LMFDB - Embedded newform 966.2.be.b.661.14

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			661.14
Character	$\chi$	$=$	966.661
Dual form			966.2.be.b.19.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.995472 + 0.0950560i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(0.951099 + 0.490326i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(1.44395 - 2.21698i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})$	\(q+(-0.995472 + 0.0950560i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(0.951099 + 0.490326i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(1.44395 - 2.21698i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-0.993401 - 0.397698i) q^{10} +(0.407321 - 4.26566i) q^{11} +(0.814576 + 0.580057i) q^{12} +(3.34841 - 0.481429i) q^{13} +(-1.22667 + 2.34420i) q^{14} +(0.301468 + 1.02671i) q^{15} +(0.928368 - 0.371662i) q^{16} +(-2.20493 - 6.37073i) q^{17} +(-0.0475819 - 0.998867i) q^{18} +(-0.559082 + 1.61536i) q^{19} +(1.02671 + 0.301468i) q^{20} +(2.60094 - 0.484858i) q^{21} +4.28506i q^{22} +(-4.78437 - 0.331302i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(-2.23611 - 3.14018i) q^{25} +(-3.28749 + 0.797536i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(0.998288 - 2.45019i) q^{28} +(3.61860 - 4.17608i) q^{29} +(-0.397698 - 0.993401i) q^{30} +(1.49705 + 0.363181i) q^{31} +(-0.888835 + 0.458227i) q^{32} +(3.36828 - 2.64885i) q^{33} +(2.80052 + 6.13229i) q^{34} +(2.46038 - 1.40056i) q^{35} +(0.142315 + 0.989821i) q^{36} +(0.511697 + 0.0243751i) q^{37} +(0.403001 - 1.66119i) q^{38} +(2.65910 + 2.09114i) q^{39} +(-1.05071 - 0.202508i) q^{40} +(-2.02446 - 3.15013i) q^{41} +(-2.54308 + 0.729898i) q^{42} +(-0.944853 + 3.21787i) q^{43} +(-0.407321 - 4.26566i) q^{44} +(-0.535025 + 0.926691i) q^{45} +(4.79420 - 0.124982i) q^{46} +(3.26989 - 1.88787i) q^{47} +(0.909632 + 0.415415i) q^{48} +(-2.83002 - 6.40242i) q^{49} +(2.52448 + 2.91341i) q^{50} +(3.08914 - 5.99209i) q^{51} +(3.19679 - 1.10642i) q^{52} +(-8.93614 + 11.3632i) q^{53} +(0.690079 - 0.723734i) q^{54} +(2.47896 - 3.85734i) q^{55} +(-0.760863 + 2.53399i) q^{56} +(-1.55490 + 0.710100i) q^{57} +(-3.20525 + 4.50114i) q^{58} +(-3.78879 + 9.46394i) q^{59} +(0.490326 + 0.951099i) q^{60} +(5.71525 + 5.44948i) q^{61} +(-1.52480 - 0.219233i) q^{62} +(2.14577 + 1.54780i) q^{63} +(0.841254 - 0.540641i) q^{64} +(3.42073 + 1.18393i) q^{65} +(-3.10124 + 2.95703i) q^{66} +(8.24477 - 5.87107i) q^{67} +(-3.37075 - 5.83832i) q^{68} +(-3.06182 - 3.69124i) q^{69} +(-2.31611 + 1.62810i) q^{70} +(2.06408 - 4.51970i) q^{71} +(-0.235759 - 0.971812i) q^{72} +(0.797109 + 4.13579i) q^{73} +(-0.511697 + 0.0243751i) q^{74} +(0.729562 - 3.78533i) q^{75} +(-0.243270 + 1.69198i) q^{76} +(-8.86874 - 7.06241i) q^{77} +(-2.84583 - 1.82891i) q^{78} +(8.65741 + 11.0088i) q^{79} +(1.06521 + 0.101715i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(2.31474 + 2.94343i) q^{82} +(10.2903 + 6.61316i) q^{83} +(2.46218 - 0.968328i) q^{84} +(1.02662 - 7.14033i) q^{85} +(0.634696 - 3.29312i) q^{86} +(5.51949 - 0.262926i) q^{87} +(0.810953 + 4.20762i) q^{88} +(-4.32379 - 17.8229i) q^{89} +(0.444515 - 0.973352i) q^{90} +(3.76762 - 8.11854i) q^{91} +(-4.76061 + 0.580134i) q^{92} +(0.770238 + 1.33409i) q^{93} +(-3.07563 + 2.19014i) q^{94} +(-1.32380 + 1.26224i) q^{95} +(-0.945001 - 0.327068i) q^{96} +(16.0284 - 10.3008i) q^{97} +(3.42580 + 6.10442i) q^{98} +(4.24144 + 0.609828i) 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
$5$	0.951099	+	0.490326i	0.425344	+	0.219280i	0.657589	−	0.753377i	$-0.271577\pi$
$5$	0.951099	+	0.490326i	0.425344	+	0.219280i	−0.232244	+	0.972658i	$0.574607\pi$
$6$	−0.755750	−	0.654861i	−0.308533	−	0.267346i
$7$	1.44395	−	2.21698i	0.545761	−	0.837941i
$7$	1.44395	−	2.21698i	0.545761	−	0.837941i
$8$	−0.959493	+	0.281733i	−0.339232	+	0.0996075i
$9$	−0.0475819	+	0.998867i	−0.0158606	+	0.332956i
$10$	−0.993401	−	0.397698i	−0.314141	−	0.125763i
$11$	0.407321	−	4.26566i	0.122812	−	1.28614i	−0.698478	−	0.715632i	$-0.746139\pi$
$11$	0.407321	−	4.26566i	0.122812	−	1.28614i	0.821289	−	0.570512i	$-0.193255\pi$
$12$	0.814576	+	0.580057i	0.235148	+	0.167448i
$13$	3.34841	−	0.481429i	0.928683	−	0.133524i	0.338658	−	0.940909i	$-0.390027\pi$
$13$	3.34841	−	0.481429i	0.928683	−	0.133524i	0.590025	+	0.807385i	$0.299118\pi$
$14$	−1.22667	+	2.34420i	−0.327842	+	0.626514i
$15$	0.301468	+	1.02671i	0.0778387	+	0.265094i
$16$	0.928368	−	0.371662i	0.232092	−	0.0929156i
$17$	−2.20493	−	6.37073i	−0.534774	−	1.54513i	−0.811603	−	0.584210i	$-0.801405\pi$
$17$	−2.20493	−	6.37073i	−0.534774	−	1.54513i	0.276828	−	0.960919i	$-0.410717\pi$
$18$	−0.0475819	−	0.998867i	−0.0112152	−	0.235435i
$19$	−0.559082	+	1.61536i	−0.128262	+	0.370589i	−0.990788	−	0.135424i	$-0.956760\pi$
$19$	−0.559082	+	1.61536i	−0.128262	+	0.370589i	0.862525	+	0.506014i	$0.168881\pi$
$20$	1.02671	+	0.301468i	0.229578	+	0.0674103i
$21$	2.60094	−	0.484858i	0.567573	−	0.105805i
$22$			4.28506i			0.913578i
$23$	−4.78437	−	0.331302i	−0.997611	−	0.0690812i
$23$	−4.78437	−	0.331302i	−0.997611	−	0.0690812i
$24$	−0.866025	−	0.500000i	−0.176777	−	0.102062i
$25$	−2.23611	−	3.14018i	−0.447223	−	0.628037i
$26$	−3.28749	+	0.797536i	−0.644730	+	0.156410i
$27$	−0.755750	+	0.654861i	−0.145444	+	0.126028i
$28$	0.998288	−	2.45019i	0.188659	−	0.463042i
$29$	3.61860	−	4.17608i	0.671957	−	0.775479i	−0.312725	−	0.949844i	$-0.601242\pi$
$29$	3.61860	−	4.17608i	0.671957	−	0.775479i	0.984681	+	0.174365i	$0.0557871\pi$
$30$	−0.397698	−	0.993401i	−0.0726093	−	0.181369i
$31$	1.49705	+	0.363181i	0.268878	+	0.0652292i	0.367931	−	0.929853i	$-0.380066\pi$
$31$	1.49705	+	0.363181i	0.268878	+	0.0652292i	−0.0990529	+	0.995082i	$0.531581\pi$
$32$	−0.888835	+	0.458227i	−0.157125	+	0.0810038i
$33$	3.36828	−	2.64885i	0.586343	−	0.461105i
$34$	2.80052	+	6.13229i	0.480286	+	1.05168i
$35$	2.46038	−	1.40056i	0.415880	−	0.236739i
$36$	0.142315	+	0.989821i	0.0237191	+	0.164970i
$37$	0.511697	+	0.0243751i	0.0841224	+	0.00400725i	0.0896009	−	0.995978i	$-0.471441\pi$
$37$	0.511697	+	0.0243751i	0.0841224	+	0.00400725i	−0.00547850	+	0.999985i	$0.501744\pi$
$38$	0.403001	−	1.66119i	0.0653753	−	0.269481i
$39$	2.65910	+	2.09114i	0.425796	+	0.334850i
$40$	−1.05071	−	0.202508i	−0.166132	−	0.0320194i
$41$	−2.02446	−	3.15013i	−0.316168	−	0.491967i	0.646403	−	0.762996i	$-0.276273\pi$
$41$	−2.02446	−	3.15013i	−0.316168	−	0.491967i	−0.962571	+	0.271029i	$0.912636\pi$
$42$	−2.54308	+	0.729898i	−0.392406	+	0.112626i
$43$	−0.944853	+	3.21787i	−0.144089	+	0.490721i	−0.999635	−	0.0270046i	$-0.991403\pi$
$43$	−0.944853	+	3.21787i	−0.144089	+	0.490721i	0.855547	+	0.517726i	$0.173221\pi$
$44$	−0.407321	−	4.26566i	−0.0614059	−	0.643072i
$45$	−0.535025	+	0.926691i	−0.0797569	+	0.138143i
$46$	4.79420	−	0.124982i	0.706867	−	0.0184276i
$47$	3.26989	−	1.88787i	0.476962	−	0.275374i	−0.242188	−	0.970229i	$-0.577865\pi$
$47$	3.26989	−	1.88787i	0.476962	−	0.275374i	0.719149	+	0.694855i	$0.244532\pi$
$48$	0.909632	+	0.415415i	0.131294	+	0.0599600i
$49$	−2.83002	−	6.40242i	−0.404289	−	0.914631i
$50$	2.52448	+	2.91341i	0.357016	+	0.412018i
$51$	3.08914	−	5.99209i	0.432566	−	0.839061i
$52$	3.19679	−	1.10642i	0.443315	−	0.153433i
$53$	−8.93614	+	11.3632i	−1.22747	+	1.56086i	−0.519881	+	0.854239i	$0.674024\pi$
$53$	−8.93614	+	11.3632i	−1.22747	+	1.56086i	−0.707592	+	0.706621i	$0.750219\pi$
$54$	0.690079	−	0.723734i	0.0939079	−	0.0984877i
$55$	2.47896	−	3.85734i	0.334263	−	0.520124i
$56$	−0.760863	+	2.53399i	−0.101675	+	0.338618i
$57$	−1.55490	+	0.710100i	−0.205952	+	0.0940551i
$58$	−3.20525	+	4.50114i	−0.420870	+	0.591029i
$59$	−3.78879	+	9.46394i	−0.493258	+	1.23210i	0.447885	+	0.894091i	$0.352177\pi$
$59$	−3.78879	+	9.46394i	−0.493258	+	1.23210i	−0.941143	+	0.338008i	$0.890247\pi$
$60$	0.490326	+	0.951099i	0.0633008	+	0.122786i
$61$	5.71525	+	5.44948i	0.731763	+	0.697735i	0.961281	−	0.275569i	$-0.0888664\pi$
$61$	5.71525	+	5.44948i	0.731763	+	0.697735i	−0.229518	+	0.973304i	$0.573715\pi$
$62$	−1.52480	−	0.219233i	−0.193649	−	0.0278426i
$63$	2.14577	+	1.54780i	0.270341	+	0.195005i
$64$	0.841254	−	0.540641i	0.105157	−	0.0675801i
$65$	3.42073	+	1.18393i	0.424290	+	0.146848i
$66$	−3.10124	+	2.95703i	−0.381737	+	0.363985i
$67$	8.24477	−	5.87107i	1.00726	−	0.717266i	0.0477255	−	0.998860i	$-0.484803\pi$
$67$	8.24477	−	5.87107i	1.00726	−	0.717266i	0.959533	+	0.281595i	$0.0908633\pi$
$68$	−3.37075	−	5.83832i	−0.408764	−	0.708000i
$69$	−3.06182	−	3.69124i	−0.368600	−	0.444373i
$70$	−2.31611	+	1.62810i	−0.276828	+	0.194595i
$71$	2.06408	−	4.51970i	0.244961	−	0.536390i	−0.746716	−	0.665143i	$-0.768370\pi$
$71$	2.06408	−	4.51970i	0.244961	−	0.536390i	0.991677	+	0.128754i	$0.0410977\pi$
$72$	−0.235759	−	0.971812i	−0.0277845	−	0.114529i
$73$	0.797109	+	4.13579i	0.0932945	+	0.484058i	0.998281	+	0.0586167i	$0.0186690\pi$
$73$	0.797109	+	4.13579i	0.0932945	+	0.484058i	−0.904986	+	0.425441i	$0.860119\pi$
$74$	−0.511697	+	0.0243751i	−0.0594835	+	0.00283355i
$75$	0.729562	−	3.78533i	0.0842426	−	0.437092i
$76$	−0.243270	+	1.69198i	−0.0279049	+	0.194083i
$77$	−8.86874	−	7.06241i	−1.01069	−	0.804837i
$78$	−2.84583	−	1.82891i	−0.322227	−	0.207083i
$79$	8.65741	+	11.0088i	0.974034	+	1.23859i	0.971120	+	0.238590i	$0.0766851\pi$
$79$	8.65741	+	11.0088i	0.974034	+	1.23859i	0.00291376	+	0.999996i	$0.499073\pi$
$80$	1.06521	+	0.101715i	0.119094	+	0.0113721i
