LMFDB - Embedded newform 966.2.be.b.493.6

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			493.6
Character	$\chi$	$=$	966.493
Dual form			966.2.be.b.145.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.327068 + 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.84036 - 0.271222i) q^{5} +(0.989821 - 0.142315i) q^{6} +(1.52118 - 2.16472i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(-0.327068 + 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.84036 - 0.271222i) q^{5} +(0.989821 - 0.142315i) q^{6} +(1.52118 - 2.16472i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.672686 + 2.77285i) q^{10} +(-1.07256 + 0.371216i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(1.49045 + 5.07600i) q^{13} +(1.54814 + 2.14552i) q^{14} +(-1.54260 - 2.40033i) q^{15} +(0.235759 + 0.971812i) q^{16} +(4.28925 + 1.71716i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(2.55146 - 1.02145i) q^{19} +(-2.40033 - 1.54260i) q^{20} +(-2.62113 - 0.360143i) q^{21} -1.13498i q^{22} +(-3.52021 - 3.25701i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(3.08445 - 0.594478i) q^{25} +(-5.28431 - 0.251723i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.53387 + 0.761257i) q^{28} +(0.540730 + 3.76086i) q^{29} +(2.77285 - 0.672686i) q^{30} +(10.4119 - 0.495982i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(0.821424 + 0.783226i) q^{33} +(-3.02559 + 3.49172i) q^{34} +(3.73357 - 6.56117i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-7.27963 - 5.18380i) q^{37} +(0.130771 + 2.74521i) q^{38} +(3.82877 - 3.65072i) q^{39} +(2.24283 - 1.76378i) q^{40} +(-10.1857 - 4.65167i) q^{41} +(1.19762 - 2.35917i) q^{42} +(4.86650 - 7.57242i) q^{43} +(1.07256 + 0.371216i) q^{44} +(-1.42664 + 2.47101i) q^{45} +(4.22923 - 2.26134i) q^{46} +(3.97618 - 2.29565i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-2.37204 - 6.58585i) q^{49} +(-0.447041 + 3.10924i) q^{50} +(-0.439178 - 4.59928i) q^{51} +(1.96621 - 4.91134i) q^{52} +(7.80705 + 8.18780i) q^{53} +(-0.458227 + 0.888835i) q^{54} +(-2.94577 + 1.34529i) q^{55} +(0.109358 - 2.64349i) q^{56} +(-2.07705 - 1.79977i) q^{57} +(-3.73087 - 0.719066i) q^{58} +(2.98542 + 0.724255i) q^{59} +(-0.271222 + 2.84036i) q^{60} +(1.62225 + 0.836331i) q^{61} +(-2.93671 + 10.0015i) q^{62} +(0.880961 + 2.49478i) q^{63} +(0.415415 - 0.909632i) q^{64} +(5.61014 + 14.0134i) q^{65} +(-1.00881 + 0.520078i) q^{66} +(1.75895 + 9.12630i) q^{67} +(-2.31010 - 4.00121i) q^{68} +(-1.28189 + 4.62134i) q^{69} +(4.97918 + 5.67418i) q^{70} +(-3.13215 - 3.61470i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(1.35559 - 1.72377i) q^{73} +(7.27963 - 5.18380i) q^{74} +(-1.94177 - 2.46916i) q^{75} +(-2.63700 - 0.774293i) q^{76} +(-0.827970 + 2.88647i) q^{77} +(2.19767 + 4.81222i) q^{78} +(0.943875 - 0.989908i) q^{79} +(0.933217 + 2.69635i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(7.72727 - 8.10412i) q^{82} +(2.72134 + 5.95890i) q^{83} +(1.83772 + 1.90336i) q^{84} +(12.6487 + 3.71401i) q^{85} +(5.56427 + 7.07554i) q^{86} +(3.09501 - 2.20395i) q^{87} +(-0.701598 + 0.892155i) q^{88} +(-0.224155 + 4.70560i) q^{89} +(-1.86850 - 2.15637i) q^{90} +(13.2554 + 4.49509i) q^{91} +(0.753721 + 4.73623i) q^{92} +(-5.21187 - 9.02723i) q^{93} +(0.868908 + 4.50832i) q^{94} +(6.97002 - 3.59330i) q^{95} +(0.371662 + 0.928368i) q^{96} +(5.42323 - 11.8752i) q^{97} +(6.99945 - 0.0875624i) q^{98} +(0.319761 - 1.08901i) 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
$5$	2.84036	−	0.271222i	1.27025	−	0.121294i	0.561928	−	0.827186i	$-0.310060\pi$
$5$	2.84036	−	0.271222i	1.27025	−	0.121294i	0.708320	+	0.705892i	$0.249454\pi$
$6$	0.989821	−	0.142315i	0.404093	−	0.0580998i
$7$	1.52118	−	2.16472i	0.574951	−	0.818188i
$7$	1.52118	−	2.16472i	0.574951	−	0.818188i
$8$	0.841254	−	0.540641i	0.297428	−	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.672686	+	2.77285i	−0.212722	+	0.876853i
$11$	−1.07256	+	0.371216i	−0.323388	+	0.111926i	−0.483939	−	0.875102i	$-0.660794\pi$
$11$	−1.07256	+	0.371216i	−0.323388	+	0.111926i	0.160551	+	0.987028i	$0.448673\pi$
$12$	−0.189251	+	0.981929i	−0.0546321	+	0.283458i
$13$	1.49045	+	5.07600i	0.413376	+	1.40783i	0.858708	+	0.512465i	$0.171267\pi$
$13$	1.49045	+	5.07600i	0.413376	+	1.40783i	−0.445332	+	0.895366i	$0.646914\pi$
$14$	1.54814	+	2.14552i	0.413757	+	0.573416i
$15$	−1.54260	−	2.40033i	−0.398298	−	0.619763i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	4.28925	+	1.71716i	1.04030	+	0.416471i	0.827996	−	0.560733i	$-0.189481\pi$
$17$	4.28925	+	1.71716i	1.04030	+	0.416471i	0.212299	+	0.977205i	$0.431905\pi$
$18$	−0.580057	−	0.814576i	−0.136721	−	0.191997i
$19$	2.55146	−	1.02145i	0.585345	−	0.234337i	−0.0600380	−	0.998196i	$-0.519122\pi$
$19$	2.55146	−	1.02145i	0.585345	−	0.234337i	0.645383	+	0.763859i	$0.276698\pi$
$20$	−2.40033	−	1.54260i	−0.536731	−	0.344936i
$21$	−2.62113	−	0.360143i	−0.571976	−	0.0785896i
$22$		−	1.13498i		−	0.241979i
$23$	−3.52021	−	3.25701i	−0.734015	−	0.679134i
$23$	−3.52021	−	3.25701i	−0.734015	−	0.679134i
$24$	−0.866025	−	0.500000i	−0.176777	−	0.102062i
$25$	3.08445	−	0.594478i	0.616889	−	0.118896i
$26$	−5.28431	−	0.251723i	−1.03634	−	0.0493669i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	−2.53387	+	0.761257i	−0.478856	+	0.143864i
$29$	0.540730	+	3.76086i	0.100411	+	0.698374i	0.976389	+	0.216022i	$0.0693083\pi$
$29$	0.540730	+	3.76086i	0.100411	+	0.698374i	−0.875977	+	0.482352i	$0.839783\pi$
$30$	2.77285	−	0.672686i	0.506251	−	0.122815i
$31$	10.4119	−	0.495982i	1.87004	−	0.0890810i	0.918281	−	0.395929i	$-0.129577\pi$
$31$	10.4119	−	0.495982i	1.87004	−	0.0890810i	0.951759	+	0.306848i	$0.0992742\pi$
$32$	−0.995472	−	0.0950560i	−0.175976	−	0.0168037i
$33$	0.821424	+	0.783226i	0.142992	+	0.136342i
$34$	−3.02559	+	3.49172i	−0.518884	+	0.598824i
$35$	3.73357	−	6.56117i	0.631089	−	1.10904i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	−7.27963	−	5.18380i	−1.19676	−	0.852212i	−0.204809	−	0.978802i	$-0.565657\pi$
$37$	−7.27963	−	5.18380i	−1.19676	−	0.852212i	−0.991955	+	0.126590i	$0.959597\pi$
$38$	0.130771	+	2.74521i	0.0212138	+	0.445332i
$39$	3.82877	−	3.65072i	0.613094	−	0.584584i
$40$	2.24283	−	1.76378i	0.354623	−	0.278878i
$41$	−10.1857	−	4.65167i	−1.59075	−	0.726469i	−0.593803	−	0.804610i	$-0.702374\pi$
$41$	−10.1857	−	4.65167i	−1.59075	−	0.726469i	−0.996942	+	0.0781408i	$0.975102\pi$
$42$	1.19762	−	2.35917i	0.184797	−	0.364028i
$43$	4.86650	−	7.57242i	0.742134	−	1.15478i	−0.240755	−	0.970586i	$-0.577395\pi$
$43$	4.86650	−	7.57242i	0.742134	−	1.15478i	0.982889	−	0.184198i	$-0.0589687\pi$
$44$	1.07256	+	0.371216i	0.161694	+	0.0559629i
$45$	−1.42664	+	2.47101i	−0.212671	+	0.368357i
$46$	4.22923	−	2.26134i	0.623565	−	0.333416i
$47$	3.97618	−	2.29565i	0.579985	−	0.334854i	−0.181142	−	0.983457i	$-0.557980\pi$
$47$	3.97618	−	2.29565i	0.579985	−	0.334854i	0.761127	+	0.648602i	$0.224646\pi$
$48$	0.755750	−	0.654861i	0.109083	−	0.0945210i
$49$	−2.37204	−	6.58585i	−0.338863	−	0.940836i
$50$	−0.447041	+	3.10924i	−0.0632211	+	0.439713i
$51$	−0.439178	−	4.59928i	−0.0614972	−	0.644028i
$52$	1.96621	−	4.91134i	0.272664	−	0.681081i
$53$	7.80705	+	8.18780i	1.07238	+	1.12468i	0.991783	+	0.127934i	$0.0408346\pi$
$53$	7.80705	+	8.18780i	1.07238	+	1.12468i	0.0805983	+	0.996747i	$0.474317\pi$
$54$	−0.458227	+	0.888835i	−0.0623567	+	0.120955i
$55$	−2.94577	+	1.34529i	−0.397207	+	0.181399i
$56$	0.109358	−	2.64349i	0.0146136	−	0.353251i
$57$	−2.07705	−	1.79977i	−0.275112	−	0.238385i
$58$	−3.73087	−	0.719066i	−0.489887	−	0.0944180i
$59$	2.98542	+	0.724255i	0.388669	+	0.0942900i	0.425331	−	0.905038i	$-0.360158\pi$
$59$	2.98542	+	0.724255i	0.388669	+	0.0942900i	−0.0366628	+	0.999328i	$0.511673\pi$
$60$	−0.271222	+	2.84036i	−0.0350146	+	0.366689i
$61$	1.62225	+	0.836331i	0.207708	+	0.107081i	0.558942	−	0.829207i	$-0.311207\pi$
$61$	1.62225	+	0.836331i	0.207708	+	0.107081i	−0.351234	+	0.936288i	$0.614238\pi$
$62$	−2.93671	+	10.0015i	−0.372962	+	1.27019i
$63$	0.880961	+	2.49478i	0.110991	+	0.314312i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	5.61014	+	14.0134i	0.695852	+	1.73815i
$66$	−1.00881	+	0.520078i	−0.124176	+	0.0640172i
$67$	1.75895	+	9.12630i	0.214890	+	1.11496i	0.915778	+	0.401684i	$0.131575\pi$
$67$	1.75895	+	9.12630i	0.214890	+	1.11496i	−0.700888	+	0.713271i	$0.747213\pi$
$68$	−2.31010	−	4.00121i	−0.280141	−	0.485218i
$69$	−1.28189	+	4.62134i	−0.154322	+	0.556344i
$70$	4.97918	+	5.67418i	0.595126	+	0.678194i
$71$	−3.13215	−	3.61470i	−0.371718	−	0.428986i	0.538813	−	0.842425i	$-0.318873\pi$
$71$	−3.13215	−	3.61470i	−0.371718	−	0.428986i	−0.910532	+	0.413439i	$0.864327\pi$
$72$	−0.0475819	+	0.998867i	−0.00560758	+	0.117718i
$73$	1.35559	−	1.72377i	0.158659	−	0.201752i	−0.700224	−	0.713924i	$-0.746916\pi$
$73$	1.35559	−	1.72377i	0.158659	−	0.201752i	0.858883	+	0.512172i	$0.171159\pi$
$74$	7.27963	−	5.18380i	0.846240	−	0.602605i
$75$	−1.94177	−	2.46916i	−0.224216	−	0.285114i
$76$	−2.63700	−	0.774293i	−0.302485	−	0.0888175i
$77$	−0.827970	+	2.88647i	−0.0943560	+	0.328944i
$78$	2.19767	+	4.81222i	0.248837	+	0.544877i
$79$	0.943875	−	0.989908i	0.106194	−	0.111373i	−0.668491	−	0.743720i	$-0.733060\pi$
$79$	0.943875	−	0.989908i	0.106194	−	0.111373i	0.774686	+	0.632347i	$0.217908\pi$
