LMFDB - Embedded newform 966.2.be.b.661.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			661.7
Character	$\chi$	$=$	966.661
Dual form			966.2.be.b.19.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.995472 + 0.0950560i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(2.27295 + 1.17179i) q^{5} +(0.755750 + 0.654861i) q^{6} +(2.41464 - 1.08144i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})$	\(q+(-0.995472 + 0.0950560i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(2.27295 + 1.17179i) q^{5} +(0.755750 + 0.654861i) q^{6} +(2.41464 - 1.08144i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-2.37404 - 0.950422i) q^{10} +(0.506424 - 5.30351i) q^{11} +(-0.814576 - 0.580057i) q^{12} +(-6.62699 + 0.952817i) q^{13} +(-2.30091 + 1.30607i) q^{14} +(-0.720452 - 2.45363i) q^{15} +(0.928368 - 0.371662i) q^{16} +(-2.05138 - 5.92708i) q^{17} +(-0.0475819 - 0.998867i) q^{18} +(1.34177 - 3.87680i) q^{19} +(2.45363 + 0.720452i) q^{20} +(-2.44897 - 1.00127i) q^{21} +5.32764i q^{22} +(4.39906 + 1.91005i) q^{23} +(0.866025 + 0.500000i) q^{24} +(0.892921 + 1.25393i) q^{25} +(6.50641 - 1.57844i) q^{26} +(0.755750 - 0.654861i) q^{27} +(2.16634 - 1.51887i) q^{28} +(-0.547576 + 0.631936i) q^{29} +(0.950422 + 2.37404i) q^{30} +(-6.89082 - 1.67170i) q^{31} +(-0.888835 + 0.458227i) q^{32} +(-4.18781 + 3.29333i) q^{33} +(2.60550 + 5.70525i) q^{34} +(6.75557 + 0.371373i) q^{35} +(0.142315 + 0.989821i) q^{36} +(-2.20146 - 0.104868i) q^{37} +(-0.967185 + 3.98679i) q^{38} +(5.26273 + 4.13866i) q^{39} +(-2.51101 - 0.483957i) q^{40} +(4.50876 + 7.01577i) q^{41} +(2.53306 + 0.763951i) q^{42} +(-1.39918 + 4.76518i) q^{43} +(-0.506424 - 5.30351i) q^{44} +(-1.27861 + 2.21462i) q^{45} +(-4.56070 - 1.48325i) q^{46} +(-1.06414 + 0.614379i) q^{47} +(-0.909632 - 0.415415i) q^{48} +(4.66096 - 5.22259i) q^{49} +(-1.00807 - 1.16338i) q^{50} +(-2.87401 + 5.57481i) q^{51} +(-6.32691 + 2.18976i) q^{52} +(7.26356 - 9.23636i) q^{53} +(-0.690079 + 0.723734i) q^{54} +(7.36566 - 11.4612i) q^{55} +(-2.01215 + 1.71792i) q^{56} +(-3.73170 + 1.70421i) q^{57} +(0.485027 - 0.681125i) q^{58} +(4.38923 - 10.9638i) q^{59} +(-1.17179 - 2.27295i) q^{60} +(-2.51073 - 2.39397i) q^{61} +(7.01852 + 1.00911i) q^{62} +(0.965326 + 2.46336i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-16.1793 - 5.59971i) q^{65} +(3.85579 - 3.67649i) q^{66} +(-9.82734 + 6.99802i) q^{67} +(-3.13602 - 5.43174i) q^{68} +(-1.65333 - 4.50183i) q^{69} +(-6.76028 + 0.272466i) q^{70} +(4.65198 - 10.1864i) q^{71} +(-0.235759 - 0.971812i) q^{72} +(-0.394323 - 2.04594i) q^{73} +(2.20146 - 0.104868i) q^{74} +(0.291327 - 1.51155i) q^{75} +(0.583837 - 4.06068i) q^{76} +(-4.51262 - 13.3537i) q^{77} +(-5.63231 - 3.61966i) q^{78} +(8.77522 + 11.1586i) q^{79} +(2.54564 + 0.243079i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-5.15524 - 6.55542i) q^{82} +(4.42162 + 2.84160i) q^{83} +(-2.59421 - 0.519709i) q^{84} +(2.28258 - 15.8757i) q^{85} +(0.939888 - 4.87660i) q^{86} +(0.835225 - 0.0397867i) q^{87} +(1.00826 + 5.23136i) q^{88} +(1.11917 + 4.61330i) q^{89} +(1.06231 - 2.32613i) q^{90} +(-14.9714 + 9.46743i) q^{91} +(4.68104 + 1.04301i) q^{92} +(3.54535 + 6.14072i) q^{93} +(1.00092 - 0.712750i) q^{94} +(7.59256 - 7.23949i) q^{95} +(0.945001 + 0.327068i) q^{96} +(3.10493 - 1.99542i) q^{97} +(-4.14341 + 5.64200i) q^{98} +(5.27341 + 0.758202i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.995472	+	0.0950560i	−0.703905	+	0.0672148i
$2$	−0.995472	+	0.0950560i	−0.703905	+	0.0672148i
$3$	−0.690079	−	0.723734i	−0.398417	−	0.417848i
$3$	−0.690079	−	0.723734i	−0.398417	−	0.417848i
$4$	0.981929	−	0.189251i	0.490964	−	0.0946256i
$5$	2.27295	+	1.17179i	1.01649	+	0.524038i	0.884169	−	0.467168i	$-0.154726\pi$
$5$	2.27295	+	1.17179i	1.01649	+	0.524038i	0.132324	+	0.991206i	$0.457756\pi$
$6$	0.755750	+	0.654861i	0.308533	+	0.267346i
$7$	2.41464	−	1.08144i	0.912647	−	0.408748i
$7$	2.41464	−	1.08144i	0.912647	−	0.408748i
$8$	−0.959493	+	0.281733i	−0.339232	+	0.0996075i
$9$	−0.0475819	+	0.998867i	−0.0158606	+	0.332956i
$10$	−2.37404	−	0.950422i	−0.750737	−	0.300550i
$11$	0.506424	−	5.30351i	0.152693	−	1.59907i	−0.516704	−	0.856164i	$-0.672841\pi$
$11$	0.506424	−	5.30351i	0.152693	−	1.59907i	0.669396	−	0.742905i	$-0.266553\pi$
$12$	−0.814576	−	0.580057i	−0.235148	−	0.167448i
$13$	−6.62699	+	0.952817i	−1.83800	+	0.264264i	−0.971863	−	0.235549i	$-0.924311\pi$
$13$	−6.62699	+	0.952817i	−1.83800	+	0.264264i	−0.866133	+	0.499813i	$0.833402\pi$
$14$	−2.30091	+	1.30607i	−0.614943	+	0.349063i
$15$	−0.720452	−	2.45363i	−0.186020	−	0.633525i
$16$	0.928368	−	0.371662i	0.232092	−	0.0929156i
$17$	−2.05138	−	5.92708i	−0.497533	−	1.43753i	−0.862285	−	0.506423i	$-0.830967\pi$
$17$	−2.05138	−	5.92708i	−0.497533	−	1.43753i	0.364752	−	0.931105i	$-0.381154\pi$
$18$	−0.0475819	−	0.998867i	−0.0112152	−	0.235435i
$19$	1.34177	−	3.87680i	0.307824	−	0.889399i	−0.679916	−	0.733290i	$-0.737984\pi$
$19$	1.34177	−	3.87680i	0.307824	−	0.889399i	0.987740	−	0.156109i	$-0.0498952\pi$
$20$	2.45363	+	0.720452i	0.548649	+	0.161098i
$21$	−2.44897	−	1.00127i	−0.534409	−	0.218496i
$22$			5.32764i			1.13586i
$23$	4.39906	+	1.91005i	0.917267	+	0.398273i
$23$	4.39906	+	1.91005i	0.917267	+	0.398273i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	0.892921	+	1.25393i	0.178584	+	0.250787i
$26$	6.50641	−	1.57844i	1.27601	−	0.309557i
$27$	0.755750	−	0.654861i	0.145444	−	0.126028i
$28$	2.16634	−	1.51887i	0.409399	−	0.287040i
$29$	−0.547576	+	0.631936i	−0.101682	+	0.117348i	−0.804310	−	0.594210i	$-0.797465\pi$
$29$	−0.547576	+	0.631936i	−0.101682	+	0.117348i	0.702627	+	0.711558i	$0.252010\pi$
$30$	0.950422	+	2.37404i	0.173523	+	0.433438i
$31$	−6.89082	−	1.67170i	−1.23763	−	0.300245i	−0.437030	−	0.899447i	$-0.643970\pi$
$31$	−6.89082	−	1.67170i	−1.23763	−	0.300245i	−0.800598	+	0.599202i	$0.795485\pi$
$32$	−0.888835	+	0.458227i	−0.157125	+	0.0810038i
$33$	−4.18781	+	3.29333i	−0.729004	+	0.573295i
$34$	2.60550	+	5.70525i	0.446839	+	0.978442i
$35$	6.75557	+	0.371373i	1.14190	+	0.0627735i
$36$	0.142315	+	0.989821i	0.0237191	+	0.164970i
$37$	−2.20146	−	0.104868i	−0.361917	−	0.0172403i	−0.134164	−	0.990959i	$-0.542835\pi$
$37$	−2.20146	−	0.104868i	−0.361917	−	0.0172403i	−0.227753	+	0.973719i	$0.573138\pi$
$38$	−0.967185	+	3.98679i	−0.156898	+	0.646743i
$39$	5.26273	+	4.13866i	0.842712	+	0.662716i
$40$	−2.51101	−	0.483957i	−0.397025	−	0.0765203i
$41$	4.50876	+	7.01577i	0.704150	+	1.09568i	0.990495	+	0.137552i	$0.0439235\pi$
$41$	4.50876	+	7.01577i	0.704150	+	1.09568i	−0.286344	+	0.958127i	$0.592440\pi$
$42$	2.53306	+	0.763951i	0.390859	+	0.117880i
$43$	−1.39918	+	4.76518i	−0.213373	+	0.726683i	0.781350	+	0.624093i	$0.214531\pi$
$43$	−1.39918	+	4.76518i	−0.213373	+	0.726683i	−0.994724	+	0.102590i	$0.967287\pi$
$44$	−0.506424	−	5.30351i	−0.0763463	−	0.799535i
$45$	−1.27861	+	2.21462i	−0.190604	+	0.330136i
$46$	−4.56070	−	1.48325i	−0.672438	−	0.218693i
$47$	−1.06414	+	0.614379i	−0.155220	+	0.0896165i	−0.575598	−	0.817733i	$-0.695231\pi$
$47$	−1.06414	+	0.614379i	−0.155220	+	0.0896165i	0.420378	+	0.907349i	$0.361897\pi$
$48$	−0.909632	−	0.415415i	−0.131294	−	0.0599600i
$49$	4.66096	−	5.22259i	0.665851	−	0.746085i
$50$	−1.00807	−	1.16338i	−0.142563	−	0.164526i
$51$	−2.87401	+	5.57481i	−0.402442	+	0.780629i
$52$	−6.32691	+	2.18976i	−0.877384	+	0.303666i
$53$	7.26356	−	9.23636i	0.997726	−	1.26871i	0.0346735	−	0.999399i	$-0.488961\pi$
$53$	7.26356	−	9.23636i	0.997726	−	1.26871i	0.963053	−	0.269313i	$-0.0867967\pi$
$54$	−0.690079	+	0.723734i	−0.0939079	+	0.0984877i
$55$	7.36566	−	11.4612i	0.993185	−	1.54543i
$56$	−2.01215	+	1.71792i	−0.268885	+	0.229567i
$57$	−3.73170	+	1.70421i	−0.494276	+	0.225728i
$58$	0.485027	−	0.681125i	0.0636872	−	0.0894362i
$59$	4.38923	−	10.9638i	0.571429	−	1.42736i	−0.308026	−	0.951378i	$-0.599668\pi$
$59$	4.38923	−	10.9638i	0.571429	−	1.42736i	0.879455	−	0.475982i	$-0.157907\pi$
$60$	−1.17179	−	2.27295i	−0.151277	−	0.293436i
$61$	−2.51073	−	2.39397i	−0.321466	−	0.306517i	0.512113	−	0.858918i	$-0.328863\pi$
$61$	−2.51073	−	2.39397i	−0.321466	−	0.306517i	−0.833578	+	0.552401i	$0.813712\pi$
$62$	7.01852	+	1.00911i	0.891353	+	0.128157i
$63$	0.965326	+	2.46336i	0.121620	+	0.310354i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	−16.1793	−	5.59971i	−2.00679	−	0.694558i
$66$	3.85579	−	3.67649i	0.474615	−	0.452545i
$67$	−9.82734	+	6.99802i	−1.20060	+	0.854944i	−0.992389	−	0.123140i	$-0.960704\pi$
$67$	−9.82734	+	6.99802i	−1.20060	+	0.854944i	−0.208212	+	0.978084i	$0.566764\pi$
$68$	−3.13602	−	5.43174i	−0.380298	−	0.658696i
$69$	−1.65333	−	4.50183i	−0.199037	−	0.541957i
$70$	−6.76028	+	0.272466i	−0.808008	+	0.0325659i
$71$	4.65198	−	10.1864i	0.552089	−	1.20891i	−0.403711	−	0.914887i	$-0.632280\pi$
$71$	4.65198	−	10.1864i	0.552089	−	1.20891i	0.955800	−	0.294019i	$-0.0949930\pi$
$72$	−0.235759	−	0.971812i	−0.0277845	−	0.114529i
$73$	−0.394323	−	2.04594i	−0.0461520	−	0.239459i	0.951526	−	0.307569i	$-0.0995154\pi$
$73$	−0.394323	−	2.04594i	−0.0461520	−	0.239459i	−0.997678	+	0.0681095i	$0.978303\pi$
$74$	2.20146	−	0.104868i	0.255914	−	0.0121907i
$75$	0.291327	−	1.51155i	0.0336396	−	0.174539i
$76$	0.583837	−	4.06068i	0.0669707	−	0.465791i
$77$	−4.51262	−	13.3537i	−0.514261	−	1.52180i
$78$	−5.63231	−	3.61966i	−0.637733	−	0.409846i
