LMFDB - Embedded newform 966.2.be.a.493.4

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			493.4
Character	$\chi$	$=$	966.493
Dual form			966.2.be.a.145.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.118535 + 0.0113188i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-2.57983 + 0.586920i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.118535 + 0.0113188i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-2.57983 + 0.586920i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0280729 + 0.115718i) q^{10} +(2.81399 - 0.973932i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.0323622 + 0.110216i) q^{13} +(-0.289140 + 2.62990i) q^{14} +(0.0643766 + 0.100172i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.56939 - 2.62999i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-3.49992 + 1.40116i) q^{19} +(0.100172 + 0.0643766i) q^{20} +(1.70382 + 2.02410i) q^{21} -2.97777i q^{22} +(-0.784385 + 4.73125i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-4.89572 + 0.943573i) q^{25} +(0.114738 + 0.00546566i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.39069 + 1.13340i) q^{28} +(0.926583 + 6.44453i) q^{29} +(0.115718 - 0.0280729i) q^{30} +(3.03025 - 0.144349i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-2.15511 - 2.05489i) q^{33} +(-4.63398 + 5.34790i) q^{34} +(0.299158 - 0.0987713i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-0.285973 - 0.203640i) q^{37} +(0.179383 + 3.76571i) q^{38} +(0.0831343 - 0.0792684i) q^{39} +(0.0935990 - 0.0736070i) q^{40} +(2.97435 + 1.35834i) q^{41} +(2.47004 - 0.948094i) q^{42} +(-6.50114 + 10.1160i) q^{43} +(-2.81399 - 0.973932i) q^{44} +(0.0595373 - 0.103122i) q^{45} +(4.21449 + 2.28869i) q^{46} +(-2.89804 + 1.67318i) q^{47} +(0.755750 - 0.654861i) q^{48} +(6.31105 - 3.02831i) q^{49} +(-0.709556 + 4.93507i) q^{50} +(0.672643 + 7.04424i) q^{51} +(0.0426923 - 0.106640i) q^{52} +(7.40012 + 7.76102i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-0.322534 + 0.147296i) q^{55} +(1.85298 - 1.88851i) q^{56} +(2.84916 + 2.46881i) q^{57} +(6.39314 + 1.23218i) q^{58} +(-5.63176 - 1.36625i) q^{59} +(0.0113188 - 0.118535i) q^{60} +(3.45189 + 1.77957i) q^{61} +(0.854688 - 2.91080i) q^{62} +(1.01836 - 2.44191i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.00508357 - 0.0126981i) q^{65} +(-2.64674 + 1.36449i) q^{66} +(-2.75708 - 14.3051i) q^{67} +(3.53814 + 6.12824i) q^{68} +(4.56473 - 1.47080i) q^{69} +(0.00450609 - 0.315010i) q^{70} +(-9.46510 - 10.9233i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(1.57879 - 2.00760i) q^{73} +(-0.285973 + 0.203640i) q^{74} +(3.08203 + 3.91912i) q^{75} +(3.61726 + 1.06212i) q^{76} +(-6.68800 + 4.16417i) q^{77} +(-0.0477181 - 0.104488i) q^{78} +(4.27913 - 4.48782i) q^{79} +(-0.0389455 - 0.112526i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(2.25645 - 2.36649i) q^{82} +(-6.49634 - 14.2250i) q^{83} +(-0.0880773 - 2.64428i) q^{84} +(0.808474 + 0.237389i) q^{85} +(7.43328 + 9.45219i) q^{86} +(5.30354 - 3.77663i) q^{87} +(-1.84073 + 2.34068i) q^{88} +(-0.540858 + 11.3540i) q^{89} +(-0.0779773 - 0.0899906i) q^{90} +(-0.148177 - 0.265343i) q^{91} +(3.54123 - 3.23414i) q^{92} +(-1.51684 - 2.62725i) q^{93} +(0.633304 + 3.28589i) q^{94} +(0.399006 - 0.205702i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(7.87930 - 17.2533i) q^{97} +(-0.797610 - 6.95441i) q^{98} +(-0.838934 + 2.85715i) 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} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

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
$5$	−0.118535	+	0.0113188i	−0.0530106	+	0.00506190i	−0.121528	−	0.992588i	$-0.538779\pi$
$5$	−0.118535	+	0.0113188i	−0.0530106	+	0.00506190i	0.0685170	+	0.997650i	$0.478173\pi$
$6$	−0.989821	+	0.142315i	−0.404093	+	0.0580998i
$7$	−2.57983	+	0.586920i	−0.975084	+	0.221835i
$7$	−2.57983	+	0.586920i	−0.975084	+	0.221835i
$8$	−0.841254	+	0.540641i	−0.297428	+	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.0280729	+	0.115718i	−0.00887743	+	0.0365933i
$11$	2.81399	−	0.973932i	0.848451	−	0.293652i	0.131966	−	0.991254i	$-0.457871\pi$
$11$	2.81399	−	0.973932i	0.848451	−	0.293652i	0.716485	+	0.697603i	$0.245750\pi$
$12$	−0.189251	+	0.981929i	−0.0546321	+	0.283458i
$13$	0.0323622	+	0.110216i	0.00897566	+	0.0305683i	0.963859	−	0.266413i	$-0.0858384\pi$
$13$	0.0323622	+	0.110216i	0.00897566	+	0.0305683i	−0.954883	+	0.296981i	$0.904020\pi$
$14$	−0.289140	+	2.62990i	−0.0772760	+	0.702872i
$15$	0.0643766	+	0.100172i	0.0166220	+	0.0258643i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	−6.56939	−	2.62999i	−1.59331	−	0.637866i	−0.605829	−	0.795595i	$-0.707159\pi$
$17$	−6.56939	−	2.62999i	−1.59331	−	0.637866i	−0.987482	+	0.157729i	$0.949583\pi$
$18$	0.580057	+	0.814576i	0.136721	+	0.191997i
$19$	−3.49992	+	1.40116i	−0.802938	+	0.321448i	−0.736582	−	0.676348i	$-0.763561\pi$
$19$	−3.49992	+	1.40116i	−0.802938	+	0.321448i	−0.0663557	+	0.997796i	$0.521137\pi$
$20$	0.100172	+	0.0643766i	0.0223991	+	0.0143950i
$21$	1.70382	+	2.02410i	0.371804	+	0.441695i
$22$		−	2.97777i		−	0.634862i
$23$	−0.784385	+	4.73125i	−0.163556	+	0.986534i
$23$	−0.784385	+	4.73125i	−0.163556	+	0.986534i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	−4.89572	+	0.943573i	−0.979144	+	0.188715i
$26$	0.114738	+	0.00546566i	0.0225021	+	0.00107190i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	2.39069	+	1.13340i	0.451799	+	0.214192i
$29$	0.926583	+	6.44453i	0.172062	+	1.19672i	0.874519	+	0.484992i	$0.161177\pi$
$29$	0.926583	+	6.44453i	0.172062	+	1.19672i	−0.702456	+	0.711727i	$0.747913\pi$
$30$	0.115718	−	0.0280729i	0.0211271	−	0.00512539i
$31$	3.03025	−	0.144349i	0.544249	−	0.0259258i	0.226342	−	0.974048i	$-0.427323\pi$
$31$	3.03025	−	0.144349i	0.544249	−	0.0259258i	0.317907	+	0.948122i	$0.397020\pi$
$32$	0.995472	+	0.0950560i	0.175976	+	0.0168037i
$33$	−2.15511	−	2.05489i	−0.375157	−	0.357711i
$34$	−4.63398	+	5.34790i	−0.794721	+	0.917157i
$35$	0.299158	−	0.0987713i	0.0505669	−	0.0166954i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−0.285973	−	0.203640i	−0.0470136	−	0.0334783i	0.556309	−	0.830976i	$-0.312217\pi$
$37$	−0.285973	−	0.203640i	−0.0470136	−	0.0334783i	−0.603322	+	0.797498i	$0.706157\pi$
$38$	0.179383	+	3.76571i	0.0290997	+	0.610878i
$39$	0.0831343	−	0.0792684i	0.0133121	−	0.0126931i
$40$	0.0935990	−	0.0736070i	0.0147993	−	0.0116383i
$41$	2.97435	+	1.35834i	0.464515	+	0.212137i	0.633903	−	0.773413i	$-0.281452\pi$
$41$	2.97435	+	1.35834i	0.464515	+	0.212137i	−0.169388	+	0.985549i	$0.554179\pi$
$42$	2.47004	−	0.948094i	0.381136	−	0.146294i
$43$	−6.50114	+	10.1160i	−0.991414	+	1.54267i	−0.159925	+	0.987129i	$0.551125\pi$
$43$	−6.50114	+	10.1160i	−0.991414	+	1.54267i	−0.831489	+	0.555541i	$0.812511\pi$
$44$	−2.81399	−	0.973932i	−0.424225	−	0.146826i
$45$	0.0595373	−	0.103122i	0.00887530	−	0.0153725i
$46$	4.21449	+	2.28869i	0.621393	+	0.337448i
$47$	−2.89804	+	1.67318i	−0.422722	+	0.244059i	−0.696241	−	0.717808i	$-0.745146\pi$
$47$	−2.89804	+	1.67318i	−0.422722	+	0.244059i	0.273519	+	0.961867i	$0.411812\pi$
$48$	0.755750	−	0.654861i	0.109083	−	0.0945210i
$49$	6.31105	−	3.02831i	0.901579	−	0.432615i
$50$	−0.709556	+	4.93507i	−0.100346	+	0.697925i
$51$	0.672643	+	7.04424i	0.0941889	+	0.986391i
$52$	0.0426923	−	0.106640i	0.00592036	−	0.0147883i
$53$	7.40012	+	7.76102i	1.01648	+	1.06606i	0.997804	+	0.0662323i	$0.0210978\pi$
$53$	7.40012	+	7.76102i	1.01648	+	1.06606i	0.0186799	+	0.999826i	$0.494054\pi$
$54$	0.458227	−	0.888835i	0.0623567	−	0.120955i
$55$	−0.322534	+	0.147296i	−0.0434905	+	0.0198614i
$56$	1.85298	−	1.88851i	0.247615	−	0.252363i
$57$	2.84916	+	2.46881i	0.377380	+	0.327002i
$58$	6.39314	+	1.23218i	0.839460	+	0.161793i
$59$	−5.63176	−	1.36625i	−0.733193	−	0.177871i	−0.148255	−	0.988949i	$-0.547366\pi$
$59$	−5.63176	−	1.36625i	−0.733193	−	0.177871i	−0.584937	+	0.811079i	$0.698881\pi$
$60$	0.0113188	−	0.118535i	0.00146125	−	0.0153029i
$61$	3.45189	+	1.77957i	0.441969	+	0.227851i	0.664823	−	0.747001i	$-0.268507\pi$
$61$	3.45189	+	1.77957i	0.441969	+	0.227851i	−0.222854	+	0.974852i	$0.571537\pi$
$62$	0.854688	−	2.91080i	0.108546	−	0.369672i
$63$	1.01836	−	2.44191i	0.128301	−	0.307652i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−0.00508357	−	0.0126981i	−0.000630539	−	0.00157501i
$66$	−2.64674	+	1.36449i	−0.325792	+	0.167957i
$67$	−2.75708	−	14.3051i	−0.336831	−	1.74765i	−0.616319	−	0.787496i	$-0.711377\pi$
$67$	−2.75708	−	14.3051i	−0.336831	−	1.74765i	0.279488	−	0.960149i	$-0.409835\pi$
$68$	3.53814	+	6.12824i	0.429063	+	0.743158i
$69$	4.56473	−	1.47080i	0.549529	−	0.177063i
$70$	0.00450609	−	0.315010i	0.000538581	−	0.0376508i
$71$	−9.46510	−	10.9233i	−1.12330	−	1.29636i	−0.950265	−	0.311442i	$-0.899188\pi$
$71$	−9.46510	−	10.9233i	−1.12330	−	1.29636i	−0.173035	−	0.984916i	$-0.555357\pi$
$72$	0.0475819	−	0.998867i	0.00560758	−	0.117718i
$73$	1.57879	−	2.00760i	0.184783	−	0.234971i	−0.684832	−	0.728701i	$-0.740124\pi$
$73$	1.57879	−	2.00760i	0.184783	−	0.234971i	0.869615	+	0.493730i	$0.164367\pi$
$74$	−0.285973	+	0.203640i	−0.0332437	+	0.0236727i
$75$	3.08203	+	3.91912i	0.355882	+	0.452541i
$76$	3.61726	+	1.06212i	0.414929	+	0.121834i
$77$	−6.68800	+	4.16417i	−0.762169	+	0.474551i
$78$	−0.0477181	−	0.104488i	−0.00540301	−	0.0118309i
$79$	4.27913	−	4.48782i	0.481439	−	0.504919i	−0.437554	−	0.899192i	$-0.644155\pi$
$79$	4.27913	−	4.48782i	0.481439	−	0.504919i	0.918993	+	0.394273i	$0.129004\pi$
