762 - 0.779191i) q^{40} +(-2.78093 + 6.08939i) q^{41} +(-4.34587 + 1.45376i) q^{42} +(-3.60271 - 2.31532i) q^{43} +(2.79226 + 0.966410i) q^{44} +(0.670755 + 2.89718i) q^{45} +(3.51745 + 3.25999i) q^{46} +(-1.72948 - 2.99555i) q^{47} +(0.801733 - 1.53533i) q^{48} +(-6.47148 - 2.66833i) q^{49} +(3.97649 + 0.571733i) q^{50} +(5.59162 + 10.9873i) q^{51} +(-0.652024 + 1.62868i) q^{52} +(4.89062 + 5.12914i) q^{53} +(-4.13447 + 3.14740i) q^{54} +(2.66429 - 1.21674i) q^{55} +(2.46125 - 0.970683i) q^{56} +(2.99153 - 8.49899i) q^{57} +(2.96778 + 0.571993i) q^{58} +(-0.286363 + 1.18040i) q^{59} +(-0.475070 - 1.64990i) q^{60} +(-6.92555 + 13.4337i) q^{61} +(4.63886 + 1.36209i) q^{62} +(-7.92139 - 0.501537i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(0.646331 + 1.61446i) q^{65} +(3.85015 + 3.37169i) q^{66} +(11.2320 - 2.16478i) q^{67} +(-3.55888 - 6.16416i) q^{68} +(3.51799 + 7.52487i) q^{69} +(1.10174 - 2.38001i) q^{70} +(4.42707 - 3.83608i) q^{71} +(2.28773 - 1.94070i) q^{72} +(-5.51030 + 7.00692i) q^{73} +(-1.85466 + 1.32070i) q^{74} +(6.00775 + 3.51071i) q^{75} +(-1.46557 + 4.99127i) q^{76} +(1.07275 + 7.74363i) q^{77} +(-2.10839 + 2.18812i) q^{78} +(6.60407 + 6.29697i) q^{79} +(0.324213 + 0.936751i) q^{80} +(-8.68672 + 2.35392i) q^{81} +(4.61963 - 4.84493i) q^{82} +(-3.97270 - 8.69899i) q^{83} +(4.58233 + 0.0475945i) q^{84} +(-6.76981 - 1.98780i) q^{85} +(2.64730 + 3.36631i) q^{86} +(4.38902 + 2.85328i) q^{87} +(-2.32260 - 1.82652i) q^{88} +(-0.222473 + 4.67027i) q^{89} +(0.313709 - 2.95722i) q^{90} +(-4.62275 + 0.417442i) q^{91} +(-2.25775 - 4.23114i) q^{92} +(6.55513 + 5.21087i) q^{93} +(0.654614 + 3.39646i) q^{94} +(2.36288 + 4.58335i) q^{95} +(-1.25979 + 1.18866i) q^{96} +(2.17394 + 0.992804i) q^{97} +(5.24282 + 4.63819i) q^{98} +(3.97901 + 7.92107i) 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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