$79$	8.77522	+	11.1586i	0.987290	+	1.25544i	0.966769	+	0.255652i	$0.0822900\pi$
$79$	8.77522	+	11.1586i	0.987290	+	1.25544i	0.0205207	+	0.999789i	$0.493468\pi$
$80$	2.54564	+	0.243079i	0.284611	+	0.0271771i
$81$	−0.995472	−	0.0950560i	−0.110608	−	0.0105618i
$82$	−5.15524	−	6.55542i	−0.569301	−	0.723925i
$83$	4.42162	+	2.84160i	0.485336	+	0.311907i	0.760327	−	0.649540i	$-0.225039\pi$
$83$	4.42162	+	2.84160i	0.485336	+	0.311907i	−0.274991	+	0.961447i	$0.588675\pi$
$84$	−2.59421	−	0.519709i	−0.283051	−	0.0567049i
$85$	2.28258	−	15.8757i	0.247581	−	1.72196i
$86$	0.939888	−	4.87660i	0.101351	−	0.525858i
$87$	0.835225	−	0.0397867i	0.0895455	−	0.00426558i
$88$	1.00826	+	5.23136i	0.107481	+	0.557665i
$89$	1.11917	+	4.61330i	0.118632	+	0.489009i	0.999867	+	0.0163293i	$0.00519801\pi$
$89$	1.11917	+	4.61330i	0.118632	+	0.489009i	−0.881234	+	0.472679i	$0.843287\pi$
$90$	1.06231	−	2.32613i	0.111977	−	0.245195i
$91$	−14.9714	+	9.46743i	−1.56943	+	0.992456i
$92$	4.68104	+	1.04301i	0.488032	+	0.108741i
$93$	3.54535	+	6.14072i	0.367635	+	0.636763i
$94$	1.00092	−	0.712750i	0.103237	−	0.0735146i
$95$	7.59256	−	7.23949i	0.778980	−	0.742756i
$96$	0.945001	+	0.327068i	0.0964487	+	0.0333812i
$97$	3.10493	−	1.99542i	0.315258	−	0.202604i	−0.373436	−	0.927656i	$-0.621821\pi$
$97$	3.10493	−	1.99542i	0.315258	−	0.202604i	0.688694	+	0.725052i	$0.258184\pi$
$98$	−4.14341	+	5.64200i	−0.418548	+	0.569928i
$99$	5.27341	+	0.758202i	0.529998	+	0.0762022i
$100$	1.11409	+	1.06229i	0.111409	+	0.106229i
$101$	−5.21551	−	10.1167i	−0.518963	−	1.00665i	−0.992075	−	0.125646i	$-0.959900\pi$
$101$	−5.21551	−	10.1167i	−0.518963	−	1.00665i	0.473112	−	0.881002i	$-0.343131\pi$
$102$	2.33108	−	5.82276i	0.230811	−	0.576539i
$103$	2.36632	−	3.32303i	0.233161	−	0.327428i	−0.681374	−	0.731935i	$-0.738617\pi$
$103$	2.36632	−	3.32303i	0.233161	−	0.327428i	0.914535	+	0.404507i	$0.132557\pi$
$104$	6.09011	−	2.78126i	0.597184	−	0.272725i
$105$	−4.39310	−	5.14551i	−0.428723	−	0.502150i
$106$	−6.35269	+	9.88498i	−0.617028	+	0.960115i
$107$	−6.99761	+	7.33888i	−0.676484	+	0.709476i	−0.969076	−	0.246761i	$-0.920634\pi$
$107$	−6.99761	+	7.33888i	−0.676484	+	0.709476i	0.292592	+	0.956237i	$0.405482\pi$
$108$	0.618159	−	0.786053i	0.0594824	−	0.0756380i
$109$	5.72244	−	1.98056i	0.548111	−	0.189703i	−0.0389568	−	0.999241i	$-0.512403\pi$
$109$	5.72244	−	1.98056i	0.548111	−	0.189703i	0.587068	+	0.809538i	$0.300282\pi$
$110$	−6.24285	+	12.1094i	−0.595232	+	1.15459i
$111$	1.44328	+	1.66564i	0.136990	+	0.158095i
$112$	1.83974	−	1.90141i	0.173839	−	0.179666i
$113$	−7.73811	−	3.53388i	−0.727940	−	0.332439i	0.0167407	−	0.999860i	$-0.494671\pi$
$113$	−7.73811	−	3.53388i	−0.727940	−	0.332439i	−0.744681	+	0.667421i	$0.767398\pi$
$114$	3.55281	−	2.05122i	0.332751	−	0.192114i
$115$	7.76065	+	9.49620i	0.723684	+	0.885525i
$116$	−0.418086	+	0.724146i	−0.0388183	+	0.0672353i
$117$	−0.636413	−	6.66482i	−0.0588364	−	0.616163i
$118$	−3.32718	+	11.3313i	−0.306292	+	1.04313i
$119$	−11.3632	−	12.0933i	−1.04166	−	1.10859i
$120$	1.38254	+	2.15127i	0.126208	+	0.196383i
$121$	−17.0696	−	3.28989i	−1.55178	−	0.299081i
$122$	2.72692	+	2.14447i	0.246884	+	0.194151i
$123$	1.96615	−	8.10458i	0.177282	−	0.730765i
$124$	−7.08267	−	0.337389i	−0.636042	−	0.0302984i
$125$	−1.25943	−	8.75952i	−0.112647	−	0.783475i
$126$	−1.19511	−	2.36045i	−0.106469	−	0.210285i
$127$	−0.119812	−	0.262351i	−0.0106316	−	0.0232799i	0.904242	−	0.427021i	$-0.140437\pi$
$127$	−0.119812	−	0.262351i	−0.0106316	−	0.0232799i	−0.914873	+	0.403741i	$0.867710\pi$
$128$	−0.786053	+	0.618159i	−0.0694779	+	0.0546381i
$129$	4.41427	−	2.27571i	0.388655	−	0.200365i
$130$	16.6383	+	4.03641i	1.45928	+	0.354017i
$131$	−1.96835	−	4.91670i	−0.171976	−	0.429574i	0.817192	−	0.576366i	$-0.195530\pi$
$131$	−1.96835	−	4.91670i	−0.171976	−	0.429574i	−0.989167	+	0.146791i	$0.953105\pi$
$132$	−3.48886	+	4.02636i	−0.303666	+	0.350450i
$133$	−0.952646	−	10.8121i	−0.0826049	−	0.937531i
$134$	9.11764	−	7.90048i	0.787644	−	0.682498i
$135$	2.48513	−	0.602887i	0.213886	−	0.0518883i
$136$	3.63814	+	5.10905i	0.311968	+	0.438098i
$137$	4.21018	+	2.43075i	0.359700	+	0.207673i	0.668949	−	0.743308i	$-0.266744\pi$
$137$	4.21018	+	2.43075i	0.359700	+	0.207673i	−0.309249	+	0.950981i	$0.600078\pi$
$138$	2.07377	+	4.32429i	0.176531	+	0.368108i
$139$			11.4279i			0.969306i	0.874707	+	0.484653i	$0.161054\pi$
$139$			11.4279i			0.969306i	−0.874707	+	0.484653i	$0.838946\pi$
$140$	6.70377	−	0.913838i	0.566572	−	0.0772334i
$141$	1.17899	+	0.346181i	0.0992885	+	0.0291537i
$142$	−3.66264	+	10.5825i	−0.307362	+	0.888063i
$143$	1.69721	+	35.6289i	0.141928	+	2.97943i
$144$	0.327068	+	0.945001i	0.0272557	+	0.0787501i
$145$	−1.98511	+	0.794716i	−0.164854	+	0.0659976i
$146$	0.587016	+	1.99919i	0.0485818	+	0.165454i
$147$	−6.99620	+	0.230710i	−0.577037	+	0.0190286i
$148$	−2.18152	+	0.313655i	−0.179320	+	0.0257823i
$149$	8.10452	+	5.77120i	0.663948	+	0.472795i	0.861674	−	0.507462i	$-0.169416\pi$
$149$	8.10452	+	5.77120i	0.663948	+	0.472795i	−0.197726	+	0.980257i	$0.563356\pi$
$150$	−0.146326	+	1.53240i	−0.0119475	+	0.125120i
$151$	5.49902	+	2.20148i	0.447504	+	0.179154i	0.584458	−	0.811424i	$-0.301307\pi$
$151$	5.49902	+	2.20148i	0.447504	+	0.179154i	−0.136954	+	0.990577i	$0.543731\pi$
$152$	−0.195202	+	4.09779i	−0.0158329	+	0.332374i
$153$	6.01798	−	1.76704i	0.486525	−	0.142856i
$154$	5.76154	+	12.8643i	0.464278	+	1.03664i
$155$	−13.7036	−	11.8742i	−1.10070	−	0.953762i
$156$	5.95087	+	3.06789i	0.476451	+	0.245628i
$157$	1.42615	−	0.274867i	0.113819	−	0.0219368i	−0.132024	−	0.991247i	$-0.542147\pi$
$157$	1.42615	−	0.274867i	0.113819	−	0.0219368i	0.245843	+	0.969310i	$0.420935\pi$
$158$	−9.79618	−	10.2739i	−0.779342	−	0.817351i
$159$	−11.6971	+	1.11694i	−0.927640	+	0.0885789i
$160$	−2.55722			−0.202166
$161$	12.6877	−	0.145250i	0.999934	−	0.0114473i
$162$	1.00000			0.0785674
$163$	20.8169	−	1.98777i	1.63051	−	0.155694i	0.760705	−	0.649097i	$-0.224853\pi$
$163$	20.8169	−	1.98777i	1.63051	−	0.155694i	0.869801	+	0.493403i	$0.164247\pi$
$164$	5.75502	+	6.03570i	0.449392	+	0.471309i
$165$	−13.3777	+	2.57835i	−1.04146	+	0.200724i
$166$	−4.67171	−	2.40844i	−0.362595	−	0.186931i
$167$	15.5916	+	13.5102i	1.20651	+	1.04545i	0.997720	+	0.0674898i	$0.0214990\pi$
$167$	15.5916	+	13.5102i	1.20651	+	1.04545i	0.208793	+	0.977960i	$0.433046\pi$
$168$	2.63186	+	0.270761i	0.203052	+	0.0208897i
$169$	30.5357	−	8.96609i	2.34890	−	0.689700i
$170$	−0.763165	+	16.0208i	−0.0585321	+	1.22874i
$171$	3.80857	+	1.52472i	0.291248	+	0.116598i
$172$	−0.472082	+	4.94386i	−0.0359959	+	0.376966i
$173$	14.2547	+	10.1507i	1.08376	+	0.771744i	0.974974	−	0.222321i	$-0.0713633\pi$
$173$	14.2547	+	10.1507i	1.08376	+	0.771744i	0.108789	+	0.994065i	$0.465303\pi$
$174$	−0.827661	+	0.119000i	−0.0627448	+	0.00902134i
$175$	3.51214	+	2.06215i	0.265493	+	0.155884i
$176$	−1.50097	−	5.11183i	−0.113140	−	0.385319i
$177$	−10.9638	+	4.38923i	−0.824087	+	0.329915i
$178$	−1.55263	−	4.48603i	−0.116374	−	0.336242i
$179$	−1.03064	−	21.6358i	−0.0770335	−	1.61713i	−0.624995	−	0.780629i	$-0.714899\pi$
$179$	−1.03064	−	21.6358i	−0.0770335	−	1.61713i	0.547962	−	0.836504i	$-0.315404\pi$
$180$	−0.836384	+	2.41657i	−0.0623404	+	0.180121i
$181$	−7.44031	−	2.18467i	−0.553034	−	0.162385i	−0.00673738	−	0.999977i	$-0.502145\pi$
$181$	−7.44031	−	2.18467i	−0.553034	−	0.162385i	−0.546296	+	0.837592i	$0.683963\pi$
$182$	14.0036	−	10.8477i	1.03802	−	0.804083i
$183$			3.46913i			0.256445i
$184$	−4.75899	−	0.593324i	−0.350837	−	0.0437404i
$185$	−4.88091	−	2.81800i	−0.358852	−	0.207183i
$186$	−4.11301	−	5.77591i	−0.301580	−	0.423510i
$187$	−32.4732	+	7.87792i	−2.37468	+	0.576091i
$188$	−0.928634	+	0.804666i	−0.0677276	+	0.0586863i
$189$	1.11667	−	2.39855i	0.0812255	−	0.174469i
$190$	−6.87003	+	7.92843i	−0.498404	+	0.575189i
$191$	1.73752	+	4.34013i	0.125723	+	0.314041i	0.977854	−	0.209288i	$-0.0671145\pi$
$191$	1.73752	+	4.34013i	0.125723	+	0.314041i	−0.852131	+	0.523328i	$0.824690\pi$
$192$	−0.971812	−	0.235759i	−0.0701345	−	0.0170144i
$193$	−8.43213	+	4.34707i	−0.606958	+	0.312909i	−0.734169	−	0.678967i	$-0.762428\pi$
$193$	−8.43213	+	4.34707i	−0.606958	+	0.312909i	0.127211	+	0.991876i	$0.459398\pi$
$194$	−2.90119	+	2.28152i	−0.208294	+	0.163804i
$195$	7.11229	+	15.5737i	0.509322	+	1.11526i
$196$	3.58834	−	6.01031i	0.256310	−	0.429308i
$197$	0.557046	+	3.87434i	0.0396879	+	0.276035i	0.999996	−	0.00290699i	$-0.000925324\pi$
$197$	0.557046	+	3.87434i	0.0396879	+	0.276035i	−0.960308	+	0.278942i	$0.910016\pi$
$198$	−5.32160	−	0.253499i	−0.378190	−	0.0180154i
$199$	−0.718201	+	2.96047i	−0.0509119	+	0.209862i	−0.991586	−	0.129450i	$-0.958679\pi$
$199$	−0.718201	+	2.96047i	−0.0509119	+	0.209862i	0.940674	+	0.339312i	$0.110194\pi$
$200$	−1.21003	−	0.951574i	−0.0855617	−	0.0672865i
$201$	11.8463	+	2.28320i	0.835577	+	0.161044i
$202$	6.15355	+	9.57511i	0.432962	+	0.673702i
$203$	−0.638794	+	2.11807i	−0.0448346	+	0.148659i
$204$	−1.76704	+	6.01798i	−0.123717	+	0.421343i
$205$	2.02720	+	21.2298i	0.141586	+	1.48275i
$206$	−2.03973	+	3.53292i	−0.142115	+	0.246150i
$207$	−2.11720	+	4.30319i	−0.147156	+	0.299092i
$208$	−5.79816	+	3.34757i	−0.402030	+	0.232112i
$209$	−19.8812	−	9.07943i	−1.37521	−	0.628037i
$210$	4.86232	+	4.70462i	0.335532	+	0.324650i
$211$	8.42197	+	9.71947i	0.579792	+	0.669116i	0.967560	−	0.252641i	$-0.0812992\pi$
