LMFDB - Embedded newform 280.2.s.c.237.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(13,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([0, 2, 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("280.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.s (of order $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			237.26
Character	$\chi$	$=$	280.237
Dual form			280.2.s.c.13.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.649134 - 1.25643i) q^{2} +(0.639680 - 0.639680i) q^{3} +(-1.15725 - 1.63119i) q^{4} +(1.45663 + 1.69653i) q^{5} +(-0.388478 - 1.21895i) q^{6} +(0.0280541 - 2.64560i) q^{7} +(-2.80069 + 0.395151i) q^{8} +2.18162i q^{9} +O(q^{10})$	\(q+(0.649134 - 1.25643i) q^{2} +(0.639680 - 0.639680i) q^{3} +(-1.15725 - 1.63119i) q^{4} +(1.45663 + 1.69653i) q^{5} +(-0.388478 - 1.21895i) q^{6} +(0.0280541 - 2.64560i) q^{7} +(-2.80069 + 0.395151i) q^{8} +2.18162i q^{9} +(3.07713 - 0.728882i) q^{10} -5.47610i q^{11} +(-1.78371 - 0.303167i) q^{12} +(3.89100 - 3.89100i) q^{13} +(-3.30581 - 1.75260i) q^{14} +(2.01702 + 0.153462i) q^{15} +(-1.32154 + 3.77539i) q^{16} +(-3.30545 + 3.30545i) q^{17} +(2.74106 + 1.41616i) q^{18} +5.24729i q^{19} +(1.08168 - 4.33935i) q^{20} +(-1.67439 - 1.71028i) q^{21} +(-6.88036 - 3.55472i) q^{22} +(-0.137856 + 0.137856i) q^{23} +(-1.53877 + 2.04431i) q^{24} +(-0.756456 + 4.94245i) q^{25} +(-2.36301 - 7.41457i) q^{26} +(3.31458 + 3.31458i) q^{27} +(-4.34794 + 3.01587i) q^{28} -2.31714 q^{29} +(1.50213 - 2.43463i) q^{30} +4.44765i q^{31} +(3.88566 + 4.11116i) q^{32} +(-3.50295 - 3.50295i) q^{33} +(2.00740 + 6.29875i) q^{34} +(4.52922 - 3.80607i) q^{35} +(3.55863 - 2.52468i) q^{36} +(4.36429 - 4.36429i) q^{37} +(6.59287 + 3.40619i) q^{38} -4.97799i q^{39} +(-4.74996 - 4.17587i) q^{40} +4.27482i q^{41} +(-3.23576 + 0.993561i) q^{42} +(1.77846 + 1.77846i) q^{43} +(-8.93254 + 6.33722i) q^{44} +(-3.70119 + 3.17781i) q^{45} +(0.0837199 + 0.262694i) q^{46} +(-0.164034 + 0.164034i) q^{47} +(1.56968 + 3.26040i) q^{48} +(-6.99843 - 0.148440i) q^{49} +(5.71881 + 4.15874i) q^{50} +4.22885i q^{51} +(-10.8498 - 1.84409i) q^{52} +(2.76647 + 2.76647i) q^{53} +(6.31615 - 2.01294i) q^{54} +(9.29039 - 7.97665i) q^{55} +(0.966842 + 7.42059i) q^{56} +(3.35658 + 3.35658i) q^{57} +(-1.50414 + 2.91134i) q^{58} -2.55047i q^{59} +(-2.08387 - 3.46772i) q^{60} -0.863786 q^{61} +(5.58818 + 2.88712i) q^{62} +(5.77170 + 0.0612033i) q^{63} +(7.68771 - 2.21339i) q^{64} +(12.2690 + 0.933466i) q^{65} +(-6.67511 + 2.12734i) q^{66} +(-4.38370 + 4.38370i) q^{67} +(9.21703 + 1.56657i) q^{68} +0.176367i q^{69} +(-1.84201 - 8.16131i) q^{70} -3.84082 q^{71} +(-0.862069 - 6.11004i) q^{72} +(8.74208 + 8.74208i) q^{73} +(-2.65043 - 8.31645i) q^{74} +(2.67769 + 3.64547i) q^{75} +(8.55931 - 6.07243i) q^{76} +(-14.4876 - 0.153627i) q^{77} +(-6.25452 - 3.23138i) q^{78} -14.5921i q^{79} +(-8.33006 + 3.25730i) q^{80} -2.30432 q^{81} +(5.37102 + 2.77493i) q^{82} +(-0.395859 + 0.395859i) q^{83} +(-0.852100 + 4.71048i) q^{84} +(-10.4226 - 0.792989i) q^{85} +(3.38897 - 1.08006i) q^{86} +(-1.48223 + 1.48223i) q^{87} +(2.16389 + 15.3368i) q^{88} -16.2016 q^{89} +(1.59014 + 6.71313i) q^{90} +(-10.1849 - 10.4032i) q^{91} +(0.384402 + 0.0653348i) q^{92} +(2.84507 + 2.84507i) q^{93} +(0.0996177 + 0.312577i) q^{94} +(-8.90221 + 7.64336i) q^{95} +(5.11540 + 0.144242i) q^{96} +(11.0005 - 11.0005i) q^{97} +(-4.72942 + 8.69670i) q^{98} +11.9468 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8}+O(q^{10}) $ 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8	$ 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8} - 8 q^{15} + 40 q^{16} - 40 q^{18} + 4 q^{22} + 40 q^{23} - 8 q^{25} - 4 q^{28} - 44 q^{30} - 24 q^{32} - 72 q^{36} + 40 q^{42} + 16 q^{46} - 60 q^{50} + 32 q^{56} + 32 q^{57} - 68 q^{58} + 64 q^{60} - 100 q^{63} - 56 q^{65} + 16 q^{70} - 80 q^{71} + 16 q^{72} - 4 q^{78} + 72 q^{81} - 72 q^{86} + 48 q^{88} + 72 q^{92} + 80 q^{95} + 40 q^{98}+O(q^{100}) $ 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8 - 8 * q^15 + 40 * q^16 - 40 * q^18 + 4 * q^22 + 40 * q^23 - 8 * q^25 - 4 * q^28 - 44 * q^30 - 24 * q^32 - 72 * q^36 + 40 * q^42 + 16 * q^46 - 60 * q^50 + 32 * q^56 + 32 * q^57 - 68 * q^58 + 64 * q^60 - 100 * q^63 - 56 * q^65 + 16 * q^70 - 80 * q^71 + 16 * q^72 - 4 * q^78 + 72 * q^81 - 72 * q^86 + 48 * q^88 + 72 * q^92 + 80 * q^95 + 40 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$-1$

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 $

$2$	0.649134	−	1.25643i	0.459007	−	0.888433i
$2$	0.649134	−	1.25643i	0.459007	−	0.888433i
$3$	0.639680	−	0.639680i	0.369319	−	0.369319i	−0.497910	−	0.867229i	$-0.665899\pi$
$3$	0.639680	−	0.639680i	0.369319	−	0.369319i	0.867229	+	0.497910i	$0.165899\pi$
$4$	−1.15725	−	1.63119i	−0.578626	−	0.815593i
$5$	1.45663	+	1.69653i	0.651425	+	0.758713i
$5$	1.45663	+	1.69653i	0.651425	+	0.758713i
$6$	−0.388478	−	1.21895i	−0.158595	−	0.497635i
$7$	0.0280541	−	2.64560i	0.0106034	−	0.999944i
$7$	0.0280541	−	2.64560i	0.0106034	−	0.999944i
$8$	−2.80069	+	0.395151i	−0.990193	+	0.139707i
$9$			2.18162i			0.727207i
$10$	3.07713	−	0.728882i	0.973074	−	0.230493i
$11$		−	5.47610i		−	1.65111i	−0.564324	−	0.825553i	$-0.690863\pi$
$11$		−	5.47610i		−	1.65111i	0.564324	−	0.825553i	$-0.309137\pi$
$12$	−1.78371	−	0.303167i	−0.514912	−	0.0875168i
$13$	3.89100	−	3.89100i	1.07917	−	1.07917i	0.0825863	−	0.996584i	$-0.473682\pi$
$13$	3.89100	−	3.89100i	1.07917	−	1.07917i	0.996584	−	0.0825863i	$-0.0263180\pi$
$14$	−3.30581	−	1.75260i	−0.883516	−	0.468401i
$15$	2.01702	+	0.153462i	0.520791	+	0.0396236i
$16$	−1.32154	+	3.77539i	−0.330385	+	0.943846i
$17$	−3.30545	+	3.30545i	−0.801688	+	0.801688i	−0.983359	−	0.181671i	$-0.941849\pi$
$17$	−3.30545	+	3.30545i	−0.801688	+	0.801688i	0.181671	+	0.983359i	$0.441849\pi$
$18$	2.74106	+	1.41616i	0.646074	+	0.333793i
$19$			5.24729i			1.20381i	0.798567	+	0.601905i	$0.205592\pi$
$19$			5.24729i			1.20381i	−0.798567	+	0.601905i	$0.794408\pi$
$20$	1.08168	−	4.33935i	0.241870	−	0.970309i
$21$	−1.67439	−	1.71028i	−0.365382	−	0.373215i
$22$	−6.88036	−	3.55472i	−1.46690	−	0.757869i
$23$	−0.137856	+	0.137856i	−0.0287449	+	0.0287449i	−0.721333	−	0.692588i	$-0.756470\pi$
$23$	−0.137856	+	0.137856i	−0.0287449	+	0.0287449i	0.692588	+	0.721333i	$0.256470\pi$
$24$	−1.53877	+	2.04431i	−0.314101	+	0.417294i
$25$	−0.756456	+	4.94245i	−0.151291	+	0.988489i
$26$	−2.36301	−	7.41457i	−0.463424	−	1.45412i
$27$	3.31458	+	3.31458i	0.637891	+	0.637891i
$28$	−4.34794	+	3.01587i	−0.821683	+	0.569945i
$29$	−2.31714			−0.430283			−0.215141	−	0.976583i	$-0.569021\pi$
$29$	−2.31714			−0.430283			−0.215141	+	0.976583i	$0.569021\pi$
$30$	1.50213	−	2.43463i	0.274250	−	0.444500i
$31$			4.44765i			0.798821i	0.916772	+	0.399411i	$0.130785\pi$
$31$			4.44765i			0.798821i	−0.916772	+	0.399411i	$0.869215\pi$
$32$	3.88566	+	4.11116i	0.686895	+	0.726757i
$33$	−3.50295	−	3.50295i	−0.609785	−	0.609785i
$34$	2.00740	+	6.29875i	0.344266	+	1.08023i
$35$	4.52922	−	3.80607i	0.765578	−	0.643343i
$36$	3.55863	−	2.52468i	0.593105	−	0.420780i
$37$	4.36429	−	4.36429i	0.717485	−	0.717485i	−0.250604	−	0.968090i	$-0.580629\pi$
$37$	4.36429	−	4.36429i	0.717485	−	0.717485i	0.968090	+	0.250604i	$0.0806294\pi$
$38$	6.59287	+	3.40619i	1.06950	+	0.552557i
$39$		−	4.97799i		−	0.797117i
$40$	−4.74996	−	4.17587i	−0.751034	−	0.660264i
$41$			4.27482i			0.667614i	0.942641	+	0.333807i	$0.108333\pi$
$41$			4.27482i			0.667614i	−0.942641	+	0.333807i	$0.891667\pi$
$42$	−3.23576	+	0.993561i	−0.499289	+	0.153310i
$43$	1.77846	+	1.77846i	0.271212	+	0.271212i	0.829588	−	0.558376i	$-0.188575\pi$
$43$	1.77846	+	1.77846i	0.271212	+	0.271212i	−0.558376	+	0.829588i	$0.688575\pi$
$44$	−8.93254	+	6.33722i	−1.34663	+	0.955372i
$45$	−3.70119	+	3.17781i	−0.551741	+	0.473720i
$46$	0.0837199	+	0.262694i	0.0123438	+	0.0387321i
$47$	−0.164034	+	0.164034i	−0.0239268	+	0.0239268i	−0.718969	−	0.695042i	$-0.755386\pi$