$80$	0.933217	+	2.69635i	0.104337	+	0.301461i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	7.72727	−	8.10412i	0.853334	−	0.894951i
$83$	2.72134	+	5.95890i	0.298706	+	0.654074i	0.998162	−	0.0606009i	$-0.0193017\pi$
$83$	2.72134	+	5.95890i	0.298706	+	0.654074i	−0.699456	+	0.714675i	$0.746574\pi$
$84$	1.83772	+	1.90336i	0.200511	+	0.207674i
$85$	12.6487	+	3.71401i	1.37195	+	0.402840i
$86$	5.56427	+	7.07554i	0.600011	+	0.762976i
$87$	3.09501	−	2.20395i	0.331820	−	0.236288i
$88$	−0.701598	+	0.892155i	−0.0747906	+	0.0951040i
$89$	−0.224155	+	4.70560i	−0.0237604	+	0.498793i	0.955352	+	0.295471i	$0.0954767\pi$
$89$	−0.224155	+	4.70560i	−0.0237604	+	0.498793i	−0.979112	+	0.203321i	$0.934826\pi$
$90$	−1.86850	−	2.15637i	−0.196957	−	0.227301i
$91$	13.2554	+	4.49509i	1.38954	+	0.471214i
$92$	0.753721	+	4.73623i	0.0785809	+	0.493786i
$93$	−5.21187	−	9.02723i	−0.540446	−	0.936080i
$94$	0.868908	+	4.50832i	0.0896210	+	0.464998i
$95$	6.97002	−	3.59330i	0.715109	−	0.368664i
$96$	0.371662	+	0.928368i	0.0379326	+	0.0947512i
$97$	5.42323	−	11.8752i	0.550646	−	1.20575i	−0.405834	−	0.913947i	$-0.633019\pi$
$97$	5.42323	−	11.8752i	0.550646	−	1.20575i	0.956480	−	0.291799i	$-0.0942539\pi$
$98$	6.99945	−	0.0875624i	0.707051	−	0.00884514i
$99$	0.319761	−	1.08901i	0.0321372	−	0.109449i
$100$	−2.79202	−	1.43939i	−0.279202	−	0.143939i
$101$	−0.267769	+	2.80420i	−0.0266440	+	0.279028i	0.972325	+	0.233632i	$0.0750611\pi$
$101$	−0.267769	+	2.80420i	−0.0266440	+	0.279028i	−0.998969	+	0.0453962i	$0.985545\pi$
$102$	4.48997	+	1.08925i	0.444573	+	0.107852i
$103$	−7.98546	−	1.53907i	−0.786831	−	0.151649i	−0.220018	−	0.975496i	$-0.570612\pi$
$103$	−7.98546	−	1.53907i	−0.786831	−	0.151649i	−0.566813	+	0.823847i	$0.691824\pi$
$104$	3.99814	+	3.46441i	0.392050	+	0.339713i
$105$	−7.54262	−	0.312029i	−0.736084	−	0.0304510i
$106$	−10.2909	+	4.69970i	−0.999542	+	0.456475i
$107$	−3.36898	+	6.53492i	−0.325692	+	0.631754i	−0.993659	−	0.112437i	$-0.964134\pi$
$107$	−3.36898	+	6.53492i	−0.325692	+	0.631754i	0.667967	+	0.744191i	$0.267165\pi$
$108$	−0.690079	−	0.723734i	−0.0664029	−	0.0696413i
$109$	5.82583	−	14.5522i	0.558013	−	1.39385i	−0.334314	−	0.942462i	$-0.608505\pi$
$109$	5.82583	−	14.5522i	0.558013	−	1.39385i	0.892328	−	0.451388i	$-0.149071\pi$
$110$	−0.307831	−	3.22375i	−0.0293506	−	0.307373i
$111$	−1.27183	+	8.84575i	−0.120716	+	0.839601i
$112$	2.46233	+	0.967945i	0.232669	+	0.0914622i
$113$	6.58731	−	5.70793i	0.619682	−	0.536957i	−0.287455	−	0.957794i	$-0.592809\pi$
$113$	6.58731	−	5.70793i	0.619682	−	0.536957i	0.907136	+	0.420837i	$0.138264\pi$
$114$	2.38012	−	1.37416i	0.222919	−	0.128702i
$115$	−10.8820	−	8.29633i	−1.01476	−	0.773637i
$116$	1.89977	−	3.29049i	0.176389	−	0.305514i
$117$	−4.99934	−	1.73029i	−0.462189	−	0.159965i
$118$	−1.66086	+	2.58434i	−0.152894	+	0.237908i
$119$	10.2419	−	6.67293i	0.938870	−	0.611707i
$120$	−2.59544	−	1.18530i	−0.236930	−	0.108202i
$121$	−7.63401	+	6.00345i	−0.694001	+	0.545768i
$122$	−1.32092	+	1.25950i	−0.119591	+	0.114029i
$123$	0.532806	+	11.1850i	0.0480415	+	1.00851i
$124$	−8.49093	−	6.04637i	−0.762508	−	0.542980i
$125$	−5.08881	+	1.49421i	−0.455157	+	0.133646i
$126$	−2.64570	+	0.0165481i	−0.235698	+	0.00147422i
$127$	−12.6351	+	14.5817i	−1.12119	+	1.29392i	−0.169951	+	0.985453i	$0.554361\pi$
$127$	−12.6351	+	14.5817i	−1.12119	+	1.29392i	−0.951236	+	0.308465i	$0.900185\pi$
$128$	0.723734	+	0.690079i	0.0639697	+	0.0609949i
$129$	−8.96060	−	0.855633i	−0.788937	−	0.0753343i
$130$	−15.0776	+	0.718235i	−1.32239	+	0.0629934i
$131$	−18.7570	+	4.55039i	−1.63880	+	0.397570i	−0.946157	−	0.323707i	$-0.895071\pi$
$131$	−18.7570	+	4.55039i	−1.63880	+	0.397570i	−0.692647	+	0.721277i	$0.743556\pi$
$132$	−0.161525	−	1.12343i	−0.0140589	−	0.0977819i
$133$	1.67006	−	7.07700i	0.144813	−	0.613654i
$134$	−9.19966	−	1.32271i	−0.794730	−	0.114265i
$135$	2.85005	+	0.135765i	0.245293	+	0.0116848i
$136$	4.53671	−	0.874379i	0.389020	−	0.0749774i
$137$	15.2710	+	8.81671i	1.30469	+	0.753262i	0.981204	−	0.192971i	$-0.0618124\pi$
$137$	15.2710	+	8.81671i	1.30469	+	0.753262i	0.323484	+	0.946234i	$0.395146\pi$
$138$	−3.94790	−	2.72288i	−0.336068	−	0.231787i
$139$		−	4.31947i		−	0.366372i	−0.983078	−	0.183186i	$-0.941359\pi$
$139$		−	4.31947i		−	0.366372i	0.983078	−	0.183186i	$-0.0586411\pi$
$140$	−6.99063	+	2.84949i	−0.590816	+	0.240825i
$141$	−3.86244	−	2.48224i	−0.325276	−	0.209042i
$142$	4.44032	−	1.77764i	0.372623	−	0.149176i
$143$	−3.48289	−	4.89103i	−0.291253	−	0.409008i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	2.55589	+	10.5355i	0.212255	+	0.874929i
$146$	1.18559	+	1.84482i	0.0981205	+	0.152678i
$147$	−4.76680	+	5.12617i	−0.393159	+	0.422799i
$148$	2.51776	+	8.57471i	0.206959	+	0.704837i
$149$	−1.03418	+	5.36584i	−0.0847233	+	0.439586i	0.914652	+	0.404242i	$0.132465\pi$
$149$	−1.03418	+	5.36584i	−0.0847233	+	0.439586i	−0.999375	+	0.0353440i	$0.988747\pi$
$150$	2.96845	−	1.02739i	0.242373	−	0.0838860i
$151$	3.82191	−	15.7541i	0.311022	−	1.28205i	−0.574902	−	0.818222i	$-0.694960\pi$
$151$	3.82191	−	15.7541i	0.311022	−	1.28205i	0.885925	−	0.463829i	$-0.153525\pi$
$152$	1.59419	−	2.23872i	0.129306	−	0.181584i
$153$	−3.88676	+	2.49787i	−0.314226	+	0.201941i
$154$	−2.45692	−	1.72651i	−0.197984	−	0.139126i
$155$	29.4392	−	4.23271i	2.36461	−	0.339980i
$156$	−5.26634	+	0.502875i	−0.421645	+	0.0402622i
$157$	−17.3662	−	13.6569i	−1.38597	−	1.08994i	−0.984753	−	0.173956i	$-0.944345\pi$
$157$	−17.3662	−	13.6569i	−1.38597	−	1.08994i	−0.401217	−	0.915983i	$-0.631413\pi$
$158$	0.626752	+	1.21573i	0.0498617	+	0.0967183i
$159$	3.70021	−	10.6911i	0.293446	−	0.847855i
$160$	−2.85328			−0.225572
$161$	−12.4054	+	2.66579i	−0.977681	+	0.210093i
$162$	1.00000			0.0785674
$163$	6.70384	−	19.3695i	0.525085	−	1.51713i	−0.301020	−	0.953618i	$-0.597327\pi$
$163$	6.70384	−	19.3695i	0.525085	−	1.51713i	0.826105	−	0.563516i	$-0.190552\pi$
$164$	5.13106	+	9.95287i	0.400669	+	0.777189i
$165$	2.54557	+	2.00186i	0.198172	+	0.155844i
$166$	−6.52123	+	0.622702i	−0.506146	+	0.0483310i
$167$	−10.6242	+	1.52753i	−0.822127	+	0.118204i	−0.540526	−	0.841327i	$-0.681775\pi$
$167$	−10.6242	+	1.52753i	−0.822127	+	0.118204i	−0.281601	+	0.959531i	$0.590866\pi$
$168$	−2.39974	+	1.11412i	−0.185144	+	0.0859559i
$169$	−12.6081	+	8.10272i	−0.969853	+	0.623286i
$170$	−7.64674	+	10.7383i	−0.586478	+	0.823593i
$171$	−0.647942	+	2.67086i	−0.0495494	+	0.204245i
$172$	−8.50629	+	2.94406i	−0.648598	+	0.224482i
$173$	−1.82800	+	9.48455i	−0.138980	+	0.721097i	0.843849	+	0.536580i	$0.180284\pi$
$173$	−1.82800	+	9.48455i	−0.138980	+	0.721097i	−0.982829	+	0.184517i	$0.940928\pi$
$174$	1.07045	+	3.64562i	0.0811508	+	0.276374i
$175$	3.40511	−	7.58127i	0.257402	−	0.573090i
$176$	−0.613617	−	0.954806i	−0.0462531	−	0.0719712i
$177$	−0.724255	−	2.98542i	−0.0544383	−	0.224398i
$178$	−4.37348	−	1.75088i	−0.327806	−	0.131234i
$179$	8.32641	+	11.6928i	0.622345	+	0.873962i	0.998618	−	0.0525472i	$-0.0167340\pi$
$179$	8.32641	+	11.6928i	0.622345	+	0.873962i	−0.376273	+	0.926509i	$0.622795\pi$
$180$	2.64889	−	1.06046i	0.197437	−	0.0790418i
$181$	6.59241	+	4.23669i	0.490010	+	0.314911i	0.762210	−	0.647330i	$-0.224115\pi$
$181$	6.59241	+	4.23669i	0.490010	+	0.314911i	−0.272199	+	0.962241i	$0.587751\pi$
$182$	−8.58327	+	11.0561i	−0.636235	+	0.819536i
$183$		−	1.82515i		−	0.134919i
$184$	−4.72226	−	0.836803i	−0.348130	−	0.0616899i
$185$	−22.0827	−	12.7495i	−1.62355	−	0.937360i
$186$	10.2354	−	1.97271i	0.750494	−	0.144646i
$187$	−5.23790	−	0.249512i	−0.383033	−	0.0182461i
$188$	−4.54456	−	0.653409i	−0.331446	−	0.0476548i
$189$	1.81377	−	1.92620i	0.131932	−	0.140111i
$190$	1.11600	+	7.76193i	0.0809629	+	0.563109i
$191$	−5.00957	+	1.21531i	−0.362480	+	0.0879367i	−0.412863	−	0.910793i	$-0.635471\pi$
$191$	−5.00957	+	1.21531i	−0.362480	+	0.0879367i	0.0503827	+	0.998730i	$0.483956\pi$
$192$	−0.998867	+	0.0475819i	−0.0720870	+	0.00343393i
$193$	−6.67799	−	0.637671i	−0.480692	−	0.0459006i	−0.148102	−	0.988972i	$-0.547316\pi$
$193$	−6.67799	−	0.637671i	−0.480692	−	0.0459006i	−0.332590	+	0.943071i	$0.607923\pi$
$194$	9.44833	+	9.00896i	0.678350	+	0.646806i
$195$	9.88493	−	11.4078i	0.707875	−	0.816931i
$196$	−2.20655	+	6.64313i	−0.157611	+	0.474509i
$197$	−20.9640	+	6.15559i	−1.49362	+	0.438567i	−0.923696	−	0.383127i	$-0.874847\pi$
$197$	−20.9640	+	6.15559i	−1.49362	+	0.438567i	−0.569928	+	0.821695i	$0.693029\pi$
$198$	0.924528	+	0.658353i	0.0657033	+	0.0467871i
$199$	0.210410	+	4.41705i	0.0149156	+	0.313116i	0.993980	+	0.109564i	$0.0349455\pi$
$199$	0.210410	+	4.41705i	0.0149156	+	0.313116i	−0.979064	+	0.203552i	$0.934751\pi$
$200$	2.27340	−	2.16768i	0.160754	−	0.153278i
$201$	7.30579	−	5.74533i	0.515310	−	0.405245i
$202$	−2.56239	−	1.17021i	−0.180289	−	0.0823354i
$203$	8.96376	+	4.55040i	0.629133	+	0.319376i
$204$	−2.49787	+	3.88676i	−0.174886	+	0.272128i
$205$	−30.1928	−	10.4498i	−2.10876	−	0.729848i
$206$	4.06621	−	7.04288i	0.283306	−	0.490701i
$207$	4.69501	−	0.978226i	0.326325	−	0.0679914i
$208$	−4.58153	+	2.64515i	−0.317672	+	0.183408i
$209$	−2.35741	+	2.04270i	−0.163065	+	0.141297i
$210$	2.76182	−	7.02573i	0.190584	−	0.484821i
$211$	−0.703444	+	4.89256i	−0.0484271	+	0.336818i	0.951176	+	0.308649i	$0.0998767\pi$
$211$	−0.703444	+	4.89256i	−0.0484271	+	0.336818i	−0.999603	+	0.0281690i	$0.991032\pi$
$212$	−1.07539	−	11.2620i	−0.0738584	−	0.773480i