$211$	8.42197	+	9.71947i	0.579792	+	0.669116i	−0.387768	+	0.921757i	$0.626754\pi$
$212$	5.38430	−	10.4441i	0.369795	−	0.717303i
$213$	−10.5825	+	3.66264i	−0.725101	+	0.250960i
$214$	6.26832	−	7.97081i	0.428493	−	0.544874i
$215$	−8.76404	+	9.19146i	−0.597702	+	0.626852i
$216$	−0.540641	+	0.841254i	−0.0367859	+	0.0572401i
$217$	−18.4467	+	3.41550i	−1.25224	+	0.231859i
$218$	−5.50827	+	2.51554i	−0.373067	+	0.170374i
$219$	−1.20860	+	1.69724i	−0.0816698	+	0.114689i
$220$	5.06351	−	12.6480i	0.341382	−	0.852730i
$221$	19.2419	+	37.3241i	1.29435	+	2.51069i
$222$	−1.59508	−	1.52090i	−0.107055	−	0.102076i
$223$	−11.3646	−	1.63398i	−0.761027	−	0.109419i	−0.249135	−	0.968469i	$-0.580146\pi$
$223$	−11.3646	−	1.63398i	−0.761027	−	0.109419i	−0.511892	+	0.859050i	$0.671055\pi$
$224$	−1.65067	+	2.06768i	−0.110290	+	0.138153i
$225$	−1.29500	+	0.832245i	−0.0863333	+	0.0554830i
$226$	8.03899	+	2.78232i	0.534745	+	0.185077i
$227$	−9.83917	+	9.38163i	−0.653048	+	0.622680i	−0.942378	−	0.334549i	$-0.891416\pi$
$227$	−9.83917	+	9.38163i	−0.653048	+	0.622680i	0.289330	+	0.957229i	$0.406568\pi$
$228$	−3.34174	+	2.37964i	−0.221312	+	0.157596i
$229$	−10.1806	−	17.6333i	−0.672752	−	1.16524i	−0.977121	−	0.212686i	$-0.931779\pi$
$229$	−10.1806	−	17.6333i	−0.672752	−	1.16524i	0.304369	−	0.952554i	$-0.401554\pi$
$230$	−8.62818	−	8.71550i	−0.568925	−	0.574683i
$231$	−6.55049	+	12.4811i	−0.430990	+	0.821194i
$232$	0.347358	−	0.760609i	0.0228052	−	0.0499364i
$233$	1.63205	+	6.72739i	0.106919	+	0.440726i	0.999957	−	0.00925478i	$-0.00294593\pi$
$233$	1.63205	+	6.72739i	0.106919	+	0.440726i	−0.893038	+	0.449981i	$0.851431\pi$
$234$	1.26706	+	6.57415i	0.0828305	+	0.429765i
$235$	−3.13865	+	0.149512i	−0.204743	+	0.00975310i
$236$	2.23500	−	11.5963i	0.145486	−	0.754855i
$237$	2.02026	−	14.0512i	0.131230	−	0.912726i
$238$	12.4612	+	10.9584i	0.807742	+	0.710328i
$239$	23.6430	+	15.1945i	1.52934	+	0.982847i	0.990048	+	0.140729i	$0.0449446\pi$
$239$	23.6430	+	15.1945i	1.52934	+	0.982847i	0.539292	+	0.842119i	$0.318692\pi$
$240$	−1.58077	−	2.01011i	−0.102038	−	0.129752i
$241$	−13.1686	−	1.25745i	−0.848262	−	0.0809992i	−0.338134	−	0.941098i	$-0.609796\pi$
$241$	−13.1686	−	1.25745i	−0.848262	−	0.0809992i	−0.510128	+	0.860099i	$0.670402\pi$
$242$	17.3050	+	1.65243i	1.11241	+	0.106222i
$243$	0.618159	+	0.786053i	0.0396549	+	0.0504253i
$244$	−2.91842	−	1.87555i	−0.186833	−	0.120070i
$245$	16.7139	−	6.40904i	1.06781	−	0.409458i
$246$	−1.18686	+	8.25478i	−0.0756713	+	0.526305i
$247$	−5.19804	+	26.9700i	−0.330743	+	1.71606i
$248$	7.08267	−	0.337389i	0.449750	−	0.0214242i
$249$	−0.994703	−	5.16101i	−0.0630368	−	0.327066i
$250$	2.08637	+	8.60014i	0.131954	+	0.543920i
$251$	7.76385	−	17.0005i	0.490050	−	1.07306i	−0.489526	−	0.871988i	$-0.662830\pi$
$251$	7.76385	−	17.0005i	0.490050	−	1.07306i	0.979577	−	0.201072i	$-0.0644424\pi$
$252$	1.41408	+	2.23616i	0.0890784	+	0.140865i
$253$	12.3578	−	22.3632i	0.776927	−	1.40596i
$254$	0.144207	+	0.249775i	0.00904838	+	0.0156723i
$255$	−13.0650	+	9.30352i	−0.818160	+	0.582609i
$256$	0.723734	−	0.690079i	0.0452334	−	0.0431299i
$257$	−0.830128	−	0.287310i	−0.0517820	−	0.0179219i	0.301054	−	0.953607i	$-0.402661\pi$
$257$	−0.830128	−	0.287310i	−0.0517820	−	0.0179219i	−0.352836	+	0.935685i	$0.614783\pi$
$258$	−4.17796	+	2.68501i	−0.260109	+	0.167162i
$259$	−5.42913	+	2.12753i	−0.337350	+	0.132199i
$260$	−16.9467	−	2.43656i	−1.05099	−	0.151109i
$261$	−0.605166	−	0.577025i	−0.0374588	−	0.0357169i
$262$	2.42680	+	4.70734i	0.149928	+	0.290820i
$263$	2.87145	−	7.17254i	0.177061	−	0.442278i	−0.813115	−	0.582103i	$-0.802230\pi$
$263$	2.87145	−	7.17254i	0.177061	−	0.442278i	0.990176	+	0.139825i	$0.0446542\pi$
$264$	3.09033	−	4.33977i	0.190197	−	0.267094i
$265$	27.3327	−	12.4824i	1.67904	−	0.766790i
$266$	1.97609	+	10.6726i	0.121162	+	0.654380i
$267$	2.56648	−	3.99353i	0.157066	−	0.244400i
$268$	−8.32537	+	8.73139i	−0.508553	+	0.533355i
$269$	1.03300	−	1.31356i	0.0629829	−	0.0800893i	−0.753541	−	0.657401i	$-0.771656\pi$
$269$	1.03300	−	1.31356i	0.0629829	−	0.0800893i	0.816524	+	0.577312i	$0.195898\pi$
$270$	−2.41657	+	0.836384i	−0.147068	+	0.0509007i
$271$	7.02550	−	13.6276i	0.426769	−	0.827815i	−0.573196	−	0.819418i	$-0.694297\pi$
$271$	7.02550	−	13.6276i	0.426769	−	0.827815i	0.999965	−	0.00839732i	$-0.00267298\pi$
$272$	−4.10731	−	4.74009i	−0.249042	−	0.287410i
$273$	17.1833	+	4.30201i	1.03998	+	0.260370i
$274$	−4.42217	−	2.01954i	−0.267153	−	0.122005i
$275$	7.10245	−	4.10060i	0.428294	−	0.247275i
$276$	−2.47543	−	4.10759i	−0.149003	−	0.247248i
$277$	1.40851	−	2.43961i	0.0846291	−	0.146582i	−0.820604	−	0.571497i	$-0.806363\pi$
$277$	1.40851	−	2.43961i	0.0846291	−	0.146582i	0.905233	+	0.424915i	$0.139696\pi$
$278$	−1.08630	−	11.3762i	−0.0651517	−	0.682299i
$279$	1.99768	−	6.80347i	0.119598	−	0.407313i
$280$	−6.58655	+	1.54693i	−0.393621	+	0.0924469i
$281$	12.7880	+	19.8985i	0.762868	+	1.18705i	0.977620	+	0.210378i	$0.0674693\pi$
$281$	12.7880	+	19.8985i	0.762868	+	1.18705i	−0.214752	+	0.976669i	$0.568894\pi$
$282$	−1.20655	−	0.232544i	−0.0718492	−	0.0138478i
$283$	−5.70068	−	4.48307i	−0.338871	−	0.266491i	0.434192	−	0.900820i	$-0.357034\pi$
$283$	−5.70068	−	4.48307i	−0.338871	−	0.266491i	−0.773063	+	0.634329i	$0.781276\pi$
$284$	2.64012	−	10.8827i	0.156662	−	0.645771i
$285$	−10.4789	−	0.499173i	−0.620719	−	0.0295685i
$286$	−5.07627	−	35.3062i	−0.300166	−	2.08770i
$287$	18.4742	+	12.0646i	1.09050	+	0.712149i
$288$	−0.415415	−	0.909632i	−0.0244786	−	0.0536006i
$289$	−17.5592	+	13.8087i	−1.03289	+	0.812278i
$290$	1.90057	−	0.979814i	0.111606	−	0.0575367i
$291$	−3.58680	−	0.870148i	−0.210262	−	0.0510090i
$292$	−0.774393	−	1.93434i	−0.0453179	−	0.113199i
$293$	−11.6749	+	13.4736i	−0.682056	+	0.787135i	−0.986212	−	0.165488i	$-0.947080\pi$
$293$	−11.6749	+	13.4736i	−0.682056	+	0.787135i	0.304156	+	0.952622i	$0.401626\pi$
$294$	6.94259	−	0.894696i	0.404900	−	0.0521797i
$295$	22.8237	−	19.7768i	1.32885	−	1.15145i
$296$	2.14183	−	0.519602i	0.124491	−	0.0302012i
$297$	−3.09033	−	4.33977i	−0.179319	−	0.251819i
$298$	−8.61641	−	4.97469i	−0.499135	−	0.288176i
$299$	−30.9724	−	8.46640i	−1.79118	−	0.489624i
$300$		−	1.53937i		−	0.0888755i
$301$	1.77476	+	13.0193i	0.102295	+	0.750421i
$302$	−5.68339	−	1.66879i	−0.327042	−	0.0960282i
$303$	−3.72267	+	10.7560i	−0.213862	+	0.617914i
$304$	−0.195202	−	4.09779i	−0.0111956	−	0.235024i
$305$	−2.90153	−	8.38341i	−0.166141	−	0.480032i
$306$	−5.82276	+	2.33108i	−0.332865	+	0.133259i
$307$	5.67879	+	19.3402i	0.324106	+	1.10380i	0.946930	+	0.321441i	$0.104167\pi$
$307$	5.67879	+	19.3402i	0.324106	+	1.10380i	−0.622824	+	0.782362i	$0.714015\pi$
$308$	−6.95829	−	12.2584i	−0.396485	−	0.698487i
$309$	−4.03794	+	0.580568i	−0.229710	+	0.0330274i
$310$	14.7703	+	10.5179i	0.838895	+	0.597374i
$311$	−1.72912	+	18.1082i	−0.0980493	+	1.02682i	0.803838	+	0.594848i	$0.202788\pi$
$311$	−1.72912	+	18.1082i	−0.0980493	+	1.02682i	−0.901887	+	0.431971i	$0.857818\pi$
$312$	−6.21555	−	2.48833i	−0.351886	−	0.140874i
$313$	−0.710327	+	14.9116i	−0.0401501	+	0.842854i	0.885538	+	0.464567i	$0.153790\pi$
$313$	−0.710327	+	14.9116i	−0.0401501	+	0.842854i	−0.925688	+	0.378287i	$0.876513\pi$
$314$	−1.39356	+	0.409186i	−0.0786432	+	0.0230917i
$315$	−0.692395	+	6.73024i	−0.0390120	+	0.379206i
$316$	10.7284	+	9.29623i	0.603521	+	0.522954i
$317$	−1.81749	−	0.936983i	−0.102081	−	0.0526262i	0.406430	−	0.913682i	$-0.366773\pi$
$317$	−1.81749	−	0.936983i	−0.102081	−	0.0526262i	−0.508511	+	0.861056i	$0.669804\pi$
$318$	11.5380	−	2.22376i	0.647017	−	0.124702i
$319$	3.07418	+	3.22411i	0.172121	+	0.180515i
$320$	2.54564	−	0.243079i	0.142306	−	0.0135885i
$321$	10.1403			0.565976
$322$	−12.6165	+	1.35064i	−0.703089	+	0.0752682i
$323$	−25.7306			−1.43169
$324$	−0.995472	+	0.0950560i	−0.0553040	+	0.00528089i
$325$	−7.11215	−	7.45901i	−0.394511	−	0.413751i
$326$	−20.5337	+	3.95755i	−1.13726	+	0.219188i
$327$	−5.38234	−	2.77479i	−0.297644	−	0.153446i
$328$	−6.30270	−	5.46132i	−0.348008	−	0.301551i
$329$	−1.90509	+	2.63431i	−0.105031	+	0.145234i
$330$	13.0721	−	3.83831i	0.719594	−	0.211292i
$331$	1.15815	−	24.3126i	0.0636577	−	1.33634i	−0.710657	−	0.703539i	$-0.751602\pi$
$331$	1.15815	−	24.3126i	0.0636577	−	1.33634i	0.774314	−	0.632801i	$-0.218095\pi$
$332$	4.87950	+	1.95346i	0.267797	+	0.107210i
$333$	0.209499	−	2.19397i	0.0114805	−	0.120229i
$334$	−16.8052	−	11.9669i	−0.919540	−	0.654802i
$335$	−30.5372	+	4.39059i	−1.66843	+	0.239883i
$336$	−2.64568	−	0.0193607i	−0.144334	−	0.00105621i
$337$	5.17351	+	17.6194i	0.281819	+	0.959787i	0.971770	+	0.235931i	$0.0758140\pi$
$337$	5.17351	+	17.6194i	0.281819	+	0.959787i	−0.689951	+	0.723856i	$0.742368\pi$
$338$	−29.5452	+	11.8281i	−1.60704	+	0.643364i
$339$	2.78232	+	8.03899i	0.151115	+	0.436618i
$340$	−0.763165	−	16.0208i	−0.0413884	−	0.868850i
$341$	−12.3555	+	35.6990i	−0.669090	+	1.93321i
$342$	−3.93626	−	1.15579i	−0.212848	−	0.0624979i
$343$	5.60658	−	17.6512i	0.302727	−	0.953077i
$344$		−	4.96635i		−	0.267768i
$345$	1.51726	−	12.1698i	0.0816865	−	0.655199i
$346$	−15.1550	−	8.74975i	−0.814738	−	0.470389i
$347$	10.3955	+	14.5984i	0.558059	+	0.783684i	0.993168	−	0.116694i	$-0.0372296\pi$
$347$	10.3955	+	14.5984i	0.558059	+	0.783684i	−0.435109	+	0.900378i	$0.643290\pi$