$81$	−0.995472	−	0.0950560i	−0.110608	−	0.0105618i
$82$	2.31474	+	2.94343i	0.255620	+	0.325047i
$83$	10.2903	+	6.61316i	1.12950	+	0.725888i	0.965457	−	0.260564i	$-0.0839086\pi$
$83$	10.2903	+	6.61316i	1.12950	+	0.725888i	0.164048	+	0.986452i	$0.447545\pi$
$84$	2.46218	−	0.968328i	0.268646	−	0.105653i
$85$	1.02662	−	7.14033i	0.111353	−	0.774478i
$86$	0.634696	−	3.29312i	0.0684411	−	0.355106i
$87$	5.51949	−	0.262926i	0.591752	−	0.0281886i
$88$	0.810953	+	4.20762i	0.0864479	+	0.448534i
$89$	−4.32379	−	17.8229i	−0.458321	−	1.88922i	−0.457472	−	0.889224i	$-0.651245\pi$
$89$	−4.32379	−	17.8229i	−0.458321	−	1.88922i	−0.000849161	−	1.00000i	$-0.500270\pi$
$90$	0.444515	−	0.973352i	0.0468560	−	0.102600i
$91$	3.76762	−	8.11854i	0.394954	−	0.851054i
$92$	−4.76061	+	0.580134i	−0.496328	+	0.0604832i
$93$	0.770238	+	1.33409i	0.0798699	+	0.138339i
$94$	−3.07563	+	2.19014i	−0.317227	+	0.225896i
$95$	−1.32380	+	1.26224i	−0.135819	+	0.129503i
$96$	−0.945001	−	0.327068i	−0.0964487	−	0.0333812i
$97$	16.0284	−	10.3008i	1.62744	−	1.04589i	0.676532	−	0.736413i	$-0.263482\pi$
$97$	16.0284	−	10.3008i	1.62744	−	1.04589i	0.950906	−	0.309479i	$-0.100155\pi$
$98$	3.42580	+	6.10442i	0.346058	+	0.616639i
$99$	4.24144	+	0.609828i	0.426281	+	0.0612900i
$100$	−2.78999	−	2.66025i	−0.278999	−	0.266025i
$101$	6.93544	+	13.4529i	0.690102	+	1.33861i	0.929909	+	0.367790i	$0.119885\pi$
$101$	6.93544	+	13.4529i	0.690102	+	1.33861i	−0.239807	+	0.970821i	$0.577084\pi$
$102$	−2.50557	+	6.25860i	−0.248088	+	0.619694i
$103$	−0.0859539	+	0.120705i	−0.00846929	+	0.0118935i	−0.818789	−	0.574095i	$-0.805354\pi$
$103$	−0.0859539	+	0.120705i	−0.00846929	+	0.0118935i	0.810320	+	0.585988i	$0.199294\pi$
$104$	−3.07715	+	1.40529i	−0.301739	+	0.137800i
$105$	2.71149	+	0.814162i	0.264615	+	0.0794540i
$106$	7.81553	−	12.1612i	0.759112	−	1.18120i
$107$	−11.2522	+	11.8010i	−1.08779	+	1.14084i	−0.0984653	+	0.995140i	$0.531393\pi$
$107$	−11.2522	+	11.8010i	−1.08779	+	1.14084i	−0.989328	+	0.145704i	$0.953455\pi$
$108$	−0.618159	+	0.786053i	−0.0594824	+	0.0756380i
$109$	2.10918	−	0.729993i	0.202022	−	0.0699206i	−0.224183	−	0.974547i	$-0.571971\pi$
$109$	2.10918	−	0.729993i	0.202022	−	0.0699206i	0.426205	+	0.904626i	$0.359850\pi$
$110$	−2.10107	+	4.07552i	−0.200330	+	0.388585i
$111$	0.335470	+	0.387153i	0.0318414	+	0.0367469i
$112$	0.516547	−	2.59484i	0.0488091	−	0.245189i
$113$	15.4866	+	7.07250i	1.45686	+	0.665325i	0.977237	−	0.212151i	$-0.0680468\pi$
$113$	15.4866	+	7.07250i	1.45686	+	0.665325i	0.479621	+	0.877476i	$0.340774\pi$
$114$	1.48036	−	0.854688i	0.138649	−	0.0800488i
$115$	−4.38797	−	2.66100i	−0.409180	−	0.248140i
$116$	2.76288	−	4.78544i	0.256527	−	0.444317i
$117$	0.321560	+	3.36753i	0.0297282	+	0.311328i
$118$	2.87203	−	9.78123i	0.264392	−	0.900435i
$119$	−17.3076	−	4.31071i	−1.58659	−	0.395163i
$120$	−0.578513	−	0.900184i	−0.0528108	−	0.0821752i
$121$	−7.22870	−	1.39322i	−0.657154	−	0.126656i
$122$	−6.20738	−	4.88154i	−0.561990	−	0.441954i
$123$	0.882815	−	3.63901i	0.0796007	−	0.328119i
$124$	1.53873	+	0.0732988i	0.138182	+	0.00658243i
$125$	−1.34847	−	9.37885i	−0.120611	−	0.838869i
$126$	−2.28318	−	1.33683i	−0.203402	−	0.119094i
$127$	−5.25307	−	11.5026i	−0.466135	−	1.02069i	−0.986046	−	0.166473i	$-0.946762\pi$
$127$	−5.25307	−	11.5026i	−0.466135	−	1.02069i	0.519911	−	0.854220i	$-0.325965\pi$
$128$	−0.786053	+	0.618159i	−0.0694779	+	0.0546381i
$129$	−2.98091	+	1.53677i	−0.262454	+	0.135305i
$130$	−3.51778	−	0.853405i	−0.308530	−	0.0748485i
$131$	−5.07464	−	12.6758i	−0.443373	−	1.10749i	−0.966825	−	0.255438i	$-0.917780\pi$
$131$	−5.07464	−	12.6758i	−0.443373	−	1.10749i	0.523452	−	0.852055i	$-0.324644\pi$
$132$	2.80612	−	3.23843i	0.244241	−	0.281869i
$133$	2.77394	+	3.57197i	0.240531	+	0.309729i
$134$	−7.64936	+	6.62820i	−0.660804	+	0.572590i
$135$	−1.03989	+	0.252274i	−0.0894993	+	0.0217123i
$136$	3.91046	+	5.49147i	0.335319	+	0.470890i
$137$	3.95473	+	2.28326i	0.337875	+	0.195072i	0.659332	−	0.751852i	$-0.270839\pi$
$137$	3.95473	+	2.28326i	0.337875	+	0.195072i	−0.321457	+	0.946924i	$0.604173\pi$
$138$	3.39883	+	3.38348i	0.289328	+	0.288021i
$139$			21.5607i			1.82876i	0.404862	+	0.914378i	$0.367320\pi$
$139$			21.5607i			1.82876i	−0.404862	+	0.914378i	$0.632680\pi$
$140$	2.15086	−	1.84089i	0.181781	−	0.155583i
$141$	3.62279	+	1.06375i	0.305094	+	0.0895838i
$142$	−1.62511	+	4.69544i	−0.136376	+	0.394032i
$143$	−0.689733	−	14.4793i	−0.0576784	−	1.21082i
$144$	0.327068	+	0.945001i	0.0272557	+	0.0787501i
$145$	5.48928	−	2.19758i	0.455860	−	0.182499i
$146$	−1.18663	−	4.04130i	−0.0982063	−	0.334460i
$147$	2.68071	−	6.46636i	0.221101	−	0.533336i
$148$	0.507063	−	0.0729046i	0.0416803	−	0.00599272i
$149$	10.4195	+	7.41972i	0.853602	+	0.607847i	0.920862	−	0.389888i	$-0.127486\pi$
$149$	10.4195	+	7.41972i	0.853602	+	0.607847i	−0.0672602	+	0.997735i	$0.521426\pi$
$150$	−0.366440	+	3.83754i	−0.0299197	+	0.313333i
$151$	3.36190	+	1.34590i	0.273587	+	0.109528i	0.504399	−	0.863471i	$-0.331714\pi$
$151$	3.36190	+	1.34590i	0.273587	+	0.109528i	−0.230812	+	0.972998i	$0.574138\pi$
$152$	0.0813354	−	1.70744i	0.00659717	−	0.138492i
$153$	6.46843	−	1.89930i	0.522942	−	0.153549i
$154$	9.49990	+	6.18741i	0.765524	+	0.498595i
$155$	1.24577	+	1.07946i	0.100062	+	0.0867046i
$156$	3.00679	+	1.55011i	0.240736	+	0.124108i
$157$	3.56226	−	0.686569i	0.284299	−	0.0547941i	−0.0451082	−	0.998982i	$-0.514363\pi$
$157$	3.56226	−	0.686569i	0.284299	−	0.0547941i	0.329407	+	0.944188i	$0.393151\pi$
$158$	−9.66466	−	10.1360i	−0.768879	−	0.806377i
$159$	−14.3906	+	1.37414i	−1.14125	+	0.108976i
$160$	−1.07005			−0.0845949
$161$	−7.64288	+	10.1285i	−0.602344	+	0.798237i
$162$	1.00000			0.0785674
$163$	−11.9131	+	1.13757i	−0.933109	+	0.0891011i	−0.550524	−	0.834819i	$-0.685572\pi$
$163$	−11.9131	+	1.13757i	−0.933109	+	0.0891011i	−0.382585	+	0.923920i	$0.624966\pi$
$164$	−2.58405	−	2.71007i	−0.201780	−	0.211621i
$165$	4.50237	−	0.867761i	0.350509	−	0.0675551i
$166$	−10.8723	−	5.60506i	−0.843854	−	0.435037i
$167$	11.2343	+	9.73456i	0.869335	+	0.753283i	0.970376	−	0.241599i	$-0.0776719\pi$
$167$	11.2343	+	9.73456i	0.869335	+	0.753283i	−0.101041	+	0.994882i	$0.532217\pi$
$168$	−2.35899	+	1.19799i	−0.182000	+	0.0924268i
$169$	−1.49330	+	0.438473i	−0.114869	+	0.0337287i
$170$	−0.343244	+	7.20559i	−0.0263256	+	0.552643i
$171$	−1.58693	−	0.635311i	−0.121356	−	0.0485834i
$172$	−0.318792	+	3.33854i	−0.0243076	+	0.254561i
$173$	−16.6935	−	11.8874i	−1.26918	−	0.903782i	−0.270915	−	0.962603i	$-0.587326\pi$
$173$	−16.6935	−	11.8874i	−1.26918	−	0.903782i	−0.998269	+	0.0588217i	$0.981266\pi$
$174$	−5.46951	+	0.786396i	−0.414642	+	0.0596165i
$175$	−10.1906	+	0.423163i	−0.770334	+	0.0319881i
$176$	−1.20724	−	4.11148i	−0.0909992	−	0.309915i
$177$	−9.46394	+	3.78879i	−0.711353	+	0.284783i
$178$	5.99839	+	17.3312i	0.449598	+	1.29903i
$179$	0.255757	+	5.36900i	0.0191162	+	0.401298i	0.988065	+	0.154037i	$0.0492275\pi$
$179$	0.255757	+	5.36900i	0.0191162	+	0.401298i	−0.968949	+	0.247261i	$0.920470\pi$
$180$	−0.349979	+	1.01120i	−0.0260859	+	0.0753703i
$181$	8.29285	+	2.43500i	0.616403	+	0.180992i	0.575004	−	0.818151i	$-0.305000\pi$
$181$	8.29285	+	2.43500i	0.616403	+	0.180992i	0.0413985	+	0.999143i	$0.486819\pi$
$182$	−2.97884	+	8.43991i	−0.220807	+	0.625608i
$183$			7.89690i			0.583756i
$184$	4.68391	−	1.03003i	0.345303	−	0.0759350i
$185$	0.474723	+	0.274081i	0.0349023	+	0.0201509i
$186$	−0.893564	−	1.25483i	−0.0655193	−	0.0920089i
$187$	−28.0735	+	6.81055i	−2.05293	+	0.498037i
$188$	2.85351	−	2.47258i	0.208114	−	0.180332i
$189$	0.360551	+	2.62107i	0.0262262	+	0.190655i
$190$	1.19782	−	1.38236i	0.0868989	−	0.100287i
$191$	3.47034	+	8.66849i	0.251105	+	0.627230i	0.999345	−	0.0361988i	$-0.0115250\pi$
$191$	3.47034	+	8.66849i	0.251105	+	0.627230i	−0.748240	+	0.663428i	$0.769101\pi$
$192$	0.971812	+	0.235759i	0.0701345	+	0.0170144i
$193$	−0.550464	+	0.283784i	−0.0396233	+	0.0204272i	−0.477924	−	0.878401i	$-0.658611\pi$
$193$	−0.550464	+	0.283784i	−0.0396233	+	0.0204272i	0.438301	+	0.898828i	$0.355580\pi$
$194$	−14.9767	+	11.7778i	−1.07526	+	0.845596i
$195$	1.50373	+	3.29270i	0.107684	+	0.235795i
$196$	−3.99055	−	5.75113i	−0.285039	−	0.410795i
$197$	−1.68868	−	11.7450i	−0.120314	−	0.836799i	−0.957201	−	0.289424i	$-0.906536\pi$
$197$	−1.68868	−	11.7450i	−0.120314	−	0.836799i	0.836887	−	0.547375i	$-0.184373\pi$
$198$	−4.28021	−	0.203891i	−0.304181	−	0.0144899i
$199$	−3.38527	+	13.9543i	−0.239975	+	0.989191i	0.716549	+	0.697537i	$0.245721\pi$
$199$	−3.38527	+	13.9543i	−0.239975	+	0.989191i	−0.956524	+	0.291654i	$0.905794\pi$
$200$	3.03023	+	2.38300i	0.214269	+	0.168503i
$201$	9.93864	+	1.91552i	0.701018	+	0.135110i
$202$	−8.18281	−	12.7327i	−0.575740	−	0.895869i
$203$	−4.03324	−	14.0524i	−0.283078	−	0.986286i
$204$	1.89930	−	6.46843i	0.132978	−	0.452881i
$205$	−0.380878	−	3.98873i	−0.0266017	−	0.278585i
$206$	0.0740909	−	0.128329i	0.00516216	−	0.00894112i
$207$	0.558576	−	4.76319i	0.0388237	−	0.331065i
$208$	2.92963	−	1.69142i	0.203133	−	0.117279i
$209$	6.66285	+	3.04282i	0.460879	+	0.210476i
$210$	−2.77661	−	0.552731i	−0.191604	−	0.0381421i
$211$	3.68148	+	4.24866i	0.253444	+	0.292490i	0.868187	−	0.496238i	$-0.165286\pi$
$211$	3.68148	+	4.24866i	0.253444	+	0.292490i	−0.614743	+	0.788728i	$0.710740\pi$
$212$	−6.62415	+	12.8491i	−0.454948	+	0.882477i
$213$	4.69544	−	1.62511i	0.321726	−	0.111350i
