LMFDB - Embedded newform 966.2.be.b.493.10

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			493.10
Character	$\chi$	$=$	966.493
Dual form			966.2.be.b.145.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.63606 + 0.156225i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.689903 - 2.55422i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.63606 + 0.156225i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.689903 - 2.55422i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.387471 - 1.59718i) q^{10} +(2.48199 - 0.859026i) q^{11} +(0.189251 - 0.981929i) q^{12} +(0.647673 + 2.20577i) q^{13} +(2.63938 + 0.183444i) q^{14} +(-0.888546 - 1.38260i) q^{15} +(0.235759 + 0.971812i) q^{16} +(1.98739 + 0.795632i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(1.53898 - 0.616113i) q^{19} +(1.38260 + 0.888546i) q^{20} +(1.95415 - 1.78362i) q^{21} +2.62644i q^{22} +(4.61339 + 1.31020i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-2.25735 + 0.435068i) q^{25} +(-2.29629 - 0.109386i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.03661 + 2.43422i) q^{28} +(1.10088 + 7.65680i) q^{29} +(1.59718 - 0.387471i) q^{30} +(5.68677 - 0.270894i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(1.90085 + 1.81245i) q^{33} +(-1.40188 + 1.61786i) q^{34} +(1.52776 + 4.07108i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.22603 - 0.873055i) q^{37} +(0.0788776 + 1.65584i) q^{38} +(-1.66379 + 1.58642i) q^{39} +(-1.29188 + 1.01595i) q^{40} +(7.20395 + 3.28993i) q^{41} +(1.04638 + 2.43004i) q^{42} +(-3.37500 + 5.25160i) q^{43} +(-2.48199 - 0.859026i) q^{44} +(0.821753 - 1.42332i) q^{45} +(-2.74703 + 3.93113i) q^{46} +(9.53805 - 5.50680i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(-6.04807 + 3.52433i) q^{49} +(0.327166 - 2.27549i) q^{50} +(0.203490 + 2.13104i) q^{51} +(0.854412 - 2.13422i) q^{52} +(4.68474 + 4.91322i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-3.92649 + 1.79317i) q^{55} +(-1.96130 - 1.77576i) q^{56} +(1.25282 + 1.08558i) q^{57} +(-7.59574 - 1.46396i) q^{58} +(-6.85261 - 1.66243i) q^{59} +(-0.156225 + 1.63606i) q^{60} +(-2.19991 - 1.13413i) q^{61} +(-1.60397 + 5.46261i) q^{62} +(2.48079 + 0.919614i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.40423 - 3.50760i) q^{65} +(-2.33448 + 1.20351i) q^{66} +(0.173894 + 0.902248i) q^{67} +(-1.07037 - 1.85393i) q^{68} +(0.949423 + 4.70091i) q^{69} +(-4.34686 + 0.112212i) q^{70} +(8.05505 + 9.29603i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(2.94007 - 3.73860i) q^{73} +(1.22603 - 0.873055i) q^{74} +(-1.42108 - 1.80705i) q^{75} +(-1.59057 - 0.467034i) q^{76} +(-3.90647 - 5.74691i) q^{77} +(-0.954994 - 2.09115i) q^{78} +(-1.28111 + 1.34359i) q^{79} +(-0.537538 - 1.55311i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-5.46517 + 5.73171i) q^{82} +(-2.18963 - 4.79461i) q^{83} +(-2.63863 + 0.194047i) q^{84} +(-3.37580 - 0.991223i) q^{85} +(-3.85891 - 4.90700i) q^{86} +(-6.30118 + 4.48705i) q^{87} +(1.62356 - 2.06452i) q^{88} +(0.521028 - 10.9377i) q^{89} +(1.07627 + 1.24208i) q^{90} +(5.18719 - 3.17607i) q^{91} +(-2.81646 - 3.88170i) q^{92} +(2.84661 + 4.93047i) q^{93} +(2.08434 + 10.8146i) q^{94} +(-2.42161 + 1.24843i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(3.10012 - 6.78831i) q^{97} +(-1.35236 - 6.86812i) q^{98} +(-0.739955 + 2.52005i) 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 $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	−0.327068	+	0.945001i	−0.231272	+	0.668216i
$2$	−0.327068	+	0.945001i	−0.231272	+	0.668216i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$4$	−0.786053	−	0.618159i	−0.393027	−	0.309079i
$5$	−1.63606	+	0.156225i	−0.731670	+	0.0698660i	−0.454239	−	0.890880i	$-0.650089\pi$
$5$	−1.63606	+	0.156225i	−0.731670	+	0.0698660i	−0.277430	+	0.960746i	$0.589483\pi$
$6$	−0.989821	+	0.142315i	−0.404093	+	0.0580998i
$7$	−0.689903	−	2.55422i	−0.260759	−	0.965404i
$7$	−0.689903	−	2.55422i	−0.260759	−	0.965404i
$8$	0.841254	−	0.540641i	0.297428	−	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	0.387471	−	1.59718i	0.122529	−	0.505072i
$11$	2.48199	−	0.859026i	0.748349	−	0.259006i	0.0738372	−	0.997270i	$-0.476475\pi$
$11$	2.48199	−	0.859026i	0.748349	−	0.259006i	0.674512	+	0.738264i	$0.264354\pi$
$12$	0.189251	−	0.981929i	0.0546321	−	0.283458i
$13$	0.647673	+	2.20577i	0.179632	+	0.611771i	0.999245	+	0.0388529i	$0.0123704\pi$
$13$	0.647673	+	2.20577i	0.179632	+	0.611771i	−0.819613	+	0.572918i	$0.805811\pi$
$14$	2.63938	+	0.183444i	0.705405	+	0.0490274i
$15$	−0.888546	−	1.38260i	−0.229422	−	0.356987i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	1.98739	+	0.795632i	0.482013	+	0.192969i	0.599927	−	0.800055i	$-0.295196\pi$
$17$	1.98739	+	0.795632i	0.482013	+	0.192969i	−0.117914	+	0.993024i	$0.537621\pi$
$18$	−0.580057	−	0.814576i	−0.136721	−	0.191997i
$19$	1.53898	−	0.616113i	0.353065	−	0.141346i	−0.188349	−	0.982102i	$-0.560313\pi$
$19$	1.53898	−	0.616113i	0.353065	−	0.141346i	0.541414	+	0.840756i	$0.317889\pi$
$20$	1.38260	+	0.888546i	0.309160	+	0.198685i
$21$	1.95415	−	1.78362i	0.426430	−	0.389218i
$22$			2.62644i			0.559960i
$23$	4.61339	+	1.31020i	0.961958	+	0.273196i
$23$	4.61339	+	1.31020i	0.961958	+	0.273196i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	−2.25735	+	0.435068i	−0.451469	+	0.0870136i
$26$	−2.29629	−	0.109386i	−0.450339	−	0.0214523i
$27$	−0.989821	−	0.142315i	−0.190491	−	0.0273885i
$28$	−1.03661	+	2.43422i	−0.195901	+	0.460025i
$29$	1.10088	+	7.65680i	0.204428	+	1.42183i	0.790942	+	0.611892i	$0.209591\pi$
$29$	1.10088	+	7.65680i	0.204428	+	1.42183i	−0.586513	+	0.809940i	$0.699500\pi$
$30$	1.59718	−	0.387471i	0.291603	−	0.0707422i
$31$	5.68677	−	0.270894i	1.02137	−	0.0486541i	0.469794	−	0.882776i	$-0.344328\pi$
$31$	5.68677	−	0.270894i	1.02137	−	0.0486541i	0.551580	+	0.834122i	$0.314025\pi$
$32$	−0.995472	−	0.0950560i	−0.175976	−	0.0168037i
$33$	1.90085	+	1.81245i	0.330895	+	0.315508i
$34$	−1.40188	+	1.61786i	−0.240421	+	0.277461i
$35$	1.52776	+	4.07108i	0.258238	+	0.688139i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−1.22603	−	0.873055i	−0.201559	−	0.143529i	0.474821	−	0.880082i	$-0.342513\pi$
$37$	−1.22603	−	0.873055i	−0.201559	−	0.143529i	−0.676380	+	0.736553i	$0.736452\pi$
$38$	0.0788776	+	1.65584i	0.0127956	+	0.268613i
$39$	−1.66379	+	1.58642i	−0.266419	+	0.254030i
$40$	−1.29188	+	1.01595i	−0.204265	+	0.160635i
$41$	7.20395	+	3.28993i	1.12507	+	0.513801i	0.888987	−	0.457932i	$-0.151410\pi$
$41$	7.20395	+	3.28993i	1.12507	+	0.513801i	0.236081	+	0.971733i	$0.424137\pi$
$42$	1.04638	+	2.43004i	0.161461	+	0.374963i
$43$	−3.37500	+	5.25160i	−0.514682	+	0.800861i	−0.997181	−	0.0750357i	$-0.976093\pi$
$43$	−3.37500	+	5.25160i	−0.514682	+	0.800861i	0.482499	+	0.875897i	$0.339729\pi$
$44$	−2.48199	−	0.859026i	−0.374174	−	0.129503i
$45$	0.821753	−	1.42332i	0.122500	−	0.212176i
$46$	−2.74703	+	3.93113i	−0.405028	+	0.579614i
$47$	9.53805	−	5.50680i	1.39127	−	0.803249i	0.397812	−	0.917467i	$-0.369770\pi$
$47$	9.53805	−	5.50680i	1.39127	−	0.803249i	0.993456	+	0.114218i	$0.0364363\pi$
$48$	−0.755750	+	0.654861i	−0.109083	+	0.0945210i
$49$	−6.04807	+	3.52433i	−0.864010	+	0.503475i
$50$	0.327166	−	2.27549i	0.0462683	−	0.321803i
$51$	0.203490	+	2.13104i	0.0284943	+	0.298406i
$52$	0.854412	−	2.13422i	0.118486	−	0.295963i
$53$	4.68474	+	4.91322i	0.643499	+	0.674882i	0.962003	−	0.273039i	$-0.0880288\pi$
$53$	4.68474	+	4.91322i	0.643499	+	0.674882i	−0.318504	+	0.947922i	$0.603180\pi$
$54$	0.458227	−	0.888835i	0.0623567	−	0.120955i
$55$	−3.92649	+	1.79317i	−0.529448	+	0.241791i
$56$	−1.96130	−	1.77576i	−0.262090	−	0.237295i
$57$	1.25282	+	1.08558i	0.165940	+	0.143788i
$58$	−7.59574	−	1.46396i	−0.997370	−	0.192227i
$59$	−6.85261	−	1.66243i	−0.892134	−	0.216429i	−0.236611	−	0.971604i	$-0.576037\pi$
$59$	−6.85261	−	1.66243i	−0.892134	−	0.216429i	−0.655523	+	0.755175i	$0.727552\pi$
$60$	−0.156225	+	1.63606i	−0.0201686	+	0.211215i
$61$	−2.19991	−	1.13413i	−0.281669	−	0.145211i	0.311603	−	0.950212i	$-0.399134\pi$
$61$	−2.19991	−	1.13413i	−0.281669	−	0.145211i	−0.593273	+	0.805002i	$0.702164\pi$
$62$	−1.60397	+	5.46261i	−0.203704	+	0.693752i
$63$	2.48079	+	0.919614i	0.312550	+	0.115860i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−1.40423	−	3.50760i	−0.174173	−	0.435064i
$66$	−2.33448	+	1.20351i	−0.287354	+	0.148141i
$67$	0.173894	+	0.902248i	0.0212445	+	0.110227i	0.991003	−	0.133839i	$-0.0427306\pi$
$67$	0.173894	+	0.902248i	0.0212445	+	0.110227i	−0.969759	+	0.244066i	$0.921518\pi$
$68$	−1.07037	−	1.85393i	−0.129801	−	0.224822i
$69$	0.949423	+	4.70091i	0.114297	+	0.565924i
$70$	−4.34686	+	0.112212i	−0.519549	+	0.0134119i
$71$	8.05505	+	9.29603i	0.955959	+	1.10324i	0.994579	+	0.103982i	$0.0331583\pi$
$71$	8.05505	+	9.29603i	0.955959	+	1.10324i	−0.0386201	+	0.999254i	$0.512296\pi$
$72$	−0.0475819	+	0.998867i	−0.00560758	+	0.117718i
$73$	2.94007	−	3.73860i	0.344109	−	0.437570i	−0.582937	−	0.812517i	$-0.698097\pi$
$73$	2.94007	−	3.73860i	0.344109	−	0.437570i	0.927046	+	0.374947i	$0.122339\pi$
$74$	1.22603	−	0.873055i	0.142524	−	0.101491i
$75$	−1.42108	−	1.80705i	−0.164092	−	0.208660i
$76$	−1.59057	−	0.467034i	−0.182451	−	0.0535725i
$77$	−3.90647	−	5.74691i	−0.445184	−	0.654921i
$78$	−0.954994	−	2.09115i	−0.108132	−	0.236776i
$79$	−1.28111	+	1.34359i	−0.144136	+	0.151166i	−0.791845	−	0.610723i	$-0.790879\pi$