$348$	0.812601	−	0.197135i	0.0435600	−	0.0105675i
$349$	3.02588	−	2.62194i	0.161972	−	0.140349i	−0.570104	−	0.821572i	$-0.693097\pi$
$349$	3.02588	−	2.62194i	0.161972	−	0.140349i	0.732076	+	0.681223i	$0.238552\pi$
$350$	−3.69226	−	1.71896i	−0.197359	−	0.0918823i
$351$	−4.38438	+	5.05985i	−0.234021	+	0.270075i
$352$	1.98008	+	4.94601i	0.105539	+	0.263623i
$353$	−29.2011	−	7.08411i	−1.55422	−	0.377049i	−0.635544	−	0.772065i	$-0.719224\pi$
$353$	−29.2011	−	7.08411i	−1.55422	−	0.377049i	−0.918675	+	0.395015i	$0.870739\pi$
$354$	10.4969	−	5.41153i	0.557904	−	0.287619i
$355$	22.5100	−	17.7021i	1.19471	−	0.939528i
$356$	1.97202	+	4.31813i	0.104517	+	0.228860i
$357$	−0.910858	+	16.5692i	−0.0482077	+	0.876937i
$358$	3.08258	+	21.4398i	0.162919	+	1.13313i
$359$	5.27385	+	0.251224i	0.278343	+	0.0132591i	0.186289	−	0.982495i	$-0.440354\pi$
$359$	5.27385	+	0.251224i	0.278343	+	0.0132591i	0.0920538	+	0.995754i	$0.470657\pi$
$360$	0.602887	−	2.48513i	0.0317749	−	0.130978i
$361$	1.70577	+	1.34143i	0.0897774	+	0.0706017i
$362$	7.61428	+	1.46753i	0.400198	+	0.0771318i
$363$	9.39835	+	14.6241i	0.493286	+	0.767567i
$364$	−12.9091	+	12.1297i	−0.676620	+	0.635768i
$365$	1.50113	−	5.11237i	0.0785727	−	0.267594i
$366$	−0.329762	−	3.45342i	−0.0172369	−	0.180513i
$367$	18.8824	−	32.7053i	0.985655	−	1.70721i	0.346668	−	0.937988i	$-0.387313\pi$
$367$	18.8824	−	32.7053i	0.985655	−	1.70721i	0.638988	−	0.769217i	$-0.279353\pi$
$368$	4.79384	+	0.138267i	0.249896	+	0.00720765i
$369$	−7.22236	+	4.16983i	−0.375981	+	0.217073i
$370$	5.12668	+	2.34128i	0.266523	+	0.121717i
$371$	7.55025	−	30.1576i	0.391989	−	1.56570i
$372$	4.64342	+	5.35879i	0.240750	+	0.277840i
$373$	4.42031	−	8.57420i	0.228875	−	0.443955i	−0.746234	−	0.665684i	$-0.768140\pi$
$373$	4.42031	−	8.57420i	0.228875	−	0.443955i	0.975108	+	0.221729i	$0.0711701\pi$
$374$	31.5773	−	10.9290i	1.63283	−	0.565126i
$375$	−5.47045	+	6.95625i	−0.282493	+	0.359219i
$376$	0.847941	−	0.889295i	0.0437292	−	0.0458619i
$377$	3.02666	−	4.70958i	0.155881	−	0.242555i
$378$	−0.883613	+	2.49384i	−0.0454482	+	0.128269i
$379$	21.7146	−	9.91673i	1.11540	−	0.509388i	0.229525	−	0.973303i	$-0.426283\pi$
$379$	21.7146	−	9.91673i	1.11540	−	0.509388i	0.885880	+	0.463915i	$0.153556\pi$
$380$	6.08527	−	8.54557i	0.312168	−	0.438378i
$381$	−0.107193	+	0.267755i	−0.00549166	+	0.0137175i
$382$	−2.14221	−	4.15531i	−0.109605	−	0.212604i
$383$	1.03891	+	0.990594i	0.0530856	+	0.0506170i	0.716158	−	0.697939i	$-0.245899\pi$
$383$	1.03891	+	0.990594i	0.0530856	+	0.0506170i	−0.663072	+	0.748556i	$0.730748\pi$
$384$	0.989821	+	0.142315i	0.0505116	+	0.00726247i
$385$	5.39076	−	35.6402i	0.274739	−	1.81639i
$386$	7.98073	−	5.12891i	0.406209	−	0.261054i
$387$	−4.69321	−	1.62433i	−0.238569	−	0.0825696i
$388$	2.67118	−	2.54697i	0.135609	−	0.129303i
$389$	−15.4457	+	10.9988i	−0.783128	+	0.557663i	−0.900208	−	0.435459i	$-0.856586\pi$
$389$	−15.4457	+	10.9988i	−0.783128	+	0.557663i	0.117080	+	0.993122i	$0.462647\pi$
$390$	−8.56046	−	14.8272i	−0.433476	−	0.750802i
$391$	2.29688	−	29.9918i	0.116158	−	1.51675i
$392$	−3.00078	+	6.32419i	−0.151562	+	0.319420i
$393$	−2.20007	+	4.81748i	−0.110979	+	0.243009i
$394$	−0.922803	−	3.80384i	−0.0464901	−	0.191635i
$395$	6.87012	+	35.6456i	0.345673	+	1.79352i
$396$	5.32160	−	0.253499i	0.267421	−	0.0127388i
$397$	−5.82010	+	30.1976i	−0.292103	+	1.51557i	0.478404	+	0.878140i	$0.341215\pi$
$397$	−5.82010	+	30.1976i	−0.292103	+	1.51557i	−0.770507	+	0.637432i	$0.779997\pi$
$398$	0.433539	−	3.01533i	0.0217313	−	0.151145i
$399$	−7.16771	+	8.15069i	−0.358834	+	0.408045i
$400$	1.29500	+	0.832245i	0.0647500	+	0.0416123i
$401$	−4.66303	−	5.92952i	−0.232860	−	0.296106i	0.655554	−	0.755148i	$-0.272435\pi$
$401$	−4.66303	−	5.92952i	−0.232860	−	0.296106i	−0.888415	+	0.459042i	$0.848193\pi$
$402$	−12.0097	−	1.14679i	−0.598991	−	0.0571967i
$403$	47.2582	+	4.51261i	2.35410	+	0.224789i
$404$	−7.03586	−	8.94682i	−0.350047	−	0.445121i
$405$	−2.15127	−	1.38254i	−0.106897	−	0.0686988i
$406$	0.434566	−	2.16920i	0.0215672	−	0.107656i
$407$	−1.67104	+	11.6224i	−0.0828305	+	0.576099i
$408$	1.18699	−	6.15869i	0.0587648	−	0.304901i
$409$	8.00294	−	0.381227i	0.395720	−	0.0188505i	0.151221	−	0.988500i	$-0.451680\pi$
$409$	8.00294	−	0.381227i	0.395720	−	0.0188505i	0.244499	+	0.969650i	$0.421376\pi$
$410$	−4.03604	−	20.9409i	−0.199326	−	1.03420i
$411$	−1.14614	−	4.72446i	−0.0565349	−	0.233040i
$412$	1.69467	−	3.71081i	0.0834904	−	0.182819i
$413$	−1.25830	−	31.2202i	−0.0619169	−	1.53625i
$414$	1.69857	−	4.48496i	0.0834803	−	0.220424i
$415$	6.72036	+	11.6400i	0.329890	+	0.571386i
$416$	5.45370	−	3.88356i	0.267389	−	0.190407i
$417$	8.27079	−	7.88619i	0.405023	−	0.386188i
$418$	20.6542	+	7.14849i	1.01023	+	0.349644i
$419$	−31.7193	+	20.3847i	−1.54959	+	0.995860i	−0.564181	+	0.825651i	$0.690808\pi$
$419$	−31.7193	+	20.3847i	−1.54959	+	0.995860i	−0.985408	+	0.170209i	$0.945556\pi$
$420$	−5.28750	−	4.22112i	−0.258004	−	0.205970i
$421$	9.28929	+	1.33560i	0.452732	+	0.0650930i	0.364909	−	0.931043i	$-0.381100\pi$
$421$	9.28929	+	1.33560i	0.452732	+	0.0650930i	0.0878228	+	0.996136i	$0.472009\pi$
$422$	−9.30773	−	8.87490i	−0.453093	−	0.432023i
$423$	−0.563050	−	1.09216i	−0.0273764	−	0.0531029i
$424$	−4.36715	+	10.9086i	−0.212087	+	0.529769i
$425$	5.60044	−	7.86471i	0.271661	−	0.381495i
$426$	10.1864	−	4.65198i	0.493534	−	0.225389i
$427$	−8.65145	−	3.06537i	−0.418673	−	0.148344i
$428$	−5.48226	+	8.53056i	−0.264995	+	0.412340i
$429$	24.6146	−	25.8151i	1.18840	−	1.24636i
$430$	7.85065	−	9.98291i	0.378592	−	0.481419i
$431$	−3.64790	+	1.26255i	−0.175713	+	0.0608149i	−0.413508	−	0.910500i	$-0.635697\pi$
$431$	−3.64790	+	1.26255i	−0.175713	+	0.0608149i	0.237795	+	0.971315i	$0.423575\pi$
$432$	0.458227	−	0.888835i	0.0220464	−	0.0427641i
$433$	0.451427	+	0.520974i	0.0216942	+	0.0250364i	0.766493	−	0.642253i	$-0.222000\pi$
$433$	0.451427	+	0.520974i	0.0216942	+	0.0250364i	−0.744799	+	0.667289i	$0.767455\pi$
$434$	18.0385	−	5.15350i	0.865875	−	0.247376i
$435$	1.94504	+	0.888271i	0.0932577	+	0.0425893i
$436$	5.24421	−	3.02775i	0.251152	−	0.145003i
$437$	13.3074	−	14.4914i	0.636581	−	0.693218i
$438$	1.04180	−	1.80444i	0.0497790	−	0.0862197i
$439$	1.32253	+	13.8501i	0.0631207	+	0.661030i	0.970562	+	0.240851i	$0.0774266\pi$
$439$	1.32253	+	13.8501i	0.0631207	+	0.661030i	−0.907441	+	0.420179i	$0.861967\pi$
$440$	−3.83831	+	13.0721i	−0.182984	+	0.623187i
$441$	4.99490	+	4.90418i	0.237852	+	0.233532i
$442$	−22.7027	−	35.3260i	−1.07986	−	1.68029i
$443$	33.9541	+	6.54411i	1.61321	+	0.310920i	0.914530	−	0.404518i	$-0.132561\pi$
$443$	33.9541	+	6.54411i	1.61321	+	0.310920i	0.698676	+	0.715438i	$0.253773\pi$
$444$	1.73242	+	1.36239i	0.0822172	+	0.0646564i
$445$	−2.86197	+	11.7972i	−0.135671	+	0.559242i
$446$	11.4684	+	0.546308i	0.543046	+	0.0258684i
$447$	−1.41594	−	9.84810i	−0.0669718	−	0.465799i
$448$	1.44665	−	2.21522i	0.0683478	−	0.104659i
$449$	−6.74677	−	14.7734i	−0.318400	−	0.697198i	0.680984	−	0.732298i	$-0.261552\pi$
$449$	−6.74677	−	14.7734i	−0.318400	−	0.697198i	−0.999384	+	0.0351002i	$0.988825\pi$
$450$	1.21003	−	0.951574i	0.0570411	−	0.0448577i
$451$	39.4916	−	20.3593i	1.85959	−	0.958683i
$452$	−8.26706	−	2.00557i	−0.388850	−	0.0943340i
$453$	−2.20148	−	5.49902i	−0.103434	−	0.258367i
$454$	8.90283	−	10.2744i	0.417831	−	0.482202i
$455$	−45.1229	+	3.97573i	−2.11539	+	0.186385i
$456$	3.10041	−	2.68652i	0.145190	−	0.125808i
$457$	−23.1939	+	5.62678i	−1.08497	+	0.263210i	−0.738090	−	0.674702i	$-0.764272\pi$
$457$	−23.1939	+	5.62678i	−1.08497	+	0.263210i	−0.346875	+	0.937912i	$0.612757\pi$
$458$	11.8106	+	16.5857i	0.551875	+	0.775000i
$459$	−5.43174	−	3.13602i	−0.253532	−	0.146377i
$460$	9.41757	+	7.85588i	0.439097	+	0.366282i
$461$		−	15.0800i		−	0.702345i	−0.936311	−	0.351172i	$-0.885783\pi$
$461$		−	15.0800i		−	0.702345i	0.936311	−	0.351172i	$-0.114217\pi$
$462$	5.33443	−	13.0472i	0.248180	−	0.607012i
$463$	0.705452	+	0.207139i	0.0327851	+	0.00962659i	0.298084	−	0.954540i	$-0.403652\pi$
$463$	0.705452	+	0.207139i	0.0327851	+	0.00962659i	−0.265299	+	0.964166i	$0.585471\pi$
$464$	−0.273485	+	0.790183i	−0.0126962	+	0.0366833i
$465$	0.862777	+	18.1119i	0.0400103	+	0.839920i
$466$	−2.26414	−	6.54179i	−0.104884	−	0.303043i
$467$	−8.92958	+	3.57486i	−0.413211	+	0.165425i	−0.568948	−	0.822374i	$-0.692649\pi$
$467$	−8.92958	+	3.57486i	−0.413211	+	0.165425i	0.155736	+	0.987799i	$0.450225\pi$
$468$	−1.88624	−	6.42394i	−0.0871914	−	0.296947i
$469$	−16.1615	+	27.5254i	−0.746269	+	1.27101i
$470$	3.11022	−	0.447182i	0.143464	−	0.0206270i
$471$	−1.18308	−	0.842471i	−0.0545137	−	0.0388190i
$472$	−1.12259	+	11.7562i	−0.0516712	+	0.541125i
$473$	24.5636	+	9.83379i	1.12944	+	0.452158i
$474$	−0.675460	+	14.1797i	−0.0310249	+	0.651293i
$475$	6.05935	−	1.77919i	0.278022	−	0.0816346i
$476$	−13.4465	−	9.72427i	−0.616318	−	0.445711i
$477$	8.88029	+	7.69481i	0.406600	+	0.352321i
$478$	−24.9803	−	12.8782i	−1.14257	−	0.589037i
$479$	29.0521	−	5.59934i	1.32743	−	0.255840i	0.524241	−	0.851570i	$-0.324349\pi$
$479$	29.0521	−	5.59934i	1.32743	−	0.255840i	0.803185	+	0.595730i	$0.203137\pi$
$480$	1.76468	+	1.85075i	0.0805464	+	0.0844746i
$481$	14.6890	−	1.40263i	0.669759	−	0.0639542i
$482$	13.2285			0.602540
$483$	−8.86067	−	9.08232i	−0.403174	−	0.413260i
$484$	−17.3837			−0.790170
$485$	9.39554	−	0.897165i	0.426630	−	0.0407382i