$47$	−0.164034	+	0.164034i	−0.0239268	+	0.0239268i	0.695042	+	0.718969i	$0.255386\pi$
$48$	1.56968	+	3.26040i	0.226563	+	0.470598i
$49$	−6.99843	−	0.148440i	−0.999775	−	0.0212057i
$50$	5.71881	+	4.15874i	0.808763	+	0.588135i
$51$			4.22885i			0.592158i
$52$	−10.8498	−	1.84409i	−1.50460	−	0.255729i
$53$	2.76647	+	2.76647i	0.380004	+	0.380004i	0.871103	−	0.491100i	$-0.163405\pi$
$53$	2.76647	+	2.76647i	0.380004	+	0.380004i	−0.491100	+	0.871103i	$0.663405\pi$
$54$	6.31615	−	2.01294i	0.859519	−	0.273927i
$55$	9.29039	−	7.97665i	1.25272	−	1.07557i
$56$	0.966842	+	7.42059i	0.129200	+	0.991619i
$57$	3.35658	+	3.35658i	0.444591	+	0.444591i
$58$	−1.50414	+	2.91134i	−0.197503	+	0.382277i
$59$		−	2.55047i		−	0.332043i	−0.986122	−	0.166022i	$-0.946908\pi$
$59$		−	2.55047i		−	0.332043i	0.986122	−	0.166022i	$-0.0530922\pi$
$60$	−2.08387	−	3.46772i	−0.269026	−	0.447681i
$61$	−0.863786			−0.110597			−0.0552983	−	0.998470i	$-0.517611\pi$
$61$	−0.863786			−0.110597			−0.0552983	+	0.998470i	$0.517611\pi$
$62$	5.58818	+	2.88712i	0.709699	+	0.366664i
$63$	5.77170	+	0.0612033i	0.727166	+	0.00771089i
$64$	7.68771	−	2.21339i	0.960964	−	0.276674i
$65$	12.2690	+	0.933466i	1.52178	+	0.115782i
$66$	−6.67511	+	2.12734i	−0.821649	+	0.261858i
$67$	−4.38370	+	4.38370i	−0.535554	+	0.535554i	−0.922220	−	0.386666i	$-0.873627\pi$
$67$	−4.38370	+	4.38370i	−0.535554	+	0.535554i	0.386666	+	0.922220i	$0.373627\pi$
$68$	9.21703	+	1.56657i	1.11773	+	0.189974i
$69$			0.176367i			0.0212321i
$70$	−1.84201	−	8.16131i	−0.220162	−	0.975463i
$71$	−3.84082			−0.455821			−0.227911	−	0.973682i	$-0.573189\pi$
$71$	−3.84082			−0.455821			−0.227911	+	0.973682i	$0.573189\pi$
$72$	−0.862069	−	6.11004i	−0.101596	−	0.720075i
$73$	8.74208	+	8.74208i	1.02318	+	1.02318i	0.999725	+	0.0234585i	$0.00746777\pi$
$73$	8.74208	+	8.74208i	1.02318	+	1.02318i	0.0234585	+	0.999725i	$0.492532\pi$
$74$	−2.65043	−	8.31645i	−0.308107	−	0.966768i
$75$	2.67769	+	3.64547i	0.309193	+	0.420943i
$76$	8.55931	−	6.07243i	0.981820	−	0.696556i
$77$	−14.4876	−	0.153627i	−1.65101	−	0.0175074i
$78$	−6.25452	−	3.23138i	−0.708185	−	0.365882i
$79$		−	14.5921i		−	1.64173i	−0.571119	−	0.820867i	$-0.693490\pi$
$79$		−	14.5921i		−	1.64173i	0.571119	−	0.820867i	$-0.306510\pi$
$80$	−8.33006	+	3.25730i	−0.931330	+	0.364178i
$81$	−2.30432			−0.256036
$82$	5.37102	+	2.77493i	0.593130	+	0.306439i
$83$	−0.395859	+	0.395859i	−0.0434511	+	0.0434511i	−0.728499	−	0.685047i	$-0.759781\pi$
$83$	−0.395859	+	0.395859i	−0.0434511	+	0.0434511i	0.685047	+	0.728499i	$0.259781\pi$
$84$	−0.852100	+	4.71048i	−0.0929717	+	0.513955i
$85$	−10.4226	−	0.792989i	−1.13049	−	0.0860117i
$86$	3.38897	−	1.08006i	0.365442	−	0.116466i
$87$	−1.48223	+	1.48223i	−0.158912	+	0.158912i
$88$	2.16389	+	15.3368i	0.230671	+	1.63491i
$89$	−16.2016			−1.71737			−0.858685	−	0.512504i	$-0.828718\pi$
$89$	−16.2016			−1.71737			−0.858685	+	0.512504i	$0.828718\pi$
$90$	1.59014	+	6.71313i	0.167616	+	0.707626i
$91$	−10.1849	−	10.4032i	−1.06767	−	1.09055i
$92$	0.384402	+	0.0653348i	0.0400767	+	0.00681162i
$93$	2.84507	+	2.84507i	0.295020	+	0.295020i
$94$	0.0996177	+	0.312577i	0.0102748	+	0.0322399i
$95$	−8.90221	+	7.64336i	−0.913347	+	0.784192i
$96$	5.11540	+	0.144242i	0.522089	+	0.0147217i
$97$	11.0005	−	11.0005i	1.11693	−	1.11693i	0.124744	−	0.992189i	$-0.460189\pi$
$97$	11.0005	−	11.0005i	1.11693	−	1.11693i	0.992189	−	0.124744i	$-0.0398111\pi$
$98$	−4.72942	+	8.69670i	−0.477743	+	0.878499i
$99$	11.9468			1.20070
$100$	8.93746	−	4.48573i	0.893746	−	0.448573i
$101$	1.58490			0.157703			0.0788517	−	0.996886i	$-0.474875\pi$
$101$	1.58490			0.157703			0.0788517	+	0.996886i	$0.474875\pi$
$102$	5.31327	+	2.74509i	0.526092	+	0.271804i
$103$	3.50473	+	3.50473i	0.345332	+	0.345332i	0.858367	−	0.513036i	$-0.171479\pi$
$103$	3.50473	+	3.50473i	0.345332	+	0.345332i	−0.513036	+	0.858367i	$0.671479\pi$
$104$	−9.35995	+	12.4350i	−0.917819	+	1.21935i
$105$	0.462584	−	5.33192i	0.0451436	−	0.520342i
$106$	5.27169	−	1.68008i	0.512032	−	0.163183i
$107$	−5.59213	+	5.59213i	−0.540612	+	0.540612i	−0.923708	−	0.383096i	$-0.874858\pi$
$107$	−5.59213	+	5.59213i	−0.540612	+	0.540612i	0.383096	+	0.923708i	$0.374858\pi$
$108$	1.57090	−	9.24249i	0.151160	−	0.889359i
$109$	−5.47192			−0.524114			−0.262057	−	0.965052i	$-0.584401\pi$
$109$	−5.47192			−0.524114			−0.262057	+	0.965052i	$0.584401\pi$
$110$	−3.99143	−	16.8507i	−0.380568	−	1.60665i
$111$		−	5.58350i		−	0.529962i
$112$	9.95109	+	3.60218i	0.940290	+	0.340374i
$113$	−4.54980	+	4.54980i	−0.428009	+	0.428009i	−0.887950	−	0.459941i	$-0.847871\pi$
$113$	−4.54980	+	4.54980i	−0.428009	+	0.428009i	0.459941	+	0.887950i	$0.347871\pi$
$114$	6.39620	−	2.03845i	0.599059	−	0.190919i
$115$	−0.434682	−	0.0330721i	−0.0405343	−	0.00308399i
$116$	2.68152	+	3.77969i	0.248973	+	0.350936i
$117$	8.48869	+	8.48869i	0.784780	+	0.784780i
$118$	−3.20450	−	1.65560i	−0.294998	−	0.152410i
$119$	8.65216	+	8.83763i	0.793143	+	0.810144i
$120$	−5.70967	+	0.367228i	−0.521219	+	0.0335232i
$121$	−18.9877			−1.72615
$122$	−0.560713	+	1.08529i	−0.0507645	+	0.0982576i
$123$	2.73451	+	2.73451i	0.246563	+	0.246563i
$124$	7.25495	−	5.14705i	0.651513	−	0.462218i
$125$	−9.48691	+	5.91596i	−0.848535	+	0.529140i
$126$	3.82350	−	7.21203i	0.340625	−	0.642498i
$127$	−4.42528	−	4.42528i	−0.392680	−	0.392680i	0.482961	−	0.875642i	$-0.339561\pi$
$127$	−4.42528	−	4.42528i	−0.392680	−	0.392680i	−0.875642	+	0.482961i	$0.839561\pi$
$128$	2.20937	−	11.0959i	0.195283	−	0.980747i
$129$	2.27529			0.200328
$130$	9.13704	−	14.8092i	0.801372	−	1.29885i
$131$	−3.63514			−0.317604			−0.158802	−	0.987310i	$-0.550763\pi$
$131$	−3.63514			−0.317604			−0.158802	+	0.987310i	$0.550763\pi$
$132$	−1.66017	+	9.76776i	−0.144499	+	0.850174i
$133$	13.8822	+	0.147208i	1.20374	+	0.0127645i
$134$	2.66222	+	8.35343i	0.229981	+	0.721626i
$135$	−0.795179	+	10.4514i	−0.0684381	+	0.899514i
$136$	7.95137	−	10.5637i	0.681825	−	0.905827i
$137$	−1.00315	−	1.00315i	−0.0857053	−	0.0857053i	0.662954	−	0.748660i	$-0.269302\pi$
$137$	−1.00315	−	1.00315i	−0.0857053	−	0.0857053i	−0.748660	+	0.662954i	$0.769302\pi$
$138$	0.221594	+	0.114486i	0.0188633	+	0.00974568i
$139$		−	19.8328i		−	1.68220i	−0.540881	−	0.841099i	$-0.681909\pi$
$139$		−	19.8328i		−	1.68220i	0.540881	−	0.841099i	$-0.318091\pi$
$140$	−11.4499	−	2.98342i	−0.967689	−	0.252145i
$141$			0.209858i			0.0176732i
$142$	−2.49320	+	4.82573i	−0.209225	+	0.404967i
$143$	−21.3075	−	21.3075i	−1.78182	−	1.78182i
$144$	−8.23645	−	2.88310i	−0.686371	−	0.240258i
$145$	−3.37522	−	3.93111i	−0.280297	−	0.326461i
$146$	16.6586	−	5.30907i	1.37868	−	0.439382i
$147$	−4.57171	+	4.38180i	−0.377068	+	0.361405i
$148$	−12.1696	−	2.06839i	−1.00033	−	0.170021i
$149$	−0.939523			−0.0769688			−0.0384844	−	0.999259i	$-0.512253\pi$
$149$	−0.939523			−0.0769688			−0.0384844	+	0.999259i	$0.512253\pi$
$150$	6.31847	−	0.997945i	0.515901	−	0.0814819i
$151$	12.6332			1.02808			0.514038	−	0.857767i	$-0.328149\pi$
$151$	12.6332			1.02808			0.514038	+	0.857767i	$0.328149\pi$
$152$	−2.07347	−	14.6960i	−0.168181	−	1.19200i
$153$	−7.21122	−	7.21122i	−0.582993	−	0.582993i
$154$	−9.59740	+	18.1030i	−0.773381	+	1.45878i
$155$	−7.54559	+	6.47858i	−0.606076	+	0.520372i
$156$	−8.12003	+	5.76079i	−0.650123	+	0.461232i
$157$	−7.10790	−	7.10790i	−0.567272	−	0.567272i	0.364091	−	0.931363i	$-0.381380\pi$
$157$	−7.10790	−	7.10790i	−0.567272	−	0.567272i	−0.931363	+	0.364091i	$0.881380\pi$
$158$	−18.3340	−	9.47220i	−1.45857	−	0.753567i
$159$	3.53931			0.280685
$160$	−1.31474	+	12.5806i	−0.103939	+	0.994584i
$161$	0.360844	+	0.368579i	0.0284385	+	0.0290481i
$162$	−1.49581	+	2.89523i	−0.117522	+	0.227471i
$163$	−13.2416	−	13.2416i	−1.03716	−	1.03716i	−0.999282	−	0.0378761i	$-0.987941\pi$
$163$	−13.2416	−	13.2416i	−1.03716	−	1.03716i	−0.0378761	−	0.999282i	$-0.512059\pi$
$164$	6.97302	−	4.94704i	0.544502	−	0.386299i
$165$	0.840371	−	11.0454i	0.0654228	−	0.859882i