$79$	−1.28111	+	1.34359i	−0.144136	+	0.151166i	0.647708	+	0.761888i	$0.275728\pi$
$80$	−0.537538	−	1.55311i	−0.0600986	−	0.173643i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−5.46517	+	5.73171i	−0.603527	+	0.632961i
$83$	−2.18963	−	4.79461i	−0.240343	−	0.526277i	0.750569	−	0.660792i	$-0.229780\pi$
$83$	−2.18963	−	4.79461i	−0.240343	−	0.526277i	−0.990912	+	0.134515i	$0.957052\pi$
$84$	−2.63863	+	0.194047i	−0.287898	+	0.0211722i
$85$	−3.37580	−	0.991223i	−0.366157	−	0.107513i
$86$	−3.85891	−	4.90700i	−0.416117	−	0.529136i
$87$	−6.30118	+	4.48705i	−0.675557	+	0.481062i
$88$	1.62356	−	2.06452i	0.173072	−	0.220079i
$89$	0.521028	−	10.9377i	0.0552289	−	1.15940i	−0.785826	−	0.618447i	$-0.787762\pi$
$89$	0.521028	−	10.9377i	0.0552289	−	1.15940i	0.841055	−	0.540949i	$-0.181935\pi$
$90$	1.07627	+	1.24208i	0.113449	+	0.130927i
$91$	5.18719	−	3.17607i	0.543765	−	0.332942i
$92$	−2.81646	−	3.88170i	−0.293636	−	0.404695i
$93$	2.84661	+	4.93047i	0.295180	+	0.511266i
$94$	2.08434	+	10.8146i	0.214983	+	1.11544i
$95$	−2.42161	+	1.24843i	−0.248452	+	0.128086i
$96$	−0.371662	−	0.928368i	−0.0379326	−	0.0947512i
$97$	3.10012	−	6.78831i	0.314769	−	0.689249i	−0.684437	−	0.729072i	$-0.739952\pi$
$97$	3.10012	−	6.78831i	0.314769	−	0.689249i	0.999207	+	0.0398230i	$0.0126794\pi$
$98$	−1.35236	−	6.86812i	−0.136609	−	0.693785i
$99$	−0.739955	+	2.52005i	−0.0743683	+	0.253275i
$100$	2.04334	+	1.05341i	0.204334	+	0.105341i
$101$	−1.30098	+	13.6245i	−0.129452	+	1.35568i	0.664310	+	0.747457i	$0.268725\pi$
$101$	−1.30098	+	13.6245i	−0.129452	+	1.35568i	−0.793762	+	0.608228i	$0.791881\pi$
$102$	−2.08039	−	0.504698i	−0.205990	−	0.0499725i
$103$	8.76565	+	1.68944i	0.863705	+	0.166465i	0.601818	−	0.798633i	$-0.294443\pi$
$103$	8.76565	+	1.68944i	0.863705	+	0.166465i	0.261887	+	0.965099i	$0.415655\pi$
$104$	1.73739	+	1.50545i	0.170365	+	0.147622i
$105$	−2.91846	+	3.22340i	−0.284813	+	0.314572i
$106$	−6.17523	+	2.82013i	−0.599791	+	0.273915i
$107$	6.32189	−	12.2628i	0.611161	−	1.18549i	−0.356752	−	0.934199i	$-0.616116\pi$
$107$	6.32189	−	12.2628i	0.611161	−	1.18549i	0.967913	−	0.251287i	$-0.0808538\pi$
$108$	0.690079	+	0.723734i	0.0664029	+	0.0696413i
$109$	5.09742	−	12.7327i	0.488244	−	1.21958i	−0.455897	−	0.890033i	$-0.650681\pi$
$109$	5.09742	−	12.7327i	0.488244	−	1.21958i	0.944141	−	0.329542i	$-0.106894\pi$
$110$	−0.410317	−	4.29703i	−0.0391221	−	0.409706i
$111$	0.214201	−	1.48980i	0.0203311	−	0.141406i
$112$	2.31957	−	1.27264i	0.219179	−	0.120253i
$113$	−7.71111	+	6.68171i	−0.725400	+	0.628562i	−0.937217	−	0.348747i	$-0.886607\pi$
$113$	−7.71111	+	6.68171i	−0.725400	+	0.628562i	0.211817	+	0.977309i	$0.432062\pi$
$114$	−1.43563	+	0.828861i	−0.134459	+	0.0776299i
$115$	−7.75249	−	1.42285i	−0.722923	−	0.132681i
$116$	3.86777	−	6.69917i	0.359113	−	0.622002i
$117$	−2.17245	−	0.751894i	−0.200843	−	0.0695126i
$118$	3.81226	−	5.93200i	0.350947	−	0.546085i
$119$	0.661109	−	5.62514i	0.0606038	−	0.515656i
$120$	−1.49498	−	0.682737i	−0.136473	−	0.0623251i
$121$	−3.22423	+	2.53556i	−0.293111	+	0.230505i
$122$	1.79127	−	1.70798i	0.162174	−	0.154633i
$123$	0.376831	+	7.91066i	0.0339777	+	0.713280i
$124$	−4.63756	−	3.30239i	−0.416465	−	0.296564i
$125$	11.5099	−	3.37960i	1.02947	−	0.302280i
$126$	−1.68042	+	2.04357i	−0.149704	+	0.182056i
$127$	−9.17125	+	10.5842i	−0.813817	+	0.939195i	−0.999053	−	0.0434989i	$-0.986150\pi$
$127$	−9.17125	+	10.5842i	−0.813817	+	0.939195i	0.185236	+	0.982694i	$0.440695\pi$
$128$	0.723734	+	0.690079i	0.0639697	+	0.0609949i
$129$	−6.21432	−	0.593395i	−0.547140	−	0.0522456i
$130$	3.77396	−	0.179776i	0.330998	−	0.0157674i
$131$	−2.43108	+	0.589774i	−0.212405	+	0.0515288i	−0.340549	−	0.940227i	$-0.610613\pi$
$131$	−2.43108	+	0.589774i	−0.212405	+	0.0515288i	0.128145	+	0.991756i	$0.459098\pi$
$132$	−0.373782	−	2.59971i	−0.0325335	−	0.226276i
$133$	−2.63543	−	3.50582i	−0.228521	−	0.303993i
$134$	−0.909500	−	0.130766i	−0.0785688	−	0.0112965i
$135$	1.64164	+	0.0782011i	0.141290	+	0.00673048i
$136$	2.10205	−	0.405137i	0.180249	−	0.0347402i
$137$	18.4489	+	10.6515i	1.57620	+	0.910018i	0.995383	+	0.0959828i	$0.0305994\pi$
$137$	18.4489	+	10.6515i	1.57620	+	0.910018i	0.580815	+	0.814036i	$0.302734\pi$
$138$	−4.75289	−	0.640313i	−0.404593	−	0.0545070i
$139$			7.59944i			0.644576i	0.946642	+	0.322288i	$0.104452\pi$
$139$			7.59944i			0.644576i	−0.946642	+	0.322288i	$0.895548\pi$
$140$	1.31568	−	4.14449i	0.111195	−	0.350273i
$141$	9.26522	+	5.95440i	0.780272	+	0.501451i
$142$	−11.4193	+	4.57160i	−0.958287	+	0.383640i
$143$	3.50233	+	4.91834i	0.292880	+	0.411292i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	−2.99729	−	12.3550i	−0.248912	−	1.02603i
$146$	2.57138	+	4.00115i	0.212809	+	0.331137i
$147$	−5.90393	−	3.76080i	−0.486948	−	0.310185i
$148$	0.424041	+	1.44415i	0.0348560	+	0.118709i
$149$	−0.146764	+	0.761482i	−0.0120233	+	0.0623830i	−0.987445	−	0.157964i	$-0.949507\pi$
$149$	−0.146764	+	0.761482i	−0.0120233	+	0.0623830i	0.975421	+	0.220347i	$0.0707191\pi$
$150$	2.17245	−	0.751893i	0.177380	−	0.0613918i
$151$	−3.77387	+	15.5561i	−0.307113	+	1.26594i	0.583849	+	0.811862i	$0.301546\pi$
$151$	−3.77387	+	15.5561i	−0.307113	+	1.26594i	−0.890963	+	0.454077i	$0.849969\pi$
$152$	0.961573	−	1.35034i	0.0779938	−	0.109527i
$153$	−1.80090	+	1.15737i	−0.145594	+	0.0935678i
$154$	6.70851	−	1.81199i	0.540587	−	0.146015i
$155$	−9.26160	+	1.33162i	−0.743910	+	0.106958i
$156$	2.28848	−	0.218524i	0.183225	−	0.0174959i
$157$	−6.17809	−	4.85850i	−0.493065	−	0.387751i	0.340437	−	0.940267i	$-0.389425\pi$
$157$	−6.17809	−	4.85850i	−0.493065	−	0.387751i	−0.833502	+	0.552517i	$0.813668\pi$
$158$	−0.850684	−	1.65010i	−0.0676768	−	0.131275i
$159$	−2.22037	+	6.41533i	−0.176087	+	0.508769i
$160$	1.64351			0.129930
$161$	0.163750	−	12.6875i	0.0129053	−	0.999917i
$162$	1.00000			0.0785674
$163$	0.771767	−	2.22987i	0.0604495	−	0.174657i	−0.910732	−	0.412997i	$-0.864482\pi$
$163$	0.771767	−	2.22987i	0.0604495	−	0.174657i	0.971182	+	0.238340i	$0.0766032\pi$
$164$	−3.62898	−	7.03925i	−0.283376	−	0.549673i
$165$	−3.39306	−	2.66833i	−0.264149	−	0.207729i
$166$	5.24707	−	0.501034i	0.407251	−	0.0388878i
$167$	7.12601	−	1.02456i	0.551427	−	0.0792832i	0.139031	−	0.990288i	$-0.455601\pi$
$167$	7.12601	−	1.02456i	0.551427	−	0.0792832i	0.412396	+	0.911005i	$0.364692\pi$
$168$	0.679636	−	2.55697i	0.0524350	−	0.197275i
$169$	6.49035	−	4.17110i	0.499258	−	0.320854i
$170$	2.04082	−	2.86593i	0.156524	−	0.219807i
$171$	−0.390823	+	1.61099i	−0.0298870	+	0.123196i
$172$	5.89925	−	2.04175i	0.449813	−	0.155682i
$173$	1.13253	−	5.87610i	0.0861044	−	0.446752i	−0.913131	−	0.407665i	$-0.866343\pi$
$173$	1.13253	−	5.87610i	0.0861044	−	0.446752i	0.999236	−	0.0390867i	$-0.0124449\pi$
$174$	−2.17935	−	7.42219i	−0.165216	−	0.562675i
$175$	2.66861	+	5.46560i	0.201728	+	0.413161i
$176$	1.41996	+	2.20951i	0.107034	+	0.166548i
$177$	−1.66243	−	6.85261i	−0.124956	−	0.515074i
$178$	10.1657	+	4.06975i	0.761955	+	0.305041i
$179$	−7.22159	−	10.1413i	−0.539767	−	0.757997i	0.451153	−	0.892446i	$-0.351013\pi$
$179$	−7.22159	−	10.1413i	−0.539767	−	0.757997i	−0.990920	+	0.134450i	$0.957073\pi$
$180$	−1.52578	+	0.610829i	−0.113725	+	0.0455285i
$181$	−10.2562	−	6.59126i	−0.762337	−	0.489925i	0.100792	−	0.994908i	$-0.467862\pi$
$181$	−10.2562	−	6.59126i	−0.762337	−	0.489925i	−0.863129	+	0.504983i	$0.831499\pi$
$182$	1.30482	+	5.94069i	0.0967198	+	0.440353i
$183$		−	2.47505i		−	0.182961i
$184$	4.58938	−	1.39197i	0.338334	−	0.102618i
$185$	2.14226	+	1.23684i	0.157502	+	0.0909340i
$186$	−5.59034	+	1.07745i	−0.409903	+	0.0790024i
$187$	5.61616	+	0.267531i	0.410694	+	0.0195638i
$188$	−10.9015	−	1.56740i	−0.795073	−	0.114314i
$189$	0.319378	+	2.62640i	0.0232313	+	0.191043i
$190$	−0.387733	−	2.69674i	−0.0281291	−	0.195642i
$191$	−1.29054	+	0.313082i	−0.0933804	+	0.0226539i	−0.282177	−	0.959362i	$-0.591057\pi$
$191$	−1.29054	+	0.313082i	−0.0933804	+	0.0226539i	0.188796	+	0.982016i	$0.439541\pi$
$192$	0.998867	−	0.0475819i	0.0720870	−	0.00343393i
$193$	10.4406	+	0.996959i	0.751533	+	0.0717627i	0.463790	−	0.885945i	$-0.346489\pi$
$193$	10.4406	+	0.996959i	0.751533	+	0.0717627i	0.287743	+	0.957708i	$0.407095\pi$
$194$	5.40101	+	5.14985i	0.387770	+	0.369738i
$195$	2.47422	−	2.85540i	0.177183	−	0.204480i
$196$	6.93270	+	0.968358i	0.495193	+	0.0691684i
$197$	−2.91818	+	0.856856i	−0.207912	+	0.0610484i	−0.384030	−	0.923321i	$-0.625464\pi$
$197$	−2.91818	+	0.856856i	−0.207912	+	0.0610484i	0.176118	+	0.984369i	$0.443646\pi$
$198$	−2.13944	−	1.52349i	−0.152043	−	0.108270i
$199$	0.0132676	+	0.278521i	0.000940515	+	0.0197438i	0.999289	−	0.0377077i	$-0.0120056\pi$
$199$	0.0132676	+	0.278521i	0.000940515	+	0.0197438i	−0.998348	+	0.0574515i	$0.981703\pi$
$200$	−1.66379	+	1.58642i	−0.117647	+	0.112177i
$201$	−0.722267	+	0.567997i	−0.0509448	+	0.0400634i
$202$	−12.4496	−	5.68555i	−0.875952	−	0.400034i
$203$	18.7976	−	8.09434i	1.31933	−	0.568111i
$204$	1.15737	−	1.80090i	0.0810321	−	0.126088i
$205$	−12.3001	−	4.25710i	−0.859075	−	0.297329i
$206$	−4.46349	+	7.73098i	−0.310986	+	0.538643i
$207$	−3.74329	+	2.99796i	−0.260177	+	0.208373i
$208$	−1.99090	+	1.14945i	−0.138044	+	0.0796997i
$209$	3.29047	−	2.85121i	0.227606	−	0.197222i
$210$	−2.09158	−	3.81222i	−0.144333	−	0.263068i
$211$	3.41719	−	23.7671i	0.235249	−	1.63620i	−0.439567	−	0.898210i	$-0.644868\pi$
$211$	3.41719	−	23.7671i	0.235249	−	1.63620i	0.674816	−	0.737986i	$-0.264223\pi$