$213$	−1.77764	+	4.44032i	−0.121802	+	0.304246i
$214$	−5.07362	−	5.32105i	−0.346825	−	0.363740i
$215$	11.7688	−	22.8283i	0.802626	−	1.55688i
$216$	0.909632	−	0.415415i	0.0618926	−	0.0282654i
$217$	14.7647	−	23.2934i	1.00230	−	1.58126i
$218$	11.8464	+	10.2650i	0.802341	+	0.695232i
$219$	−2.15331	−	0.415017i	−0.145507	−	0.0280443i
$220$	3.14713	+	0.763486i	0.212180	+	0.0514742i
$221$	−2.32338	+	24.3316i	−0.156288	+	1.63672i
$222$	−7.94326	−	4.09504i	−0.533117	−	0.274841i
$223$	0.849706	−	2.89383i	0.0569005	−	0.193785i	−0.926138	−	0.377185i	$-0.876892\pi$
$223$	0.849706	−	2.89383i	0.0569005	−	0.193785i	0.983038	+	0.183400i	$0.0587103\pi$
$224$	−1.72006	+	2.01032i	−0.114926	+	0.134320i
$225$	−1.30491	+	2.85735i	−0.0869938	+	0.190490i
$226$	3.23950	+	8.09189i	0.215489	+	0.538265i
$227$	−23.3495	+	12.0375i	−1.54976	+	0.798956i	−0.999354	−	0.0359423i	$-0.988557\pi$
$227$	−23.3495	+	12.0375i	−1.54976	+	0.798956i	−0.550404	+	0.834898i	$0.685526\pi$
$228$	0.520124	+	2.69866i	0.0344461	+	0.178723i
$229$	0.533523	+	0.924089i	0.0352562	+	0.0610655i	0.883115	−	0.469156i	$-0.155442\pi$
$229$	0.533523	+	0.924089i	0.0352562	+	0.0610655i	−0.847859	+	0.530222i	$0.822109\pi$
$230$	11.3992	−	7.57007i	0.751641	−	0.499156i
$231$	2.94500	−	0.586729i	0.193767	−	0.0386039i
$232$	2.48816	+	2.87150i	0.163356	+	0.188523i
$233$	−0.555962	+	11.6711i	−0.0364223	+	0.764598i	0.904602	+	0.426258i	$0.140168\pi$
$233$	−0.555962	+	11.6711i	−0.0364223	+	0.764598i	−0.941024	+	0.338340i	$0.890135\pi$
$234$	3.27025	−	4.15846i	0.213783	−	0.271847i
$235$	10.6711	−	7.59889i	0.696109	−	0.495697i
$236$	−1.89899	−	2.41477i	−0.123614	−	0.157188i
$237$	−1.31237	−	0.385348i	−0.0852478	−	0.0250310i
$238$	2.95614	+	11.8611i	0.191618	+	0.768839i
$239$	−4.58704	−	10.0442i	−0.296711	−	0.649706i	0.701292	−	0.712874i	$-0.252607\pi$
$239$	−4.58704	−	10.0442i	−0.296711	−	0.649706i	−0.998003	+	0.0631679i	$0.979880\pi$
$240$	1.96899	−	2.06502i	0.127098	−	0.133296i
$241$	5.49837	+	15.8865i	0.354181	+	1.02334i	0.971585	+	0.236692i	$0.0760633\pi$
$241$	5.49837	+	15.8865i	0.354181	+	1.02334i	−0.617404	+	0.786646i	$0.711815\pi$
$242$	−3.17643	−	9.17768i	−0.204188	−	0.589963i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	−0.758193	−	1.66021i	−0.0485384	−	0.106284i
$245$	−8.52368	−	18.0628i	−0.544558	−	1.15399i
$246$	−10.7441	−	3.15474i	−0.685017	−	0.201139i
$247$	8.98770	+	11.4288i	0.571874	+	0.727197i
$248$	8.49093	−	6.04637i	0.539175	−	0.383945i
$249$	4.04949	−	5.14935i	0.256626	−	0.326327i
$250$	0.252358	−	5.29764i	0.0159605	−	0.335052i
$251$	−7.85573	−	9.06600i	−0.495849	−	0.572241i	0.451570	−	0.892236i	$-0.350864\pi$
$251$	−7.85573	−	9.06600i	−0.495849	−	0.572241i	−0.947419	+	0.319995i	$0.896319\pi$
$252$	0.849686	−	2.50560i	0.0535252	−	0.157838i
$253$	4.98468	+	2.18657i	0.313384	+	0.137469i
$254$	−9.64719	−	16.7094i	−0.605318	−	1.04844i
$255$	−2.49485	−	12.9445i	−0.156233	−	0.810616i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	−4.61714	−	11.5331i	−0.288009	−	0.719412i	−0.999854	−	0.0170755i	$-0.994564\pi$
$257$	−4.61714	−	11.5331i	−0.288009	−	0.719412i	0.711845	−	0.702337i	$-0.247860\pi$
$258$	3.73930	−	8.18792i	0.232799	−	0.509758i
$259$	−22.2951	+	7.87290i	−1.38535	+	0.489198i
$260$	4.25267	−	14.4833i	0.263739	−	0.898214i
$261$	−3.37716	−	1.74105i	−0.209041	−	0.107768i
$262$	1.83468	−	19.2136i	0.113347	−	1.18702i
$263$	1.06036	+	0.257240i	0.0653846	+	0.0158621i	0.268318	−	0.963330i	$-0.413532\pi$
$263$	1.06036	+	0.257240i	0.0653846	+	0.0158621i	−0.202933	+	0.979193i	$0.565047\pi$
$264$	1.11447	+	0.214796i	0.0685909	+	0.0132198i
$265$	24.3956	+	21.1389i	1.49861	+	1.29855i
$266$	6.14155	+	3.89287i	0.376563	+	0.238687i
$267$	4.28522	−	1.95699i	0.262251	−	0.119766i
$268$	4.25888	−	8.26107i	0.260152	−	0.504625i
$269$	6.24106	+	6.54543i	0.380524	+	0.399082i	0.885945	−	0.463791i	$-0.153511\pi$
$269$	6.24106	+	6.54543i	0.380524	+	0.399082i	−0.505421	+	0.862873i	$0.668663\pi$
$270$	−1.06046	+	2.64889i	−0.0645374	+	0.161207i
$271$	0.980867	+	10.2721i	0.0595834	+	0.623986i	0.975109	+	0.221726i	$0.0711691\pi$
$271$	0.980867	+	10.2721i	0.0595834	+	0.623986i	−0.915526	+	0.402260i	$0.868225\pi$
$272$	−0.657523	+	4.57318i	−0.0398682	+	0.277289i
$273$	−2.07857	−	13.8416i	−0.125801	−	0.837733i
$274$	−13.3264	+	11.5474i	−0.805080	+	0.697606i
$275$	−3.08757	+	1.78261i	−0.186187	+	0.107495i
$276$	3.86436	−	2.84020i	0.232607	−	0.170960i
$277$	−9.58351	+	16.5991i	−0.575818	+	0.997345i	0.420135	+	0.907462i	$0.361983\pi$
$277$	−9.58351	+	16.5991i	−0.575818	+	0.997345i	−0.995952	+	0.0898836i	$0.971351\pi$
$278$	4.08190	+	1.41276i	0.244816	+	0.0847317i
$279$	−5.63550	+	8.76902i	−0.337389	+	0.524987i
$280$	−0.406355	−	7.53813i	−0.0242844	−	0.450489i
$281$	6.03805	+	2.75748i	0.360200	+	0.164498i	0.587291	−	0.809376i	$-0.300194\pi$
$281$	6.03805	+	2.75748i	0.360200	+	0.164498i	−0.227092	+	0.973873i	$0.572922\pi$
$282$	3.60900	−	2.83815i	0.214913	−	0.169009i
$283$	20.6303	−	19.6710i	1.22634	−	1.16932i	0.246589	−	0.969120i	$-0.420690\pi$
$283$	20.6303	−	19.6710i	1.22634	−	1.16932i	0.979756	−	0.200197i	$-0.0641582\pi$
$284$	0.227581	+	4.77751i	0.0135044	+	0.283493i
$285$	−6.38770	−	4.54866i	−0.378375	−	0.269439i
$286$	5.76117	−	1.69163i	0.340665	−	0.100028i
$287$	−25.5639	+	14.9733i	−1.50899	+	0.883845i
$288$	0.654861	−	0.755750i	0.0385880	−	0.0445330i
$289$	3.14554	+	2.99927i	0.185032	+	0.176428i
$290$	−10.7920	−	1.03052i	−0.633731	−	0.0605139i
$291$	−13.0402	+	0.621181i	−0.764429	+	0.0364143i
$292$	−2.13113	+	0.517006i	−0.124715	+	0.0302555i
$293$	−3.29684	−	22.9301i	−0.192604	−	1.33959i	−0.825083	−	0.565011i	$-0.808872\pi$
$293$	−3.29684	−	22.9301i	−0.192604	−	1.33959i	0.632479	−	0.774577i	$-0.282037\pi$
$294$	−3.28516	−	6.18124i	−0.191595	−	0.360497i
$295$	8.67610	+	1.24744i	0.505142	+	0.0726285i
$296$	−8.92659	−	0.425226i	−0.518847	−	0.0247157i
$297$	−1.11447	+	0.214796i	−0.0646681	+	0.0124638i
$298$	−4.73247	−	2.73229i	−0.274145	−	0.158278i
$299$	11.2859	−	22.7230i	0.652681	−	1.31411i
$300$			3.14121i			0.181358i
$301$	−8.98938	−	22.0536i	−0.518139	−	1.27115i
$302$	13.6376	+	8.76437i	0.784757	+	0.504333i
$303$	2.61517	−	1.04696i	0.150238	−	0.0601461i
$304$	1.59419	+	2.23872i	0.0914328	+	0.128399i
$305$	4.83462	+	1.93549i	0.276830	+	0.110826i
$306$	−1.08925	−	4.48997i	−0.0622685	−	0.256674i
$307$	2.68605	+	4.17958i	0.153301	+	0.238541i	0.909406	−	0.415909i	$-0.136536\pi$
$307$	2.68605	+	4.17958i	0.153301	+	0.238541i	−0.756105	+	0.654450i	$0.772900\pi$
$308$	2.43513	−	1.75710i	0.138754	−	0.100120i
$309$	2.29117	+	7.80300i	0.130340	+	0.443897i
$310$	−5.62869	+	29.2044i	−0.319688	+	1.65870i
$311$	2.96193	−	1.02513i	0.167956	−	0.0581300i	−0.241796	−	0.970327i	$-0.577737\pi$
$311$	2.96193	−	1.02513i	0.167956	−	0.0581300i	0.409752	+	0.912197i	$0.365615\pi$
$312$	1.24724	−	5.14117i	0.0706108	−	0.291062i
$313$	−6.74085	+	9.46620i	−0.381015	+	0.535061i	−0.959898	−	0.280350i	$-0.909550\pi$
$313$	−6.74085	+	9.46620i	−0.381015	+	0.535061i	0.578883	+	0.815411i	$0.303489\pi$
$314$	18.5857	−	11.9443i	1.04885	−	0.674056i
$315$	3.17889	+	6.84713i	0.179110	+	0.385792i
$316$	−1.35386	+	0.194655i	−0.0761604	+	0.0109502i
$317$	−18.3892	+	1.75596i	−1.03284	+	0.0986244i	−0.597685	−	0.801731i	$-0.703913\pi$
$317$	−18.3892	+	1.75596i	−1.03284	+	0.0986244i	−0.435156	+	0.900355i	$0.643307\pi$
$318$	8.89283	+	6.99340i	0.498685	+	0.392170i
$319$	−1.97605	−	3.83301i	−0.110638	−	0.214607i
$320$	0.933217	−	2.69635i	0.0521684	−	0.150731i
$321$	7.35222			0.410361
$322$	1.53823	−	12.5950i	0.0857224	−	0.701891i
$323$	12.6978			0.706526
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	7.61478	+	14.7706i	0.422392	+	0.819326i
$326$	16.1115	+	12.6703i	0.892336	+	0.701741i
$327$	−15.6041	+	1.49001i	−0.862908	+	0.0823977i
$328$	−11.0837	+	1.59359i	−0.611994	+	0.0879914i
$329$	1.07903	−	12.0994i	0.0594889	−	0.667062i
$330$	−2.72433	+	1.75082i	−0.149969	+	0.0963795i
$331$	8.88296	−	12.4744i	0.488252	−	0.685654i	−0.494795	−	0.869010i	$-0.664757\pi$
$331$	8.88296	−	12.4744i	0.488252	−	0.685654i	0.983047	+	0.183356i	$0.0586962\pi$
$332$	1.54443	−	6.36623i	0.0847617	−	0.349392i
$333$	8.44520	−	2.92291i	0.462794	−	0.160175i
$334$	2.03132	−	10.5395i	0.111149	−	0.576696i
$335$	7.47131	+	25.4449i	0.408201	+	1.39021i
$336$	−0.267963	−	2.63215i	−0.0146186	−	0.143595i
$337$	2.79533	+	4.34962i	0.152272	+	0.236939i	0.909006	−	0.416783i	$-0.136843\pi$
$337$	2.79533	+	4.34962i	0.152272	+	0.236939i	−0.756734	+	0.653723i	$0.773206\pi$
$338$	−3.53338	−	14.5648i	−0.192191	−	0.792220i
$339$	−8.09189	−	3.23950i	−0.439491	−	0.175946i
$340$	−7.64674	−	10.7383i	−0.414702	−	0.582368i
$341$	−10.9833	+	4.39705i	−0.594778	+	0.238113i
$342$	−2.31204	−	1.48586i	−0.125021	−	0.0803460i
$343$	−17.8648	−	4.88343i	−0.964610	−	0.263680i
$344$		−	9.00136i		−	0.485321i
$345$	−2.38763	+	13.4739i	−0.128546	+	0.725413i
$346$	−8.36503	−	4.82955i	−0.449707	−	0.259638i
$347$	−14.0499	+	2.70790i	−0.754240	+	0.145368i	−0.551857	−	0.833939i	$-0.686081\pi$
$347$	−14.0499	+	2.70790i	−0.754240	+	0.145368i	−0.202383	+	0.979307i	$0.564868\pi$
$348$	−3.79523	−	0.180789i	−0.203446	−	0.00969131i
$349$	28.9650	+	4.16454i	1.55046	+	0.222923i	0.863717	−	0.503976i	$-0.168130\pi$
$349$	28.9650	+	4.16454i	1.55046	+	0.222923i	0.686744	+	0.726899i	$0.259039\pi$
$350$	6.05061	+	5.69742i	0.323419	+	0.304540i