$80$	−0.0389455	−	0.112526i	−0.00435424	−	0.0125807i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	2.25645	−	2.36649i	0.249183	−	0.261335i
$83$	−6.49634	−	14.2250i	−0.713065	−	1.56140i	−0.823375	−	0.567498i	$-0.807911\pi$
$83$	−6.49634	−	14.2250i	−0.713065	−	1.56140i	0.110309	−	0.993897i	$-0.464816\pi$
$84$	−0.0880773	−	2.64428i	−0.00961002	−	0.288515i
$85$	0.808474	+	0.237389i	0.0876913	+	0.0257485i
$86$	7.43328	+	9.45219i	0.801551	+	1.01926i
$87$	5.30354	−	3.77663i	0.568599	−	0.404898i
$88$	−1.84073	+	2.34068i	−0.196223	+	0.249518i
$89$	−0.540858	+	11.3540i	−0.0573309	+	1.20352i	0.768592	+	0.639739i	$0.220958\pi$
$89$	−0.540858	+	11.3540i	−0.0573309	+	1.20352i	−0.825923	+	0.563783i	$0.809345\pi$
$90$	−0.0779773	−	0.0899906i	−0.00821953	−	0.00948584i
$91$	−0.148177	−	0.265343i	−0.0155331	−	0.0278155i
$92$	3.54123	−	3.23414i	0.369199	−	0.337182i
$93$	−1.51684	−	2.62725i	−0.157289	−	0.272433i
$94$	0.633304	+	3.28589i	0.0653203	+	0.338914i
$95$	0.399006	−	0.205702i	0.0409371	−	0.0211045i
$96$	−0.371662	−	0.928368i	−0.0379326	−	0.0947512i
$97$	7.87930	−	17.2533i	0.800022	−	1.75180i	0.154601	−	0.987977i	$-0.450591\pi$
$97$	7.87930	−	17.2533i	0.800022	−	1.75180i	0.645421	−	0.763827i	$-0.276682\pi$
$98$	−0.797610	−	6.95441i	−0.0805708	−	0.702501i
$99$	−0.838934	+	2.85715i	−0.0843160	+	0.287154i
$100$	4.43157	+	2.28464i	0.443157	+	0.228464i
$101$	−1.33012	+	13.9296i	−0.132352	+	1.38605i	0.648443	+	0.761264i	$0.275421\pi$
$101$	−1.33012	+	13.9296i	−0.132352	+	1.38605i	−0.780794	+	0.624788i	$0.785185\pi$
$102$	6.87681	+	1.66830i	0.680906	+	0.165186i
$103$	−14.7371	−	2.84035i	−1.45209	−	0.279868i	−0.598632	−	0.801024i	$-0.704289\pi$
$103$	−14.7371	−	2.84035i	−1.45209	−	0.279868i	−0.853462	+	0.521156i	$0.825501\pi$
$104$	−0.0868118	−	0.0752229i	−0.00851260	−	0.00737621i
$105$	−0.224874	−	0.220643i	−0.0219454	−	0.0215325i
$106$	9.75451	−	4.45474i	0.947442	−	0.432682i
$107$	−4.01804	+	7.79391i	−0.388439	+	0.753466i	−0.999266	−	0.0382977i	$-0.987806\pi$
$107$	−4.01804	+	7.79391i	−0.388439	+	0.753466i	0.610828	+	0.791763i	$0.290837\pi$
$108$	−0.690079	−	0.723734i	−0.0664029	−	0.0696413i
$109$	1.03067	−	2.57449i	0.0987202	−	0.246591i	−0.870784	−	0.491666i	$-0.836388\pi$
$109$	1.03067	−	2.57449i	0.0987202	−	0.246591i	0.969504	+	0.245075i	$0.0788125\pi$
$110$	0.0337046	+	0.352971i	0.00321361	+	0.0336545i
$111$	−0.0499624	+	0.347496i	−0.00474222	+	0.0329829i
$112$	−1.17859	−	2.36874i	−0.111367	−	0.223825i
$113$	−15.8349	+	13.7210i	−1.48962	+	1.29076i	−0.633797	+	0.773500i	$0.718504\pi$
$113$	−15.8349	+	13.7210i	−1.48962	+	1.29076i	−0.855825	+	0.517265i	$0.826950\pi$
$114$	3.26489	−	1.88499i	0.305785	−	0.176545i
$115$	0.0394255	−	0.569699i	0.00367645	−	0.0531247i
$116$	3.25540	−	5.63852i	0.302256	−	0.523523i
$117$	−0.108551	−	0.0375698i	−0.0100355	−	0.00347333i
$118$	−3.13308	+	4.87516i	−0.288423	+	0.448795i
$119$	18.4915	+	2.92922i	1.69511	+	0.268521i
$120$	−0.108314	−	0.0494654i	−0.00988768	−	0.00451555i
$121$	−1.67658	+	1.31847i	−0.152416	+	0.119861i
$122$	2.81070	−	2.68000i	0.254469	−	0.242635i
$123$	−0.155585	−	3.26613i	−0.0140286	−	0.294497i
$124$	−2.47117	−	1.75971i	−0.221917	−	0.158027i
$125$	1.14089	−	0.334996i	0.102045	−	0.0299630i
$126$	−1.97454	−	1.76102i	−0.175906	−	0.156884i
$127$	−6.69219	+	7.72320i	−0.593836	+	0.685323i	−0.970520	−	0.241019i	$-0.922519\pi$
$127$	−6.69219	+	7.72320i	−0.593836	+	0.685323i	0.376685	+	0.926341i	$0.377064\pi$
$128$	−0.723734	−	0.690079i	−0.0639697	−	0.0609949i
$129$	11.9704	+	1.14304i	1.05394	+	0.100639i
$130$	−0.0136624		0.000650822i	−0.00119827		5.70808e-5i
$131$	−13.2266	+	3.20873i	−1.15561	+	0.280348i	−0.767367	−	0.641209i	$-0.778433\pi$
$131$	−13.2266	+	3.20873i	−1.15561	+	0.280348i	−0.388244	+	0.921557i	$0.626918\pi$
$132$	0.423780	+	2.94746i	0.0368854	+	0.256543i
$133$	8.20684	−	5.66893i	0.711624	−	0.491558i
$134$	−14.4201	−	2.07329i	−1.24571	−	0.179105i
$135$	−0.118940	−	0.00566580i	−0.0102367	−	0.000487634i
$136$	6.94840	−	1.33920i	0.595821	−	0.114835i
$137$	−2.43074	−	1.40339i	−0.207672	−	0.119899i	0.392557	−	0.919728i	$-0.371591\pi$
$137$	−2.43074	−	1.40339i	−0.207672	−	0.119899i	−0.600229	+	0.799828i	$0.704924\pi$
$138$	0.103074	−	4.79472i	0.00877424	−	0.408154i
$139$			7.37888i			0.625868i	0.949775	+	0.312934i	$0.101312\pi$
$139$			7.37888i			0.625868i	−0.949775	+	0.312934i	$0.898688\pi$
$140$	−0.296210	−	0.107288i	−0.0250344	−	0.00906747i
$141$	2.81514	+	1.80918i	0.237078	+	0.152361i
$142$	−13.4183	+	5.37186i	−1.12604	+	0.450797i
$143$	0.198409	+	0.278627i	0.0165918	+	0.0233000i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	−0.182777	−	0.753417i	−0.0151788	−	0.0625679i
$146$	−1.38081	−	2.14858i	−0.114276	−	0.177818i
$147$	−5.58356	−	4.22183i	−0.460524	−	0.348211i
$148$	0.0989077	+	0.336849i	0.00813016	+	0.0276888i
$149$	−1.44956	+	7.52104i	−0.118753	+	0.616148i	0.872972	+	0.487769i	$0.162189\pi$
$149$	−1.44956	+	7.52104i	−0.118753	+	0.616148i	−0.991725	+	0.128378i	$0.959023\pi$
$150$	4.71161	−	1.63070i	0.384701	−	0.133146i
$151$	3.31899	−	13.6810i	0.270095	−	1.11335i	−0.661528	−	0.749921i	$-0.730092\pi$
$151$	3.31899	−	13.6810i	0.270095	−	1.11335i	0.931623	−	0.363427i	$-0.118393\pi$
$152$	2.18680	−	3.07093i	0.177373	−	0.249085i
$153$	5.95295	−	3.82573i	0.481267	−	0.309292i
$154$	1.74771	+	7.68213i	0.140835	+	0.619044i
$155$	−0.357558	+	0.0514091i	−0.0287198	+	0.00412928i
$156$	−0.114348	+	0.0109189i	−0.00915520	+	0.000874215i
$157$	−11.0750	−	8.70949i	−0.883883	−	0.695093i	0.0692647	−	0.997598i	$-0.477935\pi$
$157$	−11.0750	−	8.70949i	−0.883883	−	0.695093i	−0.953148	+	0.302505i	$0.902177\pi$
$158$	−2.84143	−	5.51160i	−0.226052	−	0.438479i
$159$	3.50734	−	10.1338i	0.278150	−	0.803662i
$160$	−0.119075			−0.00941367
$161$	−0.753285	−	12.6662i	−0.0593671	−	0.998236i
$162$	−1.00000			−0.0785674
$163$	−3.99698	+	11.5485i	−0.313068	+	0.904549i	0.673210	+	0.739452i	$0.264915\pi$
$163$	−3.99698	+	11.5485i	−0.313068	+	0.904549i	−0.986277	+	0.165098i	$0.947206\pi$
$164$	−1.49833	−	2.90635i	−0.117000	−	0.226948i
$165$	0.278716	+	0.219185i	0.0216980	+	0.0170635i
$166$	−15.5674	+	1.48650i	−1.20826	+	0.115375i
$167$	−16.0889	+	2.31323i	−1.24500	+	0.179003i	−0.733146	−	0.680071i	$-0.761949\pi$
$167$	−16.0889	+	2.31323i	−1.24500	+	0.179003i	−0.511850	+	0.859075i	$0.671040\pi$
$168$	−2.52766	−	0.781628i	−0.195013	−	0.0603039i
$169$	10.9252	−	7.02120i	0.840400	−	0.540092i
$170$	0.488759	−	0.686366i	0.0374861	−	0.0526419i
$171$	0.888805	−	3.66371i	0.0679686	−	0.280171i
$172$	11.3635	−	3.93295i	0.866460	−	0.299885i
$173$	1.58260	−	8.21130i	0.120323	−	0.624293i	−0.870832	−	0.491581i	$-0.836419\pi$
$173$	1.58260	−	8.21130i	0.120323	−	0.624293i	0.991155	−	0.132712i	$-0.0423687\pi$
$174$	−1.83430	−	6.24706i	−0.139058	−	0.473589i
$175$	12.0763	−	5.30765i	0.912885	−	0.401221i
$176$	1.60990	+	2.50506i	0.121351	+	0.188826i
$177$	1.36625	+	5.63176i	0.102694	+	0.423309i
$178$	10.5527	+	4.22465i	0.790955	+	0.316651i
$179$	2.11422	+	2.96900i	0.158024	+	0.221914i	0.885996	−	0.463694i	$-0.153476\pi$
$179$	2.11422	+	2.96900i	0.158024	+	0.221914i	−0.727972	+	0.685607i	$0.759537\pi$
$180$	−0.110545	+	0.0442556i	−0.00823954	+	0.00329861i
$181$	−12.3127	−	7.91287i	−0.915193	−	0.588159i	−0.00393393	−	0.999992i	$-0.501252\pi$
$181$	−12.3127	−	7.91287i	−0.915193	−	0.588159i	−0.911259	+	0.411833i	$0.864889\pi$
$182$	−0.299214	+	0.0532418i	−0.0221792	+	0.00394654i
$183$		−	3.88361i		−	0.287084i
$184$	−1.89804	−	4.40425i	−0.139925	−	0.324686i
$185$	0.0362029	+	0.0209017i	0.00266169	+	0.00153673i
$186$	−2.97886	+	0.574129i	−0.218421	+	0.0420972i
$187$	−21.0477	−	1.00262i	−1.53916	−	0.0733191i
$188$	3.31230	+	0.476238i	0.241575	+	0.0347332i
$189$	−2.63710	+	0.213798i	−0.191821	+	0.0155515i
$190$	−0.0638863	−	0.444339i	−0.00463480	−	0.0322357i
$191$	5.15627	−	1.25090i	0.373095	−	0.0905118i	−0.0448272	−	0.998995i	$-0.514274\pi$
$191$	5.15627	−	1.25090i	0.373095	−	0.0905118i	0.417922	+	0.908483i	$0.362759\pi$
$192$	−0.998867	+	0.0475819i	−0.0720870	+	0.00343393i
$193$	23.3332	+	2.22805i	1.67956	+	0.160378i	0.890822	−	0.454352i	$-0.150129\pi$
$193$	23.3332	+	2.22805i	1.67956	+	0.160378i	0.788737	+	0.614730i	$0.210735\pi$
$194$	−13.7273	−	13.0889i	−0.985562	−	0.939731i
$195$	−0.00895713	+	0.0103371i	−0.000641434	+	0.000740254i
$196$	−6.83280	−	1.52082i	−0.488057	−	0.108630i
$197$	19.4427	−	5.70890i	1.38524	−	0.406742i	0.497648	−	0.867379i	$-0.334197\pi$
$197$	19.4427	−	5.70890i	1.38524	−	0.406742i	0.887589	+	0.460637i	$0.152379\pi$
$198$	2.42562	+	1.72727i	0.172381	+	0.122752i
$199$	−1.26073	−	26.4660i	−0.0893708	−	1.87612i	−0.387871	−	0.921714i	$-0.626789\pi$
$199$	−1.26073	−	26.4660i	−0.0893708	−	1.87612i	0.298500	−	0.954410i	$-0.403514\pi$
$200$	3.60841	−	3.44061i	0.255153	−	0.243288i
$201$	−11.4515	+	9.00556i	−0.807727	+	0.635204i
$202$	12.7285	+	5.81290i	0.895573	+	0.408995i
$203$	−6.17285	−	16.0820i	−0.433249	−	1.12873i
$204$	3.82573	−	5.95295i	0.267854	−	0.416790i
$205$	−0.367940	−	0.127345i	−0.0256981	−	0.00889419i
$206$	−7.50418	+	12.9976i	−0.522841	+	0.905588i
$207$	−3.39898	−	3.38334i	−0.236245	−	0.235158i
$208$	−0.0994791	+	0.0574343i	−0.00689763	+	0.00398235i
$209$	−8.48413	+	7.35154i	−0.586859	+	0.508516i
$210$	−0.282056	+	0.140341i	−0.0194637	+	0.00968442i
$211$	0.453270	−	3.15256i	0.0312044	−	0.217031i	−0.968253	−	0.249973i	$-0.919578\pi$
$211$	0.453270	−	3.15256i	0.0312044	−	0.217031i	0.999457	+	0.0329413i	$0.0104874\pi$
$212$	−1.01934	−	10.6750i	−0.0700086	−	0.733163i