$214$	10.0795	−	12.8171i	0.689022	−	0.876162i
$215$	−2.47646	+	2.59723i	−0.168893	+	0.177130i
$216$	0.540641	−	0.841254i	0.0367859	−	0.0572401i
$217$	2.96683	−	2.79452i	0.201402	−	0.189705i
$218$	−2.03023	+	0.927177i	−0.137505	+	0.0627964i
$219$	−2.44315	+	3.43092i	−0.165093	+	0.231840i
$220$	1.70416	−	4.25678i	0.114894	−	0.286992i
$221$	−10.4501	−	20.2703i	−0.702949	−	1.36353i
$222$	−0.370752	−	0.353512i	−0.0248833	−	0.0237261i
$223$	−25.0055	−	3.59525i	−1.67449	−	0.240756i	−0.761333	−	0.648361i	$-0.775455\pi$
$223$	−25.0055	−	3.59525i	−1.67449	−	0.240756i	−0.913158	+	0.407605i	$0.866364\pi$
$224$	−0.267553	+	2.63219i	−0.0178766	+	0.175870i
$225$	3.24303	−	2.08417i	0.216202	−	0.138944i
$226$	−16.0888	−	5.56838i	−1.07021	−	0.370403i
$227$	−7.17512	+	6.84146i	−0.476229	+	0.454084i	−0.889775	−	0.456400i	$-0.849139\pi$
$227$	−7.17512	+	6.84146i	−0.476229	+	0.454084i	0.413545	+	0.910483i	$0.364290\pi$
$228$	−1.39242	+	0.991535i	−0.0922150	+	0.0656660i
$229$	5.62656	+	9.74548i	0.371813	+	0.644000i	0.989845	−	0.142154i	$-0.0454028\pi$
$229$	5.62656	+	9.74548i	0.371813	+	0.644000i	−0.618031	+	0.786154i	$0.712069\pi$
$230$	4.62104	+	2.23185i	0.304703	+	0.147164i
$231$	−1.00882	−	11.2922i	−0.0663755	−	0.742974i
$232$	−2.29548	+	5.02640i	−0.150706	+	0.329999i
$233$	2.99647	+	12.3516i	0.196305	+	0.809180i	0.981739	+	0.190234i	$0.0609248\pi$
$233$	2.99647	+	12.3516i	0.196305	+	0.809180i	−0.785434	+	0.618946i	$0.787560\pi$
$234$	−0.640208	−	3.32171i	−0.0418517	−	0.217147i
$235$	4.03566	−	0.192242i	0.263257	−	0.0125405i
$236$	−1.92926	+	10.0099i	−0.125584	+	0.651592i
$237$	−1.99314	+	13.8626i	−0.129468	+	0.900472i
$238$	17.6390	+	2.64600i	1.14337	+	0.171515i
$239$	−5.19703	−	3.33993i	−0.336168	−	0.216042i	0.361655	−	0.932312i	$-0.382212\pi$
$239$	−5.19703	−	3.33993i	−0.336168	−	0.216042i	−0.697824	+	0.716270i	$0.745848\pi$
$240$	0.661461	+	0.841117i	0.0426972	+	0.0542939i
$241$	−16.5391	−	1.57929i	−1.06538	−	0.101731i	−0.452386	−	0.891822i	$-0.649427\pi$
$241$	−16.5391	−	1.57929i	−1.06538	−	0.101731i	−0.612990	+	0.790091i	$0.710033\pi$
$242$	7.32840	+	0.699777i	0.471087	+	0.0449834i
$243$	−0.618159	−	0.786053i	−0.0396549	−	0.0504253i
$244$	6.64329	+	4.26939i	0.425293	+	0.273319i
$245$	0.447637	−	7.47697i	0.0285985	−	0.477686i
$246$	−0.532907	+	3.70645i	−0.0339769	+	0.236315i
$247$	−1.09436	+	5.67806i	−0.0696322	+	0.361286i
$248$	−1.53873	+	0.0732988i	−0.0977095	+	0.00465448i
$249$	2.31493	+	12.0110i	0.146703	+	0.761168i
$250$	2.23388	+	9.20820i	0.141283	+	0.582377i
$251$	−1.46039	+	3.19781i	−0.0921791	+	0.201844i	−0.950106	−	0.311928i	$-0.899025\pi$
$251$	−1.46039	+	3.19781i	−0.0921791	+	0.201844i	0.857927	+	0.513772i	$0.171752\pi$
$252$	2.39991	+	1.11374i	0.151180	+	0.0701592i
$253$	−3.36200	+	20.2736i	−0.211367	+	1.27459i
$254$	6.32268	+	10.9512i	0.396720	+	0.687140i
$255$	5.87615	−	4.18439i	0.367979	−	0.262037i
$256$	0.723734	−	0.690079i	0.0452334	−	0.0431299i
$257$	−2.74998	−	0.951777i	−0.171539	−	0.0593702i	0.239949	−	0.970786i	$-0.422869\pi$
$257$	−2.74998	−	0.951777i	−0.171539	−	0.0593702i	−0.411488	+	0.911415i	$0.634991\pi$
$258$	2.82133	−	1.81316i	0.175648	−	0.112882i
$259$	0.792903	−	1.09923i	0.0492686	−	0.0683026i
$260$	3.58297	+	0.515154i	0.222207	+	0.0319485i
$261$	3.99917	+	3.81320i	0.247543	+	0.236031i
$262$	6.25658	+	12.1361i	0.386533	+	0.749768i
$263$	−9.73978	+	24.3288i	−0.600581	+	1.50018i	0.246732	+	0.969084i	$0.420643\pi$
$263$	−9.73978	+	24.3288i	−0.600581	+	1.50018i	−0.847313	+	0.531094i	$0.821781\pi$
$264$	−2.48558	+	3.49051i	−0.152977	+	0.214826i
$265$	−14.0708	+	6.42594i	−0.864365	+	0.394742i
$266$	−3.10092	−	3.29212i	−0.190130	−	0.201853i
$267$	9.91528	−	15.4285i	0.606806	−	0.944208i
$268$	6.98467	−	7.32531i	0.426656	−	0.447464i
$269$	7.87207	−	10.0101i	0.479968	−	0.610330i	−0.484415	−	0.874838i	$-0.660967\pi$
$269$	7.87207	−	10.0101i	0.479968	−	0.610330i	0.964383	+	0.264509i	$0.0852099\pi$
$270$	1.01120	−	0.349979i	0.0615396	−	0.0212991i
$271$	−4.76078	+	9.23462i	−0.289197	+	0.560963i	−0.988019	−	0.154332i	$-0.950677\pi$
$271$	−4.76078	+	9.23462i	−0.289197	+	0.560963i	0.698822	+	0.715295i	$0.253708\pi$
$272$	−4.41475	−	5.09489i	−0.267683	−	0.308923i
$273$	8.47562	−	2.87568i	0.512968	−	0.174044i
$274$	−4.15386	−	1.89700i	−0.250944	−	0.114602i
$275$	−14.3058	+	8.25943i	−0.862670	+	0.498063i
$276$	−3.70506	−	3.04508i	−0.223019	−	0.183292i
$277$	−0.757122	+	1.31137i	−0.0454910	+	0.0787928i	−0.887874	−	0.460086i	$-0.847819\pi$
$277$	−0.757122	+	1.31137i	−0.0454910	+	0.0787928i	0.842383	+	0.538879i	$0.181152\pi$
$278$	−2.04948	−	21.4631i	−0.122919	−	1.28727i
$279$	−0.434002	+	1.47808i	−0.0259830	+	0.0884901i
$280$	−1.96613	+	2.03700i	−0.117499	+	0.121734i
$281$	17.7234	+	27.5781i	1.05729	+	1.64517i	0.704885	+	0.709322i	$0.250999\pi$
$281$	17.7234	+	27.5781i	1.05729	+	1.64517i	0.352402	+	0.935849i	$0.385365\pi$
$282$	−3.70751	−	0.714563i	−0.220779	−	0.0425516i
$283$	−9.83268	−	7.73250i	−0.584492	−	0.459650i	0.281602	−	0.959531i	$-0.409134\pi$
$283$	−9.83268	−	7.73250i	−0.584492	−	0.459650i	−0.866094	+	0.499882i	$0.833377\pi$
$284$	1.17142	−	4.82865i	0.0695109	−	0.286528i
$285$	−1.82705	−	0.0870330i	−0.108225	−	0.00515539i
$286$	2.06295	+	14.3482i	0.121985	+	0.848424i
$287$	−9.90700	−	0.0604215i	−0.584792	−	0.00356657i
$288$	−0.415415	−	0.909632i	−0.0244786	−	0.0536006i
$289$	−22.3616	+	17.5853i	−1.31539	+	1.03443i
$290$	−5.25554	+	2.70942i	−0.308616	+	0.159102i
$291$	18.5159	+	4.49192i	1.08542	+	0.263321i
$292$	1.56541	+	3.91020i	0.0916086	+	0.228827i
$293$	4.36781	−	5.04072i	0.255170	−	0.294482i	−0.613682	−	0.789553i	$-0.710312\pi$
$293$	4.36781	−	5.04072i	0.255170	−	0.294482i	0.868853	+	0.495071i	$0.164858\pi$
$294$	−2.05390	+	6.69190i	−0.119786	+	0.390279i
$295$	−8.24392	+	7.14340i	−0.479980	+	0.415905i
$296$	−0.497837	+	0.120774i	−0.0289362	+	0.00701984i
$297$	2.48558	+	3.49051i	0.144228	+	0.202540i
$298$	−11.0776	−	6.39568i	−0.641711	−	0.370492i
$299$	−16.1796	+	1.19400i	−0.935689	+	0.0690509i
$300$		−	3.85499i		−	0.222568i
$301$	5.76965	+	6.74117i	0.332557	+	0.388555i
$302$	−3.47461	−	1.02024i	−0.199941	−	0.0587080i
$303$	−4.95030	+	14.3030i	−0.284387	+	0.821683i
$304$	0.0813354	+	1.70744i	0.00466490	+	0.0979284i
$305$	2.76375	+	7.98534i	0.158252	+	0.457239i
$306$	−6.25860	+	2.50557i	−0.357780	+	0.143234i
$307$	0.289860	+	0.987174i	0.0165432	+	0.0563410i	0.967351	−	0.253441i	$-0.0815622\pi$
$307$	0.289860	+	0.987174i	0.0165432	+	0.0563410i	−0.950808	+	0.309782i	$0.899744\pi$
$308$	−10.0450	−	5.25637i	−0.572369	−	0.299509i
$309$	−0.146674	+	0.0210885i	−0.00834397	+	0.00119968i
$310$	−1.34274	−	0.956158i	−0.0762623	−	0.0543061i
$311$	2.20455	−	23.0871i	0.125008	−	1.30915i	−0.687494	−	0.726190i	$-0.741289\pi$
$311$	2.20455	−	23.0871i	0.125008	−	1.30915i	0.812502	−	0.582958i	$-0.198105\pi$
$312$	−3.14053	−	1.25728i	−0.177797	−	0.0711793i
$313$	1.08168	−	22.7072i	0.0611401	−	1.28349i	−0.734871	−	0.678206i	$-0.762758\pi$
$313$	1.08168	−	22.7072i	0.0611401	−	1.28349i	0.796011	−	0.605282i	$-0.206939\pi$
$314$	−3.48086	+	1.02207i	−0.196436	+	0.0576790i
$315$	1.28191	+	2.52424i	0.0722274	+	0.142225i
$316$	10.5844	+	9.17142i	0.595418	+	0.515933i
$317$	−24.0691	−	12.4085i	−1.35185	−	0.696929i	−0.378363	−	0.925657i	$-0.623513\pi$
$317$	−24.0691	−	12.4085i	−1.35185	−	0.696929i	−0.973490	+	0.228729i	$0.926543\pi$
$318$	14.1948	−	2.73583i	0.796006	−	0.153418i
$319$	−16.3398	−	17.1367i	−0.914854	−	0.959471i
$320$	1.06521	−	0.101715i	0.0595468	−	0.00568603i
$321$	−16.3057			−0.910096
$322$	6.64550	−	10.8091i	0.370339	−	0.602369i
$323$	11.5238			0.641200
$324$	−0.995472	+	0.0950560i	−0.0553040	+	0.00528089i
$325$	−8.99922	−	9.43811i	−0.499187	−	0.523532i
$326$	11.7511	−	2.26483i	0.650831	−	0.125437i
$327$	1.98382	+	1.02273i	0.109705	+	0.0565571i
$328$	2.82995	+	2.45217i	0.156258	+	0.135398i
$329$	0.536174	−	9.97527i	0.0295602	−	0.549954i
$330$	−4.39950	+	1.29181i	−0.242184	+	0.0711117i
$331$	−0.303604	+	6.37342i	−0.0166876	+	0.350315i	0.975046	+	0.222002i	$0.0712592\pi$
$331$	−0.303604	+	6.37342i	−0.0166876	+	0.350315i	−0.991734	+	0.128313i	$0.959044\pi$
$332$	11.3559	+	4.54620i	0.623234	+	0.249505i
$333$	−0.0486950	+	0.509957i	−0.00266847	+	0.0279455i
$334$	−12.1087	−	8.62260i	−0.662561	−	0.471808i
$335$	10.7203	−	1.54135i	0.585714	−	0.0842130i
$336$	2.23443	−	1.41680i	0.121898	−	0.0772928i
$337$	−7.15011	−	24.3511i	−0.389492	−	1.32649i	−0.888096	−	0.459657i	$-0.847972\pi$
$337$	−7.15011	−	24.3511i	−0.389492	−	1.32649i	0.498605	−	0.866829i	$-0.333846\pi$
$338$	1.44486	−	0.578435i	0.0785900	−	0.0314627i
$339$	5.56838	+	16.0888i	0.302433	+	0.873822i
$340$	−0.343244	−	7.20559i	−0.0186150	−	0.390778i
$341$	2.15899	−	6.23798i	0.116916	−	0.337805i
$342$	1.64013	+	0.481587i	0.0886883	+	0.0260412i
$343$	−18.2805	−	2.97065i	−0.987052	−	0.160400i
$344$		−	3.35372i		−	0.180821i
$345$	−1.10219	−	5.01202i	−0.0593397	−	0.269838i
$346$	17.7479	+	10.2467i	0.954132	+	0.550868i
$347$	4.83157	+	6.78499i	0.259372	+	0.364237i	0.923642	−	0.383255i	$-0.125197\pi$
$347$	4.83157	+	6.78499i	0.259372	+	0.364237i	−0.664270	+	0.747492i	$0.731258\pi$
$348$	5.36999	−	1.30274i	0.287862	−	0.0698345i
$349$	8.78828	−	7.61508i	0.470426	−	0.407626i	−0.387124	−	0.922028i	$-0.626531\pi$
$349$	8.78828	−	7.61508i	0.470426	−	0.407626i	0.857549	+	0.514402i	$0.171986\pi$
$350$	10.1042	−	1.38992i	0.540092	−	0.0742944i