$212$	−0.645308	−	6.75797i	−0.0443199	−	0.464139i
$213$	−4.57160	+	11.4193i	−0.313241	+	0.782438i
$214$	9.52063	+	9.98495i	0.650817	+	0.682557i
$215$	4.70128	−	9.11920i	0.320624	−	0.621925i
$216$	−0.909632	+	0.415415i	−0.0618926	+	0.0282654i
$217$	−4.61525	−	14.3384i	−0.313303	−	0.973352i
$218$	10.3652	+	8.98154i	0.702023	+	0.608306i
$219$	4.67022	+	0.900111i	0.315584	+	0.0608239i
$220$	4.19490	+	1.01767i	0.282820	+	0.0686114i
$221$	−0.467801	+	4.89904i	−0.0314677	+	0.329545i
$222$	1.33780	+	0.689686i	0.0897875	+	0.0462887i
$223$	−7.07293	+	24.0882i	−0.473638	+	1.61306i	0.282924	+	0.959142i	$0.408696\pi$
$223$	−7.07293	+	24.0882i	−0.473638	+	1.61306i	−0.756562	+	0.653922i	$0.773123\pi$
$224$	0.443986	+	2.60823i	0.0296650	+	0.174270i
$225$	0.954994	−	2.09114i	0.0636662	−	0.139410i
$226$	−3.79217	−	9.47237i	−0.252251	−	0.630093i
$227$	−6.88819	+	3.55111i	−0.457185	+	0.235695i	−0.671406	−	0.741090i	$-0.734309\pi$
$227$	−6.88819	+	3.55111i	−0.457185	+	0.235695i	0.214220	+	0.976785i	$0.431279\pi$
$228$	−0.313726	−	1.62776i	−0.0207770	−	0.107801i
$229$	3.08338	+	5.34057i	0.203755	+	0.352915i	0.949735	−	0.313054i	$-0.101352\pi$
$229$	3.08338	+	5.34057i	0.203755	+	0.352915i	−0.745980	+	0.665968i	$0.768019\pi$
$230$	3.88018	−	6.86074i	0.255852	−	0.452384i
$231$	3.31800	−	6.10560i	0.218309	−	0.401719i
$232$	5.06570	+	5.84613i	0.332579	+	0.383817i
$233$	0.840804	−	17.6506i	0.0550829	−	1.15633i	−0.786989	−	0.616967i	$-0.788361\pi$
$233$	0.840804	−	17.6506i	0.0550829	−	1.15633i	0.842072	−	0.539365i	$-0.181336\pi$
$234$	1.42108	−	1.80705i	0.0928989	−	0.118131i
$235$	−14.7446	+	10.4995i	−0.961829	+	0.684915i
$236$	4.35888	+	5.54276i	0.283739	+	0.360803i
$237$	−1.78127	−	0.523028i	−0.115706	−	0.0339743i
$238$	5.09954	+	2.46455i	0.330554	+	0.159753i
$239$	4.51169	+	9.87923i	0.291837	+	0.639034i	0.997587	−	0.0694270i	$-0.0221171\pi$
$239$	4.51169	+	9.87923i	0.291837	+	0.639034i	−0.705750	+	0.708461i	$0.749390\pi$
$240$	1.13415	−	1.18946i	0.0732090	−	0.0767794i
$241$	−8.49662	−	24.5494i	−0.547316	−	1.58136i	−0.791198	−	0.611560i	$-0.790542\pi$
$241$	−8.49662	−	24.5494i	−0.547316	−	1.58136i	0.243883	−	0.969805i	$-0.421579\pi$
$242$	−1.34156	−	3.87620i	−0.0862390	−	0.249171i
$243$	0.690079	−	0.723734i	0.0442686	−	0.0464276i
$244$	1.02817	+	2.25138i	0.0658219	+	0.144130i
$245$	9.34443	−	6.71088i	0.596994	−	0.428743i
$246$	−7.59883	−	2.23122i	−0.484484	−	0.142257i
$247$	2.35576	+	2.99559i	0.149893	+	0.190605i
$248$	4.63756	−	3.30239i	0.294485	−	0.209702i
$249$	3.25828	−	4.14323i	0.206485	−	0.262567i
$250$	−0.570781	+	11.9822i	−0.0360994	+	0.757819i
$251$	6.98921	+	8.06598i	0.441155	+	0.509120i	0.932165	−	0.362034i	$-0.117918\pi$
$251$	6.98921	+	8.06598i	0.441155	+	0.509120i	−0.491010	+	0.871154i	$0.663372\pi$
$252$	−1.38156	−	2.25639i	−0.0870304	−	0.142139i
$253$	12.5759	−	0.711109i	0.790640	−	0.0447070i
$254$	−7.00245	−	12.1286i	−0.439373	−	0.761016i
$255$	−0.665845	−	3.45473i	−0.0416968	−	0.216344i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−3.51473	−	8.77938i	−0.219243	−	0.547643i	0.777446	−	0.628950i	$-0.216515\pi$
$257$	−3.51473	−	8.77938i	−0.219243	−	0.547643i	−0.996689	+	0.0813069i	$0.974091\pi$
$258$	2.59326	−	5.67846i	0.161450	−	0.353525i
$259$	−1.38413	+	3.73388i	−0.0860056	+	0.232012i
$260$	−1.06445	+	3.62520i	−0.0660146	+	0.224825i
$261$	−6.87562	−	3.54463i	−0.425590	−	0.219407i
$262$	0.237792	−	2.49027i	0.0146908	−	0.153850i
$263$	18.6356	+	4.52095i	1.14912	+	0.278774i	0.764702	−	0.644384i	$-0.222886\pi$
$263$	18.6356	+	4.52095i	1.14912	+	0.278774i	0.384420	+	0.923158i	$0.374401\pi$
$264$	2.57898	+	0.497058i	0.158725	+	0.0305918i
$265$	−8.43211	−	7.30646i	−0.517980	−	0.448832i
$266$	4.17497	−	1.34384i	0.255984	−	0.0823963i
$267$	9.96059	−	4.54885i	0.609578	−	0.278385i
$268$	0.421043	−	0.816709i	0.0257193	−	0.0498884i
$269$	−11.3469	−	11.9002i	−0.691830	−	0.725571i	0.280326	−	0.959905i	$-0.409558\pi$
$269$	−11.3469	−	11.9002i	−0.691830	−	0.725571i	−0.972156	+	0.234334i	$0.924709\pi$
$270$	−0.610829	+	1.52578i	−0.0371739	+	0.0928559i
$271$	−2.77812	−	29.0938i	−0.168759	−	1.76732i	−0.542756	−	0.839890i	$-0.682619\pi$
$271$	−2.77812	−	29.0938i	−0.168759	−	1.76732i	0.373998	−	0.927430i	$-0.377987\pi$
$272$	−0.304659	+	2.11895i	−0.0184726	+	0.128480i
$273$	5.19991	+	3.15520i	0.314713	+	0.190961i
$274$	−16.0997	+	13.9505i	−0.972620	+	0.842780i
$275$	−5.22898	+	3.01895i	−0.315319	+	0.182050i
$276$	2.15962	−	4.28206i	0.129994	−	0.257750i
$277$	6.80571	−	11.7878i	0.408915	−	0.708262i	−0.585853	−	0.810417i	$-0.699240\pi$
$277$	6.80571	−	11.7878i	0.408915	−	0.708262i	0.994768	+	0.102155i	$0.0325738\pi$
$278$	−7.18148	−	2.48553i	−0.430717	−	0.149072i
$279$	−3.07799	+	4.78944i	−0.184274	+	0.286736i
$280$	3.48623	+	2.59884i	0.208342	+	0.155311i
$281$	−18.7025	−	8.54115i	−1.11570	−	0.509522i	−0.229724	−	0.973256i	$-0.573782\pi$
$281$	−18.7025	−	8.54115i	−1.11570	−	0.509522i	−0.885975	+	0.463734i	$0.846509\pi$
$282$	−8.65727	+	6.80815i	−0.515533	+	0.405419i
$283$	−1.24099	+	1.18328i	−0.0737694	+	0.0703389i	−0.726067	−	0.687624i	$-0.758654\pi$
$283$	−1.24099	+	1.18328i	−0.0737694	+	0.0703389i	0.652298	+	0.757963i	$0.273805\pi$
$284$	−0.585277	−	12.2865i	−0.0347298	−	0.729068i
$285$	−2.21929	−	1.58035i	−0.131459	−	0.0936118i
$286$	−5.79333	+	1.70108i	−0.342567	+	0.100587i
$287$	3.43318	−	20.6702i	0.202654	−	1.22012i
$288$	0.654861	−	0.755750i	0.0385880	−	0.0445330i
$289$	−8.98678	−	8.56888i	−0.528634	−	0.504052i
$290$	12.6558	+	1.20848i	0.743175	+	0.0709646i
$291$	7.45425	−	0.355090i	0.436976	−	0.0208157i
$292$	−4.62210	+	1.12131i	−0.270488	+	0.0656197i
$293$	0.641228	+	4.45984i	0.0374609	+	0.260547i	0.999942	−	0.0108036i	$-0.00343896\pi$
$293$	0.641228	+	4.45984i	0.0374609	+	0.260547i	−0.962481	+	0.271350i	$0.912530\pi$
$294$	5.48494	−	4.34919i	0.319888	−	0.253650i
$295$	11.4710	+	1.64928i	0.667869	+	0.0960250i
$296$	−1.50342	−	0.0716165i	−0.0873842	−	0.00416262i
$297$	−2.57898	+	0.497058i	−0.149648	+	0.0288422i
$298$	−0.671599	−	0.387748i	−0.0389047	−	0.0224616i
$299$	0.0979605	+	11.0247i	0.00566520	+	0.637573i
$300$			2.29889i			0.132727i
$301$	15.7421	+	4.99738i	0.907362	+	0.288044i
$302$	−13.4662	−	8.65422i	−0.774895	−	0.497994i
$303$	−12.7060	+	5.08673i	−0.729943	+	0.292225i
$304$	0.961573	+	1.35034i	0.0551500	+	0.0774473i
$305$	3.77637	+	1.51183i	0.216234	+	0.0865671i
$306$	−0.504698	−	2.08039i	−0.0288517	−	0.118928i
$307$	−1.76101	−	2.74018i	−0.100506	−	0.156391i	0.787358	−	0.616496i	$-0.211448\pi$
$307$	−1.76101	−	2.74018i	−0.100506	−	0.156391i	−0.887865	+	0.460105i	$0.847812\pi$
$308$	−0.481805	+	6.93219i	−0.0274534	+	0.394998i
$309$	2.51502	+	8.56537i	0.143074	+	0.487267i
$310$	1.77079	−	9.18775i	0.100574	−	0.521829i
$311$	10.9111	−	3.77636i	0.618710	−	0.214138i	0.000308397	−	1.00000i	$-0.499902\pi$
$311$	10.9111	−	3.77636i	0.618710	−	0.214138i	0.618401	+	0.785862i	$0.287781\pi$
$312$	−0.541984	+	2.23409i	−0.0306838	+	0.126480i
$313$	7.81590	−	10.9759i	0.441781	−	0.620394i	−0.532311	−	0.846549i	$-0.678676\pi$
$313$	7.81590	−	10.9759i	0.441781	−	0.620394i	0.974091	+	0.226155i	$0.0726156\pi$
$314$	6.61195	−	4.24924i	0.373134	−	0.239798i
$315$	−4.20239	−	1.11698i	−0.236778	−	0.0629349i
$316$	1.83757	−	0.264203i	0.103372	−	0.0148626i
$317$	−16.1982	+	1.54674i	−0.909780	+	0.0868734i	−0.539441	−	0.842023i	$-0.681364\pi$
$317$	−16.1982	+	1.54674i	−0.909780	+	0.0868734i	−0.370339	+	0.928897i	$0.620758\pi$
$318$	−5.33628	−	4.19650i	−0.299244	−	0.235328i
$319$	9.30976	+	18.0584i	0.521247	+	1.01108i
$320$	−0.537538	+	1.55311i	−0.0300493	+	0.0868217i
$321$	13.7964			0.770042
$322$	11.9362	+	4.30443i	0.665176	+	0.239876i
$323$	3.54875			0.197458
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	−2.42168	−	4.69741i	−0.134331	−	0.260565i
$326$	1.85481	+	1.45864i	0.102729	+	0.0807867i
$327$	13.6531	−	1.30371i	0.755017	−	0.0720954i
$328$	7.83902	−	1.12708i	0.432837	−	0.0622326i
$329$	−20.6459	−	20.5631i	−1.13824	−	1.13368i
$330$	3.63133	−	2.33372i	0.199898	−	0.128467i
$331$	−16.4572	+	23.1109i	−0.904568	+	1.27029i	0.0577409	+	0.998332i	$0.481610\pi$
$331$	−16.4572	+	23.1109i	−0.904568	+	1.27029i	−0.962309	+	0.271957i	$0.912329\pi$
$332$	−1.24267	+	5.12236i	−0.0682004	+	0.281126i
$333$	1.42234	−	0.492277i	0.0779437	−	0.0269766i
$334$	−1.36247	+	7.06918i	−0.0745512	+	0.386809i
$335$	−0.425455	−	1.44897i	−0.0232451	−	0.0791656i
$336$	2.19405	+	1.47856i	0.119695	+	0.0806620i
$337$	9.84494	+	15.3190i	0.536288	+	0.834480i	0.998636	−	0.0522184i	$-0.0166292\pi$
$337$	9.84494	+	15.3190i	0.536288	+	0.834480i	−0.462348	+	0.886699i	$0.652993\pi$
$338$	1.81890	+	7.49762i	0.0989353	+	0.407817i
$339$	−9.47237	−	3.79217i	−0.514469	−	0.205962i
$340$	2.04082	+	2.86593i	0.110679	+	0.155427i
$341$	13.8818	−	5.55744i	0.751743	−	0.300952i
$342$	−1.39456	−	0.896232i	−0.0754094	−	0.0484627i
$343$	13.1745	+	13.0166i	0.711355	+	0.702832i
$344$			6.24259i			0.336578i
$345$	−2.28772	−	7.54267i	−0.123167	−	0.406084i
$346$	5.18251	+	2.99212i	0.278614	+	0.160858i
$347$	−24.7684	+	4.77372i	−1.32964	+	0.256267i	−0.804095	−	0.594500i	$-0.797350\pi$
$347$	−24.7684	+	4.77372i	−1.32964	+	0.256267i	−0.525543	+	0.850767i	$0.676138\pi$
$348$	7.72677	+	0.368071i	0.414198	+	0.0197307i
$349$	−15.5452	−	2.23506i	−0.832116	−	0.119640i	−0.286926	−	0.957953i	$-0.592633\pi$
$349$	−15.5452	−	2.23506i	−0.832116	−	0.119640i	−0.545190	+	0.838313i	$0.683542\pi$
