LMFDB - Embedded newform 273.2.bn.c.230.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(146,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 2]))

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

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

chi := DirichletCharacter("273.146");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bn (of order $6$, degree $2$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			230.20
Character	$\chi$	$=$	273.230
Dual form			273.2.bn.c.146.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.755524 + 0.436202i) q^{2} +(1.51888 - 0.832467i) q^{3} +(-0.619456 - 1.07293i) q^{4} +0.294723 q^{5} +(1.51067 + 0.0335901i) q^{6} +(-1.73375 - 1.99853i) q^{7} -2.82564i q^{8} +(1.61400 - 2.52884i) q^{9} +O(q^{10})$	\(q+(0.755524 + 0.436202i) q^{2} +(1.51888 - 0.832467i) q^{3} +(-0.619456 - 1.07293i) q^{4} +0.294723 q^{5} +(1.51067 + 0.0335901i) q^{6} +(-1.73375 - 1.99853i) q^{7} -2.82564i q^{8} +(1.61400 - 2.52884i) q^{9} +(0.222671 + 0.128559i) q^{10} +(1.54167 + 0.890085i) q^{11} +(-1.83406 - 1.11397i) q^{12} +(-2.29041 + 2.78460i) q^{13} +(-0.438129 - 2.26620i) q^{14} +(0.447650 - 0.245348i) q^{15} +(-0.00636277 + 0.0110206i) q^{16} +(3.35504 + 5.81110i) q^{17} +(2.32250 - 1.20657i) q^{18} +(2.08240 - 1.20227i) q^{19} +(-0.182568 - 0.316217i) q^{20} +(-4.29707 - 1.59223i) q^{21} +(0.776513 + 1.34496i) q^{22} +(6.31856 + 3.64802i) q^{23} +(-2.35225 - 4.29181i) q^{24} -4.91314 q^{25} +(-2.94511 + 1.10475i) q^{26} +(0.346298 - 5.18460i) q^{27} +(-1.07029 + 3.09819i) q^{28} +(-1.98808 - 1.14782i) q^{29} +(0.445231 + 0.00989978i) q^{30} +6.64222i q^{31} +(-4.90376 + 2.83119i) q^{32} +(3.08258 + 0.0685417i) q^{33} +5.85389i q^{34} +(-0.510977 - 0.589013i) q^{35} +(-3.71306 - 0.165203i) q^{36} +(3.69917 - 6.40715i) q^{37} +2.09774 q^{38} +(-1.16078 + 6.13617i) q^{39} -0.832782i q^{40} +(3.49921 - 6.06080i) q^{41} +(-2.55200 - 3.07736i) q^{42} +(2.03031 + 3.51660i) q^{43} -2.20547i q^{44} +(0.475683 - 0.745307i) q^{45} +(3.18255 + 5.51234i) q^{46} -3.42186 q^{47} +(-0.000489970 + 0.0220358i) q^{48} +(-0.988215 + 6.92989i) q^{49} +(-3.71199 - 2.14312i) q^{50} +(9.93345 + 6.03340i) q^{51} +(4.40649 + 0.732513i) q^{52} +2.91015i q^{53} +(2.52317 - 3.76603i) q^{54} +(0.454367 + 0.262329i) q^{55} +(-5.64711 + 4.89895i) q^{56} +(2.16206 - 3.55964i) q^{57} +(-1.00136 - 1.73441i) q^{58} +(-3.25103 - 5.63094i) q^{59} +(-0.540540 - 0.328314i) q^{60} +(-12.2498 + 7.07244i) q^{61} +(-2.89735 + 5.01835i) q^{62} +(-7.85222 + 1.15876i) q^{63} -4.91443 q^{64} +(-0.675038 + 0.820687i) q^{65} +(2.29907 + 1.39641i) q^{66} +(3.16231 - 5.47728i) q^{67} +(4.15659 - 7.19943i) q^{68} +(12.6340 + 0.280919i) q^{69} +(-0.129127 - 0.667902i) q^{70} +(-8.16935 + 4.71658i) q^{71} +(-7.14558 - 4.56057i) q^{72} -7.89217i q^{73} +(5.58962 - 3.22717i) q^{74} +(-7.46247 + 4.09002i) q^{75} +(-2.57991 - 1.48951i) q^{76} +(-0.894018 - 4.62426i) q^{77} +(-3.55360 + 4.12969i) q^{78} +6.38290 q^{79} +(-0.00187526 + 0.00324804i) q^{80} +(-3.79002 - 8.16307i) q^{81} +(5.28747 - 3.05272i) q^{82} -9.51691 q^{83} +(0.953491 + 5.59677i) q^{84} +(0.988808 + 1.71267i) q^{85} +3.54250i q^{86} +(-3.97517 - 0.0883885i) q^{87} +(2.51506 - 4.35621i) q^{88} +(2.34325 - 4.05863i) q^{89} +(0.684494 - 0.355604i) q^{90} +(9.53611 - 0.250356i) q^{91} -9.03916i q^{92} +(5.52943 + 10.0887i) q^{93} +(-2.58530 - 1.49262i) q^{94} +(0.613732 - 0.354338i) q^{95} +(-5.09136 + 8.38246i) q^{96} +(-12.7098 + 7.33799i) q^{97} +(-3.76945 + 4.80464i) q^{98} +(4.73913 - 2.46204i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9}+O(q^{10}) $ 64 * q + 32 * q^4 - 4 * q^7 - 10 * q^9	$ 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9} - 18 q^{15} - 16 q^{16} + 8 q^{18} - 44 q^{21} - 32 q^{22} + 48 q^{25} + 40 q^{28} - 40 q^{30} - 6 q^{36} + 12 q^{37} - 12 q^{42} + 40 q^{43} - 36 q^{46} - 24 q^{49} - 28 q^{51} - 68 q^{57} - 116 q^{60} + 4 q^{63} - 48 q^{64} - 28 q^{67} - 64 q^{70} + 62 q^{72} - 2 q^{78} + 56 q^{79} + 10 q^{81} + 28 q^{85} + 80 q^{88} - 16 q^{91} + 46 q^{93} - 32 q^{99}+O(q^{100}) $ 64 * q + 32 * q^4 - 4 * q^7 - 10 * q^9 - 18 * q^15 - 16 * q^16 + 8 * q^18 - 44 * q^21 - 32 * q^22 + 48 * q^25 + 40 * q^28 - 40 * q^30 - 6 * q^36 + 12 * q^37 - 12 * q^42 + 40 * q^43 - 36 * q^46 - 24 * q^49 - 28 * q^51 - 68 * q^57 - 116 * q^60 + 4 * q^63 - 48 * q^64 - 28 * q^67 - 64 * q^70 + 62 * q^72 - 2 * q^78 + 56 * q^79 + 10 * q^81 + 28 * q^85 + 80 * q^88 - 16 * q^91 + 46 * q^93 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	0.755524	+	0.436202i	0.534236	+	0.308441i	0.742740	−	0.669580i	$-0.233526\pi$
$2$	0.755524	+	0.436202i	0.534236	+	0.308441i	−0.208504	+	0.978022i	$0.566859\pi$
$3$	1.51888	−	0.832467i	0.876926	−	0.480625i
$3$	1.51888	−	0.832467i	0.876926	−	0.480625i
$4$	−0.619456	−	1.07293i	−0.309728	−	0.536464i
$5$	0.294723			0.131804			0.0659022	−	0.997826i	$-0.479007\pi$
$5$	0.294723			0.131804			0.0659022	+	0.997826i	$0.479007\pi$
$6$	1.51067	+	0.0335901i	0.616730	+	0.0137131i
$7$	−1.73375	−	1.99853i	−0.655296	−	0.755372i
$7$	−1.73375	−	1.99853i	−0.655296	−	0.755372i
$8$		−	2.82564i		−	0.999014i
$9$	1.61400	−	2.52884i	0.537999	−	0.842945i
$10$	0.222671	+	0.128559i	0.0704146	+	0.0406539i
$11$	1.54167	+	0.890085i	0.464832	+	0.268371i	0.714074	−	0.700071i	$-0.246848\pi$
$11$	1.54167	+	0.890085i	0.464832	+	0.268371i	−0.249242	+	0.968441i	$0.580181\pi$
$12$	−1.83406	−	1.11397i	−0.529447	−	0.321577i
$13$	−2.29041	+	2.78460i	−0.635246	+	0.772310i
$13$	−2.29041	+	2.78460i	−0.635246	+	0.772310i
$14$	−0.438129	−	2.26620i	−0.117095	−	0.605667i
$15$	0.447650	−	0.245348i	0.115583	−	0.0633485i
$16$	−0.00636277	+	0.0110206i	−0.00159069	+	0.00275516i
$17$	3.35504	+	5.81110i	0.813716	+	1.40940i	0.910246	+	0.414068i	$0.135892\pi$
$17$	3.35504	+	5.81110i	0.813716	+	1.40940i	−0.0965301	+	0.995330i	$0.530774\pi$
$18$	2.32250	−	1.20657i	0.547418	−	0.284391i
$19$	2.08240	−	1.20227i	0.477735	−	0.275820i	−0.241737	−	0.970342i	$-0.577717\pi$
$19$	2.08240	−	1.20227i	0.477735	−	0.275820i	0.719472	+	0.694521i	$0.244384\pi$
$20$	−0.182568	−	0.316217i	−0.0408235	−	0.0707083i
$21$	−4.29707	−	1.59223i	−0.937697	−	0.347454i
$22$	0.776513	+	1.34496i	0.165553	+	0.286747i
$23$	6.31856	+	3.64802i	1.31751	+	0.760665i	0.983328	−	0.181843i	$-0.0582062\pi$
$23$	6.31856	+	3.64802i	1.31751	+	0.760665i	0.334183	+	0.942508i	$0.391539\pi$
$24$	−2.35225	−	4.29181i	−0.480151	−	0.876062i
$25$	−4.91314			−0.982628
$26$	−2.94511	+	1.10475i	−0.577584	+	0.216659i
$27$	0.346298	−	5.18460i	0.0666450	−	0.997777i
$28$	−1.07029	+	3.09819i	−0.202267	+	0.585503i
$29$	−1.98808	−	1.14782i	−0.369177	−	0.213144i	0.303922	−	0.952697i	$-0.401704\pi$
$29$	−1.98808	−	1.14782i	−0.369177	−	0.213144i	−0.673099	+	0.739553i	$0.735037\pi$
$30$	0.445231	+	0.00989978i	0.0812877	+	0.00180744i
$31$			6.64222i			1.19298i	0.802622	+	0.596489i	$0.203438\pi$
$31$			6.64222i			1.19298i	−0.802622	+	0.596489i	$0.796562\pi$
$32$	−4.90376	+	2.83119i	−0.866871	+	0.500488i
$33$	3.08258	+	0.0685417i	0.536609	+	0.0119316i
$34$			5.85389i			1.00393i
$35$	−0.510977	−	0.589013i	−0.0863709	−	0.0995613i
$36$	−3.71306	−	0.165203i	−0.618844	−	0.0275338i
$37$	3.69917	−	6.40715i	0.608140	−	1.05333i	−0.383407	−	0.923580i	$-0.625249\pi$
$37$	3.69917	−	6.40715i	0.608140	−	1.05333i	0.991547	−	0.129750i	$-0.0414174\pi$
$38$	2.09774			0.340298
$39$	−1.16078	+	6.13617i	−0.185873	+	0.982574i
$40$		−	0.832782i		−	0.131674i
$41$	3.49921	−	6.06080i	0.546484	−	0.946538i	−0.452028	−	0.892004i	$-0.649299\pi$
$41$	3.49921	−	6.06080i	0.546484	−	0.946538i	0.998512	−	0.0545345i	$-0.0173675\pi$
$42$	−2.55200	−	3.07736i	−0.393783	−	0.474847i
$43$	2.03031	+	3.51660i	0.309619	+	0.536276i	0.978279	−	0.207292i	$-0.0664652\pi$
$43$	2.03031	+	3.51660i	0.309619	+	0.536276i	−0.668660	+	0.743568i	$0.733132\pi$
$44$		−	2.20547i		−	0.332488i
$45$	0.475683	−	0.745307i	0.0709106	−	0.111104i
$46$	3.18255	+	5.51234i	0.469241	+	0.812750i
$47$	−3.42186			−0.499130			−0.249565	−	0.968358i	$-0.580288\pi$
$47$	−3.42186			−0.499130			−0.249565	+	0.968358i	$0.580288\pi$
$48$	−0.000489970		0.0220358i	−7.07211e−5		0.00318060i
$49$	−0.988215	+	6.92989i	−0.141174	+	0.989985i
$50$	−3.71199	−	2.14312i	−0.524955	−	0.303083i
$51$	9.93345	+	6.03340i	1.39096	+	0.844845i
$52$	4.40649	+	0.732513i	0.611070	+	0.101581i
$53$			2.91015i			0.399740i	0.979822	+	0.199870i	$0.0640519\pi$
$53$			2.91015i			0.399740i	−0.979822	+	0.199870i	$0.935948\pi$
$54$	2.52317	−	3.76603i	0.343360	−	0.512492i
$55$	0.454367	+	0.262329i	0.0612668	+	0.0353724i
$56$	−5.64711	+	4.89895i	−0.754627	+	0.654650i
$57$	2.16206	−	3.55964i	0.286372	−	0.471485i
$58$	−1.00136	−	1.73441i	−0.131485	−	0.227739i
$59$	−3.25103	−	5.63094i	−0.423248	−	0.733086i	0.573007	−	0.819550i	$-0.305777\pi$
$59$	−3.25103	−	5.63094i	−0.423248	−	0.733086i	−0.996255	+	0.0864638i	$0.972443\pi$
$60$	−0.540540	−	0.328314i	−0.0697834	−	0.0423852i
$61$	−12.2498	+	7.07244i	−1.56843	+	0.905534i	−0.572078	+	0.820199i	$0.693863\pi$
$61$	−12.2498	+	7.07244i	−1.56843	+	0.905534i	−0.996352	+	0.0853347i	$0.972804\pi$
$62$	−2.89735	+	5.01835i	−0.367963	+	0.637331i
$63$	−7.85222	+	1.15876i	−0.989286	+	0.145989i