$351$	−2.21529	+	2.55659i	−0.118244	+	0.136460i
$352$	1.59260	+	3.97811i	0.0848856	+	0.212034i
$353$	0.434082	+	0.105307i	0.0231039	+	0.00560494i	0.247294	−	0.968940i	$-0.420459\pi$
$353$	0.434082	+	0.105307i	0.0231039	+	0.00560494i	−0.224190	+	0.974545i	$0.571974\pi$
$354$	9.06094	−	4.67124i	0.481583	−	0.248273i
$355$	4.17927	−	3.28661i	0.221813	−	0.174435i
$356$	−7.61866	−	16.6825i	−0.403788	−	0.884173i
$357$	−8.82381	−	15.5008i	−0.467005	−	0.820391i
$358$	−0.764955	−	5.32038i	−0.0404291	−	0.281191i
$359$	−3.77820	−	0.179978i	−0.199406	−	0.00949886i	−0.0523585	−	0.998628i	$-0.516674\pi$
$359$	−3.77820	−	0.179978i	−0.199406	−	0.00949886i	−0.147047	+	0.989129i	$0.546977\pi$
$360$	0.252274	−	1.03989i	0.0132960	−	0.0548069i
$361$	12.6382	+	9.93878i	0.665168	+	0.523094i
$362$	−8.48676	−	1.63569i	−0.446054	−	0.0859699i
$363$	−3.98005	−	6.19309i	−0.208899	−	0.325053i
$364$	2.16309	−	8.68485i	0.113377	−	0.455210i
$365$	−1.26976	+	4.32439i	−0.0664621	+	0.226349i
$366$	−0.750648	−	7.86114i	−0.0392370	−	0.410908i
$367$	−6.13925	+	10.6335i	−0.320466	+	0.555064i	−0.980584	−	0.196098i	$-0.937173\pi$
$367$	−6.13925	+	10.6335i	−0.320466	+	0.555064i	0.660118	+	0.751162i	$0.270506\pi$
$368$	−4.56479	+	1.47060i	−0.237956	+	0.0766604i
$369$	3.24289	−	1.87228i	0.168818	−	0.0974671i
$370$	−0.498626	−	0.227715i	−0.0259223	−	0.0118383i
$371$	12.2887	+	36.2192i	0.638000	+	1.88041i
$372$	1.00880	+	1.16421i	0.0523037	+	0.0603617i
$373$	14.0351	−	27.2242i	0.726709	−	1.40962i	−0.178192	−	0.983996i	$-0.557025\pi$
$373$	14.0351	−	27.2242i	0.726709	−	1.40962i	0.904901	−	0.425622i	$-0.139945\pi$
$374$	27.2990	−	9.44826i	1.41160	−	0.488558i
$375$	5.85724	−	7.44808i	0.302466	−	0.384617i
$376$	−2.60556	+	2.73263i	−0.134371	+	0.140925i
$377$	10.1061	−	15.7254i	0.520489	−	0.809897i
$378$	−0.608067	−	2.57493i	−0.0312756	−	0.132440i
$379$	0.222966	−	0.101825i	0.0114530	−	0.00523040i	−0.409680	−	0.912229i	$-0.634360\pi$
$379$	0.222966	−	0.101825i	0.0114530	−	0.00523040i	0.421133	+	0.906999i	$0.361632\pi$
$380$	−1.06099	+	1.48996i	−0.0544278	+	0.0764331i
$381$	4.69981	−	11.7395i	0.240778	−	0.601435i
$382$	−4.27862	−	8.29936i	−0.218913	−	0.424632i
$383$	5.21608	+	4.97353i	0.266529	+	0.254135i	0.811544	−	0.584291i	$-0.198627\pi$
$383$	5.21608	+	4.97353i	0.266529	+	0.254135i	−0.545015	+	0.838427i	$0.683476\pi$
$384$	−0.989821	−	0.142315i	−0.0505116	−	0.00726247i
$385$	−4.97216	−	11.0656i	−0.253405	−	0.563956i
$386$	0.520996	−	0.334824i	0.0265180	−	0.0170421i
$387$	−3.16927	−	1.09690i	−0.161103	−	0.0557583i
$388$	13.7893	−	13.1481i	0.700046	−	0.667493i
$389$	13.1423	−	9.35862i	0.666343	−	0.474501i	−0.196147	−	0.980574i	$-0.562843\pi$
$389$	13.1423	−	9.35862i	0.666343	−	0.474501i	0.862490	+	0.506074i	$0.168904\pi$
$390$	−1.80991	−	3.13485i	−0.0916483	−	0.158740i
$391$	8.43858	+	31.2105i	0.426757	+	1.57838i
$392$	4.51916	+	5.34577i	0.228252	+	0.270002i
$393$	5.67203	−	12.4200i	0.286116	−	0.626507i
$394$	2.79747	+	11.5313i	0.140935	+	0.580940i
$395$	2.83616	+	14.7154i	0.142703	+	0.740412i
$396$	4.28021	−	0.203891i	0.215088	−	0.0102459i
$397$	−2.32944	+	12.0863i	−0.116911	+	0.606594i	0.875458	+	0.483294i	$0.160560\pi$
$397$	−2.32944	+	12.0863i	−0.116911	+	0.606594i	−0.992369	+	0.123300i	$0.960652\pi$
$398$	2.04350	−	14.2129i	0.102431	−	0.712426i
$399$	−0.670920	+	4.47254i	−0.0335880	+	0.223907i
$400$	−3.24303	−	2.08417i	−0.162151	−	0.104208i
$401$	5.39498	+	6.86027i	0.269412	+	0.342586i	0.901869	−	0.432010i	$-0.142196\pi$
$401$	5.39498	+	6.86027i	0.269412	+	0.342586i	−0.632456	+	0.774596i	$0.717953\pi$
$402$	−10.0757	−	0.962114i	−0.502531	−	0.0479859i
$403$	5.18760	+	0.495355i	0.258413	+	0.0246754i
$404$	9.35608	+	11.8972i	0.465482	+	0.591909i
$405$	−0.900184	−	0.578513i	−0.0447305	−	0.0287465i
$406$	5.35074	+	13.6054i	0.265553	+	0.675225i
$407$	0.312401	−	2.17279i	0.0154851	−	0.107701i
$408$	−1.27584	+	6.61968i	−0.0631634	+	0.327723i
$409$	−21.1998	+	1.00987i	−1.04826	+	0.0499350i	−0.564637	−	0.825339i	$-0.690984\pi$
$409$	−21.1998	+	1.00987i	−1.04826	+	0.0499350i	−0.483627	+	0.875274i	$0.660681\pi$
$410$	0.758306	+	3.93447i	0.0374501	+	0.194309i
$411$	1.07660	+	4.43780i	0.0531047	+	0.218901i
$412$	−0.0615570	+	0.134791i	−0.00303269	+	0.00664067i
$413$	15.5106	+	22.0651i	0.763225	+	1.08575i
$414$	−0.103277	+	4.79472i	−0.00507578	+	0.235648i
$415$	6.54447	+	11.3354i	0.321255	+	0.556431i
$416$	−2.75559	+	1.96224i	−0.135104	+	0.0962069i
$417$	−15.6042	+	14.8786i	−0.764142	+	0.728608i
$418$	−6.92192	−	2.39570i	−0.338562	−	0.117178i
$419$	22.4365	−	14.4191i	1.09609	−	0.704417i	0.137875	−	0.990450i	$-0.455973\pi$
$419$	22.4365	−	14.4191i	1.09609	−	0.704417i	0.958220	+	0.286032i	$0.0923365\pi$
$420$	2.81658	+	0.286295i	0.137435	+	0.0139698i
$421$	16.2407	+	2.33505i	0.791521	+	0.113804i	0.526205	−	0.850358i	$-0.323614\pi$
$421$	16.2407	+	2.33505i	0.791521	+	0.113804i	0.265316	+	0.964161i	$0.414524\pi$
$422$	−4.06867	−	3.87947i	−0.198060	−	0.188850i
$423$	1.73014	+	3.35601i	0.0841225	+	0.163175i
$424$	5.37277	−	13.4205i	0.260925	−	0.651759i
$425$	−15.0748	+	21.1696i	−0.731234	+	1.02687i
$426$	−4.51970	+	2.06408i	−0.218980	+	0.100005i
$427$	20.3339	−	4.80184i	0.984029	−	0.232378i
$428$	−8.81553	+	13.7172i	−0.426115	+	0.663047i
$429$	10.0032	−	10.4910i	0.482958	−	0.506512i
$430$	2.21836	−	2.82087i	0.106979	−	0.136035i
$431$	24.1576	−	8.36104i	1.16363	−	0.402737i	0.324087	−	0.946027i	$-0.394943\pi$
$431$	24.1576	−	8.36104i	1.16363	−	0.402737i	0.839545	+	0.543290i	$0.182822\pi$
$432$	−0.458227	+	0.888835i	−0.0220464	+	0.0427641i
$433$	−9.46087	−	10.9184i	−0.454660	−	0.524706i	0.481421	−	0.876489i	$-0.340121\pi$
$433$	−9.46087	−	10.9184i	−0.454660	−	0.524706i	−0.936081	+	0.351783i	$0.885575\pi$
$434$	−2.68776	+	3.06389i	−0.129017	+	0.147071i
$435$	5.37850	+	2.45628i	0.257879	+	0.117770i
$436$	1.93291	−	1.11596i	0.0925695	−	0.0534450i
$437$	3.21003	−	7.54327i	0.153557	−	0.360843i
$438$	2.10595	−	3.64762i	0.100626	−	0.174290i
$439$	−3.95602	−	41.4293i	−0.188811	−	1.97731i	−0.210691	−	0.977553i	$-0.567572\pi$
$439$	−3.95602	−	41.4293i	−0.188811	−	1.97731i	0.0218809	−	0.999761i	$-0.493035\pi$
$440$	−1.29181	+	4.39950i	−0.0615846	+	0.209738i
$441$	6.52982	−	2.52218i	0.310944	−	0.120104i
$442$	12.3296	+	19.1852i	0.586458	+	0.912547i
$443$	19.0230	+	3.66638i	0.903809	+	0.174195i	0.619923	−	0.784663i	$-0.287164\pi$
$443$	19.0230	+	3.66638i	0.903809	+	0.174195i	0.283887	+	0.958858i	$0.408376\pi$
$444$	0.402677	+	0.316669i	0.0191102	+	0.0150284i
$445$	4.62667	−	19.0714i	0.219325	−	0.904072i
$446$	25.2340	+	1.20204i	1.19487	+	0.0569185i
$447$	1.82040	+	12.6612i	0.0861020	+	0.598853i
$448$	0.0161358	−	2.64570i	0.000762344	−	0.124998i
$449$	12.8931	+	28.2319i	0.608462	+	1.33235i	0.923621	+	0.383307i	$0.125215\pi$
$449$	12.8931	+	28.2319i	0.608462	+	1.33235i	−0.315159	+	0.949039i	$0.602058\pi$
$450$	−3.03023	+	2.38300i	−0.142846	+	0.112336i
$451$	−14.2620	+	7.35256i	−0.671570	+	0.346218i
$452$	16.5452	+	4.01383i	0.778222	+	0.188795i
$453$	1.34590	+	3.36190i	0.0632359	+	0.157956i
$454$	6.49231	−	7.49252i	0.304699	−	0.351641i
$455$	7.56411	−	5.87417i	0.354611	−	0.275385i
$456$	1.29186	−	1.11940i	0.0604969	−	0.0524208i
$457$	−6.76903	+	1.64215i	−0.316642	+	0.0768165i	−0.390930	−	0.920420i	$-0.627847\pi$
$457$	−6.76903	+	1.64215i	−0.316642	+	0.0768165i	0.0742884	+	0.997237i	$0.476331\pi$
$458$	−6.52745	−	9.16652i	−0.305008	−	0.428323i
$459$	5.83832	+	3.37075i	0.272509	+	0.157333i
$460$	−4.81227	−	1.78249i	−0.224373	−	0.0831088i
$461$		−	16.8989i		−	0.787061i	−0.919311	−	0.393531i	$-0.871254\pi$
$461$		−	16.8989i		−	0.787061i	0.919311	−	0.393531i	$-0.128746\pi$
$462$	2.07765	+	11.1452i	0.0966609	+	0.518522i
$463$	−10.3006	−	3.02452i	−0.478709	−	0.140562i	0.0334713	−	0.999440i	$-0.489344\pi$
$463$	−10.3006	−	3.02452i	−0.478709	−	0.140562i	−0.512180	+	0.858878i	$0.671162\pi$
$464$	1.80730	−	5.22184i	0.0839016	−	0.242418i
$465$	0.0784334	+	1.64652i	0.00363726	+	0.0763555i
$466$	−4.15699	−	12.0108i	−0.192569	−	0.556391i
$467$	−10.9110	+	4.36811i	−0.504901	+	0.202132i	−0.610108	−	0.792318i	$-0.708874\pi$
$467$	−10.9110	+	4.36811i	−0.504901	+	0.202132i	0.105206	+	0.994450i	$0.466450\pi$
$468$	0.953058	+	3.24582i	0.0440551	+	0.150038i
$469$	−1.11104	−	26.7560i	−0.0513032	−	1.23548i
$470$	−3.99911	+	0.574985i	−0.184465	+	0.0265221i
$471$	2.95513	+	2.10434i	0.136165	+	0.0969628i
$472$	0.969017	−	10.1480i	0.0446026	−	0.467100i
$473$	13.3415	+	5.34113i	0.613442	+	0.245585i
$474$	0.666392	−	13.9893i	0.0306084	−	0.642549i
$475$	6.32270	−	1.85651i	0.290105	−	0.0851827i
$476$	−17.8106	−	0.957328i	−0.816350	−	0.0438791i
$477$	−10.9252	−	9.46670i	−0.500229	−	0.433451i
$478$	5.49098	+	2.83080i	0.251152	+	0.129478i
$479$	−2.96905	+	0.572237i	−0.135659	+	0.0261462i	−0.256629	−	0.966510i	$-0.582612\pi$
$479$	−2.96905	+	0.572237i	−0.135659	+	0.0261462i	0.120970	+	0.992656i	$0.461400\pi$
$480$	−0.738420	−	0.774432i	−0.0337041	−	0.0353478i
$481$	1.72511	−	0.164728i	0.0786582	−	0.00751094i
$482$	16.6143			0.756761
$483$	−12.6045	+	1.45805i	−0.573526	+	0.0663434i
$484$	−7.36174			−0.334624
$485$	20.2954	−	1.93797i	0.921565	−	0.0879988i
$486$	0.690079	+	0.723734i	0.0313026	+	0.0328292i
$487$	3.74606	−	0.721993i	0.169750	−	0.0327166i	−0.103668	−	0.994612i	$-0.533058\pi$
$487$	3.74606	−	0.721993i	0.169750	−	0.0327166i	0.273418	+	0.961895i	$0.411846\pi$