$486$	−0.690079	−	0.723734i	−0.0313026	−	0.0328292i
$487$	−18.4105	+	3.54832i	−0.834257	+	0.160790i	−0.588455	−	0.808530i	$-0.700264\pi$
$487$	−18.4105	+	3.54832i	−0.834257	+	0.160790i	−0.245802	+	0.969320i	$0.579051\pi$
$488$	3.08348	+	1.58965i	0.139583	+	0.0719599i
$489$	−15.8039	−	13.6942i	−0.714679	−	0.619273i
$490$	−16.0290	+	7.96877i	−0.724115	+	0.359992i
$491$	2.69398	−	0.791023i	0.121577	−	0.0356984i	−0.220378	−	0.975415i	$-0.570729\pi$
$491$	2.69398	−	0.791023i	0.121577	−	0.0356984i	0.341955	+	0.939716i	$0.388911\pi$
$492$	0.396817	−	8.33021i	0.0178899	−	0.375555i
$493$	4.86883	+	1.94918i	0.219281	+	0.0877868i
$494$	2.61084	−	27.3420i	0.117467	−	1.23017i
$495$	11.0977	+	7.90266i	0.498806	+	0.355198i
$496$	−7.01852	+	1.00911i	−0.315141	+	0.0453104i
$497$	0.216808	−	29.6274i	0.00972518	−	1.32897i
$498$	1.48078	+	5.04309i	0.0663555	+	0.225986i
$499$	−7.46412	+	2.98818i	−0.334140	+	0.133769i	−0.532664	−	0.846327i	$-0.678809\pi$
$499$	−7.46412	+	2.98818i	−0.334140	+	0.133769i	0.198525	+	0.980096i	$0.436385\pi$
$500$	−2.89442	−	8.36287i	−0.129442	−	0.373999i
$501$	−0.981645	−	20.6073i	−0.0438566	−	0.920664i
$502$	−6.11270	+	17.6615i	−0.272823	+	0.788271i
$503$	15.5438	+	4.56407i	0.693064	+	0.203502i	0.609249	−	0.792979i	$-0.291471\pi$
$503$	15.5438	+	4.56407i	0.693064	+	0.203502i	0.0838155	+	0.996481i	$0.473289\pi$
$504$	−1.62023	−	2.09161i	−0.0721709	−	0.0931679i
$505$		−	29.1061i		−	1.29521i
$506$	−10.1761	+	23.4366i	−0.452381	+	1.04188i
$507$	−27.5611	−	15.9124i	−1.22403	−	0.706695i
$508$	−0.167297	−	0.234936i	−0.00742261	−	0.0104236i
$509$	−5.72602	+	1.38912i	−0.253801	+	0.0615715i	−0.360641	−	0.932705i	$-0.617442\pi$
$509$	−5.72602	+	1.38912i	−0.253801	+	0.0615715i	0.106840	+	0.994276i	$0.465927\pi$
$510$	12.1214	−	10.5033i	0.536747	−	0.465094i
$511$	−3.16472	−	4.51377i	−0.139999	−	0.199677i
$512$	−0.654861	+	0.755750i	−0.0289410	+	0.0333997i
$513$	−1.52472	−	3.80857i	−0.0673180	−	0.168152i
$514$	0.853679	+	0.207100i	0.0376542	+	0.00913481i
$515$	9.27240	−	4.78026i	0.408591	−	0.210643i
$516$	3.90382	−	3.07000i	0.171856	−	0.135149i
$517$	2.71947	+	5.95480i	0.119602	+	0.261892i
$518$	5.20231	−	2.63397i	0.228577	−	0.115730i
$519$	−2.49044	−	17.3214i	−0.109318	−	0.760324i
$520$	17.1015	+	0.814647i	0.749952	+	0.0357246i
$521$	−3.08151	+	12.7022i	−0.135003	+	0.556492i	0.863625	+	0.504135i	$0.168188\pi$
$521$	−3.08151	+	12.7022i	−0.135003	+	0.556492i	−0.998628	+	0.0523568i	$0.983327\pi$
$522$	0.657275	+	0.516887i	0.0287682	+	0.0226235i
$523$	−27.3315	−	5.26771i	−1.19512	−	0.230341i	−0.447389	−	0.894340i	$-0.647646\pi$
$523$	−27.3315	−	5.26771i	−1.19512	−	0.230341i	−0.747734	+	0.663999i	$0.768858\pi$
$524$	−2.86327	−	4.45534i	−0.125083	−	0.194632i
$525$	−0.931207	−	3.96490i	−0.0406412	−	0.173042i
$526$	−2.17666	+	7.41301i	−0.0949067	+	0.323223i
$527$	4.22744	+	44.2717i	0.184150	+	1.92851i
$528$	−2.66382	+	4.61387i	−0.115928	+	0.200793i
$529$	15.7034	+	16.8049i	0.682757	+	0.730646i
$530$	−26.0224	+	15.0240i	−1.13034	+	0.652603i
$531$	10.7425	+	4.90593i	0.466185	+	0.212899i
$532$	−2.98164	−	10.4365i	−0.129270	−	0.452478i
$533$	−36.5643	−	42.1974i	−1.58377	−	1.82777i
$534$	−2.17525	+	4.21940i	−0.0941324	+	0.182591i
$535$	−24.5048	+	8.48119i	−1.05943	+	0.366674i
$536$	7.45770	−	9.48323i	0.322123	−	0.409613i
$537$	−14.9473	+	15.6763i	−0.645024	+	0.676482i
$538$	−0.903458	+	1.40581i	−0.0389508	+	0.0606087i
$539$	−25.3377	−	27.3643i	−1.09137	−	1.17866i
$540$	2.32613	−	1.06231i	0.100101	−	0.0457144i
$541$	10.0690	−	14.1399i	0.432901	−	0.607924i	−0.539289	−	0.842121i	$-0.681307\pi$
$541$	10.0690	−	14.1399i	0.432901	−	0.607924i	0.972189	+	0.234197i	$0.0752462\pi$
$542$	−5.69830	+	14.2337i	−0.244763	+	0.611389i
$543$	3.55328	+	6.89240i	0.152486	+	0.295781i
$544$	4.53929	+	4.32820i	0.194620	+	0.185570i
$545$	15.3276	+	2.20378i	0.656562	+	0.0943994i
$546$	−17.5144	−	2.64915i	−0.749549	−	0.113373i
$547$	−34.9404	+	22.4548i	−1.49394	+	0.960098i	−0.498284	+	0.867014i	$0.666036\pi$
$547$	−34.9404	+	22.4548i	−1.49394	+	0.960098i	−0.995658	+	0.0930839i	$0.970328\pi$
$548$	4.59412	+	1.59004i	0.196251	+	0.0679231i
$549$	2.51073	−	2.39397i	0.107155	−	0.102172i
$550$	−6.68050	+	4.75716i	−0.284857	+	0.202846i
$551$	1.71517	+	2.97076i	0.0730687	+	0.126559i
$552$	2.85467	+	3.85368i	0.121503	+	0.164024i
$553$	33.2564	+	17.4541i	1.41421	+	0.742223i
$554$	−1.17023	+	2.56245i	−0.0497184	+	0.108868i
$555$	1.32874	+	5.47712i	0.0564017	+	0.232491i
$556$	2.16275	+	11.2214i	0.0917212	+	0.475895i
$557$	−16.7823	+	0.799439i	−0.711089	+	0.0338733i	−0.400010	−	0.916511i	$-0.630993\pi$
$557$	−16.7823	+	0.799439i	−0.711089	+	0.0338733i	−0.311079	+	0.950384i	$0.600690\pi$
$558$	−1.34192	+	6.96256i	−0.0568081	+	0.294749i
$559$	4.73203	−	32.9120i	0.200143	−	1.39203i
$560$	6.40968	−	2.16602i	0.270858	−	0.0915310i
$561$	28.1106	+	18.0656i	1.18683	+	0.762730i
$562$	−14.6216	−	18.5928i	−0.616774	−	0.784292i
$563$	−0.375726	−	0.0358774i	−0.0158349	−	0.00151205i	0.0871356	−	0.996196i	$-0.472229\pi$
$563$	−0.375726	−	0.0358774i	−0.0158349	−	0.00151205i	−0.102971	+	0.994684i	$0.532835\pi$
$564$	1.22319	+	0.116801i	0.0515058	+	0.00491821i
$565$	−13.4474	−	17.0997i	−0.565735	−	0.719391i
$566$	6.10101	+	3.92088i	0.256445	+	0.164807i
$567$	−2.50650	+	0.847021i	−0.105263	+	0.0355716i
$568$	−1.59370	+	11.0844i	−0.0668701	+	0.465092i
$569$	−2.03349	+	10.5507i	−0.0852483	+	0.442310i	0.914076	+	0.405544i	$0.132918\pi$
$569$	−2.03349	+	10.5507i	−0.0852483	+	0.442310i	−0.999324	+	0.0367663i	$0.988294\pi$
$570$	10.4789	−	0.499173i	0.438914	−	0.0209081i
$571$	7.72836	+	40.0986i	0.323422	+	1.67807i	0.671811	+	0.740722i	$0.265517\pi$
$571$	7.72836	+	40.0986i	0.323422	+	1.67807i	−0.348389	+	0.937350i	$0.613271\pi$
$572$	8.40935	+	34.6638i	0.351612	+	1.44937i
$573$	1.94207	−	4.25254i	0.0811311	−	0.177652i
$574$	−19.5373	−	10.2539i	−0.815473	−	0.427988i
$575$	1.53294	+	7.22165i	0.0639278	+	0.301163i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	−8.59781	+	6.12247i	−0.357931	+	0.254882i	−0.744850	−	0.667232i	$-0.767479\pi$
$577$	−8.59781	+	6.12247i	−0.357931	+	0.254882i	0.386918	+	0.922114i	$0.373540\pi$
$578$	16.1671	−	15.4153i	0.672463	−	0.641192i
$579$	8.96496	+	3.10280i	0.372571	+	0.128948i
$580$	−1.79883	+	1.15604i	−0.0746924	+	0.0480019i
$581$	13.7497	+	2.07971i	0.570432	+	0.0862808i
$582$	3.65327	+	0.525261i	0.151433	+	0.0217728i
$583$	−45.3067	−	43.1999i	−1.87641	−	1.78916i
$584$	0.954758	+	1.85197i	0.0395082	+	0.0766351i
$585$	6.36321	−	15.8945i	0.263086	−	0.657158i
$586$	10.3413	−	14.5223i	0.427195	−	0.599912i
$587$	−8.23604	+	3.76127i	−0.339938	+	0.155244i	−0.578067	−	0.815989i	$-0.696193\pi$
$587$	−8.23604	+	3.76127i	−0.339938	+	0.155244i	0.238130	+	0.971233i	$0.423466\pi$
$588$	−6.82610	+	1.55058i	−0.281504	+	0.0639448i
$589$	−15.7268	+	24.4713i	−0.648010	+	1.00832i
$590$	−20.8404	+	21.8568i	−0.857986	+	0.899830i
$591$	2.41958	−	3.07675i	0.0995284	−	0.126561i
$592$	−2.08274	+	0.720843i	−0.0856000	+	0.0296265i
$593$	15.9215	−	30.8834i	0.653817	−	1.26823i	−0.295930	−	0.955210i	$-0.595629\pi$
$593$	15.9215	−	30.8834i	0.653817	−	1.26823i	0.949747	−	0.313019i	$-0.101340\pi$
$594$	3.48886	+	4.02636i	0.143150	+	0.165204i
$595$	−11.6571	−	40.8026i	−0.477894	−	1.67274i
$596$	9.05027	+	4.13312i	0.370713	+	0.169299i
$597$	2.63820	−	1.52317i	0.107975	−	0.0623391i
$598$	31.6370	+	5.48394i	1.29373	+	0.224255i
$599$	4.02036	−	6.96346i	0.164267	−	0.284519i	−0.772127	−	0.635468i	$-0.780807\pi$
$599$	4.02036	−	6.96346i	0.164267	−	0.284519i	0.936395	+	0.350948i	$0.114141\pi$
$600$	0.146326	+	1.53240i	0.00597375	+	0.0625599i
$601$	−7.37400	+	25.1135i	−0.300792	+	1.02440i	0.660947	+	0.750433i	$0.270155\pi$
$601$	−7.37400	+	25.1135i	−0.300792	+	1.02440i	−0.961738	+	0.273969i	$0.911663\pi$
$602$	−3.00429	−	12.7917i	−0.122446	−	0.521350i
$603$	−6.52249	−	10.1492i	−0.265616	−	0.413307i
$604$	5.81628	+	1.12100i	0.236661	+	0.0456127i
$605$	−34.9432	−	27.4796i	−1.42064	−	1.11721i
$606$	2.68340	−	11.0611i	0.109006	−	0.449327i
$607$	37.2252	+	1.77326i	1.51093	+	0.0719743i	0.786591	−	0.617474i	$-0.211844\pi$
$607$	37.2252	+	1.77326i	1.51093	+	0.0719743i	0.724335	+	0.689448i	$0.242147\pi$
$608$	0.583837	+	4.06068i	0.0236777	+	0.164682i
$609$	1.97374	−	0.999319i	0.0799799	−	0.0404945i
$610$	3.68528	+	8.06964i	0.149213	+	0.326730i
$611$	6.46663	−	5.08541i	0.261612	−	0.205734i
$612$	5.57481	−	2.87401i	0.225348	−	0.116175i
$613$	3.93445	+	0.954486i	0.158911	+	0.0385513i	0.314425	−	0.949282i	$-0.398188\pi$
$613$	3.93445	+	0.954486i	0.158911	+	0.0385513i	−0.155514	+	0.987834i	$0.549703\pi$
$614$	−7.49148	−	18.7128i	−0.302332	−	0.755188i
$615$	13.9658	−	16.1174i	0.563155	−	0.649915i
$616$	8.09201	+	11.5415i	0.326037	+	0.465019i
$617$	−19.2440	+	16.6751i	−0.774736	+	0.671313i	−0.949665	−	0.313268i	$-0.898576\pi$
$617$	−19.2440	+	16.6751i	−0.774736	+	0.671313i	0.174928	+	0.984581i	$0.444031\pi$
$618$	3.96447	−	0.961770i	0.159474	−	0.0386881i
$619$	−13.2333	−	18.5836i	−0.531891	−	0.746936i	0.457971	−	0.888967i	$-0.348576\pi$
$619$	−13.2333	−	18.5836i	−0.531891	−	0.746936i	−0.989862	+	0.142031i	$0.954637\pi$
$620$	−15.7032	−	9.06623i	−0.630655	−	0.364109i
$621$	4.57540	−	1.43725i	0.183605	−	0.0576748i
$622$		−	18.1905i		−	0.729373i
$623$	7.69143	+	9.92913i	0.308151	+	0.397802i