$350$	−6.03782	+	0.734215i	−0.322735	+	0.0392454i
$351$	−0.327166	−	2.27549i	−0.0174628	−	0.121457i
$352$	−2.55241	+	0.619208i	−0.136044	+	0.0330039i
$353$	−22.6785	+	1.08031i	−1.20706	+	0.0574992i	−0.641443	−	0.767171i	$-0.721664\pi$
$353$	−22.6785	+	1.08031i	−1.20706	+	0.0574992i	−0.565614	+	0.824670i	$0.691361\pi$
$354$	7.01945	+	0.670276i	0.373080	+	0.0356248i
$355$	−14.6309	−	13.9505i	−0.776525	−	0.740415i
$356$	−7.17081	+	8.27555i	−0.380052	+	0.438603i
$357$	5.30276	−	1.98997i	0.280652	−	0.105321i
$358$	11.9455	−	3.50751i	0.631339	−	0.185378i
$359$	11.6172	+	8.27258i	0.613133	+	0.436610i	0.843976	−	0.536381i	$-0.180209\pi$
$359$	11.6172	+	8.27258i	0.613133	+	0.436610i	−0.230843	+	0.972991i	$0.574148\pi$
$360$	−0.0782011	−	1.64164i	−0.00412156	−	0.0865222i
$361$	−11.7621	+	11.2151i	−0.619058	+	0.590270i
$362$	9.58322	−	7.53633i	0.503683	−	0.396101i
$363$	−3.73112	−	1.70395i	−0.195833	−	0.0894340i
$364$	−6.04072	−	0.709951i	−0.316620	−	0.0372115i
$365$	−4.22608	+	6.57590i	−0.221203	+	0.344199i
$366$	2.33892	+	0.809508i	0.122257	+	0.0423137i
$367$	16.9456	−	29.3507i	0.884554	−	1.53209i	0.0383291	−	0.999265i	$-0.487796\pi$
$367$	16.9456	−	29.3507i	0.884554	−	1.53209i	0.846224	−	0.532827i	$-0.178870\pi$
$368$	−0.185622	+	4.79224i	−0.00967622	+	0.249813i
$369$	−6.85860	+	3.95981i	−0.357044	+	0.206140i
$370$	−1.86948	+	1.61991i	−0.0971895	+	0.0842152i
$371$	9.31741	−	15.3555i	0.483736	−	0.797218i
$372$	0.810230	−	5.63527i	0.0420085	−	0.292175i
$373$	1.42305	+	14.9029i	0.0736827	+	0.771640i	0.954505	+	0.298194i	$0.0963842\pi$
$373$	1.42305	+	14.9029i	0.0736827	+	0.771640i	−0.880823	+	0.473447i	$0.843010\pi$
$374$	−2.08968	+	5.21977i	−0.108055	+	0.269908i
$375$	8.27803	+	8.68174i	0.427475	+	0.448323i
$376$	5.04672	−	9.78927i	0.260265	−	0.504843i
$377$	−16.1761	+	7.38739i	−0.833113	+	0.380470i
$378$	−2.58641	−	0.557200i	−0.133031	−	0.0286593i
$379$	−1.42040	−	1.23078i	−0.0729609	−	0.0632209i	0.617617	−	0.786479i	$-0.288098\pi$
$379$	−1.42040	−	1.23078i	−0.0729609	−	0.0632209i	−0.690578	+	0.723258i	$0.742644\pi$
$380$	2.67524	+	0.515610i	0.137237	+	0.0264502i
$381$	−13.6101	−	3.30178i	−0.697267	−	0.169155i
$382$	0.126232	−	1.32196i	0.00645860	−	0.0676376i
$383$	−19.8359	−	10.2261i	−1.01357	−	0.522531i	−0.130337	−	0.991470i	$-0.541606\pi$
$383$	−19.8359	−	10.2261i	−1.01357	−	0.522531i	−0.883231	+	0.468939i	$0.844636\pi$
$384$	−0.281733	+	0.959493i	−0.0143771	+	0.0489639i
$385$	7.28905	+	8.79201i	0.371484	+	0.448082i
$386$	−4.35692	+	9.54033i	−0.221762	+	0.485590i
$387$	−2.32013	−	5.79542i	−0.117939	−	0.294598i
$388$	−6.63311	+	3.41961i	−0.336745	+	0.173604i
$389$	1.38655	+	7.19409i	0.0703007	+	0.364755i	0.999994	−	0.00358083i	$-0.00113982\pi$
$389$	1.38655	+	7.19409i	0.0703007	+	0.364755i	−0.929693	+	0.368336i	$0.879928\pi$
$390$	1.88912	+	3.27205i	0.0956593	+	0.165687i
$391$	8.12618	+	6.27445i	0.410958	+	0.317312i
$392$	−3.18256	+	6.23469i	−0.160744	+	0.314899i
$393$	−1.63820	−	1.89058i	−0.0826362	−	0.0953673i
$394$	0.144715	−	3.03793i	0.00729062	−	0.153049i
$395$	1.88608	−	2.39834i	0.0948988	−	0.120674i
$396$	2.13944	−	1.52349i	0.107511	−	0.0765581i
$397$	−17.9966	−	22.8845i	−0.903224	−	1.14854i	−0.988354	−	0.152172i	$-0.951373\pi$
$397$	−17.9966	−	22.8845i	−0.903224	−	1.14854i	0.0851304	−	0.996370i	$-0.472869\pi$
$398$	−0.267542	−	0.0785575i	−0.0134107	−	0.00393773i
$399$	1.90847	−	3.94892i	0.0955432	−	0.197694i
$400$	−0.954994	−	2.09114i	−0.0477497	−	0.104557i
$401$	−23.9475	+	25.1154i	−1.19588	+	1.25420i	−0.236645	+	0.971596i	$0.576048\pi$
$401$	−23.9475	+	25.1154i	−1.19588	+	1.25420i	−0.959236	+	0.282608i	$0.908800\pi$
$402$	−0.300527	−	0.868316i	−0.0149889	−	0.0433077i
$403$	4.28070	+	12.3683i	0.213237	+	0.616107i
$404$	9.44472	−	9.90534i	0.469893	−	0.492809i
$405$	0.682737	+	1.49498i	0.0339255	+	0.0742864i
$406$	1.50106	+	20.4112i	0.0744961	+	1.01299i
$407$	−3.79298	−	1.11372i	−0.188011	−	0.0552051i
$408$	1.32332	+	1.68273i	0.0655139	+	0.0833077i
$409$	−1.26187	+	0.898572i	−0.0623953	+	0.0444315i	−0.610829	−	0.791763i	$-0.709164\pi$
$409$	−1.26187	+	0.898572i	−0.0623953	+	0.0444315i	0.548434	+	0.836194i	$0.315224\pi$
$410$	8.04593	−	10.2312i	0.397360	−	0.505284i
$411$	−1.01364	+	21.2789i	−0.0499990	+	1.04961i
$412$	−5.84592	−	6.74655i	−0.288008	−	0.332379i
$413$	0.481442	+	18.6500i	0.0236902	+	0.917706i
$414$	−1.60877	−	4.51795i	−0.0790667	−	0.222045i
$415$	4.33140	+	7.50221i	0.212620	+	0.368269i
$416$	−0.435068	−	2.25735i	−0.0213310	−	0.110676i
$417$	−6.75466	+	3.48227i	−0.330777	+	0.170527i
$418$	1.61819	+	4.04203i	0.0791481	+	0.197702i
$419$	−13.7099	+	30.0205i	−0.669773	+	1.46660i	0.203353	+	0.979105i	$0.434816\pi$
$419$	−13.7099	+	30.0205i	−0.669773	+	1.46660i	−0.873127	+	0.487493i	$0.837911\pi$
$420$	4.28664	−	0.729693i	0.209167	−	0.0356053i
$421$	−5.78854	+	19.7140i	−0.282116	+	0.960799i	0.689510	+	0.724276i	$0.257826\pi$
$421$	−5.78854	+	19.7140i	−0.282116	+	0.960799i	−0.971626	+	0.236523i	$0.923992\pi$
$422$	21.3423	+	11.0027i	1.03893	+	0.535604i
$423$	−1.04691	+	10.9637i	−0.0509024	+	0.533074i
$424$	6.59734	+	1.60050i	0.320395	+	0.0777271i
$425$	−4.83239	−	0.931366i	−0.234405	−	0.0451779i
$426$	−9.29603	−	8.05505i	−0.450394	−	0.390269i
$427$	−1.37910	+	6.40149i	−0.0667391	+	0.309790i
$428$	−12.5497	+	5.73125i	−0.606612	+	0.277030i
$429$	−2.76673	+	5.36671i	−0.133579	+	0.259107i
$430$	7.08002	+	7.42531i	0.341429	+	0.358080i
$431$	−5.91833	+	14.7833i	−0.285076	+	0.712085i	0.714842	+	0.699286i	$0.246498\pi$
$431$	−5.91833	+	14.7833i	−0.285076	+	0.712085i	−0.999918	+	0.0127991i	$0.995926\pi$
$432$	−0.0950560	−	0.995472i	−0.00457339	−	0.0478947i
$433$	2.77354	−	19.2904i	0.133288	−	0.927039i	−0.807939	−	0.589266i	$-0.799417\pi$
$433$	2.77354	−	19.2904i	0.133288	−	0.927039i	0.941228	−	0.337773i	$-0.109674\pi$
$434$	15.0593	+	0.328209i	0.722868	+	0.0157545i
$435$	9.60814	−	8.32550i	0.460675	−	0.399177i
$436$	−11.8777	+	6.85759i	−0.568839	+	0.328419i
$437$	7.90713	−	0.825999i	0.378249	−	0.0395129i
$438$	−2.37809	+	4.11897i	−0.113629	+	0.196812i
$439$	−1.27642	−	0.441773i	−0.0609201	−	0.0210847i	0.296438	−	0.955052i	$-0.404201\pi$
$439$	−1.27642	−	0.441773i	−0.0609201	−	0.0210847i	−0.357358	+	0.933967i	$0.616322\pi$
$440$	−2.33372	+	3.63133i	−0.111256	+	0.173117i
$441$	0.637390	−	6.97092i	0.0303519	−	0.331949i
$442$	−4.47659	−	2.04439i	−0.212930	−	0.0972418i
$443$	2.04981	−	1.61199i	0.0973896	−	0.0765880i	−0.568277	−	0.822837i	$-0.692390\pi$
$443$	2.04981	−	1.61199i	0.0973896	−	0.0765880i	0.665667	+	0.746249i	$0.268147\pi$
$444$	−1.08931	+	1.03865i	−0.0516962	+	0.0492922i
$445$	0.856312	+	17.9762i	0.0405931	+	0.852154i
$446$	−20.4500	−	14.5624i	−0.968337	−	0.689549i
$447$	−0.744083	+	0.218483i	−0.0351939	+	0.0103339i
$448$	−2.61000	−	0.433503i	−0.123311	−	0.0204811i
$449$	5.14254	−	5.93481i	0.242691	−	0.280081i	−0.621316	−	0.783560i	$-0.713402\pi$
$449$	5.14254	−	5.93481i	0.242691	−	0.280081i	0.864007	+	0.503479i	$0.167947\pi$
$450$	1.66379	+	1.58642i	0.0784316	+	0.0747844i
$451$	20.7063	+	1.97721i	0.975021	+	0.0931032i
$452$	10.1917	−	0.485490i	0.479377	−	0.0228355i
$453$	−15.5561	+	3.77387i	−0.730890	+	0.177312i
$454$	−1.10289	−	7.67080i	−0.0517614	−	0.360009i
$455$	−7.99039	+	6.00661i	−0.374595	+	0.281594i
$456$	1.64085	+	0.235918i	0.0768398	+	0.0110479i
$457$	3.12830	+	0.149019i	0.146336	+	0.00697083i	0.120622	−	0.992699i	$-0.461511\pi$
$457$	3.12830	+	0.149019i	0.146336	+	0.00697083i	0.0257138	+	0.999669i	$0.491814\pi$
$458$	−6.05531	+	1.16707i	−0.282946	+	0.0545334i
$459$	−1.85393	−	1.07037i	−0.0865342	−	0.0499605i
$460$	5.21432	+	5.91070i	0.243119	+	0.275588i
$461$			32.9491i			1.53459i	0.641293	+	0.767296i	$0.278398\pi$
$461$			32.9491i			1.53459i	−0.641293	+	0.767296i	$0.721602\pi$
$462$	4.68458	+	5.13246i	0.217946	+	0.238784i
$463$	11.1461	+	7.16318i	0.518004	+	0.332901i	0.773382	−	0.633940i	$-0.218563\pi$
$463$	11.1461	+	7.16318i	0.518004	+	0.332901i	−0.255378	+	0.966841i	$0.582200\pi$
$464$	−7.18142	+	2.87501i	−0.333389	+	0.133469i
$465$	−5.42750	−	7.62186i	−0.251694	−	0.353455i
$466$	16.4049	+	6.56752i	0.759941	+	0.304234i
$467$	0.138718	+	0.571803i	0.00641910	+	0.0264599i	0.974931	−	0.222507i	$-0.0714241\pi$
$467$	0.138718	+	0.571803i	0.00641910	+	0.0264599i	−0.968512	+	0.248967i	$0.919909\pi$
$468$	1.24287	+	1.93395i	0.0574519	+	0.0893969i
$469$	2.18457	−	1.06663i	0.100874	−	0.0492523i
$470$	−5.09961	−	17.3677i	−0.235228	−	0.801111i
$471$	1.48745	−	7.71760i	0.0685379	−	0.355608i
$472$	−6.66356	+	2.30628i	−0.306715	+	0.106155i
$473$	−3.86546	+	15.9336i	−0.177734	+	0.732629i
$474$	1.07686	−	1.51224i	0.0494618	−	0.0694593i
$475$	−3.20595	+	2.06034i	−0.147099	+	0.0945348i
$476$	−3.99690	+	4.01299i	−0.183198	+	0.183935i
$477$	−6.71961	+	0.966134i	−0.307670	+	0.0442362i
$478$	−10.8115	+	1.03237i	−0.494507	+	0.0472197i
$479$	12.2262	+	9.61475i	0.558627	+	0.439309i	0.857131	−	0.515099i	$-0.172245\pi$
$479$	12.2262	+	9.61475i	0.558627	+	0.439309i	−0.298503	+	0.954409i	$0.596487\pi$
$480$	0.753098	+	1.46081i	0.0343740	+	0.0666764i
$481$	1.13169	−	3.26980i	0.0516006	−	0.149090i
$482$	25.9782			1.18327
$483$	11.3522	−	5.66821i	0.516541	−	0.257913i
$484$	4.10179			0.186445
$485$	−4.01148	+	11.5904i	−0.182152	+	0.526294i
$486$	0.458227	+	0.888835i	0.0207856	+	0.0403184i
$487$	−10.8269	−	8.51436i	−0.490613	−	0.385822i	0.341980	−	0.939707i	$-0.388902\pi$