$166$	0.240405	+	0.754335i	0.0186590	+	0.0585478i
$167$	−6.04447	+	6.04447i	−0.467735	+	0.467735i	−0.901180	−	0.433445i	$-0.857298\pi$
$167$	−6.04447	+	6.04447i	−0.467735	+	0.467735i	0.433445	+	0.901180i	$0.357298\pi$
$168$	5.36527	+	4.12833i	0.413940	+	0.318508i
$169$		−	17.2798i		−	1.32922i
$170$	−7.76201	+	12.5806i	−0.595319	+	0.964885i
$171$	−11.4476			−0.875419
$172$	0.842874	−	4.95912i	0.0642686	−	0.378129i
$173$	0.0558513	−	0.0558513i	0.00424629	−	0.00424629i	−0.704980	−	0.709227i	$-0.749044\pi$
$173$	0.0558513	−	0.0558513i	0.00424629	−	0.00424629i	0.709227	+	0.704980i	$0.249044\pi$
$174$	0.900158	+	2.82449i	0.0682408	+	0.214124i
$175$	13.0545	+	2.13994i	0.986829	+	0.161764i
$176$	20.6744	+	7.23688i	1.55839	+	0.545501i
$177$	−1.63149	−	1.63149i	−0.122630	−	0.122630i
$178$	−10.5170	+	20.3563i	−0.788284	+	1.52577i
$179$	−3.17937			−0.237638			−0.118819	−	0.992916i	$-0.537911\pi$
$179$	−3.17937			−0.237638			−0.118819	+	0.992916i	$0.537911\pi$
$180$	9.46682	+	2.35981i	0.705615	+	0.175890i
$181$	11.3181			0.841264			0.420632	−	0.907231i	$-0.361808\pi$
$181$	11.3181			0.841264			0.420632	+	0.907231i	$0.361808\pi$
$182$	−19.6823	+	6.04357i	−1.45895	+	0.447979i
$183$	−0.552547	+	0.552547i	−0.0408454	+	0.0408454i
$184$	0.331617	−	0.440565i	0.0244472	−	0.0324789i
$185$	13.7613	+	1.04701i	1.01175	+	0.0769777i
$186$	5.42147	−	1.72781i	0.397522	−	0.126689i
$187$	18.1009	+	18.1009i	1.32367	+	1.32367i
$188$	0.457398	+	0.0777415i	0.0333592	+	0.00566988i
$189$	8.86204	−	8.67607i	0.644619	−	0.631091i
$190$	3.82466	+	16.1466i	0.277470	+	1.17140i
$191$	−12.7260			−0.920820			−0.460410	−	0.887706i	$-0.652298\pi$
$191$	−12.7260			−0.920820			−0.460410	+	0.887706i	$0.652298\pi$
$192$	3.50181	−	6.33353i	0.252722	−	0.457083i
$193$	9.19959	−	9.19959i	0.662201	−	0.662201i	−0.293697	−	0.955898i	$-0.594886\pi$
$193$	9.19959	−	9.19959i	0.662201	−	0.662201i	0.955898	+	0.293697i	$0.0948858\pi$
$194$	−6.68062	−	20.9622i	−0.479640	−	1.50500i
$195$	8.44533	−	7.25109i	0.604783	−	0.519262i
$196$	7.85680	+	11.5875i	0.561200	+	0.827680i
$197$	18.7057	−	18.7057i	1.33273	−	1.33273i	0.429807	−	0.902921i	$-0.358582\pi$
$197$	18.7057	−	18.7057i	1.33273	−	1.33273i	0.902921	−	0.429807i	$-0.141418\pi$
$198$	7.75505	−	15.0103i	0.551127	−	1.06674i
$199$	−22.8984			−1.62323			−0.811613	−	0.584195i	$-0.801410\pi$
$199$	−22.8984			−1.62323			−0.811613	+	0.584195i	$0.801410\pi$
$200$	0.165584	−	14.1412i	0.0117086	−	0.999931i
$201$			5.60832i			0.395581i
$202$	1.02881	−	1.99132i	0.0723869	−	0.140109i
$203$	−0.0650053	+	6.13024i	−0.00456248	+	0.430258i
$204$	6.89805	−	4.89384i	0.482960	−	0.342638i
$205$	−7.25237	+	6.22683i	−0.506528	+	0.434901i
$206$	6.67850	−	2.12842i	0.465313	−	0.148294i
$207$	−0.300749	−	0.300749i	−0.0209035	−	0.0209035i
$208$	9.54792	+	19.8322i	0.662029	+	1.37511i
$209$	28.7347			1.98762
$210$	−6.39892	−	4.04233i	−0.441567	−	0.278947i
$211$		−	2.21392i		−	0.152413i	−0.997092	−	0.0762063i	$-0.975719\pi$
$211$		−	2.21392i		−	0.152413i	0.997092	−	0.0762063i	$-0.0242808\pi$
$212$	1.31113	−	7.71412i	0.0900486	−	0.529808i
$213$	−2.45689	+	2.45689i	−0.168344	+	0.168344i
$214$	3.39610	+	10.6562i	0.232153	+	0.728442i
$215$	−0.426659	+	5.60777i	−0.0290979	+	0.382447i
$216$	−10.5929	−	7.97334i	−0.720753	−	0.542517i
$217$	11.7667	+	0.124775i	0.798776	+	0.00847026i
$218$	−3.55200	+	6.87510i	−0.240572	+	0.465640i
$219$	11.1843			0.755763
$220$	−23.7627	−	5.92337i	−1.60208	−	0.399354i
$221$			25.7230i			1.73032i
$222$	−7.01529	−	3.62444i	−0.470836	−	0.243256i
$223$	3.10616	+	3.10616i	0.208004	+	0.208004i	0.803418	−	0.595415i	$-0.203012\pi$
$223$	3.10616	+	3.10616i	0.208004	+	0.208004i	−0.595415	+	0.803418i	$0.703012\pi$
$224$	10.9855	−	10.1646i	0.733999	−	0.679150i
$225$	−10.7825	−	1.65030i	−0.718836	−	0.110020i
$226$	2.76309	+	8.66995i	0.183798	+	0.576716i
$227$	6.03144	+	6.03144i	0.400321	+	0.400321i	0.878346	−	0.478025i	$-0.158647\pi$
$227$	6.03144	+	6.03144i	0.400321	+	0.400321i	−0.478025	+	0.878346i	$0.658647\pi$
$228$	1.59080	−	9.35963i	0.105354	−	0.619857i
$229$			9.60286i			0.634575i	0.948329	+	0.317287i	$0.102772\pi$
$229$			9.60286i			0.634575i	−0.948329	+	0.317287i	$0.897228\pi$
$230$	−0.323720	+	0.524681i	−0.0213454	+	0.0345964i
$231$	−9.36569	+	9.16914i	−0.616217	+	0.603285i
$232$	6.48960	−	0.915622i	0.426063	−	0.0601135i
$233$	9.28365	−	9.28365i	0.608192	−	0.608192i	−0.334281	−	0.942473i	$-0.608494\pi$
$233$	9.28365	−	9.28365i	0.608192	−	0.608192i	0.942473	+	0.334281i	$0.108494\pi$
$234$	16.1758	−	5.15518i	1.05744	−	0.337005i
$235$	−0.517226	−	0.0393523i	−0.0337401	−	0.00256706i
$236$	−4.16030	+	2.95154i	−0.270812	+	0.192129i
$237$	−9.33424	−	9.33424i	−0.606324	−	0.606324i
$238$	16.7203	−	5.13407i	1.08382	−	0.332792i
$239$			20.6515i			1.33584i	0.744235	+	0.667918i	$0.232814\pi$
$239$			20.6515i			1.33584i	−0.744235	+	0.667918i	$0.767186\pi$
$240$	−3.24494	+	7.41220i	−0.209460	+	0.478456i
$241$			7.39732i			0.476503i	0.971203	+	0.238252i	$0.0765743\pi$
$241$			7.39732i			0.476503i	−0.971203	+	0.238252i	$0.923426\pi$
$242$	−12.3255	+	23.8567i	−0.792315	+	1.53357i
$243$	−11.4178	+	11.4178i	−0.732450	+	0.732450i
$244$	0.999618	+	1.40900i	0.0639940	+	0.0902018i
$245$	−9.94229	−	12.0893i	−0.635189	−	0.772356i
$246$	5.21080	−	1.66067i	0.332228	−	0.105880i
$247$	20.4172	+	20.4172i	1.29912	+	1.29912i
$248$	−1.75749	−	12.4565i	−0.111601	−	0.790987i
$249$			0.506445i			0.0320947i
$250$	1.27475	+	15.7599i	0.0806221	+	0.996745i
$251$	−7.90586			−0.499014			−0.249507	−	0.968373i	$-0.580268\pi$
$251$	−7.90586			−0.499014			−0.249507	+	0.968373i	$0.580268\pi$
$252$	−6.57947	−	9.48555i	−0.414468	−	0.597533i
$253$	0.754912	+	0.754912i	0.0474609	+	0.0474609i
$254$	−8.43267	+	2.68747i	−0.529113	+	0.168627i
$255$	−7.17439	+	6.15988i	−0.449278	+	0.385746i
$256$	−12.5071	−	9.97864i	−0.781692	−	0.623665i
$257$	−10.5935	+	10.5935i	−0.660802	+	0.660802i	−0.955569	−	0.294767i	$-0.904758\pi$
$257$	−10.5935	+	10.5935i	−0.660802	+	0.660802i	0.294767	+	0.955569i	$0.404758\pi$
$258$	1.47696	−	2.85875i	0.0919518	−	0.177978i
$259$	−11.4237	−	11.6686i	−0.709837	−	0.725053i
$260$	−12.6756	−	21.0932i	−0.786109	−	1.30815i
$261$		−	5.05512i		−	0.312904i
$262$	−2.35969	+	4.56732i	−0.145782	+	0.282170i
$263$	11.3061	−	11.3061i	0.697161	−	0.697161i	−0.266636	−	0.963797i	$-0.585912\pi$
$263$	11.3061	−	11.3061i	0.697161	−	0.697161i	0.963797	+	0.266636i	$0.0859121\pi$
$264$	11.1949	+	8.42648i	0.688996	+	0.518614i
$265$	−0.663686	+	8.72313i	−0.0407699	+	0.535857i
$266$	9.19639	−	17.3466i	0.563867	−	1.06359i
$267$	−10.3639	+	10.3639i	−0.634258	+	0.634258i
$268$	12.2237	+	2.07759i	0.746679	+	0.126909i
$269$			23.9923i			1.46284i	0.681928	+	0.731419i	$0.261142\pi$
$269$			23.9923i			1.46284i	−0.681928	+	0.731419i	$0.738858\pi$
$270$	12.6153	+	7.78345i	0.767744	+	0.473686i
$271$			24.7274i			1.50208i	0.660254	+	0.751042i	$0.270449\pi$
$271$			24.7274i			1.50208i	−0.660254	+	0.751042i	$0.729551\pi$
$272$	−8.11105	−	16.8476i	−0.491805	−	1.02154i
$273$	−13.1698	−	0.139653i	−0.797072	−	0.00845218i
$274$	−1.91158	+	0.609216i	−0.115483	+	0.0368041i
$275$	27.0653	+	4.14243i	1.63210	+	0.249798i
$276$	0.287688	−	0.204101i	0.0173168	−	0.0122854i
$277$	11.1622	−	11.1622i	0.670674	−	0.670674i	−0.287197	−	0.957871i	$-0.592724\pi$
$277$	11.1622	−	11.1622i	0.670674	−	0.670674i	0.957871	+	0.287197i	$0.0927235\pi$
$278$	−24.9186	−	12.8742i	−1.49452	−	0.772141i
$279$	−9.70308			−0.580908
$280$	−11.1810	+	12.4493i	−0.668190	+	0.743991i
$281$	16.6748			0.994736			0.497368	−	0.867540i	$-0.334300\pi$
$281$	16.6748			0.994736			0.497368	+	0.867540i	$0.334300\pi$
$282$	0.263673	+	0.136226i	0.0157015	+	0.00811214i
$283$	10.2960	−	10.2960i	0.612036	−	0.612036i	−0.331440	−	0.943476i	$-0.607535\pi$
$283$	10.2960	−	10.2960i	0.612036	−	0.612036i	0.943476	+	0.331440i	$0.107535\pi$
$284$	4.44479	+	6.26509i	0.263750	+	0.371765i
$285$	−0.805257	+	10.5839i	−0.0476993	+	0.626934i