$213$	−5.37186	+	13.4183i	−0.368074	+	0.919404i
$214$	6.05108	+	6.34619i	0.413643	+	0.433817i
$215$	0.656115	−	1.27268i	0.0447467	−	0.0867964i
$216$	−0.909632	+	0.415415i	−0.0618926	+	0.0282654i
$217$	−7.73281	+	2.15091i	−0.524937	+	0.146013i
$218$	−2.09579	−	1.81602i	−0.141945	−	0.122996i
$219$	−2.50787	−	0.483352i	−0.169466	−	0.0326619i
$220$	0.344581	+	0.0835946i	0.0232317	+	0.00563594i
$221$	0.0772656	−	0.809161i	0.00519744	−	0.0544301i
$222$	0.312043	+	0.160869i	0.0209430	+	0.0107968i
$223$	0.851661	−	2.90049i	0.0570314	−	0.194231i	−0.926050	−	0.377401i	$-0.876818\pi$
$223$	0.851661	−	2.90049i	0.0570314	−	0.194231i	0.983081	+	0.183170i	$0.0586359\pi$
$224$	−2.62394	+	0.339034i	−0.175319	+	0.0226526i
$225$	2.07118	−	4.53526i	0.138079	−	0.302351i
$226$	7.78728	+	19.4517i	0.518002	+	1.29391i
$227$	14.6489	−	7.55203i	0.972282	−	0.501246i	0.102527	−	0.994730i	$-0.467307\pi$
$227$	14.6489	−	7.55203i	0.972282	−	0.501246i	0.869755	+	0.493484i	$0.164277\pi$
$228$	−0.713473	−	3.70185i	−0.0472509	−	0.245161i
$229$	−10.3553	−	17.9358i	−0.684295	−	1.18523i	−0.973658	−	0.228014i	$-0.926777\pi$
$229$	−10.3553	−	17.9358i	−0.684295	−	1.18523i	0.289363	−	0.957219i	$-0.406556\pi$
$230$	−0.525471	−	0.223587i	−0.0346486	−	0.0147429i
$231$	6.76588	+	4.03640i	0.445162	+	0.265576i
$232$	−4.26367	−	4.92053i	−0.279923	−	0.323049i
$233$	−0.780836	+	16.3918i	−0.0511542	+	1.07386i	0.816707	+	0.577053i	$0.195797\pi$
$233$	−0.780836	+	16.3918i	−0.0511542	+	1.07386i	−0.867861	+	0.496807i	$0.834506\pi$
$234$	−0.0710070	+	0.0902928i	−0.00464187	+	0.00590262i
$235$	0.324582	−	0.231134i	0.0211734	−	0.0150775i
$236$	3.58230	+	4.55527i	0.233188	+	0.296523i
$237$	−5.94974	−	1.74700i	−0.386477	−	0.113480i
$238$	8.81609	−	16.5164i	0.571462	−	1.07060i
$239$	2.51648	+	5.51032i	0.162777	+	0.356433i	0.973392	−	0.229148i	$-0.0735939\pi$
$239$	2.51648	+	5.51032i	0.162777	+	0.356433i	−0.810614	+	0.585581i	$0.800867\pi$
$240$	−0.0821709	+	0.0861783i	−0.00530411	+	0.00556279i
$241$	1.77457	+	5.12729i	0.114310	+	0.330278i	0.987615	−	0.156896i	$-0.0501489\pi$
$241$	1.77457	+	5.12729i	0.114310	+	0.330278i	−0.873305	+	0.487174i	$0.838028\pi$
$242$	0.697604	+	2.01560i	0.0448437	+	0.129567i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	−1.61331	−	3.53265i	−0.103281	−	0.226155i
$245$	−0.713806	+	0.430395i	−0.0456034	+	0.0274969i
$246$	−3.13738	−	0.921219i	−0.200032	−	0.0587348i
$247$	−0.267695	−	0.340401i	−0.0170330	−	0.0216592i
$248$	−2.47117	+	1.75971i	−0.156919	+	0.111742i
$249$	−9.66688	+	12.2924i	−0.612614	+	0.779002i
$250$	0.0565776	−	1.18771i	0.00357828	−	0.0751174i
$251$	3.88848	+	4.48755i	0.245439	+	0.283252i	0.865080	−	0.501634i	$-0.167267\pi$
$251$	3.88848	+	4.48755i	0.245439	+	0.283252i	−0.619641	+	0.784885i	$0.712722\pi$
$252$	−2.30997	+	1.28997i	−0.145515	+	0.0812603i
$253$	2.40066	+	14.0776i	0.150928	+	0.885054i
$254$	5.10963	+	8.85013i	0.320606	+	0.555307i
$255$	−0.159464	−	0.827378i	−0.00998603	−	0.0518124i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	3.22976	+	8.06754i	0.201467	+	0.503239i	0.994352	−	0.106131i	$-0.0338464\pi$
$257$	3.22976	+	8.06754i	0.201467	+	0.503239i	−0.792885	+	0.609371i	$0.791422\pi$
$258$	4.99531	−	10.9382i	0.310995	−	0.680983i
$259$	0.857282	+	0.357514i	0.0532689	+	0.0222149i
$260$	−0.00385352	+	0.0131239i	−0.000238985	+	0.000813908i
$261$	−5.78703	−	2.98342i	−0.358208	−	0.184669i
$262$	−1.29373	+	13.5486i	−0.0799271	+	0.837035i
$263$	−20.8523	−	5.05871i	−1.28581	−	0.311934i	−0.466108	−	0.884728i	$-0.654344\pi$
$263$	−20.8523	−	5.05871i	−1.28581	−	0.311934i	−0.819699	+	0.572794i	$0.805859\pi$
$264$	2.92395	+	0.563546i	0.179957	+	0.0346839i
$265$	−0.965021	−	0.836195i	−0.0592808	−	0.0513671i
$266$	−2.67294	−	9.60960i	−0.163889	−	0.589202i
$267$	10.3397	−	4.72198i	0.632778	−	0.288980i
$268$	−6.67561	+	12.9489i	−0.407778	+	0.790979i
$269$	−7.91008	−	8.29585i	−0.482286	−	0.505807i	0.436965	−	0.899478i	$-0.356053\pi$
$269$	−7.91008	−	8.29585i	−0.482286	−	0.505807i	−0.919251	+	0.393671i	$0.871205\pi$
$270$	−0.0442556	+	0.110545i	−0.00269331	+	0.00672756i
$271$	−1.20676	−	12.6377i	−0.0733052	−	0.767687i	−0.955145	−	0.296138i	$-0.904301\pi$
$271$	−1.20676	−	12.6377i	−0.0733052	−	0.767687i	0.881840	−	0.471549i	$-0.156305\pi$
$272$	1.00706	−	7.00426i	0.0610620	−	0.424695i
$273$	−0.167948	+	0.253292i	−0.0101647	+	0.0153299i
$274$	−2.12122	+	1.83805i	−0.128148	+	0.111040i
$275$	−12.8575	+	7.42331i	−0.775339	+	0.447642i
$276$	−4.49731	−	1.66561i	−0.270706	−	0.100258i
$277$	8.16335	−	14.1393i	0.490488	−	0.849550i	−0.509452	−	0.860499i	$-0.670152\pi$
$277$	8.16335	−	14.1393i	0.490488	−	0.849550i	0.999940	+	0.0109490i	$0.00348524\pi$
$278$	6.97305	+	2.41339i	0.418216	+	0.144746i
$279$	−1.64013	+	2.55210i	−0.0981923	+	0.152790i
$280$	−0.198268	+	0.244829i	−0.0118488	+	0.0146313i
$281$	−15.6340	−	7.13979i	−0.932644	−	0.425924i	−0.109647	−	0.993971i	$-0.534972\pi$
$281$	−15.6340	−	7.13979i	−0.932644	−	0.425924i	−0.822997	+	0.568046i	$0.807699\pi$
$282$	2.63042	−	2.06859i	0.156639	−	0.123183i
$283$	7.45799	−	7.11118i	0.443331	−	0.422716i	−0.435249	−	0.900310i	$-0.643340\pi$
$283$	7.45799	−	7.11118i	0.443331	−	0.422716i	0.878580	+	0.477595i	$0.158491\pi$
$284$	0.687730	+	14.4372i	0.0408093	+	0.856692i
$285$	−0.365670	−	0.260392i	−0.0216604	−	0.0154243i
$286$	0.328196	−	0.0963671i	0.0194066	−	0.00569831i
$287$	−8.47055	−	1.75858i	−0.500001	−	0.103806i
$288$	−0.654861	+	0.755750i	−0.0385880	+	0.0445330i
$289$	23.9366	+	22.8235i	1.40804	+	1.34256i
$290$	−0.771760	−	0.0736942i	−0.0453193	−	0.00432747i
$291$	−18.9458	+	0.902501i	−1.11062	+	0.0529055i
$292$	−2.48203	+	0.602133i	−0.145250	+	0.0352372i
$293$	−1.54230	−	10.7270i	−0.0901023	−	0.626675i	−0.983969	−	0.178342i	$-0.942927\pi$
$293$	−1.54230	−	10.7270i	−0.0901023	−	0.626675i	0.893866	−	0.448334i	$-0.147982\pi$
$294$	−5.81584	+	3.89564i	−0.339187	+	0.227198i
$295$	0.683027	+	0.0982045i	0.0397674	+	0.00571769i
$296$	0.350672	+	0.0167046i	0.0203824	+	0.000970933i
$297$	2.92395	−	0.563546i	0.169665	−	0.0327003i
$298$	6.63329	+	3.82973i	0.384256	+	0.221850i
$299$	−0.546842	+	0.0666623i	−0.0316247	+	0.00385518i
$300$		−	4.98582i		−	0.287857i
$301$	10.8346	−	29.9131i	0.624494	−	1.72416i
$302$	−11.8431	−	7.61108i	−0.681492	−	0.437968i
$303$	12.9907	−	5.20068i	0.746294	−	0.298771i
$304$	−2.18680	−	3.07093i	−0.125422	−	0.176130i
$305$	−0.429313	−	0.171871i	−0.0245824	−	0.00984131i
$306$	−1.66830	−	6.87681i	−0.0953702	−	0.393121i
$307$	3.95910	+	6.16048i	0.225958	+	0.351597i	0.935659	−	0.352906i	$-0.114806\pi$
$307$	3.95910	+	6.16048i	0.225958	+	0.351597i	−0.709701	+	0.704503i	$0.751170\pi$
$308$	7.83124	+	0.860992i	0.446226	+	0.0490596i
$309$	4.22835	+	14.4004i	0.240542	+	0.819211i
$310$	−0.0683642	+	0.354707i	−0.00388282	+	0.0201460i
$311$	7.09368	−	2.45515i	0.402246	−	0.139219i	−0.118452	−	0.992960i	$-0.537793\pi$
$311$	7.09368	−	2.45515i	0.402246	−	0.139219i	0.520698	+	0.853741i	$0.325672\pi$
$312$	−0.0270813	+	0.111631i	−0.00153318	+	0.00631984i
$313$	−3.64520	+	5.11896i	−0.206039	+	0.289341i	−0.904645	−	0.426165i	$-0.859864\pi$
$313$	−3.64520	+	5.11896i	−0.206039	+	0.289341i	0.698607	+	0.715506i	$0.253804\pi$
$314$	−11.8528	+	7.61731i	−0.668890	+	0.429870i
$315$	−0.0930720	+	0.300980i	−0.00524401	+	0.0169583i
$316$	−6.13781	+	0.882484i	−0.345279	+	0.0496436i
$317$	−16.2711	+	1.55371i	−0.913878	+	0.0872648i	−0.541390	−	0.840772i	$-0.682102\pi$
$317$	−16.2711	+	1.55371i	−0.913878	+	0.0872648i	−0.372489	+	0.928037i	$0.621496\pi$
$318$	−8.42930	−	6.62888i	−0.472692	−	0.371729i
$319$	8.88393	+	17.2324i	0.497405	+	0.964830i
$320$	−0.0389455	+	0.112526i	−0.00217712	+	0.00629037i
$321$	8.76868			0.489420
$322$	−12.2159	−	3.43085i	−0.680768	−	0.191194i
$323$	26.6774			1.48437
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	−0.262433	−	0.509048i	−0.0145571	−	0.0282369i
$326$	9.60607	+	7.55430i	0.532031	+	0.418394i
$327$	−2.76057	+	0.263603i	−0.152660	+	0.0145773i
$328$	−3.23655	+	0.465346i	−0.178709	+	0.0256944i
$329$	6.49442	−	6.01744i	0.358049	−	0.331752i
$330$	0.298289	−	0.191698i	0.0164202	−	0.0105527i
$331$	−11.6082	+	16.3015i	−0.638046	+	0.896011i	−0.999336	−	0.0364430i	$-0.988397\pi$
$331$	−11.6082	+	16.3015i	−0.638046	+	0.896011i	0.361289	+	0.932454i	$0.382337\pi$
$332$	−3.68684	+	15.1974i	−0.202342	+	0.834064i
$333$	0.331761	−	0.114824i	0.0181804	−	0.00629229i
$334$	−3.07615	+	15.9606i	−0.168320	+	0.873325i
$335$	0.488728	+	1.66445i	0.0267020	+	0.0909388i
$336$	−1.56536	+	2.13299i	−0.0853971	+	0.116364i
$337$	9.49988	+	14.7821i	0.517491	+	0.805232i	0.997398	−	0.0720873i	$-0.0229660\pi$
$337$	9.49988	+	14.7821i	0.517491	+	0.805232i	−0.479907	+	0.877319i	$0.659330\pi$
$338$	−3.06176	−	12.6207i	−0.166538	−	0.686477i
$339$	19.4517	+	7.78728i	1.05647	+	0.422947i
$340$	−0.488759	−	0.686366i	−0.0265067	−	0.0372234i
$341$	8.38651	−	3.35745i	0.454155	−	0.181816i
$342$	−3.17151	−	2.03820i	−0.171495	−	0.110213i
$343$	−14.5041	+	11.5166i	−0.783146	+	0.621838i
$344$		−	12.0249i		−	0.648338i
$345$	−0.524435	+	0.226008i	−0.0282346	+	0.0121679i
$346$	−7.24206	−	4.18121i	−0.389336	−	0.224783i
$347$	19.7790	−	3.81209i	1.06179	−	0.204644i	0.371691	−	0.928356i	$-0.378778\pi$
$347$	19.7790	−	3.81209i	1.06179	−	0.204644i	0.690101	+	0.723713i	$0.257566\pi$
$348$	−6.50342	−	0.309796i	−0.348620	−	0.0166068i
$349$	27.8148	+	3.99917i	1.48889	+	0.214071i	0.838239	−	0.545303i	$-0.183585\pi$
$349$	27.8148	+	3.99917i	1.48889	+	0.214071i	0.650655	+	0.759374i	$0.274494\pi$