$487$	−10.8269	−	8.51436i	−0.490613	−	0.385822i	−0.832593	+	0.553885i	$0.813145\pi$
$488$	−2.46384	+	0.235268i	−0.111533	+	0.0106501i
$489$	2.33564	−	0.335814i	0.105621	−	0.0151860i
$490$	3.28553	+	11.0254i	0.148425	+	0.498077i
$491$	−15.9720	+	10.2646i	−0.720808	+	0.463235i	−0.848918	−	0.528525i	$-0.822745\pi$
$491$	−15.9720	+	10.2646i	−0.720808	+	0.463235i	0.128110	+	0.991760i	$0.459109\pi$
$492$	4.59384	−	6.45114i	0.207106	−	0.290840i
$493$	−3.90411	+	16.0929i	−0.175832	+	0.724790i
$494$	−3.60132	+	1.24643i	−0.162031	+	0.0560796i
$495$	0.816917	−	4.23857i	0.0367177	−	0.190509i
$496$	1.60397	+	5.46261i	0.0720202	+	0.245278i
$497$	18.1869	−	26.9877i	0.815793	−	1.21057i
$498$	2.84968	+	4.43419i	0.127697	+	0.198701i
$499$	−1.02584	−	4.22856i	−0.0459228	−	0.189296i	0.944230	−	0.329286i	$-0.106808\pi$
$499$	−1.02584	−	4.22856i	−0.0459228	−	0.189296i	−0.990153	+	0.139990i	$0.955293\pi$
$500$	−11.1365	−	4.45838i	−0.498039	−	0.199385i
$501$	4.17599	+	5.86436i	0.186570	+	0.262000i
$502$	−9.90830	+	3.96669i	−0.442229	+	0.177042i
$503$	0.786279	+	0.505311i	0.0350584	+	0.0225307i	0.558053	−	0.829806i	$-0.311549\pi$
$503$	0.786279	+	0.505311i	0.0350584	+	0.0225307i	−0.522994	+	0.852336i	$0.675185\pi$
$504$	2.58415	−	0.567587i	0.115107	−	0.0252823i
$505$		−	22.4937i		−	1.00096i
$506$	−3.44117	+	12.1168i	−0.152979	+	0.538658i
$507$	6.68147	+	3.85755i	0.296735	+	0.171320i
$508$	13.7518	−	2.65044i	0.610138	−	0.117594i
$509$	11.1648	+	0.531844i	0.494870	+	0.0235736i	0.293534	−	0.955949i	$-0.405169\pi$
$509$	11.1648	+	0.531844i	0.494870	+	0.0235736i	0.201336	+	0.979522i	$0.435472\pi$
$510$	3.48250	+	0.500708i	0.154208	+	0.0221717i
$511$	−11.5776	−	4.93031i	−0.512162	−	0.218104i
$512$	−0.142315	−	0.989821i	−0.00628949	−	0.0437443i
$513$	−1.61099	+	0.390823i	−0.0711271	+	0.0172552i
$514$	9.44608	−	0.449972i	0.416649	−	0.0198474i
$515$	−14.6051	−	1.39462i	−0.643577	−	0.0614542i
$516$	4.51797	+	4.30788i	0.198893	+	0.189644i
$517$	18.9429	−	21.8613i	0.833107	−	0.961457i
$518$	−3.07582	−	2.52924i	−0.135144	−	0.111128i
$519$	5.74184	−	1.68596i	0.252039	−	0.0740053i
$520$	−3.07766	−	2.19159i	−0.134964	−	0.0961078i
$521$	0.337379	+	7.08246i	0.0147808	+	0.310288i	0.994136	+	0.108140i	$0.0344893\pi$
$521$	0.337379	+	7.08246i	0.0147808	+	0.310288i	−0.979355	+	0.202148i	$0.935208\pi$
$522$	5.59847	−	5.33813i	0.245038	−	0.233644i
$523$	10.7209	−	8.43104i	0.468794	−	0.368664i	−0.355639	−	0.934624i	$-0.615737\pi$
$523$	10.7209	−	8.43104i	0.468794	−	0.368664i	0.824433	+	0.565960i	$0.191494\pi$
$524$	2.27554	+	1.03920i	0.0994072	+	0.0453978i
$525$	−3.63519	+	4.87644i	−0.158653	+	0.212825i
$526$	−10.3674	+	16.1320i	−0.452041	+	0.703390i
$527$	11.5174	+	3.98620i	0.501705	+	0.173642i
$528$	−1.31322	+	2.27457i	−0.0571507	+	0.0989878i
$529$	19.5667	+	12.0890i	0.850728	+	0.525607i
$530$	9.66248	−	5.57864i	0.419711	−	0.242321i
$531$	5.32908	−	4.61767i	0.231262	−	0.200390i
$532$	−0.0955662	+	4.38488i	−0.00414332	+	0.190109i
$533$	−2.59104	+	18.0211i	−0.112230	+	0.780579i
$534$	1.04088	+	10.9005i	0.0450431	+	0.471713i
$535$	−8.42727	+	21.0503i	−0.364343	+	0.910084i
$536$	0.634081	+	0.665005i	0.0273881	+	0.0287238i
$537$	5.70483	−	11.0658i	0.246181	−	0.477525i
$538$	14.9569	−	6.83061i	0.644839	−	0.294488i
$539$	−11.9838	+	13.9428i	−0.516177	+	0.600559i
$540$	−1.24208	−	1.07627i	−0.0534505	−	0.0463152i
$541$	−25.3111	−	4.87832i	−1.08821	−	0.209735i	−0.386565	−	0.922262i	$-0.626338\pi$
$541$	−25.3111	−	4.87832i	−1.08821	−	0.209735i	−0.701645	+	0.712527i	$0.747551\pi$
$542$	28.4023	+	6.89031i	1.21998	+	0.295964i
$543$	1.15888	−	12.1364i	0.0497324	−	0.520821i
$544$	−1.90276	−	0.980943i	−0.0815803	−	0.0420576i
$545$	−6.35053	+	21.6279i	−0.272027	+	0.926438i
$546$	−4.68239	+	3.88195i	−0.200388	+	0.166132i
$547$	18.0168	−	39.4514i	0.770344	−	1.68682i	0.0444502	−	0.999012i	$-0.485846\pi$
$547$	18.0168	−	39.4514i	0.770344	−	1.68682i	0.725894	−	0.687807i	$-0.241426\pi$
$548$	−7.91752	−	19.7770i	−0.338220	−	0.844832i
$549$	2.19991	−	1.13413i	0.0938898	−	0.0484036i
$550$	−1.14268	−	5.92879i	−0.0487241	−	0.252805i
$551$	6.41168	+	11.1054i	0.273147	+	0.473104i
$552$	3.34021	+	3.44136i	0.142169	+	0.146474i
$553$	4.31567	+	2.34529i	0.183521	+	0.0997319i
$554$	8.91358	+	10.2868i	0.378702	+	0.437045i
$555$	−0.117702	+	2.47087i	−0.00499618	+	0.104883i
$556$	4.69766	−	5.97357i	0.199225	−	0.253336i
$557$	−38.0941	+	27.1267i	−1.61410	+	1.14939i	−0.728379	+	0.685174i	$0.759726\pi$
$557$	−38.0941	+	27.1267i	−1.61410	+	1.14939i	−0.885720	+	0.464220i	$0.846335\pi$
$558$	−3.51932	−	4.47517i	−0.148985	−	0.189449i
$559$	−13.7697	−	4.04315i	−0.582397	−	0.171007i
$560$	−3.59614	+	2.44449i	−0.151965	+	0.103298i
$561$	2.33568	+	5.11443i	0.0986126	+	0.215931i
$562$	14.1884	−	14.8804i	0.598501	−	0.627690i
$563$	5.53846	+	16.0023i	0.233418	+	0.674418i	0.999498	+	0.0316725i	$0.0100834\pi$
$563$	5.53846	+	16.0023i	0.233418	+	0.674418i	−0.766080	+	0.642745i	$0.777795\pi$
$564$	−3.60219	−	10.4079i	−0.151680	−	0.438250i
$565$	11.5720	−	12.1364i	0.486838	−	0.510581i
$566$	−0.712316	−	1.55975i	−0.0299409	−	0.0655613i
$567$	−2.18809	+	1.48736i	−0.0918913	+	0.0624633i
$568$	11.8022	+	3.46543i	0.495207	+	0.145406i
$569$	−3.75731	−	4.77780i	−0.157514	−	0.200296i	0.700890	−	0.713269i	$-0.252786\pi$
$569$	−3.75731	−	4.77780i	−0.157514	−	0.200296i	−0.858404	+	0.512973i	$0.828544\pi$
$570$	2.21929	−	1.58035i	0.0929559	−	0.0661936i
$571$	−23.5068	+	29.8913i	−0.983730	+	1.25091i	−0.0157523	+	0.999876i	$0.505014\pi$
$571$	−23.5068	+	29.8913i	−0.983730	+	1.25091i	−0.967977	+	0.251038i	$0.919228\pi$
$572$	0.287295	−	6.03107i	0.0120124	−	0.252172i
$573$	−0.869640	−	1.00362i	−0.0363297	−	0.0419267i
$574$	18.4105	+	10.0049i	0.768438	+	0.417597i
$575$	−10.9840	−	0.950443i	−0.458066	−	0.0396362i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	−5.45286	−	28.2921i	−0.227006	−	1.17782i	−0.899232	−	0.437472i	$-0.855874\pi$
$577$	−5.45286	−	28.2921i	−0.227006	−	1.17782i	0.672227	−	0.740345i	$-0.265338\pi$
$578$	11.0369	−	5.68991i	0.459074	−	0.236669i
$579$	3.89804	+	9.73684i	0.161997	+	0.404649i
$580$	−5.28133	+	11.5645i	−0.219295	+	0.480190i
$581$	−10.7359	+	8.90060i	−0.445398	+	0.369259i
$582$	−2.10249	+	7.16041i	−0.0871508	+	0.296808i
$583$	15.8481	+	8.17025i	0.656360	+	0.338377i
$584$	0.452103	−	4.73464i	0.0187081	−	0.195921i
$585$	3.67174	+	0.890754i	0.151808	+	0.0368281i
$586$	−4.42428	−	0.852709i	−0.182765	−	0.0352251i
$587$	33.1766	+	28.7477i	1.36934	+	1.18654i	0.961928	+	0.273301i	$0.0881156\pi$
$587$	33.1766	+	28.7477i	1.36934	+	1.18654i	0.407416	+	0.913243i	$0.366430\pi$
$588$	2.31603	+	6.60575i	0.0955117	+	0.272417i
$589$	8.58490	−	3.92059i	0.353735	−	0.161545i
$590$	−5.31038	+	10.3007i	−0.218625	+	0.424073i
$591$	−2.09879	−	2.20115i	−0.0863328	−	0.0905432i
$592$	0.559397	−	1.39731i	0.0229911	−	0.0574289i
$593$	−4.16137	−	43.5798i	−0.170887	−	1.78961i	−0.521666	−	0.853150i	$-0.674689\pi$
$593$	−4.16137	−	43.5798i	−0.170887	−	1.78961i	0.350779	−	0.936458i	$-0.385917\pi$
$594$	0.373782	−	2.59971i	0.0153365	−	0.106667i
$595$	−0.202828	+	9.30637i	−0.00831512	+	0.381524i
$596$	0.586081	−	0.507842i	0.0240068	−	0.0208020i
$597$	−0.241480	+	0.139418i	−0.00988311	+	0.00570602i
$598$	−10.4504	−	3.51324i	−0.427347	−	0.143667i
$599$	0.0785092	−	0.135982i	0.00320780	−	0.00555607i	−0.864417	−	0.502775i	$-0.832312\pi$
$599$	0.0785092	−	0.135982i	0.00320780	−	0.00555607i	0.867625	+	0.497219i	$0.165646\pi$
$600$	−2.17245	−	0.751893i	−0.0886900	−	0.0306959i
$601$	3.14892	−	4.89981i	0.128447	−	0.199868i	−0.771073	−	0.636746i	$-0.780280\pi$
$601$	3.14892	−	4.89981i	0.128447	−	0.199868i	0.899520	+	0.436879i	$0.143916\pi$
$602$	−9.87128	+	13.2419i	−0.402324	+	0.539698i
$603$	−0.835818	−	0.381705i	−0.0340371	−	0.0155442i
$604$	12.5826	−	9.89508i	0.511980	−	0.402625i
$605$	4.87892	−	4.65204i	0.198356	−	0.189132i
$606$	−0.651227	−	13.6709i	−0.0264543	−	0.555344i
$607$	38.4044	+	27.3476i	1.55878	+	1.11001i	0.948028	+	0.318187i	$0.103074\pi$
$607$	38.4044	+	27.3476i	1.55878	+	1.11001i	0.610757	+	0.791818i	$0.290865\pi$
$608$	−1.59057	+	0.467034i	−0.0645062	+	0.0189407i
$609$	15.8081	+	12.9990i	0.640577	+	0.526744i
$610$	−2.66381	+	3.07420i	−0.107855	+	0.124471i
$611$	18.3243	+	17.4721i	0.741320	+	0.706847i
$612$	2.13104	+	0.203490i	0.0861423	+	0.00822560i
$613$	36.3888	−	1.73341i	1.46973	−	0.0700119i	0.702637	−	0.711548i	$-0.252006\pi$
$613$	36.3888	−	1.73341i	1.46973	−	0.0700119i	0.767093	+	0.641536i	$0.221703\pi$
$614$	3.16545	−	0.767929i	0.127747	−	0.0309911i
$615$	−1.85236	−	12.8835i	−0.0746945	−	0.519512i
$616$	−6.39335	−	2.72260i	−0.257595	−	0.109697i
$617$	−32.4922	−	4.67168i	−1.30809	−	0.188075i	−0.547224	−	0.836986i	$-0.684315\pi$
$617$	−32.4922	−	4.67168i	−1.30809	−	0.188075i	−0.760864	+	0.648912i	$0.775224\pi$
$618$	−8.91686	−	0.424762i	−0.358689	−	0.0170864i
$619$	−14.2027	+	2.73735i	−0.570855	+	0.110023i	−0.466507	−	0.884518i	$-0.654488\pi$
$619$	−14.2027	+	2.73735i	−0.570855	+	0.110023i	−0.104348	+	0.994541i	$0.533276\pi$
$620$	8.10326	+	4.67842i	0.325435	+	0.187890i
$621$	−4.37997	−	1.95342i	−0.175762	−	0.0783881i
$622$			11.5461i			0.462956i
$623$	−28.2968	+	6.21515i	−1.13369	+	0.249005i
$624$	−1.93395	−	1.24287i	−0.0774200	−	0.0497548i
$625$	−7.63179	+	3.05531i	−0.305272	+	0.122212i
$626$	7.81590	+	10.9759i	0.312386	+	0.438685i
$627$	4.04203	+	1.61819i	0.161423	+	0.0646241i