$351$	0.752888	+	5.23645i	0.0401862	+	0.279501i
$352$	1.10299	−	0.267582i	0.0587894	−	0.0142622i
$353$	4.34410	−	0.206935i	0.231213	−	0.0110140i	0.0683443	−	0.997662i	$-0.478228\pi$
$353$	4.34410	−	0.206935i	0.231213	−	0.0110140i	0.162869	+	0.986648i	$0.447925\pi$
$354$	3.05810	+	0.292014i	0.162536	+	0.0155203i
$355$	−9.87683	−	9.41754i	−0.524208	−	0.499831i
$356$	3.08501	−	3.56029i	0.163505	−	0.188695i
$357$	−10.6242	−	6.04562i	−0.562294	−	0.319968i
$358$	−13.7730	+	4.04412i	−0.727927	+	0.213739i
$359$	−0.564153	−	0.401732i	−0.0297749	−	0.0212026i	0.565073	−	0.825041i	$-0.308848\pi$
$359$	−0.564153	−	0.401732i	−0.0297749	−	0.0212026i	−0.594847	+	0.803839i	$0.702788\pi$
$360$	0.135765	+	2.85005i	0.00715542	+	0.150211i
$361$	−8.28437	+	7.89913i	−0.436019	+	0.415744i
$362$	−6.15984	+	4.84415i	−0.323754	+	0.254603i
$363$	8.83418	+	4.03444i	0.463674	+	0.211753i
$364$	−7.64075	−	11.7273i	−0.400484	−	0.614678i
$365$	3.38283	−	5.26379i	0.177066	−	0.275519i
$366$	1.72477	+	0.596947i	0.0901549	+	0.0312029i
$367$	−17.0373	+	29.5094i	−0.889338	+	1.54038i	−0.0486785	+	0.998815i	$0.515501\pi$
$367$	−17.0373	+	29.5094i	−0.889338	+	1.54038i	−0.840660	+	0.541564i	$0.817832\pi$
$368$	2.33528	−	4.18885i	0.121735	−	0.218359i
$369$	9.69745	−	5.59883i	0.504829	−	0.291463i
$370$	19.2708	−	16.6983i	1.00184	−	0.868101i
$371$	29.6002	−	4.44501i	1.53677	−	0.230773i
$372$	−1.48345	+	10.3176i	−0.0769135	+	0.534945i
$373$	2.96299	+	31.0299i	0.153418	+	1.60666i	0.664605	+	0.747195i	$0.268600\pi$
$373$	2.96299	+	31.0299i	0.153418	+	1.60666i	−0.511187	+	0.859470i	$0.670794\pi$
$374$	1.94894	−	4.86821i	0.100777	−	0.251729i
$375$	3.65993	+	3.83843i	0.188998	+	0.198216i
$376$	2.10385	−	4.08090i	0.108498	−	0.210457i
$377$	−18.2842	+	8.35012i	−0.941684	+	0.430053i
$378$	1.22704	+	2.34401i	0.0631120	+	0.120563i
$379$	24.2820	+	21.0405i	1.24728	+	1.08078i	0.993537	+	0.113508i	$0.0362086\pi$
$379$	24.2820	+	21.0405i	1.24728	+	1.08078i	0.253747	+	0.967271i	$0.418337\pi$
$380$	−7.70004	−	1.48406i	−0.395003	−	0.0761307i
$381$	18.7505	+	4.54882i	0.960617	+	0.233043i
$382$	0.490003	−	5.13154i	0.0250707	−	0.262552i
$383$	−16.7868	−	8.65421i	−0.857766	−	0.442209i	−0.0275302	−	0.999621i	$-0.508764\pi$
$383$	−16.7868	−	8.65421i	−0.857766	−	0.442209i	−0.830236	+	0.557412i	$0.811795\pi$
$384$	0.281733	−	0.959493i	0.0143771	−	0.0489639i
$385$	−1.56886	+	8.42319i	−0.0799566	+	0.429285i
$386$	2.78676	−	6.10215i	0.141842	−	0.310591i
$387$	3.34547	+	8.35657i	0.170060	+	0.424788i
$388$	−11.6037	+	5.98213i	−0.589090	+	0.303697i
$389$	−0.942742	−	4.89141i	−0.0477989	−	0.248004i	0.950168	−	0.311738i	$-0.100911\pi$
$389$	−0.942742	−	4.89141i	−0.0477989	−	0.248004i	−0.997967	+	0.0637340i	$0.979699\pi$
$390$	7.54735	+	13.0724i	0.382175	+	0.661947i
$391$	−9.50626	−	20.0149i	−0.480752	−	1.01220i
$392$	−5.55607	−	4.25795i	−0.280624	−	0.215059i
$393$	12.6395	+	14.5868i	0.637578	+	0.735804i
$394$	1.03962	−	21.8243i	0.0523753	−	1.09949i
$395$	2.41246	−	3.06770i	0.121384	−	0.154352i
$396$	−0.924528	+	0.658353i	−0.0464593	+	0.0330835i
$397$	−15.4553	−	19.6530i	−0.775680	−	0.986358i	−0.999930	−	0.0118260i	$-0.996236\pi$
$397$	−15.4553	−	19.6530i	−0.775680	−	0.986358i	0.224250	−	0.974532i	$-0.428007\pi$
$398$	−4.24293	−	1.24584i	−0.212679	−	0.0624482i
$399$	−7.05556	+	1.75846i	−0.353220	+	0.0880330i
$400$	1.30491	+	2.85735i	0.0652453	+	0.142867i
$401$	−0.0232110	+	0.0243430i	−0.00115910	+	0.00121563i	−0.724313	−	0.689471i	$-0.757843\pi$
$401$	−0.0232110	+	0.0243430i	−0.00115910	+	0.00121563i	0.723154	+	0.690687i	$0.242692\pi$
$402$	3.03986	+	8.78309i	0.151614	+	0.438061i
$403$	18.0361	+	52.1118i	0.898441	+	2.59587i
$404$	1.94392	−	2.03873i	0.0967137	−	0.101430i
$405$	−1.18530	−	2.59544i	−0.0588978	−	0.128968i
$406$	−7.23189	+	6.98247i	−0.358913	+	0.346534i
$407$	9.73213	+	2.85761i	0.482404	+	0.141647i
$408$	−2.85602	−	3.63172i	−0.141394	−	0.179797i
$409$	−15.2943	+	10.8910i	−0.756256	+	0.538527i	−0.891901	−	0.452230i	$-0.850629\pi$
$409$	−15.2943	+	10.8910i	−0.756256	+	0.538527i	0.135645	+	0.990757i	$0.456689\pi$
$410$	19.7502	−	25.1144i	0.975393	−	1.24031i
$411$	0.839032	−	17.6134i	0.0413864	−	0.868807i
$412$	5.32560	+	6.14608i	0.262374	+	0.302795i
$413$	6.10916	−	5.36088i	0.300612	−	0.263792i
$414$	−0.611161	+	4.75673i	−0.0300369	+	0.233781i
$415$	9.34577	+	16.1873i	0.458766	+	0.794606i
$416$	−1.00120	−	5.19470i	−0.0490877	−	0.254691i
$417$	−3.83930	+	1.97929i	−0.188011	+	0.0969265i
$418$	−1.15933	−	2.89585i	−0.0567045	−	0.141641i
$419$	12.6144	−	27.6216i	0.616251	−	1.34940i	−0.301963	−	0.953320i	$-0.597642\pi$
$419$	12.6144	−	27.6216i	0.616251	−	1.34940i	0.918215	−	0.396083i	$-0.129631\pi$
$420$	5.73602	+	4.90781i	0.279889	+	0.239477i
$421$	−5.29257	+	18.0248i	−0.257944	+	0.878477i	0.724079	+	0.689717i	$0.242265\pi$
$421$	−5.29257	+	18.0248i	−0.257944	+	0.878477i	−0.982023	+	0.188760i	$0.939553\pi$
$422$	−4.39340	−	2.26495i	−0.213867	−	0.110256i
$423$	−0.436430	+	4.57050i	−0.0212200	+	0.222225i
$424$	10.9944	+	2.66720i	0.533934	+	0.129531i
$425$	14.2508	+	2.74661i	0.691263	+	0.133230i
$426$	−3.61470	−	3.13215i	−0.175133	−	0.151753i
$427$	4.27816	−	2.23952i	0.207035	−	0.108378i
$428$	6.68782	−	3.05422i	0.323268	−	0.147631i
$429$	−2.75137	+	5.33691i	−0.132837	+	0.257668i
$430$	17.7236	+	18.5879i	0.854707	+	0.896391i
$431$	−13.2716	+	33.1510i	−0.639273	+	1.59683i	0.154076	+	0.988059i	$0.450760\pi$
$431$	−13.2716	+	33.1510i	−0.639273	+	1.59683i	−0.793349	+	0.608767i	$0.791664\pi$
$432$	0.0950560	+	0.995472i	0.00457339	+	0.0478947i
$433$	−2.05716	+	14.3079i	−0.0988609	+	0.687593i	0.878767	+	0.477251i	$0.158367\pi$
$433$	−2.05716	+	14.3079i	−0.0988609	+	0.687593i	−0.977628	+	0.210342i	$0.932542\pi$
$434$	17.1832	+	21.5712i	0.824822	+	1.03545i
$435$	8.19318	−	7.09943i	0.392833	−	0.340392i
$436$	−13.5750	+	7.83753i	−0.650125	+	0.375350i
$437$	−12.3085	−	4.71441i	−0.588797	−	0.225521i
$438$	1.09647	−	1.89914i	0.0523914	−	0.0907446i
$439$	−3.35701	−	1.16187i	−0.160221	−	0.0554531i	0.245780	−	0.969326i	$-0.420956\pi$
$439$	−3.35701	−	1.16187i	−0.160221	−	0.0554531i	−0.406001	+	0.913873i	$0.633077\pi$
$440$	−1.75082	+	2.72433i	−0.0834671	+	0.129877i
$441$	6.74059	+	1.88796i	0.320981	+	0.0899028i
$442$	−22.2335	−	10.1537i	−1.05754	−	0.482961i
$443$	−21.1696	+	16.6480i	−1.00580	+	0.790968i	−0.977991	−	0.208645i	$-0.933095\pi$
$443$	−21.1696	+	16.6480i	−1.00580	+	0.790968i	−0.0278067	+	0.999613i	$0.508852\pi$
$444$	6.46780	−	6.16704i	0.306948	−	0.292675i
$445$	0.639578	+	13.4264i	0.0303189	+	0.636472i
$446$	2.45676	+	1.74945i	0.116331	+	0.0828390i
$447$	5.24323	−	1.53955i	0.247996	−	0.0728183i
$448$	−1.33718	−	2.28297i	−0.0631759	−	0.107860i
$449$	10.4767	−	12.0908i	0.494427	−	0.570600i	−0.452616	−	0.891706i	$-0.649509\pi$
$449$	10.4767	−	12.0908i	0.494427	−	0.570600i	0.947043	+	0.321106i	$0.104055\pi$
$450$	−2.27340	−	2.16768i	−0.107169	−	0.102186i
$451$	12.6516	+	1.20808i	0.595739	+	0.0568862i
$452$	−8.70638	+	0.414736i	−0.409514	+	0.0195075i
$453$	−15.7541	+	3.82191i	−0.740193	+	0.179569i
$454$	−3.73857	−	26.0023i	−0.175460	−	1.22035i
$455$	38.8692	+	9.17254i	1.82222	+	0.430015i
$456$	−2.72035	−	0.391128i	−0.127392	−	0.0183162i
$457$	−4.59196	−	0.218742i	−0.214803	−	0.0102323i	−0.0600953	−	0.998193i	$-0.519140\pi$
$457$	−4.59196	−	0.218742i	−0.214803	−	0.0102323i	−0.154707	+	0.987960i	$0.549443\pi$
$458$	−1.04776	+	0.201940i	−0.0489588	+	0.00943603i
$459$	4.00121	+	2.31010i	0.186761	+	0.107826i
$460$	3.42541	+	13.2482i	0.159711	+	0.617700i
$461$			28.7974i			1.34123i	0.741806	+	0.670615i	$0.233970\pi$
$461$			28.7974i			1.34123i	−0.741806	+	0.670615i	$0.766030\pi$
$462$	−0.408755	+	2.97493i	−0.0190170	+	0.138406i
$463$	0.828495	+	0.532442i	0.0385034	+	0.0247447i	0.559751	−	0.828661i	$-0.310897\pi$
$463$	0.828495	+	0.532442i	0.0385034	+	0.0247447i	−0.521248	+	0.853406i	$0.674533\pi$
$464$	−3.52736	+	1.41214i	−0.163754	+	0.0655571i
$465$	−17.2520	−	24.2270i	−0.800042	−	1.12350i
$466$	−10.8473	−	4.34262i	−0.502493	−	0.201168i
$467$	−1.77884	−	7.33246i	−0.0823147	−	0.339306i	0.915731	−	0.401792i	$-0.131612\pi$
$467$	−1.77884	−	7.33246i	−0.0823147	−	0.339306i	−0.998046	+	0.0624857i	$0.980097\pi$
$468$	2.86015	+	4.45048i	0.132211	+	0.205724i
$469$	22.4316	+	10.0751i	1.03579	+	0.465224i
$470$	3.69077	+	12.5696i	0.170242	+	0.579792i
$471$	−4.18110	+	21.6936i	−0.192655	+	0.999589i
$472$	2.90306	−	1.00476i	0.133624	−	0.0462477i
$473$	−2.40860	+	9.92838i	−0.110748	+	0.456507i
$474$	0.793389	−	1.11416i	0.0364416	−	0.0511750i
$475$	7.26260	−	4.66739i	0.333231	−	0.214155i
$476$	−12.1756	−	1.08582i	−0.558067	−	0.0497687i
$477$	−11.1981	+	1.61005i	−0.512727	+	0.0737190i
$478$	10.9921	−	1.04961i	0.502765	−	0.0480083i
$479$	−13.3087	−	10.4660i	−0.608088	−	0.478206i	0.266000	−	0.963973i	$-0.414298\pi$
$479$	−13.3087	−	10.4660i	−0.608088	−	0.478206i	−0.874088	+	0.485767i	$0.838540\pi$
$480$	1.30745	+	2.53610i	0.0596766	+	0.115756i
$481$	15.4631	−	44.6776i	0.705056	−	2.03712i
$482$	−16.8111			−0.765724
$483$	8.05392	+	9.80481i	0.366466	+	0.446134i
$484$	9.71182			0.441446
$485$	12.1831	−	35.2008i	0.553207	−	1.59839i
$486$	−0.458227	−	0.888835i	−0.0207856	−	0.0403184i
$487$	−19.4197	−	15.2718i	−0.879992	−	0.692033i	0.0722471	−	0.997387i	$-0.476983\pi$
$487$	−19.4197	−	15.2718i	−0.879992	−	0.692033i	−0.952239	+	0.305353i	$0.901225\pi$