$64$	−4.91443			−0.614304
$65$	−0.675038	+	0.820687i	−0.0837282	+	0.101794i
$66$	2.29907	+	1.39641i	0.282995	+	0.171887i
$67$	3.16231	−	5.47728i	0.386337	−	0.669156i	−0.605616	−	0.795757i	$-0.707073\pi$
$67$	3.16231	−	5.47728i	0.386337	−	0.669156i	0.991954	+	0.126601i	$0.0404067\pi$
$68$	4.15659	−	7.19943i	0.504061	−	0.873060i
$69$	12.6340	+	0.280919i	1.52095	+	0.0338187i
$70$	−0.129127	−	0.667902i	−0.0154336	−	0.0798296i
$71$	−8.16935	+	4.71658i	−0.969524	+	0.559755i	−0.899091	−	0.437762i	$-0.855771\pi$
$71$	−8.16935	+	4.71658i	−0.969524	+	0.559755i	−0.0704327	+	0.997517i	$0.522438\pi$
$72$	−7.14558	−	4.56057i	−0.842114	−	0.537469i
$73$		−	7.89217i		−	0.923709i	−0.886956	−	0.461855i	$-0.847184\pi$
$73$		−	7.89217i		−	0.923709i	0.886956	−	0.461855i	$-0.152816\pi$
$74$	5.58962	−	3.22717i	0.649781	−	0.375151i
$75$	−7.46247	+	4.09002i	−0.861692	+	0.472275i
$76$	−2.57991	−	1.48951i	−0.295936	−	0.170859i
$77$	−0.894018	−	4.62426i	−0.101883	−	0.526983i
$78$	−3.55360	+	4.12969i	−0.402366	+	0.467595i
$79$	6.38290			0.718132			0.359066	−	0.933312i	$-0.383095\pi$
$79$	6.38290			0.718132			0.359066	+	0.933312i	$0.383095\pi$
$80$	−0.00187526	+	0.00324804i	−0.000209660	+	0.000363142i
$81$	−3.79002	−	8.16307i	−0.421114	−	0.907008i
$82$	5.28747	−	3.05272i	0.583903	−	0.337117i
$83$	−9.51691			−1.04462			−0.522308	−	0.852757i	$-0.674929\pi$
$83$	−9.51691			−1.04462			−0.522308	+	0.852757i	$0.674929\pi$
$84$	0.953491	+	5.59677i	0.104034	+	0.610657i
$85$	0.988808	+	1.71267i	0.107251	+	0.185765i
$86$			3.54250i			0.381997i
$87$	−3.97517	−	0.0883885i	−0.426183	−	0.00947625i
$88$	2.51506	−	4.35621i	0.268106	−	0.464373i
$89$	2.34325	−	4.05863i	0.248384	−	0.430214i	−0.714693	−	0.699438i	$-0.753434\pi$
$89$	2.34325	−	4.05863i	0.248384	−	0.430214i	0.963078	+	0.269224i	$0.0867671\pi$
$90$	0.684494	−	0.355604i	0.0721520	−	0.0374839i
$91$	9.53611	−	0.250356i	0.999656	−	0.0262444i
$92$		−	9.03916i		−	0.942397i
$93$	5.52943	+	10.0887i	0.573375	+	1.04615i
$94$	−2.58530	−	1.49262i	−0.266653	−	0.153952i
$95$	0.613732	−	0.354338i	0.0629675	−	0.0363543i
$96$	−5.09136	+	8.38246i	−0.519635	+	0.855531i
$97$	−12.7098	+	7.33799i	−1.29048	+	0.745060i	−0.978740	−	0.205106i	$-0.934246\pi$
$97$	−12.7098	+	7.33799i	−1.29048	+	0.745060i	−0.311742	+	0.950167i	$0.600913\pi$
$98$	−3.76945	+	4.80464i	−0.380772	+	0.485342i
$99$	4.73913	−	2.46204i	0.476301	−	0.247444i
$100$	3.04347	+	5.27145i	0.304347	+	0.527145i
$101$	−4.55732	+	7.89350i	−0.453470	+	0.785433i	−0.998599	−	0.0529194i	$-0.983147\pi$
$101$	−4.55732	+	7.89350i	−0.453470	+	0.785433i	0.545129	+	0.838352i	$0.316481\pi$
$102$	4.87317	+	8.89137i	0.482516	+	0.880377i
$103$		−	4.22371i		−	0.416175i	−0.978110	−	0.208087i	$-0.933276\pi$
$103$		−	4.22371i		−	0.416175i	0.978110	−	0.208087i	$-0.0667239\pi$
$104$	7.86828	+	6.47188i	0.771548	+	0.634620i
$105$	−1.26645	−	0.469268i	−0.123593	−	0.0457959i
$106$	−1.26941	+	2.19869i	−0.123296	+	0.213555i
$107$	12.2016	+	7.04460i	1.17957	+	0.681027i	0.955916	−	0.293641i	$-0.0948671\pi$
$107$	12.2016	+	7.04460i	1.17957	+	0.681027i	0.223657	+	0.974668i	$0.428200\pi$
$108$	−5.77722	+	2.84008i	−0.555914	+	0.273287i
$109$	−6.12116			−0.586301			−0.293151	−	0.956066i	$-0.594704\pi$
$109$	−6.12116			−0.586301			−0.293151	+	0.956066i	$0.594704\pi$
$110$	0.228857	+	0.396391i	0.0218206	+	0.0377944i
$111$	0.284858	−	12.8111i	0.0270375	−	1.21598i
$112$	0.0330565	−	0.00639089i	0.00312355	−	0.000603882i
$113$	1.71662	−	0.991090i	0.161486	−	0.0932339i	−0.417079	−	0.908870i	$-0.636946\pi$
$113$	1.71662	−	0.991090i	0.161486	−	0.0932339i	0.578565	+	0.815636i	$0.303613\pi$
$114$	3.18621	−	1.74630i	0.298416	−	0.163556i
$115$	1.86223	+	1.07516i	0.173654	+	0.100259i
$116$			2.84409i			0.264067i
$117$	3.34508	+	10.2864i	0.309253	+	0.950980i
$118$		−	5.67242i		−	0.522188i
$119$	5.79683	−	16.7801i	0.531394	−	1.53823i
$120$	−0.693263	−	1.26490i	−0.0632860	−	0.115469i
$121$	−3.91550	−	6.78184i	−0.355954	−	0.616531i
$122$	−12.3401			−1.11722
$123$	0.269459	−	12.1186i	0.0242963	−	1.09270i
$124$	7.12663	−	4.11456i	0.639990	−	0.369498i
$125$	−2.92163			−0.261319
$126$	−6.43799	−	2.54968i	−0.573541	−	0.227144i
$127$	−0.617935	+	1.07029i	−0.0548329	+	0.0949733i	−0.892139	−	0.451761i	$-0.850796\pi$
$127$	−0.617935	+	1.07029i	−0.0548329	+	0.0949733i	0.837306	+	0.546734i	$0.184129\pi$
$128$	6.09456	+	3.51870i	0.538688	+	0.311012i
$129$	6.01124	+	3.65113i	0.529261	+	0.321464i
$130$	−0.867993	+	0.325596i	−0.0761280	+	0.0285567i
$131$	19.2754			1.68410			0.842051	−	0.539398i	$-0.181348\pi$
$131$	19.2754			1.68410			0.842051	+	0.539398i	$0.181348\pi$
$132$	−1.83598	−	3.34985i	−0.159802	−	0.291567i
$133$	−6.01313	−	2.07729i	−0.521405	−	0.180123i
$134$	4.77840	−	2.75881i	0.412791	−	0.238325i
$135$	0.102062	−	1.52802i	0.00878410	−	0.131511i
$136$	16.4201	−	9.48012i	1.40801	−	0.812914i
$137$	14.9966	−	8.65827i	1.28124	−	0.739726i	0.304167	−	0.952619i	$-0.401622\pi$
$137$	14.9966	−	8.65827i	1.28124	−	0.739726i	0.977076	+	0.212893i	$0.0682886\pi$
$138$	9.42275	+	5.72322i	0.802118	+	0.487192i
$139$	−5.00299	+	2.88848i	−0.424348	+	0.244997i	−0.696936	−	0.717133i	$-0.745454\pi$
$139$	−5.00299	+	2.88848i	−0.424348	+	0.244997i	0.272588	+	0.962131i	$0.412120\pi$
$140$	−0.315441	+	0.913109i	−0.0266596	+	0.0771718i
$141$	−5.19740	+	2.84859i	−0.437700	+	0.239894i
$142$	−8.22952			−0.690606
$143$	−6.00960	+	2.25428i	−0.502548	+	0.188512i
$144$	0.0175999	+	0.0338777i	0.00146666	+	0.00282314i
$145$	−0.585933	−	0.338289i	−0.0486591	−	0.0280933i
$146$	3.44258	−	5.96272i	0.284910	−	0.493479i
$147$	4.26793	+	11.3483i	0.352013	+	0.935995i
$148$	−9.16589			−0.753432
$149$	7.64069	−	4.41135i	0.625950	−	0.361392i	−0.153232	−	0.988190i	$-0.548968\pi$
$149$	7.64069	−	4.41135i	0.625950	−	0.361392i	0.779182	+	0.626798i	$0.215635\pi$
$150$	−7.42215	−	0.165033i	−0.606016	−	0.0134749i
$151$	4.38130			0.356545			0.178273	−	0.983981i	$-0.442949\pi$
$151$	4.38130			0.356545			0.178273	+	0.983981i	$0.442949\pi$
$152$	−3.39719	−	5.88411i	−0.275548	−	0.477264i
$153$	20.1103	+	0.894755i	1.62582	+	0.0723366i
$154$	1.34166	−	3.88371i	0.108114	−	0.312958i
$155$			1.95762i			0.157240i
$156$	7.30273	−	2.55566i	0.584686	−	0.204616i
$157$		−	15.8370i		−	1.26393i	−0.774998	−	0.631964i	$-0.782249\pi$
$157$		−	15.8370i		−	1.26393i	0.774998	−	0.631964i	$-0.217751\pi$
$158$	4.82243	+	2.78423i	0.383652	+	0.221502i
$159$	2.42260	+	4.42017i	0.192125	+	0.350542i
$160$	−1.44525	+	0.834418i	−0.114257	+	0.0659665i
$161$	−3.66414	−	18.9526i	−0.288775	−	1.49367i
$162$	0.697294	−	7.82061i	0.0547846	−	0.614445i
$163$	3.09827	+	5.36636i	0.242675	+	0.420326i	0.961475	−	0.274891i	$-0.0886417\pi$
$163$	3.09827	+	5.36636i	0.242675	+	0.420326i	−0.718800	+	0.695217i	$0.755308\pi$
$164$	−8.67041			−0.677046
$165$	0.908509	+	0.0202008i	0.0707273	+	0.00157263i
$166$	−7.19025	−	4.15129i	−0.558072	−	0.322203i
$167$	−5.57279	+	9.65236i	−0.431236	+	0.746922i	−0.996980	−	0.0776588i	$-0.975256\pi$
$167$	−5.57279	+	9.65236i	−0.431236	+	0.746922i	0.565744	+	0.824581i	$0.308589\pi$
$168$	−4.49907	+	12.1420i	−0.347111	+	0.936773i
$169$	−2.50802	−	12.7558i	−0.192924	−	0.981214i
$170$			1.72528i			0.132323i
$171$	0.320634	−	7.20651i	0.0245195	−	0.551096i
$172$	2.51537	−	4.35675i	0.191795	−	0.332199i
$173$	8.41203	+	14.5701i	0.639554	+	1.10774i	0.985531	+	0.169498i	$0.0542145\pi$
$173$	8.41203	+	14.5701i	0.639554	+	1.10774i	−0.345976	+	0.938243i	$0.612452\pi$
$174$	−2.96478	−	1.80076i	−0.224760	−	0.136515i
$175$	8.51816	+	9.81904i	0.643912	+	0.742249i
$176$	−0.0196186	+	0.0113268i	−0.00147881	+	0.000853791i
$177$	−9.62550	−	5.84636i	−0.723497	−	0.439439i
$178$	3.54076	−	2.04426i	0.265392	−	0.153224i
$179$	−7.03505	−	4.06169i	−0.525824	−	0.303585i	0.213490	−	0.976945i	$-0.431517\pi$
$179$	−7.03505	−	4.06169i	−0.525824	−	0.303585i	−0.739314	+	0.673361i	$0.764850\pi$
$180$	−1.09433	−	0.0486891i	−0.0815663	−	0.00362907i
$181$		−	6.10578i		−	0.453839i	−0.973914	−	0.226919i	$-0.927135\pi$
$181$		−	6.10578i		−	0.453839i	0.973914	−	0.226919i	$-0.0728654\pi$
$182$	7.31396	+	3.97052i	0.542147	+	0.294314i
$183$	−12.7185	+	20.9398i	−0.940176	+	1.54791i
$184$	10.3080	−	17.8540i	0.759915	−	1.31621i
$185$	1.09023	−	1.88834i	0.0801555	−	0.138833i
$186$	−0.223112	+	10.0342i	−0.0163594	+	0.735745i
$187$			11.9451i			0.873510i
$188$	2.11969	+	3.67141i	0.154594	+	0.267765i
$189$	−10.9620	+	8.29672i	−0.797365	+	0.603498i
$190$	0.618252			0.0448527
$191$	−20.0279	+	11.5631i	−1.44917	+	0.836679i	−0.998432	−	0.0559762i	$-0.982173\pi$
$191$	−20.0279	+	11.5631i	−1.44917	+	0.836679i	−0.450739	+	0.892656i	$0.648840\pi$
$192$	−7.46443	+	4.09110i	−0.538699	+	0.295250i
$193$	0.696857	−	1.20699i	0.0501609	−	0.0868812i	−0.839855	−	0.542811i	$-0.817360\pi$
$193$	0.696857	−	1.20699i	0.0501609	−	0.0868812i	0.890016	+	0.455930i	$0.150693\pi$
$194$	−12.8034			−0.919229
$195$	−0.342108	+	1.80847i	−0.0244988	+	0.129507i
$196$	8.04744	−	3.23248i	0.574817	−	0.230891i
$197$	−5.69341	−	3.28709i	−0.405639	−	0.234196i	0.283275	−	0.959039i	$-0.408579\pi$
$197$	−5.69341	−	3.28709i	−0.405639	−	0.234196i	−0.688914	+	0.724843i	$0.741912\pi$
$198$	4.65448	+	0.207088i	0.330779	+	0.0147171i