$628$	1.85298	+	7.63808i	0.0739419	+	0.304793i
$629$	−1.74198	−	2.71057i	−0.0694573	−	0.108078i
$630$	2.43002	−	3.60594i	0.0968143	−	0.143664i
$631$	−11.2912	−	38.4545i	−0.449497	−	1.53085i	−0.803327	−	0.595538i	$-0.796939\pi$
$631$	−11.2912	−	38.4545i	−0.449497	−	1.53085i	0.353830	−	0.935310i	$-0.384879\pi$
$632$	−0.351339	+	1.82292i	−0.0139755	+	0.0725120i
$633$	22.6909	−	7.85340i	0.901882	−	0.312145i
$634$	3.83623	−	15.8132i	0.152356	−	0.628021i
$635$	13.3512	−	18.7492i	0.529828	−	0.744039i
$636$	5.71102	−	3.67025i	0.226457	−	0.145535i
$637$	−11.6910	−	11.0580i	−0.463215	−	0.438135i
$638$	−20.1101	+	2.89140i	−0.796168	+	0.114472i
$639$	−12.2447	+	1.16923i	−0.484393	+	0.0462540i
$640$	−1.29188	−	1.01595i	−0.0510661	−	0.0401589i
$641$	−16.2665	−	31.5527i	−0.642490	−	1.24626i	−0.955074	−	0.296367i	$-0.904225\pi$
$641$	−16.2665	−	31.5527i	−0.642490	−	1.24626i	0.312584	−	0.949890i	$-0.398805\pi$
$642$	−4.51237	+	13.0376i	−0.178089	+	0.514555i
$643$	11.9868			0.472712			0.236356	−	0.971667i	$-0.424047\pi$
$643$	11.9868			0.472712			0.236356	+	0.971667i	$0.424047\pi$
$644$	−7.97162	+	9.87184i	−0.314126	+	0.389005i
$645$	10.2597			0.403976
$646$	−1.16068	+	3.35357i	−0.0456664	+	0.131944i
$647$	−9.80593	−	19.0208i	−0.385511	−	0.747787i	0.613614	−	0.789606i	$-0.289715\pi$
$647$	−9.80593	−	19.0208i	−0.385511	−	0.747787i	−0.999125	+	0.0418192i	$0.986685\pi$
$648$	−0.786053	−	0.618159i	−0.0308791	−	0.0242836i
$649$	−18.4362	+	1.76044i	−0.723684	+	0.0691035i
$650$	5.23111	−	0.752120i	0.205181	−	0.0295006i
$651$	10.6296	−	10.6724i	0.416608	−	0.418285i
$652$	−1.98507	+	1.27573i	−0.0777412	+	0.0499613i
$653$	−9.02963	+	12.6803i	−0.353357	+	0.496220i	−0.952549	−	0.304385i	$-0.901549\pi$
$653$	−9.02963	+	12.6803i	−0.353357	+	0.496220i	0.599192	+	0.800605i	$0.295489\pi$
$654$	−3.23348	+	13.3286i	−0.126439	+	0.521189i
$655$	3.88527	−	1.34470i	0.151810	−	0.0525420i
$656$	−1.49880	+	7.77651i	−0.0585183	+	0.303622i
$657$	1.33997	+	4.56351i	0.0522771	+	0.178040i
$658$	26.1848	−	12.7849i	1.02079	−	0.498405i
$659$	−2.32729	−	3.62133i	−0.0906584	−	0.141067i	0.792962	−	0.609271i	$-0.208538\pi$
$659$	−2.32729	−	3.62133i	−0.0906584	−	0.141067i	−0.883621	+	0.468204i	$0.844901\pi$
$660$	1.01767	+	4.19490i	0.0396128	+	0.163286i
$661$	−43.4331	−	17.3880i	−1.68935	−	0.676314i	−0.690458	−	0.723373i	$-0.742591\pi$
$661$	−43.4331	−	17.3880i	−1.68935	−	0.676314i	−0.998892	+	0.0470589i	$0.985015\pi$
$662$	−16.4572	−	23.1109i	−0.639626	−	0.898230i
$663$	−4.56880	+	1.82907i	−0.177437	+	0.0710352i
$664$	−4.43419	−	2.84968i	−0.172080	−	0.110589i
$665$	4.85943	+	5.32403i	0.188441	+	0.206457i
$666$			1.50512i			0.0583222i
$667$	−4.95316	+	36.7662i	−0.191787	+	1.42359i
$668$	−6.23476	−	3.59964i	−0.241230	−	0.139274i
$669$	−24.6514	+	4.75117i	−0.953079	+	0.183691i
$670$	1.50843	+	0.0718553i	0.0582757	+	0.00277601i
$671$	−6.43440	−	0.925127i	−0.248397	−	0.0357141i
$672$	−2.11484	+	1.58979i	−0.0815819	+	0.0613275i
$673$	2.16872	+	15.0838i	0.0835982	+	0.581438i	0.987964	+	0.154681i	$0.0494350\pi$
$673$	2.16872	+	15.0838i	0.0835982	+	0.581438i	−0.904366	+	0.426757i	$0.859656\pi$
$674$	−17.6965	+	4.29311i	−0.681642	+	0.165365i
$675$	2.29629	−	0.109386i	0.0883841	−	0.00421025i
$676$	−7.68016	−	0.733367i	−0.295391	−	0.0282064i
$677$	−12.2031	−	11.6356i	−0.469002	−	0.447193i	0.418349	−	0.908286i	$-0.362609\pi$
$677$	−12.2031	−	11.6356i	−0.469002	−	0.447193i	−0.887352	+	0.461093i	$0.847457\pi$
$678$	6.68171	−	7.71111i	0.256610	−	0.296143i
$679$	−19.4776	−	3.23510i	−0.747482	−	0.124152i
$680$	−3.37580	+	0.991223i	−0.129456	+	0.0380117i
$681$	−6.31271	−	4.49526i	−0.241903	−	0.172259i
$682$	0.711489	+	14.9360i	0.0272443	+	0.571929i
$683$	−8.15500	+	7.77577i	−0.312042	+	0.297532i	−0.829874	−	0.557951i	$-0.811588\pi$
$683$	−8.15500	+	7.77577i	−0.312042	+	0.297532i	0.517832	+	0.855482i	$0.326739\pi$
$684$	1.30306	−	1.02474i	0.0498236	−	0.0391817i
$685$	−31.8476	−	14.5443i	−1.21684	−	0.555710i
$686$	−16.6097	+	8.19258i	−0.634161	+	0.312794i
$687$	−3.33400	+	5.18780i	−0.127200	+	0.197927i
$688$	−5.89925	−	2.04175i	−0.224907	−	0.0778410i
$689$	−7.80325	+	13.5156i	−0.297280	+	0.514904i
$690$	7.87607	+	0.305071i	0.299837	+	0.0116138i
$691$	−29.3170	+	16.9262i	−1.11527	+	0.643901i	−0.940189	−	0.340653i	$-0.889352\pi$
$691$	−29.3170	+	16.9262i	−1.11527	+	0.643901i	−0.175081	+	0.984554i	$0.556019\pi$
$692$	−4.52259	+	3.91885i	−0.171923	+	0.148972i
$693$	6.94727	+	0.151412i	0.263905	+	0.00575167i
$694$	3.58979	−	24.9675i	0.136266	−	0.947754i
$695$	−1.18722	−	12.4332i	−0.0450340	−	0.471617i
$696$	−2.87501	+	7.18142i	−0.108977	+	0.272211i
$697$	11.6995	+	12.2701i	0.443150	+	0.464762i
$698$	7.19648	−	13.9592i	0.272391	−	0.528364i
$699$	16.0738	−	7.34066i	0.607967	−	0.277649i
$700$	1.28094	−	5.94588i	0.0484151	−	0.224733i
$701$	17.7645	+	15.3930i	0.670955	+	0.581386i	0.922282	−	0.386517i	$-0.126322\pi$
$701$	17.7645	+	15.3930i	0.670955	+	0.581386i	−0.251328	+	0.967902i	$0.580867\pi$
$702$	2.25735	+	0.435068i	0.0851981	+	0.0164206i
$703$	−2.42474	−	0.588235i	−0.0914507	−	0.0221857i
$704$	0.249659	−	2.61455i	0.00940939	−	0.0985396i
$705$	−16.0887	−	8.29431i	−0.605936	−	0.312382i
$706$	6.39653	−	21.7846i	0.240736	−	0.819873i
$707$	35.6974	−	6.07658i	1.34254	−	0.228533i
$708$	−2.92925	+	6.41416i	−0.110088	+	0.241059i
$709$	7.56426	+	18.8946i	0.284082	+	0.709602i	0.999936	+	0.0113517i	$0.00361343\pi$
$709$	7.56426	+	18.8946i	0.284082	+	0.709602i	−0.715854	+	0.698250i	$0.753962\pi$
$710$	17.9685	−	9.26341i	0.674346	−	0.347650i
$711$	−0.351339	−	1.82292i	−0.0131763	−	0.0683649i
$712$	−5.47506	−	9.48309i	−0.205187	−	0.355394i
$713$	26.5902	+	6.20108i	0.995812	+	0.232232i
$714$	0.146161	+	5.66197i	0.00546995	+	0.211894i
$715$	−6.49840	−	7.49956i	−0.243027	−	0.280468i
$716$	−0.592385	+	12.4357i	−0.0221385	+	0.464744i
$717$	−6.71363	+	8.53707i	−0.250725	+	0.318823i
$718$	−11.6172	+	8.27258i	−0.433550	+	0.308730i
$719$	16.3777	+	20.8259i	0.610785	+	0.776676i	0.988820	−	0.149115i	$-0.0476426\pi$
$719$	16.3777	+	20.8259i	0.610785	+	0.776676i	−0.378035	+	0.925791i	$0.623400\pi$
$720$	1.57693	+	0.463029i	0.0587688	+	0.0172561i
$721$	−1.73225	−	23.5549i	−0.0645124	−	0.877232i
$722$	−6.75131	−	14.7833i	−0.251258	−	0.550178i
$723$	17.9270	−	18.8013i	0.666712	−	0.699227i
$724$	3.98747	+	11.5210i	0.148193	+	0.428176i
$725$	−5.81630	−	16.8051i	−0.216012	−	0.624125i
$726$	2.83056	−	2.96861i	0.105052	−	0.110175i
$727$	−6.68103	−	14.6294i	−0.247786	−	0.542575i	0.744343	−	0.667798i	$-0.232763\pi$
$727$	−6.68103	−	14.6294i	−0.247786	−	0.542575i	−0.992129	+	0.125222i	$0.960036\pi$
$728$	2.64663	−	5.47628i	0.0980906	−	0.202965i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	−4.83202	−	6.14441i	−0.178841	−	0.227415i
$731$	−10.8858	+	7.75173i	−0.402625	+	0.286708i
$732$	−1.52997	+	1.94552i	−0.0565494	+	0.0719084i
$733$	−0.542237	+	11.3830i	−0.0200280	+	0.420439i	0.966482	+	0.256736i	$0.0826471\pi$
$733$	−0.542237	+	11.3830i	−0.0200280	+	0.420439i	−0.986510	+	0.163703i	$0.947656\pi$
$734$	22.1940	+	25.6133i	0.819197	+	0.945403i
$735$	10.2467	+	5.23056i	0.377957	+	0.192932i
$736$	−4.46796	−	1.74280i	−0.164691	−	0.0642405i
$737$	1.20666	+	2.08999i	0.0444478	+	0.0769858i
$738$	−1.49880	−	7.77651i	−0.0551716	−	0.286257i
$739$	29.5579	−	15.2381i	1.08730	−	0.560544i	0.181134	−	0.983458i	$-0.442023\pi$
$739$	29.5579	−	15.2381i	1.08730	−	0.560544i	0.906170	+	0.422914i	$0.138993\pi$
$740$	−0.919371	−	2.29648i	−0.0337968	−	0.0844202i
$741$	−1.58311	+	3.46654i	−0.0581571	+	0.127346i
$742$	11.4635	+	13.8273i	0.420840	+	0.507615i
$743$	3.44303	−	11.7259i	0.126313	−	0.430181i	−0.871917	−	0.489653i	$-0.837123\pi$
$743$	3.44303	−	11.7259i	0.126313	−	0.430181i	0.998230	+	0.0594719i	$0.0189417\pi$
$744$	5.06034	+	2.60879i	0.185521	+	0.0956427i
$745$	0.121152	−	1.26876i	0.00443867	−	0.0464838i
$746$	−14.5486	−	3.52946i	−0.532664	−	0.129223i
$747$	5.17568	+	0.997531i	0.189368	+	0.0364977i
$748$	−4.24922	−	3.68197i	−0.155367	−	0.134626i
$749$	−35.6833	−	7.68738i	−1.30384	−	0.280891i
$750$	−10.9117	+	4.98322i	−0.398440	+	0.181961i
$751$	13.2936	−	25.7859i	0.485089	−	0.940942i	−0.511568	−	0.859243i	$-0.670935\pi$
$751$	13.2936	−	25.7859i	0.485089	−	0.940942i	0.996657	−	0.0816989i	$-0.0260346\pi$
$752$	7.60025	+	7.97091i	0.277153	+	0.290669i
$753$	−3.96669	+	9.90830i	−0.144554	+	0.361079i
$754$	−1.69040	−	17.7026i	−0.0615606	−	0.644692i
$755$	3.74404	−	26.0404i	0.136260	−	0.947706i
$756$	1.37249	−	2.26192i	0.0499169	−	0.0822652i
$757$	19.4810	−	16.8804i	0.708051	−	0.613529i	−0.224540	−	0.974465i	$-0.572088\pi$
$757$	19.4810	−	16.8804i	0.708051	−	0.613529i	0.932591	+	0.360935i	$0.117543\pi$
$758$	1.62765	−	0.939727i	0.0591191	−	0.0341324i
$759$	6.39467	+	10.8521i	0.232112	+	0.393905i
$760$	−1.36224	+	2.35946i	−0.0494135	+	0.0855867i
$761$	−29.8215	−	10.3213i	−1.08103	−	0.374148i	−0.272230	−	0.962232i	$-0.587761\pi$
$761$	−29.8215	−	10.3213i	−1.08103	−	0.374148i	−0.808800	+	0.588084i	$0.799882\pi$
$762$	7.57162	−	11.7817i	0.274291	−	0.426805i
$763$	−36.0389	−	4.23556i	−1.30470	−	0.153338i
$764$	1.20797	+	0.551662i	0.0437028	+	0.0199584i
$765$	2.76558	−	2.17488i	0.0999898	−	0.0786328i
$766$	16.1514	−	15.4003i	0.583573	−	0.556436i
$767$	−0.771320	−	16.1920i	−0.0278508	−	0.584659i
$768$	−0.814576	−	0.580057i	−0.0293935	−	0.0209310i
$769$	−9.22711	+	2.70932i	−0.332738	+	0.0977007i	−0.443834	−	0.896109i	$-0.646382\pi$