$624$	6.42394	+	1.88624i	0.257163	+	0.0755099i
$625$	9.91905	−	28.6592i	0.396762	−	1.14637i
$626$	−0.710327	−	14.9116i	−0.0283904	−	0.595988i
$627$	7.14849	+	20.6542i	0.285483	+	0.824849i
$628$	1.34836	−	0.539800i	0.0538052	−	0.0215404i
$629$	3.89447	+	13.2633i	0.155283	+	0.528844i
$630$	0.0495094	−	6.76558i	0.00197250	−	0.269547i
$631$	22.1075	−	3.17858i	0.880086	−	0.126537i	0.312565	−	0.949896i	$-0.398812\pi$
$631$	22.1075	−	3.17858i	0.880086	−	0.126537i	0.567521	+	0.823359i	$0.307903\pi$
$632$	−11.5635	−	8.23434i	−0.459972	−	0.327544i
$633$	1.22249	−	12.8025i	0.0485895	−	0.508852i
$634$	1.89833	+	0.759977i	0.0753923	+	0.0301825i
$635$	0.0350936	−	0.736705i	0.00139265	−	0.0292352i
$636$	−11.2743	+	3.31044i	−0.447056	+	0.131268i
$637$	−25.9119	+	39.0511i	−1.02667	+	1.54726i
$638$	−3.36673	−	2.91729i	−0.133290	−	0.115497i
$639$	9.95353	+	5.13140i	0.393756	+	0.202995i
$640$	−2.51101	+	0.483957i	−0.0992563	+	0.0191301i
$641$	−2.49593	−	2.61765i	−0.0985832	−	0.103391i	0.672594	−	0.740012i	$-0.265180\pi$
$641$	−2.49593	−	2.61765i	−0.0985832	−	0.103391i	−0.771177	+	0.636621i	$0.780332\pi$
$642$	−10.0944	+	0.963897i	−0.398393	+	0.0380420i
$643$	−34.3149			−1.35325			−0.676624	−	0.736329i	$-0.736558\pi$
$643$	−34.3149			−1.35325			−0.676624	+	0.736329i	$0.736558\pi$
$644$	12.4310	−	2.54380i	0.489849	−	0.100240i
$645$	12.7001			0.500064
$646$	25.6141	−	2.44585i	1.00777	−	0.0962307i
$647$	−11.6345	−	12.2019i	−0.457401	−	0.479708i	0.454133	−	0.890934i	$-0.349949\pi$
$647$	−11.6345	−	12.2019i	−0.457401	−	0.479708i	−0.911533	+	0.411226i	$0.865101\pi$
$648$	0.981929	−	0.189251i	0.0385738	−	0.00743449i
$649$	−55.9237	−	28.8307i	−2.19520	−	1.13170i
$650$	7.78897	+	6.74918i	0.305508	+	0.264725i
$651$	15.2016	+	10.9935i	0.595797	+	0.430870i
$652$	20.0645	−	5.89148i	0.785788	−	0.230728i
$653$	1.26864	−	26.6321i	0.0496458	−	1.04219i	−0.827347	−	0.561691i	$-0.810151\pi$
$653$	1.26864	−	26.6321i	0.0496458	−	1.04219i	0.876993	−	0.480503i	$-0.159546\pi$
$654$	5.62172	+	2.25060i	0.219827	+	0.0880054i
$655$	1.28736	−	13.4819i	0.0503015	−	0.526781i
$656$	6.79329	+	4.83748i	0.265233	+	0.188872i
$657$	2.06239	−	0.296526i	0.0804613	−	0.0115686i
$658$	1.64605	−	2.80347i	0.0641699	−	0.109291i
$659$	1.97262	+	6.71812i	0.0768423	+	0.261701i	0.988950	−	0.148250i	$-0.0473640\pi$
$659$	1.97262	+	6.71812i	0.0768423	+	0.261701i	−0.912108	+	0.409951i	$0.865546\pi$
$660$	−12.6480	+	5.06351i	−0.492324	+	0.197097i
$661$	10.9900	+	31.7535i	0.427461	+	1.23507i	0.929047	+	0.369961i	$0.120629\pi$
$661$	10.9900	+	31.7535i	0.427461	+	1.23507i	−0.501586	+	0.865108i	$0.667250\pi$
$662$	1.15815	+	24.3126i	0.0450128	+	0.944935i
$663$	13.7343	−	39.6826i	0.533395	−	1.54114i
$664$	−5.04309	−	1.48078i	−0.195710	−	0.0574656i
$665$	10.5042	−	25.6917i	0.407335	−	0.996281i
$666$			2.20395i			0.0854015i
$667$	−3.61585	+	1.73403i	−0.140006	+	0.0671417i
$668$	17.8666	+	10.3153i	0.691281	+	0.399111i
$669$	6.65988	+	9.35249i	0.257486	+	0.361588i
$670$	29.9816	−	7.27345i	1.15829	−	0.280998i
$671$	−13.9680	+	12.1033i	−0.539227	+	0.467243i
$672$	2.63554	−	0.232215i	0.101668	−	0.00895789i
$673$	−14.2148	+	16.4048i	−0.547941	+	0.632358i	−0.960402	−	0.278617i	$-0.910124\pi$
$673$	−14.2148	+	16.4048i	−0.547941	+	0.632358i	0.412461	+	0.910975i	$0.364669\pi$
$674$	−6.82491	−	17.0478i	−0.262886	−	0.656657i
$675$	1.49598	+	0.362920i	0.0575801	+	0.0139688i
$676$	28.2870	−	14.5830i	1.08796	−	0.560884i
$677$	33.8137	−	26.5914i	1.29956	−	1.02199i	0.301924	−	0.953332i	$-0.402371\pi$
$677$	33.8137	−	26.5914i	1.29956	−	1.02199i	0.997640	−	0.0686566i	$-0.0218713\pi$
$678$	−3.53388	−	7.73811i	−0.135718	−	0.297180i
$679$	5.33935	−	8.17602i	0.204905	−	0.313767i
$680$	2.28258	+	15.8757i	0.0875331	+	0.608806i
$681$	13.5796	+	0.646876i	0.520372	+	0.0247884i
$682$	8.90619	−	36.7118i	0.341036	−	1.40577i
$683$	5.05022	+	3.97154i	0.193241	+	0.151967i	0.710092	−	0.704109i	$-0.248653\pi$
$683$	5.05022	+	3.97154i	0.193241	+	0.151967i	−0.516851	+	0.856076i	$0.672896\pi$
$684$	4.02830	+	0.776391i	0.154026	+	0.0296860i
$685$	6.72119	+	10.4584i	0.256804	+	0.399594i
$686$	−3.90334	+	18.1043i	−0.149030	+	0.691224i
$687$	−5.73640	+	19.5364i	−0.218857	+	0.745360i
$688$	0.472082	+	4.94386i	0.0179980	+	0.188483i
$689$	−39.3349	+	68.1301i	−1.49854	+	2.59555i
$690$	−0.353578	+	12.2589i	−0.0134605	+	0.466688i
$691$	−8.29793	+	4.79081i	−0.315668	+	0.182251i	−0.649460	−	0.760396i	$-0.725005\pi$
$691$	−8.29793	+	4.79081i	−0.315668	+	0.182251i	0.333792	+	0.942647i	$0.391672\pi$
$692$	15.9181	+	7.26956i	0.605116	+	0.276347i
$693$	13.5533	−	3.87212i	0.514849	−	0.147090i
$694$	−11.7361	−	13.5442i	−0.445496	−	0.514129i
$695$	−13.3911	+	25.9751i	−0.507953	+	0.985292i
$696$	−0.790183	+	0.273485i	−0.0299518	+	0.0103664i
$697$	32.3338	−	41.1158i	1.22473	−	1.55737i
$698$	−2.76295	+	2.89770i	−0.104579	+	0.109679i
$699$	3.74260	−	5.82360i	0.141558	−	0.220269i
$700$	3.83894	+	1.36021i	0.145098	+	0.0514110i
$701$	2.17373	−	0.992708i	0.0821005	−	0.0374941i	−0.373942	−	0.927452i	$-0.621994\pi$
$701$	2.17373	−	0.992708i	0.0821005	−	0.0374941i	0.456042	+	0.889958i	$0.349267\pi$
$702$	3.88356	−	5.45370i	0.146576	−	0.205837i
$703$	−3.36041	+	8.39391i	−0.126740	+	0.316582i
$704$	−2.44127	−	4.73539i	−0.0920086	−	0.178472i
$705$	2.27412	+	2.16837i	0.0856484	+	0.0816655i
$706$	29.7423	+	4.27629i	1.11937	+	0.160940i
$707$	−23.5342	−	18.7878i	−0.885095	−	0.706590i
$708$	−9.93497	+	6.38482i	−0.373379	+	0.239956i
$709$	26.4042	+	9.13858i	0.991630	+	0.343206i	0.774249	−	0.632881i	$-0.218128\pi$
$709$	26.4042	+	9.13858i	0.991630	+	0.343206i	0.217380	+	0.976087i	$0.430249\pi$
$710$	−20.7254	+	19.7616i	−0.777810	+	0.741641i
$711$	−11.5635	+	8.23434i	−0.433665	+	0.308812i
$712$	−2.37356	−	4.11112i	−0.0889528	−	0.154071i
$713$	−27.1201	−	20.5157i	−1.01566	−	0.768319i
$714$	−0.668272	−	16.5808i	−0.0250094	−	0.620521i
$715$	−37.8917	+	82.9713i	−1.41707	+	3.10295i
$716$	−5.10661	−	21.0497i	−0.190843	−	0.786665i
$717$	−5.31882	−	27.5966i	−0.198635	−	1.03062i
$718$	−5.27385	+	0.251224i	−0.196818	+	0.00937561i
$719$	1.15879	−	6.01235i	0.0432154	−	0.224223i	−0.953900	−	0.300125i	$-0.902972\pi$
$719$	1.15879	−	6.01235i	0.0432154	−	0.224223i	0.997115	+	0.0759022i	$0.0241837\pi$
$720$	−0.363930	+	2.53119i	−0.0135629	+	0.0943319i
$721$	2.12013	−	10.5830i	0.0789579	−	0.394130i
$722$	−1.82556	−	1.17322i	−0.0679402	−	0.0436625i
$723$	8.17729	+	10.3983i	0.304117	+	0.386716i
$724$	−7.71930	−	0.737104i	−0.286886	−	0.0273943i
$725$	−1.28135	−	0.122354i	−0.0475881	−	0.00454411i
$726$	−10.7459	−	13.6645i	−0.398818	−	0.507138i
$727$	2.02835	+	1.30354i	0.0752273	+	0.0483456i	0.577714	−	0.816239i	$-0.303945\pi$
$727$	2.02835	+	1.30354i	0.0752273	+	0.0483456i	−0.502486	+	0.864585i	$0.667581\pi$
$728$	11.6976	−	13.3019i	0.433543	−	0.492999i
$729$	0.142315	−	0.989821i	0.00527092	−	0.0366601i
$730$	−1.00837	+	5.23192i	−0.0373214	+	0.193642i
$731$	31.1139	−	1.48214i	1.15079	−	0.0548188i
$732$	0.656537	+	3.40644i	0.0242663	+	0.125906i
$733$	4.23502	+	17.4570i	0.156424	+	0.644789i	0.994989	+	0.0999870i	$0.0318801\pi$
$733$	4.23502	+	17.4570i	0.156424	+	0.644789i	−0.838565	+	0.544802i	$0.816605\pi$
$734$	−15.6881	+	34.3521i	−0.579058	+	1.26796i
$735$	−16.1723	−	7.67365i	−0.596525	−	0.283047i
$736$	−4.78527	+	0.318043i	−0.176388	+	0.0117232i
$737$	32.1373	+	55.6634i	1.18379	+	2.05039i
$738$	6.79329	−	4.83748i	0.250064	−	0.178070i
$739$	31.4490	−	29.9866i	1.15687	−	1.10307i	0.163688	−	0.986512i	$-0.447661\pi$
$739$	31.4490	−	29.9866i	1.15687	−	1.10307i	0.993183	−	0.116563i	$-0.0371876\pi$
$740$	−5.32602	−	1.84335i	−0.195788	−	0.0677630i
$741$	23.1062	−	14.8494i	0.848826	−	0.545507i
$742$	−4.64940	+	30.7387i	−0.170685	+	1.12845i
$743$	−5.57761	−	0.801940i	−0.204623	−	0.0294203i	0.0392412	−	0.999230i	$-0.487506\pi$
$743$	−5.57761	−	0.801940i	−0.204623	−	0.0294203i	−0.243864	+	0.969809i	$0.578415\pi$
$744$	−5.13178	−	4.89314i	−0.188140	−	0.179391i
$745$	11.6585	+	22.6144i	0.427136	+	0.828527i
$746$	−3.58526	+	8.95555i	−0.131266	+	0.327886i
$747$	−3.04878	+	4.28141i	−0.111549	+	0.156648i
$748$	−30.3955	+	13.8812i	−1.11137	+	0.507545i
$749$	−8.96010	+	25.2883i	−0.327395	+	0.924013i
$750$	4.78445	−	7.44475i	0.174703	−	0.271844i
$751$	0.664941	−	0.697370i	0.0242640	−	0.0254474i	−0.711490	−	0.702696i	$-0.751979\pi$
$751$	0.664941	−	0.697370i	0.0242640	−	0.0254474i	0.735754	+	0.677249i	$0.236828\pi$
$752$	−0.759568	+	0.965870i	−0.0276986	+	0.0352216i
$753$	−17.6615	+	6.11270i	−0.643621	+	0.222759i
$754$	−2.56528	+	4.97595i	−0.0934221	+	0.181214i
$755$	9.91933	+	11.4475i	0.361001	+	0.416618i
$756$	0.642558	−	2.56654i	0.0233696	−	0.0933441i
$757$	−41.1475	−	18.7914i	−1.49553	−	0.682986i	−0.511223	−	0.859448i	$-0.670808\pi$
$757$	−41.1475	−	18.7914i	−1.49553	−	0.682986i	−0.984307	+	0.176462i	$0.943535\pi$
$758$	−20.6736	+	11.9359i	−0.750901	+	0.433533i
$759$	−24.7128	+	6.48861i	−0.897019	+	0.235522i
$760$	−5.24541	+	9.08532i	−0.190271	+	0.329559i
$761$	−4.40301	−	46.1104i	−0.159609	−	1.67150i	−0.620625	−	0.784108i	$-0.713121\pi$
$761$	−4.40301	−	46.1104i	−0.159609	−	1.67150i	0.461016	−	0.887392i	$-0.347485\pi$
$762$	0.0812559	−	0.276732i	0.00294359	−	0.0100249i
$763$	11.6758	−	10.9708i	0.422691	−	0.397171i
$764$	2.52750	+	3.93287i	0.0914417	+	0.142286i
$765$	15.7491	+	3.03540i	0.569411	+	0.109745i
$766$	−1.12836	−	0.887355i	−0.0407694	−	0.0320614i