$488$	−7.01904	−	3.61857i	−0.317737	−	0.163805i
$489$	−9.04430	−	7.83693i	−0.408998	−	0.354398i
$490$	0.265120	+	7.48566i	0.0119769	+	0.338168i
$491$	15.1009	−	4.43401i	0.681492	−	0.200104i	0.0773779	−	0.997002i	$-0.475345\pi$
$491$	15.1009	−	4.43401i	0.681492	−	0.200104i	0.604114	+	0.796898i	$0.293527\pi$
$492$	0.178174	−	3.74032i	0.00803269	−	0.168627i
$493$	−34.5835	−	13.8451i	−1.55756	−	0.623553i
$494$	0.549667	−	5.75637i	0.0247307	−	0.258991i
$495$	3.73502	+	2.65970i	0.167877	+	0.119544i
$496$	1.52480	−	0.219233i	0.0684654	−	0.00984383i
$497$	−7.03967	−	11.1022i	−0.315773	−	0.498004i
$498$	−3.44617	−	11.7366i	−0.154427	−	0.525929i
$499$	34.5841	−	13.8454i	1.54819	−	0.619804i	0.568930	−	0.822386i	$-0.307358\pi$
$499$	34.5841	−	13.8454i	1.54819	−	0.619804i	0.979265	+	0.202582i	$0.0649334\pi$
$500$	−3.09906	−	8.95416i	−0.138594	−	0.400442i
$501$	0.707309	+	14.8483i	0.0316003	+	0.663371i
$502$	1.14981	−	3.32215i	0.0513184	−	0.148275i
$503$	−3.30952	−	0.971763i	−0.147564	−	0.0433288i	0.207116	−	0.978316i	$-0.433592\pi$
$503$	−3.30952	−	0.971763i	−0.147564	−	0.0433288i	−0.354680	+	0.934988i	$0.615410\pi$
$504$	−2.49491	−	0.880573i	−0.111132	−	0.0392238i
$505$			16.1956i			0.720696i
$506$	1.41965	−	20.5013i	0.0631111	−	0.911395i
$507$	−1.34783	−	0.778172i	−0.0598594	−	0.0345598i
$508$	−7.33503	−	10.3006i	−0.325439	−	0.457016i
$509$	−5.88039	+	1.42657i	−0.260644	+	0.0632314i	−0.363951	−	0.931418i	$-0.618573\pi$
$509$	−5.88039	+	1.42657i	−0.260644	+	0.0632314i	0.103308	+	0.994649i	$0.467057\pi$
$510$	−5.45179	+	4.72401i	−0.241409	+	0.209182i
$511$	10.3200	+	4.20470i	0.456528	+	0.186005i
$512$	−0.654861	+	0.755750i	−0.0289410	+	0.0333997i
$513$	−0.635311	−	1.58693i	−0.0280497	−	0.0700647i
$514$	2.82800	+	0.686065i	0.124738	+	0.0302610i
$515$	−0.140936	+	0.0726573i	−0.00621036	+	0.00320167i
$516$	−2.63621	+	2.07313i	−0.116052	+	0.0912647i
$517$	−6.72111	−	14.7172i	−0.295594	−	0.647261i
$518$	−0.684825	+	1.16962i	−0.0300895	+	0.0513901i
$519$	−2.91653	−	20.2849i	−0.128021	−	0.890408i
$520$	−3.61572	−	0.172238i	−0.158560	−	0.00755313i
$521$	5.84348	−	24.0872i	0.256008	−	1.05528i	−0.688093	−	0.725622i	$-0.741552\pi$
$521$	5.84348	−	24.0872i	0.256008	−	1.05528i	0.944101	−	0.329656i	$-0.106933\pi$
$522$	−4.34353	−	3.41579i	−0.190111	−	0.149505i
$523$	−22.2364	−	4.28572i	−0.972331	−	0.187401i	−0.321738	−	0.946829i	$-0.604267\pi$
$523$	−22.2364	−	4.28572i	−0.972331	−	0.187401i	−0.650592	+	0.759427i	$0.725479\pi$
$524$	−7.38185	−	11.4864i	−0.322478	−	0.501785i
$525$	−7.33855	−	7.08324i	−0.320281	−	0.309138i
$526$	7.38308	−	25.1445i	0.321918	−	1.09635i
$527$	−0.987169	−	10.3381i	−0.0430018	−	0.450335i
$528$	2.14253	−	3.71097i	0.0932416	−	0.161499i
$529$	22.7805	+	3.17014i	0.990456	+	0.137832i
$530$	13.3963	−	7.73436i	0.581898	−	0.335959i
$531$	−9.27294	−	4.23481i	−0.402411	−	0.183775i
$532$	3.39981	+	2.98245i	0.147401	+	0.129306i
$533$	−8.29531	−	9.57330i	−0.359310	−	0.414666i
$534$	−8.40382	+	16.3011i	−0.363669	+	0.705419i
$535$	−16.4883	+	5.70666i	−0.712852	+	0.246720i
$536$	−6.25673	+	7.95607i	−0.270249	+	0.343650i
$537$	−3.70923	+	3.89013i	−0.160065	+	0.167872i
$538$	−6.88490	+	10.7131i	−0.296829	+	0.461875i
$539$	−28.4632	+	9.46407i	−1.22600	+	0.407646i
$540$	−0.973352	+	0.444515i	−0.0418864	+	0.0191289i
$541$	3.71633	−	5.21885i	0.159777	−	0.224376i	−0.726925	−	0.686717i	$-0.759051\pi$
$541$	3.71633	−	5.21885i	0.159777	−	0.224376i	0.886702	+	0.462341i	$0.152991\pi$
$542$	3.86141	−	9.64535i	0.165862	−	0.414303i
$543$	3.96043	+	7.68216i	0.169958	+	0.329673i
$544$	4.87906	+	4.65217i	0.209188	+	0.199460i
$545$	2.36397	+	0.339887i	0.101261	+	0.0145592i
$546$	−8.16389	+	3.66831i	−0.349382	+	0.156989i
$547$	−12.6211	+	8.11107i	−0.539638	+	0.346804i	−0.781897	−	0.623407i	$-0.785748\pi$
$547$	−12.6211	+	8.11107i	−0.539638	+	0.346804i	0.242259	+	0.970212i	$0.422112\pi$
$548$	4.31537	+	1.49356i	0.184344	+	0.0638019i
$549$	−5.71525	+	5.44948i	−0.243921	+	0.232578i
$550$	13.4559	−	9.58188i	0.573760	−	0.408573i
$551$	4.72279	+	8.18011i	0.201198	+	0.348485i
$552$	3.97774	+	2.67910i	0.169304	+	0.114030i
$553$	36.9071	−	3.29719i	1.56945	−	0.140211i
$554$	0.629040	−	1.37740i	0.0267253	−	0.0585203i
$555$	0.129234	+	0.532711i	0.00548569	+	0.0226123i
$556$	4.08039	+	21.1711i	0.173047	+	0.897854i
$557$	−6.90232	+	0.328798i	−0.292460	+	0.0139316i	−0.193300	−	0.981140i	$-0.561919\pi$
$557$	−6.90232	+	0.328798i	−0.292460	+	0.0139316i	−0.0991610	+	0.995071i	$0.531616\pi$
$558$	0.291537	−	1.51264i	0.0123417	−	0.0640350i
$559$	−1.61458	+	11.2297i	−0.0682895	+	0.474964i
$560$	1.76360	−	2.21467i	0.0745258	−	0.0935869i
$561$	−24.3019	−	15.6179i	−1.02603	−	0.659388i
$562$	−20.2646	−	25.7685i	−0.854809	−	1.08698i
$563$	3.02565	+	0.288914i	0.127516	+	0.0121763i	0.158619	−	0.987340i	$-0.449296\pi$
$563$	3.02565	+	0.288914i	0.127516	+	0.0121763i	−0.0311029	+	0.999516i	$0.509902\pi$
$564$	3.75864	+	0.358907i	0.158267	+	0.0151127i
$565$	11.2615	+	14.3201i	0.473774	+	0.602452i
$566$	10.5232	+	6.76284i	0.442322	+	0.284263i
$567$	−1.64815	+	2.06969i	−0.0692157	+	0.0869187i
$568$	−0.707122	+	4.91814i	−0.0296702	+	0.206361i
$569$	2.46327	−	12.7807i	0.103266	−	0.535794i	−0.893044	−	0.449969i	$-0.851435\pi$
$569$	2.46327	−	12.7807i	0.103266	−	0.535794i	0.996310	−	0.0858254i	$-0.0273527\pi$
$570$	1.82705	−	0.0870330i	0.0765266	−	0.00364541i
$571$	1.27944	+	6.63837i	0.0535429	+	0.277807i	0.998826	−	0.0484446i	$-0.0154264\pi$
$571$	1.27944	+	6.63837i	0.0535429	+	0.277807i	−0.945283	+	0.326252i	$0.894214\pi$
$572$	−3.41749	−	14.0871i	−0.142892	−	0.589011i
$573$	−3.87887	+	8.49354i	−0.162042	+	0.354823i
$574$	9.86789	−	0.881573i	0.411878	−	0.0367961i
$575$	9.65806	+	15.7646i	0.402769	+	0.657431i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	−20.3849	+	14.5160i	−0.848634	+	0.604310i	−0.919462	−	0.393179i	$-0.871375\pi$
$577$	−20.3849	+	14.5160i	−0.848634	+	0.604310i	0.0708280	+	0.997489i	$0.477436\pi$
$578$	20.5887	−	19.6313i	0.856378	−	0.816555i
$579$	−0.585248	−	0.202556i	−0.0243221	−	0.00841795i
$580$	4.97419	−	3.19672i	0.206542	−	0.132737i
$581$	29.5199	−	13.2643i	1.22469	−	0.550296i
$582$	−18.8591	−	2.71153i	−0.781734	−	0.112396i
$583$	44.8318	+	42.7470i	1.85674	+	1.77040i
$584$	−1.93001	−	3.74369i	−0.0798643	−	0.154915i
$585$	−1.34535	+	3.36052i	−0.0556234	+	0.138941i
$586$	−3.86888	+	5.43309i	−0.159822	+	0.224439i
$587$	−17.9758	+	8.20929i	−0.741942	+	0.338834i	−0.750270	−	0.661132i	$-0.770076\pi$
$587$	−17.9758	+	8.20929i	−0.741942	+	0.338834i	0.00832759	+	0.999965i	$0.497349\pi$
$588$	1.40850	−	6.85683i	0.0580855	−	0.282771i
$589$	−1.42364	+	2.21523i	−0.0586602	+	0.0912771i
$590$	7.52757	−	7.89469i	0.309905	−	0.325019i
$591$	7.33496	−	9.32716i	0.301720	−	0.383668i
$592$	0.484102	−	0.167549i	0.0198965	−	0.00688624i
$593$	4.20451	−	8.15562i	0.172659	−	0.334911i	−0.786589	−	0.617476i	$-0.788155\pi$
$593$	4.20451	−	8.15562i	0.172659	−	0.334911i	0.959248	+	0.282565i	$0.0911854\pi$
$594$	−2.80612	−	3.23843i	−0.115136	−	0.132874i
$595$	−14.3476	−	12.5863i	−0.588194	−	0.515987i
$596$	11.6354	+	5.31373i	0.476606	+	0.217659i
$597$	−12.4353	+	7.17951i	−0.508942	+	0.293838i
$598$	15.9928	−	2.72656i	0.653995	−	0.111497i
$599$	17.0817	−	29.5863i	0.697938	−	1.20886i	−0.271242	−	0.962511i	$-0.587434\pi$
$599$	17.0817	−	29.5863i	0.697938	−	1.20886i	0.969180	−	0.246353i	$-0.0792323\pi$
$600$	0.366440	+	3.83754i	0.0149599	+	0.156667i
$601$	0.156417	−	0.532706i	0.00638037	−	0.0217295i	−0.956241	−	0.292579i	$-0.905486\pi$
$601$	0.156417	−	0.532706i	0.00638037	−	0.0217295i	0.962622	+	0.270850i	$0.0873046\pi$
$602$	−6.38432	−	6.16221i	−0.260205	−	0.251153i
$603$	5.47212	+	8.51479i	0.222842	+	0.346749i
$604$	3.55585	+	0.685335i	0.144686	+	0.0278859i
$605$	−6.19208	−	4.86950i	−0.251744	−	0.197974i
$606$	3.56830	−	14.7087i	0.144952	−	0.597502i
$607$	−30.9111	−	1.47248i	−1.25464	−	0.0597661i	−0.590294	−	0.807188i	$-0.700988\pi$
$607$	−30.9111	−	1.47248i	−1.25464	−	0.0597661i	−0.664350	+	0.747422i	$0.731291\pi$
$608$	−0.243270	−	1.69198i	−0.00986588	−	0.0686187i
$609$	7.38696	−	12.6163i	0.299335	−	0.511237i
$610$	−3.51029	−	7.68647i	−0.142128	−	0.311216i
$611$	10.0401	−	7.89559i	0.406177	−	0.319421i
$612$	5.99209	−	3.08914i	0.242216	−	0.124871i
$613$	23.1023	+	5.60456i	0.933093	+	0.226366i	0.673360	−	0.739315i	$-0.264850\pi$
$613$	23.1023	+	5.60456i	0.933093	+	0.226366i	0.259733	+	0.965681i	$0.416366\pi$
$614$	−0.382385	−	0.955151i	−0.0154318	−	0.0385468i
$615$	2.62395	−	3.02819i	0.105808	−	0.122109i
$616$	10.4992	+	4.27772i	0.423025	+	0.172354i
$617$	−21.0564	+	18.2455i	−0.847699	+	0.734535i	−0.966028	−	0.258439i	$-0.916792\pi$
$617$	−21.0564	+	18.2455i	−0.847699	+	0.734535i	0.118329	+	0.992974i	$0.462246\pi$
$618$	0.144005	−	0.0349352i	0.00579272	−	0.00140530i
$619$	16.1617	+	22.6960i	0.649594	+	0.912228i	0.999700	−	0.0244825i	$-0.00779381\pi$
$619$	16.1617	+	22.6960i	0.649594	+	0.912228i	−0.350106	+	0.936710i	$0.613854\pi$
$620$	1.42755	+	0.824194i	0.0573316	+	0.0331004i
$621$	3.83275	−	2.88272i	0.153803	−	0.115679i
$622$			23.1921i			0.929918i
$623$	−45.7564	−	16.1496i	−1.83319	−	0.647020i
$624$	3.24582	+	0.953058i	0.129937	+	0.0381529i
$625$	−2.98807	+	8.63345i	−0.119523	+	0.345338i
$626$	1.08168	+	22.7072i	0.0432326	+	0.907563i
$627$	2.39570	+	6.92192i	0.0956750	+	0.276435i
$628$	3.36795	−	1.34832i	0.134396	−	0.0538039i