$769$	−9.22711	+	2.70932i	−0.332738	+	0.0977007i	0.111096	+	0.993810i	$0.464564\pi$
$770$	−10.6925	+	4.01257i	−0.385330	+	0.144603i
$771$	6.19288	−	7.14697i	0.223031	−	0.257392i
$772$	−7.59061	−	7.23763i	−0.273192	−	0.260488i
$773$	52.6709	+	5.02946i	1.89444	+	0.180897i	0.976456	−	0.215717i	$-0.0692090\pi$
$773$	52.6709	+	5.02946i	1.89444	+	0.180897i	0.917985	+	0.396615i	$0.129815\pi$
$774$	6.23551	−	0.297034i	0.224131	−	0.0106767i
$775$	−12.7192	+	3.08563i	−0.456886	+	0.110839i
$776$	−1.06205	−	7.38674i	−0.0381255	−	0.265169i
$777$	−3.95305	+	0.480702i	−0.141815	+	0.0172451i
$778$	−7.25192	−	1.04267i	−0.259994	−	0.0373815i
$779$	13.1137	+	0.624681i	0.469846	+	0.0223815i
$780$	−3.70996	+	0.715037i	−0.132838	+	0.0256024i
$781$	27.9781	+	16.1532i	1.00114	+	0.578006i
$782$	−8.58717	+	5.62707i	−0.307076	+	0.201224i
$783$		−	7.73553i		−	0.276445i
$784$	−4.85087	−	5.04669i	−0.173245	−	0.180239i
$785$	10.8668	+	6.98365i	0.387852	+	0.249257i
$786$	2.32240	−	0.929751i	0.0828374	−	0.0331631i
$787$	−9.97916	−	14.0138i	−0.355719	−	0.499537i	0.597479	−	0.801885i	$-0.296169\pi$
$787$	−9.97916	−	14.0138i	−0.355719	−	0.499537i	−0.953198	+	0.302347i	$0.902230\pi$
$788$	2.82352	+	1.13037i	0.100584	+	0.0402676i
$789$	4.52095	+	18.6356i	0.160950	+	0.663446i
$790$	1.64956	+	2.56677i	0.0586887	+	0.0913214i
$791$	22.3865	+	15.0861i	0.795971	+	0.536400i
$792$	0.739955	+	2.52005i	0.0262931	+	0.0895462i
$793$	1.07681	−	5.58704i	0.0382388	−	0.198402i
$794$	27.5120	−	9.52200i	0.976365	−	0.337923i
$795$	2.63043	−	10.8428i	0.0932916	−	0.384553i
$796$	0.161741	−	0.227134i	0.00573277	−	0.00805055i
$797$	18.9852	−	12.2010i	0.672490	−	0.432183i	−0.159332	−	0.987225i	$-0.550934\pi$
$797$	18.9852	−	12.2010i	0.672490	−	0.432183i	0.831822	+	0.555042i	$0.187298\pi$
$798$	3.10754	+	3.09508i	0.110006	+	0.109565i
$799$	23.3372	−	3.35539i	0.825612	−	0.118705i
$800$	2.28848	−	0.218523i	0.0809100	−	0.00772597i
$801$	8.60738	+	6.76892i	0.304127	+	0.239168i
$802$	−15.9016	−	30.8449i	−0.561506	−	1.08917i
$803$	4.08567	−	11.8048i	0.144180	−	0.416582i
$804$	0.918852			0.0324054
$805$	1.71420	+	20.7832i	0.0604177	+	0.732510i
$806$	−13.0881			−0.461009
$807$	5.37793	−	15.5385i	0.189312	−	0.546981i
$808$	6.27149	+	12.1650i	0.220630	+	0.427963i
$809$	8.28444	+	6.51495i	0.291265	+	0.229054i	0.753090	−	0.657918i	$-0.228563\pi$
$809$	8.28444	+	6.51495i	0.291265	+	0.229054i	−0.461824	+	0.886971i	$0.652805\pi$
$810$	−1.63606	+	0.156225i	−0.0574854	+	0.00548919i
$811$	34.1709	−	4.91304i	1.19990	−	0.172520i	0.486758	−	0.873537i	$-0.338179\pi$
$811$	34.1709	−	4.91304i	1.19990	−	0.172520i	0.713145	+	0.701017i	$0.247270\pi$
$812$	−19.7795	−	5.25734i	−0.694125	−	0.184497i
$813$	24.5866	−	15.8008i	0.862288	−	0.554159i
$814$	2.29303	−	3.22011i	0.0803707	−	0.112865i
$815$	−0.914298	+	3.76879i	−0.0320264	+	0.132015i
$816$	−2.02300	+	0.700167i	−0.0708191	+	0.0245107i
$817$	−1.95846	+	10.1615i	−0.0685178	+	0.355504i
$818$	−0.436435	−	1.48636i	−0.0152596	−	0.0519694i
$819$	−0.421718	+	6.06766i	−0.0147360	+	0.212021i
$820$	7.03696	+	10.9497i	0.245741	+	0.382381i
$821$	4.65031	+	19.1688i	0.162297	+	0.668997i	0.993578	+	0.113145i	$0.0360926\pi$
$821$	4.65031	+	19.1688i	0.162297	+	0.668997i	−0.831281	+	0.555852i	$0.812392\pi$
$822$	−19.7770	−	7.91752i	−0.689802	−	0.276155i
$823$	−13.4915	−	18.9462i	−0.470285	−	0.660423i	0.509501	−	0.860470i	$-0.329830\pi$
$823$	−13.4915	−	18.9462i	−0.470285	−	0.660423i	−0.979786	+	0.200047i	$0.935891\pi$
$824$	8.28751	−	3.31782i	0.288709	−	0.115582i
$825$	−5.07941	−	3.26434i	−0.176842	−	0.113650i
$826$	−17.7817	−	5.64485i	−0.618705	−	0.196410i
$827$		−	13.2702i		−	0.461450i	−0.973019	−	0.230725i	$-0.925890\pi$
$827$		−	13.2702i		−	0.461450i	0.973019	−	0.230725i	$-0.0741098\pi$
$828$	4.79564	−	0.0426121i	0.166660	−	0.00148087i
$829$	−3.70589	−	2.13960i	−0.128711	−	0.0743113i	0.434262	−	0.900787i	$-0.357009\pi$
$829$	−3.70589	−	2.13960i	−0.128711	−	0.0743113i	−0.562973	+	0.826475i	$0.690343\pi$
$830$	−8.50626	+	1.63945i	−0.295257	+	0.0569060i
$831$	13.5960	+	0.647657i	0.471640	+	0.0224670i
$832$	2.27549	+	0.327166i	0.0788885	+	0.0113425i
$833$	−14.8239	+	2.19219i	−0.513619	+	0.0759548i
$834$	−1.08151	−	7.52209i	−0.0374498	−	0.260469i
$835$	−11.4985	+	2.78951i	−0.397923	+	0.0965351i
$836$	−4.34898	+	0.207167i	−0.150413	+	0.00716504i
$837$	−5.66744	−	0.541175i	−0.195895	−	0.0187057i
$838$	−23.8854	−	22.7746i	−0.825106	−	0.786737i
$839$	7.62799	−	8.80317i	0.263348	−	0.303919i	−0.608641	−	0.793446i	$-0.708285\pi$
$839$	7.62799	−	8.80317i	0.263348	−	0.303919i	0.871988	+	0.489527i	$0.162830\pi$
$840$	−0.712464	+	4.28954i	−0.0245823	+	0.148003i
$841$	−29.5893	+	8.68820i	−1.02032	+	0.299593i
$842$	−16.7365	−	11.9180i	−0.576776	−	0.410721i
$843$	−0.978309	−	20.5372i	−0.0336948	−	0.707340i
$844$	−17.3780	+	16.5698i	−0.598174	+	0.570358i
$845$	−9.96700	+	7.83813i	−0.342875	+	0.269640i
$846$	−10.0183	−	4.57521i	−0.344437	−	0.157299i
$847$	8.70078	+	6.48609i	0.298962	+	0.222865i
$848$	−3.67025	+	5.71102i	−0.126037	+	0.196117i
$849$	−1.62040	−	0.560826i	−0.0556120	−	0.0192475i
$850$	2.46066	−	4.26199i	0.0843999	−	0.146185i
$851$	−4.51230	−	5.63410i	−0.154680	−	0.193134i
$852$	10.6525	−	6.15020i	0.364947	−	0.210703i
$853$	36.3000	−	31.4541i	1.24289	−	1.07697i	0.248780	−	0.968560i	$-0.419970\pi$
$853$	36.3000	−	31.4541i	1.24289	−	1.07697i	0.994107	−	0.108408i	$-0.0345752\pi$
$854$	−5.59835	−	3.39697i	−0.191572	−	0.116242i
$855$	0.387733	−	2.69674i	0.0132602	−	0.0922266i
$856$	−1.31143	−	13.7340i	−0.0448239	−	0.469417i
$857$	17.3895	−	43.4370i	0.594015	−	1.48378i	−0.261085	−	0.965316i	$-0.584080\pi$
$857$	17.3895	−	43.4370i	0.594015	−	1.48378i	0.855100	−	0.518463i	$-0.173495\pi$
$858$	−4.16664	−	4.36984i	−0.142247	−	0.149184i
$859$	−15.3961	+	29.8643i	−0.525309	+	1.01896i	0.465672	+	0.884957i	$0.345813\pi$
$859$	−15.3961	+	29.8643i	−0.525309	+	1.01896i	−0.990981	+	0.134000i	$0.957218\pi$
$860$	−9.33257	+	4.26204i	−0.318238	+	0.145334i
$861$	19.9456	−	6.42010i	0.679743	−	0.218796i
$862$	−12.0345	−	10.4280i	−0.409897	−	0.355178i
$863$	−35.4187	−	6.82640i	−1.20567	−	0.232373i	−0.453446	−	0.891284i	$-0.649805\pi$
$863$	−35.4187	−	6.82640i	−1.20567	−	0.232373i	−0.752221	+	0.658910i	$0.771018\pi$
$864$	0.971812	+	0.235759i	0.0330617	+	0.00802068i
$865$	−0.934890	+	9.79061i	−0.0317872	+	0.332891i
$866$	17.3223	+	8.93028i	0.588637	+	0.303463i
$867$	3.49834	−	11.9143i	0.118810	−	0.404629i
$868$	−5.23556	+	14.1237i	−0.177707	+	0.479389i
$869$	−2.02553	+	4.43529i	−0.0687114	+	0.150457i
$870$	4.72509	+	11.8027i	0.160196	+	0.400149i
$871$	−1.87752	+	0.967931i	−0.0636175	+	0.0327971i
$872$	−2.59562	−	13.4673i	−0.0878986	−	0.456061i
$873$	3.73135	+	6.46289i	0.126287	+	0.218736i
$874$	−1.80560	+	7.74240i	−0.0610753	+	0.261891i
$875$	−16.5729	−	27.0671i	−0.560267	−	0.915034i
$876$	−3.11463	−	3.59447i	−0.105234	−	0.121446i
$877$	2.10733	−	44.2382i	0.0711594	−	1.49382i	−0.627641	−	0.778503i	$-0.715979\pi$
$877$	2.10733	−	44.2382i	0.0711594	−	1.49382i	0.698800	−	0.715317i	$-0.253718\pi$
$878$	0.834951	−	1.06173i	0.0281782	−	0.0358315i
$879$	−3.67023	+	2.61356i	−0.123794	+	0.0881533i
$880$	−2.66833	−	3.39306i	−0.0899494	−	0.114380i
$881$	30.0757	+	8.83101i	1.01328	+	0.297524i	0.745893	−	0.666066i	$-0.232023\pi$
$881$	30.0757	+	8.83101i	1.01328	+	0.297524i	0.267382	+	0.963591i	$0.413841\pi$
$882$	6.37906	+	2.88230i	0.214794	+	0.0970520i
$883$	11.4537	+	25.0801i	0.385447	+	0.844011i	0.998541	+	0.0540010i	$0.0171974\pi$
$883$	11.4537	+	25.0801i	0.385447	+	0.844011i	−0.613094	+	0.790010i	$0.710075\pi$
$884$	3.39610	−	3.56173i	0.114223	−	0.119794i
$885$	3.79039	+	10.9516i	0.127412	+	0.368134i
$886$	0.852905	+	2.46431i	0.0286539	+	0.0827900i
$887$	22.6622	−	23.7674i	0.760922	−	0.798033i	−0.223341	−	0.974740i	$-0.571696\pi$
$887$	22.6622	−	23.7674i	0.760922	−	0.798033i	0.984263	+	0.176708i	$0.0565448\pi$
$888$	−0.625249	−	1.36911i	−0.0209820	−	0.0459442i
$889$	33.3616	+	16.1233i	1.11891	+	0.540759i
$890$	−17.2676	−	5.07023i	−0.578811	−	0.169954i
$891$	−1.62356	−	2.06452i	−0.0543913	−	0.0691642i
$892$	20.4500	−	14.5624i	0.684717	−	0.487585i
$893$	11.2860	−	14.3513i	0.377672	−	0.480249i
$894$	0.0368996	−	0.774618i	0.00123411	−	0.0259071i
$895$	13.3993	+	15.4636i	0.447889	+	0.516892i
$896$	1.26331	−	2.32466i	0.0422041	−	0.0776615i
$897$	−9.75422	+	5.13886i	−0.325684	+	0.171582i
$898$	3.92644	+	6.80079i	0.131027	+	0.226945i
$899$	8.33464	+	43.2442i	0.277976	+	1.44228i
$900$	−2.04334	+	1.05341i	−0.0681112	+	0.0351138i
$901$	5.40131	+	13.4918i	0.179944	+	0.449478i
$902$	−8.64083	+	18.9208i	−0.287708	+	0.629993i
$903$	2.77162	+	16.2821i	0.0922337	+	0.541835i
$904$	−2.87459	+	9.78995i	−0.0956074	+	0.325609i
$905$	17.8095	+	9.18144i	0.592008	+	0.305202i
$906$	1.52159	−	15.9349i	0.0505516	−	0.529400i
$907$	7.69658	+	1.86717i	0.255561	+	0.0619984i	0.361492	−	0.932375i	$-0.382267\pi$
$907$	7.69658	+	1.86717i	0.255561	+	0.0619984i	−0.105932	+	0.994373i	$0.533782\pi$
$908$	7.60964	+	1.46664i	0.252535	+	0.0486721i
$909$	−10.3435	−	8.96271i	−0.343073	−	0.297274i
$910$	−3.06286	−	9.51549i	−0.101533	−	0.315436i
$911$	−14.2026	+	6.48613i	−0.470555	+	0.214895i	−0.636556	−	0.771230i	$-0.719642\pi$
$911$	−14.2026	+	6.48613i	−0.470555	+	0.214895i	0.166002	+	0.986125i	$0.446914\pi$
$912$	−0.759612	+	1.47344i	−0.0251533	+	0.0487905i
$913$	−9.55333	−	10.0192i	−0.316169	−	0.331588i