$199$	7.22459	−	4.17112i	0.512138	−	0.295683i	−0.221574	−	0.975143i	$-0.571120\pi$
$199$	7.22459	−	4.17112i	0.512138	−	0.295683i	0.733712	+	0.679461i	$0.237786\pi$
$200$			13.8828i			0.981659i
$201$	0.243516	−	10.9518i	0.0171763	−	0.772484i
$202$	−6.88632	+	3.97582i	−0.484520	+	0.279738i
$203$	1.15289	+	5.96325i	0.0809169	+	0.418538i
$204$	0.320082	−	14.3953i	0.0224102	−	1.00787i
$205$	1.03130	−	1.78626i	0.0720290	−	0.124758i
$206$	1.84239	−	3.19112i	0.128366	−	0.222336i
$207$	19.4234	−	10.0907i	1.35002	−	0.701352i
$208$	−0.0161147	−	0.0429596i	−0.00111736	−	0.00297871i
$209$	4.28050			0.296088
$210$	−0.752135	−	0.906970i	−0.0519022	−	0.0625869i
$211$	−2.69761	+	4.67240i	−0.185711	+	0.321661i	−0.943816	−	0.330472i	$-0.892792\pi$
$211$	−2.69761	+	4.67240i	−0.185711	+	0.321661i	0.758105	+	0.652133i	$0.226126\pi$
$212$	3.12238	−	1.80271i	0.214446	−	0.123811i
$213$	−8.48188	+	13.9646i	−0.581169	+	0.956841i
$214$	6.14573	+	10.6447i	0.420114	+	0.727658i
$215$	0.598379	+	1.03642i	0.0408091	+	0.0706835i
$216$	−14.6498	−	0.978512i	−0.996793	−	0.0665793i
$217$	13.2746	−	11.5159i	0.901142	−	0.781754i
$218$	−4.62468	−	2.67006i	−0.313223	−	0.180839i
$219$	−6.56997	−	11.9873i	−0.443958	−	0.810025i
$220$		−	0.650005i		−	0.0438233i
$221$	−23.8660	−	3.96736i	−1.60540	−	0.266874i
$222$	5.80346	−	9.55487i	0.389503	−	0.641281i
$223$	−20.8242	−	12.0229i	−1.39449	−	0.805110i	−0.400682	−	0.916217i	$-0.631227\pi$
$223$	−20.8242	−	12.0229i	−1.39449	−	0.805110i	−0.993808	+	0.111107i	$0.964560\pi$
$224$	14.1601	+	4.89172i	0.946112	+	0.326842i
$225$	−7.92979	+	12.4245i	−0.528653	+	0.828301i
$226$	1.72926			0.115029
$227$	5.22826	+	9.05561i	0.347012	+	0.601042i	0.985717	−	0.168410i	$-0.0538631\pi$
$227$	5.22826	+	9.05561i	0.347012	+	0.601042i	−0.638705	+	0.769451i	$0.720530\pi$
$228$	−5.15854	−	0.114701i	−0.341633	−	0.00759625i
$229$		−	3.03141i		−	0.200321i	−0.994971	−	0.100161i	$-0.968064\pi$
$229$		−	3.03141i		−	0.200321i	0.994971	−	0.100161i	$-0.0319357\pi$
$230$	0.937972	+	1.62461i	0.0618480	+	0.107124i
$231$	−5.20745	−	6.27946i	−0.342625	−	0.413158i
$232$	−3.24332	+	5.61759i	−0.212934	+	0.368813i
$233$		−	5.81731i		−	0.381105i	−0.981677	−	0.190552i	$-0.938972\pi$
$233$		−	5.81731i		−	0.381105i	0.981677	−	0.190552i	$-0.0610279\pi$
$234$	−1.95967	+	9.23077i	−0.128107	+	0.603434i
$235$	−1.00850			−0.0657874
$236$	−4.02774	+	6.97624i	−0.262183	+	0.454115i
$237$	9.69486	−	5.31355i	0.629749	−	0.345152i
$238$	11.6992	−	10.1492i	0.758344	−	0.657875i
$239$			17.6271i			1.14021i	0.821573	+	0.570103i	$0.193097\pi$
$239$			17.6271i			1.14021i	−0.821573	+	0.570103i	$0.806903\pi$
$240$	−0.000144406		0.00649448i	−9.32135e−6		0.000419217i
$241$	−14.8518	+	8.57471i	−0.956691	+	0.552346i	−0.895153	−	0.445759i	$-0.852934\pi$
$241$	−14.8518	+	8.57471i	−0.956691	+	0.552346i	−0.0615377	+	0.998105i	$0.519600\pi$
$242$		−	6.83179i		−	0.439164i
$243$	−12.5521	−	9.24366i	−0.805216	−	0.592981i
$244$	15.1765	+	8.76213i	0.971573	+	0.560938i
$245$	−0.291250	+	2.04240i	−0.0186073	+	0.130484i
$246$	5.48974	−	9.03836i	0.350013	−	0.576265i
$247$	−1.42170	+	8.55235i	−0.0904606	+	0.544173i
$248$	18.7685			1.19180
$249$	−14.4550	+	7.92251i	−0.916051	+	0.502069i
$250$	−2.20736	−	1.27442i	−0.139606	−	0.0806015i
$251$	4.77972	+	8.27871i	0.301693	+	0.522548i	0.976520	−	0.215429i	$-0.0691149\pi$
$251$	4.77972	+	8.27871i	0.301693	+	0.522548i	−0.674827	+	0.737976i	$0.735782\pi$
$252$	6.10736	+	7.70707i	0.384728	+	0.485500i
$253$	6.49410	+	11.2481i	0.408281	+	0.707163i
$254$	−0.933729	+	0.539089i	−0.0585874	+	0.0338254i
$255$	2.92762	+	1.77819i	0.183335	+	0.111354i
$256$	7.98415	+	13.8290i	0.499010	+	0.864310i
$257$	12.5766	−	21.7832i	0.784504	−	1.35880i	−0.144792	−	0.989462i	$-0.546251\pi$
$257$	12.5766	−	21.7832i	0.784504	−	1.35880i	0.929295	−	0.369338i	$-0.120416\pi$
$258$	2.94901	+	5.38063i	0.183597	+	0.334983i
$259$	−19.2183	+	3.71552i	−1.19417	+	0.230871i
$260$	1.29870	+	0.215889i	0.0805417	+	0.0133888i
$261$	−6.11139	+	3.17495i	−0.378286	+	0.196524i
$262$	14.5630	+	8.40798i	0.899708	+	0.519447i
$263$	−12.1603	−	7.02073i	−0.749834	−	0.432917i	0.0758001	−	0.997123i	$-0.475849\pi$
$263$	−12.1603	−	7.02073i	−0.749834	−	0.432917i	−0.825634	+	0.564206i	$0.809182\pi$
$264$	0.193674	−	8.71026i	0.0119198	−	0.536080i
$265$			0.857689i			0.0526874i
$266$	−3.63695	−	4.19238i	−0.222996	−	0.257051i
$267$	0.180444	−	8.11526i	0.0110430	−	0.496646i
$268$	−7.83564			−0.478638
$269$	−5.48716	−	9.50404i	−0.334558	−	0.579471i	0.648842	−	0.760923i	$-0.275254\pi$
$269$	−5.48716	−	9.50404i	−0.334558	−	0.579471i	−0.983400	+	0.181452i	$0.941920\pi$
$270$	0.743637	−	1.10994i	0.0452563	−	0.0675487i
$271$	−1.46568	−	0.846211i	−0.0890337	−	0.0514037i	0.454822	−	0.890582i	$-0.349703\pi$
$271$	−1.46568	−	0.846211i	−0.0890337	−	0.0514037i	−0.543856	+	0.839179i	$0.683036\pi$
$272$	−0.0853894			−0.00517749
$273$	14.2758	−	8.31875i	0.864010	−	0.503474i
$274$	15.1070			0.912648
$275$	−7.57445	−	4.37311i	−0.456756	−	0.263708i
$276$	−7.52480	−	13.7294i	−0.452940	−	0.826413i
$277$	−4.43033	−	7.67357i	−0.266193	−	0.461060i	0.701682	−	0.712490i	$-0.252433\pi$
$277$	−4.43033	−	7.67357i	−0.266193	−	0.461060i	−0.967875	+	0.251430i	$0.919099\pi$
$278$	−5.03984			−0.302269
$279$	16.7971	+	10.7205i	1.00561	+	0.641821i
$280$	−1.66434	+	1.44384i	−0.0994631	+	0.0862857i
$281$			20.0322i			1.19502i	0.801862	+	0.597509i	$0.203843\pi$
$281$			20.0322i			1.19502i	−0.801862	+	0.597509i	$0.796157\pi$
$282$	−5.16932	−	0.114940i	−0.307828	−	0.00684461i
$283$	−1.36667	−	0.789045i	−0.0812399	−	0.0469039i	0.458830	−	0.888524i	$-0.348269\pi$
$283$	−1.36667	−	0.789045i	−0.0812399	−	0.0469039i	−0.540070	+	0.841620i	$0.681602\pi$
$284$	10.1211	+	5.84342i	0.600577	+	0.346743i
$285$	0.637210	−	1.04911i	0.0377451	−	0.0621438i
$286$	−5.52372	−	0.918234i	−0.326624	−	0.0542963i
$287$	−18.1794	+	3.51467i	−1.07310	+	0.207464i
$288$	−0.755050	+	16.9703i	−0.0444917	+	0.999987i
$289$	−14.0126	+	24.2705i	−0.824268	+	1.42767i
$290$	−0.295124	−	0.511170i	−0.0173303	−	0.0300169i
$291$	−13.1960	+	21.7260i	−0.773563	+	1.27360i
$292$	−8.46774	+	4.88885i	−0.495537	+	0.286098i
$293$	−12.0027	−	20.7893i	−0.701207	−	1.21453i	−0.968043	−	0.250784i	$-0.919311\pi$
$293$	−12.0027	−	20.7893i	−0.701207	−	1.21453i	0.266836	−	0.963742i	$-0.414022\pi$
$294$	−1.72565	+	10.4356i	−0.100642	+	0.608618i
$295$	−0.958154	−	1.65957i	−0.0557859	−	0.0966240i
$296$	−18.1043	−	10.4525i	−1.05229	−	0.607540i
$297$	5.14861	−	7.68472i	0.298753	−	0.445913i
$298$	7.69696			0.445873
$299$	−24.6304	+	9.23920i	−1.42441	+	0.534317i
$300$	9.01098	+	5.47311i	0.520249	+	0.315990i
$301$	3.50796	−	10.1545i	0.202196	−	0.585297i
$302$	3.31018	+	1.91113i	0.190479	+	0.109973i
$303$	−0.350940	+	15.7831i	−0.0201610	+	0.906716i
$304$			0.0305992i			0.00175498i
$305$	−3.61031	+	2.08442i	−0.206726	+	0.119353i
$306$	14.8035	+	9.44817i	0.846262	+	0.540116i
$307$			13.6888i			0.781261i	0.920548	+	0.390630i	$0.127743\pi$
$307$			13.6888i			0.781261i	−0.920548	+	0.390630i	$0.872257\pi$
$308$	−4.40770	+	3.82374i	−0.251152	+	0.217878i
$309$	−3.51610	−	6.41532i	−0.200024	−	0.364955i
$310$	−0.853916	+	1.47903i	−0.0484992	+	0.0840030i
$311$	14.6648			0.831562			0.415781	−	0.909465i	$-0.363508\pi$
$311$	14.6648			0.831562			0.415781	+	0.909465i	$0.363508\pi$
$312$	17.3386	+	3.27993i	0.981605	+	0.185690i
$313$			6.30991i			0.356657i	0.983971	+	0.178328i	$0.0570690\pi$
$313$			6.30991i			0.356657i	−0.983971	+	0.178328i	$0.942931\pi$
$314$	6.90812	−	11.9652i	0.389848	−	0.675236i
$315$	−2.31423	+	0.341512i	−0.130392	+	0.0192420i
$316$	−3.95392	−	6.84840i	−0.222426	−	0.385252i
$317$		−	15.9945i		−	0.898341i	−0.893446	−	0.449170i	$-0.851720\pi$
$317$		−	15.9945i		−	0.898341i	0.893446	−	0.449170i	$-0.148280\pi$
$318$	−0.0977521	+	4.39629i	−0.00548167	+	0.246532i
$319$	−2.04331	−	3.53911i	−0.114403	−	0.198152i
$320$	−1.44840			−0.0809679
$321$	24.3972	+	0.542475i	1.36172	+	0.0302780i
$322$	5.49880	−	15.9174i	0.306436	−	0.887044i
$323$	13.9730	+	8.06734i	0.777481	+	0.448879i
$324$	−6.41064	+	9.12309i	−0.356147	+	0.506838i
$325$	11.2531	−	13.6811i	0.624211	−	0.758893i
$326$			5.40588i			0.299404i
$327$	−9.29732	+	5.09567i	−0.514143	+	0.281791i
$328$	−17.1256	−	9.88749i	−0.945605	−	0.545945i
$329$	5.93265	+	6.83868i	0.327078	+	0.377028i
$330$	0.677589	+	0.411556i	0.0373000	+	0.0226554i
$331$	6.65859	+	11.5330i	0.365989	+	0.633912i	0.988934	−	0.148354i	$-0.0473974\pi$
$331$	6.65859	+	11.5330i	0.365989	+	0.633912i	−0.622945	+	0.782266i	$0.714064\pi$
$332$	5.89530	+	10.2110i	0.323547	+	0.560400i
$333$	−10.2322	−	19.6957i	−0.560720	−	1.07932i
$334$	−8.42075	+	4.86172i	−0.460763	+	0.266022i
$335$	0.932006	−	1.61428i	0.0509209	−	0.0881976i
$336$	0.0448887	−	0.0372255i	0.00244888	−	0.00203082i
$337$	−5.22880			−0.284831			−0.142415	−	0.989807i	$-0.545487\pi$
$337$	−5.22880			−0.284831			−0.142415	+	0.989807i	$0.545487\pi$
$338$	3.66923	−	10.7313i	0.199580	−	0.583705i
$339$	1.78229	−	2.93438i	0.0968006	−	0.159373i
$340$	1.22505	−	2.12184i	0.0664374	−	0.115073i
$341$	−5.91214	+	10.2401i	−0.320160	+	0.554534i
$342$	3.38574	−	5.30483i	0.183080	−	0.286852i
$343$	15.5629	−	10.0397i	0.840317	−	0.542095i
$344$	9.93663	−	5.73692i	0.535747	−	0.309314i