$350$	−1.06596	−	13.1481i	−0.0569778	−	0.702796i
$351$	0.0163475	+	0.113699i	0.000872565	+	0.00606882i
$352$	2.89383	−	0.702035i	0.154242	−	0.0374186i
$353$	16.1206	−	0.767919i	0.858013	−	0.0408722i	0.386037	−	0.922483i	$-0.373844\pi$
$353$	16.1206	−	0.767919i	0.858013	−	0.0408722i	0.471976	+	0.881611i	$0.343541\pi$
$354$	5.76887	+	0.550861i	0.306612	+	0.0292779i
$355$	1.24559	+	1.18767i	0.0661089	+	0.0630347i
$356$	7.44373	−	8.59052i	0.394517	−	0.455297i
$357$	−5.86971	−	17.7782i	−0.310658	−	0.940920i
$358$	3.49720	−	1.02687i	0.184833	−	0.0542718i
$359$	30.1532	+	21.4720i	1.59142	+	1.13325i	0.919822	+	0.392335i	$0.128333\pi$
$359$	30.1532	+	21.4720i	1.59142	+	1.13325i	0.671602	+	0.740912i	$0.265607\pi$
$360$	0.00566580	+	0.118940i	0.000298614	+	0.00626867i
$361$	−3.46472	+	3.30361i	−0.182354	+	0.173874i
$362$	−11.5047	+	9.04743i	−0.604676	+	0.475522i
$363$	1.94016	+	0.886040i	0.101832	+	0.0465050i
$364$	−0.0475497	+	0.300171i	−0.00249228	+	0.0157332i
$365$	−0.164419	+	0.255841i	−0.00860609	+	0.0133913i
$366$	−3.67001	−	1.27020i	−0.191835	−	0.0663946i
$367$	−11.4318	+	19.8005i	−0.596736	+	1.03358i	0.396564	+	0.918007i	$0.370203\pi$
$367$	−11.4318	+	19.8005i	−0.596736	+	1.03358i	−0.993299	+	0.115569i	$0.963131\pi$
$368$	−4.78281	+	0.353160i	−0.249321	+	0.0184097i
$369$	−2.83176	+	1.63492i	−0.147416	+	0.0851104i
$370$	0.0315929	−	0.0273754i	0.00164244	−	0.00142318i
$371$	−23.6461	−	15.6788i	−1.22765	−	0.814005i
$372$	−0.431739	+	3.00281i	−0.0223846	+	0.155688i
$373$	−0.788036	−	8.25269i	−0.0408030	−	0.427308i	−0.992675	−	0.120813i	$-0.961450\pi$
$373$	−0.788036	−	8.25269i	−0.0408030	−	0.427308i	0.951872	−	0.306495i	$-0.0991562\pi$
$374$	−7.83149	+	19.5621i	−0.404957	+	1.01153i
$375$	−0.820544	−	0.860561i	−0.0423727	−	0.0444392i
$376$	1.53339	−	2.97437i	0.0790787	−	0.153391i
$377$	−0.680301	+	0.310683i	−0.0350373	+	0.0160010i
$378$	−0.660472	+	2.56199i	−0.0339710	+	0.131774i
$379$	3.17684	+	2.75275i	0.163183	+	0.141399i	0.732625	−	0.680633i	$-0.238295\pi$
$379$	3.17684	+	2.75275i	0.163183	+	0.141399i	−0.569441	+	0.822032i	$0.692840\pi$
$380$	−0.440796	−	0.0849565i	−0.0226124	−	0.00435817i
$381$	9.93119	+	2.40928i	0.508790	+	0.123431i
$382$	0.504352	−	5.28181i	0.0258049	−	0.270241i
$383$	−20.6161	−	10.6283i	−1.05343	−	0.543082i	−0.157613	−	0.987501i	$-0.550380\pi$
$383$	−20.6161	−	10.6283i	−1.05343	−	0.543082i	−0.895819	+	0.444419i	$0.853410\pi$
$384$	−0.281733	+	0.959493i	−0.0143771	+	0.0489639i
$385$	0.745632	−	0.569301i	0.0380009	−	0.0290143i
$386$	9.73705	−	21.3212i	0.495603	−	1.08522i
$387$	−4.46919	−	11.1635i	−0.227182	−	0.567473i
$388$	−16.8588	+	8.69132i	−0.855877	+	0.441235i
$389$	−2.38064	−	12.3519i	−0.120703	−	0.626268i	−0.991013	−	0.133764i	$-0.957294\pi$
$389$	−2.38064	−	12.3519i	−0.120703	−	0.626268i	0.870310	−	0.492504i	$-0.163918\pi$
$390$	0.00683896	+	0.0118454i	0.000346304	+	0.000599817i
$391$	17.5961	−	29.0185i	0.889872	−	1.46753i
$392$	−3.67197	+	5.95959i	−0.185462	+	0.301005i
$393$	8.91280	+	10.2859i	0.449591	+	0.518856i
$394$	0.964178	−	20.2406i	0.0485746	−	1.01971i
$395$	−0.456432	+	0.580400i	−0.0229656	+	0.0292031i
$396$	2.42562	−	1.72727i	0.121892	−	0.0867988i
$397$	6.07170	+	7.72079i	0.304730	+	0.387495i	0.914166	−	0.405339i	$-0.132847\pi$
$397$	6.07170	+	7.72079i	0.304730	+	0.387495i	−0.609436	+	0.792835i	$0.708604\pi$
$398$	−25.4227	−	7.46478i	−1.27433	−	0.374176i
$399$	−8.79934	−	4.69688i	−0.440518	−	0.235138i
$400$	−2.07118	−	4.53526i	−0.103559	−	0.226763i
$401$	24.4385	−	25.6303i	1.22040	−	1.27992i	0.272199	−	0.962241i	$-0.412249\pi$
$401$	24.4385	−	25.6303i	1.22040	−	1.27992i	0.948199	−	0.317676i	$-0.102903\pi$
$402$	4.76484	+	13.7671i	0.237649	+	0.686641i
$403$	0.113975	+	0.329309i	0.00567750	+	0.0164041i
$404$	9.65628	−	10.1272i	0.480418	−	0.503848i
$405$	0.0494654	+	0.108314i	0.00245795	+	0.00538217i
$406$	−17.2164	+	0.573453i	−0.854436	+	0.0284600i
$407$	−1.00306	−	0.294524i	−0.0497197	−	0.0145990i
$408$	−4.37427	−	5.56233i	−0.216559	−	0.275377i
$409$	−15.8207	+	11.2659i	−0.782285	+	0.557063i	−0.899951	−	0.435990i	$-0.856398\pi$
$409$	−15.8207	+	11.2659i	−0.782285	+	0.557063i	0.117666	+	0.993053i	$0.462459\pi$
$410$	−0.240683	+	0.306053i	−0.0118865	+	0.0151149i
$411$	−0.133552	+	2.80360i	−0.00658762	+	0.138291i
$412$	9.82839	+	11.3426i	0.484210	+	0.558808i
$413$	15.3309	+	0.219302i	0.754382	+	0.0107912i
$414$	−4.30895	+	2.10545i	−0.211773	+	0.103477i
$415$	0.931055	+	1.61263i	0.0457037	+	0.0791611i
$416$	0.0217390	+	0.112793i	0.00106584	+	0.00553012i
$417$	6.55861	−	3.38120i	0.321176	−	0.165578i
$418$	4.17232	+	10.4220i	0.204075	+	0.509755i
$419$	0.258060	−	0.565072i	0.0126070	−	0.0276056i	−0.903224	−	0.429170i	$-0.858806\pi$
$419$	0.258060	−	0.565072i	0.0126070	−	0.0276056i	0.915831	+	0.401564i	$0.131533\pi$
$420$	0.0403703	+	0.312444i	0.00196987	+	0.0152457i
$421$	−3.91735	+	13.3413i	−0.190920	+	0.650214i	0.807276	+	0.590174i	$0.200941\pi$
$421$	−3.91735	+	13.3413i	−0.190920	+	0.650214i	−0.998196	+	0.0600399i	$0.980877\pi$
$422$	−2.83093	−	1.45944i	−0.137807	−	0.0710446i
$423$	0.318092	−	3.33121i	0.0154662	−	0.161969i
$424$	−10.4213	−	2.52818i	−0.506103	−	0.122779i
$425$	34.6435	+	6.67699i	1.68046	+	0.323881i
$426$	10.9233	+	9.46510i	0.529236	+	0.458585i
$427$	−9.94975	−	2.56501i	−0.481502	−	0.124130i
$428$	7.97627	−	3.64264i	0.385548	−	0.176074i
$429$	0.156737	−	0.304028i	0.00756734	−	0.0146786i
$430$	−0.988094	−	1.03628i	−0.0476501	−	0.0499740i
$431$	−0.908149	+	2.26845i	−0.0437440	+	0.109267i	−0.948631	−	0.316385i	$-0.897531\pi$
$431$	−0.908149	+	2.26845i	−0.0437440	+	0.109267i	0.904887	+	0.425652i	$0.139955\pi$
$432$	0.0950560	+	0.995472i	0.00457339	+	0.0478947i
$433$	−3.46738	+	24.1162i	−0.166632	+	1.15895i	0.719153	+	0.694852i	$0.244530\pi$
$433$	−3.46738	+	24.1162i	−0.166632	+	1.15895i	−0.885785	+	0.464097i	$0.846379\pi$
$434$	−0.496544	+	8.01101i	−0.0238349	+	0.384541i
$435$	−0.585910	+	0.507694i	−0.0280923	+	0.0243421i
$436$	−2.40160	+	1.38657i	−0.115016	+	0.0664045i
$437$	−3.88394	−	17.6581i	−0.185794	−	0.844700i
$438$	−1.27701	+	2.21185i	−0.0610179	+	0.105686i
$439$	1.67774	+	0.580670i	0.0800740	+	0.0277139i	0.366811	−	0.930295i	$-0.380449\pi$
$439$	1.67774	+	0.580670i	0.0800740	+	0.0277139i	−0.286737	+	0.958009i	$0.592571\pi$
$440$	0.191698	−	0.298289i	0.00913887	−	0.0142204i
$441$	−1.19398	+	6.89742i	−0.0568563	+	0.328449i
$442$	−0.739387	−	0.337667i	−0.0351691	−	0.0160612i
$443$	−18.8677	+	14.8377i	−0.896432	+	0.704962i	−0.956033	−	0.293260i	$-0.905260\pi$
$443$	−18.8677	+	14.8377i	−0.896432	+	0.704962i	0.0596006	+	0.998222i	$0.481017\pi$
$444$	0.254081	−	0.242266i	0.0120581	−	0.0114974i
$445$	−0.0644025	−	1.35197i	−0.00305297	−	0.0640897i
$446$	−2.46242	−	1.75348i	−0.116599	−	0.0830296i
$447$	7.34920	−	2.15792i	0.347605	−	0.102066i
$448$	−0.537819	+	2.59051i	−0.0254096	+	0.122390i
$449$	−11.1818	+	12.9045i	−0.527703	+	0.609001i	−0.955543	−	0.294853i	$-0.904729\pi$
$449$	−11.1818	+	12.9045i	−0.527703	+	0.609001i	0.427840	+	0.903855i	$0.359275\pi$
$450$	−3.60841	−	3.44061i	−0.170102	−	0.162192i
$451$	9.69272	+	0.925543i	0.456412	+	0.0435821i
$452$	20.9288	−	0.996964i	0.984410	−	0.0468932i
$453$	−13.6810	+	3.31899i	−0.642792	+	0.155940i
$454$	−2.34549	−	16.3133i	−0.110079	−	0.765619i
$455$	0.0205675	+	0.0297754i	0.000964221	+	0.00139589i
$456$	−3.73160	−	0.536523i	−0.174748	−	0.0251250i
$457$	−38.1033	−	1.81508i	−1.78240	−	0.0849060i	−0.869708	−	0.493566i	$-0.835693\pi$
$457$	−38.1033	−	1.81508i	−1.78240	−	0.0849060i	−0.912687	+	0.408660i	$0.865996\pi$
$458$	−20.3362	+	3.91949i	−0.950251	+	0.183146i
$459$	−6.12824	−	3.53814i	−0.286042	−	0.165146i
$460$	−0.383155	+	0.423443i	−0.0178647	+	0.0197431i
$461$			8.07559i			0.376118i	0.982158	+	0.188059i	$0.0602195\pi$
$461$			8.07559i			0.376118i	−0.982158	+	0.188059i	$0.939780\pi$
$462$	6.02731	−	5.07358i	0.280416	−	0.236045i
$463$	9.41509	+	6.05071i	0.437556	+	0.281200i	0.740817	−	0.671707i	$-0.234439\pi$
$463$	9.41509	+	6.05071i	0.437556	+	0.281200i	−0.303260	+	0.952908i	$0.598075\pi$
$464$	−6.04442	+	2.41982i	−0.280605	+	0.112337i
$465$	0.209537	+	0.294253i	0.00971704	+	0.0136457i
$466$	15.2348	+	6.09911i	0.705740	+	0.282536i
$467$	2.99825	+	12.3589i	0.138742	+	0.571904i	0.998160	+	0.0606301i	$0.0193110\pi$
$467$	2.99825	+	12.3589i	0.138742	+	0.571904i	−0.859418	+	0.511274i	$0.829174\pi$
$468$	0.0621026	+	0.0966336i	0.00287069	+	0.00446689i
$469$	15.5087	+	35.2865i	0.716127	+	1.62938i
$470$	−0.112261	−	0.382326i	−0.00517822	−	0.0176354i
$471$	−2.66644	+	13.8348i	−0.122863	+	0.637474i
$472$	5.47639	−	1.89540i	0.252071	−	0.0872427i
$473$	−8.44188	+	34.7979i	−0.388158	+	1.60001i
$474$	−3.59689	+	5.05112i	−0.165211	+	0.232006i
$475$	15.8126	−	10.1621i	0.725530	−	0.466270i
$476$	−12.7246	−	13.7332i	−0.583231	−	0.629461i
$477$	−10.6144	+	1.52612i	−0.486001	+	0.0698764i
$478$	6.03031	−	0.575825i	0.275820	−	0.0263376i
$479$	28.4353	+	22.3618i	1.29924	+	1.02174i	0.997665	+	0.0682935i	$0.0217554\pi$
$479$	28.4353	+	22.3618i	1.29924	+	1.02174i	0.301577	+	0.953442i	$0.402487\pi$
$480$	0.0545631	+	0.105838i	0.00249046	+	0.00483081i
$481$	0.0131896	−	0.0381089i	0.000601395	−	0.00173762i
$482$	5.42570			0.247134
$483$	−10.9130	+	6.47353i	−0.496558	+	0.294556i
$484$	2.13290			0.0969501
$485$	−0.738691	+	2.13431i	−0.0335422	+	0.0969139i
$486$	0.458227	+	0.888835i	0.0207856	+	0.0403184i
$487$	−0.128478	−	0.101036i	−0.00582190	−	0.00457839i	0.615244	−	0.788337i	$-0.289058\pi$
$487$	−0.128478	−	0.101036i	−0.00582190	−	0.00457839i	−0.621066	+	0.783759i	$0.713300\pi$