$286$	−40.6029	+	12.9401i	−2.40090	+	0.765162i
$287$	11.3095	+	0.119926i	0.667577	+	0.00707901i
$288$	−8.96898	+	8.47704i	−0.528502	+	0.499515i
$289$		−	4.85194i		−	0.285408i
$290$	−7.13015	+	1.68892i	−0.418697	+	0.0991770i
$291$		−	14.0736i		−	0.825010i
$292$	4.14318	−	24.3768i	0.242461	−	1.42654i
$293$	2.08720	−	2.08720i	0.121936	−	0.121936i	−0.643506	−	0.765441i	$-0.722521\pi$
$293$	2.08720	−	2.08720i	0.121936	−	0.121936i	0.765441	+	0.643506i	$0.222521\pi$
$294$	2.53779	+	8.58842i	0.148007	+	0.500887i
$295$	4.32697	−	3.71510i	0.251926	−	0.216301i
$296$	−10.4985	+	13.9476i	−0.610211	+	0.810686i
$297$	18.1510	−	18.1510i	1.05323	−	1.05323i
$298$	−0.609876	+	1.18045i	−0.0353292	+	0.0683816i
$299$			1.07280i			0.0620413i
$300$	2.84768	−	8.58654i	0.164411	−	0.495744i
$301$	4.75498	−	4.65520i	0.274073	−	0.268321i
$302$	8.20064	−	15.8728i	0.471894	−	0.913376i
$303$	1.01383	−	1.01383i	0.0582429	−	0.0582429i
$304$	−19.8105	−	6.93450i	−1.13621	−	0.397721i
$305$	−1.25822	−	1.46544i	−0.0720453	−	0.0839110i
$306$	−13.7415	+	4.37938i	−0.785548	+	0.250352i
$307$	−5.72510	−	5.72510i	−0.326749	−	0.326749i	0.524600	−	0.851349i	$-0.324215\pi$
$307$	−5.72510	−	5.72510i	−0.326749	−	0.326749i	−0.851349	+	0.524600i	$0.824215\pi$
$308$	16.5152	+	23.8097i	0.941040	+	1.35669i
$309$	4.48381			0.255075
$310$	3.24181	+	13.6860i	0.184123	+	0.777312i
$311$		−	26.6533i		−	1.51137i	−0.654935	−	0.755685i	$-0.727304\pi$
$311$		−	26.6533i		−	1.51137i	0.654935	−	0.755685i	$-0.272696\pi$
$312$	1.96706	+	13.9418i	0.111363	+	0.789299i
$313$	−8.26889	−	8.26889i	−0.467385	−	0.467385i	0.433681	−	0.901066i	$-0.357214\pi$
$313$	−8.26889	−	8.26889i	−0.467385	−	0.467385i	−0.901066	+	0.433681i	$0.857214\pi$
$314$	−13.5446	+	4.31663i	−0.764365	+	0.243601i
$315$	8.30340	+	9.88103i	0.467843	+	0.556733i
$316$	−23.8024	+	16.8867i	−1.33899	+	0.949950i
$317$	1.30060	−	1.30060i	0.0730492	−	0.0730492i	−0.669638	−	0.742687i	$-0.733551\pi$
$317$	1.30060	−	1.30060i	0.0730492	−	0.0730492i	0.742687	+	0.669638i	$0.233551\pi$
$318$	2.29748	−	4.44690i	0.128836	−	0.249370i
$319$			12.6889i			0.710442i
$320$	14.9532	+	9.81837i	0.835912	+	0.548864i
$321$			7.15435i			0.399317i
$322$	0.697331	−	0.214120i	0.0388608	−	0.0119324i
$323$	−17.3446	−	17.3446i	−0.965081	−	0.965081i
$324$	2.66668	+	3.75878i	0.148149	+	0.208821i
$325$	16.2877	+	22.1744i	0.903479	+	1.23002i
$326$	−25.2327	+	8.04160i	−1.39751	+	0.445383i
$327$	−3.50027	+	3.50027i	−0.193566	+	0.193566i
$328$	−1.68920	−	11.9724i	−0.0932704	−	0.661067i
$329$	0.429366	+	0.438570i	0.0236717	+	0.0241792i
$330$	−13.3323	−	8.22580i	−0.733917	−	0.452815i
$331$		−	0.314870i		−	0.0173068i	−0.999963	−	0.00865340i	$-0.997246\pi$
$331$		−	0.314870i		−	0.0173068i	0.999963	−	0.00865340i	$-0.00275450\pi$
$332$	1.10383	+	0.187611i	0.0605804	+	0.0102965i
$333$	9.52122	+	9.52122i	0.521760	+	0.521760i
$334$	3.67081	+	11.5181i	0.200858	+	0.630245i
$335$	−13.8225	−	1.05167i	−0.755205	−	0.0574586i
$336$	8.66976	−	4.06127i	0.472974	−	0.221560i
$337$	−1.47424	−	1.47424i	−0.0803068	−	0.0803068i	0.665812	−	0.746119i	$-0.268085\pi$
$337$	−1.47424	−	1.47424i	−0.0803068	−	0.0803068i	−0.746119	+	0.665812i	$0.768085\pi$
$338$	−21.7109	−	11.2169i	−1.18092	−	0.610119i
$339$			5.82083i			0.316144i
$340$	10.7681	+	17.9189i	0.583980	+	0.971790i
$341$	24.3558			1.31894
$342$	−7.43102	+	14.3831i	−0.401823	+	0.777751i
$343$	−0.589047	+	18.5109i	−0.0318056	+	0.999494i
$344$	−5.68366	−	4.27815i	−0.306443	−	0.230662i
$345$	−0.299213	+	0.256902i	−0.0161091	+	0.0138311i
$346$	−0.0339185	−	0.106428i	−0.00182347	−	0.00572162i
$347$	11.9742	−	11.9742i	0.642809	−	0.642809i	−0.308436	−	0.951245i	$-0.599806\pi$
$347$	11.9742	−	11.9742i	0.642809	−	0.642809i	0.951245	+	0.308436i	$0.0998057\pi$
$348$	4.13310	+	0.702481i	0.221558	+	0.0376569i
$349$		−	15.7075i		−	0.840802i	−0.907338	−	0.420401i	$-0.861889\pi$
$349$		−	15.7075i		−	0.840802i	0.907338	−	0.420401i	$-0.138111\pi$
$350$	11.1628	−	15.0130i	0.596678	−	0.802481i
$351$	25.7941			1.37679
$352$	22.5131	−	21.2783i	1.19995	−	1.13414i
$353$	16.0641	+	16.0641i	0.855003	+	0.855003i	0.990744	−	0.135741i	$-0.0433415\pi$
$353$	16.0641	+	16.0641i	0.855003	+	0.855003i	−0.135741	+	0.990744i	$0.543342\pi$
$354$	−3.10891	+	0.990802i	−0.165237	+	0.0526605i
$355$	−5.59465	−	6.51608i	−0.296933	−	0.345838i
$356$	18.7494	+	26.4279i	0.993714	+	1.40068i
$357$	11.1879	+	0.118637i	0.592125	+	0.00627891i
$358$	−2.06384	+	3.99467i	−0.109077	+	0.211125i
$359$			3.48516i			0.183940i	0.995762	+	0.0919698i	$0.0293163\pi$
$359$			3.48516i			0.183940i	−0.995762	+	0.0919698i	$0.970684\pi$
$360$	9.11017	−	10.3626i	0.480148	−	0.546157i
$361$	−8.53405			−0.449160
$362$	7.34693	−	14.2204i	0.386146	−	0.747407i
$363$	−12.1460	+	12.1460i	−0.637501	+	0.637501i
$364$	−5.18310	+	28.6526i	−0.271668	+	1.50180i
$365$	−2.09726	+	27.5652i	−0.109776	+	1.44283i
$366$	0.335562	+	1.05291i	0.0175401	+	0.0550367i
$367$	−5.86463	+	5.86463i	−0.306131	+	0.306131i	−0.843407	−	0.537275i	$-0.819454\pi$
$367$	−5.86463	+	5.86463i	−0.306131	+	0.306131i	0.537275	+	0.843407i	$0.319454\pi$
$368$	−0.338277	−	0.702641i	−0.0176339	−	0.0366277i
$369$	−9.32602			−0.485493
$370$	10.2484	−	16.6105i	0.532791	−	0.863541i
$371$	7.39658	−	7.24136i	0.384011	−	0.375953i
$372$	1.34838	−	7.93330i	0.0699103	−	0.411323i
$373$	−15.5770	−	15.5770i	−0.806547	−	0.806547i	0.177563	−	0.984109i	$-0.443179\pi$
$373$	−15.5770	−	15.5770i	−0.806547	−	0.806547i	−0.984109	+	0.177563i	$0.943179\pi$
$374$	34.4926	−	10.9927i	1.78357	−	0.568419i
$375$	−2.28426	+	9.85290i	−0.117959	+	0.508802i
$376$	0.394589	−	0.524226i	0.0203494	−	0.0270349i
$377$	−9.01601	+	9.01601i	−0.464348	+	0.464348i
$378$	−5.14825	−	16.7665i	−0.264798	−	0.862375i
$379$	20.3152			1.04352			0.521761	−	0.853092i	$-0.325275\pi$
$379$	20.3152			1.04352			0.521761	+	0.853092i	$0.325275\pi$
$380$	22.7698	+	5.67587i	1.16807	+	0.291166i
$381$	−5.66152			−0.290049
$382$	−8.26087	+	15.9894i	−0.422663	+	0.818087i
$383$	−10.5296	−	10.5296i	−0.538038	−	0.538038i	0.384914	−	0.922952i	$-0.374231\pi$
$383$	−10.5296	−	10.5296i	−0.538038	−	0.538038i	−0.922952	+	0.384914i	$0.874231\pi$
$384$	−5.68452	−	8.51110i	−0.290087	−	0.434330i
$385$	−20.8424	−	24.8025i	−1.06223	−	1.26405i
$386$	−5.58691	−	17.5304i	−0.284366	−	0.892276i
$387$	−3.87992	+	3.87992i	−0.197227	+	0.197227i
$388$	−30.6743	−	5.21354i	−1.55725	−	0.264677i
$389$	−3.85385			−0.195398			−0.0976989	−	0.995216i	$-0.531148\pi$
$389$	−3.85385			−0.195398			−0.0976989	+	0.995216i	$0.531148\pi$
$390$	−3.62837	−	15.3179i	−0.183730	−	0.775654i
$391$		−	0.911350i		−	0.0460889i
$392$	19.6591	−	2.34970i	0.992933	−	0.118678i
$393$	−2.32533	+	2.32533i	−0.117297	+	0.117297i
$394$	−11.3600	−	35.6450i	−0.572308	−	1.79577i
$395$	24.7559	−	21.2552i	1.24561	−	1.06947i
$396$	−13.8254	−	19.4874i	−0.694753	−	0.979279i
$397$	−24.4394	−	24.4394i	−1.22658	−	1.22658i	−0.965251	−	0.261325i	$-0.915840\pi$
$397$	−24.4394	−	24.4394i	−1.22658	−	1.22658i	−0.261325	−	0.965251i	$-0.584160\pi$
$398$	−14.8641	+	28.7703i	−0.745072	+	1.44213i
$399$	8.97436	−	8.78602i	0.449280	−	0.439851i
$400$	−17.6600	−	9.38755i	−0.882998	−	0.469378i
$401$	−12.4092			−0.619685			−0.309843	−	0.950788i	$-0.600276\pi$
$401$	−12.4092			−0.619685			−0.309843	+	0.950788i	$0.600276\pi$
$402$	7.04649	+	3.64055i	0.351447	+	0.181574i
$403$	17.3058	+	17.3058i	0.862064	+	0.862064i
$404$	−1.83413	−	2.58527i	−0.0912512	−	0.128622i
$405$	−3.35655	−	3.90936i	−0.166788	−	0.194258i
$406$	7.66004	+	4.06102i	0.380162	+	0.201545i
$407$	−23.8993	−	23.8993i	−1.18464	−	1.18464i
$408$	−1.67104	−	11.8437i	−0.0827286	−	0.586350i
$409$	18.9480			0.936917			0.468458	−	0.883486i	$-0.344810\pi$
$409$	18.9480			0.936917			0.468458	+	0.883486i	$0.344810\pi$
$410$	3.11584	+	13.1542i	0.153880	+	0.649638i
$411$	−1.28340			−0.0633052
$412$	1.66102	−	9.77273i	0.0818325	−	0.481468i
$413$	−6.74754	−	0.0715512i	−0.332025	−	0.00352080i