$345$	3.72354	+	0.0827934i	0.200468	+	0.00445745i
$346$			14.6774i			0.789060i
$347$	15.9743	−	9.22277i	0.857545	−	0.495104i	−0.00564408	−	0.999984i	$-0.501797\pi$
$347$	15.9743	−	9.22277i	0.857545	−	0.495104i	0.863190	+	0.504880i	$0.168463\pi$
$348$	2.36761	+	4.31983i	0.126917	+	0.231567i
$349$	−18.3473	−	10.5928i	−0.982106	−	0.567019i	−0.0792008	−	0.996859i	$-0.525237\pi$
$349$	−18.3473	−	10.5928i	−0.982106	−	0.567019i	−0.902905	+	0.429839i	$0.858570\pi$
$350$	2.15259	+	11.1342i	0.115061	+	0.595145i
$351$	13.6439	+	12.8392i	0.728257	+	0.685305i
$352$	−10.0800			−0.537266
$353$	−6.51201	+	11.2791i	−0.346599	+	0.600328i	−0.985643	−	0.168843i	$-0.945997\pi$
$353$	−6.51201	+	11.2791i	−0.346599	+	0.600328i	0.639044	+	0.769171i	$0.279330\pi$
$354$	−4.72210	−	8.61572i	−0.250977	−	0.457921i
$355$	−2.40770	+	1.39009i	−0.127787	+	0.0737781i
$356$	−5.80616			−0.307726
$357$	−5.16421	−	30.3127i	−0.273319	−	1.60432i
$358$	−3.54343	−	6.13740i	−0.187276	−	0.324372i
$359$			7.89220i			0.416535i	0.978072	+	0.208267i	$0.0667824\pi$
$359$			7.89220i			0.416535i	−0.978072	+	0.208267i	$0.933218\pi$
$360$	−2.10597	−	1.34411i	−0.110994	−	0.0708407i
$361$	−6.60908	+	11.4473i	−0.347846	+	0.602487i
$362$	2.66335	−	4.61306i	0.139983	−	0.242457i
$363$	−11.5928	−	7.04129i	−0.608466	−	0.369572i
$364$	−6.17581	−	10.0765i	−0.323700	−	0.528151i
$365$		−	2.32601i		−	0.121749i
$366$	−18.7431	+	10.2727i	−0.979716	+	0.536962i
$367$	10.0695	+	5.81365i	0.525626	+	0.303470i	0.739233	−	0.673449i	$-0.235188\pi$
$367$	10.0695	+	5.81365i	0.525626	+	0.303470i	−0.213608	+	0.976920i	$0.568521\pi$
$368$	−0.0804072	+	0.0464231i	−0.00419151	+	0.00241997i
$369$	−9.67907	−	18.6310i	−0.503872	−	0.969893i
$370$	1.64739	−	0.951123i	0.0856439	−	0.0494465i
$371$	5.81601	−	5.04547i	0.301952	−	0.261948i
$372$	7.39926	−	12.1822i	0.383634	−	0.631618i
$373$	−4.98801	−	8.63949i	−0.258269	−	0.447336i	0.707509	−	0.706704i	$-0.249819\pi$
$373$	−4.98801	−	8.63949i	−0.258269	−	0.447336i	−0.965778	+	0.259369i	$0.916486\pi$
$374$	−5.21046	+	9.02479i	−0.269427	+	0.466661i
$375$	−4.43761	+	2.43216i	−0.229157	+	0.125596i
$376$			9.66894i			0.498637i
$377$	7.74973	−	2.90703i	0.399132	−	0.149720i
$378$	−11.9011	+	1.48675i	−0.612125	+	0.0764699i
$379$	17.2692	−	29.9112i	0.887061	−	1.53643i	0.0437273	−	0.999044i	$-0.486077\pi$
$379$	17.2692	−	29.9112i	0.887061	−	1.53643i	0.843333	−	0.537391i	$-0.180590\pi$
$380$	−0.760359	−	0.438994i	−0.0390056	−	0.0225199i
$381$	−0.0475846	+	2.14006i	−0.00243783	+	0.109639i
$382$	−20.1755			−1.03227
$383$	−1.67844	−	2.90715i	−0.0857645	−	0.148548i	0.819952	−	0.572432i	$-0.194000\pi$
$383$	−1.67844	−	2.90715i	−0.0857645	−	0.148548i	−0.905717	+	0.423883i	$0.860667\pi$
$384$	12.1861	+	0.270960i	0.621870	+	0.0138274i
$385$	−0.263488	−	1.36288i	−0.0134286	−	0.0694586i
$386$	1.05298	−	0.607941i	0.0535955	−	0.0309434i
$387$	12.1698	+	0.541463i	0.618626	+	0.0275241i
$388$	15.7463	+	9.09112i	0.799397	+	0.461532i
$389$		−	14.1422i		−	0.717039i	−0.933522	−	0.358519i	$-0.883282\pi$
$389$		−	14.1422i		−	0.717039i	0.933522	−	0.358519i	$-0.116718\pi$
$390$	−1.04733	+	1.21712i	−0.0530336	+	0.0616311i
$391$			48.9570i			2.47586i
$392$	19.5814	+	2.79234i	0.989009	+	0.141034i
$393$	29.2771	−	16.0462i	1.47683	−	0.809422i
$394$	−2.86767	−	4.96696i	−0.144471	−	0.250232i
$395$	1.88119			0.0946529
$396$	−5.57728	−	3.55963i	−0.280269	−	0.178878i
$397$	6.82656	−	3.94132i	0.342615	−	0.197809i	−0.318813	−	0.947818i	$-0.603284\pi$
$397$	6.82656	−	3.94132i	0.342615	−	0.197809i	0.661428	+	0.750009i	$0.269951\pi$
$398$	7.27780			0.364803
$399$	−10.8625	+	1.85059i	−0.543805	+	0.0926452i
$400$	0.0312612	−	0.0541460i	0.00156306	−	0.00270730i
$401$	−15.9969	−	9.23583i	−0.798848	−	0.461215i	0.0442202	−	0.999022i	$-0.485920\pi$
$401$	−15.9969	−	9.23583i	−0.798848	−	0.461215i	−0.843068	+	0.537807i	$0.819253\pi$
$402$	4.96120	−	8.16816i	0.247442	−	0.407391i
$403$	−18.4959	−	15.2134i	−0.921348	−	0.757834i
$404$	11.2922			0.561809
$405$	−1.11701	−	2.40585i	−0.0555046	−	0.119548i
$406$	−1.73015	+	5.00827i	−0.0858658	+	0.248556i
$407$	11.4058	−	6.58515i	0.565365	−	0.326414i
$408$	17.0482	−	28.0683i	0.844013	−	1.38959i
$409$	−23.8779	+	13.7859i	−1.18069	+	0.681669i	−0.956173	−	0.292802i	$-0.905412\pi$
$409$	−23.8779	+	13.7859i	−1.18069	+	0.681669i	−0.224512	+	0.974471i	$0.572079\pi$
$410$	1.55834	−	0.899708i	0.0769609	−	0.0444334i
$411$	15.5703	−	25.6350i	0.768024	−	1.26448i
$412$	−4.53174	+	2.61640i	−0.223263	+	0.128901i
$413$	−5.61712	+	16.2599i	−0.276400	+	0.800098i
$414$	19.0764	+	0.848754i	0.937555	+	0.0417140i
$415$	−2.80486			−0.137685
$416$	3.34791	−	20.1396i	0.164145	−	0.987426i
$417$	−5.19438	+	8.55207i	−0.254370	+	0.418797i
$418$	3.23402	+	1.86716i	0.158181	+	0.0913259i
$419$	−7.91833	+	13.7149i	−0.386836	+	0.670019i	−0.992022	−	0.126065i	$-0.959765\pi$
$419$	−7.91833	+	13.7149i	−0.386836	+	0.670019i	0.605186	+	0.796084i	$0.293099\pi$
$420$	0.281016	+	1.64950i	0.0137122	+	0.0804873i
$421$	12.3196			0.600420			0.300210	−	0.953873i	$-0.402943\pi$
$421$	12.3196			0.600420			0.300210	+	0.953873i	$0.402943\pi$
$422$	−4.07622	+	2.35341i	−0.198427	+	0.114562i
$423$	−5.52287	+	8.65332i	−0.268531	+	0.420739i
$424$	8.22303			0.399346
$425$	−16.4838	−	28.5507i	−0.799580	−	1.38491i
$426$	−12.4997	+	6.85080i	−0.605610	+	0.331922i
$427$	35.3726	+	12.2198i	1.71180	+	0.591355i
$428$		−	17.4553i		−	0.843732i
$429$	−7.25125	+	8.42678i	−0.350094	+	0.406849i
$430$			1.04406i			0.0503489i
$431$	8.49065	+	4.90208i	0.408980	+	0.236125i	0.690351	−	0.723474i	$-0.257456\pi$
$431$	8.49065	+	4.90208i	0.408980	+	0.236125i	−0.281371	+	0.959599i	$0.590789\pi$
$432$	0.0549342	+	0.0368049i	0.00264302	+	0.00177077i
$433$	19.6570	−	11.3490i	0.944655	−	0.545397i	0.0532388	−	0.998582i	$-0.483046\pi$
$433$	19.6570	−	11.3490i	0.944655	−	0.545397i	0.891417	+	0.453185i	$0.149712\pi$
$434$	15.0526	−	2.91015i	0.722547	−	0.139692i
$435$	−1.17158	−	0.0260502i	−0.0561728	−	0.00124901i
$436$	3.79179	+	6.56757i	0.181594	+	0.314530i
$437$	17.5437			0.839228
$438$	0.265099	−	11.9225i	0.0126669	−	0.569679i
$439$	6.88134	+	3.97294i	0.328428	+	0.189618i	0.655143	−	0.755505i	$-0.272608\pi$
$439$	6.88134	+	3.97294i	0.328428	+	0.189618i	−0.326715	+	0.945123i	$0.605942\pi$
$440$	0.741247	−	1.28388i	0.0353375	−	0.0612064i
$441$	15.9296	+	13.6839i	0.758552	+	0.651613i
$442$	−16.3008	−	13.4078i	−0.775348	−	0.637746i
$443$		−	22.8387i		−	1.08510i	−0.840023	−	0.542550i	$-0.817459\pi$
$443$		−	22.8387i		−	1.08510i	0.840023	−	0.542550i	$-0.182541\pi$
$444$	−13.9219	+	7.63030i	−0.660704	+	0.362118i
$445$	0.690611	−	1.19617i	0.0327381	−	0.0567041i
$446$	−10.4888	−	18.1671i	−0.496658	−	0.860237i
$447$	7.93299	−	13.0609i	0.375218	−	0.617761i
$448$	8.52040	+	9.82162i	0.402551	+	0.464028i
$449$	7.80499	−	4.50621i	0.368340	−	0.212661i	−0.304393	−	0.952547i	$-0.598454\pi$
$449$	7.80499	−	4.50621i	0.368340	−	0.212661i	0.672733	+	0.739885i	$0.265120\pi$
$450$	−11.4107	+	5.92803i	−0.537908	+	0.279450i
$451$	10.7893	−	6.22918i	0.508046	−	0.293321i
$452$	−2.12674	−	1.22787i	−0.100033	−	0.0577543i
$453$	6.65467	−	3.64729i	0.312664	−	0.171364i
$454$			9.12230i			0.428131i
$455$	2.81051	−	0.0737858i	0.131759	−	0.00345913i
$456$	−10.0582	−	6.10921i	−0.471021	−	0.286090i
$457$	2.09503	−	3.62869i	0.0980012	−	0.169743i	−0.812856	−	0.582465i	$-0.802088\pi$
$457$	2.09503	−	3.62869i	0.0980012	−	0.169743i	0.910857	+	0.412722i	$0.135422\pi$
$458$	1.32231	−	2.29030i	0.0617873	−	0.107019i
$459$	31.2900	−	15.3822i	1.46049	−	0.717978i
$460$		−	2.66405i		−	0.124212i
$461$	−8.94533	−	15.4938i	−0.416626	−	0.721617i	0.578972	−	0.815347i	$-0.303454\pi$
$461$	−8.94533	−	15.4938i	−0.416626	−	0.721617i	−0.995598	+	0.0937307i	$0.970121\pi$
$462$	−1.19524	−	7.01578i	−0.0556076	−	0.326403i
$463$	3.80815			0.176980			0.0884898	−	0.996077i	$-0.471796\pi$
$463$	3.80815			0.176980			0.0884898	+	0.996077i	$0.471796\pi$
$464$	0.0252994	−	0.0146066i	0.00117449	−	0.000678094i
$465$	1.62965	+	2.97339i	0.0755733	+	0.137887i
$466$	2.53752	−	4.39511i	0.117548	−	0.203600i
$467$	19.9833			0.924718			0.462359	−	0.886693i	$-0.347003\pi$
$467$	19.9833			0.924718			0.462359	+	0.886693i	$0.347003\pi$
$468$	8.96447	−	9.96102i	0.414383	−	0.460448i
$469$	−16.4291	+	3.17628i	−0.758627	+	0.146667i
$470$	−0.761947	−	0.439911i	−0.0351460	−	0.0202916i
$471$	−13.1838	−	24.0545i	−0.607476	−	1.10837i
$472$	−15.9110	+	9.18623i	−0.732364	+	0.422830i
$473$			7.22858i			0.332371i
$474$	9.64248	+	0.214402i	0.442894	+	0.00984781i
$475$	−10.2311	+	5.90693i	−0.469436	+	0.271029i
$476$	−21.5948	+	4.17496i	−0.989794	+	0.191359i
$477$	7.35929	+	4.69697i	0.336959	+	0.215060i
$478$	−7.68899	+	13.3177i	−0.351686	+	0.609139i
$479$	12.3495	−	21.3899i	0.564263	−	0.977331i	−0.432855	−	0.901463i	$-0.642494\pi$
$479$	12.3495	−	21.3899i	0.564263	−	0.977331i	0.997118	−	0.0758680i	$-0.0241728\pi$
$480$	−1.50054	+	2.47051i	−0.0684901	+	0.112763i
$481$	9.36874	+	24.9757i	0.427178	+	1.13880i
$482$	−14.9612			−0.681465
$483$	−21.3428	−	25.7364i	−0.971130	−	1.17105i
$484$	−4.85096	+	8.40210i	−0.220498	+	0.381914i
$485$	−3.74587	+	2.16268i	−0.170091	+	0.0982022i
$486$	−5.45129	−	12.4590i	−0.247276	−	0.565154i