$914$	−1.16399	+	2.90751i	−0.0385014	+	0.0961718i
$915$	0.386664	+	4.04933i	0.0127827	+	0.133867i
$916$	0.877621	−	6.10399i	0.0289974	−	0.201681i
$917$	3.18363	+	5.80263i	0.105133	+	0.191620i
$918$	1.61786	−	1.40188i	0.0533974	−	0.0462691i
$919$	3.47245	−	2.00482i	0.114545	−	0.0661328i	−0.441633	−	0.897196i	$-0.645601\pi$
$919$	3.47245	−	2.00482i	0.114545	−	0.0661328i	0.556178	+	0.831063i	$0.312267\pi$
$920$	−7.29105	+	2.99433i	−0.240379	+	0.0987203i
$921$	1.62863	−	2.82087i	0.0536652	−	0.0929509i
$922$	−31.1369	−	10.7766i	−1.02544	−	0.354908i
$923$	−15.2879	+	23.7884i	−0.503206	+	0.783004i
$924$	−6.38236	+	2.74827i	−0.209964	+	0.0904114i
$925$	3.14742	+	1.43738i	0.103487	+	0.0472608i
$926$	−10.4147	+	8.19025i	−0.342250	+	0.269148i
$927$	−6.46075	+	6.16031i	−0.212199	+	0.202331i
$928$	−0.368071	−	7.72677i	−0.0120825	−	0.253644i
$929$	23.5423	+	16.7644i	0.772398	+	0.550022i	0.896919	−	0.442195i	$-0.145800\pi$
$929$	23.5423	+	16.7644i	0.772398	+	0.550022i	−0.124521	+	0.992217i	$0.539739\pi$
$930$	8.97782	−	2.63613i	0.294394	−	0.0864420i
$931$	−7.13644	+	9.15015i	−0.233887	+	0.299884i
$932$	−11.5718	+	13.3546i	−0.379048	+	0.437444i
$933$	8.35630	+	7.96772i	0.273573	+	0.260851i
$934$	−0.585725	−	0.0559299i	−0.0191655	−	0.00183008i
$935$	−9.23019	+	0.439688i	−0.301859	+	0.0143793i
$936$	−2.23409	+	0.541984i	−0.0730235	+	0.0177153i
$937$	−2.65113	−	18.4390i	−0.0866086	−	0.602376i	−0.986189	−	0.165622i	$-0.947037\pi$
$937$	−2.65113	−	18.4390i	−0.0866086	−	0.602376i	0.899581	−	0.436754i	$-0.143872\pi$
$938$	0.293461	+	2.41328i	0.00958185	+	0.0787963i
$939$	13.3372	+	1.91760i	0.435244	+	0.0625786i
$940$	18.0804	+	0.861275i	0.589717	+	0.0280917i
$941$	−28.2044	+	5.43596i	−0.919438	+	0.177207i	−0.626948	−	0.779061i	$-0.715696\pi$
$941$	−28.2044	+	5.43596i	−0.919438	+	0.177207i	−0.292490	+	0.956268i	$0.594484\pi$
$942$	6.80664	+	3.92982i	0.221772	+	0.128040i
$943$	28.9241	+	24.6164i	0.941900	+	0.801620i
$944$		−	7.05138i		−	0.229503i
$945$	−0.932833	−	4.24707i	−0.0303451	−	0.138157i
$946$	−13.7930	−	8.86424i	−0.448450	−	0.288201i
$947$	21.0200	−	8.41514i	0.683058	−	0.273455i	−0.00406967	−	0.999992i	$-0.501295\pi$
$947$	21.0200	−	8.41514i	0.683058	−	0.273455i	0.687128	+	0.726536i	$0.258871\pi$
$948$	1.07686	+	1.51224i	0.0349747	+	0.0491152i
$949$	10.1507	+	4.06373i	0.329506	+	0.131914i
$950$	−0.898458	−	3.70350i	−0.0291498	−	0.120157i
$951$	−8.79722	−	13.6887i	−0.285270	−	0.443888i
$952$	−2.48502	−	5.08959i	−0.0805400	−	0.164955i
$953$	−4.65649	−	15.8585i	−0.150838	−	0.513709i	0.849055	−	0.528304i	$-0.177172\pi$
$953$	−4.65649	−	15.8585i	−0.150838	−	0.513709i	−0.999893	+	0.0145958i	$0.995354\pi$
$954$	1.28477	−	6.66603i	0.0415960	−	0.215821i
$955$	2.06250	−	0.713838i	0.0667409	−	0.0230993i
$956$	2.56050	−	10.5545i	0.0828126	−	0.341358i
$957$	−11.7850	+	16.5497i	−0.380954	+	0.534976i
$958$	−13.0847	+	8.40905i	−0.422749	+	0.271684i
$959$	14.4783	−	54.4711i	0.467528	−	1.75896i
$960$	−1.62678	+	0.233895i	−0.0525040	+	0.00754893i
$961$	1.40637	−	0.134292i	0.0453668	−	0.00433201i
$962$	2.71983	+	2.13890i	0.0876908	+	0.0689608i
$963$	6.32189	+	12.2628i	0.203720	+	0.395162i
$964$	−8.49662	+	24.5494i	−0.273658	+	0.790682i
$965$	−17.2373			−0.554888
$966$	1.64354	+	12.5817i	0.0528800	+	0.404809i
$967$	−27.3561			−0.879712			−0.439856	−	0.898068i	$-0.644971\pi$
$967$	−27.3561			−0.879712			−0.439856	+	0.898068i	$0.644971\pi$
$968$	−1.34156	+	3.87620i	−0.0431195	+	0.124586i
$969$	1.62613	+	3.15425i	0.0522388	+	0.101329i
$970$	−9.64093	−	7.58171i	−0.309552	−	0.243434i
$971$	−17.4808	+	1.66921i	−0.560985	+	0.0535675i	−0.371697	−	0.928354i	$-0.621224\pi$
$971$	−17.4808	+	1.66921i	−0.560985	+	0.0535675i	−0.189288	+	0.981922i	$0.560618\pi$
$972$	−0.989821	+	0.142315i	−0.0317485	+	0.00456475i
$973$	19.4106	−	5.24288i	0.622277	−	0.168079i
$974$	11.5872	−	7.44664i	0.371278	−	0.238606i
$975$	3.06554	−	4.30495i	0.0981759	−	0.137869i
$976$	0.583514	−	2.40528i	0.0186778	−	0.0769911i
$977$	54.9661	−	19.0240i	1.75852	−	0.608631i	0.759405	−	0.650619i	$-0.225490\pi$
$977$	54.9661	−	19.0240i	1.75852	−	0.608631i	0.999118	+	0.0419880i	$0.0133691\pi$
$978$	−0.446567	+	2.31701i	−0.0142797	+	0.0740899i
$979$	−8.10260	−	27.5949i	−0.258960	−	0.881937i
$980$	−11.4936	−	0.501233i	−0.367150	−	0.0160113i
$981$	7.41499	+	11.5379i	0.236742	+	0.368378i
$982$	−4.47612	−	18.4508i	−0.142839	−	0.588789i
$983$	−24.2171	−	9.69505i	−0.772404	−	0.309224i	−0.0482256	−	0.998836i	$-0.515357\pi$
$983$	−24.2171	−	9.69505i	−0.772404	−	0.309224i	−0.724179	+	0.689612i	$0.757781\pi$
$984$	4.59384	+	6.45114i	0.146446	+	0.205655i
$985$	4.64047	−	1.85776i	0.147858	−	0.0591933i
$986$	−13.9309	−	8.95287i	−0.443652	−	0.285118i
$987$	8.81672	−	27.7734i	0.280639	−	0.884036i
$988$		−	3.81092i		−	0.121242i
$989$	−22.4508	+	19.8057i	−0.713895	+	0.629786i
$990$	3.73826	+	2.15829i	0.118810	+	0.0685949i
$991$	−41.2499	+	7.95026i	−1.31035	+	0.252548i	−0.796137	−	0.605117i	$-0.793126\pi$
$991$	−41.2499	+	7.95026i	−1.31035	+	0.252548i	−0.514208	+	0.857665i	$0.671914\pi$
$992$	−5.68677	−	0.270894i	−0.180555	−	0.00860091i
$993$	−28.0829	−	4.03771i	−0.891183	−	0.128133i
$994$	19.5551	+	26.0134i	0.620250	+	0.825096i
$995$	−0.0652186	−	0.453605i	−0.00206757	−	0.0143803i
$996$	−5.12236	+	1.24267i	−0.162308	+	0.0393755i
$997$	−45.8100	+	2.18220i	−1.45082	+	0.0691109i	−0.758118	−	0.652117i	$-0.773881\pi$
$997$	−45.8100	+	2.18220i	−1.45082	+	0.0691109i	−0.692698	+	0.721228i	$0.743578\pi$
$998$	4.33151	+	0.413609i	0.137112	+	0.0130926i
$999$	1.08931	+	1.03865i	0.0344641	+	0.0328615i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.493.10	yes	320
7.5	odd	6	inner	966.2.be.b.355.10	yes	320
23.7	odd	22	inner	966.2.be.b.283.10	yes	320
161.145	even	66	inner	966.2.be.b.145.10	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.145.10	✓	320	161.145	even	66	inner
966.2.be.b.283.10	yes	320	23.7	odd	22	inner
966.2.be.b.355.10	yes	320	7.5	odd	6	inner
966.2.be.b.493.10	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)

\(f(q)\)	\(=\)	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.63606 + 0.156225i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.689903 - 2.55422i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(-0.327068 + 0.945001i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-1.63606 + 0.156225i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-0.689903 - 2.55422i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.387471 - 1.59718i) q^{10} +(2.48199 - 0.859026i) q^{11} +(0.189251 - 0.981929i) q^{12} +(0.647673 + 2.20577i) q^{13} +(2.63938 + 0.183444i) q^{14} +(-0.888546 - 1.38260i) q^{15} +(0.235759 + 0.971812i) q^{16} +(1.98739 + 0.795632i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(1.53898 - 0.616113i) q^{19} +(1.38260 + 0.888546i) q^{20} +(1.95415 - 1.78362i) q^{21} +2.62644i q^{22} +(4.61339 + 1.31020i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-2.25735 + 0.435068i) q^{25} +(-2.29629 - 0.109386i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.03661 + 2.43422i) q^{28} +(1.10088 + 7.65680i) q^{29} +(1.59718 - 0.387471i) q^{30} +(5.68677 - 0.270894i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(1.90085 + 1.81245i) q^{33} +(-1.40188 + 1.61786i) q^{34} +(1.52776 + 4.07108i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-1.22603 - 0.873055i) q^{37} +(0.0788776 + 1.65584i) q^{38} +(-1.66379 + 1.58642i) q^{39} +(-1.29188 + 1.01595i) q^{40} +(7.20395 + 3.28993i) q^{41} +(1.04638 + 2.43004i) q^{42} +(-3.37500 + 5.25160i) q^{43} +(-2.48199 - 0.859026i) q^{44} +(0.821753 - 1.42332i) q^{45} +(-2.74703 + 3.93113i) q^{46} +(9.53805 - 5.50680i) q^{47} +(-0.755750 + 0.654861i) q^{48} +(-6.04807 + 3.52433i) q^{49} +(0.327166 - 2.27549i) q^{50} +(0.203490 + 2.13104i) q^{51} +(0.854412 - 2.13422i) q^{52} +(4.68474 + 4.91322i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-3.92649 + 1.79317i) q^{55} +(-1.96130 - 1.77576i) q^{56} +(1.25282 + 1.08558i) q^{57} +(-7.59574 - 1.46396i) q^{58} +(-6.85261 - 1.66243i) q^{59} +(-0.156225 + 1.63606i) q^{60} +(-2.19991 - 1.13413i) q^{61} +(-1.60397 + 5.46261i) q^{62} +(2.48079 + 0.919614i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.40423 - 3.50760i) q^{65} +(-2.33448 + 1.20351i) q^{66} +(0.173894 + 0.902248i) q^{67} +(-1.07037 - 1.85393i) q^{68} +(0.949423 + 4.70091i) q^{69} +(-4.34686 + 0.112212i) q^{70} +(8.05505 + 9.29603i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(2.94007 - 3.73860i) q^{73} +(1.22603 - 0.873055i) q^{74} +(-1.42108 - 1.80705i) q^{75} +(-1.59057 - 0.467034i) q^{76} +(-3.90647 - 5.74691i) q^{77} +(-0.954994 - 2.09115i) q^{78} +(-1.28111 + 1.34359i) q^{79} +(-0.537538 - 1.55311i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-5.46517 + 5.73171i) q^{82} +(-2.18963 - 4.79461i) q^{83} +(-2.63863 + 0.194047i) q^{84} +(-3.37580 - 0.991223i) q^{85} +(-3.85891 - 4.90700i) q^{86} +(-6.30118 + 4.48705i) q^{87} +(1.62356 - 2.06452i) q^{88} +(0.521028 - 10.9377i) q^{89} +(1.07627 + 1.24208i) q^{90} +(5.18719 - 3.17607i) q^{91} +(-2.81646 - 3.88170i) q^{92} +(2.84661 + 4.93047i) q^{93} +(2.08434 + 10.8146i) q^{94} +(-2.42161 + 1.24843i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(3.10012 - 6.78831i) q^{97} +(-1.35236 - 6.86812i) q^{98} +(-0.739955 + 2.52005i) 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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