$488$	1.81688	−	0.173491i	0.0822464	−	0.00785358i
$489$	−20.2881	+	2.91699i	−0.917461	+	0.131911i
$490$	19.8572	−	2.14711i	0.897058	−	0.0969966i
$491$	−21.5415	+	13.8439i	−0.972156	+	0.624767i	−0.927337	−	0.374228i	$-0.877908\pi$
$491$	−21.5415	+	13.8439i	−0.972156	+	0.624767i	−0.0448198	+	0.998995i	$0.514271\pi$
$492$	6.49528	−	9.12134i	0.292830	−	0.411222i
$493$	−4.13866	+	17.0598i	−0.186396	+	0.768333i
$494$	−13.7398	+	4.75539i	−0.618183	+	0.213955i
$495$	0.612875	−	3.17990i	0.0275467	−	0.142926i
$496$	2.93671	+	10.0015i	0.131862	+	0.449081i
$497$	−12.5894	+	1.28165i	−0.564711	+	0.0574897i
$498$	3.54168	+	5.51096i	0.158706	+	0.246952i
$499$	−8.50679	−	35.0654i	−0.380816	−	1.56975i	−0.763464	−	0.645851i	$-0.776503\pi$
$499$	−8.50679	−	35.0654i	−0.380816	−	1.56975i	0.382648	−	0.923894i	$-0.375012\pi$
$500$	4.92374	+	1.97117i	0.220196	+	0.0881532i
$501$	6.22603	+	8.74323i	0.278158	+	0.390619i
$502$	11.1367	−	4.45847i	0.497057	−	0.198991i
$503$	−13.4816	−	8.66409i	−0.601114	−	0.386313i	0.204401	−	0.978887i	$-0.434475\pi$
$503$	−13.4816	−	8.66409i	−0.601114	−	0.386313i	−0.805516	+	0.592575i	$0.798112\pi$
$504$	2.08989	+	1.62246i	0.0930911	+	0.0722699i
$505$			8.03756i			0.357667i
$506$	−3.69664	+	3.99537i	−0.164336	+	0.177616i
$507$	12.9793	+	7.49363i	0.576433	+	0.332804i
$508$	18.9457	−	3.65148i	0.840579	−	0.162008i
$509$	27.9431	+	1.33109i	1.23856	+	0.0589997i	0.656611	−	0.754229i	$-0.271989\pi$
$509$	27.9431	+	1.33109i	1.23856	+	0.0589997i	0.581944	+	0.813229i	$0.302292\pi$
$510$	13.0486	+	1.87610i	0.577800	+	0.0830750i
$511$	−1.66939	−	5.55663i	−0.0738496	−	0.245811i
$512$	−0.142315	−	0.989821i	−0.00628949	−	0.0437443i
$513$	2.67086	−	0.647942i	0.117921	−	0.0286074i
$514$	12.4089	−	0.591107i	0.547331	−	0.0260726i
$515$	−23.0990	−	2.20569i	−1.01786	−	0.0971943i
$516$	6.51459	+	6.21165i	0.286789	+	0.273453i
$517$	−3.41250	+	3.93823i	−0.150081	+	0.173203i
$518$	−0.147885	−	23.6439i	−0.00649770	−	1.03885i
$519$	9.26784	−	2.72128i	0.406813	−	0.119451i
$520$	12.2958	+	8.75579i	0.539206	+	0.383967i
$521$	1.43350	+	30.0928i	0.0628027	+	1.31839i	0.781866	+	0.623446i	$0.214268\pi$
$521$	1.43350	+	30.0928i	0.0628027	+	1.31839i	−0.719063	+	0.694944i	$0.755429\pi$
$522$	2.74985	−	2.62198i	0.120358	−	0.114761i
$523$	10.4457	−	8.21462i	0.456760	−	0.359200i	−0.363113	−	0.931745i	$-0.618286\pi$
$523$	10.4457	−	8.21462i	0.456760	−	0.359200i	0.819873	+	0.572545i	$0.194044\pi$
$524$	17.5568	+	8.01794i	0.766974	+	0.350265i
$525$	−8.29881	+	0.447361i	−0.362190	+	0.0195244i
$526$	−0.589902	+	0.917906i	−0.0257210	+	0.0400226i
$527$	45.5111	+	15.7515i	1.98249	+	0.686148i
$528$	−0.567490	+	0.982922i	−0.0246968	+	0.0427762i
$529$	1.78376	+	22.9307i	0.0775546	+	0.996988i
$530$	−27.9552	+	16.1400i	−1.21430	+	0.701075i
$531$	−2.32167	+	2.01174i	−0.100752	+	0.0873022i
$532$	−5.68747	+	4.53053i	−0.246583	+	0.196424i
$533$	8.43058	−	58.6360i	0.365169	−	2.53981i
$534$	0.447803	+	4.68961i	0.0193783	+	0.202939i
$535$	−7.79672	+	19.4753i	−0.337082	+	0.841989i
$536$	6.41378	+	6.72658i	0.277033	+	0.290544i
$537$	6.57760	−	12.7588i	0.283844	−	0.550581i
$538$	−8.22669	+	3.75700i	−0.354678	+	0.161976i
$539$	4.98892	+	6.18316i	0.214888	+	0.266328i
$540$	−2.15637	−	1.86850i	−0.0927952	−	0.0804075i
$541$	14.5827	+	2.81058i	0.626959	+	0.120836i	0.492827	−	0.870127i	$-0.335963\pi$
$541$	14.5827	+	2.81058i	0.626959	+	0.120836i	0.134131	+	0.990964i	$0.457176\pi$
$542$	−10.0280	−	2.43276i	−0.430738	−	0.104496i
$543$	0.744899	−	7.80093i	0.0319667	−	0.334770i
$544$	−4.10660	−	2.11710i	−0.176069	−	0.0907699i
$545$	12.6006	−	42.9137i	0.539750	−	1.83822i
$546$	13.7602	+	2.56290i	0.588881	+	0.109682i
$547$	6.57660	−	14.4007i	0.281195	−	0.615731i	−0.715352	−	0.698764i	$-0.753734\pi$
$547$	6.57660	−	14.4007i	0.281195	−	0.615731i	0.996547	+	0.0830334i	$0.0264608\pi$
$548$	−6.55368	−	16.3703i	−0.279959	−	0.699305i
$549$	−1.62225	+	0.836331i	−0.0692362	+	0.0356937i
$550$	−0.674721	−	3.50079i	−0.0287702	−	0.149274i
$551$	5.22118	+	9.04334i	0.222430	+	0.385259i
$552$	1.42009	+	4.58076i	0.0604429	+	0.194970i
$553$	−0.707074	−	3.54905i	−0.0300679	−	0.150921i
$554$	−12.5517	−	14.4855i	−0.533272	−	0.615429i
$555$	−1.21329	+	25.4701i	−0.0515012	+	1.08114i
$556$	−2.67012	+	3.39533i	−0.113238	+	0.143994i
$557$	30.9593	−	22.0460i	1.31179	−	0.934118i	0.311914	−	0.950110i	$-0.399030\pi$
$557$	30.9593	−	22.0460i	1.31179	−	0.934118i	0.999872	+	0.0159921i	$0.00509066\pi$
$558$	−6.44353	−	8.19362i	−0.272777	−	0.346864i
$559$	45.6909	+	13.4161i	1.93252	+	0.567439i
$560$	7.25644	+	2.08147i	0.306641	+	0.0879583i
$561$	2.17837	+	4.76996i	0.0919708	+	0.201388i
$562$	−4.58067	+	4.80407i	−0.193224	+	0.202648i
$563$	−1.30928	−	3.78292i	−0.0551796	−	0.159431i	0.914043	−	0.405618i	$-0.132944\pi$
$563$	−1.30928	−	3.78292i	−0.0551796	−	0.159431i	−0.969222	+	0.246187i	$0.920822\pi$
$564$	1.50166	+	4.33878i	0.0632315	+	0.182695i
$565$	17.1622	−	17.9992i	0.722020	−	0.757232i
$566$	11.8416	+	25.9294i	0.497738	+	1.08989i
$567$	−2.54319	−	0.729502i	−0.106804	−	0.0306362i
$568$	−4.58919	−	1.34751i	−0.192558	−	0.0565401i
$569$	10.2413	+	13.0229i	0.429338	+	0.545948i	0.951802	−	0.306713i	$-0.0992293\pi$
$569$	10.2413	+	13.0229i	0.429338	+	0.545948i	−0.522463	+	0.852662i	$0.674987\pi$
$570$	6.38770	−	4.54866i	0.267551	−	0.190522i
$571$	3.92892	−	4.99603i	0.164420	−	0.209077i	−0.696861	−	0.717207i	$-0.745420\pi$
$571$	3.92892	−	4.99603i	0.164420	−	0.209077i	0.861281	+	0.508129i	$0.169663\pi$
$572$	−0.285700	+	5.99758i	−0.0119457	+	0.250772i
$573$	3.37573	+	3.89580i	0.141023	+	0.162749i
$574$	−5.78864	−	29.0552i	−0.241613	−	1.21274i
$575$	−12.7941	−	7.95339i	−0.533552	−	0.331679i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	0.521719	+	2.70694i	0.0217195	+	0.112691i	0.991170	−	0.132594i	$-0.0423306\pi$
$577$	0.521719	+	2.70694i	0.0217195	+	0.112691i	−0.969451	+	0.245285i	$0.921118\pi$
$578$	−3.86312	+	1.99157i	−0.160684	+	0.0828386i
$579$	2.49325	+	6.22783i	0.103616	+	0.258820i
$580$	4.50357	−	9.86144i	0.187001	−	0.409474i
$581$	17.0390	+	3.17360i	0.706897	+	0.131663i
$582$	3.67801	−	12.5262i	0.152458	−	0.519226i
$583$	−11.4130	−	5.88379i	−0.472676	−	0.243681i
$584$	0.208452	−	2.18301i	0.00862582	−	0.0903337i
$585$	−14.6692	−	3.55871i	−0.606497	−	0.147135i
$586$	22.7472	+	4.38417i	0.939679	+	0.181108i
$587$	−10.4486	−	9.05378i	−0.431260	−	0.373689i	0.412010	−	0.911180i	$-0.364827\pi$
$587$	−10.4486	−	9.05378i	−0.431260	−	0.373689i	−0.843270	+	0.537490i	$0.819373\pi$
$588$	6.91575	−	1.08280i	0.285201	−	0.0446538i
$589$	26.0590	−	11.9008i	1.07374	−	0.490362i
$590$	−4.01650	+	7.79093i	−0.165357	+	0.320747i
$591$	15.0776	+	15.8129i	0.620208	+	0.650456i
$592$	3.32144	−	8.29656i	0.136510	−	0.340986i
$593$	2.13872	+	22.3977i	0.0878268	+	0.919763i	0.926791	+	0.375577i	$0.122555\pi$
$593$	2.13872	+	22.3977i	0.0878268	+	0.919763i	−0.838964	+	0.544186i	$0.816838\pi$
$594$	0.161525	−	1.12343i	0.00662743	−	0.0460948i
$595$	27.2808	−	21.7313i	1.11840	−	0.890898i
$596$	4.12986	−	3.57854i	0.169166	−	0.146583i
$597$	3.82961	−	2.21103i	0.156736	−	0.0904913i
$598$	17.7820	+	18.0972i	0.727160	+	0.740048i
$599$	22.6687	−	39.2634i	0.926219	−	1.60426i	0.136631	−	0.990622i	$-0.456373\pi$
$599$	22.6687	−	39.2634i	0.926219	−	1.60426i	0.789588	−	0.613637i	$-0.210294\pi$
$600$	−2.96845	−	1.02739i	−0.121186	−	0.0419430i
$601$	−15.4259	+	24.0031i	−0.629235	+	0.979108i	0.369520	+	0.929223i	$0.379522\pi$
$601$	−15.4259	+	24.0031i	−0.629235	+	0.979108i	−0.998755	+	0.0498856i	$0.984114\pi$
$602$	23.7808	−	1.28194i	0.969234	−	0.0522481i
$603$	−8.45436	−	3.86098i	−0.344288	−	0.157231i
$604$	−12.7428	+	10.0210i	−0.518496	+	0.407750i
$605$	−20.0551	+	19.1225i	−0.815354	+	0.777439i
$606$	0.134036	+	2.81376i	0.00544484	+	0.114301i
$607$	−7.71796	−	5.49594i	−0.313262	−	0.223073i	0.412601	−	0.910912i	$-0.364620\pi$
$607$	−7.71796	−	5.49594i	−0.313262	−	0.223073i	−0.725864	+	0.687839i	$0.758560\pi$
$608$	−2.63700	+	0.774293i	−0.106944	+	0.0314017i
$609$	−0.0628749	−	10.0524i	−0.00254782	−	0.407345i
$610$	−3.41029	+	3.93568i	−0.138079	+	0.159351i
$611$	17.5790	+	16.7615i	0.711170	+	0.678099i
$612$	4.59928	+	0.439178i	0.185915	+	0.0177527i
$613$	8.51630	−	0.405682i	0.343970	−	0.0163853i	0.125114	−	0.992142i	$-0.460070\pi$
$613$	8.51630	−	0.405682i	0.343970	−	0.0163853i	0.218856	+	0.975757i	$0.429767\pi$
$614$	−4.82823	+	1.17132i	−0.194852	+	0.0472705i
$615$	4.54697	+	31.6248i	0.183351	+	1.27524i
$616$	0.864012	+	2.87589i	0.0348120	+	0.115873i
$617$	−34.0049	−	4.88917i	−1.36899	−	0.196830i	−0.581692	−	0.813409i	$-0.697609\pi$
$617$	−34.0049	−	4.88917i	−1.36899	−	0.196830i	−0.787294	+	0.616578i	$0.788518\pi$
$618$	−8.12321	−	0.386956i	−0.326763	−	0.0155657i
$619$	−7.31988	+	1.41079i	−0.294211	+	0.0567044i	−0.334221	−	0.942495i	$-0.608473\pi$
$619$	−7.31988	+	1.41079i	−0.294211	+	0.0567044i	0.0400101	+	0.999199i	$0.487261\pi$
$620$	−25.7572	−	14.8709i	−1.03444	−	0.597231i
$621$	−3.02086	−	3.72484i	−0.121223	−	0.149473i
$622$			3.13431i			0.125675i
$623$	9.84534	+	7.64328i	0.394445	+	0.306222i
$624$	4.45048	+	2.86015i	0.178162	+	0.114498i
$625$	−28.6298	+	11.4616i	−1.14519	+	0.458466i
$626$	−6.74085	−	9.46620i	−0.269419	−	0.378345i
$627$	2.89585	+	1.15933i	0.115649	+	0.0462990i
$628$	5.20859	+	21.4701i	0.207845	+	0.856750i