$487$	1.93240	+	3.34702i	0.0875655	+	0.151668i	0.906482	−	0.422245i	$-0.138758\pi$
$487$	1.93240	+	3.34702i	0.0875655	+	0.151668i	−0.818916	+	0.573913i	$0.805425\pi$
$488$	19.9842	+	34.6136i	0.904641	+	1.56688i
$489$	9.17322	+	5.57166i	0.414827	+	0.251959i
$490$	−1.11095	+	1.41604i	−0.0501874	+	0.0639702i
$491$	27.7820	+	16.0399i	1.25378	+	0.723872i	0.971859	−	0.235565i	$-0.0756941\pi$
$491$	27.7820	+	16.0399i	1.25378	+	0.723872i	0.281924	+	0.959437i	$0.409027\pi$
$492$	−13.1693	+	7.21783i	−0.593719	+	0.325405i
$493$		−	15.4039i		−	0.693756i
$494$	−4.80468	+	5.84136i	−0.216173	+	0.262815i
$495$	1.39673	−	0.725621i	0.0627785	−	0.0326142i
$496$	−0.0732015	−	0.0422629i	−0.00328685	−	0.00189766i
$497$	23.5898	+	8.14929i	1.05815	+	0.365546i
$498$	−14.3769	−	0.319674i	−0.644246	−	0.0143249i
$499$	−11.9688			−0.535797			−0.267899	−	0.963447i	$-0.586329\pi$
$499$	−11.9688			−0.535797			−0.267899	+	0.963447i	$0.586329\pi$
$500$	1.80982	+	3.13471i	0.0809378	+	0.140188i
$501$	−0.429137	+	19.2999i	−0.0191724	+	0.862258i
$502$			8.33968i			0.372218i
$503$	15.6463	+	27.1001i	0.697632	+	1.20833i	0.969285	+	0.245940i	$0.0790965\pi$
$503$	15.6463	+	27.1001i	0.697632	+	1.20833i	−0.271653	+	0.962395i	$0.587570\pi$
$504$	3.27422	+	22.1875i	0.145846	+	0.988311i
$505$	−1.34315	+	2.32640i	−0.0597693	+	0.103523i
$506$			11.3310i			0.503722i
$507$	−14.4281	−	17.2867i	−0.640776	−	0.767728i
$508$	1.53113			0.0679331
$509$	−18.9004	+	32.7365i	−0.837748	+	1.45102i	0.0540258	+	0.998540i	$0.482795\pi$
$509$	−18.9004	+	32.7365i	−0.837748	+	1.45102i	−0.891774	+	0.452482i	$0.850539\pi$
$510$	1.43624	+	2.62049i	0.0635977	+	0.116037i
$511$	−15.7727	+	13.6831i	−0.697744	+	0.605303i
$512$		−	0.143972i		−	0.00636275i
$513$	−5.51218	−	11.2127i	−0.243369	−	0.495055i
$514$	19.0038	−	10.9718i	0.838220	−	0.483947i
$515$		−	1.24483i		−	0.0548536i
$516$	0.193698	−	8.71135i	0.00852709	−	0.383496i
$517$	−5.27539	−	3.04575i	−0.232011	−	0.133952i
$518$	−16.1406	−	5.57590i	−0.709177	−	0.244991i
$519$	24.9060	+	15.1274i	1.09325	+	0.664021i
$520$	2.31897	+	1.90741i	0.101693	+	0.0836457i
$521$	−26.0488			−1.14122			−0.570609	−	0.821222i	$-0.693293\pi$
$521$	−26.0488			−1.14122			−0.570609	+	0.821222i	$0.693293\pi$
$522$	−6.00222	−	0.267053i	−0.262710	−	0.0116886i
$523$	6.03224	+	3.48272i	0.263772	+	0.152289i	0.626054	−	0.779780i	$-0.284669\pi$
$523$	6.03224	+	3.48272i	0.263772	+	0.152289i	−0.362282	+	0.932068i	$0.618002\pi$
$524$	−11.9403	−	20.6812i	−0.521614	−	0.903461i
$525$	21.1121	+	7.82286i	0.921407	+	0.341418i
$526$	−6.12491	−	10.6087i	−0.267059	−	0.462559i
$527$	−38.5986	+	22.2849i	−1.68138	+	0.970745i
$528$	−0.0203691	+	0.0335359i	−0.000886453	+	0.00145946i
$529$	15.1161	+	26.1819i	0.657224	+	1.13834i
$530$	−0.374126	+	0.648005i	−0.0162510	+	0.0281475i
$531$	−19.4869	−	0.867016i	−0.845659	−	0.0376253i
$532$	1.49609	+	7.73845i	0.0648638	+	0.335504i
$533$	8.86230	+	23.6256i	0.383869	+	1.02334i
$534$	3.67622	−	6.05256i	0.159086	−	0.261920i
$535$	3.59610	+	2.07621i	0.155473	+	0.0897623i
$536$	−15.4768	−	8.93554i	−0.668496	−	0.385956i
$537$	−14.0666	−	0.312773i	−0.607019	−	0.0134972i
$538$		−	9.57403i		−	0.412766i
$539$	−7.69170	+	9.80403i	−0.331305	+	0.422289i
$540$	−1.70268	+	0.837038i	−0.0732718	+	0.0360204i
$541$	28.2229			1.21340			0.606698	−	0.794933i	$-0.292494\pi$
$541$	28.2229			1.21340			0.606698	+	0.794933i	$0.292494\pi$
$542$	−0.738238	−	1.27867i	−0.0317100	−	0.0549234i
$543$	−5.08286	−	9.27395i	−0.218126	−	0.397983i
$544$	−32.9046	−	18.9975i	−1.41077	−	0.814511i
$545$	−1.80405			−0.0772770
$546$	14.4144	−	0.0578880i	0.616878	−	0.00247738i
$547$	22.3056			0.953720			0.476860	−	0.878979i	$-0.341775\pi$
$547$	22.3056			0.953720			0.476860	+	0.878979i	$0.341775\pi$
$548$	−18.5794	−	10.7268i	−0.793673	−	0.458227i
$549$	−1.88615	+	42.3927i	−0.0804989	+	1.80928i
$550$	−3.81512	−	6.60798i	−0.162677	−	0.281765i
$551$	−5.51996			−0.235158
$552$	0.793775	−	35.6991i	0.0337853	−	1.51946i
$553$	−11.0664	−	12.7564i	−0.470589	−	0.542457i
$554$		−	7.73008i		−	0.328420i
$555$	0.0839542	−	3.77574i	0.00356366	−	0.160271i
$556$	6.19826	+	3.57857i	0.262865	+	0.151765i
$557$	13.7902	+	7.96178i	0.584310	+	0.337351i	0.762844	−	0.646582i	$-0.223802\pi$
$557$	13.7902	+	7.96178i	0.584310	+	0.337351i	−0.178535	+	0.983934i	$0.557136\pi$
$558$	8.01428	+	15.4265i	0.339271	+	0.653057i
$559$	−14.4426	−	2.40086i	−0.610855	−	0.101545i
$560$	0.00974253	−	0.00188354i	0.000411697	−	7.95943e-5i
$561$	9.94388	+	18.1431i	0.419831	+	0.766004i
$562$	−8.73807	+	15.1348i	−0.368593	+	0.638422i
$563$	−6.21716	−	10.7684i	−0.262022	−	0.453836i	0.704757	−	0.709449i	$-0.251056\pi$
$563$	−6.21716	−	10.7684i	−0.262022	−	0.453836i	−0.966779	+	0.255613i	$0.917723\pi$
$564$	6.27589	+	3.81187i	0.264263	+	0.160508i
$565$	0.505928	−	0.292097i	0.0212845	−	0.0122886i
$566$	−0.688366	−	1.19228i	−0.0289342	−	0.0501155i
$567$	−9.74315	+	21.7272i	−0.409174	+	0.912456i
$568$	13.3273	+	23.0836i	0.559203	+	0.968568i
$569$	8.01693	+	4.62857i	0.336087	+	0.194040i	0.658540	−	0.752545i	$-0.271174\pi$
$569$	8.01693	+	4.62857i	0.336087	+	0.194040i	−0.322453	+	0.946585i	$0.604508\pi$
$570$	0.939051	−	0.514674i	0.0393325	−	0.0215573i
$571$	−45.8191			−1.91747			−0.958734	−	0.284303i	$-0.908238\pi$
$571$	−45.8191			−1.91747			−0.958734	+	0.284303i	$0.908238\pi$
$572$	6.14136	+	5.05144i	0.256783	+	0.211211i
$573$	−20.7941	+	34.2356i	−0.868687	+	1.43021i
$574$	−15.2681	−	5.27448i	−0.637278	−	0.220153i
$575$	−31.0440	−	17.9232i	−1.29462	−	0.747451i
$576$	−7.93188	+	12.4278i	−0.330495	+	0.517824i
$577$			4.66388i			0.194160i	0.995277	+	0.0970800i	$0.0309503\pi$
$577$			4.66388i			0.194160i	−0.995277	+	0.0970800i	$0.969050\pi$
$578$	−21.1736	+	12.2246i	−0.880707	+	0.508476i
$579$	0.0536620	−	2.41339i	0.00223012	−	0.100297i
$580$			0.838219i			0.0348052i
$581$	16.4999	+	19.0198i	0.684533	+	0.789074i
$582$	−19.4468	+	10.6584i	−0.806096	+	0.441805i
$583$	−2.59028	+	4.48650i	−0.107278	+	0.185812i
$584$	−22.3004			−0.922798
$585$	0.985874	+	3.03165i	0.0407609	+	0.125343i
$586$		−	20.9425i		−	0.865125i
$587$	1.31108	−	2.27086i	0.0541142	−	0.0937285i	−0.837699	−	0.546132i	$-0.816100\pi$
$587$	1.31108	−	2.27086i	0.0541142	−	0.0937285i	0.891814	+	0.452403i	$0.149433\pi$
$588$	9.53217	−	11.6090i	0.393100	−	0.478746i
$589$	7.98576	+	13.8317i	0.329047	+	0.569927i
$590$		−	1.67179i		−	0.0688267i
$591$	−11.3840	−	0.253125i	−0.468276	−	0.0104122i
$592$	0.0470740	+	0.0815345i	0.00193473	+	0.00335105i
$593$	39.5506			1.62415			0.812074	−	0.583555i	$-0.198339\pi$
$593$	39.5506			1.62415			0.812074	+	0.583555i	$0.198339\pi$
$594$	7.24199	−	3.56015i	0.297142	−	0.146075i
$595$	1.70846	−	4.94550i	0.0700401	−	0.202746i
$596$	−9.46614	−	5.46528i	−0.387748	−	0.223867i
$597$	7.50097	−	12.3497i	0.306994	−	0.505438i
$598$	−22.6390	−	3.76340i	−0.925778	−	0.153897i
$599$		−	12.9372i		−	0.528601i	−0.964440	−	0.264300i	$-0.914859\pi$
$599$		−	12.9372i		−	0.528601i	0.964440	−	0.264300i	$-0.0851411\pi$
$600$	11.5569	+	21.0862i	0.471810	+	0.860842i
$601$	−11.4132	−	6.58940i	−0.465553	−	0.268787i	0.248823	−	0.968549i	$-0.419956\pi$
$601$	−11.4132	−	6.58940i	−0.465553	−	0.268787i	−0.714376	+	0.699762i	$0.753289\pi$
$602$	7.07977	−	6.14181i	0.288550	−	0.250321i
$603$	−8.74718	−	16.8373i	−0.356213	−	0.685667i
$604$	−2.71402	−	4.70082i	−0.110432	−	0.191274i
$605$	−1.15399	−	1.99877i	−0.0469163	−	0.0812615i
$606$	−7.14976	+	11.7714i	−0.290439	+	0.478182i
$607$	5.58838	−	3.22645i	0.226826	−	0.130958i	−0.382281	−	0.924046i	$-0.624861\pi$
$607$	5.58838	−	3.22645i	0.226826	−	0.130958i	0.609107	+	0.793088i	$0.291528\pi$
$608$	−6.80773	+	11.7913i	−0.276090	+	0.478202i
$609$	6.71531	+	8.09773i	0.272118	+	0.328137i
$610$	−3.63690			−0.147254
$611$	7.83747	−	9.52852i	0.317070	−	0.385483i
$612$	−11.4975	−	22.1312i	−0.464757	−	0.894601i
$613$	5.39511	−	9.34461i	0.217907	−	0.377425i	−0.736261	−	0.676697i	$-0.763411\pi$
$613$	5.39511	−	9.34461i	0.217907	−	0.377425i	0.954168	+	0.299272i	$0.0967438\pi$
$614$	−5.97108	+	10.3422i	−0.240973	+	0.417378i
$615$	0.0794159	−	3.57164i	0.00320236	−	0.144022i
$616$	−13.0665	+	2.52617i	−0.526464	+	0.101782i
$617$	−5.78309	+	3.33887i	−0.232818	+	0.134418i	−0.611872	−	0.790957i	$-0.709583\pi$
$617$	−5.78309	+	3.33887i	−0.232818	+	0.134418i	0.379053	+	0.925375i	$0.376250\pi$
$618$	0.141875	−	6.38065i	0.00570704	−	0.256668i
$619$		−	33.6886i		−	1.35406i	−0.735956	−	0.677030i	$-0.763267\pi$
$619$		−	33.6886i		−	1.35406i	0.735956	−	0.677030i	$-0.236733\pi$
$620$	2.10038	−	1.21266i	0.0843534	−	0.0487015i
$621$	21.1016	−	31.4959i	0.846780	−	1.26389i
$622$	11.0796	+	6.39680i	0.444251	+	0.256488i
$623$	−12.1739	+	2.35361i	−0.487737	+	0.0942952i
$624$	−0.0602388	−	0.0518356i	−0.00241148	−	0.00207508i
$625$	23.7046			0.948185
$626$	−2.75239	+	4.76728i	−0.110008	+	0.190539i
$627$	6.50157	−	3.56337i	0.259648	−	0.142307i
$628$	−16.9920	+	9.81031i	−0.678053	+	0.391474i
$629$	49.6434			1.97941
$630$	−1.89743	−	0.751452i	−0.0755952	−	0.0299385i
$631$	13.8645	+	24.0141i	0.551939	+	0.955986i	0.998135	+	0.0610505i	$0.0194451\pi$
$631$	13.8645	+	24.0141i	0.551939	+	0.955986i	−0.446196	+	0.894935i	$0.647222\pi$