$629$	−0.972969	−	3.31363i	−0.0387948	−	0.132123i
$630$	−1.51605	−	2.39095i	−0.0604008	−	0.0952579i
$631$	−31.6065	+	4.54433i	−1.25824	+	0.180907i	−0.738989	−	0.673717i	$-0.764696\pi$
$631$	−31.6065	+	4.54433i	−1.25824	+	0.180907i	−0.519247	+	0.854624i	$0.673787\pi$
$632$	−11.4083	−	8.12378i	−0.453796	−	0.323147i
$633$	−0.534384	+	5.59633i	−0.0212399	+	0.222434i
$634$	25.1396	+	10.0644i	0.998420	+	0.399707i
$635$	0.643839	−	13.5159i	0.0255500	−	0.536360i
$636$	−13.8705	+	4.07274i	−0.550001	+	0.161495i
$637$	−12.5584	−	20.0755i	−0.497582	−	0.795420i
$638$	17.8948	+	15.5059i	0.708461	+	0.613885i
$639$	4.41637	+	2.27680i	0.174709	+	0.0900687i
$640$	−1.05071	+	0.202508i	−0.0415331	+	0.00800485i
$641$	24.6350	+	25.8365i	0.973025	+	1.02048i	0.999783	+	0.0208371i	$0.00663314\pi$
$641$	24.6350	+	25.8365i	0.973025	+	1.02048i	−0.0267581	+	0.999642i	$0.508518\pi$
$642$	16.2319	−	1.54996i	0.640621	−	0.0611719i
$643$	10.7538			0.424090			0.212045	−	0.977260i	$-0.431988\pi$
$643$	10.7538			0.424090			0.212045	+	0.977260i	$0.431988\pi$
$644$	−5.58794	+	11.3919i	−0.220196	+	0.448903i
$645$	−3.58866			−0.141303
$646$	−11.4716	+	1.09540i	−0.451344	+	0.0430981i
$647$	−20.9475	−	21.9691i	−0.823531	−	0.863695i	0.169009	−	0.985615i	$-0.445943\pi$
$647$	−20.9475	−	21.9691i	−0.823531	−	0.863695i	−0.992540	+	0.121920i	$0.961095\pi$
$648$	0.981929	−	0.189251i	0.0385738	−	0.00743449i
$649$	38.8266	+	20.0165i	1.52408	+	0.785717i
$650$	9.85561	+	8.53994i	0.386569	+	0.334964i
$651$	4.06984	+	0.218755i	0.159510	+	0.00857370i
$652$	−11.4826	+	3.37159i	−0.449692	+	0.132042i
$653$	0.149102	−	3.13003i	0.00583481	−	0.122488i	−0.994071	−	0.108736i	$-0.965320\pi$
$653$	0.149102	−	3.13003i	0.00583481	−	0.122488i	0.999905	−	0.0137514i	$-0.00437736\pi$
$654$	−2.07205	−	0.829525i	−0.0810237	−	0.0324370i
$655$	1.38880	−	14.5442i	0.0542650	−	0.568289i
$656$	−3.05023	−	2.17206i	−0.119092	−	0.0848047i
$657$	−4.16904	+	0.599417i	−0.162650	+	0.0233855i
$658$	0.414463	+	9.98106i	0.0161575	+	0.389102i
$659$	10.6019	+	36.1066i	0.412989	+	1.40651i	0.859225	+	0.511598i	$0.170946\pi$
$659$	10.6019	+	36.1066i	0.412989	+	1.40651i	−0.446236	+	0.894915i	$0.647236\pi$
$660$	4.25678	−	1.70416i	0.165695	−	0.0663343i
$661$	2.71597	+	7.84728i	0.105639	+	0.305224i	0.985416	−	0.170163i	$-0.0544294\pi$
$661$	2.71597	+	7.84728i	0.105639	+	0.305224i	−0.879777	+	0.475387i	$0.842308\pi$
$662$	−0.303604	−	6.37342i	−0.0117999	−	0.247710i
$663$	7.45895	−	21.5512i	0.289681	−	0.836980i
$664$	−11.7366	−	3.44617i	−0.455468	−	0.133737i
$665$	0.886863	+	4.75744i	0.0343911	+	0.184485i
$666$		−	0.512277i		−	0.0198503i
$667$	−18.6963	+	18.7811i	−0.723922	+	0.727207i
$668$	12.8735	+	7.43255i	0.498092	+	0.287574i
$669$	−14.6538	−	20.5783i	−0.566547	−	0.795604i
$670$	−10.5253	+	2.55340i	−0.406627	+	0.0986466i
$671$	25.5736	−	22.1596i	0.987257	−	0.855463i
$672$	−2.08964	+	1.62278i	−0.0806095	+	0.0626001i
$673$	22.6422	−	26.1305i	0.872793	−	1.00726i	−0.127089	−	0.991891i	$-0.540563\pi$
$673$	22.6422	−	26.1305i	0.872793	−	1.00726i	0.999882	−	0.0153652i	$-0.00489109\pi$
$674$	9.43245	+	23.5611i	0.363325	+	0.907541i
$675$	3.74633	+	0.908849i	0.144196	+	0.0349816i
$676$	−1.38333	+	0.713158i	−0.0532051	+	0.0274292i
$677$	5.33559	−	4.19595i	0.205063	−	0.161264i	−0.510346	−	0.859969i	$-0.670483\pi$
$677$	5.33559	−	4.19595i	0.205063	−	0.161264i	0.715409	+	0.698706i	$0.246240\pi$
$678$	−7.07250	−	15.4866i	−0.271618	−	0.594760i
$679$	0.307435	−	50.4086i	0.0117983	−	1.93450i
$680$	1.02662	+	7.14033i	0.0393693	+	0.273819i
$681$	−9.90280	−	0.471728i	−0.379476	−	0.0180767i
$682$	−1.55625	+	6.41496i	−0.0595920	+	0.245641i
$683$	5.65054	+	4.44363i	0.216212	+	0.170031i	0.720391	−	0.693568i	$-0.243962\pi$
$683$	5.65054	+	4.44363i	0.216212	+	0.170031i	−0.504179	+	0.863599i	$0.668205\pi$
$684$	−1.67848	−	0.323501i	−0.0641785	−	0.0123694i
$685$	2.64180	+	4.11071i	0.100938	+	0.157062i
$686$	18.4801	+	1.21953i	0.705572	+	0.0465620i
$687$	−3.17037	+	10.7973i	−0.120957	+	0.411942i
$688$	0.318792	+	3.33854i	0.0121538	+	0.127281i
$689$	−24.4513	+	42.3509i	−0.931521	+	1.61344i
$690$	1.57362	+	4.88456i	0.0599067	+	0.185952i
$691$	−22.6884	+	13.0992i	−0.863109	+	0.498316i	−0.865052	−	0.501682i	$-0.832715\pi$
$691$	−22.6884	+	13.0992i	−0.863109	+	0.498316i	0.00194330	+	0.999998i	$0.499381\pi$
$692$	−18.6415	−	8.51330i	−0.708645	−	0.323627i
$693$	7.47640	−	8.52265i	0.284005	−	0.323749i
$694$	−5.45464	−	6.29499i	−0.207055	−	0.238955i
$695$	−10.5718	+	20.5064i	−0.401010	+	0.777851i
$696$	−5.22184	+	1.80730i	−0.197933	+	0.0685054i
$697$	−15.6048	+	19.8431i	−0.591075	+	0.751612i
$698$	−8.02462	+	8.41598i	−0.303736	+	0.318550i
$699$	−6.87148	+	10.6922i	−0.259903	+	0.404417i
$700$	−9.92633	+	2.34409i	−0.375180	+	0.0885984i
$701$	−34.5463	+	15.7768i	−1.30479	+	0.595880i	−0.941882	−	0.335943i	$-0.890945\pi$
$701$	−34.5463	+	15.7768i	−1.30479	+	0.595880i	−0.362913	+	0.931823i	$0.618218\pi$
$702$	1.96224	−	2.75559i	0.0740601	−	0.104003i
$703$	−0.325455	+	0.812947i	−0.0122748	+	0.0306609i
$704$	−1.96353	−	3.80871i	−0.0740032	−	0.143546i
$705$	2.92405	+	2.78808i	0.110126	+	0.105005i
$706$	−0.442127	−	0.0635682i	−0.0166397	−	0.00239242i
$707$	39.8392	+	4.04951i	1.49831	+	0.152298i
$708$	−8.57588	+	5.51138i	−0.322301	+	0.207130i
$709$	41.4811	+	14.3568i	1.55786	+	0.539179i	0.964117	−	0.265479i	$-0.0855300\pi$
$709$	41.4811	+	14.3568i	1.55786	+	0.539179i	0.593739	+	0.804658i	$0.297651\pi$
$710$	−3.84793	+	3.66900i	−0.144410	+	0.137695i
$711$	−11.4083	+	8.12378i	−0.427843	+	0.304666i
$712$	9.16994	+	15.8828i	0.343658	+	0.595233i
$713$	−7.04214	−	2.23357i	−0.263730	−	0.0836478i
$714$	10.2573	+	14.5919i	0.383870	+	0.546088i
$715$	6.44356	−	14.1094i	0.240975	−	0.527663i
$716$	1.26722	+	5.22357i	0.0473584	+	0.195214i
$717$	−1.16914	−	6.06608i	−0.0436624	−	0.226542i
$718$	3.77820	−	0.179978i	0.141001	−	0.00671671i
$719$	1.60148	−	8.30927i	0.0597251	−	0.309883i	−0.939765	−	0.341822i	$-0.888956\pi$
$719$	1.60148	−	8.30927i	0.0597251	−	0.309883i	0.999490	+	0.0319387i	$0.0101681\pi$
$720$	−0.152284	+	1.05916i	−0.00567529	+	0.0394725i
$721$	0.143489	+	0.364851i	0.00534380	+	0.0135877i
$722$	−13.5257	−	8.69244i	−0.503375	−	0.323499i
$723$	−10.2703	−	13.0597i	−0.381956	−	0.485697i
$724$	8.60381	+	0.821564i	0.319758	+	0.0305332i
$725$	−21.2053	−	2.02486i	−0.787544	−	0.0752013i
$726$	4.55072	+	5.78672i	0.168893	+	0.214765i
$727$	−31.6423	−	20.3353i	−1.17355	−	0.754193i	−0.199358	−	0.979927i	$-0.563886\pi$
$727$	−31.6423	−	20.3353i	−1.17355	−	0.754193i	−0.974189	+	0.225734i	$0.927522\pi$
$728$	−1.32775	+	8.85114i	−0.0492096	+	0.328045i
$729$	0.142315	−	0.989821i	0.00527092	−	0.0366601i
$730$	0.852947	−	4.42551i	0.0315690	−	0.163795i
$731$	22.5836	−	1.07579i	0.835283	−	0.0397894i
$732$	1.49450	+	7.75419i	0.0552382	+	0.286603i
$733$	−7.97580	−	32.8767i	−0.294593	−	1.21433i	−0.906091	−	0.423083i	$-0.860948\pi$
$733$	−7.97580	−	32.8767i	−0.294593	−	1.21433i	0.611498	−	0.791246i	$-0.290567\pi$
$734$	5.10067	−	11.1689i	0.188269	−	0.412252i
$735$	5.72024	−	4.83573i	0.210994	−	0.178369i
$736$	4.40433	−	1.89785i	0.162346	−	0.0699558i
$737$	−21.6857	−	37.5608i	−0.798804	−	1.38357i
$738$	−3.05023	+	2.17206i	−0.112281	+	0.0799547i
$739$	−35.0048	+	33.3770i	−1.28767	+	1.22779i	−0.328654	+	0.944450i	$0.606595\pi$
$739$	−35.0048	+	33.3770i	−1.28767	+	1.22779i	−0.959018	+	0.283343i	$0.908556\pi$
$740$	0.518014	+	0.179286i	0.0190426	+	0.00659070i
$741$	−4.86460	+	3.12629i	−0.178705	+	0.114847i
$742$	−15.6760	−	34.8871i	−0.575482	−	1.28074i
$743$	38.7734	+	5.57478i	1.42246	+	0.204519i	0.810207	−	0.586144i	$-0.199355\pi$
$743$	38.7734	+	5.57478i	1.42246	+	0.204519i	0.612252	+	0.790662i	$0.290264\pi$
$744$	−1.11489	−	1.06305i	−0.0408740	−	0.0389733i
$745$	6.27194	+	12.1659i	0.229786	+	0.445723i
$746$	−11.3837	+	28.4351i	−0.416787	+	1.04108i
$747$	−7.09530	+	9.96395i	−0.259603	+	0.364562i
$748$	−26.2772	+	12.0004i	−0.960791	+	0.438778i
$749$	9.91496	+	41.9860i	0.362285	+	1.53414i
$750$	−5.12273	+	7.97112i	−0.187056	+	0.291064i
$751$	−25.1139	+	26.3387i	−0.916418	+	0.961112i	−0.999372	−	0.0354417i	$-0.988716\pi$
$751$	−25.1139	+	26.3387i	−0.916418	+	0.961112i	0.0829535	+	0.996553i	$0.473565\pi$
$752$	2.33401	−	2.96793i	0.0851125	−	0.108229i
$753$	−3.32215	+	1.14981i	−0.121066	+	0.0419013i
$754$	−8.56552	+	16.6148i	−0.311938	+	0.605075i
$755$	2.53757	+	2.92851i	0.0923515	+	0.106579i
$756$	0.850076	+	2.50547i	0.0309170	+	0.0911230i
$757$	41.2660	+	18.8456i	1.49984	+	0.684954i	0.985035	−	0.172354i	$-0.0551372\pi$
$757$	41.2660	+	18.8456i	1.49984	+	0.684954i	0.514805	+	0.857308i	$0.327864\pi$
$758$	−0.212277	+	0.122558i	−0.00771025	+	0.00445152i
$759$	−16.9927	+	11.5572i	−0.616796	+	0.419498i
$760$	0.914559	−	1.58406i	0.0331746	−	0.0574600i
$761$	−1.31020	−	13.7211i	−0.0474948	−	0.497388i	−0.987654	−	0.156652i	$-0.949930\pi$
$761$	−1.31020	−	13.7211i	−0.0474948	−	0.497388i	0.940159	−	0.340736i	$-0.110676\pi$
$762$	−3.56261	+	12.1331i	−0.129060	+	0.439537i
$763$	1.42716	−	5.73008i	0.0516667	−	0.207443i
$764$	5.04815	+	7.85507i	0.182636	+	0.284186i
$765$	7.08339	+	1.36521i	0.256101	+	0.0493594i
$766$	−5.66523	−	4.45519i	−0.204693	−	0.160972i
$767$	−8.13022	+	33.5132i	−0.293565	+	1.21009i
$768$	0.998867	+	0.0475819i	0.0360435	+	0.00171696i
$769$	3.17754	+	22.1003i	0.114585	+	0.796957i	0.963362	+	0.268206i	$0.0864306\pi$
$769$	3.17754	+	22.1003i	0.114585	+	0.796957i	−0.848777	+	0.528752i	$0.822660\pi$