$488$	−3.86602	+	0.369160i	−0.175007	+	0.0167111i
$489$	12.0962	−	1.73918i	0.547011	−	0.0786483i
$490$	0.173260	+	0.815316i	0.00782711	+	0.0368322i
$491$	26.5726	−	17.0772i	1.19921	−	0.770683i	0.220387	−	0.975412i	$-0.429268\pi$
$491$	26.5726	−	17.0772i	1.19921	−	0.770683i	0.978819	+	0.204730i	$0.0656315\pi$
$492$	−1.89669	+	2.66353i	−0.0855094	+	0.120081i
$493$	10.8619	−	44.7735i	0.489197	−	2.01650i
$494$	−0.409234	+	0.141637i	−0.0184123	+	0.00637256i
$495$	0.0671040	−	0.348169i	0.00301610	−	0.0156490i
$496$	0.854688	+	2.91080i	0.0383766	+	0.130699i
$497$	30.8295	+	22.6250i	1.38289	+	1.01487i
$498$	8.45464	+	13.1557i	0.378861	+	0.589520i
$499$	−6.26050	−	25.8061i	−0.280258	−	1.15524i	−0.921649	−	0.388026i	$-0.873157\pi$
$499$	−6.26050	−	25.8061i	−0.280258	−	1.15524i	0.641390	−	0.767215i	$-0.278358\pi$
$500$	−1.10388	−	0.441928i	−0.0493671	−	0.0197636i
$501$	9.42844	+	13.2404i	0.421232	+	0.591537i
$502$	5.51253	−	2.20689i	0.246036	−	0.0984981i
$503$	−2.30116	−	1.47886i	−0.102604	−	0.0659393i	0.488333	−	0.872657i	$-0.337605\pi$
$503$	−2.30116	−	1.47886i	−0.102604	−	0.0659393i	−0.590936	+	0.806718i	$0.701242\pi$
$504$	0.463502	+	2.60484i	0.0206460	+	0.116029i
$505$		−	1.66621i		−	0.0741454i
$506$	14.0886	+	2.33572i	0.626313	+	0.103835i
$507$	−11.2469	−	6.49340i	−0.499493	−	0.288382i
$508$	10.0346	−	1.93401i	0.445212	−	0.0858077i
$509$	3.30659	+	0.157512i	0.146562	+	0.00698161i	0.120735	−	0.992685i	$-0.461475\pi$
$509$	3.30659	+	0.157512i	0.146562	+	0.00698161i	0.0258273	+	0.999666i	$0.491778\pi$
$510$	−0.834029	−	0.119915i	−0.0369314	−	0.00530994i
$511$	−2.89471	+	6.10588i	−0.128055	+	0.270108i
$512$	0.142315	+	0.989821i	0.00628949	+	0.0437443i
$513$	−3.66371	+	0.888805i	−0.161757	+	0.0392417i
$514$	8.68018	−	0.413488i	0.382866	−	0.0182382i
$515$	1.77902	+	0.169876i	0.0783931	+	0.00748564i
$516$	−8.70281	−	8.29811i	−0.383120	−	0.365304i
$517$	−6.52549	+	7.53082i	−0.286991	+	0.331205i
$518$	0.618241	−	0.693200i	0.0271639	−	0.0304575i
$519$	−8.02368	+	2.35596i	−0.352200	+	0.103415i
$520$	0.0111417	+	0.00793397i	0.000488596	+	0.000347928i
$521$	1.16104	+	24.3733i	0.0508662	+	1.06781i	0.869637	+	0.493692i	$0.164353\pi$
$521$	1.16104	+	24.3733i	0.0508662	+	1.06781i	−0.818770	+	0.574121i	$0.805344\pi$
$522$	−4.71209	+	4.49297i	−0.206242	+	0.196652i
$523$	−3.71543	+	2.92185i	−0.162464	+	0.127763i	−0.696082	−	0.717963i	$-0.745075\pi$
$523$	−3.71543	+	2.92185i	−0.162464	+	0.127763i	0.533617	+	0.845726i	$0.320832\pi$
$524$	12.3803	+	5.65389i	0.540835	+	0.246991i
$525$	−10.2513	−	8.30176i	−0.447404	−	0.362319i
$526$	−11.6006	+	18.0509i	−0.505810	+	0.787056i
$527$	−20.2865	−	7.02124i	−0.883696	−	0.305850i
$528$	1.48888	−	2.57882i	0.0647953	−	0.112229i
$529$	−21.7695	−	7.42225i	−0.946499	−	0.322706i
$530$	−1.10583	+	0.638453i	−0.0480343	+	0.0277326i
$531$	4.37965	−	3.79499i	0.190061	−	0.164689i
$532$	−9.95531	−	0.617057i	−0.431618	−	0.0267528i
$533$	−0.0534536	+	0.371778i	−0.00231533	+	0.0161035i
$534$	−1.08049	−	11.3154i	−0.0467574	−	0.489666i
$535$	0.388063	−	0.969334i	0.0167774	−	0.0419079i
$536$	10.0533	+	10.5436i	0.434237	+	0.455415i
$537$	1.67016	−	3.23966i	0.0720729	−	0.139802i
$538$	−10.4267	+	4.76173i	−0.449528	+	0.205293i
$539$	14.8099	−	14.6682i	0.637907	−	0.631803i
$540$	0.0899906	+	0.0779773i	0.00387258	+	0.00335561i
$541$	28.2134	+	5.43768i	1.21299	+	0.233784i	0.755330	−	0.655345i	$-0.227477\pi$
$541$	28.2134	+	5.43768i	1.21299	+	0.233784i	0.457657	+	0.889129i	$0.348689\pi$
$542$	−12.3373	−	2.99301i	−0.529934	−	0.128561i
$543$	−1.39125	+	14.5698i	−0.0597042	+	0.625251i
$544$	−6.28965	−	3.24254i	−0.269667	−	0.139023i
$545$	−0.0930308	+	0.316834i	−0.00398500	+	0.0135717i
$546$	0.184431	+	0.241555i	0.00789291	+	0.0103376i
$547$	0.427382	−	0.935837i	0.0182736	−	0.0400135i	−0.900275	−	0.435321i	$-0.856635\pi$
$547$	0.427382	−	0.935837i	0.0182736	−	0.0400135i	0.918549	+	0.395308i	$0.129362\pi$
$548$	1.04317	+	2.60572i	0.0445621	+	0.111311i
$549$	−3.45189	+	1.77957i	−0.147323	+	0.0759503i
$550$	2.80974	+	14.5783i	0.119808	+	0.621622i
$551$	−12.2728	−	21.2571i	−0.522838	−	0.905582i
$552$	−3.04492	+	3.70519i	−0.129601	+	0.157703i
$553$	−8.40543	+	14.0893i	−0.357435	+	0.599139i
$554$	−10.6917	−	12.3389i	−0.454247	−	0.524229i
$555$	0.00198909	−	0.0417561i	8.44321e−5	−	0.00177245i
$556$	4.56132	−	5.80019i	0.193443	−	0.245983i
$557$	14.9645	−	10.6562i	0.634067	−	0.451517i	−0.217288	−	0.976108i	$-0.569721\pi$
$557$	14.9645	−	10.6562i	0.634067	−	0.451517i	0.851355	+	0.524591i	$0.175782\pi$
$558$	1.87530	+	2.38464i	0.0793878	+	0.100950i
$559$	−1.32533	−	0.389151i	−0.0560554	−	0.0164593i
$560$	0.166516	+	0.267439i	0.00703660	+	0.0113014i
$561$	8.75343	+	19.1673i	0.369570	+	0.809245i
$562$	−11.8605	+	12.4389i	−0.500304	+	0.524704i
$563$	5.66828	+	16.3774i	0.238889	+	0.690226i	0.999174	+	0.0406355i	$0.0129383\pi$
$563$	5.66828	+	16.3774i	0.238889	+	0.690226i	−0.760285	+	0.649590i	$0.774941\pi$
$564$	−1.09449	−	3.16232i	−0.0460863	−	0.133158i
$565$	1.72169	−	1.80566i	0.0724321	−	0.0759646i
$566$	−4.28080	−	9.37364i	−0.179935	−	0.394004i
$567$	1.39842	+	2.24598i	0.0587281	+	0.0943223i
$568$	13.8681	+	4.07205i	0.581894	+	0.170859i
$569$	16.1097	+	20.4851i	0.675353	+	0.858781i	0.996086	−	0.0883883i	$-0.0281716\pi$
$569$	16.1097	+	20.4851i	0.675353	+	0.858781i	−0.320733	+	0.947170i	$0.603929\pi$
$570$	−0.365670	+	0.260392i	−0.0153162	+	0.0109066i
$571$	11.7981	−	15.0025i	0.493735	−	0.627835i	−0.473782	−	0.880642i	$-0.657111\pi$
$571$	11.7981	−	15.0025i	0.493735	−	0.627835i	0.967517	+	0.252807i	$0.0813539\pi$
$572$	0.0162755	−	0.341664i	0.000680512	−	0.0142857i
$573$	−3.47458	−	4.00988i	−0.145153	−	0.167515i
$574$	−4.43231	+	7.42950i	−0.185001	+	0.310101i
$575$	−0.624150	−	23.9030i	−0.0260288	−	0.996824i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	−0.965422	−	5.00909i	−0.0401911	−	0.208531i	0.956282	−	0.292447i	$-0.0944694\pi$
$577$	−0.965422	−	5.00909i	−0.0401911	−	0.208531i	−0.996473	+	0.0839158i	$0.973257\pi$
$578$	29.3971	−	15.1553i	1.22276	−	0.630376i
$579$	−8.71152	−	21.7603i	−0.362038	−	0.904328i
$580$	−0.322059	+	0.705211i	−0.0133728	+	0.0292823i
$581$	25.1084	+	32.8852i	1.04167	+	1.36431i
$582$	−5.34371	+	18.1990i	−0.221504	+	0.754373i
$583$	28.3826	+	14.6322i	1.17549	+	0.606005i
$584$	−0.242775	+	2.54246i	−0.0100461	+	0.105208i
$585$	0.0132924	+	0.00322469i	0.000549572	+	0.000133325i
$586$	−10.6414	−	2.05096i	−0.439593	−	0.0847246i
$587$	−13.2333	−	11.4667i	−0.546197	−	0.473283i	0.337510	−	0.941322i	$-0.390415\pi$
$587$	−13.2333	−	11.4667i	−0.546197	−	0.473283i	−0.883708	+	0.468039i	$0.844961\pi$
$588$	1.77921	+	6.77011i	0.0733733	+	0.279195i
$589$	−10.4034	+	4.75107i	−0.428664	+	0.195764i
$590$	0.316200	−	0.613342i	0.0130177	−	0.0252509i
$591$	−13.9834	−	14.6654i	−0.575202	−	0.603255i
$592$	0.130479	−	0.325922i	0.00536267	−	0.0133953i
$593$	1.86801	+	19.5627i	0.0767101	+	0.803345i	0.949192	+	0.314698i	$0.101903\pi$
$593$	1.86801	+	19.5627i	0.0767101	+	0.803345i	−0.872482	+	0.488647i	$0.837491\pi$
$594$	0.423780	−	2.94746i	0.0173879	−	0.120936i
$595$	−2.22505	−	0.137915i	−0.0912183	−	0.00565396i
$596$	5.78863	−	5.01588i	0.237112	−	0.205458i
$597$	−22.9462	+	13.2480i	−0.939125	+	0.542204i
$598$	−0.115859	+	0.538569i	−0.00473781	+	0.0220237i
$599$	10.8671	−	18.8224i	0.444019	−	0.769063i	−0.553965	−	0.832540i	$-0.686886\pi$
$599$	10.8671	−	18.8224i	0.444019	−	0.769063i	0.997983	+	0.0634773i	$0.0202190\pi$
$600$	−4.71161	−	1.63070i	−0.192350	−	0.0665731i
$601$	−21.7612	+	33.8611i	−0.887659	+	1.38122i	0.0365480	+	0.999332i	$0.488364\pi$
$601$	−21.7612	+	33.8611i	−0.887659	+	1.38122i	−0.924207	+	0.381892i	$0.875273\pi$
$602$	−24.7243	−	20.0223i	−1.00769	−	0.816048i
$603$	13.2518	+	6.05192i	0.539657	+	0.246453i
$604$	−11.0660	+	8.70237i	−0.450267	+	0.354094i
$605$	0.183810	−	0.175263i	0.00747294	−	0.00712544i
$606$	−0.665814	−	13.9772i	−0.0270468	−	0.567783i
$607$	15.1093	+	10.7593i	0.613269	+	0.436707i	0.844024	−	0.536305i	$-0.180180\pi$
$607$	15.1093	+	10.7593i	0.613269	+	0.436707i	−0.230755	+	0.973012i	$0.574120\pi$
$608$	−3.61726	+	1.06212i	−0.146699	+	0.0430748i
$609$	−11.4657	+	12.8558i	−0.464612	+	0.520944i
$610$	−0.302833	+	0.349488i	−0.0122614	+	0.0141504i
$611$	−0.278198	−	0.265261i	−0.0112547	−	0.0107313i
$612$	−7.04424	−	0.672643i	−0.284747	−	0.0271900i
$613$	14.5374	−	0.692501i	0.587159	−	0.0279698i	0.248099	−	0.968735i	$-0.420194\pi$
$613$	14.5374	−	0.692501i	0.587159	−	0.0279698i	0.339060	+	0.940765i	$0.389891\pi$
$614$	7.11656	−	1.72646i	0.287201	−	0.0696742i
$615$	0.0554109	+	0.385391i	0.00223438	+	0.0155405i
$616$	3.37499	−	7.11893i	0.135982	−	0.286830i
$617$	−7.68586	−	1.10506i	−0.309421	−	0.0444881i	−0.0141449	−	0.999900i	$-0.504503\pi$
$617$	−7.68586	−	1.10506i	−0.309421	−	0.0444881i	−0.295276	+	0.955412i	$0.595412\pi$
$618$	14.9914	+	0.714127i	0.603041	+	0.0287264i
$619$	−42.1293	+	8.11976i	−1.69332	+	0.326361i	−0.942515	−	0.334164i	$-0.891546\pi$
$619$	−42.1293	+	8.11976i	−1.69332	+	0.326361i	−0.750805	+	0.660524i	$0.770334\pi$
$620$	0.312839	+	0.180617i	0.0125639	+	0.00725377i
$621$	−1.44973	+	4.57146i	−0.0581756	+	0.183447i
$622$		−	7.50654i		−	0.300985i
$623$	−5.26857	−	29.6089i	−0.211081	−	1.18625i
$624$	0.0966336	+	0.0621026i	0.00386844	+	0.00248609i
$625$	23.0119	−	9.21259i	0.920478	−	0.368504i
$626$	3.64520	+	5.11896i	0.145691	+	0.204595i
$627$	10.4220	+	4.17232i	0.416213	+	0.166627i
$628$	3.32170	+	13.6923i	0.132550	+	0.546380i