$632$		−	18.0358i		−	0.717424i
$633$	−0.207732	+	9.34249i	−0.00825659	+	0.371331i
$634$	6.97683	−	12.0842i	0.277085	−	0.479926i
$635$	−0.182120	+	0.315441i	−0.00722721	+	0.0125179i
$636$	3.24183	−	5.33738i	0.128547	−	0.211641i
$637$	−17.0336	−	18.6241i	−0.674895	−	0.737914i
$638$		−	3.56518i		−	0.141147i
$639$	−1.25786	+	28.2715i	−0.0497603	+	1.11840i
$640$	1.79621	+	1.03704i	0.0710014	+	0.0409927i
$641$	−41.8850	+	24.1823i	−1.65436	+	0.955144i	−0.679108	+	0.734039i	$0.737633\pi$
$641$	−41.8850	+	24.1823i	−1.65436	+	0.955144i	−0.975250	+	0.221105i	$0.929034\pi$
$642$	18.1960	+	11.0519i	0.718139	+	0.436185i
$643$	37.3109	−	21.5414i	1.47140	−	0.849511i	0.471913	−	0.881645i	$-0.343564\pi$
$643$	37.3109	−	21.5414i	1.47140	−	0.849511i	0.999484	+	0.0321341i	$0.0102304\pi$
$644$	−18.0650	+	15.6716i	−0.711860	+	0.617549i
$645$	1.77165	+	1.07607i	0.0697588	+	0.0423703i
$646$	7.03798	+	12.1901i	0.276906	+	0.479615i
$647$	12.5613	−	21.7567i	0.493834	−	0.855345i	−0.506141	−	0.862451i	$-0.668928\pi$
$647$	12.5613	−	21.7567i	0.493834	−	0.855345i	0.999975	+	0.00710546i	$0.00226176\pi$
$648$	−23.0659	+	10.7092i	−0.906114	+	0.420699i
$649$		−	11.5748i		−	0.454349i
$650$	14.4697	−	5.42779i	0.567550	−	0.212896i
$651$	10.5760	−	28.5421i	0.414504	−	1.11865i
$652$	3.83848	−	6.64845i	0.150327	−	0.260373i
$653$	26.4531	+	15.2727i	1.03519	+	0.597668i	0.918467	−	0.395497i	$-0.129428\pi$
$653$	26.4531	+	15.2727i	1.03519	+	0.597668i	0.116723	+	0.993164i	$0.462761\pi$
$654$	−9.24708	−	0.205610i	−0.361590	−	0.00804000i
$655$	5.68092			0.221972
$656$	0.0445293	+	0.0771270i	0.00173858	+	0.00301130i
$657$	−19.9580	−	12.7379i	−0.778636	−	0.496955i
$658$	1.49922	+	7.75462i	0.0584456	+	0.302306i
$659$	−5.58846	+	3.22650i	−0.217695	+	0.125686i	−0.604883	−	0.796315i	$-0.706780\pi$
$659$	−5.58846	+	3.22650i	−0.217695	+	0.125686i	0.387187	+	0.922001i	$0.373447\pi$
$660$	−0.541107	−	0.987279i	−0.0210626	−	0.0384298i
$661$	−1.43829	−	0.830398i	−0.0559430	−	0.0322987i	0.471768	−	0.881723i	$-0.343616\pi$
$661$	−1.43829	−	0.830398i	−0.0559430	−	0.0322987i	−0.527711	+	0.849424i	$0.676949\pi$
$662$			11.6180i			0.451545i
$663$	−39.5523	+	13.8417i	−1.53608	+	0.537567i
$664$			26.8913i			1.04359i
$665$	−1.77221	−	0.612225i	−0.0687234	−	0.0237411i
$666$	0.860654	−	19.3439i	0.0333497	−	0.749560i
$667$	−8.37453	−	14.5051i	−0.324263	−	0.561640i
$668$	13.8084			0.534263
$669$	−41.6381	−	0.925829i	−1.60982	−	0.0357946i
$670$	1.40831	−	0.813086i	0.0544076	−	0.0314122i
$671$	−25.1803			−0.972075
$672$	25.5797	−	4.35788i	0.986759	−	0.168109i
$673$	17.7957	−	30.8231i	0.685974	−	1.18814i	−0.287155	−	0.957884i	$-0.592710\pi$
$673$	17.7957	−	30.8231i	0.685974	−	1.18814i	0.973130	−	0.230258i	$-0.0739570\pi$
$674$	−3.95048	−	2.28081i	−0.152167	−	0.0878536i
$675$	−1.70141	+	25.4727i	−0.0654872	+	0.980443i
$676$	−12.1324	+	10.5926i	−0.466632	+	0.407406i
$677$	0.895572			0.0344196			0.0172098	−	0.999852i	$-0.494522\pi$
$677$	0.895572			0.0344196			0.0172098	+	0.999852i	$0.494522\pi$
$678$	2.62654	−	1.43955i	0.100872	−	0.0552857i
$679$	36.7008	+	12.6786i	1.40845	+	0.486559i
$680$	4.83938	−	2.79401i	0.185582	−	0.107146i
$681$	15.4796	+	9.40204i	0.593179	+	0.360287i
$682$	−8.93352	+	5.15777i	−0.342082	+	0.197501i
$683$	31.0960	−	17.9533i	1.18986	−	0.686964i	0.231583	−	0.972815i	$-0.425610\pi$
$683$	31.0960	−	17.9533i	1.18986	−	0.686964i	0.958274	+	0.285851i	$0.0922763\pi$
$684$	−7.93069	+	4.12010i	−0.303238	+	0.157536i
$685$	4.41984	−	2.55179i	0.168873	−	0.0974990i
$686$	16.1375	−	0.796698i	0.616132	−	0.0304181i
$687$	−2.52355	−	4.60435i	−0.0962794	−	0.175667i
$688$	−0.0516736			−0.00197004
$689$	−8.10361	−	6.66544i	−0.308723	−	0.253933i
$690$	2.77711	+	1.68677i	0.105723	+	0.0642141i
$691$	42.4219	+	24.4923i	1.61380	+	0.931730i	0.988478	+	0.151368i	$0.0483677\pi$
$691$	42.4219	+	24.4923i	1.61380	+	0.931730i	0.625327	+	0.780363i	$0.284966\pi$
$692$	10.4218	−	18.0510i	0.396176	−	0.686197i
$693$	−13.1369	−	5.20272i	−0.499031	−	0.197635i
$694$	16.0920			0.610842
$695$	−1.47450	+	0.851302i	−0.0559309	+	0.0322917i
$696$	−0.249754	+	11.2324i	−0.00946690	+	0.425763i
$697$	46.9599			1.77873
$698$	−9.24119	−	16.0062i	−0.349784	−	0.605844i
$699$	−4.84272	−	8.83580i	−0.183168	−	0.334201i
$700$	5.25851	−	15.2218i	0.198753	−	0.575331i
$701$			28.4127i			1.07313i	0.843858	+	0.536566i	$0.180279\pi$
$701$			28.4127i			1.07313i	−0.843858	+	0.536566i	$0.819721\pi$
$702$	4.70781	+	15.6518i	0.177685	+	0.590739i
$703$		−	17.7897i		−	0.670950i
$704$	−7.57644	−	4.37426i	−0.285548	−	0.164861i
$705$	−1.53179	+	0.839545i	−0.0576907	+	0.0316191i
$706$	−9.83996	+	5.68110i	−0.370332	+	0.213811i
$707$	23.6766	−	4.57745i	0.890451	−	0.172153i
$708$	−0.310159	+	13.9490i	−0.0116565	+	0.524237i
$709$	−17.6937	−	30.6463i	−0.664499	−	1.15095i	−0.979421	−	0.201829i	$-0.935312\pi$
$709$	−17.6937	−	30.6463i	−0.664499	−	1.15095i	0.314922	−	0.949118i	$-0.398022\pi$
$710$	−2.42543			−0.0910249
$711$	10.3020	−	16.1413i	0.386354	−	0.605346i
$712$	−11.4682	−	6.62118i	−0.429790	−	0.248139i
$713$	−24.2310	+	41.9693i	−0.907457	+	1.57176i
$714$	9.32076	−	25.1546i	0.348821	−	0.941387i
$715$	−1.77117	+	0.664390i	−0.0662380	+	0.0248468i
$716$			10.0641i			0.376115i
$717$	14.6740	+	26.7735i	0.548011	+	0.999876i
$718$	−3.44259	+	5.96275i	−0.128476	+	0.222528i
$719$	−21.3721	−	37.0175i	−0.797043	−	1.38052i	−0.921534	−	0.388299i	$-0.873063\pi$
$719$	−21.3721	−	37.0175i	−0.797043	−	1.38052i	0.124490	−	0.992221i	$-0.460270\pi$
$720$	0.00518711	+	0.00998456i	0.000193312	+	0.000372102i
$721$	−8.44120	+	7.32287i	−0.314367	+	0.272718i
$722$	−9.98663	+	5.76578i	−0.371664	+	0.214580i
$723$	−15.4200	+	25.3876i	−0.573476	+	0.944176i
$724$	−6.55107	+	3.78226i	−0.243468	+	0.140567i
$725$	9.76770	+	5.63938i	0.362763	+	0.209441i
$726$	−5.68724	−	10.3767i	−0.211073	−	0.385115i
$727$		−	25.0976i		−	0.930820i	−0.885095	−	0.465410i	$-0.845907\pi$
$727$		−	25.0976i		−	0.930820i	0.885095	−	0.465410i	$-0.154093\pi$
$728$	−0.707416	−	26.9456i	−0.0262186	−	0.998670i
$729$	−26.7602	−	3.59083i	−0.991117	−	0.132994i
$730$	1.01461	−	1.75735i	0.0375524	−	0.0650426i
$731$	−13.6235	+	23.5966i	−0.503884	+	0.872752i
$732$	30.3454	+	0.674735i	1.12160	+	0.0249389i
$733$		−	35.0242i		−	1.29365i	−0.762639	−	0.646824i	$-0.776097\pi$
$733$		−	35.0242i		−	1.29365i	0.762639	−	0.646824i	$-0.223903\pi$
$734$	5.07185	+	8.78471i	0.187205	+	0.324249i
$735$	1.25786	+	3.34462i	0.0463968	+	0.123368i
$736$	−41.3130			−1.52282
$737$	9.75048	−	5.62944i	0.359164	−	0.207363i
$738$	0.814130	−	18.2982i	0.0299685	−	0.673567i
$739$	−1.43956	+	2.49339i	−0.0529551	+	0.0917209i	−0.891288	−	0.453438i	$-0.850197\pi$
$739$	−1.43956	+	2.49339i	−0.0529551	+	0.0917209i	0.838333	+	0.545159i	$0.183531\pi$
$740$	−2.70140			−0.0993056
$741$	4.96016	+	14.1735i	0.182216	+	0.520677i
$742$	6.59498	−	1.27502i	0.242109	−	0.0468075i
$743$	−23.2889	−	13.4459i	−0.854389	−	0.493281i	0.00774064	−	0.999970i	$-0.497536\pi$
$743$	−23.2889	−	13.4459i	−0.854389	−	0.493281i	−0.862129	+	0.506689i	$0.830869\pi$
$744$	28.5071	−	15.6242i	1.04512	−	0.572809i
$745$	2.25189	−	1.30013i	0.0825029	−	0.0476331i
$746$		−	8.70312i		−	0.318644i
$747$	−15.3603	+	24.0667i	−0.562003	+	0.880554i
$748$	12.8162	−	7.39944i	0.468607	−	0.270550i
$749$	−7.07572	−	36.5988i	−0.258541	−	1.33729i
$750$	−4.41364	−	0.0981379i	−0.161163	−	0.00358349i
$751$	−22.7966	+	39.4848i	−0.831859	+	1.44082i	0.0647030	+	0.997905i	$0.479390\pi$
$751$	−22.7966	+	39.4848i	−0.831859	+	1.44082i	−0.896562	+	0.442918i	$0.853943\pi$
$752$	0.0217725	−	0.0377111i	0.000793962	−	0.00137518i
$753$	14.1516	+	8.59542i	0.515712	+	0.313234i
$754$	7.12316	+	1.18412i	0.259410	+	0.0431230i
$755$	1.29127			0.0469942
$756$	15.6922	+	6.62195i	0.570721	+	0.240838i
$757$	−21.6051	+	37.4211i	−0.785250	+	1.36009i	0.143600	+	0.989636i	$0.454132\pi$
$757$	−21.6051	+	37.4211i	−0.785250	+	1.36009i	−0.928850	+	0.370457i	$0.879201\pi$
$758$	26.0946	−	15.0657i	0.947800	−	0.547212i
$759$	19.2274	+	11.6784i	0.697912	+	0.423900i
$760$	−1.00123	−	1.73418i	−0.0363185	−	0.0629055i
$761$	15.8976	+	27.5354i	0.576287	+	0.998159i	0.995900	+	0.0904556i	$0.0288323\pi$
$761$	15.8976	+	27.5354i	0.576287	+	0.998159i	−0.419613	+	0.907703i	$0.637834\pi$
$762$	−0.969450	+	1.59611i	−0.0351195	+	0.0578210i
$763$	10.6126	+	12.2333i	0.384201	+	0.442875i
$764$	24.8129	+	14.3257i	0.897698	+	0.518286i
$765$	5.92699	+	0.263705i	0.214291	+	0.00953428i
$766$		−	2.92856i		−	0.105813i
$767$	23.1261	+	3.84437i	0.835036	+	0.138812i
$768$	23.6391	+	14.3580i	0.853004	+	0.518100i
$769$	8.79369	+	5.07704i	0.317109	+	0.183083i	0.650103	−	0.759846i	$-0.274726\pi$
$769$	8.79369	+	5.07704i	0.317109	+	0.183083i	−0.332994	+	0.942929i	$0.608059\pi$
$770$	0.395418	−	1.14462i	0.0142499	−	0.0412492i
$771$	0.968467	−	43.5557i	0.0348785	−	1.56862i
$772$	−1.72669			−0.0621449
$773$	−13.7744	−	23.8580i	−0.495432	−	0.858114i	0.504554	−	0.863380i	$-0.331657\pi$
$773$	−13.7744	−	23.8580i	−0.495432	−	0.858114i	−0.999986	+	0.00526619i	$0.998324\pi$
$774$	8.95839	+	5.71758i	0.322003	+	0.205514i
$775$		−	32.6341i		−	1.17225i
$776$	20.7345	+	35.9132i	0.744326	+	1.28921i
$777$	−26.0973	+	21.6420i	−0.936234	+	0.776403i