$414$	−0.573097	+	0.182645i	−0.0281662	+	0.00897651i
$415$	−1.24821	−	0.0949679i	−0.0612721	−	0.00466179i
$416$	31.1157	+	0.877389i	1.52557	+	0.0430175i
$417$	−12.6867	−	12.6867i	−0.621268	−	0.621268i
$418$	18.6526	−	36.1032i	0.912331	−	1.76587i
$419$			6.88062i			0.336140i	0.985775	+	0.168070i	$0.0537535\pi$
$419$			6.88062i			0.336140i	−0.985775	+	0.168070i	$0.946246\pi$
$420$	−9.23268	+	5.41581i	−0.450508	+	0.264264i
$421$		−	8.59141i		−	0.418720i	−0.977839	−	0.209360i	$-0.932862\pi$
$421$		−	8.59141i		−	0.418720i	0.977839	−	0.209360i	$-0.0671380\pi$
$422$	−2.78165	−	1.43713i	−0.135408	−	0.0699585i
$423$	−0.357859	−	0.357859i	−0.0173997	−	0.0173997i
$424$	−8.84119	−	6.65484i	−0.429366	−	0.323188i
$425$	−13.8366	−	18.8374i	−0.671172	−	0.913749i
$426$	1.49207	+	4.68178i	0.0722911	+	0.226833i
$427$	−0.0242327	+	2.28524i	−0.00117270	+	0.110590i
$428$	15.5933	+	2.65031i	0.753731	+	0.128108i
$429$	−27.2600			−1.31612
$430$	6.76883	+	4.17626i	0.326422	+	0.201397i
$431$	−12.4084			−0.597692			−0.298846	−	0.954301i	$-0.596602\pi$
$431$	−12.4084			−0.597692			−0.298846	+	0.954301i	$0.596602\pi$
$432$	−16.8942	+	8.13346i	−0.812820	+	0.391321i
$433$	13.6612	+	13.6612i	0.656517	+	0.656517i	0.954554	−	0.298037i	$-0.0963320\pi$
$433$	13.6612	+	13.6612i	0.656517	+	0.656517i	−0.298037	+	0.954554i	$0.596332\pi$
$434$	7.79494	−	14.7031i	0.374169	−	0.705771i
$435$	−4.67371	−	0.355592i	−0.224087	−	0.0170493i
$436$	6.33238	+	8.92572i	0.303266	+	0.427464i
$437$	−0.723369	−	0.723369i	−0.0346035	−	0.0346035i
$438$	7.26008	−	14.0523i	0.346900	−	0.671444i
$439$	29.9185			1.42793			0.713966	−	0.700180i	$-0.246897\pi$
$439$	29.9185			1.42793			0.713966	+	0.700180i	$0.246897\pi$
$440$	−22.8675	+	26.0112i	−1.09017	+	1.24004i
$441$	0.323839	−	15.2679i	0.0154209	−	0.727043i
$442$	32.3192	+	16.6977i	1.53727	+	0.794227i
$443$	−10.2994	−	10.2994i	−0.489338	−	0.489338i	0.418759	−	0.908097i	$-0.362465\pi$
$443$	−10.2994	−	10.2994i	−0.489338	−	0.489338i	−0.908097	+	0.418759i	$0.862465\pi$
$444$	−9.10773	+	6.46151i	−0.432234	+	0.306650i
$445$	−23.5998	−	27.4866i	−1.11874	−	1.30299i
$446$	5.91899	−	1.88637i	0.280272	−	0.0893222i
$447$	−0.600994	+	0.600994i	−0.0284260	+	0.0284260i
$448$	−5.64008	−	20.4007i	−0.266469	−	0.963844i
$449$			28.7401i			1.35633i	0.734911	+	0.678164i	$0.237224\pi$
$449$			28.7401i			1.35633i	−0.734911	+	0.678164i	$0.762776\pi$
$450$	−9.07280	+	12.4763i	−0.427696	+	0.588137i
$451$	23.4093			1.10230
$452$	12.6868	+	2.15631i	0.596738	+	0.101424i
$453$	8.08121	−	8.08121i	0.379688	−	0.379688i
$454$	11.4933	−	3.66289i	0.539408	−	0.171908i
$455$	2.81378	−	32.4326i	0.131912	−	1.52047i
$456$	−10.7271	−	8.07439i	−0.502343	−	0.378118i
$457$	28.8478	+	28.8478i	1.34944	+	1.34944i	0.886264	+	0.463181i	$0.153292\pi$
$457$	28.8478	+	28.8478i	1.34944	+	1.34944i	0.463181	+	0.886264i	$0.346708\pi$
$458$	12.0654	+	6.23354i	0.563777	+	0.291274i
$459$	−21.9123			−1.02278
$460$	0.449090	+	0.747320i	0.0209389	+	0.0348440i
$461$	−25.9733			−1.20970			−0.604850	−	0.796340i	$-0.706767\pi$
$461$	−25.9733			−1.20970			−0.604850	+	0.796340i	$0.706767\pi$
$462$	5.44084	+	17.7194i	0.253131	+	0.824379i
$463$	3.87249	−	3.87249i	0.179970	−	0.179970i	−0.611373	−	0.791343i	$-0.709382\pi$
$463$	3.87249	−	3.87249i	0.179970	−	0.179970i	0.791343	+	0.611373i	$0.209382\pi$
$464$	3.06220	−	8.74811i	0.142159	−	0.406121i
$465$	−0.682543	+	8.97098i	−0.0316522	+	0.416019i
$466$	−5.63796	−	17.6906i	−0.261173	−	0.819502i
$467$	−5.48684	−	5.48684i	−0.253901	−	0.253901i	0.568667	−	0.822568i	$-0.307459\pi$
$467$	−5.48684	−	5.48684i	−0.253901	−	0.253901i	−0.822568	+	0.568667i	$0.807459\pi$
$468$	4.02309	−	23.6702i	0.185968	−	1.09415i
$469$	11.4745	+	11.7205i	0.529845	+	0.541202i
$470$	−0.385192	+	0.624315i	−0.0177676	+	0.0287975i
$471$	−9.09356			−0.419009
$472$	1.00782	+	7.14308i	0.0463888	+	0.328787i
$473$	9.73901	−	9.73901i	0.447800	−	0.447800i
$474$	−17.7870	+	5.66869i	−0.816985	+	0.260371i
$475$	−25.9344	−	3.96934i	−1.18995	−	0.182126i
$476$	4.40309	−	24.3406i	0.201815	−	1.11565i
$477$	−6.03538	+	6.03538i	−0.276341	+	0.276341i
$478$	25.9473	+	13.4056i	1.18680	+	0.613158i
$479$	−1.23665			−0.0565040			−0.0282520	−	0.999601i	$-0.508994\pi$
$479$	−1.23665			−0.0565040			−0.0282520	+	0.999601i	$0.508994\pi$
$480$	7.20654	+	8.88857i	0.328932	+	0.405706i
$481$		−	33.9629i		−	1.54858i
$482$	9.29424	+	4.80185i	0.423341	+	0.218718i
$483$	0.466597	+	0.00494782i	0.0212309	+	0.000225134i
$484$	21.9735	+	30.9724i	0.998796	+	1.40784i
$485$	34.6864	+	2.63907i	1.57503	+	0.119834i
$486$	6.93401	+	21.7573i	0.314533	+	0.986932i
$487$	−22.3528	−	22.3528i	−1.01290	−	1.01290i	−0.999916	−	0.0129852i	$-0.995867\pi$
$487$	−22.3528	−	22.3528i	−1.01290	−	1.01290i	−0.0129852	−	0.999916i	$-0.504133\pi$
$488$	2.41920	−	0.341326i	0.109512	−	0.0154511i
$489$	−16.9407			−0.766085
$490$	−21.6433	+	4.64426i	−0.977743	+	0.209806i
$491$			2.35314i			0.106196i	0.998589	+	0.0530978i	$0.0169095\pi$
$491$			2.35314i			0.106196i	−0.998589	+	0.0530978i	$0.983090\pi$
$492$	1.29598	−	7.62502i	0.0584274	−	0.343763i
$493$	7.65919	−	7.65919i	0.344953	−	0.344953i
$494$	38.9064	−	12.3994i	1.75048	−	0.557874i
$495$	17.4020	+	20.2681i	0.782163	+	0.910983i
$496$	−16.7916	−	5.87775i	−0.753965	−	0.263919i
$497$	−0.107751	+	10.1613i	−0.00483328	+	0.455796i
$498$	0.636315	+	0.328751i	0.0285140	+	0.0147317i
$499$	−3.71210			−0.166176			−0.0830881	−	0.996542i	$-0.526478\pi$
$499$	−3.71210			−0.166176			−0.0830881	+	0.996542i	$0.526478\pi$
$500$	20.6288	+	8.62866i	0.922547	+	0.385885i
$501$			7.73305i			0.345487i
$502$	−5.13196	+	9.93319i	−0.229051	+	0.443340i
$503$	−1.72628	−	1.72628i	−0.0769711	−	0.0769711i	0.667573	−	0.744544i	$-0.267333\pi$
$503$	−1.72628	−	1.72628i	−0.0769711	−	0.0769711i	−0.744544	+	0.667573i	$0.767333\pi$
$504$	−16.1889	+	2.10928i	−0.721112	+	0.0939549i
$505$	2.30861	+	2.68883i	0.102732	+	0.119652i
$506$	1.43854	−	0.458458i	0.0639507	−	0.0203810i
$507$	−11.0535	−	11.0535i	−0.490905	−	0.490905i
$508$	−2.09730	+	12.3396i	−0.0930525	+	0.547482i
$509$		−	18.4772i		−	0.818987i	−0.912313	−	0.409493i	$-0.865705\pi$
$509$		−	18.4772i		−	0.818987i	0.912313	−	0.409493i	$-0.134295\pi$
$510$	3.08234	+	13.0127i	0.136488	+	0.576213i
$511$	23.3733	−	22.8828i	1.03398	−	1.01228i
$512$	−20.6563	+	9.23682i	−0.912886	+	0.408214i
$513$	−17.3925	+	17.3925i	−0.767900	+	0.767900i
$514$	6.43341	+	20.1866i	0.283766	+	0.890391i
$515$	−0.840798	+	11.0510i	−0.0370500	+	0.486965i
$516$	−2.63308	−	3.71142i	−0.115915	−	0.163386i
$517$	0.898266	+	0.898266i	0.0395057	+	0.0395057i
$518$	−22.0764	+	6.77869i	−0.969980	+	0.297838i
$519$		−	0.0714539i		−	0.00313648i
$520$	−34.7304	+	2.23375i	−1.52303	+	0.0979565i
$521$			25.1382i			1.10132i	0.834729	+	0.550661i	$0.185624\pi$
$521$			25.1382i			1.10132i	−0.834729	+	0.550661i	$0.814376\pi$
$522$	−6.35143	−	3.28145i	−0.277994	−	0.143625i
$523$	−9.36245	+	9.36245i	−0.409392	+	0.409392i	−0.881526	−	0.472135i	$-0.843484\pi$
$523$	−9.36245	+	9.36245i	−0.409392	+	0.409392i	0.472135	+	0.881526i	$0.343484\pi$
$524$	4.20677	+	5.92960i	0.183774	+	0.259036i
$525$	9.71959	−	6.98184i	0.424198	−	0.304713i
$526$	−6.86617	−	21.5445i	−0.299379	−	0.939383i
$527$	−14.7015	−	14.7015i	−0.640406	−	0.640406i
$528$	17.8543	−	8.59570i	0.777008	−	0.374080i
$529$			22.9620i			0.998347i
$530$	10.5292	+	6.49635i	0.457360	+	0.282183i
$531$	5.56417			0.241464
$532$	−15.8251	−	22.8149i	−0.686106	−	0.989151i
$533$	16.6333	+	16.6333i	0.720469	+	0.720469i
$534$	6.29397	+	19.7490i	0.272367	+	0.854624i
$535$	−17.6329	−	1.34157i	−0.762337	−	0.0580013i
$536$	10.5451	−	14.0096i	0.455481	−	0.605122i
$537$	−2.03378	+	2.03378i	−0.0877641	+	0.0877641i
$538$	30.1448	+	15.5742i	1.29963	+	0.671452i
$539$	−0.812872	+	38.3241i	−0.0350129	+	1.65073i
$540$	17.9684	−	10.7978i	0.773238	−	0.464664i
$541$			43.6281i			1.87572i	0.347014	+	0.937860i	$0.387196\pi$