$629$	−22.3227	−	34.7349i	−0.890066	−	1.38497i
$630$	−7.51025	+	0.764573i	−0.299216	+	0.0304613i
$631$	−3.99000	−	13.5887i	−0.158839	−	0.540957i	−1.00000		0.000171546i	$-0.999945\pi$
$631$	−3.99000	−	13.5887i	−0.158839	−	0.540957i	0.841161	−	0.540785i	$-0.181873\pi$
$632$	0.258854	−	1.34306i	0.0102967	−	0.0534241i
$633$	4.67102	−	1.61665i	0.185656	−	0.0642563i
$634$	4.35514	−	17.9521i	0.172965	−	0.712970i
$635$	−31.9334	+	44.8442i	−1.26724	+	1.77959i
$636$	−9.51733	+	6.11642i	−0.377387	+	0.242532i
$637$	29.8944	−	21.8564i	1.18446	−	0.865981i
$638$	4.26850	−	0.613718i	0.168992	−	0.0242973i
$639$	4.76127	−	0.454646i	0.188353	−	0.0179855i
$640$	2.24283	+	1.76378i	0.0886556	+	0.0697196i
$641$	−0.750172	−	1.45513i	−0.0296300	−	0.0574742i	0.873556	−	0.486724i	$-0.161808\pi$
$641$	−0.750172	−	1.45513i	−0.0296300	−	0.0574742i	−0.903186	+	0.429250i	$0.858778\pi$
$642$	−2.40468	+	6.94786i	−0.0949050	+	0.274210i
$643$	−34.8430			−1.37407			−0.687036	−	0.726623i	$-0.741089\pi$
$643$	−34.8430			−1.37407			−0.687036	+	0.726623i	$0.741089\pi$
$644$	11.3992	+	5.57305i	0.449190	+	0.219609i
$645$	−25.6834			−1.01128
$646$	−4.15305	+	11.9995i	−0.163400	+	0.472112i
$647$	−11.7259	−	22.7450i	−0.460991	−	0.894199i	−0.998695	−	0.0510649i	$-0.983738\pi$
$647$	−11.7259	−	22.7450i	−0.460991	−	0.894199i	0.537704	−	0.843134i	$-0.319292\pi$
$648$	−0.786053	−	0.618159i	−0.0308791	−	0.0242836i
$649$	−3.47089	+	0.331430i	−0.136244	+	0.0130098i
$650$	−16.4488	+	2.36498i	−0.645175	+	0.0927622i
$651$	−27.4696	−	2.44975i	−1.07662	−	0.0960134i
$652$	−17.2430	+	11.0814i	−0.675287	+	0.433981i
$653$	−8.70343	+	12.2223i	−0.340592	+	0.478294i	−0.948976	−	0.315349i	$-0.897879\pi$
$653$	−8.70343	+	12.2223i	−0.340592	+	0.478294i	0.608384	+	0.793643i	$0.291818\pi$
$654$	3.69554	−	15.2332i	0.144507	−	0.595665i
$655$	−52.0424	+	18.0121i	−2.03347	+	0.703789i
$656$	2.11917	−	10.9953i	0.0827397	−	0.429294i
$657$	0.617823	+	2.10411i	0.0241036	+	0.0820893i
$658$	11.0810	+	4.97701i	0.431983	+	0.194024i
$659$	17.6331	+	27.4376i	0.686887	+	1.06882i	0.993147	+	0.116869i	$0.0372858\pi$
$659$	17.6331	+	27.4376i	0.686887	+	1.06882i	−0.306261	+	0.951948i	$0.599078\pi$
$660$	−0.763486	−	3.14713i	−0.0297186	−	0.122502i
$661$	36.0002	+	14.4123i	1.40025	+	0.560574i	0.944197	−	0.329381i	$-0.106840\pi$
$661$	36.0002	+	14.4123i	1.40025	+	0.560574i	0.456049	+	0.889955i	$0.349264\pi$
$662$	8.88296	+	12.4744i	0.345246	+	0.484830i
$663$	22.6914	−	9.08427i	0.881261	−	0.352804i
$664$	5.51096	+	3.54168i	0.213867	+	0.137444i
$665$	2.82415	−	20.5542i	0.109516	−	0.797058i
$666$			8.93671i			0.346290i
$667$	10.3457	−	15.0002i	0.400586	−	0.580809i
$668$	9.29546	+	5.36674i	0.359652	+	0.207645i
$669$	−2.96150	+	0.570782i	−0.114498	+	0.0220677i
$670$	−26.4891	−	1.26183i	−1.02336	−	0.0487488i
$671$	−2.05042	−	0.294806i	−0.0791556	−	0.0113809i
$672$	2.57502	+	0.607666i	0.0993337	+	0.0234412i
$673$	−4.28561	−	29.8071i	−0.165198	−	1.14898i	−0.888644	−	0.458597i	$-0.848352\pi$
$673$	−4.28561	−	29.8071i	−0.165198	−	1.14898i	0.723446	−	0.690381i	$-0.242557\pi$
$674$	−5.02466	+	1.21897i	−0.193543	+	0.0469530i
$675$	3.13765	−	0.149465i	0.120768	−	0.00575290i
$676$	14.9194	+	1.42463i	0.573823	+	0.0547934i
$677$	14.7537	+	14.0676i	0.567031	+	0.540663i	0.918441	−	0.395559i	$-0.129449\pi$
$677$	14.7537	+	14.0676i	0.567031	+	0.540663i	−0.351410	+	0.936222i	$0.614298\pi$
$678$	5.70793	−	6.58731i	0.219212	−	0.252984i
$679$	−17.4569	−	29.8041i	−0.669933	−	1.14378i
$680$	12.6487	−	3.71401i	0.485057	−	0.142426i
$681$	21.3987	+	15.2379i	0.819999	+	0.583919i
$682$	−0.562930	−	11.8174i	−0.0215557	−	0.452510i
$683$	5.01244	−	4.77935i	0.191796	−	0.182877i	−0.588096	−	0.808791i	$-0.700122\pi$
$683$	5.01244	−	4.77935i	0.191796	−	0.182877i	0.779892	+	0.625914i	$0.215274\pi$
$684$	2.16033	−	1.69890i	0.0826023	−	0.0649592i
$685$	45.7664	+	20.9008i	1.74864	+	0.798579i
$686$	10.4579	−	15.2851i	0.399283	−	0.583587i
$687$	0.576889	−	0.897656i	0.0220097	−	0.0342477i
$688$	8.50629	+	2.94406i	0.324299	+	0.112241i
$689$	−29.9253	+	51.8321i	−1.14006	+	1.97465i
$690$	−11.9520	−	6.66321i	−0.455004	−	0.253664i
$691$	−11.2700	+	6.50675i	−0.428732	+	0.247529i	−0.698806	−	0.715311i	$-0.746285\pi$
$691$	−11.2700	+	6.50675i	−0.428732	+	0.247529i	0.270074	+	0.962839i	$0.412952\pi$
$692$	7.29986	−	6.32537i	0.277499	−	0.240454i
$693$	−1.87098	−	2.34876i	−0.0710727	−	0.0892222i
$694$	2.03631	−	14.1629i	0.0772974	−	0.537615i
$695$	−1.17153	−	12.2688i	−0.0444388	−	0.465384i
$696$	1.41214	−	3.52736i	0.0535272	−	0.133704i
$697$	−35.7015	−	37.4427i	−1.35229	−	1.41824i
$698$	−13.4090	+	26.0099i	−0.507539	+	0.984488i
$699$	10.6284	−	4.85384i	0.402004	−	0.183589i
$700$	−7.36303	+	3.85439i	−0.278296	+	0.145682i
$701$	6.54487	+	5.67116i	0.247196	+	0.214197i	0.769642	−	0.638476i	$-0.220435\pi$
$701$	6.54487	+	5.67116i	0.247196	+	0.214197i	−0.522446	+	0.852673i	$0.674980\pi$
$702$	−5.19470	−	1.00120i	−0.196061	−	0.0377877i
$703$	−23.8687	−	5.79047i	−0.900224	−	0.218392i
$704$	−0.107887	+	1.12984i	−0.00406613	+	0.0425825i
$705$	−11.6440	−	6.00288i	−0.438537	−	0.226082i
$706$	−1.22526	+	4.17286i	−0.0461133	+	0.157048i
$707$	5.66299	+	4.84533i	0.212979	+	0.182227i
$708$	−1.27616	+	2.79440i	−0.0479611	+	0.105020i
$709$	−1.07810	−	2.69296i	−0.0404889	−	0.101136i	0.906745	−	0.421679i	$-0.138559\pi$
$709$	−1.07810	−	2.69296i	−0.0404889	−	0.101136i	−0.947234	+	0.320542i	$0.896135\pi$
$710$	12.1300	−	6.25344i	0.455230	−	0.234687i
$711$	0.258854	+	1.34306i	0.00970778	+	0.0503687i
$712$	2.35547	+	4.07979i	0.0882749	+	0.152897i
$713$	−38.2676	−	32.1659i	−1.43313	−	1.20462i
$714$	9.18796	−	8.06258i	0.343851	−	0.301734i
$715$	−11.2192	−	12.9477i	−0.419574	−	0.484215i
$716$	0.683013	−	14.3382i	0.0255254	−	0.535844i
$717$	−6.82575	+	8.67965i	−0.254912	+	0.324147i
$718$	0.564153	−	0.401732i	0.0210540	−	0.0149925i
$719$	22.4049	+	28.4902i	0.835562	+	1.06250i	0.997135	+	0.0756428i	$0.0241009\pi$
$719$	22.4049	+	28.4902i	0.835562	+	1.06250i	−0.161573	+	0.986861i	$0.551657\pi$
$720$	−2.73770	−	0.803862i	−0.102028	−	0.0299582i
$721$	−15.4790	+	14.9451i	−0.576466	+	0.556585i
$722$	−4.75513	−	10.4123i	−0.176968	−	0.387505i
$723$	11.6010	−	12.1668i	0.431445	−	0.452486i
$724$	−2.56304	−	7.40542i	−0.0952547	−	0.275220i
$725$	3.90360	+	11.2787i	0.144976	+	0.418881i
$726$	−6.70192	+	7.02877i	−0.248732	+	0.260862i
$727$	3.71637	+	8.13772i	0.137833	+	0.301811i	0.965944	−	0.258753i	$-0.0833115\pi$
$727$	3.71637	+	8.13772i	0.137833	+	0.301811i	−0.828111	+	0.560564i	$0.810584\pi$
$728$	13.5814	−	3.38489i	0.503359	−	0.125452i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	3.86787	+	4.91840i	0.143156	+	0.182038i
$731$	33.8767	−	24.1235i	1.25297	−	0.892238i
$732$	−1.12823	+	1.43466i	−0.0417006	+	0.0530266i
$733$	2.05267	−	43.0909i	0.0758173	−	1.59160i	−0.565779	−	0.824557i	$-0.691424\pi$
$733$	2.05267	−	43.0909i	0.0758173	−	1.59160i	0.641596	−	0.767043i	$-0.278273\pi$
$734$	−22.3141	−	25.7518i	−0.823627	−	0.950517i
$735$	−12.1491	+	15.8530i	−0.448127	+	0.584748i
$736$	3.19467	+	3.57688i	0.117757	+	0.131846i
$737$	−5.27440	−	9.13554i	−0.194285	−	0.336512i
$738$	2.11917	+	10.9953i	0.0780077	+	0.404742i
$739$	25.8449	−	13.3240i	0.950720	−	0.490130i	0.0881722	−	0.996105i	$-0.471897\pi$
$739$	25.8449	−	13.3240i	0.950720	−	0.490130i	0.862548	+	0.505975i	$0.168867\pi$
$740$	9.47700	+	23.6724i	0.348381	+	0.870215i
$741$	6.03991	−	13.2256i	0.221882	−	0.485853i
$742$	−5.48075	+	29.4260i	−0.201205	+	1.08026i
$743$	3.08334	−	10.5009i	0.113117	−	0.385241i	−0.883401	−	0.468617i	$-0.844752\pi$
$743$	3.08334	−	10.5009i	0.113117	−	0.385241i	0.996518	+	0.0833768i	$0.0265705\pi$
$744$	−9.26500	−	4.77644i	−0.339671	−	0.175113i
$745$	−1.48211	+	15.5214i	−0.0543005	+	0.568660i
$746$	−30.2923	−	7.34884i	−1.10908	−	0.269060i
$747$	−6.43251	−	1.23976i	−0.235353	−	0.0453606i
$748$	3.96303	+	3.43398i	0.144903	+	0.125559i
$749$	9.02146	+	17.2337i	0.329637	+	0.629705i
$750$	−4.82437	+	2.20321i	−0.176161	+	0.0804500i
$751$	14.8020	−	28.7118i	0.540131	−	1.04771i	−0.447991	−	0.894038i	$-0.647860\pi$
$751$	14.8020	−	28.7118i	0.540131	−	1.04771i	0.988122	−	0.153670i	$-0.0491093\pi$
$752$	3.16836	+	3.32288i	0.115538	+	0.121173i
$753$	−4.45847	+	11.1367i	−0.162476	+	0.405845i
$754$	−1.91069	−	20.0096i	−0.0695832	−	0.728708i
$755$	6.58274	−	45.7839i	0.239570	−	1.66625i
$756$	−2.61642	+	0.392902i	−0.0951581	+	0.0142897i
$757$	−16.5249	+	14.3189i	−0.600607	+	0.520429i	−0.901245	−	0.433310i	$-0.857346\pi$
$757$	−16.5249	+	14.3189i	−0.600607	+	0.520429i	0.300639	+	0.953738i	$0.402800\pi$
$758$	−27.8252	+	16.0649i	−1.01066	+	0.583502i
$759$	−0.340608	−	5.43251i	−0.0123633	−	0.197188i
$760$	3.92087	−	6.79115i	0.142225	−	0.246341i
$761$	−50.2883	−	17.4049i	−1.82295	−	0.630929i	−0.997821	−	0.0659832i	$-0.978982\pi$
$761$	−50.2883	−	17.4049i	−1.82295	−	0.630929i	−0.825128	−	0.564946i	$-0.808897\pi$
$762$	−10.4313	+	16.2315i	−0.377887	+	0.588004i
$763$	−22.6394	−	34.7478i	−0.819601	−	1.25796i
$764$	4.68904	+	2.14141i	0.169644	+	0.0774737i
$765$	−10.3623	+	8.14903i	−0.374651	+	0.294629i
$766$	13.6687	−	13.0330i	0.493869	−	0.470903i
$767$	0.773295	+	16.2335i	0.0279221	+	0.586157i
$768$	0.814576	+	0.580057i	0.0293935	+	0.0209310i
$769$	−25.8259	+	7.58316i	−0.931305	+	0.273456i	−0.711983	−	0.702197i	$-0.752203\pi$