$778$	6.16886	−	10.6848i	0.221164	−	0.383068i
$779$		−	16.8280i		−	0.602926i
$780$	2.15228	−	0.753212i	0.0770641	−	0.0269693i
$781$	−16.7926			−0.600887
$782$	−21.3551	+	36.9882i	−0.763658	+	1.32269i
$783$	−6.63944	+	9.90990i	−0.237274	+	0.354151i
$784$	−0.0700841	−	0.0549841i	−0.00250300	−	0.00196372i
$785$		−	4.66753i		−	0.166591i
$786$	29.1189	+	0.647463i	1.03864	+	0.0230942i
$787$	−3.06345	+	1.76869i	−0.109200	+	0.0630469i	−0.553605	−	0.832779i	$-0.686748\pi$
$787$	−3.06345	+	1.76869i	−0.109200	+	0.0630469i	0.444405	+	0.895826i	$0.353415\pi$
$788$			8.14484i			0.290148i
$789$	−24.3145	−	0.540637i	−0.865619	−	0.0192472i
$790$	1.42128	+	0.820578i	0.0505670	+	0.0291949i
$791$	−4.95691	−	1.71240i	−0.176247	−	0.0608861i
$792$	−6.95684	−	13.3911i	−0.247200	−	0.475831i
$793$	8.36323	−	50.3097i	0.296987	−	1.78655i
$794$	6.87684			0.244050
$795$	0.713998	+	1.30273i	0.0253229	+	0.0462030i
$796$	−8.95063	−	5.16765i	−0.317247	−	0.183162i
$797$	4.37433	+	7.57656i	0.154947	+	0.268375i	0.933040	−	0.359774i	$-0.117146\pi$
$797$	4.37433	+	7.57656i	0.154947	+	0.268375i	−0.778093	+	0.628149i	$0.783813\pi$
$798$	−9.01411	−	3.34008i	−0.319096	−	0.118238i
$799$	−11.4805	−	19.8848i	−0.406150	−	0.703472i
$800$	24.0929	−	13.9100i	0.851812	−	0.491794i
$801$	−6.48161	−	12.4763i	−0.229016	−	0.440829i
$802$	−8.05737	−	13.9558i	−0.284516	−	0.492795i
$803$	7.02470	−	12.1671i	0.247896	−	0.429369i
$804$	−11.9014	+	6.52291i	−0.419730	+	0.230045i
$805$	−1.07991	−	5.58577i	−0.0380618	−	0.196872i
$806$	−7.33799	−	19.5621i	−0.258470	−	0.689044i
$807$	−16.2461	−	9.86762i	−0.571891	−	0.347357i
$808$	22.3042	+	12.8773i	0.784658	+	0.453023i
$809$	−28.0686	−	16.2054i	−0.986840	−	0.569752i	−0.0825117	−	0.996590i	$-0.526294\pi$
$809$	−28.0686	−	16.2054i	−0.986840	−	0.569752i	−0.904328	+	0.426838i	$0.859628\pi$
$810$	0.205509	−	2.30492i	0.00722085	−	0.0809865i
$811$		−	21.1481i		−	0.742609i	−0.928511	−	0.371304i	$-0.878911\pi$
$811$		−	21.1481i		−	0.742609i	0.928511	−	0.371304i	$-0.121089\pi$
$812$	5.68398	−	4.93094i	0.199469	−	0.173042i
$813$	−2.93064	−	0.0651631i	−0.102782	−	0.00228537i
$814$	11.4898			0.402718
$815$	0.913133	+	1.58159i	0.0319856	+	0.0554008i
$816$	−0.129696	+	0.0710838i	−0.00454028	+	0.00248843i
$817$	8.45582	+	4.88197i	0.295832	+	0.170798i
$818$	−24.0537			−0.841020
$819$	14.7581	−	24.5193i	0.515691	−	0.856774i
$820$	−2.55537			−0.0892375
$821$	32.7783	+	18.9246i	1.14397	+	0.660472i	0.947411	−	0.320020i	$-0.103690\pi$
$821$	32.7783	+	18.9246i	1.14397	+	0.660472i	0.196560	+	0.980492i	$0.437023\pi$
$822$	22.9457	−	12.5761i	0.800325	−	0.438641i
$823$	11.6358	+	20.1538i	0.405598	+	0.702516i	0.994391	−	0.105768i	$-0.0337300\pi$
$823$	11.6358	+	20.1538i	0.405598	+	0.702516i	−0.588793	+	0.808284i	$0.700397\pi$
$824$	−11.9347			−0.415765
$825$	−15.1452	−	0.336755i	−0.527286	−	0.0117243i
$826$	−11.3365	+	9.83456i	−0.394446	+	0.342188i
$827$		−	11.0301i		−	0.383554i	−0.981439	−	0.191777i	$-0.938575\pi$
$827$		−	11.0301i		−	0.383554i	0.981439	−	0.191777i	$-0.0614251\pi$
$828$	−22.8585	−	14.5892i	−0.794389	−	0.507009i
$829$	−28.5897	−	16.5063i	−0.992962	−	0.573287i	−0.0868035	−	0.996225i	$-0.527665\pi$
$829$	−28.5897	−	16.5063i	−0.992962	−	0.573287i	−0.906158	+	0.422939i	$0.860999\pi$
$830$	−2.11914	−	1.22348i	−0.0735563	−	0.0424677i
$831$	−13.1171	−	7.96712i	−0.455029	−	0.276376i
$832$	11.2561	−	13.6847i	0.390234	−	0.474433i
$833$	−43.5858	+	17.5074i	−1.51016	+	0.606597i
$834$	−7.65491	+	4.19550i	−0.265068	+	0.145278i
$835$	−1.64243	+	2.84478i	−0.0568387	+	0.0984475i
$836$	−2.65158	−	4.59267i	−0.0917068	−	0.158841i
$837$	34.4372	+	2.30018i	1.19032	+	0.0795060i
$838$	−11.9650	+	6.90798i	−0.413323	+	0.238632i
$839$	−24.6627	−	42.7170i	−0.851451	−	1.47476i	−0.879899	−	0.475161i	$-0.842390\pi$
$839$	−24.6627	−	42.7170i	−0.851451	−	1.47476i	0.0284483	−	0.999595i	$-0.490943\pi$
$840$	−1.32598	+	3.57852i	−0.0457508	+	0.123471i
$841$	−11.8650	−	20.5508i	−0.409139	−	0.708650i
$842$	9.30775	+	5.37383i	0.320766	+	0.185194i
$843$	16.6761	+	30.4265i	0.574356	+	1.04794i
$844$	6.68420			0.230080
$845$	−0.739171	−	3.75943i	−0.0254283	−	0.129328i
$846$	−7.94726	+	4.12870i	−0.273232	+	0.141948i
$847$	−6.76519	+	19.5833i	−0.232455	+	0.672888i
$848$	−0.0320717	−	0.0185166i	−0.00110135	−	0.000635863i
$849$	−2.73266	−	0.0607610i	−0.0937846	−	0.00208531i
$850$		−	28.7610i		−	0.986494i
$851$	46.7469	−	26.9893i	1.60246	−	0.925182i
$852$	20.2372	+	0.449977i	0.693315	+	0.0154160i
$853$		−	7.04856i		−	0.241338i	−0.992693	−	0.120669i	$-0.961496\pi$
$853$		−	7.04856i		−	0.241338i	0.992693	−	0.120669i	$-0.0385040\pi$
$854$	21.3946	+	24.6619i	0.732108	+	0.843914i
$855$	0.0944984	−	2.12393i	0.00323178	−	0.0726368i
$856$	19.9055	−	34.4773i	0.680355	−	1.17841i
$857$	42.2740			1.44405			0.722026	−	0.691865i	$-0.243211\pi$
$857$	42.2740			1.44405			0.722026	+	0.691865i	$0.243211\pi$
$858$	−9.15427	+	3.20362i	−0.312521	+	0.109370i
$859$		−	27.0191i		−	0.921879i	−0.887432	−	0.460939i	$-0.847513\pi$
$859$		−	27.0191i		−	0.921879i	0.887432	−	0.460939i	$-0.152487\pi$
$860$	0.741339	−	1.28404i	0.0252794	−	0.0437853i
$861$	−24.6865	+	20.4721i	−0.841315	+	0.697688i
$862$	4.27659	+	7.40727i	0.145661	+	0.252293i
$863$			38.2612i			1.30243i	0.758895	+	0.651213i	$0.225740\pi$
$863$			38.2612i			1.30243i	−0.758895	+	0.651213i	$0.774260\pi$
$864$	12.9804	+	26.4045i	0.441603	+	0.898299i
$865$	2.47922	+	4.29414i	0.0842960	+	0.146005i
$866$	19.8018			0.672892
$867$	−1.07905	+	48.5289i	−0.0366464	+	1.64813i
$868$	−20.5789	−	7.10913i	−0.698492	−	0.241300i
$869$	9.84033	+	5.68132i	0.333810	+	0.192726i
$870$	−0.873791	−	0.530725i	−0.0296243	−	0.0179933i
$871$	8.00905	+	21.3510i	0.271376	+	0.723451i
$872$			17.2962i			0.585723i
$873$	−1.95697	+	43.9844i	−0.0662334	+	1.48865i
$874$	13.2547	+	7.65259i	0.448346	+	0.258853i
$875$	5.06539	+	5.83896i	0.171241	+	0.197393i
$876$	−8.79168	+	14.4747i	−0.297043	+	0.489055i
$877$	6.06294	+	10.5013i	0.204731	+	0.354604i	0.950047	−	0.312107i	$-0.101035\pi$
$877$	6.06294	+	10.5013i	0.204731	+	0.354604i	−0.745316	+	0.666711i	$0.767701\pi$
$878$	3.46601	+	6.00331i	0.116972	+	0.202602i
$879$	−35.5372	−	21.5847i	−1.19864	−	0.728032i
$880$	−0.00578207	+	0.00333828i	−0.000194913	+	0.000112533i
$881$	20.2467	−	35.0683i	0.682129	−	1.18148i	−0.292201	−	0.956357i	$-0.594387\pi$
$881$	20.2467	−	35.0683i	0.682129	−	1.18148i	0.974330	−	0.225125i	$-0.0722792\pi$
$882$	6.06626	+	17.2870i	0.204261	+	0.582084i
$883$	−24.6331			−0.828971			−0.414486	−	0.910056i	$-0.636039\pi$
$883$	−24.6331			−0.828971			−0.414486	+	0.910056i	$0.636039\pi$
$884$	10.5272	+	28.0641i	0.354069	+	0.943899i
$885$	−2.83686	−	1.72306i	−0.0953600	−	0.0579200i
$886$	9.96230	−	17.2552i	0.334690	−	0.579700i
$887$	−22.8981	+	39.6606i	−0.768841	+	1.33167i	0.169350	+	0.985556i	$0.445833\pi$
$887$	−22.8981	+	39.6606i	−0.768841	+	1.33167i	−0.938192	+	0.346116i	$0.887500\pi$
$888$	−36.1996	−	0.804905i	−1.21478	−	0.0270108i
$889$	3.21036	−	0.620666i	0.107672	−	0.0208165i
$890$	1.04355	−	0.602492i	0.0349797	−	0.0201956i
$891$	1.42285	−	15.9582i	0.0476673	−	0.534620i
$892$			29.7905i			0.997460i
$893$	−7.12567	+	4.11401i	−0.238452	+	0.137670i
$894$	11.6908	−	6.40747i	0.390998	−	0.214298i
$895$	−2.07339	−	1.19707i	−0.0693059	−	0.0400138i
$896$	−3.53424	−	18.2807i	−0.118071	−	0.610715i
$897$	−29.7193	+	34.5372i	−0.992299	+	1.15316i
$898$	7.86248			0.262374
$899$	7.62405	−	13.2052i	0.254276	−	0.440419i
$900$	18.2428	+	0.811663i	0.608093	+	0.0270554i
$901$	−16.9112	+	9.76366i	−0.563392	+	0.325275i
$902$	10.8687			0.361889
$903$	−3.12513	−	18.3438i	−0.103998	−	0.610443i
$904$	−2.80046	−	4.85054i	−0.0931420	−	0.161327i
$905$		−	1.79952i		−	0.0598179i
$906$	6.61872	+	0.147168i	0.219892	+	0.00488933i
$907$	8.53045	−	14.7752i	0.283249	−	0.490601i	−0.688934	−	0.724824i	$-0.741921\pi$
$907$	8.53045	−	14.7752i	0.283249	−	0.490601i	0.972183	+	0.234223i	$0.0752544\pi$
$908$	6.47735	−	11.2191i	0.214958	−	0.372319i
$909$	12.6059	+	24.2648i	0.418110	+	0.804812i
$910$	2.15560	+	1.17020i	0.0714573	+	0.0387919i
$911$		−	16.7496i		−	0.554939i	−0.960734	−	0.277470i	$-0.910504\pi$
$911$		−	16.7496i		−	0.554939i	0.960734	−	0.277470i	$-0.0894958\pi$
$912$	0.0254728	+	0.0464765i	0.000843489	+	0.00153899i
$913$	−14.6720	−	8.47085i	−0.485571	−	0.280344i
$914$	3.16568	−	1.82771i	0.104712	−	0.0604552i
$915$	−3.74843	+	6.17144i	−0.123919	+	0.204022i
$916$	−3.25249	+	1.87782i	−0.107465	+	0.0620451i
$917$	−33.4188	−	38.5225i	−1.10359	−	1.27212i
$918$	30.3501	+	2.02719i	1.00170	+	0.0669072i
$919$	−3.37234	−	5.84106i	−0.111243	−	0.192679i	0.805029	−	0.593236i	$-0.202150\pi$
$919$	−3.37234	−	5.84106i	−0.111243	−	0.192679i	−0.916272	+	0.400557i	$0.868817\pi$
$920$	3.03801	−	5.26198i	0.100160	−	0.173482i
$921$	11.3955	+	20.7916i	0.375493	+	0.685108i
$922$		−	15.6079i		−	0.514018i
$923$	5.57740	−	33.5513i	0.183582	−	1.10435i
$924$	−3.51163	+	9.47707i	−0.115524	+	0.311773i
$925$	−18.1745	+	31.4792i	−0.597575	+	1.03503i
$926$	2.87715	+	1.66112i	0.0945489	+	0.0545878i
$927$	−10.6811	−	6.81706i	−0.350813	−	0.223902i
$928$	12.9988			0.426705
$929$	−5.73246	−	9.92891i	−0.188076	−	0.325757i	0.756533	−	0.653956i	$-0.226892\pi$