$629$	1.34310	+	2.08990i	0.0535527	+	0.0833297i
$630$	0.253985	+	0.186394i	0.0101190	+	0.00742612i
$631$	6.63315	+	22.5904i	0.264062	+	0.899311i	0.979637	+	0.200776i	$0.0643463\pi$
$631$	6.63315	+	22.5904i	0.264062	+	0.899311i	−0.715576	+	0.698535i	$0.753836\pi$
$632$	−1.17353	+	6.08887i	−0.0466806	+	0.242202i
$633$	−3.00981	+	1.04171i	−0.119629	+	0.0414041i
$634$	−3.85352	+	15.8844i	−0.153043	+	0.630850i
$635$	0.705844	−	0.991220i	0.0280106	−	0.0393353i
$636$	−9.02125	+	5.79760i	−0.357716	+	0.229890i
$637$	0.538006	+	0.597573i	0.0213166	+	0.0236767i
$638$	19.1903	−	2.75915i	0.759751	−	0.109236i
$639$	14.3882	−	1.37390i	0.569187	−	0.0543507i
$640$	0.0935990	+	0.0736070i	0.00369982	+	0.00290957i
$641$	−11.9015	−	23.0856i	−0.470080	−	0.911828i	−0.998041	−	0.0625597i	$-0.980074\pi$
$641$	−11.9015	−	23.0856i	−0.470080	−	0.911828i	0.527961	−	0.849269i	$-0.322957\pi$
$642$	2.86795	−	8.28641i	0.113189	−	0.327038i
$643$	−26.4407			−1.04272			−0.521360	−	0.853337i	$-0.674575\pi$
$643$	−26.4407			−1.04272			−0.521360	+	0.853337i	$0.674575\pi$
$644$	−7.23760	+	10.4220i	−0.285201	+	0.410682i
$645$	−1.43186			−0.0563793
$646$	8.72533	−	25.2102i	0.343293	−	0.991881i
$647$	13.5316	+	26.2476i	0.531981	+	1.03190i	0.989748	+	0.142826i	$0.0456191\pi$
$647$	13.5316	+	26.2476i	0.531981	+	1.03190i	−0.457767	+	0.889072i	$0.651351\pi$
$648$	0.786053	+	0.618159i	0.0308791	+	0.0242836i
$649$	−17.1784	+	1.64033i	−0.674310	+	0.0643888i
$650$	−0.566885	+	0.0815057i	−0.0222350	+	0.00319692i
$651$	5.45518	+	5.88759i	0.213805	+	0.230753i
$652$	10.2807	−	6.60697i	0.402621	−	0.258749i
$653$	−13.4247	+	18.8524i	−0.525350	+	0.737751i	−0.988943	−	0.148298i	$-0.952621\pi$
$653$	−13.4247	+	18.8524i	−0.525350	+	0.737751i	0.463593	+	0.886048i	$0.346560\pi$
$654$	−0.653791	+	2.69496i	−0.0255652	+	0.105381i
$655$	1.53150	−	0.530056i	0.0598406	−	0.0207110i
$656$	−0.618821	+	3.21075i	−0.0241609	+	0.125359i
$657$	0.719551	+	2.45056i	0.0280723	+	0.0956056i
$658$	−3.56237	−	8.10535i	−0.138876	−	0.315979i
$659$	−7.42952	−	11.5606i	−0.289413	−	0.450336i	0.665853	−	0.746083i	$-0.268068\pi$
$659$	−7.42952	−	11.5606i	−0.289413	−	0.450336i	−0.955266	+	0.295747i	$0.904431\pi$
$660$	−0.0835946	−	0.344581i	−0.00325391	−	0.0134128i
$661$	−25.6644	−	10.2745i	−0.998230	−	0.399631i	−0.185736	−	0.982600i	$-0.559467\pi$
$661$	−25.6644	−	10.2745i	−0.998230	−	0.399631i	−0.812495	+	0.582969i	$0.801891\pi$
$662$	11.6082	+	16.3015i	0.451167	+	0.633575i
$663$	−0.754617	+	0.302103i	−0.0293069	+	0.0117327i
$664$	13.1557	+	8.45464i	0.510539	+	0.328104i
$665$	−0.908636	+	0.764860i	−0.0352354	+	0.0296600i
$666$		−	0.351069i		−	0.0136037i
$667$	−31.2175	−	0.671094i	−1.20875	−	0.0259849i
$668$	14.0767	+	8.12717i	0.544643	+	0.314450i
$669$	−2.96831	+	0.572095i	−0.114762	+	0.0221185i
$670$	1.73276	+	0.0825414i	0.0669422	+	0.00318885i
$671$	11.4468	+	1.64580i	0.441898	+	0.0635353i
$672$	1.50370	+	2.17690i	0.0580066	+	0.0839756i
$673$	−5.10678	−	35.5184i	−0.196852	−	1.36913i	−0.813349	−	0.581777i	$-0.802358\pi$
$673$	−5.10678	−	35.5184i	−0.196852	−	1.36913i	0.616497	−	0.787357i	$-0.288551\pi$
$674$	17.0762	−	4.14264i	0.657751	−	0.159569i
$675$	−4.98017	+	0.237235i	−0.191687	+	0.00913118i
$676$	−12.9280	−	1.23447i	−0.497231	−	0.0474798i
$677$	9.07009	+	8.64831i	0.348592	+	0.332382i	0.844064	−	0.536242i	$-0.180157\pi$
$677$	9.07009	+	8.64831i	0.348592	+	0.332382i	−0.495473	+	0.868624i	$0.665005\pi$
$678$	13.7210	−	15.8349i	0.526953	−	0.608136i
$679$	−10.2010	+	49.1350i	−0.391478	+	1.88563i
$680$	−0.808474	+	0.237389i	−0.0310036	+	0.00910347i
$681$	−13.4250	−	9.55992i	−0.514448	−	0.366337i
$682$	−0.429837	−	9.02338i	−0.0164593	−	0.345523i
$683$	−29.9003	+	28.5099i	−1.14410	+	1.09090i	−0.149329	+	0.988787i	$0.547711\pi$
$683$	−29.9003	+	28.5099i	−1.14410	+	1.09090i	−0.994773	+	0.102112i	$0.967440\pi$
$684$	−2.96340	+	2.33044i	−0.113308	+	0.0891068i
$685$	0.304013	+	0.138838i	0.0116157	+	0.00530473i
$686$	6.13938	+	17.4731i	0.234403	+	0.667125i
$687$	−11.1969	+	17.4228i	−0.427190	+	0.664721i
$688$	−11.3635	−	3.93295i	−0.433230	−	0.149942i
$689$	−0.615901	+	1.06677i	−0.0234640	+	0.0406408i
$690$	0.0420524	+	0.569511i	0.00160091	+	0.0216809i
$691$	−21.3736	+	12.3400i	−0.813090	+	0.469438i	−0.848028	−	0.529952i	$-0.822210\pi$
$691$	−21.3736	+	12.3400i	−0.813090	+	0.469438i	0.0349380	+	0.999389i	$0.488877\pi$
$692$	−6.31989	+	5.47622i	−0.240246	+	0.208175i
$693$	0.487391	−	7.86334i	0.0185145	−	0.298704i
$694$	2.86665	−	19.9380i	0.108817	−	0.756836i
$695$	−0.0835198	−	0.874658i	−0.00316808	−	0.0331777i
$696$	−2.41982	+	6.04442i	−0.0917230	+	0.229113i
$697$	−15.9672	−	16.7460i	−0.604803	−	0.634299i
$698$	12.8766	−	24.9770i	0.487385	−	0.945395i
$699$	14.9274	−	6.81710i	0.564605	−	0.257847i
$700$	−12.7736	−	3.29299i	−0.482797	−	0.124463i
$701$	7.56520	+	6.55528i	0.285734	+	0.247590i	0.785920	−	0.618328i	$-0.212190\pi$
$701$	7.56520	+	6.55528i	0.285734	+	0.247590i	−0.500186	+	0.865918i	$0.666735\pi$
$702$	0.112793	+	0.0217390i	0.00425709	+	0.000820486i
$703$	1.28622	+	0.312032i	0.0485105	+	0.0117685i
$704$	0.283055	−	2.96428i	0.0106680	−	0.111721i
$705$	−0.354172	−	0.182588i	−0.0133389	−	0.00687667i
$706$	4.54685	−	15.4851i	0.171123	−	0.582791i
$707$	−4.74410	−	36.7168i	−0.178420	−	1.38088i
$708$	2.40738	−	5.27142i	0.0904748	−	0.198112i
$709$	5.64840	+	14.1090i	0.212130	+	0.529876i	0.995826	−	0.0912689i	$-0.0290923\pi$
$709$	5.64840	+	14.1090i	0.212130	+	0.529876i	−0.783696	+	0.621144i	$0.786668\pi$
$710$	1.52974	−	0.788634i	0.0574100	−	0.0295969i
$711$	1.17353	+	6.08887i	0.0440109	+	0.228350i
$712$	−5.68344	−	9.84401i	−0.212996	−	0.368920i
$713$	−1.69393	+	14.4501i	−0.0634383	+	0.541161i
$714$	−18.7202	−	0.267785i	−0.700585	−	0.0100216i
$715$	−0.0266723	−	0.0307814i	−0.000997486	−	0.00115116i
$716$	0.173429	−	3.64071i	0.00648133	−	0.136060i
$717$	3.74465	−	4.76171i	0.139846	−	0.177829i
$718$	30.1532	−	21.4720i	1.12531	−	0.801327i
$719$	18.0814	+	22.9924i	0.674323	+	0.857471i	0.995998	−	0.0893789i	$-0.0284882\pi$
$719$	18.0814	+	22.9924i	0.674323	+	0.857471i	−0.321675	+	0.946850i	$0.604246\pi$
$720$	0.114251	+	0.0335472i	0.00425789	+	0.00125023i
$721$	39.6864	−	1.32190i	1.47800	−	0.0492300i
$722$	1.98871	+	4.35467i	0.0740121	+	0.162064i
$723$	3.74416	−	3.92676i	0.139247	−	0.146038i
$724$	4.78700	+	13.8311i	0.177907	+	0.514029i
$725$	−10.6172	−	30.6763i	−0.394312	−	1.13929i
$726$	1.47187	−	1.54365i	0.0546263	−	0.0572904i
$727$	−17.2544	−	37.7818i	−0.639929	−	1.40125i	−0.900099	−	0.435686i	$-0.856506\pi$
$727$	−17.2544	−	37.7818i	−0.639929	−	1.40125i	0.260170	−	0.965563i	$-0.416221\pi$
$728$	0.268110	+	0.143111i	0.00993680	+	0.00530404i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	0.187994	+	0.239054i	0.00695797	+	0.00884777i
$731$	69.3134	−	49.3578i	2.56365	−	1.82557i
$732$	−2.40069	+	3.05272i	−0.0887319	+	0.112832i
$733$	−0.0999772	+	2.09878i	−0.00369274	+	0.0775202i	−0.999961	−	0.00878597i	$-0.997203\pi$
$733$	−0.0999772	+	2.09878i	−0.00369274	+	0.0775202i	0.996269	+	0.0863062i	$0.0275063\pi$
$734$	14.9725	+	17.2792i	0.552645	+	0.637786i
$735$	0.709635	+	0.437238i	0.0261753	+	0.0161278i
$736$	−1.23057	+	4.63527i	−0.0453593	+	0.170858i
$737$	−21.6906	−	37.5692i	−0.798983	−	1.38388i
$738$	0.618821	+	3.21075i	0.0227791	+	0.118189i
$739$	−13.4390	+	6.92830i	−0.494362	+	0.254862i	−0.687332	−	0.726343i	$-0.741218\pi$
$739$	−13.4390	+	6.92830i	−0.494362	+	0.254862i	0.192970	+	0.981205i	$0.438188\pi$
$740$	−0.0155368	−	0.0388090i	−0.000571143	−	0.00142665i
$741$	−0.179896	+	0.393917i	−0.00660865	+	0.0144709i
$742$	−22.5504	+	17.2176i	−0.827852	+	0.632077i
$743$	−5.44354	+	18.5390i	−0.199704	+	0.680130i	0.797356	+	0.603509i	$0.206231\pi$
$743$	−5.44354	+	18.5390i	−0.199704	+	0.680130i	−0.997060	+	0.0766211i	$0.975587\pi$
$744$	2.69645	+	1.39012i	0.0988566	+	0.0509641i
$745$	0.0866956	−	0.907917i	0.00317628	−	0.0332635i
$746$	−8.05654	−	1.95450i	−0.294971	−	0.0715592i
$747$	15.3556	+	2.95955i	0.561831	+	0.108284i
$748$	15.9248	+	13.7989i	0.582268	+	0.504538i
$749$	5.79146	−	22.4652i	0.211615	−	0.820862i
$750$	−1.08160	+	0.493952i	−0.0394946	+	0.0180366i
$751$	0.304041	−	0.589758i	0.0110946	−	0.0215206i	−0.883223	−	0.468953i	$-0.844631\pi$
$751$	0.304041	−	0.589758i	0.0110946	−	0.0215206i	0.894318	+	0.447433i	$0.147662\pi$
$752$	−2.30926	−	2.42188i	−0.0842099	−	0.0883168i
$753$	2.20689	−	5.51253i	0.0804234	−	0.200888i
$754$	0.0710911	+	0.744499i	0.00258898	+	0.0271131i
$755$	−0.238565	+	1.65926i	−0.00868226	+	0.0603865i
$756$	2.20506	+	1.46209i	0.0801973	+	0.0531757i
$757$	−9.27552	+	8.03729i	−0.337125	+	0.292120i	−0.806927	−	0.590652i	$-0.798871\pi$
$757$	−9.27552	+	8.03729i	−0.337125	+	0.292120i	0.469802	+	0.882772i	$0.344325\pi$
$758$	3.64039	−	2.10178i	0.132225	−	0.0763402i
$759$	11.4127	−	8.58455i	0.414253	−	0.311599i
$760$	−0.224454	+	0.388766i	−0.00814181	+	0.0141020i
$761$	15.0585	+	5.21179i	0.545869	+	0.188927i	0.586064	−	0.810265i	$-0.300677\pi$
$761$	15.0585	+	5.21179i	0.545869	+	0.188927i	−0.0401949	+	0.999192i	$0.512798\pi$
$762$	5.52495	−	8.59698i	0.200148	−	0.311436i
$763$	−1.14793	+	7.24666i	−0.0415580	+	0.262347i
$764$	−4.82636	−	2.20412i	−0.174611	−	0.0797424i
$765$	−0.662333	+	0.520864i	−0.0239467	+	0.0188319i
$766$	−16.7866	+	16.0060i	−0.606526	+	0.578321i
$767$	−0.0316741	−	0.664922i	−0.00114369	−	0.0240089i
$768$	0.814576	+	0.580057i	0.0293935	+	0.0209310i
$769$	−5.18933	+	1.52372i	−0.187132	+	0.0549469i	−0.373956	−	0.927447i	$-0.621999\pi$