$767$	−18.6409	+	76.8389i	−0.673084	+	2.77449i
$768$	−0.998867	−	0.0475819i	−0.0360435	−	0.00171696i
$769$	−2.96226	−	20.6029i	−0.106822	−	0.742961i	−0.970879	−	0.239569i	$-0.922994\pi$
$769$	−2.96226	−	20.6029i	−0.106822	−	0.742961i	0.864058	−	0.503393i	$-0.167915\pi$
$770$	−1.97854	+	35.9912i	−0.0713016	+	1.29703i
$771$	0.364918	+	0.799058i	0.0131422	+	0.0287774i
$772$	−7.45706	+	5.86430i	−0.268386	+	0.211061i
$773$	−2.42516	+	1.25026i	−0.0872270	+	0.0449687i	−0.501288	−	0.865280i	$-0.667140\pi$
$773$	−2.42516	+	1.25026i	−0.0872270	+	0.0449687i	0.414061	+	0.910249i	$0.364110\pi$
$774$	4.82636	+	1.17086i	0.173480	+	0.0420858i
$775$	−4.05677	−	10.1333i	−0.145723	−	0.364000i
$776$	−2.41698	+	2.78935i	−0.0867647	+	0.100132i
$777$	5.28630	+	2.46108i	0.189645	+	0.0882908i
$778$	14.3303	−	12.4172i	0.513765	−	0.445180i
$779$	33.2485	−	8.06600i	1.19125	−	0.288994i
$780$	9.93111	+	13.9463i	0.355591	+	0.499357i
$781$	−51.6680	−	29.8305i	−1.84882	−	1.06742i
$782$	0.564420	+	30.0743i	0.0201836	+	1.07546i
$783$			0.836172i			0.0298823i
$784$	2.38604	−	6.58079i	0.0852157	−	0.235028i
$785$	3.56364	+	1.04638i	0.127192	+	0.0373469i
$786$	1.73217	−	5.00479i	0.0617846	−	0.178515i
$787$	2.47090	+	51.8705i	0.0880780	+	1.84898i	0.422259	+	0.906475i	$0.361237\pi$
$787$	2.47090	+	51.8705i	0.0880780	+	1.84898i	−0.334181	+	0.942509i	$0.608460\pi$
$788$	1.28020	+	3.69890i	0.0456053	+	0.131768i
$789$	−7.17254	+	2.87145i	−0.255349	+	0.102226i
$790$	−10.2273	−	34.8311i	−0.363873	−	1.23924i
$791$	−22.5064	−	0.164698i	−0.800236	−	0.00585600i
$792$	−5.27341	+	0.758202i	−0.187382	+	0.0269415i
$793$	18.9196	+	13.4726i	0.671854	+	0.478425i
$794$	2.92329	−	30.6141i	0.103744	−	1.08645i
$795$	−27.8957	−	11.1677i	−0.989358	−	0.396079i
$796$	−0.144951	+	3.04289i	−0.00513764	+	0.107852i
$797$	−17.7174	+	5.20229i	−0.627581	+	0.184274i	−0.580031	−	0.814594i	$-0.696960\pi$
$797$	−17.7174	+	5.20229i	−0.627581	+	0.184274i	−0.0475502	+	0.998869i	$0.515141\pi$
$798$	6.36048	−	8.79511i	0.225158	−	0.311344i
$799$	5.82443	+	5.04690i	0.206053	+	0.178546i
$800$	−1.36825	−	0.705379i	−0.0483748	−	0.0249389i
$801$	−4.66133	+	0.898397i	−0.164700	+	0.0317433i
$802$	5.20555	+	5.45942i	0.183814	+	0.192779i
$803$	−11.0504	+	1.05518i	−0.389959	+	0.0372366i
$804$	12.0644			0.425477
$805$	29.0088	+	14.5372i	1.02242	+	0.512368i
$806$	−47.4732			−1.67217
$807$	−1.66352	+	0.158847i	−0.0585587	+	0.00559167i
$808$	7.85445	+	8.23751i	0.276319	+	0.289795i
$809$	−24.6249	+	4.74607i	−0.865766	+	0.166863i	−0.602751	−	0.797929i	$-0.705929\pi$
$809$	−24.6249	+	4.74607i	−0.865766	+	0.166863i	−0.263015	+	0.964792i	$0.584717\pi$
$810$	2.27295	+	1.17179i	0.0798632	+	0.0411723i
$811$	−4.78770	−	4.14857i	−0.168119	−	0.145676i	0.566738	−	0.823898i	$-0.308205\pi$
$811$	−4.78770	−	4.14857i	−0.168119	−	0.145676i	−0.734857	+	0.678222i	$0.762751\pi$
$812$	−0.226403	+	2.20069i	−0.00794517	+	0.0772290i
$813$	−14.7109	+	4.31950i	−0.515933	+	0.151492i
$814$	0.558701	−	11.7286i	0.0195824	−	0.411086i
$815$	49.6450	+	19.8749i	1.73899	+	0.696186i
$816$	−0.596195	+	6.24364i	−0.0208710	+	0.218571i
$817$	16.5963	+	11.8182i	0.580630	+	0.413465i
$818$	−7.93047	+	1.14023i	−0.277282	+	0.0398672i
$819$	−8.74434	−	15.4049i	−0.305552	−	0.538290i
$820$	6.00832	+	20.4625i	0.209820	+	0.714581i
$821$	31.1532	−	12.4719i	1.08726	−	0.435272i	0.242351	−	0.970189i	$-0.422081\pi$
$821$	31.1532	−	12.4719i	1.08726	−	0.435272i	0.844905	+	0.534917i	$0.179657\pi$
$822$	1.59004	+	4.59412i	0.0554590	+	0.160238i
$823$	2.43611	+	51.1403i	0.0849176	+	1.78264i	0.493330	+	0.869842i	$0.335780\pi$
$823$	2.43611	+	51.1403i	0.0849176	+	1.78264i	−0.408412	+	0.912798i	$0.633917\pi$
$824$	−1.33426	+	3.85510i	−0.0464812	+	0.134299i
$825$	−7.86899	−	2.31054i	−0.273963	−	0.0804428i
$826$	4.22027	+	30.9593i	0.146842	+	1.07721i
$827$		−	28.9999i		−	1.00843i	−0.863579	−	0.504213i	$-0.831783\pi$
$827$		−	28.9999i		−	1.00843i	0.863579	−	0.504213i	$-0.168217\pi$
$828$	−1.26456	+	4.62611i	−0.0439465	+	0.160768i
$829$	1.92588	+	1.11191i	0.0668887	+	0.0386182i	0.533071	−	0.846070i	$-0.321038\pi$
$829$	1.92588	+	1.11191i	0.0668887	+	0.0386182i	−0.466183	+	0.884688i	$0.654371\pi$
$830$	−7.79639	−	10.9485i	−0.270616	−	0.380028i
$831$	−2.73761	+	0.664137i	−0.0949666	+	0.0230387i
$832$	−5.05985	+	4.38438i	−0.175419	+	0.152001i
$833$	−40.5161	−	16.9123i	−1.40380	−	0.585977i
$834$	−7.48371	+	8.63667i	−0.259140	+	0.299063i
$835$	19.6078	+	48.9779i	0.678556	+	1.69495i
$836$	−21.2402	−	5.15281i	−0.734607	−	0.178214i
$837$	−6.30246	+	3.24915i	−0.217845	+	0.112307i
$838$	29.6380	−	23.3076i	1.02383	−	0.805146i
$839$	20.1005	+	44.0140i	0.693946	+	1.51953i	0.847160	+	0.531338i	$0.178310\pi$
$839$	20.1005	+	44.0140i	0.693946	+	1.51953i	−0.153214	+	0.988193i	$0.548962\pi$
$840$	5.66480	+	3.69940i	0.195454	+	0.127641i
$841$	4.02763	+	28.0128i	0.138884	+	0.965957i
$842$	−9.37418	−	0.446547i	−0.323056	−	0.0153890i
$843$	5.57650	−	22.9867i	0.192065	−	0.791703i
$844$	10.1092	+	7.94996i	0.347973	+	0.273649i
$845$	79.9124	+	15.4018i	2.74907	+	0.529840i
$846$	0.664317	+	1.03370i	0.0228397	+	0.0355393i
$847$	−44.7747	+	10.5159i	−1.53848	+	0.361331i
$848$	3.31044	−	11.2743i	0.113681	−	0.387162i
$849$	0.689374	+	7.21945i	0.0236593	+	0.247771i
$850$	−4.82749	+	8.36146i	−0.165582	+	0.286796i
$851$	−9.48403	−	4.66622i	−0.325108	−	0.159956i
$852$	−9.69810	+	5.59920i	−0.332251	+	0.191825i
$853$	−15.2316	−	6.95604i	−0.521520	−	0.238170i	0.137220	−	0.990541i	$-0.456183\pi$
$853$	−15.2316	−	6.95604i	−0.521520	−	0.238170i	−0.658741	+	0.752370i	$0.728910\pi$
$854$	8.90365	+	2.22912i	0.304677	+	0.0762788i
$855$	6.87003	+	7.92843i	0.234950	+	0.271147i
$856$	4.64655	−	9.01306i	0.158816	−	0.308060i
$857$	−45.4853	+	15.7426i	−1.55375	+	0.537758i	−0.963094	−	0.269165i	$-0.913252\pi$
$857$	−45.4853	+	15.7426i	−1.55375	+	0.537758i	−0.590656	+	0.806924i	$0.701131\pi$
$858$	−22.0493	+	28.0379i	−0.752750	+	0.957199i
$859$	14.6632	−	15.3783i	0.500300	−	0.524700i	−0.424360	−	0.905494i	$-0.639501\pi$
$859$	14.6632	−	15.3783i	0.500300	−	0.524700i	0.924660	+	0.380794i	$0.124349\pi$
$860$	−6.86617	+	10.6840i	−0.234134	+	0.364320i
$861$	−4.01711	−	21.6959i	−0.136903	−	0.739395i
$862$	3.51137	−	1.60359i	0.119598	−	0.0546184i
$863$	7.47740	−	10.5005i	0.254534	−	0.357442i	−0.667461	−	0.744645i	$-0.732619\pi$
$863$	7.47740	−	10.5005i	0.254534	−	0.357442i	0.921995	+	0.387202i	$0.126558\pi$
$864$	−0.371662	+	0.928368i	−0.0126442	+	0.0315837i
$865$	20.5057	+	39.7754i	0.697213	+	1.35241i
$866$	−0.498904	−	0.475704i	−0.0169535	−	0.0161651i
$867$	22.1111	+	3.17909i	0.750932	+	0.107968i
$868$	−17.4669	+	6.84484i	−0.592867	+	0.232329i
$869$	63.6238	−	40.8885i	2.15829	−	1.38705i
$870$	−2.02067	−	0.699361i	−0.0685072	−	0.0237106i
$871$	58.4579	−	55.7395i	1.98077	−	1.88866i
$872$	−4.93266	+	3.51253i	−0.167041	+	0.118949i
$873$	1.84542	+	3.19636i	0.0624580	+	0.108180i
$874$	−11.8697	+	15.6907i	−0.401498	+	0.530748i
$875$	−12.5140	−	19.7891i	−0.423050	−	0.668992i
$876$	−0.865556	+	1.89530i	−0.0292444	+	0.0640364i
$877$	−12.0241	−	49.5641i	−0.406025	−	1.67366i	−0.697111	−	0.716963i	$-0.745532\pi$
$877$	−12.0241	−	49.5641i	−0.406025	−	1.67366i	0.291086	−	0.956697i	$-0.405983\pi$
$878$	−2.63308	−	13.6617i	−0.0888620	−	0.461060i
$879$	17.8079	−	0.848295i	0.600646	−	0.0286123i
$880$	2.57835	−	13.3777i	0.0869161	−	0.450963i
$881$	−4.56911	+	31.7789i	−0.153937	+	1.07066i	0.755599	+	0.655034i	$0.227346\pi$
$881$	−4.56911	+	31.7789i	−0.153937	+	1.07066i	−0.909537	+	0.415623i	$0.863563\pi$
$882$	−5.43846	−	4.40718i	−0.183122	−	0.148397i
$883$	45.6421	+	29.3324i	1.53598	+	0.987113i	0.988657	+	0.150191i	$0.0479889\pi$
$883$	45.6421	+	29.3324i	1.53598	+	0.987113i	0.547322	+	0.836922i	$0.315647\pi$
$884$	25.9578	+	33.0081i	0.873056	+	1.11018i
$885$	−30.0633	−	2.87070i	−1.01057	−	0.0964974i
$886$	−34.4224	−	3.28694i	−1.15644	−	0.110427i
$887$	−14.5615	−	18.5164i	−0.488926	−	0.621720i	0.477510	−	0.878626i	$-0.341539\pi$
$887$	−14.5615	−	18.5164i	−0.488926	−	0.621720i	−0.966436	+	0.256906i	$0.917297\pi$
$888$	−1.85408	−	1.19155i	−0.0622190	−	0.0399857i
$889$	−0.573021	−	0.503914i	−0.0192185	−	0.0169007i
$890$	1.72762	−	12.0158i	0.0579099	−	0.402772i
$891$	−1.00826	+	5.23136i	−0.0337781	+	0.175257i
$892$	−11.4684	+	0.546308i	−0.383991	+	0.0182918i
$893$	0.953997	+	4.94981i	0.0319243	+	0.165639i
$894$	2.34565	+	9.66892i	0.0784504	+	0.323377i
$895$	23.0099	−	50.3846i	0.769135	−	1.68417i
$896$	−1.22953	+	2.34270i	−0.0410757	+	0.0782642i
$897$	15.2460	+	28.2583i	0.509049	+	0.943517i
$898$	8.12051	+	14.0651i	0.270985	+	0.469360i
$899$	4.82965	−	3.43918i	0.161078	−	0.114703i
$900$	−1.11409	+	1.06229i	−0.0371364	+	0.0354095i
$901$	−69.6450	−	24.1044i	−2.32021	−	0.803033i
$902$	−37.3775	+	24.0210i	−1.24453	+	0.799813i
$903$	8.19781	−	10.2688i	0.272806	−	0.341725i
$904$	8.42027	+	1.21065i	0.280054	+	0.0402657i
$905$	−14.3515	−	13.6841i	−0.477059	−	0.454874i
$906$	2.71422	+	5.26486i	0.0901740	+	0.174913i
$907$	13.2499	−	33.0967i	0.439957	−	1.09896i	−0.528313	−	0.849050i	$-0.677175\pi$
$907$	13.2499	−	33.0967i	0.439957	−	1.09896i	0.968269	−	0.249909i	$-0.0804006\pi$
$908$	−7.88588	+	11.0742i	−0.261702	+	0.367509i
$909$	10.3534	−	4.72823i	0.343400	−	0.156826i
$910$	44.5407	−	8.24694i	1.47651	−	0.273383i