$929$	−5.73246	−	9.92891i	−0.188076	−	0.325757i	−0.944609	+	0.328199i	$0.893558\pi$
$930$	−0.0657565	+	2.95732i	−0.00215624	+	0.0969744i
$931$	6.27377	+	15.6189i	0.205614	+	0.511889i
$932$	−6.24156	+	3.60357i	−0.204449	+	0.118039i
$933$	22.2740	−	12.2079i	0.729219	−	0.399670i
$934$	15.0979	+	8.71676i	0.494018	+	0.285221i
$935$			3.52049i			0.115132i
$936$	29.0657	−	9.45199i	0.950042	−	0.308948i
$937$			20.0207i			0.654048i	0.945016	+	0.327024i	$0.106046\pi$
$937$			20.0207i			0.654048i	−0.945016	+	0.327024i	$0.893954\pi$
$938$	−13.7981	−	4.76666i	−0.450524	−	0.155637i
$939$	5.25279	+	9.58400i	0.171418	+	0.312762i
$940$	0.624723	+	1.08205i	0.0203762	+	0.0352926i
$941$	22.0525			0.718893			0.359446	−	0.933166i	$-0.382966\pi$
$941$	22.0525			0.718893			0.359446	+	0.933166i	$0.382966\pi$
$942$	0.531965	−	23.9245i	0.0173324	−	0.779503i
$943$	44.2199	−	25.5304i	1.44000	−	0.831383i
$944$	0.0827422			0.00269303
$945$	−3.23074	+	2.44524i	−0.105096	+	0.0795436i
$946$	−3.15312	+	5.46137i	−0.102517	+	0.177564i
$947$	−1.49620	−	0.863830i	−0.0486199	−	0.0280707i	0.475493	−	0.879719i	$-0.342270\pi$
$947$	−1.49620	−	0.863830i	−0.0486199	−	0.0280707i	−0.524113	+	0.851649i	$0.675603\pi$
$948$	−11.7066	−	7.11039i	−0.380213	−	0.230935i
$949$	21.9766	+	18.0763i	0.713389	+	0.586783i
$950$	−10.3065			−0.334386
$951$	−13.3149	−	24.2937i	−0.431765	−	0.787778i
$952$	−47.4146	−	16.3797i	−1.53671	−	0.530870i
$953$	−19.1539	+	11.0585i	−0.620455	+	0.358220i	−0.777046	−	0.629444i	$-0.783283\pi$
$953$	−19.1539	+	11.0585i	−0.620455	+	0.358220i	0.156591	+	0.987664i	$0.449950\pi$
$954$	3.51129	+	6.75881i	0.113682	+	0.218825i
$955$	−5.90271	+	3.40793i	−0.191007	+	0.110278i
$956$	18.9127	−	10.9192i	0.611680	−	0.353153i
$957$	−6.04974	−	3.67451i	−0.195560	−	0.118780i
$958$	18.6607	−	10.7737i	0.602899	−	0.348084i
$959$	−43.3041	−	14.9597i	−1.39836	−	0.483075i
$960$	−2.19994	+	1.20574i	−0.0710029	+	0.0389152i
$961$	−13.1190			−0.423195
$962$	−3.81616	+	22.9564i	−0.123038	+	0.740145i
$963$	37.5080	−	19.4859i	1.20868	−	0.627924i
$964$	18.4001	+	10.6233i	0.592628	+	0.342154i
$965$	0.205380	−	0.355729i	0.00661142	−	0.0114513i
$966$	−4.89871	−	28.7542i	−0.157613	−	0.925153i
$967$	−33.8689			−1.08915			−0.544575	−	0.838712i	$-0.683309\pi$
$967$	−33.8689			−1.08915			−0.544575	+	0.838712i	$0.683309\pi$
$968$	−19.1630	+	11.0638i	−0.615923	+	0.355603i
$969$	27.9392	+	0.621232i	0.897536	+	0.0199568i
$970$	−3.77346			−0.121158
$971$	−4.23035	−	7.32719i	−0.135758	−	0.235141i	0.790128	−	0.612941i	$-0.210014\pi$
$971$	−4.23035	−	7.32719i	−0.135758	−	0.235141i	−0.925887	+	0.377801i	$0.876680\pi$
$972$	−2.14233	+	19.1935i	−0.0687154	+	0.615633i
$973$	14.4466	+	4.99070i	0.463138	+	0.159995i
$974$			3.37167i			0.108035i
$975$	5.70305	−	30.1479i	0.182644	−	0.965504i
$976$		−	0.180001i		−	0.00576171i
$977$	−8.96263	−	5.17457i	−0.286740	−	0.165549i	0.349731	−	0.936850i	$-0.386273\pi$
$977$	−8.96263	−	5.17457i	−0.286740	−	0.165549i	−0.636471	+	0.771301i	$0.719606\pi$
$978$	4.50022	+	8.21089i	0.143901	+	0.262555i
$979$	7.22505	−	4.17138i	0.230914	−	0.133318i
$980$	2.37177	−	0.952687i	0.0757634	−	0.0304325i
$981$	−9.87954	+	15.4794i	−0.315430	+	0.494220i
$982$	13.9933	+	24.2371i	0.446544	+	0.773437i
$983$	55.3282			1.76470			0.882348	−	0.470598i	$-0.155962\pi$
$983$	55.3282			1.76470			0.882348	+	0.470598i	$0.155962\pi$
$984$	−34.2428	−	0.761394i	−1.09162	−	0.0242724i
$985$	−1.67798	−	0.968784i	−0.0534650	−	0.0308680i
$986$	6.71920	−	11.6380i	0.213983	−	0.370629i
$987$	14.7040	+	5.44840i	0.468032	+	0.173424i
$988$	10.0567	−	3.77242i	0.319948	−	0.120017i
$989$			29.6264i			0.942066i
$990$	1.37178	+	0.0610338i	0.0435981	+	0.00193978i
$991$	10.4145	−	18.0384i	0.330827	−	0.573008i	−0.651848	−	0.758350i	$-0.726006\pi$
$991$	10.4145	−	18.0384i	0.330827	−	0.573008i	0.982674	+	0.185342i	$0.0593391\pi$
$992$	−18.8054	−	32.5719i	−0.597071	−	1.03416i
$993$	19.7145	+	11.9742i	0.625620	+	0.379990i
$994$	14.2679	+	16.4469i	0.452552	+	0.521664i
$995$	2.12926	−	1.22933i	0.0675019	−	0.0389723i
$996$	17.4546	+	10.6016i	0.553069	+	0.335924i
$997$	−30.6544	+	17.6983i	−0.970833	+	0.560511i	−0.899490	−	0.436941i	$-0.856062\pi$
$997$	−30.6544	+	17.6983i	−0.970833	+	0.560511i	−0.0713429	+	0.997452i	$0.522728\pi$
$998$	−9.04271	−	5.22081i	−0.286242	−	0.165262i
$999$	−31.9375	−	21.3975i	−1.01046	−	0.676987i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bn.c.230.20	yes	64
3.2	odd	2	inner	273.2.bn.c.230.14	yes	64
7.6	odd	2	inner	273.2.bn.c.230.19	yes	64
13.3	even	3	inner	273.2.bn.c.146.13	✓	64
21.20	even	2	inner	273.2.bn.c.230.13	yes	64
39.29	odd	6	inner	273.2.bn.c.146.19	yes	64
91.55	odd	6	inner	273.2.bn.c.146.14	yes	64
273.146	even	6	inner	273.2.bn.c.146.20	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bn.c.146.13	✓	64	13.3	even	3	inner
273.2.bn.c.146.14	yes	64	91.55	odd	6	inner
273.2.bn.c.146.19	yes	64	39.29	odd	6	inner
273.2.bn.c.146.20	yes	64	273.146	even	6	inner
273.2.bn.c.230.13	yes	64	21.20	even	2	inner
273.2.bn.c.230.14	yes	64	3.2	odd	2	inner
273.2.bn.c.230.19	yes	64	7.6	odd	2	inner
273.2.bn.c.230.20	yes	64	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bn (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.755524 + 0.436202i) q^{2} +(1.51888 - 0.832467i) q^{3} +(-0.619456 - 1.07293i) q^{4} +0.294723 q^{5} +(1.51067 + 0.0335901i) q^{6} +(-1.73375 - 1.99853i) q^{7} -2.82564i q^{8} +(1.61400 - 2.52884i) q^{9} +O(q^{10})\)	\(q+(0.755524 + 0.436202i) q^{2} +(1.51888 - 0.832467i) q^{3} +(-0.619456 - 1.07293i) q^{4} +0.294723 q^{5} +(1.51067 + 0.0335901i) q^{6} +(-1.73375 - 1.99853i) q^{7} -2.82564i q^{8} +(1.61400 - 2.52884i) q^{9} +(0.222671 + 0.128559i) q^{10} +(1.54167 + 0.890085i) q^{11} +(-1.83406 - 1.11397i) q^{12} +(-2.29041 + 2.78460i) q^{13} +(-0.438129 - 2.26620i) q^{14} +(0.447650 - 0.245348i) q^{15} +(-0.00636277 + 0.0110206i) q^{16} +(3.35504 + 5.81110i) q^{17} +(2.32250 - 1.20657i) q^{18} +(2.08240 - 1.20227i) q^{19} +(-0.182568 - 0.316217i) q^{20} +(-4.29707 - 1.59223i) q^{21} +(0.776513 + 1.34496i) q^{22} +(6.31856 + 3.64802i) q^{23} +(-2.35225 - 4.29181i) q^{24} -4.91314 q^{25} +(-2.94511 + 1.10475i) q^{26} +(0.346298 - 5.18460i) q^{27} +(-1.07029 + 3.09819i) q^{28} +(-1.98808 - 1.14782i) q^{29} +(0.445231 + 0.00989978i) q^{30} +6.64222i q^{31} +(-4.90376 + 2.83119i) q^{32} +(3.08258 + 0.0685417i) q^{33} +5.85389i q^{34} +(-0.510977 - 0.589013i) q^{35} +(-3.71306 - 0.165203i) q^{36} +(3.69917 - 6.40715i) q^{37} +2.09774 q^{38} +(-1.16078 + 6.13617i) q^{39} -0.832782i q^{40} +(3.49921 - 6.06080i) q^{41} +(-2.55200 - 3.07736i) q^{42} +(2.03031 + 3.51660i) q^{43} -2.20547i q^{44} +(0.475683 - 0.745307i) q^{45} +(3.18255 + 5.51234i) q^{46} -3.42186 q^{47} +(-0.000489970 + 0.0220358i) q^{48} +(-0.988215 + 6.92989i) q^{49} +(-3.71199 - 2.14312i) q^{50} +(9.93345 + 6.03340i) q^{51} +(4.40649 + 0.732513i) q^{52} +2.91015i q^{53} +(2.52317 - 3.76603i) q^{54} +(0.454367 + 0.262329i) q^{55} +(-5.64711 + 4.89895i) q^{56} +(2.16206 - 3.55964i) q^{57} +(-1.00136 - 1.73441i) q^{58} +(-3.25103 - 5.63094i) q^{59} +(-0.540540 - 0.328314i) q^{60} +(-12.2498 + 7.07244i) q^{61} +(-2.89735 + 5.01835i) q^{62} +(-7.85222 + 1.15876i) q^{63} -4.91443 q^{64} +(-0.675038 + 0.820687i) q^{65} +(2.29907 + 1.39641i) q^{66} +(3.16231 - 5.47728i) q^{67} +(4.15659 - 7.19943i) q^{68} +(12.6340 + 0.280919i) q^{69} +(-0.129127 - 0.667902i) q^{70} +(-8.16935 + 4.71658i) q^{71} +(-7.14558 - 4.56057i) q^{72} -7.89217i q^{73} +(5.58962 - 3.22717i) q^{74} +(-7.46247 + 4.09002i) q^{75} +(-2.57991 - 1.48951i) q^{76} +(-0.894018 - 4.62426i) q^{77} +(-3.55360 + 4.12969i) q^{78} +6.38290 q^{79} +(-0.00187526 + 0.00324804i) q^{80} +(-3.79002 - 8.16307i) q^{81} +(5.28747 - 3.05272i) q^{82} -9.51691 q^{83} +(0.953491 + 5.59677i) q^{84} +(0.988808 + 1.71267i) q^{85} +3.54250i q^{86} +(-3.97517 - 0.0883885i) q^{87} +(2.51506 - 4.35621i) q^{88} +(2.34325 - 4.05863i) q^{89} +(0.684494 - 0.355604i) q^{90} +(9.53611 - 0.250356i) q^{91} -9.03916i q^{92} +(5.52943 + 10.0887i) q^{93} +(-2.58530 - 1.49262i) q^{94} +(0.613732 - 0.354338i) q^{95} +(-5.09136 + 8.38246i) q^{96} +(-12.7098 + 7.33799i) q^{97} +(-3.76945 + 4.80464i) q^{98} +(4.73913 - 2.46204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9}+O(q^{10}) \) 64 * q + 32 * q^4 - 4 * q^7 - 10 * q^9	\( 64 q + 32 q^{4} - 4 q^{7} - 10 q^{9} - 18 q^{15} - 16 q^{16} + 8 q^{18} - 44 q^{21} - 32 q^{22} + 48 q^{25} + 40 q^{28} - 40 q^{30} - 6 q^{36} + 12 q^{37} - 12 q^{42} + 40 q^{43} - 36 q^{46} - 24 q^{49} - 28 q^{51} - 68 q^{57} - 116 q^{60} + 4 q^{63} - 48 q^{64} - 28 q^{67} - 64 q^{70} + 62 q^{72} - 2 q^{78} + 56 q^{79} + 10 q^{81} + 28 q^{85} + 80 q^{88} - 16 q^{91} + 46 q^{93} - 32 q^{99}+O(q^{100}) \) 64 * q + 32 * q^4 - 4 * q^7 - 10 * q^9 - 18 * q^15 - 16 * q^16 + 8 * q^18 - 44 * q^21 - 32 * q^22 + 48 * q^25 + 40 * q^28 - 40 * q^30 - 6 * q^36 + 12 * q^37 - 12 * q^42 + 40 * q^43 - 36 * q^46 - 24 * q^49 - 28 * q^51 - 68 * q^57 - 116 * q^60 + 4 * q^63 - 48 * q^64 - 28 * q^67 - 64 * q^70 + 62 * q^72 - 2 * q^78 + 56 * q^79 + 10 * q^81 + 28 * q^85 + 80 * q^88 - 16 * q^91 + 46 * q^93 - 32 * q^99

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