$769$	−25.8259	+	7.58316i	−0.931305	+	0.273456i	−0.219322	+	0.975653i	$0.570384\pi$
$770$	−7.44680	−	4.23753i	−0.268364	−	0.152710i
$771$	−8.13529	+	9.38863i	−0.292985	+	0.338123i
$772$	4.85507	+	4.62930i	0.174738	+	0.166612i
$773$	−6.24234	−	0.596072i	−0.224522	−	0.0214392i	−0.0178111	−	0.999841i	$-0.505670\pi$
$773$	−6.24234	−	0.596072i	−0.224522	−	0.0214392i	−0.206710	+	0.978402i	$0.566276\pi$
$774$	−8.99116	+	0.428302i	−0.323181	+	0.0153950i
$775$	31.8202	−	7.71950i	1.14302	−	0.277293i
$776$	−1.85792	−	12.9221i	−0.0666953	−	0.463876i
$777$	17.2139	+	16.2091i	0.617546	+	0.581498i
$778$	4.93073	+	0.708931i	0.176775	+	0.0254164i
$779$	−30.7399	−	1.46432i	−1.10137	−	0.0524649i
$780$	−14.8219	+	2.85669i	−0.530710	+	0.102286i
$781$	4.70125	+	2.71427i	0.168224	+	0.0971241i
$782$	22.0233	−	2.43720i	0.787550	−	0.0871539i
$783$			3.79953i			0.135784i
$784$	5.84097	−	3.85785i	0.208606	−	0.137780i
$785$	−53.0302	−	34.0804i	−1.89273	−	1.21638i
$786$	−17.9185	+	7.17347i	−0.639130	+	0.255869i
$787$	−16.5626	−	23.2590i	−0.590394	−	0.829093i	0.406005	−	0.913871i	$-0.366921\pi$
$787$	−16.5626	−	23.2590i	−0.590394	−	0.829093i	−0.996400	+	0.0847776i	$0.972982\pi$
$788$	20.2840	+	8.12047i	0.722586	+	0.289280i
$789$	−0.257240	−	1.06036i	−0.00915800	−	0.0377498i
$790$	2.10994	+	3.28312i	0.0750681	+	0.116808i
$791$	−2.33563	−	22.9425i	−0.0830455	−	0.815740i
$792$	−0.319761	−	1.08901i	−0.0113622	−	0.0386961i
$793$	−1.82733	+	9.48108i	−0.0648903	+	0.336683i
$794$	23.6271	−	8.17741i	0.838494	−	0.290205i
$795$	7.61028	−	31.3700i	0.269909	−	1.11258i
$796$	2.56504	−	3.60210i	0.0909156	−	0.127673i
$797$	−10.0647	+	6.46817i	−0.356509	+	0.229114i	−0.706619	−	0.707594i	$-0.749781\pi$
$797$	−10.0647	+	6.46817i	−0.356509	+	0.229114i	0.350110	+	0.936709i	$0.386144\pi$
$798$	0.645902	−	7.24264i	0.0228647	−	0.256387i
$799$	20.9968	−	3.01888i	0.742813	−	0.106800i
$800$	−3.12699	+	0.298591i	−0.110556	+	0.0105568i
$801$	−3.70305	−	2.91211i	−0.130841	−	0.102894i
$802$	−0.0154126	−	0.0298963i	−0.000544238	−	0.00105567i
$803$	−0.814055	+	2.35206i	−0.0287274	+	0.0830023i
$804$	−9.29426			−0.327783
$805$	−34.5128	+	10.9364i	−1.21641	+	0.385458i
$806$	−55.1447			−1.94239
$807$	2.95800	−	8.54657i	0.104126	−	0.300853i
$808$	1.29080	+	2.50381i	0.0454103	+	0.0880837i
$809$	26.5831	+	20.9051i	0.934610	+	0.734986i	0.964366	−	0.264571i	$-0.0852305\pi$
$809$	26.5831	+	20.9051i	0.934610	+	0.734986i	−0.0297556	+	0.999557i	$0.509473\pi$
$810$	2.84036	−	0.271222i	0.0998001	−	0.00952975i
$811$	13.0712	−	1.87936i	0.458993	−	0.0659933i	0.0910599	−	0.995845i	$-0.470975\pi$
$811$	13.0712	−	1.87936i	0.458993	−	0.0659933i	0.367933	+	0.929852i	$0.380065\pi$
$812$	−4.23312	−	9.11789i	−0.148553	−	0.319975i
$813$	8.68075	−	5.57878i	0.304447	−	0.195656i
$814$	−5.88351	+	8.26224i	−0.206217	+	0.289591i
$815$	13.7879	−	56.8345i	0.482969	−	1.99083i
$816$	4.36609	−	1.51112i	0.152844	−	0.0528998i
$817$	4.68182	−	24.2916i	0.163796	−	0.849856i
$818$	−5.28976	−	18.0153i	−0.184952	−	0.629889i
$819$	−11.3505	+	8.19010i	−0.396617	+	0.286185i
$820$	17.2735	+	26.8781i	0.603217	+	0.938624i
$821$	−9.42485	−	38.8498i	−0.328929	−	1.35587i	−0.860758	−	0.509014i	$-0.830010\pi$
$821$	−9.42485	−	38.8498i	−0.328929	−	1.35587i	0.531829	−	0.846852i	$-0.321505\pi$
$822$	16.3703	+	6.55368i	0.570980	+	0.228586i
$823$	13.7319	+	19.2837i	0.478664	+	0.672189i	0.981339	−	0.192286i	$-0.0615903\pi$
$823$	13.7319	+	19.2837i	0.478664	+	0.672189i	−0.502675	+	0.864475i	$0.667651\pi$
$824$	−7.54988	+	3.02252i	−0.263013	+	0.105294i
$825$	2.99925	+	1.92750i	0.104420	+	0.0671069i
$826$	3.06793	+	7.52654i	0.106747	+	0.261882i
$827$		−	25.2337i		−	0.877462i	−0.898618	−	0.438731i	$-0.855428\pi$
$827$		−	25.2337i		−	0.877462i	0.898618	−	0.438731i	$-0.144572\pi$
$828$	−4.29522	−	2.13332i	−0.149269	−	0.0741381i
$829$	13.3476	+	7.70623i	0.463581	+	0.267648i	0.713549	−	0.700606i	$-0.247087\pi$
$829$	13.3476	+	7.70623i	0.463581	+	0.267648i	−0.249968	+	0.968254i	$0.580420\pi$
$830$	−18.3538	+	3.53740i	−0.637068	+	0.122785i
$831$	19.1453	+	0.912004i	0.664144	+	0.0316371i
$832$	5.23645	+	0.752888i	0.181541	+	0.0261017i
$833$	1.13465	−	32.3215i	0.0393132	−	1.11987i
$834$	−0.614724	−	4.27550i	−0.0212862	−	0.148048i
$835$	−29.7623	+	7.22026i	−1.02997	+	0.249868i
$836$	3.11576	−	0.148422i	0.107761	−	0.00513329i
$837$	10.3765	+	0.990840i	0.358666	+	0.0342484i
$838$	21.9767	+	20.9547i	0.759171	+	0.723868i
$839$	−13.2264	+	15.2641i	−0.456626	+	0.526974i	−0.936643	−	0.350285i	$-0.886085\pi$
$839$	−13.2264	+	15.2641i	−0.456626	+	0.526974i	0.480018	+	0.877259i	$0.340630\pi$
$840$	−6.51395	+	3.81535i	−0.224753	+	0.131642i
$841$	13.9736	−	4.10303i	0.481849	−	0.141484i
$842$	−15.3025	−	10.8968i	−0.527358	−	0.375530i
$843$	−0.315844	−	6.63038i	−0.0108782	−	0.228362i
$844$	3.57732	−	3.41097i	0.123137	−	0.117410i
$845$	−33.6139	+	26.4342i	−1.15635	+	0.909366i
$846$	−4.17639	−	1.90729i	−0.143587	−	0.0655741i
$847$	1.38313	+	25.6578i	0.0475248	+	0.881613i
$848$	−6.11642	+	9.51733i	−0.210039	+	0.326826i
$849$	−26.9376	−	9.32319i	−0.924496	−	0.319971i
$850$	−7.25652	+	12.5687i	−0.248896	+	0.431101i
$851$	8.74213	+	41.9579i	0.299676	+	1.43830i
$852$	4.14214	−	2.39146i	0.141907	−	0.0819302i
$853$	25.8981	−	22.4408i	0.886734	−	0.768359i	−0.0869617	−	0.996212i	$-0.527716\pi$
$853$	25.8981	−	22.4408i	0.886734	−	0.768359i	0.973696	+	0.227852i	$0.0731703\pi$
$854$	0.717104	+	4.77534i	0.0245388	+	0.163409i
$855$	−1.11600	+	7.76193i	−0.0381663	+	0.265452i
$856$	0.698873	+	7.31893i	0.0238870	+	0.250156i
$857$	14.7150	−	36.7563i	0.502655	−	1.25557i	−0.432596	−	0.901588i	$-0.642402\pi$
$857$	14.7150	−	36.7563i	0.502655	−	1.25557i	0.935251	−	0.353984i	$-0.115173\pi$
$858$	−4.14350	−	4.34558i	−0.141457	−	0.148356i
$859$	−13.3466	+	25.8889i	−0.455382	+	0.883317i	0.543650	+	0.839312i	$0.317042\pi$
$859$	−13.3466	+	25.8889i	−0.455382	+	0.883317i	−0.999031	+	0.0440049i	$0.985988\pi$
$860$	−23.3624	+	10.6693i	−0.796653	+	0.363819i
$861$	25.0228	+	15.8609i	0.852776	+	0.540539i
$862$	−26.9870	−	23.3843i	−0.919180	−	0.796474i
$863$	14.4344	+	2.78199i	0.491351	+	0.0947002i	0.428908	−	0.903348i	$-0.358899\pi$
$863$	14.4344	+	2.78199i	0.491351	+	0.0947002i	0.0624435	+	0.998048i	$0.480111\pi$
$864$	−0.971812	−	0.235759i	−0.0330617	−	0.00802068i
$865$	−2.61976	+	27.4353i	−0.0890744	+	0.932830i
$866$	−12.8481	−	6.62367i	−0.436597	−	0.225081i
$867$	1.22448	−	4.17021i	0.0415857	−	0.141628i
$868$	−26.0049	+	9.18292i	−0.882664	+	0.311689i
$869$	−0.644891	+	1.41211i	−0.0218764	+	0.0479027i
$870$	4.02924	+	10.0646i	0.136604	+	0.341221i
$871$	−43.7035	+	22.5307i	−1.48084	+	0.763425i
$872$	−2.96652	−	15.3918i	−0.100459	−	0.521232i
$873$	6.52749	+	11.3059i	0.220922	+	0.382648i
$874$	8.48085	−	10.0896i	0.286869	−	0.341287i
$875$	−4.50643	+	13.2888i	−0.152345	+	0.449244i
$876$	1.43607	+	1.65732i	0.0485204	+	0.0559955i
$877$	−1.68911	+	35.4587i	−0.0570370	+	1.19735i	0.771057	+	0.636766i	$0.219728\pi$
$877$	−1.68911	+	35.4587i	−0.0570370	+	1.19735i	−0.828094	+	0.560589i	$0.810575\pi$
$878$	2.19594	−	2.79236i	0.0741094	−	0.0942377i
$879$	−18.8703	+	13.4375i	−0.636481	+	0.453236i
$880$	−2.00186	−	2.54557i	−0.0674826	−	0.0858111i
$881$	27.5888	+	8.10081i	0.929491	+	0.272923i	0.711224	−	0.702966i	$-0.248141\pi$
$881$	27.5888	+	8.10081i	0.929491	+	0.272923i	0.218268	+	0.975889i	$0.429959\pi$
$882$	−3.98875	+	5.75238i	−0.134308	+	0.193693i
$883$	−11.5402	−	25.2695i	−0.388359	−	0.850387i	−0.998319	−	0.0579550i	$-0.981542\pi$
$883$	−11.5402	−	25.2695i	−0.388359	−	0.850387i	0.609961	−	0.792432i	$-0.291185\pi$
$884$	16.8671	−	17.6897i	0.567301	−	0.594969i
$885$	−2.86686	−	8.28324i	−0.0963683	−	0.278438i
$886$	−8.80844	−	25.4503i	−0.295925	−	0.855020i
$887$	9.96637	−	10.4524i	0.334638	−	0.350958i	−0.534819	−	0.844966i	$-0.679620\pi$
$887$	9.96637	−	10.4524i	0.334638	−	0.350958i	0.869457	+	0.494008i	$0.164469\pi$
$888$	3.71244	+	8.12912i	0.124581	+	0.272795i
$889$	12.3451	+	49.5329i	0.414041	+	1.66128i
$890$	−12.8971	−	3.78694i	−0.432313	−	0.126939i
$891$	0.701598	+	0.892155i	0.0235044	+	0.0298883i
$892$	−2.45676	+	1.74945i	−0.0822585	+	0.0585760i
$893$	7.80016	−	9.91871i	0.261022	−	0.331917i
$894$	−0.260016	+	5.45840i	−0.00869622	+	0.182556i
$895$	26.8214	+	30.9535i	0.896539	+	1.03466i
$896$	2.59476	−	0.516951i	0.0866847	−	0.0172701i
$897$	−25.3685	+	0.380971i	−0.847030	+	0.0127202i
$898$	7.99920	+	13.8550i	0.266937	+	0.462348i
$899$	7.49537	+	38.8897i	0.249984	+	1.29704i
$900$	2.79202	−	1.43939i	0.0930673	−	0.0479795i
$901$	19.4266	+	48.5254i	0.647195	+	1.61662i
$902$	−5.27956	+	11.5606i	−0.175790	+	0.384927i
$903$	−15.4829	+	18.0956i	−0.515237	+	0.602185i
$904$	2.45565	−	8.36318i	0.0816738	−	0.278155i
$905$	19.8739	+	10.2457i	0.660631	+	0.340579i
$906$	1.54096	−	16.1377i	0.0511950	−	0.536138i
$907$	−52.2049	−	12.6648i	−1.73343	−	0.420526i	−0.760079	−	0.649831i	$-0.774840\pi$
$907$	−52.2049	−	12.6648i	−1.73343	−	0.420526i	−0.973355	+	0.229304i	$0.926355\pi$
$908$	25.7950	+	4.97158i	0.856037	+	0.164988i
$909$	−2.12891	−	1.84471i	−0.0706116	−	0.0611853i
$910$	−21.3809	+	33.7314i	−0.708771	+	1.11818i
$911$	34.7273	−	15.8594i	1.15057	−	0.525446i	0.253497	−	0.967336i	$-0.418419\pi$
$911$	34.7273	−	15.8594i	1.15057	−	0.525446i	0.897069	+	0.441890i	$0.145692\pi$
$912$	1.25936	−	2.44281i	0.0417014	−	0.0808895i
$913$	−5.13083	−	5.38106i	−0.169806	−	0.178087i