$769$	−5.18933	+	1.52372i	−0.187132	+	0.0549469i	0.186824	+	0.982393i	$0.440181\pi$
$770$	−0.294118	−	0.890823i	−0.0105993	−	0.0321030i
$771$	5.69076	−	6.56748i	0.204948	−	0.236522i
$772$	−16.9638	−	16.1750i	−0.610542	−	0.582150i
$773$	11.7543	+	1.12240i	0.422772	+	0.0403698i	0.304274	−	0.952584i	$-0.401586\pi$
$773$	11.7543	+	1.12240i	0.422772	+	0.0403698i	0.118498	+	0.992954i	$0.462192\pi$
$774$	−12.0113	+	0.572166i	−0.431736	+	0.0205661i
$775$	−14.6991	+	3.56595i	−0.528006	+	0.128093i
$776$	2.69933	+	18.7742i	0.0969003	+	0.673956i
$777$	−0.0750578	−	0.925805i	−0.00269268	−	0.0332131i
$778$	−12.4512	−	1.79021i	−0.446398	−	0.0641823i
$779$	−12.3132	−	0.586552i	−0.441168	−	0.0210154i
$780$	0.0134307	−	0.00258856i	0.000480898	−	9.26855e-5i
$781$	−37.2733	−	21.5197i	−1.33374	−	0.770037i
$782$	−21.6674	−	26.1193i	−0.774825	−	0.934025i
$783$			6.51080i			0.232677i
$784$	4.43083	+	5.41920i	0.158244	+	0.193543i
$785$	1.41136	+	0.907028i	0.0503737	+	0.0323732i
$786$	12.6353	−	5.05841i	0.450686	−	0.180427i
$787$	−19.6683	−	27.6202i	−0.701099	−	0.984555i	−0.999546	−	0.0301292i	$-0.990408\pi$
$787$	−19.6683	−	27.6202i	−0.701099	−	0.984555i	0.298447	−	0.954426i	$-0.403531\pi$
$788$	−18.8120	−	7.53120i	−0.670151	−	0.268288i
$789$	5.05871	+	20.8523i	0.180095	+	0.742361i
$790$	0.399194	+	0.621159i	0.0142027	+	0.0220998i
$791$	32.7982	−	44.6917i	1.16617	−	1.58905i
$792$	−0.838934	−	2.85715i	−0.0298102	−	0.101524i
$793$	−0.0844258	+	0.438042i	−0.00299805	+	0.0155553i
$794$	9.28201	−	3.21254i	0.329406	−	0.114009i
$795$	−0.301042	+	1.24091i	−0.0106769	+	0.0440106i
$796$	−15.3692	+	21.5830i	−0.544746	+	0.764989i
$797$	−31.4541	+	20.2143i	−1.11416	+	0.716029i	−0.962196	−	0.272357i	$-0.912197\pi$
$797$	−31.4541	+	20.2143i	−1.11416	+	0.716029i	−0.151966	+	0.988386i	$0.548560\pi$
$798$	−7.31654	+	6.77918i	−0.259003	+	0.239980i
$799$	23.4388	−	3.36999i	0.829205	−	0.119222i
$800$	−4.96325	+	0.473932i	−0.175477	+	0.0167560i
$801$	−8.93498	−	7.02654i	−0.315702	−	0.248271i
$802$	−16.2276	−	31.4772i	−0.573018	−	1.11150i
$803$	2.48744	−	7.18699i	0.0877800	−	0.253624i
$804$	14.5684			0.513787
$805$	0.232657	+	1.49287i	0.00820007	+	0.0526166i
$806$	0.348475			0.0122745
$807$	−3.74904	+	10.8321i	−0.131972	+	0.381309i
$808$	−6.41197	−	12.4375i	−0.225572	−	0.437549i
$809$	7.86966	+	6.18877i	0.276683	+	0.217586i	0.746851	−	0.664991i	$-0.231565\pi$
$809$	7.86966	+	6.18877i	0.276683	+	0.217586i	−0.470169	+	0.882576i	$0.655807\pi$
$810$	0.118535	−	0.0113188i	0.00416491	−	0.000397701i
$811$	−17.6228	+	2.53378i	−0.618821	+	0.0889730i	−0.444594	−	0.895732i	$-0.646652\pi$
$811$	−17.6228	+	2.53378i	−0.618821	+	0.0889730i	−0.174227	+	0.984705i	$0.555743\pi$
$812$	−5.08902	+	16.4571i	−0.178590	+	0.577530i
$813$	−10.6799	+	6.86354i	−0.374560	+	0.240715i
$814$	−0.606393	+	0.851560i	−0.0212541	+	0.0298472i
$815$	0.343069	−	1.41415i	0.0120172	−	0.0495355i
$816$	−6.68709	+	2.31443i	−0.234095	+	0.0810211i
$817$	8.57942	−	44.5142i	0.300156	−	1.55736i
$818$	5.47183	+	18.6353i	0.191318	+	0.651569i
$819$	0.302093	+	0.0332131i	0.0105560	+	0.00116056i
$820$	0.210501	+	0.327546i	0.00735101	+	0.0114384i
$821$	−2.64066	−	10.8849i	−0.0921596	−	0.379887i	0.906989	−	0.421155i	$-0.138375\pi$
$821$	−2.64066	−	10.8849i	−0.0921596	−	0.379887i	−0.999148	+	0.0412683i	$0.986860\pi$
$822$	2.60572	+	1.04317i	0.0908849	+	0.0363848i
$823$	−9.61769	−	13.5062i	−0.335251	−	0.470795i	0.612196	−	0.790706i	$-0.290286\pi$
$823$	−9.61769	−	13.5062i	−0.335251	−	0.470795i	−0.947448	+	0.319911i	$0.896347\pi$
$824$	13.9333	−	5.57805i	0.485389	−	0.194320i
$825$	12.4898	+	8.02669i	0.434838	+	0.279453i
$826$	5.22147	−	14.4159i	0.181678	−	0.501595i
$827$		−	29.0879i		−	1.01148i	−0.862685	−	0.505742i	$-0.831219\pi$
$827$		−	29.0879i		−	1.01148i	0.862685	−	0.505742i	$-0.168781\pi$
$828$	0.580336	+	4.76059i	0.0201681	+	0.165442i
$829$	43.9913	+	25.3984i	1.52788	+	0.882122i	0.999451	+	0.0331453i	$0.0105524\pi$
$829$	43.9913	+	25.3984i	1.52788	+	0.882122i	0.528430	+	0.848977i	$0.322781\pi$
$830$	1.82846	−	0.352407i	0.0634668	−	0.0122322i
$831$	−16.3082	−	0.776855i	−0.565725	−	0.0269488i
$832$	0.113699	+	0.0163475i	0.00394181	+	0.000566747i
$833$	−49.4242	+	3.29615i	−1.71245	+	0.114205i
$834$	−1.05012	−	7.30377i	−0.0363628	−	0.252909i
$835$	1.88092	−	0.456306i	0.0650919	−	0.0157911i
$836$	11.2134	−	0.534160i	0.387823	−	0.0184743i
$837$	3.01995	+	0.288370i	0.104385	+	0.00996753i
$838$	−0.449590	−	0.428683i	−0.0155308	−	0.0148086i
$839$	−34.9504	+	40.3349i	−1.20662	+	1.39251i	−0.309400	+	0.950932i	$0.600128\pi$
$839$	−34.9504	+	40.3349i	−1.20662	+	1.39251i	−0.897221	+	0.441583i	$0.854417\pi$
$840$	0.308464	+	0.0640406i	0.0106430	+	0.00220961i
$841$	−12.8481	+	3.77254i	−0.443037	+	0.130087i
$842$	11.3263	+	8.06541i	0.390329	+	0.277952i
$843$	0.817796	+	17.1677i	0.0281664	+	0.591286i
$844$	−2.30508	+	2.19789i	−0.0793441	+	0.0756545i
$845$	−1.21555	+	0.955920i	−0.0418162	+	0.0328847i
$846$	−3.04396	−	1.39013i	−0.104654	−	0.0477937i
$847$	3.55144	−	4.38545i	0.122029	−	0.150686i
$848$	−5.79760	+	9.02125i	−0.199091	+	0.309791i
$849$	−9.73811	−	3.37039i	−0.334211	−	0.115672i
$850$	17.6405	−	30.5543i	0.605065	−	1.04800i
$851$	1.18779	−	1.19328i	0.0407168	−	0.0409050i
$852$	12.5172	−	7.22680i	0.428832	−	0.247586i
$853$	18.2336	−	15.7995i	0.624305	−	0.540964i	−0.284238	−	0.958754i	$-0.591741\pi$
$853$	18.2336	−	15.7995i	0.624305	−	0.540964i	0.908544	+	0.417790i	$0.137195\pi$
$854$	−5.67818	+	8.56359i	−0.194303	+	0.293040i
$855$	−0.0638863	+	0.444339i	−0.00218487	+	0.0151961i
$856$	−0.833516	−	8.72897i	−0.0284890	−	0.298350i
$857$	−12.7552	+	31.8611i	−0.435711	+	1.08835i	0.534301	+	0.845294i	$0.320575\pi$
$857$	−12.7552	+	31.8611i	−0.435711	+	1.08835i	−0.970012	+	0.243059i	$0.921849\pi$
$858$	−0.236043	−	0.247554i	−0.00805837	−	0.00845137i
$859$	16.0376	−	31.1085i	0.547194	−	1.06141i	−0.439412	−	0.898286i	$-0.644813\pi$
$859$	16.0376	−	31.1085i	0.547194	−	1.06141i	0.986606	−	0.163123i	$-0.0521567\pi$
$860$	−1.30246	+	0.594815i	−0.0444136	+	0.0202830i
$861$	2.31834	+	8.33475i	0.0790089	+	0.284048i
$862$	1.84666	+	1.60014i	0.0628974	+	0.0545009i
$863$	−3.37667	−	0.650799i	−0.114943	−	0.0221535i	0.131455	−	0.991322i	$-0.458035\pi$
$863$	−3.37667	−	0.650799i	−0.114943	−	0.0221535i	−0.246398	+	0.969169i	$0.579247\pi$
$864$	0.971812	+	0.235759i	0.0330617	+	0.00802068i
$865$	−0.0946522	+	0.991242i	−0.00321827	+	0.0337033i
$866$	21.6557	+	11.1643i	0.735891	+	0.379378i
$867$	9.31796	−	31.7340i	0.316454	−	1.07774i
$868$	7.40800	+	3.08938i	0.251444	+	0.104860i
$869$	7.67060	−	16.7963i	0.260207	−	0.569774i
$870$	0.288139	+	0.719736i	0.00976883	+	0.0244013i
$871$	1.48742	−	0.766818i	0.0503993	−	0.0259826i
$872$	0.524819	+	2.72302i	0.0177726	+	0.0922130i
$873$	9.48365	+	16.4262i	0.320973	+	0.555942i
$874$	−17.9572	−	2.10506i	−0.607411	−	0.0712047i
$875$	−2.74669	+	1.53385i	−0.0928552	+	0.0518535i
$876$	1.67253	+	1.93020i	0.0565095	+	0.0652154i
$877$	1.06538	−	22.3651i	0.0359754	−	0.755217i	−0.906754	−	0.421659i	$-0.861448\pi$
$877$	1.06538	−	22.3651i	0.0359754	−	0.755217i	0.942730	−	0.333557i	$-0.108249\pi$
$878$	1.09747	−	1.39554i	0.0370377	−	0.0470973i
$879$	−8.82777	+	6.28623i	−0.297753	+	0.212029i
$880$	−0.219185	−	0.278716i	−0.00738871	−	0.00939551i
$881$	2.69311	+	0.790769i	0.0907333	+	0.0266417i	0.326784	−	0.945099i	$-0.394035\pi$
$881$	2.69311	+	0.790769i	0.0907333	+	0.0266417i	−0.236051	+	0.971741i	$0.575853\pi$
$882$	6.12755	+	3.38424i	0.206325	+	0.113953i
$883$	13.5487	+	29.6674i	0.455949	+	0.998389i	0.988392	+	0.151923i	$0.0485467\pi$
$883$	13.5487	+	29.6674i	0.455949	+	0.998389i	−0.532443	+	0.846466i	$0.678726\pi$
$884$	−0.560925	+	0.588281i	−0.0188660	+	0.0197860i
$885$	−0.225694	−	0.652099i	−0.00758660	−	0.0219201i
$886$	7.85064	+	22.6829i	0.263748	+	0.762049i
$887$	−0.0133571	+	0.0140086i	−0.000448489	+	0.000470362i	−0.723958	−	0.689844i	$-0.757679\pi$
$887$	−0.0133571	+	0.0140086i	−0.000448489	+	0.000470362i	0.723510	+	0.690314i	$0.242528\pi$
$888$	−0.145840	−	0.319344i	−0.00489405	−	0.0107165i
$889$	12.7318	−	23.8523i	0.427011	−	0.799981i
$890$	−1.29868	−	0.381327i	−0.0435319	−	0.0127821i
$891$	−1.84073	−	2.34068i	−0.0616669	−	0.0784158i
$892$	−2.46242	+	1.75348i	−0.0824478	+	0.0587108i
$893$	7.79852	−	9.91662i	0.260967	−	0.331847i
$894$	0.364452	−	7.65078i	0.0121891	−	0.255881i
$895$	−0.284215	−	0.328001i	−0.00950025	−	0.0109639i
$896$	2.27213	+	1.35551i	0.0759066	+	0.0452845i
$897$	0.309829	+	0.455506i	0.0103449	+	0.0152089i
$898$	8.53755	+	14.7875i	0.284902	+	0.493465i
$899$	3.73804	+	19.3948i	0.124671	+	0.646852i
$900$	−4.43157	+	2.28464i	−0.147719	+	0.0761545i
$901$	−28.2029	−	70.4474i	−0.939574	−	2.34694i
$902$	4.04482	−	8.85691i	0.134678	−	0.294903i
$903$	−31.5525	+	4.07684i	−1.05000	+	0.135669i
$904$	5.90302	−	20.1038i	0.196332	−	0.668644i
$905$	1.54905	+	0.798591i	0.0514922	+	0.0265461i
$906$	−1.33819	+	14.0141i	−0.0444583	+	0.465588i
$907$	8.41854	+	2.04232i	0.279533	+	0.0678140i	0.373074	−	0.927801i	$-0.378304\pi$
$907$	8.41854	+	2.04232i	0.279533	+	0.0678140i	−0.0935414	+	0.995615i	$0.529819\pi$
$908$	−16.1832	−	3.11905i	−0.537057	−	0.103509i
$909$	−10.5752	−	9.16347i	−0.350758	−	0.303933i
$910$	0.0348648	−	0.00969776i	0.00115576	−	0.000321478i
$911$	33.6249	−	15.3560i	1.11404	−	0.508766i	0.228602	−	0.973520i	$-0.426585\pi$
$911$	33.6249	−	15.3560i	1.11404	−	0.508766i	0.885440	+	0.464754i	$0.153857\pi$
$912$	−1.72750	+	3.35089i	−0.0572033	+	0.110959i