$770$	6.00150	+	10.5429i	0.216279	+	0.379939i
$771$	−1.20887	−	2.64705i	−0.0435364	−	0.0953314i
$772$	−0.486810	+	0.382832i	−0.0175207	+	0.0137784i
$773$	28.9814	−	14.9409i	1.04239	−	0.537389i	0.150014	−	0.988684i	$-0.452068\pi$
$773$	28.9814	−	14.9409i	1.04239	−	0.537389i	0.892375	+	0.451295i	$0.149038\pi$
$774$	3.25919	+	0.790670i	0.117149	+	0.0284201i
$775$	−2.20713	−	5.51313i	−0.0792823	−	0.198038i
$776$	−12.4771	+	14.3993i	−0.447901	+	0.516905i
$777$	1.34271	−	0.184702i	0.0481696	−	0.00662615i
$778$	−12.1932	+	10.5655i	−0.437149	+	0.378792i
$779$	6.22044	−	1.50906i	0.222870	−	0.0540678i
$780$	2.09970	+	2.94862i	0.0751813	+	0.105577i
$781$	−18.4387	−	10.6456i	−0.659790	−	0.380930i
$782$	−11.3671	−	30.2670i	−0.406487	−	1.08235i
$783$			5.52575i			0.197474i
$784$	−5.00684	−	4.89199i	−0.178816	−	0.174714i
$785$	3.72470	+	1.09367i	0.132940	+	0.0390348i
$786$	−4.46575	+	12.9029i	−0.159288	+	0.460233i
$787$	−2.17692	−	45.6993i	−0.0775990	−	1.62900i	−0.617006	−	0.786958i	$-0.711655\pi$
$787$	−2.17692	−	45.6993i	−0.0775990	−	1.62900i	0.539407	−	0.842045i	$-0.318648\pi$
$788$	−3.88093	−	11.2132i	−0.138252	−	0.399454i
$789$	−24.3288	+	9.73978i	−0.866128	+	0.346745i
$790$	−4.22210	−	14.3792i	−0.150216	−	0.511588i
$791$	38.0415	−	24.1212i	1.35260	−	0.857652i
$792$	−4.24144	+	0.609828i	−0.150713	+	0.0216693i
$793$	21.7606	+	15.4956i	0.772741	+	0.550266i
$794$	1.17002	−	12.2530i	0.0415224	−	0.434843i
$795$	−14.3607	−	5.74914i	−0.509320	−	0.203901i
$796$	−0.683229	+	14.3428i	−0.0242164	+	0.508365i
$797$	−1.89916	+	0.557644i	−0.0672718	+	0.0197528i	−0.315195	−	0.949027i	$-0.602070\pi$
$797$	−1.89916	+	0.557644i	−0.0672718	+	0.0197528i	0.247924	+	0.968780i	$0.420252\pi$
$798$	0.242740	−	4.51606i	0.00859290	−	0.159867i
$799$	−19.2370	−	16.6689i	−0.680555	−	0.589705i
$800$	3.42645	+	1.76646i	0.121143	+	0.0624538i
$801$	18.0084	−	3.47084i	0.636297	−	0.122636i
$802$	−6.02266	−	6.31638i	−0.212668	−	0.223039i
$803$	17.9666	−	1.71560i	0.634026	−	0.0605421i
$804$	10.1215			0.356959
$805$	−12.2354	+	5.88570i	−0.431241	+	0.207444i
$806$	−5.21119			−0.183556
$807$	12.6770	−	1.21051i	0.446253	−	0.0426120i
$808$	−10.4446	−	10.9540i	−0.367440	−	0.385360i
$809$	−31.8436	+	6.13735i	−1.11956	+	0.215778i	−0.715267	−	0.698851i	$-0.753695\pi$
$809$	−31.8436	+	6.13735i	−1.11956	+	0.215778i	−0.404294	+	0.914629i	$0.632483\pi$
$810$	0.951099	+	0.490326i	0.0334182	+	0.0172283i
$811$	−18.6535	−	16.1634i	−0.655013	−	0.567572i	0.262670	−	0.964886i	$-0.415397\pi$
$811$	−18.6535	−	16.1634i	−0.655013	−	0.567572i	−0.917683	+	0.397314i	$0.869943\pi$
$812$	−6.61979	−	13.0352i	−0.232309	−	0.457445i
$813$	−9.96872	+	2.92708i	−0.349618	+	0.102657i
$814$	−0.104449	+	2.19265i	−0.00366093	+	0.0768524i
$815$	−11.8884	−	4.75938i	−0.416431	−	0.166714i
$816$	0.640821	−	6.71098i	0.0224332	−	0.234931i
$817$	−4.66978	−	3.32534i	−0.163375	−	0.116339i
$818$	21.0079	−	3.02047i	0.734522	−	0.105608i
$819$	7.93007	+	4.14965i	0.277099	+	0.145000i
$820$	−1.12887	−	3.84457i	−0.0394218	−	0.134258i
$821$	14.3337	−	5.73835i	0.500250	−	0.200270i	−0.107794	−	0.994173i	$-0.534379\pi$
$821$	14.3337	−	5.73835i	0.500250	−	0.200270i	0.608044	+	0.793903i	$0.291954\pi$
$822$	−1.49356	−	4.31537i	−0.0520940	−	0.150516i
$823$	1.19028	+	24.9871i	0.0414906	+	0.870995i	0.919677	+	0.392676i	$0.128451\pi$
$823$	1.19028	+	24.9871i	0.0414906	+	0.870995i	−0.878186	+	0.478319i	$0.841246\pi$
$824$	0.0484655	−	0.140032i	0.00168838	−	0.00487824i
$825$	−15.8497	−	4.65390i	−0.551817	−	0.162028i
$826$	−17.5378	−	20.4908i	−0.610217	−	0.712967i
$827$			40.1240i			1.39525i	0.716464	+	0.697624i	$0.245760\pi$
$827$			40.1240i			1.39525i	−0.716464	+	0.697624i	$0.754240\pi$
$828$	−0.352958	−	4.78283i	−0.0122661	−	0.166215i
$829$	−0.680722	−	0.393015i	−0.0236425	−	0.0136500i	0.488132	−	0.872770i	$-0.337678\pi$
$829$	−0.680722	−	0.393015i	−0.0236425	−	0.0136500i	−0.511775	+	0.859120i	$0.671012\pi$
$830$	−7.59233	−	10.6619i	−0.263534	−	0.370081i
$831$	−1.47156	+	0.356996i	−0.0510478	+	0.0123841i
$832$	2.55659	−	2.21529i	0.0886337	−	0.0768015i
$833$	−34.5481	+	32.1462i	−1.19702	+	1.11380i
$834$	14.1193	−	16.2945i	0.488910	−	0.564232i
$835$	5.91181	+	14.7670i	0.204587	+	0.511033i
$836$	7.11830	+	1.72688i	0.246192	+	0.0597254i
$837$	−1.36923	+	0.705887i	−0.0473275	+	0.0243990i
$838$	−20.9643	+	16.4865i	−0.724199	+	0.569517i
$839$	14.5650	+	31.8928i	0.502839	+	1.10106i	0.975536	+	0.219838i	$0.0705530\pi$
$839$	14.5650	+	31.8928i	0.502839	+	1.10106i	−0.472698	+	0.881225i	$0.656720\pi$
$840$	−2.83104	−	0.0172661i	−0.0976800	−	0.000595737i
$841$	−0.218299	−	1.51830i	−0.00752754	−	0.0523552i
$842$	−16.3891	−	0.780708i	−0.564805	−	0.0269050i
$843$	−7.72868	+	31.8581i	−0.266190	+	1.09725i
$844$	4.41902	+	3.47515i	0.152109	+	0.119620i
$845$	−1.63527	−	0.315173i	−0.0562550	−	0.0108423i
$846$	−2.04132	−	3.17635i	−0.0701820	−	0.109205i
$847$	−13.5266	+	14.0142i	−0.464780	+	0.481532i
$848$	−4.07274	+	13.8705i	−0.139859	+	0.476314i
$849$	−1.18905	−	12.4523i	−0.0408081	−	0.427361i
$850$	12.9942	−	22.5067i	0.445698	−	0.771972i
$851$	−2.44007	−	0.286146i	−0.0836446	−	0.00980895i
$852$	4.30303	−	2.48436i	0.147419	−	0.0851127i
$853$	35.2969	+	16.1195i	1.20854	+	0.551923i	0.914779	−	0.403955i	$-0.132365\pi$
$853$	35.2969	+	16.1195i	1.20854	+	0.551923i	0.293763	+	0.955878i	$0.405092\pi$
$854$	−19.7854	+	6.71297i	−0.677043	+	0.229713i
$855$	−1.19782	−	1.38236i	−0.0409645	−	0.0472756i
$856$	7.47171	−	14.4931i	0.255378	−	0.495363i
$857$	−14.5163	+	5.02414i	−0.495867	+	0.171621i	−0.563544	−	0.826086i	$-0.690563\pi$
$857$	−14.5163	+	5.02414i	−0.495867	+	0.171621i	0.0676768	+	0.997707i	$0.478441\pi$
$858$	−8.96065	+	11.3944i	−0.305912	+	0.388998i
$859$	14.3074	−	15.0052i	0.488162	−	0.511969i	−0.432870	−	0.901456i	$-0.642499\pi$
$859$	14.3074	−	15.0052i	0.488162	−	0.511969i	0.921032	+	0.389487i	$0.127348\pi$
$860$	−1.94017	+	3.01897i	−0.0661594	+	0.102946i
$861$	−6.79289	−	7.21173i	−0.231501	−	0.245775i
$862$	−23.2535	+	10.6195i	−0.792017	+	0.361702i
$863$	−10.9175	+	15.3315i	−0.371637	+	0.521891i	−0.957467	−	0.288543i	$-0.906829\pi$
$863$	−10.9175	+	15.3315i	−0.371637	+	0.521891i	0.585830	+	0.810434i	$0.300769\pi$
$864$	0.371662	−	0.928368i	0.0126442	−	0.0315837i
$865$	−10.0485	−	19.4913i	−0.341659	−	0.662725i
$866$	10.4559	+	9.96967i	0.355306	+	0.338783i
$867$	−28.1584	−	4.04856i	−0.956308	−	0.137496i
$868$	2.38435	−	3.30550i	0.0809301	−	0.112196i
$869$	50.4860	−	32.4454i	1.71262	−	1.10064i
$870$	−5.58763	−	1.93390i	−0.189438	−	0.0655653i
$871$	24.7804	−	23.6281i	0.839652	−	0.800606i
$872$	−1.81808	+	1.29465i	−0.0615678	+	0.0438423i
$873$	9.52651	+	16.5004i	0.322423	+	0.558454i
$874$	−2.47846	+	7.81425i	−0.0838352	+	0.264321i
$875$	−22.7399	−	10.5530i	−0.768748	−	0.356757i
$876$	−1.74969	+	3.83129i	−0.0591165	+	0.129447i
$877$	−5.25303	−	21.6533i	−0.177382	−	0.731180i	−0.989114	−	0.147150i	$-0.952990\pi$
$877$	−5.25303	−	21.6533i	−0.177382	−	0.731180i	0.811732	−	0.584030i	$-0.198525\pi$
$878$	7.87621	+	40.8657i	0.265809	+	1.37915i
$879$	6.66228	−	0.317363i	0.224713	−	0.0107044i
$880$	0.867761	−	4.50237i	0.0292522	−	0.151775i
$881$	−1.52326	+	10.5945i	−0.0513199	+	0.356938i	0.947939	+	0.318451i	$0.103163\pi$
$881$	−1.52326	+	10.5945i	−0.0513199	+	0.356938i	−0.999259	+	0.0384866i	$0.987746\pi$
$882$	−6.26051	+	3.13146i	−0.210802	+	0.105442i
$883$	−6.86688	−	4.41308i	−0.231089	−	0.148512i	0.419973	−	0.907537i	$-0.362040\pi$
$883$	−6.86688	−	4.41308i	−0.231089	−	0.148512i	−0.651062	+	0.759025i	$0.725676\pi$
$884$	−14.0974	−	17.9263i	−0.474148	−	0.602928i
$885$	−10.8589	−	1.03690i	−0.365017	−	0.0348549i
$886$	−19.2854	−	1.84153i	−0.647904	−	0.0618674i
$887$	−1.25376	−	1.59428i	−0.0420970	−	0.0535307i	0.764549	−	0.644566i	$-0.222962\pi$
$887$	−1.25376	−	1.59428i	−0.0420970	−	0.0535307i	−0.806646	+	0.591035i	$0.798719\pi$
$888$	−0.430955	−	0.276958i	−0.0144619	−	0.00929410i
$889$	−33.0863	−	4.96323i	−1.10968	−	0.166461i
$890$	−2.79287	+	19.4248i	−0.0936173	+	0.651122i
$891$	−0.810953	+	4.20762i	−0.0271679	+	0.140961i
$892$	−25.2340	+	1.20204i	−0.844897	+	0.0402474i
$893$	1.22146	+	6.33752i	0.0408745	+	0.212077i
$894$	−3.01568	−	12.4308i	−0.100859	−	0.415748i
$895$	−2.38931	+	5.23185i	−0.0798657	+	0.174882i
$896$	0.235427	+	2.63526i	0.00786507	+	0.0880377i
$897$	−12.0293	−	10.8857i	−0.401647	−	0.363465i
$898$	−15.5183	−	26.8785i	−0.517853	−	0.896947i
$899$	6.93390	−	4.93761i	0.231259	−	0.164678i
$900$	2.78999	−	2.66025i	0.0929996	−	0.0886750i
$901$	92.0956	+	31.8746i	3.06815	+	1.06190i
$902$	13.4985	−	8.67495i	0.449451	−	0.288844i
$903$	−0.897298	+	8.82763i	−0.0298602	+	0.293765i
$904$	−16.8519	−	2.42293i	−0.560484	−	0.0805855i
$905$	6.69338	+	6.38212i	0.222495	+	0.212149i
$906$	−1.65937	−	3.21874i	−0.0551290	−	0.106935i
$907$	−12.2148	+	30.5111i	−0.405586	+	1.01310i	0.575200	+	0.818013i	$0.304924\pi$
$907$	−12.2148	+	30.5111i	−0.405586	+	1.01310i	−0.980785	+	0.195091i	$0.937500\pi$
$908$	−5.75070	+	8.07573i	−0.190844	+	0.268002i
$909$	−13.7676	+	6.28747i	−0.456644	+	0.208542i
$910$	−6.97148	+	6.56659i	−0.231102	+	0.217680i
$911$	16.0194	−	24.9267i	0.530746	−	0.825857i	−0.467565	−	0.883959i	$-0.654868\pi$
$911$	16.0194	−	24.9267i	0.530746	−	0.825857i	0.998311	+	0.0581019i	$0.0185048\pi$
$912$	−1.17960	+	1.23713i	−0.0390606	+	0.0409656i
$913$	32.4009	−	41.2011i	1.07231	−	1.36356i