$914$	1.70859	−	4.26786i	0.0565152	−	0.141168i
$915$	−0.495019	−	5.18407i	−0.0163648	−	0.171380i
$916$	0.151856	−	1.05619i	0.00501748	−	0.0348973i
$917$	−18.6823	+	47.5256i	−0.616945	+	1.56943i
$918$	−3.49172	+	3.02559i	−0.115244	+	0.0998593i
$919$	−4.42085	+	2.55238i	−0.145830	+	0.0841952i	−0.571140	−	0.820853i	$-0.693499\pi$
$919$	−4.42085	+	2.55238i	−0.145830	+	0.0841952i	0.425309	+	0.905048i	$0.360165\pi$
$920$	−13.6399	−	1.09604i	−0.449694	−	0.0361355i
$921$	2.48414	−	4.30266i	0.0818552	−	0.141777i
$922$	−27.2136	−	9.41872i	−0.896232	−	0.310189i
$923$	13.6799	−	21.2863i	0.450279	−	0.700649i
$924$	−2.67762	−	1.35928i	−0.0880871	−	0.0447169i
$925$	−25.5353	−	11.6616i	−0.839595	−	0.383430i
$926$	−0.774132	+	0.608784i	−0.0254396	+	0.0200059i
$927$	5.88571	−	5.61201i	0.193312	−	0.184323i
$928$	−0.180789	−	3.79523i	−0.00593469	−	0.124584i
$929$	−41.8149	−	29.7763i	−1.37190	−	0.976927i	−0.998792	−	0.0491406i	$-0.984352\pi$
$929$	−41.8149	−	29.7763i	−1.37190	−	0.976927i	−0.373111	−	0.927787i	$-0.621709\pi$
$930$	28.5371	−	8.37926i	0.935769	−	0.274767i
$931$	−12.7793	−	14.3806i	−0.418824	−	0.471305i
$932$	7.65160	−	8.83041i	0.250636	−	0.289250i
$933$	−2.26841	−	2.16292i	−0.0742644	−	0.0708110i
$934$	7.51098	+	0.717212i	0.245767	+	0.0234679i
$935$	−14.9452	+	0.711928i	−0.488760	+	0.0232825i
$936$	−5.14117	+	1.24724i	−0.168045	+	0.0407672i
$937$	−2.92601	−	20.3508i	−0.0955885	−	0.664833i	−0.980128	−	0.198367i	$-0.936436\pi$
$937$	−2.92601	−	20.3508i	−0.0955885	−	0.664833i	0.884539	−	0.466466i	$-0.154473\pi$
$938$	−16.8576	+	17.9026i	−0.550421	+	0.584542i
$939$	11.5027	+	1.65384i	0.375377	+	0.0539711i
$940$	−13.0854	−	0.623335i	−0.426799	−	0.0203309i
$941$	−15.4232	+	2.97257i	−0.502781	+	0.0969030i	−0.434334	−	0.900752i	$-0.643016\pi$
$941$	−15.4232	+	2.97257i	−0.502781	+	0.0969030i	−0.0684464	+	0.997655i	$0.521804\pi$
$942$	−19.1330	−	11.0464i	−0.623386	−	0.359912i
$943$	20.7054	+	49.5499i	0.674261	+	1.61357i
$944$			3.07201i			0.0999856i
$945$	4.62932	−	5.96304i	0.150592	−	0.193978i
$946$	−8.59455	−	5.52338i	−0.279433	−	0.179581i
$947$	16.9203	−	6.77385i	0.549835	−	0.220121i	−0.0800751	−	0.996789i	$-0.525516\pi$
$947$	16.9203	−	6.77385i	0.549835	−	0.220121i	0.629910	+	0.776668i	$0.283092\pi$
$948$	0.793389	+	1.11416i	0.0257681	+	0.0361862i
$949$	10.7703	+	4.31178i	0.349619	+	0.139966i
$950$	2.03532	+	8.38972i	0.0660346	+	0.272198i
$951$	9.98718	+	15.5404i	0.323857	+	0.503931i
$952$	5.00835	−	11.1508i	0.162322	−	0.361399i
$953$	0.136450	+	0.464707i	0.00442006	+	0.0150533i	0.961673	−	0.274197i	$-0.0884121\pi$
$953$	0.136450	+	0.464707i	0.00442006	+	0.0150533i	−0.957253	+	0.289251i	$0.906594\pi$
$954$	2.14105	−	11.1088i	0.0693191	−	0.359662i
$955$	−13.8994	+	4.81062i	−0.449773	+	0.155668i
$956$	−2.60326	+	10.7308i	−0.0841956	+	0.347059i
$957$	−2.50143	+	3.51277i	−0.0808599	+	0.113552i
$958$	14.2433	−	9.15359i	0.460179	−	0.295739i
$959$	42.3156	−	19.6457i	1.36644	−	0.634392i
$960$	−2.82424	+	0.406064i	−0.0911519	+	0.0131057i
$961$	77.3029	−	7.38153i	2.49364	−	0.238114i
$962$	37.1629	+	29.2252i	1.19818	+	0.942259i
$963$	−3.36898	−	6.53492i	−0.108564	−	0.210585i
$964$	5.49837	−	15.8865i	0.177090	−	0.511669i
$965$	−19.1409			−0.616166
$966$	−11.8997	+	4.40412i	−0.382868	+	0.141700i
$967$	−16.8531			−0.541958			−0.270979	−	0.962585i	$-0.587347\pi$
$967$	−16.8531			−0.541958			−0.270979	+	0.962585i	$0.587347\pi$
$968$	−3.17643	+	9.17768i	−0.102094	+	0.294982i
$969$	−5.81848	−	11.2863i	−0.186916	−	0.362567i
$970$	29.2801	+	23.0261i	0.940127	+	0.739324i
$971$	31.9243	−	3.04840i	1.02450	−	0.0978280i	0.430745	−	0.902474i	$-0.358251\pi$
$971$	31.9243	−	3.04840i	1.02450	−	0.0978280i	0.593755	+	0.804646i	$0.297645\pi$
$972$	0.989821	−	0.142315i	0.0317485	−	0.00456475i
$973$	−9.35045	−	6.57067i	−0.299762	−	0.210646i
$974$	20.7835	−	13.3567i	0.665946	−	0.427977i
$975$	9.63935	−	13.5366i	0.308706	−	0.433517i
$976$	−0.430295	+	1.77370i	−0.0137734	+	0.0567747i
$977$	−17.0790	+	5.91111i	−0.546407	+	0.189113i	−0.586305	−	0.810090i	$-0.699418\pi$
$977$	−17.0790	+	5.91111i	−0.546407	+	0.189113i	0.0398980	+	0.999204i	$0.487297\pi$
$978$	3.87904	−	20.1264i	0.124038	−	0.643570i
$979$	−1.50637	−	5.13024i	−0.0481439	−	0.163963i
$980$	−4.46564	+	19.4673i	−0.142650	+	0.621861i
$981$	8.47458	+	13.1867i	0.270572	+	0.421019i
$982$	−6.03696	−	24.8847i	−0.192647	−	0.794102i
$983$	−55.4221	−	22.1877i	−1.76769	−	0.707677i	−0.997562	−	0.0697906i	$-0.977767\pi$
$983$	−55.4221	−	22.1877i	−1.76769	−	0.707677i	−0.770130	−	0.637887i	$-0.779809\pi$
$984$	6.49528	+	9.12134i	0.207062	+	0.290778i
$985$	−57.8758	+	23.1700i	−1.84408	+	0.738257i
$986$	−14.7679	−	9.49074i	−0.470305	−	0.302247i
$987$	−11.2488	+	4.58519i	−0.358054	+	0.145948i
$988$		−	14.5395i		−	0.462562i
$989$	−41.7946	+	10.8063i	−1.32899	+	0.343619i
$990$	2.80455	+	1.61921i	0.0891345	+	0.0514618i
$991$	44.2441	−	8.52736i	1.40546	−	0.270880i	0.570549	−	0.821263i	$-0.306730\pi$
$991$	44.2441	−	8.52736i	1.40546	−	0.270880i	0.834912	+	0.550383i	$0.185518\pi$
$992$	−10.4119	−	0.495982i	−0.330579	−	0.0157474i
$993$	−15.1581	−	2.17940i	−0.481027	−	0.0691612i
$994$	2.90642	−	12.3162i	0.0921861	−	0.390645i
$995$	1.79564	+	12.4889i	0.0569256	+	0.395926i
$996$	−6.36623	+	1.54443i	−0.201722	+	0.0489372i
$997$	52.9766	−	2.52359i	1.67779	−	0.0799228i	0.813064	−	0.582174i	$-0.197798\pi$
$997$	52.9766	−	2.52359i	1.67779	−	0.0799228i	0.864722	+	0.502251i	$0.167495\pi$
$998$	35.9192	+	3.42987i	1.13700	+	0.108570i
$999$	−6.46780	−	6.16704i	−0.204632	−	0.195116i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.493.6	yes	320
7.5	odd	6	inner	966.2.be.b.355.6	yes	320
23.7	odd	22	inner	966.2.be.b.283.6	yes	320
161.145	even	66	inner	966.2.be.b.145.6	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.145.6	✓	320	161.145	even	66	inner
966.2.be.b.283.6	yes	320	23.7	odd	22	inner
966.2.be.b.355.6	yes	320	7.5	odd	6	inner
966.2.be.b.493.6	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)

\(f(q)\)	\(=\)	\(q+(-0.327068 + 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.84036 - 0.271222i) q^{5} +(0.989821 - 0.142315i) q^{6} +(1.52118 - 2.16472i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(-0.327068 + 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.84036 - 0.271222i) q^{5} +(0.989821 - 0.142315i) q^{6} +(1.52118 - 2.16472i) q^{7} +(0.841254 - 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.672686 + 2.77285i) q^{10} +(-1.07256 + 0.371216i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(1.49045 + 5.07600i) q^{13} +(1.54814 + 2.14552i) q^{14} +(-1.54260 - 2.40033i) q^{15} +(0.235759 + 0.971812i) q^{16} +(4.28925 + 1.71716i) q^{17} +(-0.580057 - 0.814576i) q^{18} +(2.55146 - 1.02145i) q^{19} +(-2.40033 - 1.54260i) q^{20} +(-2.62113 - 0.360143i) q^{21} -1.13498i q^{22} +(-3.52021 - 3.25701i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(3.08445 - 0.594478i) q^{25} +(-5.28431 - 0.251723i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.53387 + 0.761257i) q^{28} +(0.540730 + 3.76086i) q^{29} +(2.77285 - 0.672686i) q^{30} +(10.4119 - 0.495982i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(0.821424 + 0.783226i) q^{33} +(-3.02559 + 3.49172i) q^{34} +(3.73357 - 6.56117i) q^{35} +(0.959493 - 0.281733i) q^{36} +(-7.27963 - 5.18380i) q^{37} +(0.130771 + 2.74521i) q^{38} +(3.82877 - 3.65072i) q^{39} +(2.24283 - 1.76378i) q^{40} +(-10.1857 - 4.65167i) q^{41} +(1.19762 - 2.35917i) q^{42} +(4.86650 - 7.57242i) q^{43} +(1.07256 + 0.371216i) q^{44} +(-1.42664 + 2.47101i) q^{45} +(4.22923 - 2.26134i) q^{46} +(3.97618 - 2.29565i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-2.37204 - 6.58585i) q^{49} +(-0.447041 + 3.10924i) q^{50} +(-0.439178 - 4.59928i) q^{51} +(1.96621 - 4.91134i) q^{52} +(7.80705 + 8.18780i) q^{53} +(-0.458227 + 0.888835i) q^{54} +(-2.94577 + 1.34529i) q^{55} +(0.109358 - 2.64349i) q^{56} +(-2.07705 - 1.79977i) q^{57} +(-3.73087 - 0.719066i) q^{58} +(2.98542 + 0.724255i) q^{59} +(-0.271222 + 2.84036i) q^{60} +(1.62225 + 0.836331i) q^{61} +(-2.93671 + 10.0015i) q^{62} +(0.880961 + 2.49478i) q^{63} +(0.415415 - 0.909632i) q^{64} +(5.61014 + 14.0134i) q^{65} +(-1.00881 + 0.520078i) q^{66} +(1.75895 + 9.12630i) q^{67} +(-2.31010 - 4.00121i) q^{68} +(-1.28189 + 4.62134i) q^{69} +(4.97918 + 5.67418i) q^{70} +(-3.13215 - 3.61470i) q^{71} +(-0.0475819 + 0.998867i) q^{72} +(1.35559 - 1.72377i) q^{73} +(7.27963 - 5.18380i) q^{74} +(-1.94177 - 2.46916i) q^{75} +(-2.63700 - 0.774293i) q^{76} +(-0.827970 + 2.88647i) q^{77} +(2.19767 + 4.81222i) q^{78} +(0.943875 - 0.989908i) q^{79} +(0.933217 + 2.69635i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(7.72727 - 8.10412i) q^{82} +(2.72134 + 5.95890i) q^{83} +(1.83772 + 1.90336i) q^{84} +(12.6487 + 3.71401i) q^{85} +(5.56427 + 7.07554i) q^{86} +(3.09501 - 2.20395i) q^{87} +(-0.701598 + 0.892155i) q^{88} +(-0.224155 + 4.70560i) q^{89} +(-1.86850 - 2.15637i) q^{90} +(13.2554 + 4.49509i) q^{91} +(0.753721 + 4.73623i) q^{92} +(-5.21187 - 9.02723i) q^{93} +(0.868908 + 4.50832i) q^{94} +(6.97002 - 3.59330i) q^{95} +(0.371662 + 0.928368i) q^{96} +(5.42323 - 11.8752i) q^{97} +(6.99945 - 0.0875624i) q^{98} +(0.319761 - 1.08901i) 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

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