$541$			43.6281i			1.87572i	−0.347014	+	0.937860i	$0.612804\pi$
$542$	31.0684	+	16.0514i	1.33450	+	0.689467i
$543$	7.23993	−	7.23993i	0.310695	−	0.310695i
$544$	−26.4331	−	0.745350i	−1.13331	−	0.0319566i
$545$	−7.97056	−	9.28329i	−0.341421	−	0.397653i
$546$	−8.72442	+	16.4563i	−0.373371	+	0.704265i
$547$	−19.1006	+	19.1006i	−0.816681	+	0.816681i	−0.985626	−	0.168944i	$-0.945964\pi$
$547$	−19.1006	+	19.1006i	−0.816681	+	0.816681i	0.168944	+	0.985626i	$0.445964\pi$
$548$	−0.475431	+	2.79723i	−0.0203094	+	0.119492i
$549$		−	1.88445i		−	0.0804265i
$550$	22.7737	−	31.3168i	0.971074	−	1.33535i
$551$		−	12.1587i		−	0.517979i
$552$	−0.0696917	−	0.493949i	−0.00296627	−	0.0210239i
$553$	−38.6048	−	0.409367i	−1.64164	−	0.0174080i
$554$	−6.77883	−	21.2704i	−0.288005	−	0.903693i
$555$	9.47259	−	8.13309i	0.402089	−	0.345231i
$556$	−32.3510	+	22.9516i	−1.37199	+	0.973363i
$557$	4.00096	−	4.00096i	0.169526	−	0.169526i	−0.617245	−	0.786771i	$-0.711751\pi$
$557$	4.00096	−	4.00096i	0.169526	−	0.169526i	0.786771	+	0.617245i	$0.211751\pi$
$558$	−6.29859	+	12.1913i	−0.266641	+	0.516098i
$559$	13.8400			0.585368
$560$	8.38384	+	22.1294i	0.354282	+	0.935139i
$561$	23.1576			0.977716
$562$	10.8242	−	20.9508i	0.456591	−	0.883756i
$563$	−20.4343	+	20.4343i	−0.861203	+	0.861203i	−0.991478	−	0.130275i	$-0.958414\pi$
$563$	−20.4343	+	20.4343i	−0.861203	+	0.861203i	0.130275	+	0.991478i	$0.458414\pi$
$564$	0.342318	−	0.242859i	0.0144142	−	0.0102262i
$565$	−14.3463	−	1.09151i	−0.603552	−	0.0459203i
$566$	−6.25278	−	19.6198i	−0.262824	−	0.824681i
$567$	−0.0646457	+	6.09632i	−0.00271486	+	0.256022i
$568$	10.7569	−	1.51770i	0.451351	−	0.0636814i
$569$		−	40.8383i		−	1.71203i	−0.516952	−	0.856015i	$-0.672933\pi$
$569$		−	40.8383i		−	1.71203i	0.516952	−	0.856015i	$-0.327067\pi$
$570$	12.7752	+	7.88209i	0.535094	+	0.330145i
$571$			36.0003i			1.50656i	0.657698	+	0.753282i	$0.271530\pi$
$571$			36.0003i			1.50656i	−0.657698	+	0.753282i	$0.728470\pi$
$572$	−10.0984	+	59.4147i	−0.422235	+	2.48425i
$573$	−8.14056	+	8.14056i	−0.340077	+	0.340077i
$574$	7.49203	−	14.1317i	0.312711	−	0.589848i
$575$	−0.577063	−	0.785627i	−0.0240652	−	0.0327629i
$576$	4.82878	+	16.7717i	0.201199	+	0.698819i
$577$	−0.992140	+	0.992140i	−0.0413033	+	0.0413033i	−0.727457	−	0.686153i	$-0.759298\pi$
$577$	−0.992140	+	0.992140i	−0.0413033	+	0.0413033i	0.686153	+	0.727457i	$0.259298\pi$
$578$	−6.09614	−	3.14956i	−0.253566	−	0.131004i
$579$		−	11.7696i		−	0.489127i
$580$	−2.50640	+	10.0549i	−0.104073	+	0.417507i
$581$	1.03618	+	1.05839i	0.0429879	+	0.0439094i
$582$	−17.6826	−	9.13566i	−0.732966	−	0.378685i
$583$	15.1495	−	15.1495i	0.627426	−	0.627426i
$584$	−27.9383	−	21.0294i	−1.15609	−	0.870203i
$585$	−2.03647	+	26.7662i	−0.0841976	+	1.10665i
$586$	−1.26756	−	3.97731i	−0.0523624	−	0.164301i
$587$	9.29412	+	9.29412i	0.383609	+	0.383609i	0.872401	−	0.488791i	$-0.162562\pi$
$587$	9.29412	+	9.29412i	0.383609	+	0.383609i	−0.488791	+	0.872401i	$0.662562\pi$
$588$	12.4381	+	2.38646i	0.512940	+	0.0984162i
$589$	−23.3381			−0.961630
$590$	−1.85900	−	7.84814i	−0.0765336	−	0.323103i
$591$		−	23.9313i		−	0.984404i
$592$	10.7093	+	22.2445i	0.440149	+	0.914242i
$593$	14.4627	+	14.4627i	0.593911	+	0.593911i	0.938686	−	0.344774i	$-0.112045\pi$
$593$	14.4627	+	14.4627i	0.593911	+	0.593911i	−0.344774	+	0.938686i	$0.612045\pi$
$594$	−11.0231	−	34.5879i	−0.452282	−	1.41916i
$595$	−2.39033	+	27.5518i	−0.0979940	+	1.12952i
$596$	1.08726	+	1.53254i	0.0445361	+	0.0627752i
$597$	−14.6477	+	14.6477i	−0.599489	+	0.599489i
$598$	1.34790	+	0.696387i	0.0551196	+	0.0284774i
$599$			10.0983i			0.412607i	0.978488	+	0.206303i	$0.0661434\pi$
$599$			10.0983i			0.412607i	−0.978488	+	0.206303i	$0.933857\pi$
$600$	−8.93990	−	9.15174i	−0.364970	−	0.373618i
$601$			13.3311i			0.543788i	0.962327	+	0.271894i	$0.0876501\pi$
$601$			13.3311i			0.543788i	−0.962327	+	0.271894i	$0.912350\pi$
$602$	−2.76233	−	8.99617i	−0.112584	−	0.366656i
$603$	−9.56356	−	9.56356i	−0.389458	−	0.389458i
$604$	−14.6198	−	20.6071i	−0.594871	−	0.838492i
$605$	−27.6580	−	32.2132i	−1.12446	−	1.30965i
$606$	−0.615698	−	1.93192i	−0.0250110	−	0.0784788i
$607$	30.3853	−	30.3853i	1.23330	−	1.23330i	0.270612	−	0.962688i	$-0.412774\pi$
$607$	30.3853	−	30.3853i	1.23330	−	1.23330i	0.962688	−	0.270612i	$-0.0872261\pi$
$608$	−21.5724	+	20.3892i	−0.874878	+	0.826892i
$609$	3.87981	+	3.96297i	0.157218	+	0.160588i
$610$	−2.65798	+	0.629598i	−0.107619	+	0.0254917i
$611$			1.27651i			0.0516422i
$612$	−3.41766	+	20.1081i	−0.138151	+	0.812820i
$613$	−17.6515	−	17.6515i	−0.712936	−	0.712936i	0.254213	−	0.967148i	$-0.418184\pi$
$613$	−17.6515	−	17.6515i	−0.712936	−	0.712936i	−0.967148	+	0.254213i	$0.918184\pi$
$614$	−10.9096	+	3.47686i	−0.440274	+	0.140314i
$615$	−0.656020	+	8.62237i	−0.0264533	+	0.347688i
$616$	40.6359	−	5.29452i	1.63727	−	0.213322i
$617$	−22.3017	−	22.3017i	−0.897831	−	0.897831i	0.0974130	−	0.995244i	$-0.468943\pi$
$617$	−22.3017	−	22.3017i	−0.897831	−	0.897831i	−0.995244	+	0.0974130i	$0.968943\pi$
$618$	2.91059	−	5.63361i	0.117081	−	0.226617i
$619$		−	13.9546i		−	0.560881i	−0.959871	−	0.280441i	$-0.909519\pi$
$619$		−	13.9546i		−	0.560881i	0.959871	−	0.280441i	$-0.0904806\pi$
$620$	19.2999	+	4.81092i	0.775103	+	0.193211i
$621$	−0.913868			−0.0366722
$622$	−33.4881	−	17.3016i	−1.34275	−	0.693729i
$623$	−0.454522	+	42.8631i	−0.0182100	+	1.71727i
$624$	18.7938	+	6.57862i	0.752356	+	0.263355i
$625$	−23.8555	−	7.47748i	−0.954222	−	0.299099i
$626$	−15.7569	+	5.02169i	−0.629773	+	0.200707i
$627$	18.3810	−	18.3810i	0.734066	−	0.734066i
$628$	−3.36869	+	19.8199i	−0.134425	+	0.790902i
$629$			28.8519i			1.15040i
$630$	17.8049	−	4.01856i	0.709363	−	0.160103i
$631$	−1.02253			−0.0407062			−0.0203531	−	0.999793i	$-0.506479\pi$
$631$	−1.02253			−0.0407062			−0.0203531	+	0.999793i	$0.506479\pi$
$632$	5.76607	+	40.8678i	0.229362	+	1.62563i
$633$	−1.41620	−	1.41620i	−0.0562889	−	0.0562889i
$634$	−0.789857	−	2.47839i	−0.0313692	−	0.0984294i
$635$	1.06164	−	13.9536i	0.0421299	−	0.553733i
$636$	−4.09587	−	5.77327i	−0.162412	−	0.228925i
$637$	−27.8085	+	26.6533i	−1.10181	+	1.05604i
$638$	15.9428	+	8.23680i	0.631180	+	0.326098i
$639$		−	8.37920i		−	0.331476i
$640$	22.0428	−	12.4143i	0.871318	−	0.490719i
$641$	45.0564			1.77962			0.889810	−	0.456330i	$-0.150836\pi$
$641$	45.0564			1.77962			0.889810	+	0.456330i	$0.150836\pi$
$642$	8.98896	+	4.64413i	0.354766	+	0.183289i
$643$	19.4465	−	19.4465i	0.766894	−	0.766894i	−0.210665	−	0.977558i	$-0.567563\pi$
$643$	19.4465	−	19.4465i	0.766894	−	0.766894i	0.977558	+	0.210665i	$0.0675629\pi$
$644$	0.183634	−	1.01514i	0.00723619	−	0.0400022i
$645$	3.31425	+	3.86010i	0.130499	+	0.151991i
$646$	−33.0514	+	10.5334i	−1.30039	+	0.414431i
$647$	2.69899	−	2.69899i	0.106108	−	0.106108i	−0.652060	−	0.758168i	$-0.726095\pi$
$647$	2.69899	−	2.69899i	0.106108	−	0.106108i	0.758168	+	0.652060i	$0.226095\pi$
$648$	6.45369	−	0.910556i	0.253525	−	0.0357700i
$649$	−13.9667			−0.548239
$650$	38.4336	−	6.07024i	1.50749	−	0.238094i
$651$	7.60674	−	7.44711i	0.298132	−	0.291875i
$652$	−6.27564	+	36.9232i	−0.245773	+	1.44603i
$653$	9.92738	+	9.92738i	0.388488	+	0.388488i	0.874148	−	0.485660i	$-0.161421\pi$
$653$	9.92738	+	9.92738i	0.388488	+	0.388488i	−0.485660	+	0.874148i	$0.661421\pi$
$654$	2.12572	+	6.67001i	0.0831221	+	0.260818i
$655$	−5.29506	−	6.16714i	−0.206895	−	0.240970i
$656$	−16.1391	−	5.64934i	−0.630125	−	0.220570i
$657$	−19.0719	+	19.0719i	−0.744066	+	0.744066i
$658$	0.829750	−	0.254780i	0.0323470	−	0.00993235i
$659$	32.2368			1.25577			0.627884	−	0.778307i	$-0.283921\pi$
$659$	32.2368			1.25577			0.627884	+	0.778307i	$0.283921\pi$
$660$	−18.9896	+	11.4115i	−0.739169	+	0.444191i
$661$	23.5874			0.917442			0.458721	−	0.888580i	$-0.348308\pi$
$661$	23.5874			0.917442			0.458721	+	0.888580i	$0.348308\pi$
$662$	−0.395613	−	0.204392i	−0.0153759	−	0.00794394i
$663$	16.4545	+	16.4545i	0.639039	+	0.639039i