$914$	6.58228	−	2.27815i	0.217723	−	0.0753545i
$915$	−3.87205	+	7.51073i	−0.128006	+	0.248297i
$916$	7.36922	+	8.50454i	0.243486	+	0.280998i
$917$	−35.4296	−	7.05287i	−1.16999	−	0.232906i
$918$	−6.13229	−	2.80052i	−0.202396	−	0.0924311i
$919$	−45.4324	+	26.2304i	−1.49868	+	0.865261i	−0.999999	−	0.00152636i	$-0.999514\pi$
$919$	−45.4324	+	26.2304i	−1.49868	+	0.865261i	−0.498678	+	0.866788i	$0.666181\pi$
$920$	4.95992	+	1.31698i	0.163524	+	0.0434195i
$921$	−0.514425	+	0.891010i	−0.0169509	+	0.0293598i
$922$	1.60634	+	16.8224i	0.0529022	+	0.554016i
$923$	4.73547	−	16.1275i	0.155870	−	0.530844i
$924$	−3.12766	−	10.8972i	−0.102892	−	0.358493i
$925$	−1.06767	−	1.66133i	−0.0351048	−	0.0546241i
$926$	10.5414	+	2.03170i	0.346413	+	0.0667657i
$927$	−0.116479	−	0.0915999i	−0.00382567	−	0.00300854i
$928$	−1.30274	+	5.36999i	−0.0427647	+	0.176278i
$929$	−28.9250	−	1.37787i	−0.948999	−	0.0452064i	−0.432629	−	0.901572i	$-0.642414\pi$
$929$	−28.9250	−	1.37787i	−0.948999	−	0.0452064i	−0.516370	+	0.856366i	$0.672717\pi$
$930$	−0.234590	−	1.63161i	−0.00769251	−	0.0535026i
$931$	11.9244	−	0.992034i	0.390808	−	0.0325126i
$932$	5.27987	+	11.5613i	0.172948	+	0.378703i
$933$	18.2302	−	14.3364i	0.596830	−	0.469353i
$934$	10.4464	−	5.38549i	0.341816	−	0.176219i
$935$	−30.0400	−	7.28763i	−0.982414	−	0.238331i
$936$	−1.25728	−	3.14053i	−0.0410954	−	0.102651i
$937$	11.1966	−	12.9216i	0.365777	−	0.422129i	−0.542790	−	0.839868i	$-0.682632\pi$
$937$	11.1966	−	12.9216i	0.365777	−	0.422129i	0.908567	+	0.417740i	$0.137178\pi$
$938$	3.64934	+	26.5293i	0.119155	+	0.866212i
$939$	17.1804	−	14.8869i	0.560662	−	0.485817i
$940$	3.92634	−	0.952521i	0.128063	−	0.0310678i
$941$	11.5250	+	16.1846i	0.375703	+	0.527602i	0.958529	−	0.284996i	$-0.0919922\pi$
$941$	11.5250	+	16.1846i	0.375703	+	0.527602i	−0.582825	+	0.812597i	$0.698053\pi$
$942$	−3.14178	−	1.81391i	−0.102365	−	0.0591003i
$943$	8.64215	+	15.7421i	0.281427	+	0.512633i
$944$			10.1942i			0.331792i
$945$	−0.942258	+	2.66968i	−0.0306516	+	0.0868448i
$946$	−13.7888	−	4.04875i	−0.448312	−	0.131636i
$947$	4.75645	−	13.7429i	0.154564	−	0.446583i	−0.840959	−	0.541098i	$-0.818009\pi$
$947$	4.75645	−	13.7429i	0.154564	−	0.446583i	0.995523	+	0.0945148i	$0.0301300\pi$
$948$	0.666392	+	13.9893i	0.0216434	+	0.454351i
$949$	4.66014	+	13.4646i	0.151275	+	0.437079i
$950$	−6.11760	+	2.44912i	−0.198481	+	0.0794599i
$951$	−7.62912	−	25.9824i	−0.247391	−	0.842537i
$952$	17.8210	−	0.740016i	0.577582	−	0.0239840i
$953$	−26.9967	+	3.88154i	−0.874509	+	0.125735i	−0.564931	−	0.825138i	$-0.691097\pi$
$953$	−26.9967	+	3.88154i	−0.874509	+	0.125735i	−0.309579	+	0.950874i	$0.600188\pi$
$954$	11.7756	+	8.38534i	0.381248	+	0.271485i
$955$	−0.949745	+	9.94618i	−0.0307330	+	0.321851i
$956$	−5.73520	−	2.29603i	−0.185490	−	0.0742588i
$957$	1.12665	−	23.6513i	0.0364195	−	0.764540i
$958$	2.90121	−	0.851872i	0.0937338	−	0.0275227i
$959$	10.7724	−	5.47065i	0.347858	−	0.176656i
$960$	0.808690	+	0.700734i	0.0261004	+	0.0226161i
$961$	−25.4446	−	13.1176i	−0.820795	−	0.423149i
$962$	−1.70164	+	0.327964i	−0.0548630	+	0.0105740i
$963$	−11.2522	−	11.8010i	−0.362598	−	0.380282i
$964$	−16.5391	+	1.57929i	−0.532688	+	0.0508655i
$965$	−0.662693			−0.0213328
$966$	12.4089	−	2.64958i	0.399248	−	0.0852488i
$967$	9.80746			0.315387			0.157693	−	0.987488i	$-0.449594\pi$
$967$	9.80746			0.315387			0.157693	+	0.987488i	$0.449594\pi$
$968$	7.32840	−	0.699777i	0.235544	−	0.0224917i
$969$	7.95231	+	8.34014i	0.255465	+	0.267924i
$970$	−20.0193	+	3.85840i	−0.642780	+	0.123886i
$971$	−15.4428	−	7.96130i	−0.495582	−	0.255490i	0.192269	−	0.981342i	$-0.438415\pi$
$971$	−15.4428	−	7.96130i	−0.495582	−	0.255490i	−0.687851	+	0.725852i	$0.741446\pi$
$972$	−0.755750	−	0.654861i	−0.0242407	−	0.0210047i
$973$	47.7997	+	31.1326i	1.53239	+	0.998064i
$974$	−3.66046	+	1.07481i	−0.117289	+	0.0344391i
$975$	0.620509	−	13.0261i	0.0198722	−	0.417168i
$976$	7.33123	+	2.93498i	0.234667	+	0.0939465i
$977$	4.61706	−	48.3521i	0.147713	−	1.54692i	−0.552821	−	0.833300i	$-0.686449\pi$
$977$	4.61706	−	48.3521i	0.147713	−	1.54692i	0.700534	−	0.713619i	$-0.252945\pi$
$978$	9.74830	+	6.94173i	0.311716	+	0.221972i
$979$	−77.7875	+	11.1842i	−2.48610	+	0.357447i
$980$	−0.975477	−	7.42657i	−0.0311605	−	0.237233i
$981$	0.628807	+	2.14152i	0.0200763	+	0.0683735i
$982$	−14.6110	+	5.84936i	−0.466256	+	0.186661i
$983$	0.547763	+	1.58266i	0.0174709	+	0.0504789i	0.953399	−	0.301712i	$-0.0975580\pi$
$983$	0.547763	+	1.58266i	0.0174709	+	0.0504789i	−0.935928	+	0.352191i	$0.885437\pi$
$984$	0.178174	+	3.74032i	0.00567997	+	0.119237i
$985$	4.15279	−	11.9987i	0.132319	−	0.382310i
$986$	35.7429	+	10.4951i	1.13829	+	0.334231i
$987$	7.58944	−	6.49567i	0.241575	−	0.206760i
$988$			5.78256i			0.183968i
$989$	5.58662	−	15.0825i	0.177644	−	0.479595i
$990$	−3.97093	−	2.29262i	−0.126204	−	0.0728641i
$991$	2.46920	+	3.46751i	0.0784367	+	0.110149i	0.851930	−	0.523655i	$-0.175432\pi$
$991$	2.46920	+	3.46751i	0.0784367	+	0.110149i	−0.773494	+	0.633804i	$0.781493\pi$
$992$	−1.49705	+	0.363181i	−0.0475315	+	0.0115310i
$993$	−4.82217	+	4.17844i	−0.153027	+	0.132599i
$994$	8.06313	+	10.3828i	0.255747	+	0.329323i
$995$	−10.0619	+	11.6120i	−0.318982	+	0.368125i
$996$	4.54620	+	11.3559i	0.144052	+	0.359824i
$997$	1.29079	+	0.313141i	0.0408796	+	0.00991728i	0.256147	−	0.966638i	$-0.417547\pi$
$997$	1.29079	+	0.313141i	0.0408796	+	0.00991728i	−0.215267	+	0.976555i	$0.569062\pi$
$998$	−33.1114	+	17.0701i	−1.04812	+	0.540345i
$999$	−0.402677	+	0.316669i	−0.0127401	+	0.0100190i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.661.14	yes	320
7.5	odd	6	inner	966.2.be.b.523.14	yes	320
23.19	odd	22	inner	966.2.be.b.157.14	yes	320
161.19	even	66	inner	966.2.be.b.19.14	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.19.14	✓	320	161.19	even	66	inner
966.2.be.b.157.14	yes	320	23.19	odd	22	inner
966.2.be.b.523.14	yes	320	7.5	odd	6	inner
966.2.be.b.661.14	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)

\(f(q)\)	\(=\)	\(q+(-0.995472 + 0.0950560i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(0.951099 + 0.490326i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(1.44395 - 2.21698i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\)	\(q+(-0.995472 + 0.0950560i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.981929 - 0.189251i) q^{4} +(0.951099 + 0.490326i) q^{5} +(-0.755750 - 0.654861i) q^{6} +(1.44395 - 2.21698i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-0.993401 - 0.397698i) q^{10} +(0.407321 - 4.26566i) q^{11} +(0.814576 + 0.580057i) q^{12} +(3.34841 - 0.481429i) q^{13} +(-1.22667 + 2.34420i) q^{14} +(0.301468 + 1.02671i) q^{15} +(0.928368 - 0.371662i) q^{16} +(-2.20493 - 6.37073i) q^{17} +(-0.0475819 - 0.998867i) q^{18} +(-0.559082 + 1.61536i) q^{19} +(1.02671 + 0.301468i) q^{20} +(2.60094 - 0.484858i) q^{21} +4.28506i q^{22} +(-4.78437 - 0.331302i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(-2.23611 - 3.14018i) q^{25} +(-3.28749 + 0.797536i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(0.998288 - 2.45019i) q^{28} +(3.61860 - 4.17608i) q^{29} +(-0.397698 - 0.993401i) q^{30} +(1.49705 + 0.363181i) q^{31} +(-0.888835 + 0.458227i) q^{32} +(3.36828 - 2.64885i) q^{33} +(2.80052 + 6.13229i) q^{34} +(2.46038 - 1.40056i) q^{35} +(0.142315 + 0.989821i) q^{36} +(0.511697 + 0.0243751i) q^{37} +(0.403001 - 1.66119i) q^{38} +(2.65910 + 2.09114i) q^{39} +(-1.05071 - 0.202508i) q^{40} +(-2.02446 - 3.15013i) q^{41} +(-2.54308 + 0.729898i) q^{42} +(-0.944853 + 3.21787i) q^{43} +(-0.407321 - 4.26566i) q^{44} +(-0.535025 + 0.926691i) q^{45} +(4.79420 - 0.124982i) q^{46} +(3.26989 - 1.88787i) q^{47} +(0.909632 + 0.415415i) q^{48} +(-2.83002 - 6.40242i) q^{49} +(2.52448 + 2.91341i) q^{50} +(3.08914 - 5.99209i) q^{51} +(3.19679 - 1.10642i) q^{52} +(-8.93614 + 11.3632i) q^{53} +(0.690079 - 0.723734i) q^{54} +(2.47896 - 3.85734i) q^{55} +(-0.760863 + 2.53399i) q^{56} +(-1.55490 + 0.710100i) q^{57} +(-3.20525 + 4.50114i) q^{58} +(-3.78879 + 9.46394i) q^{59} +(0.490326 + 0.951099i) q^{60} +(5.71525 + 5.44948i) q^{61} +(-1.52480 - 0.219233i) q^{62} +(2.14577 + 1.54780i) q^{63} +(0.841254 - 0.540641i) q^{64} +(3.42073 + 1.18393i) q^{65} +(-3.10124 + 2.95703i) q^{66} +(8.24477 - 5.87107i) q^{67} +(-3.37075 - 5.83832i) q^{68} +(-3.06182 - 3.69124i) q^{69} +(-2.31611 + 1.62810i) q^{70} +(2.06408 - 4.51970i) q^{71} +(-0.235759 - 0.971812i) q^{72} +(0.797109 + 4.13579i) q^{73} +(-0.511697 + 0.0243751i) q^{74} +(0.729562 - 3.78533i) q^{75} +(-0.243270 + 1.69198i) q^{76} +(-8.86874 - 7.06241i) q^{77} +(-2.84583 - 1.82891i) q^{78} +(8.65741 + 11.0088i) q^{79} +(1.06521 + 0.101715i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(2.31474 + 2.94343i) q^{82} +(10.2903 + 6.61316i) q^{83} +(2.46218 - 0.968328i) q^{84} +(1.02662 - 7.14033i) q^{85} +(0.634696 - 3.29312i) q^{86} +(5.51949 - 0.262926i) q^{87} +(0.810953 + 4.20762i) q^{88} +(-4.32379 - 17.8229i) q^{89} +(0.444515 - 0.973352i) q^{90} +(3.76762 - 8.11854i) q^{91} +(-4.76061 + 0.580134i) q^{92} +(0.770238 + 1.33409i) q^{93} +(-3.07563 + 2.19014i) q^{94} +(-1.32380 + 1.26224i) q^{95} +(-0.945001 - 0.327068i) q^{96} +(16.0284 - 10.3008i) q^{97} +(3.42580 + 6.10442i) q^{98} +(4.24144 + 0.609828i) 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

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