$911$	3.36060	−	5.22920i	0.111342	−	0.173251i	−0.781111	−	0.624392i	$-0.785347\pi$
$911$	3.36060	−	5.22920i	0.111342	−	0.173251i	0.892452	+	0.451141i	$0.148983\pi$
$912$	−2.83100	+	2.96907i	−0.0937439	+	0.0983157i
$913$	17.3097	−	22.0111i	0.572868	−	0.728461i
$914$	22.5540	−	7.80602i	0.746021	−	0.258200i
$915$	−4.06508	+	7.88515i	−0.134387	+	0.260675i
$916$	−13.3337	−	15.3879i	−0.440559	−	0.508432i
$917$	−10.0700	−	9.74340i	−0.332540	−	0.321755i
$918$	5.70525	+	2.60550i	0.188301	+	0.0859943i
$919$	16.7974	−	9.69800i	0.554096	−	0.319908i	−0.196676	−	0.980468i	$-0.563015\pi$
$919$	16.7974	−	9.69800i	0.554096	−	0.319908i	0.750773	+	0.660561i	$0.229681\pi$
$920$	−10.1217	−	6.92511i	−0.333702	−	0.228314i
$921$	10.0783	−	17.4562i	0.332093	−	0.575201i
$922$	1.43344	+	15.0117i	0.0472079	+	0.494384i
$923$	−21.1228	+	71.9378i	−0.695267	+	2.36786i
$924$	−4.07005	+	13.4952i	−0.133895	+	0.443960i
$925$	−1.83423	−	2.85412i	−0.0603091	−	0.0938428i
$926$	−0.721948	−	0.139144i	−0.0237247	−	0.00457256i
$927$	3.20668	+	2.52176i	0.105321	+	0.0828254i
$928$	0.197135	−	0.812601i	0.00647127	−	0.0266749i
$929$	41.1205	+	1.95881i	1.34912	+	0.0642665i	0.709652	−	0.704552i	$-0.248852\pi$
$929$	41.1205	+	1.95881i	1.34912	+	0.0642665i	0.639467	+	0.768819i	$0.279155\pi$
$930$	−2.58052	−	17.9479i	−0.0846185	−	0.588535i
$931$	−13.9930	−	25.0771i	−0.458602	−	0.821870i
$932$	2.87572	+	6.29695i	0.0941974	+	0.206264i
$933$	14.2987	−	11.2446i	0.468119	−	0.368133i
$934$	8.54933	−	4.40749i	0.279743	−	0.144217i
$935$	−83.0412	−	20.1456i	−2.71574	−	0.658830i
$936$	2.48833	+	6.21555i	0.0813336	+	0.203162i
$937$	−29.6669	+	34.2374i	−0.969176	+	1.11849i	0.0237459	+	0.999718i	$0.492441\pi$
$937$	−29.6669	+	34.2374i	−0.969176	+	1.11849i	−0.992922	+	0.118770i	$0.962105\pi$
$938$	13.4719	−	28.9370i	0.439872	−	0.944827i
$939$	11.2822	−	9.77610i	0.368181	−	0.319031i
$940$	−3.05363	+	0.740803i	−0.0995985	+	0.0241623i
$941$	−19.6663	−	27.6175i	−0.641104	−	0.900305i	0.358342	−	0.933591i	$-0.383342\pi$
$941$	−19.6663	−	27.6175i	−0.641104	−	0.900305i	−0.999446	+	0.0332856i	$0.989403\pi$
$942$	1.25781	+	0.726197i	0.0409816	+	0.0236608i
$943$	6.43381	+	39.4747i	0.209514	+	1.28547i
$944$		−	11.8097i		−	0.384374i
$945$	5.34871	−	4.14329i	0.173994	−	0.134781i
$946$	−25.3872	−	7.45434i	−0.825408	−	0.242362i
$947$	2.65255	−	7.66405i	0.0861964	−	0.249048i	−0.893662	−	0.448740i	$-0.851873\pi$
$947$	2.65255	−	7.66405i	0.0861964	−	0.249048i	0.979859	+	0.199692i	$0.0639941\pi$
$948$	−0.675460	−	14.1797i	−0.0219379	−	0.460534i
$949$	4.56258	+	13.1827i	0.148108	+	0.427929i
$950$	−5.86279	+	2.34711i	−0.190214	+	0.0761502i
$951$	0.576088	+	1.96197i	0.0186809	+	0.0636214i
$952$	14.3099	+	8.40207i	0.463788	+	0.272313i
$953$	24.2564	−	3.48754i	0.785742	−	0.112973i	0.262246	−	0.965001i	$-0.415537\pi$
$953$	24.2564	−	3.48754i	0.785742	−	0.112973i	0.523496	+	0.852028i	$0.324628\pi$
$954$	−9.57151	−	6.81584i	−0.309889	−	0.220671i
$955$	−1.13640	+	11.9009i	−0.0367729	+	0.385104i
$956$	26.0913	+	10.4454i	0.843854	+	0.337828i
$957$	0.211969	−	4.44978i	0.00685198	−	0.143841i
$958$	−28.3883	+	8.33556i	−0.917185	+	0.269310i
$959$	12.7948	+	1.31630i	0.413165	+	0.0425056i
$960$	−1.93262	−	1.67462i	−0.0623749	−	0.0540482i
$961$	17.1350	+	8.83368i	0.552740	+	0.284957i
$962$	−14.4891	+	2.79255i	−0.467148	+	0.0900354i
$963$	−6.99761	−	7.33888i	−0.225495	−	0.236492i
$964$	−13.1686	+	1.25745i	−0.424131	+	0.0404996i
$965$	−24.2596			−0.780945
$966$	9.68388	+	8.19893i	0.311574	+	0.263796i
$967$	52.8302			1.69890			0.849452	−	0.527666i	$-0.176933\pi$
$967$	52.8302			1.69890			0.849452	+	0.527666i	$0.176933\pi$
$968$	17.3050	−	1.65243i	0.556204	−	0.0531111i
$969$	17.7562	+	18.6221i	0.570410	+	0.598229i
$970$	−9.26772	+	1.78621i	−0.297568	+	0.0573516i
$971$	34.0458	+	17.5518i	1.09258	+	0.563265i	0.907752	−	0.419506i	$-0.137797\pi$
$971$	34.0458	+	17.5518i	1.09258	+	0.563265i	0.184828	+	0.982771i	$0.440827\pi$
$972$	0.755750	+	0.654861i	0.0242407	+	0.0210047i
$973$	12.3587	+	27.5944i	0.396201	+	0.884634i
$974$	17.9898	−	5.28228i	0.576430	−	0.169255i
$975$	−0.490393	+	10.2946i	−0.0157051	+	0.329691i
$976$	−3.22063	−	1.28935i	−0.103090	−	0.0412709i
$977$	−2.95301	+	30.9253i	−0.0944752	+	0.989389i	0.816615	+	0.577183i	$0.195848\pi$
$977$	−2.95301	+	30.9253i	−0.0944752	+	0.989389i	−0.911090	+	0.412207i	$0.864758\pi$
$978$	17.0341	+	12.1299i	0.544690	+	0.387872i
$979$	25.0335	−	3.59927i	0.800073	−	0.115033i
$980$	15.1989	−	9.45634i	0.485511	−	0.302072i
$981$	1.70603	+	5.81020i	0.0544693	+	0.185505i
$982$	−2.60659	+	1.04352i	−0.0831795	+	0.0333001i
$983$	0.153299	+	0.442929i	0.00488948	+	0.0141272i	0.947419	−	0.319995i	$-0.103681\pi$
$983$	0.153299	+	0.442929i	0.00488948	+	0.0141272i	−0.942530	+	0.334122i	$0.891560\pi$
$984$	0.396817	+	8.33021i	0.0126501	+	0.265558i
$985$	−3.27376	+	9.45890i	−0.104311	+	0.301386i
$986$	−5.03206	−	1.47755i	−0.160253	−	0.0470547i
$987$	3.22120	−	0.439104i	0.102532	−	0.0139768i
$988$			27.4663i			0.873821i
$989$	−15.2568	+	18.2898i	−0.485139	+	0.581581i
$990$	−11.7987	−	6.81197i	−0.374987	−	0.216499i
$991$	−9.06240	−	12.7264i	−0.287877	−	0.404266i	0.645160	−	0.764048i	$-0.276791\pi$
$991$	−9.06240	−	12.7264i	−0.287877	−	0.404266i	−0.933037	+	0.359781i	$0.882851\pi$
$992$	6.89082	−	1.67170i	0.218784	−	0.0530764i
$993$	−18.3951	+	15.9394i	−0.583750	+	0.505822i
$994$	2.60044	+	29.5138i	0.0824808	+	0.936122i
$995$	−5.10146	+	5.88740i	−0.161727	+	0.186643i
$996$	−1.95346	−	4.87950i	−0.0618976	−	0.154613i
$997$	−33.9970	−	8.24758i	−1.07670	−	0.261203i	−0.342069	−	0.939675i	$-0.611128\pi$
$997$	−33.9970	−	8.24758i	−1.07670	−	0.261203i	−0.734627	+	0.678472i	$0.762643\pi$
$998$	7.14627	−	3.68416i	0.226211	−	0.116620i
$999$	−1.73242	+	1.36239i	−0.0548115	+	0.0431042i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.19.7	✓	320	161.19	even	66	inner
966.2.be.b.157.7	yes	320	23.19	odd	22	inner
966.2.be.b.523.7	yes	320	7.5	odd	6	inner
966.2.be.b.661.7	yes	320	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.995472 + 0.0950560i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(2.27295 + 1.17179i) q^{5} +(0.755750 + 0.654861i) q^{6} +(2.41464 - 1.08144i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\)	\(q+(-0.995472 + 0.0950560i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(2.27295 + 1.17179i) q^{5} +(0.755750 + 0.654861i) q^{6} +(2.41464 - 1.08144i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-2.37404 - 0.950422i) q^{10} +(0.506424 - 5.30351i) q^{11} +(-0.814576 - 0.580057i) q^{12} +(-6.62699 + 0.952817i) q^{13} +(-2.30091 + 1.30607i) q^{14} +(-0.720452 - 2.45363i) q^{15} +(0.928368 - 0.371662i) q^{16} +(-2.05138 - 5.92708i) q^{17} +(-0.0475819 - 0.998867i) q^{18} +(1.34177 - 3.87680i) q^{19} +(2.45363 + 0.720452i) q^{20} +(-2.44897 - 1.00127i) q^{21} +5.32764i q^{22} +(4.39906 + 1.91005i) q^{23} +(0.866025 + 0.500000i) q^{24} +(0.892921 + 1.25393i) q^{25} +(6.50641 - 1.57844i) q^{26} +(0.755750 - 0.654861i) q^{27} +(2.16634 - 1.51887i) q^{28} +(-0.547576 + 0.631936i) q^{29} +(0.950422 + 2.37404i) q^{30} +(-6.89082 - 1.67170i) q^{31} +(-0.888835 + 0.458227i) q^{32} +(-4.18781 + 3.29333i) q^{33} +(2.60550 + 5.70525i) q^{34} +(6.75557 + 0.371373i) q^{35} +(0.142315 + 0.989821i) q^{36} +(-2.20146 - 0.104868i) q^{37} +(-0.967185 + 3.98679i) q^{38} +(5.26273 + 4.13866i) q^{39} +(-2.51101 - 0.483957i) q^{40} +(4.50876 + 7.01577i) q^{41} +(2.53306 + 0.763951i) q^{42} +(-1.39918 + 4.76518i) q^{43} +(-0.506424 - 5.30351i) q^{44} +(-1.27861 + 2.21462i) q^{45} +(-4.56070 - 1.48325i) q^{46} +(-1.06414 + 0.614379i) q^{47} +(-0.909632 - 0.415415i) q^{48} +(4.66096 - 5.22259i) q^{49} +(-1.00807 - 1.16338i) q^{50} +(-2.87401 + 5.57481i) q^{51} +(-6.32691 + 2.18976i) q^{52} +(7.26356 - 9.23636i) q^{53} +(-0.690079 + 0.723734i) q^{54} +(7.36566 - 11.4612i) q^{55} +(-2.01215 + 1.71792i) q^{56} +(-3.73170 + 1.70421i) q^{57} +(0.485027 - 0.681125i) q^{58} +(4.38923 - 10.9638i) q^{59} +(-1.17179 - 2.27295i) q^{60} +(-2.51073 - 2.39397i) q^{61} +(7.01852 + 1.00911i) q^{62} +(0.965326 + 2.46336i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-16.1793 - 5.59971i) q^{65} +(3.85579 - 3.67649i) q^{66} +(-9.82734 + 6.99802i) q^{67} +(-3.13602 - 5.43174i) q^{68} +(-1.65333 - 4.50183i) q^{69} +(-6.76028 + 0.272466i) q^{70} +(4.65198 - 10.1864i) q^{71} +(-0.235759 - 0.971812i) q^{72} +(-0.394323 - 2.04594i) q^{73} +(2.20146 - 0.104868i) q^{74} +(0.291327 - 1.51155i) q^{75} +(0.583837 - 4.06068i) q^{76} +(-4.51262 - 13.3537i) q^{77} +(-5.63231 - 3.61966i) q^{78} +(8.77522 + 11.1586i) q^{79} +(2.54564 + 0.243079i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-5.15524 - 6.55542i) q^{82} +(4.42162 + 2.84160i) q^{83} +(-2.59421 - 0.519709i) q^{84} +(2.28258 - 15.8757i) q^{85} +(0.939888 - 4.87660i) q^{86} +(0.835225 - 0.0397867i) q^{87} +(1.00826 + 5.23136i) q^{88} +(1.11917 + 4.61330i) q^{89} +(1.06231 - 2.32613i) q^{90} +(-14.9714 + 9.46743i) q^{91} +(4.68104 + 1.04301i) q^{92} +(3.54535 + 6.14072i) q^{93} +(1.00092 - 0.712750i) q^{94} +(7.59256 - 7.23949i) q^{95} +(0.945001 + 0.327068i) q^{96} +(3.10493 - 1.99542i) q^{97} +(-4.14341 + 5.64200i) q^{98} +(5.27341 + 0.758202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Introduction

L-functions

Modular forms

Varieties

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