$664$	0.952252	−	1.26510i	0.0369546	−	0.0490954i
$665$	19.9716	+	23.7661i	0.774464	+	0.921611i
$666$	18.1433	−	5.78224i	0.703040	−	0.224057i
$667$	0.319432	−	0.319432i	0.0123684	−	0.0123684i
$668$	16.8546	+	2.86469i	0.652125	+	0.110838i
$669$	3.97389			0.153640
$670$	−10.2940	+	16.6844i	−0.397692	+	0.644575i
$671$			4.73018i			0.182607i
$672$	0.525116	−	13.5293i	0.0202568	−	0.521903i
$673$	−19.0926	+	19.0926i	−0.735964	+	0.735964i	−0.971794	−	0.235830i	$-0.924219\pi$
$673$	−19.0926	+	19.0926i	−0.735964	+	0.735964i	0.235830	+	0.971794i	$0.424219\pi$
$674$	−2.80926	+	0.895304i	−0.108208	+	0.0344858i
$675$	−18.8895	+	13.8748i	−0.727055	+	0.534041i
$676$	−28.1866	+	19.9971i	−1.08410	+	0.769119i
$677$	−9.56794	−	9.56794i	−0.367726	−	0.367726i	0.498921	−	0.866647i	$-0.333730\pi$
$677$	−9.56794	−	9.56794i	−0.367726	−	0.367726i	−0.866647	+	0.498921i	$0.833730\pi$
$678$	7.31348	+	3.77849i	0.280873	+	0.145112i
$679$	−28.7944	−	29.4116i	−1.10503	−	1.12871i
$680$	29.5038	−	1.89759i	1.13142	−	0.0727694i
$681$	7.71638			0.295692
$682$	15.8101	−	30.6014i	0.605402	−	1.17179i
$683$	−2.22869	−	2.22869i	−0.0852786	−	0.0852786i	0.663181	−	0.748459i	$-0.269206\pi$
$683$	−2.22869	−	2.22869i	−0.0852786	−	0.0852786i	−0.748459	+	0.663181i	$0.769206\pi$
$684$	13.2477	+	18.6732i	0.506540	+	0.713986i
$685$	0.240661	−	3.16311i	0.00919517	−	0.120856i
$686$	22.8753	+	12.7561i	0.873384	+	0.487032i
$687$	6.14275	+	6.14275i	0.234361	+	0.234361i
$688$	−9.06466	+	4.36406i	−0.345587	+	0.166378i
$689$	21.5287			0.820177
$690$	0.128551	+	0.542705i	0.00489385	+	0.0206604i
$691$	−30.2046			−1.14904			−0.574518	−	0.818492i	$-0.694810\pi$
$691$	−30.2046			−1.14904			−0.574518	+	0.818492i	$0.694810\pi$
$692$	−0.155738	−	0.0264699i	−0.00592026	−	0.00100623i
$693$	0.335156	−	31.6064i	0.0127315	−	1.20063i
$694$	−7.27193	−	22.8176i	−0.276039	−	0.866146i
$695$	33.6471	−	28.8891i	1.27631	−	1.09583i
$696$	3.56556	−	4.73697i	0.135152	−	0.179554i
$697$	−14.1302	−	14.1302i	−0.535219	−	0.535219i
$698$	−19.7354	−	10.1962i	−0.746996	−	0.385934i
$699$		−	11.8771i		−	0.449234i
$700$	−11.6167	−	23.7708i	−0.439071	−	0.898452i
$701$		−	18.0422i		−	0.681443i	−0.940164	−	0.340721i	$-0.889329\pi$
$701$		−	18.0422i		−	0.681443i	0.940164	−	0.340721i	$-0.110671\pi$
$702$	16.7438	−	32.4085i	0.631954	−	1.22318i
$703$	22.9007	+	22.9007i	0.863716	+	0.863716i
$704$	−12.1207	−	42.0987i	−0.456818	−	1.58665i
$705$	−0.356032	+	0.305686i	−0.0134089	+	0.0115128i
$706$	30.6111	−	9.75570i	1.15207	−	0.367161i
$707$	0.0444629	−	4.19301i	0.00167220	−	0.157694i
$708$	−0.773220	+	4.54930i	−0.0290594	+	0.170973i
$709$	23.5890			0.885903			0.442951	−	0.896546i	$-0.353931\pi$
$709$	23.5890			0.885903			0.442951	+	0.896546i	$0.353931\pi$
$710$	−11.8187	+	2.79950i	−0.443548	+	0.105064i
$711$	31.8343			1.19388
$712$	45.3757	−	6.40209i	1.70053	−	0.239929i
$713$	−0.613134	−	0.613134i	−0.0229621	−	0.0229621i
$714$	7.41148	−	13.9798i	0.277368	−	0.523181i
$715$	5.11175	−	67.1861i	0.191169	−	2.51262i
$716$	3.67933	+	5.18615i	0.137503	+	0.193816i
$717$	13.2104	+	13.2104i	0.493350	+	0.493350i
$718$	4.37887	+	2.26233i	0.163418	+	0.0844295i
$719$	14.6277			0.545520			0.272760	−	0.962082i	$-0.412064\pi$
$719$	14.6277			0.545520			0.272760	+	0.962082i	$0.412064\pi$
$720$	−7.10620	−	18.1730i	−0.264832	−	0.677269i
$721$	9.37045	−	9.17381i	0.348974	−	0.341650i
$722$	−5.53974	+	10.7225i	−0.206168	+	0.399049i
$723$	4.73192	+	4.73192i	0.175982	+	0.175982i
$724$	−13.0978	−	18.4619i	−0.486777	−	0.686130i
$725$	1.75282	−	11.4524i	0.0650980	−	0.425330i
$726$	7.37628	+	23.1451i	0.273760	+	0.858994i
$727$	−3.78061	+	3.78061i	−0.140215	+	0.140215i	−0.773730	−	0.633515i	$-0.781611\pi$
$727$	−3.78061	+	3.78061i	−0.140215	+	0.140215i	0.633515	+	0.773730i	$0.281611\pi$
$728$	32.6355	+	25.1116i	1.20955	+	0.930697i
$729$			7.69445i			0.284980i
$730$	33.2725	+	20.5286i	1.23147	+	0.759797i
$731$	−11.7572			−0.434855
$732$	1.54074	+	0.261871i	0.0569475	+	0.00967905i
$733$	−13.1212	+	13.1212i	−0.484643	+	0.484643i	−0.906611	−	0.421968i	$-0.861340\pi$
$733$	−13.1212	+	13.1212i	−0.484643	+	0.484643i	0.421968	+	0.906611i	$0.361340\pi$
$734$	3.56159	+	11.1755i	0.131461	+	0.412493i
$735$	−14.0932	−	1.37339i	−0.519834	−	0.0506584i
$736$	−1.10241	−	0.0310853i	−0.0406353	−	0.00114582i
$737$	24.0056	+	24.0056i	0.884256	+	0.884256i
$738$	−6.05384	+	11.7175i	−0.222845	+	0.431328i
$739$	−32.7992			−1.20654			−0.603269	−	0.797538i	$-0.706135\pi$
$739$	−32.7992			−1.20654			−0.603269	+	0.797538i	$0.706135\pi$
$740$	−14.2174	−	23.6589i	−0.522644	−	0.869720i
$741$	26.1210			0.959578
$742$	−4.29692	−	13.9939i	−0.157745	−	0.513733i
$743$	−18.2128	+	18.2128i	−0.668165	+	0.668165i	−0.957291	−	0.289126i	$-0.906635\pi$
$743$	−18.2128	+	18.2128i	−0.668165	+	0.668165i	0.289126	+	0.957291i	$0.406635\pi$
$744$	−9.09239	−	6.84392i	−0.333343	−	0.250910i
$745$	−1.36854	−	1.59393i	−0.0501394	−	0.0583972i
$746$	−29.6830	+	9.45992i	−1.08677	+	0.346352i
$747$	−0.863613	−	0.863613i	−0.0315979	−	0.0315979i
$748$	8.57868	−	50.4734i	0.313668	−	1.84549i
$749$	14.6377	+	14.9514i	0.534849	+	0.546314i
$750$	10.8967	+	9.26587i	0.397892	+	0.338342i
$751$	−39.3598			−1.43626			−0.718129	−	0.695910i	$-0.755001\pi$
$751$	−39.3598			−1.43626			−0.718129	+	0.695910i	$0.755001\pi$
$752$	−0.402514	−	0.836068i	−0.0146782	−	0.0304883i
$753$	−5.05722	+	5.05722i	−0.184295	+	0.184295i
$754$	5.47542	+	17.1806i	0.199403	+	0.625681i
$755$	18.4019	+	21.4327i	0.669714	+	0.780015i
$756$	−24.4079	−	4.41526i	−0.887706	−	0.160581i
$757$	18.4685	−	18.4685i	0.671248	−	0.671248i	−0.286756	−	0.958004i	$-0.592577\pi$
$757$	18.4685	−	18.4685i	0.671248	−	0.671248i	0.958004	+	0.286756i	$0.0925769\pi$
$758$	13.1873	−	25.5247i	0.478984	−	0.927099i
$759$	0.965804			0.0350565
$760$	21.9120	−	24.9244i	0.794833	−	0.904103i
$761$			1.87865i			0.0681012i	0.999420	+	0.0340506i	$0.0108407\pi$
$761$			1.87865i			0.0681012i	−0.999420	+	0.0340506i	$0.989159\pi$
$762$	−3.67509	+	7.11333i	−0.133134	+	0.257689i
$763$	−0.153510	+	14.4765i	−0.00555742	+	0.524085i
$764$	14.7272	+	20.7585i	0.532810	+	0.751015i
$765$	1.73000	−	22.7382i	0.0625483	−	0.822101i
$766$	−20.0649	+	6.39463i	−0.724974	+	0.231047i
$767$	−9.92390	−	9.92390i	−0.358331	−	0.358331i
$768$	−14.3837	+	1.61738i	−0.519025	+	0.0583622i
$769$	−31.5568			−1.13797			−0.568983	−	0.822349i	$-0.692663\pi$
$769$	−31.5568			−1.13797			−0.568983	+	0.822349i	$0.692663\pi$
$770$	−44.6922	+	10.0870i	−1.61059	+	0.363511i
$771$			13.5528i			0.488094i
$772$	−25.6525	−	4.36001i	−0.923253	−	0.156920i
$773$	−13.7909	+	13.7909i	−0.496024	+	0.496024i	−0.910198	−	0.414174i	$-0.864071\pi$
$773$	−13.7909	+	13.7909i	−0.496024	+	0.496024i	0.414174	+	0.910198i	$0.364071\pi$
$774$	2.35627	+	7.39344i	0.0846945	+	0.265752i
$775$	−21.9823	−	3.36445i	−0.789626	−	0.120855i
$776$	−26.4622	+	35.1559i	−0.949936	+	1.26202i
$777$	−14.7717	−	0.156640i	−0.529932	−	0.00561942i
$778$	−2.50166	+	4.84210i	−0.0896889	+	0.173598i
$779$	−22.4312			−0.803681
$780$	−21.6013	−	5.38458i	−0.773449	−	0.192799i
$781$			21.0327i			0.752609i
$782$	−1.14505	−	0.591588i	−0.0409469	−	0.0211551i
$783$	−7.68035	−	7.68035i	−0.274473	−	0.274473i
$784$	9.80912	−	26.2256i	0.350326	−	0.936628i
$785$	1.70521	−	22.4124i	0.0608616	−	0.799932i
$786$	1.41217	+	4.43107i	0.0503705	+	0.158051i
$787$	28.5075	+	28.5075i	1.01618	+	1.01618i	0.999867	+	0.0163171i	$0.00519411\pi$
$787$	28.5075	+	28.5075i	1.01618	+	1.01618i	0.0163171	+	0.999867i	$0.494806\pi$
$788$	−52.1597	−	8.86531i	−1.85811	−	0.315814i
$789$		−	14.4645i		−	0.514950i
$790$	−10.6359	−	44.9017i	−0.378408	−	1.59753i
$791$	11.9093	+	12.1646i	0.423447	+	0.432523i
$792$	−33.4592	+	4.72078i	−1.18892	+	0.167746i
$793$	−3.36100	+	3.36100i	−0.119352	+	0.119352i
$794$	−46.5708	+	14.8420i	−1.65274	+	0.526724i
$795$	5.15546	+	6.00455i	0.182845	+	0.212960i
$796$	26.4992	+	37.3516i	0.939240	+	1.32389i
$797$	31.5989	+	31.5989i	1.11929	+	1.11929i	0.991845	+	0.127446i	$0.0406780\pi$