$913$	−32.1348	−	33.7020i	−1.06351	−	1.11537i
$914$	−14.1776	+	35.4140i	−0.468954	+	1.17139i
$915$	0.0439576	+	0.460345i	0.00145319	+	0.0152185i
$916$	−2.94741	+	20.4997i	−0.0973853	+	0.677330i
$917$	32.2390	−	16.0409i	1.06463	−	0.529718i
$918$	−5.34790	+	4.63398i	−0.176507	+	0.152944i
$919$	−25.0595	+	14.4681i	−0.826637	+	0.477259i	−0.852700	−	0.522401i	$-0.825036\pi$
$919$	−25.0595	+	14.4681i	−0.826637	+	0.477259i	0.0260625	+	0.999660i	$0.491703\pi$
$920$	0.274836	+	0.500576i	0.00906107	+	0.0165035i
$921$	3.66149	−	6.34189i	0.120650	−	0.208972i
$922$	7.63144	+	2.64127i	0.251328	+	0.0869854i
$923$	0.897607	−	1.39670i	0.0295451	−	0.0459730i
$924$	−2.82320	−	7.35522i	−0.0928766	−	0.241969i
$925$	1.59219	+	0.727130i	0.0523510	+	0.0239079i
$926$	8.79730	−	6.91827i	0.289097	−	0.227349i
$927$	10.8621	−	10.3570i	0.356757	−	0.340167i
$928$	0.309796	+	6.50342i	0.0101696	+	0.213485i
$929$	26.4598	+	18.8419i	0.868118	+	0.618184i	0.924903	−	0.380202i	$-0.124146\pi$
$929$	26.4598	+	18.8419i	0.868118	+	0.618184i	−0.0567851	+	0.998386i	$0.518085\pi$
$930$	0.346602	−	0.101772i	0.0113655	−	0.00333722i
$931$	−17.8451	+	19.4416i	−0.584848	+	0.637174i
$932$	10.7465	−	12.4021i	0.352013	−	0.406245i
$933$	−5.43274	−	5.18010i	−0.177860	−	0.169589i
$934$	12.6598	+	1.20887i	0.414243	+	0.0395554i
$935$	2.50624	−	0.119387i	0.0819628	−	0.00390437i
$936$	0.111631	−	0.0270813i	0.00364876	−	0.000885179i
$937$	4.79539	+	33.3527i	0.156659	+	1.08958i	0.904736	+	0.425973i	$0.140068\pi$
$937$	4.79539	+	33.3527i	0.156659	+	1.08958i	−0.748077	+	0.663611i	$0.769023\pi$
$938$	38.4182	−	3.11468i	1.25440	−	0.101698i
$939$	6.22024	+	0.894335i	0.202990	+	0.0291855i
$940$	−0.398016	−	0.0189598i	−0.0129818	−	0.000618402i
$941$	−27.4057	+	5.28202i	−0.893402	+	0.172189i	−0.615235	−	0.788344i	$-0.710939\pi$
$941$	−27.4057	+	5.28202i	−0.893402	+	0.172189i	−0.278167	+	0.960533i	$0.589727\pi$
$942$	12.2018	+	7.04470i	0.397556	+	0.229529i
$943$	−8.75968	+	13.0069i	−0.285254	+	0.423564i
$944$		−	5.79511i		−	0.188615i
$945$	0.310170	−	0.0551913i	0.0100898	−	0.00179537i
$946$	30.1230	+	19.3589i	0.979383	+	0.629411i
$947$	−10.8638	+	4.34920i	−0.353025	+	0.141330i	−0.541395	−	0.840768i	$-0.682104\pi$
$947$	−10.8638	+	4.34920i	−0.353025	+	0.141330i	0.188370	+	0.982098i	$0.439680\pi$
$948$	3.59689	+	5.05112i	0.116822	+	0.164053i
$949$	0.272361	+	0.109037i	0.00884122	+	0.00353949i
$950$	−4.43142	−	18.2666i	−0.143774	−	0.592646i
$951$	8.83686	+	13.7504i	0.286555	+	0.445888i
$952$	−17.1397	+	7.53305i	−0.555501	+	0.244148i
$953$	−15.0045	−	51.1008i	−0.486045	−	1.65532i	−0.728418	−	0.685133i	$-0.759744\pi$
$953$	−15.0045	−	51.1008i	−0.486045	−	1.65532i	0.242373	−	0.970183i	$-0.422074\pi$
$954$	−2.02945	+	10.5298i	−0.0657059	+	0.340914i
$955$	−0.597042	+	0.206638i	−0.0193198	+	0.00668666i
$956$	1.42817	−	5.88699i	0.0461902	−	0.190399i
$957$	11.2459	−	15.7927i	0.363529	−	0.510506i
$958$	30.4322	−	19.5576i	0.983219	−	0.631876i
$959$	7.09457	+	2.19385i	0.229096	+	0.0708432i
$960$	0.117863	−	0.0169461i	0.00380400	−	0.000546932i
$961$	−21.6980	+	2.07191i	−0.699937	+	0.0668359i
$962$	−0.0316990	−	0.0249284i	−0.00102202	−	0.000803724i
$963$	−4.01804	−	7.79391i	−0.129480	−	0.251155i
$964$	1.77457	−	5.12729i	0.0571552	−	0.165139i
$965$	−2.79103			−0.0898464
$966$	2.54821	+	12.4301i	0.0819872	+	0.399931i
$967$	28.6282			0.920621			0.460310	−	0.887758i	$-0.347738\pi$
$967$	28.6282			0.920621			0.460310	+	0.887758i	$0.347738\pi$
$968$	0.697604	−	2.01560i	0.0224219	−	0.0647837i
$969$	−12.2243	−	23.7118i	−0.392701	−	0.761734i
$970$	1.77532	+	1.39613i	0.0570021	+	0.0448269i
$971$	20.9095	−	1.99661i	0.671017	−	0.0640744i	0.246014	−	0.969266i	$-0.420879\pi$
$971$	20.9095	−	1.99661i	0.671017	−	0.0640744i	0.425003	+	0.905192i	$0.360273\pi$
$972$	0.989821	−	0.142315i	0.0317485	−	0.00456475i
$973$	−4.33081	−	19.0363i	−0.138839	−	0.610274i
$974$	−0.137500	+	0.0883661i	−0.00440580	+	0.00283143i
$975$	−0.332207	+	0.466519i	−0.0106391	+	0.0149406i
$976$	−0.915595	+	3.77413i	−0.0293075	+	0.120807i
$977$	−23.6947	+	8.20083i	−0.758062	+	0.262368i	−0.678638	−	0.734473i	$-0.737429\pi$
$977$	−23.6947	+	8.20083i	−0.758062	+	0.262368i	−0.0794241	+	0.996841i	$0.525308\pi$
$978$	2.31277	−	11.9998i	0.0739542	−	0.383711i
$979$	9.53607	+	32.4769i	0.304774	+	1.03796i
$980$	0.827142	+	0.102933i	0.0264221	+	0.00328806i
$981$	1.49927	+	2.33291i	0.0478680	+	0.0744840i
$982$	−7.44690	−	30.6966i	−0.237640	−	0.979567i
$983$	−45.0912	−	18.0518i	−1.43819	−	0.575763i	−0.484024	−	0.875055i	$-0.660825\pi$
$983$	−45.0912	−	18.0518i	−1.43819	−	0.575763i	−0.954162	+	0.299292i	$0.903250\pi$
$984$	1.89669	+	2.66353i	0.0604643	+	0.0849102i
$985$	−2.24003	+	0.896774i	−0.0713734	+	0.0285736i
$986$	−38.7584	−	24.9085i	−1.23432	−	0.793249i
$987$	−8.32443	−	3.01512i	−0.264970	−	0.0959723i
$988$			0.433051i			0.0137772i
$989$	−42.7618	−	38.6933i	−1.35975	−	1.23038i
$990$	−0.307072	−	0.177288i	−0.00975939	−	0.00563459i
$991$	−27.5024	+	5.30064i	−0.873641	+	0.168381i	−0.606314	−	0.795225i	$-0.707353\pi$
$991$	−27.5024	+	5.30064i	−0.873641	+	0.168381i	−0.267327	+	0.963606i	$0.586140\pi$
$992$	3.03025	+	0.144349i	0.0962105	+	0.00458307i
$993$	19.8085	+	2.84804i	0.628605	+	0.0903798i
$994$	31.4640	−	21.7339i	0.997977	−	0.689359i
$995$	0.449003	+	3.12289i	0.0142344	+	0.0990021i
$996$	15.1974	−	3.68684i	0.481547	−	0.116822i
$997$	37.0902	−	1.76682i	1.17466	−	0.0559559i	0.548842	−	0.835926i	$-0.315069\pi$
$997$	37.0902	−	1.76682i	1.17466	−	0.0559559i	0.625816	+	0.779970i	$0.284766\pi$
$998$	−26.4344	−	2.52418i	−0.836767	−	0.0799015i
$999$	−0.254081	−	0.242266i	−0.00803876	−	0.00766495i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.493.4	yes	320
7.5	odd	6	inner	966.2.be.a.355.4	yes	320
23.7	odd	22	inner	966.2.be.a.283.4	yes	320
161.145	even	66	inner	966.2.be.a.145.4	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.145.4	✓	320	161.145	even	66	inner
966.2.be.a.283.4	yes	320	23.7	odd	22	inner
966.2.be.a.355.4	yes	320	7.5	odd	6	inner
966.2.be.a.493.4	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)

\(f(q)\)	\(=\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.118535 + 0.0113188i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-2.57983 + 0.586920i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.118535 + 0.0113188i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-2.57983 + 0.586920i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0280729 + 0.115718i) q^{10} +(2.81399 - 0.973932i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.0323622 + 0.110216i) q^{13} +(-0.289140 + 2.62990i) q^{14} +(0.0643766 + 0.100172i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-6.56939 - 2.62999i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-3.49992 + 1.40116i) q^{19} +(0.100172 + 0.0643766i) q^{20} +(1.70382 + 2.02410i) q^{21} -2.97777i q^{22} +(-0.784385 + 4.73125i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-4.89572 + 0.943573i) q^{25} +(0.114738 + 0.00546566i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.39069 + 1.13340i) q^{28} +(0.926583 + 6.44453i) q^{29} +(0.115718 - 0.0280729i) q^{30} +(3.03025 - 0.144349i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(-2.15511 - 2.05489i) q^{33} +(-4.63398 + 5.34790i) q^{34} +(0.299158 - 0.0987713i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-0.285973 - 0.203640i) q^{37} +(0.179383 + 3.76571i) q^{38} +(0.0831343 - 0.0792684i) q^{39} +(0.0935990 - 0.0736070i) q^{40} +(2.97435 + 1.35834i) q^{41} +(2.47004 - 0.948094i) q^{42} +(-6.50114 + 10.1160i) q^{43} +(-2.81399 - 0.973932i) q^{44} +(0.0595373 - 0.103122i) q^{45} +(4.21449 + 2.28869i) q^{46} +(-2.89804 + 1.67318i) q^{47} +(0.755750 - 0.654861i) q^{48} +(6.31105 - 3.02831i) q^{49} +(-0.709556 + 4.93507i) q^{50} +(0.672643 + 7.04424i) q^{51} +(0.0426923 - 0.106640i) q^{52} +(7.40012 + 7.76102i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-0.322534 + 0.147296i) q^{55} +(1.85298 - 1.88851i) q^{56} +(2.84916 + 2.46881i) q^{57} +(6.39314 + 1.23218i) q^{58} +(-5.63176 - 1.36625i) q^{59} +(0.0113188 - 0.118535i) q^{60} +(3.45189 + 1.77957i) q^{61} +(0.854688 - 2.91080i) q^{62} +(1.01836 - 2.44191i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.00508357 - 0.0126981i) q^{65} +(-2.64674 + 1.36449i) q^{66} +(-2.75708 - 14.3051i) q^{67} +(3.53814 + 6.12824i) q^{68} +(4.56473 - 1.47080i) q^{69} +(0.00450609 - 0.315010i) q^{70} +(-9.46510 - 10.9233i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(1.57879 - 2.00760i) q^{73} +(-0.285973 + 0.203640i) q^{74} +(3.08203 + 3.91912i) q^{75} +(3.61726 + 1.06212i) q^{76} +(-6.68800 + 4.16417i) q^{77} +(-0.0477181 - 0.104488i) q^{78} +(4.27913 - 4.48782i) q^{79} +(-0.0389455 - 0.112526i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(2.25645 - 2.36649i) q^{82} +(-6.49634 - 14.2250i) q^{83} +(-0.0880773 - 2.64428i) q^{84} +(0.808474 + 0.237389i) q^{85} +(7.43328 + 9.45219i) q^{86} +(5.30354 - 3.77663i) q^{87} +(-1.84073 + 2.34068i) q^{88} +(-0.540858 + 11.3540i) q^{89} +(-0.0779773 - 0.0899906i) q^{90} +(-0.148177 - 0.265343i) q^{91} +(3.54123 - 3.23414i) q^{92} +(-1.51684 - 2.62725i) q^{93} +(0.633304 + 3.28589i) q^{94} +(0.399006 - 0.205702i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(7.87930 - 17.2533i) q^{97} +(-0.797610 - 6.95441i) q^{98} +(-0.838934 + 2.85715i) 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	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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