$797$	31.5989	+	31.5989i	1.11929	+	1.11929i	0.127446	+	0.991845i	$0.459322\pi$
$798$	−5.21350	−	16.9790i	−0.184556	−	0.601050i
$799$		−	1.08441i		−	0.0383637i
$800$	−23.2585	+	16.0948i	−0.822312	+	0.569036i
$801$		−	35.3458i		−	1.24888i
$802$	−8.05522	+	15.5913i	−0.284440	+	0.550549i
$803$	47.8725	−	47.8725i	1.68938	−	1.68938i
$804$	9.14822	−	6.49024i	0.322633	−	0.228893i
$805$	−0.0996903	+	1.14907i	−0.00351362	+	0.0404993i
$806$	32.9774	−	10.5098i	1.16158	−	0.370193i
$807$	15.3474	+	15.3474i	0.540254	+	0.540254i
$808$	−4.43881	+	0.626274i	−0.156157	+	0.0220323i
$809$			33.7550i			1.18676i	0.804921	+	0.593382i	$0.202208\pi$
$809$			33.7550i			1.18676i	−0.804921	+	0.593382i	$0.797792\pi$
$810$	−7.09070	+	1.67958i	−0.249142	+	0.0590144i
$811$	35.6607			1.25222			0.626109	−	0.779736i	$-0.284647\pi$
$811$	35.6607			1.25222			0.626109	+	0.779736i	$0.284647\pi$
$812$	10.0748	−	6.98819i	0.353556	−	0.245237i
$813$	15.8176	+	15.8176i	0.554749	+	0.554749i
$814$	−45.5417	+	14.5140i	−1.59624	+	0.508717i
$815$	3.17670	−	41.7528i	0.111275	−	1.46254i
$816$	−15.9655	−	5.58860i	−0.558906	−	0.195640i
$817$	−9.33208	+	9.33208i	−0.326488	+	0.326488i
$818$	12.2998	−	23.8069i	0.430051	−	0.832387i
$819$	22.6958	−	22.2196i	0.793057	−	0.776414i
$820$	18.5499	+	4.62397i	0.647792	+	0.161476i
$821$		−	57.1532i		−	1.99466i	−0.0730122	−	0.997331i	$-0.523261\pi$
$821$		−	57.1532i		−	1.99466i	0.0730122	−	0.997331i	$-0.476739\pi$
$822$	−0.833095	+	1.61250i	−0.0290575	+	0.0562424i
$823$	−17.9305	+	17.9305i	−0.625016	+	0.625016i	−0.946810	−	0.321793i	$-0.895714\pi$
$823$	−17.9305	+	17.9305i	−0.625016	+	0.625016i	0.321793	+	0.946810i	$0.395714\pi$
$824$	−11.2006	−	8.43077i	−0.390190	−	0.293700i
$825$	19.9630	−	14.6633i	0.695021	−	0.510511i
$826$	−4.46996	+	8.43139i	−0.155530	+	0.293366i
$827$	19.1856	−	19.1856i	0.667147	−	0.667147i	−0.289907	−	0.957055i	$-0.593625\pi$
$827$	19.1856	−	19.1856i	0.667147	−	0.667147i	0.957055	+	0.289907i	$0.0936245\pi$
$828$	−0.142536	+	0.838620i	−0.00495346	+	0.0291441i
$829$		−	17.7273i		−	0.615694i	−0.951436	−	0.307847i	$-0.900392\pi$
$829$		−	17.7273i		−	0.615694i	0.951436	−	0.307847i	$-0.0996084\pi$
$830$	−0.929574	+	1.50664i	−0.0322660	+	0.0522963i
$831$		−	14.2805i		−	0.495386i
$832$	21.3006	−	38.5252i	0.738466	−	1.33562i
$833$	23.6236	−	22.6423i	0.818508	−	0.784508i
$834$	−24.1753	+	7.70461i	−0.837122	+	0.266789i
$835$	−19.0592	−	1.45009i	−0.659571	−	0.0501825i
$836$	−33.2532	−	46.8716i	−1.15009	−	1.62109i
$837$	−14.7421	+	14.7421i	−0.509561	+	0.509561i
$838$	8.64504	+	4.46644i	0.298638	+	0.154291i
$839$	−11.0649			−0.382004			−0.191002	−	0.981590i	$-0.561174\pi$
$839$	−11.0649			−0.382004			−0.191002	+	0.981590i	$0.561174\pi$
$840$	0.811360	+	15.1158i	0.0279946	+	0.521546i
$841$	−23.6308			−0.814857
$842$	−10.7945	−	5.57697i	−0.372004	−	0.192195i
$843$	10.6665	−	10.6665i	0.367375	−	0.367375i
$844$	−3.61132	+	2.56206i	−0.124307	+	0.0881899i
$845$	29.3158	−	25.1703i	1.00849	−	0.865885i
$846$	−0.681925	+	0.217328i	−0.0234451	+	0.00747189i
$847$	−0.532682	+	50.2338i	−0.0183032	+	1.72605i
$848$	−14.1005	+	6.78848i	−0.484212	+	0.233117i
$849$		−	13.1723i		−	0.452073i
$850$	−32.6497	+	5.15673i	−1.11988	+	0.176874i
$851$			1.20329i			0.0412481i
$852$	6.85089	+	1.16441i	0.234708	+	0.0398920i
$853$	−20.5257	+	20.5257i	−0.702788	+	0.702788i	−0.965008	−	0.262220i	$-0.915545\pi$
$853$	−20.5257	+	20.5257i	−0.702788	+	0.702788i	0.262220	+	0.965008i	$0.415545\pi$
$854$	2.85552	+	1.51387i	0.0977138	+	0.0518036i
$855$	−16.6749	−	19.4212i	−0.570270	−	0.664192i
$856$	13.4521	−	17.8716i	0.459783	−	0.610837i
$857$	−16.9703	+	16.9703i	−0.579694	+	0.579694i	−0.934819	−	0.355125i	$-0.884438\pi$
$857$	−16.9703	+	16.9703i	−0.579694	+	0.579694i	0.355125	+	0.934819i	$0.384438\pi$
$858$	−17.6954	+	34.2504i	−0.604110	+	1.16929i
$859$			27.1481i			0.926282i	0.886285	+	0.463141i	$0.153278\pi$
$859$			27.1481i			0.926282i	−0.886285	+	0.463141i	$0.846722\pi$
$860$	9.64107	−	5.79364i	0.328758	−	0.197561i
$861$	7.31115	−	7.15772i	0.249163	−	0.243935i
$862$	−8.05471	+	15.5903i	−0.274345	+	0.531009i
$863$	−27.3793	+	27.3793i	−0.932004	+	0.932004i	−0.997831	−	0.0658273i	$-0.979031\pi$
$863$	−27.3793	+	27.3793i	−0.932004	+	0.932004i	0.0658273	+	0.997831i	$0.479031\pi$
$864$	−0.747409	+	26.5061i	−0.0254274	+	0.901755i
$865$	0.176108	+	0.0133989i	0.00598786	+	0.000455577i
$866$	26.0324	−	8.29647i	0.884617	−	0.281925i
$867$	−3.10369	−	3.10369i	−0.105407	−	0.105407i
$868$	−13.4135	−	19.3381i	−0.455284	−	0.656378i
$869$	−79.9076			−2.71068
$870$	−3.48064	+	5.64138i	−0.118005	+	0.191261i
$871$			34.1140i			1.15591i
$872$	15.3251	−	2.16223i	0.518974	−	0.0732225i
$873$	23.9989	+	23.9989i	0.812241	+	0.812241i
$874$	−1.37843	+	0.439302i	−0.0466261	+	0.0148596i
$875$	15.3851	+	25.2645i	0.520113	+	0.854098i
$876$	−12.9430	−	18.2436i	−0.437304	−	0.616395i
$877$	35.6327	−	35.6327i	1.20323	−	1.20323i	0.230053	−	0.973178i	$-0.426110\pi$
$877$	35.6327	−	35.6327i	1.20323	−	1.20323i	0.973178	−	0.230053i	$-0.0738901\pi$
$878$	19.4211	−	37.5906i	0.655431	−	1.26862i
$879$		−	2.67028i		−	0.0900664i
$880$	17.8373	+	45.6163i	0.601296	+	1.53772i
$881$		−	45.9670i		−	1.54867i	−0.632778	−	0.774333i	$-0.718085\pi$
$881$		−	45.9670i		−	1.54867i	0.632778	−	0.774333i	$-0.281915\pi$
$882$	−18.9729	−	10.3178i	−0.638851	−	0.347418i
$883$	27.3677	+	27.3677i	0.920997	+	0.920997i	0.997100	−	0.0761027i	$-0.0242477\pi$
$883$	27.3677	+	27.3677i	0.920997	+	0.920997i	−0.0761027	+	0.997100i	$0.524248\pi$
$884$	41.9590	−	29.7680i	1.41123	−	1.00121i
$885$	0.391400	−	5.14435i	0.0131568	−	0.172925i
$886$	−19.6262	+	6.25481i	−0.659353	+	0.210134i
$887$	−14.6486	+	14.6486i	−0.491853	+	0.491853i	−0.908890	−	0.417036i	$-0.863069\pi$
$887$	−14.6486	+	14.6486i	−0.491853	+	0.491853i	0.417036	+	0.908890i	$0.363069\pi$
$888$	2.20633	+	15.6376i	0.0740394	+	0.524765i
$889$	−11.8317	+	11.5834i	−0.396822	+	0.388494i
$890$	−49.8545	+	11.8091i	−1.67113	+	0.395841i
$891$			12.6187i			0.422743i
$892$	1.47212	−	8.66133i	0.0492902	−	0.290003i
$893$	−0.860733	−	0.860733i	−0.0288033	−	0.0288033i
$894$	0.364984	+	1.14523i	0.0122069	+	0.0383024i
$895$	−4.63117	−	5.39392i	−0.154803	−	0.180299i
$896$	−29.2933	−	6.15641i	−0.978621	−	0.205671i
$897$	0.686245	+	0.686245i	0.0229131	+	0.0229131i
$898$	36.1100	+	18.6561i	1.20501	+	0.622563i
$899$		−	10.3058i		−	0.343719i
$900$	9.78616	+	19.4981i	0.326205	+	0.649938i
$901$	−18.2888			−0.609289
$902$	15.1958	−	29.4123i	0.505964	−	0.979321i
$903$	0.0638311	−	6.01950i	0.00212416	−	0.200317i
$904$	10.9447	−	14.5404i	0.364016	−	0.483607i
$905$	16.4862	+	19.2015i	0.548021	+	0.638278i
$906$	−4.90772	−	15.3993i	−0.163048	−	0.511607i
$907$	31.7875	−	31.7875i	1.05549	−	1.05549i	0.0571209	−	0.998367i	$-0.481808\pi$
$907$	31.7875	−	31.7875i	1.05549	−	1.05549i	0.998367	−	0.0571209i	$-0.0181921\pi$
$908$	2.85851	−	16.8183i	0.0948631	−	0.558134i
$909$			3.45765i			0.114683i
$910$	−38.9229	−	24.5884i	−1.29028	−	0.815099i
$911$	16.5303			0.547675			0.273837	−	0.961776i	$-0.411707\pi$
$911$	16.5303			0.547675			0.273837	+	0.961776i	$0.411707\pi$
$912$	−17.1083	+	8.23654i	−0.566511	+	0.272739i
$913$	2.16776	+	2.16776i	0.0717424	+	0.0717424i
$914$	54.9715	−	17.5193i	1.81830	−	0.579487i
$915$	−1.74227	−	0.132558i	−0.0575977	−	0.00438223i
$916$	15.6641	−	11.1129i	0.517555	−	0.367181i
$917$	−0.101981	+	9.61714i	−0.00336770	+	0.317586i
$918$	−14.2240	+	27.5314i	−0.469462	+	0.908670i
$919$			7.35828i			0.242727i	0.992608	+	0.121364i	$0.0387267\pi$
$919$			7.35828i			0.242727i	−0.992608	+	0.121364i	$0.961273\pi$
$920$	1.23048	−	0.0791404i	0.0405676	−	0.00260918i
$921$	−7.32447			−0.241349
$922$	−16.8602	+	32.6338i	−0.555260	+	1.07474i
$923$	−14.9446	+	14.9446i	−0.491909	+	0.491909i
$924$	25.7950	+	4.66618i	0.848594	+	0.153506i
$925$	18.2689	+	24.8717i	0.600677	+	0.817775i
$926$	−2.35176	−	7.37929i	−0.0772837	−	0.242498i
$927$	−7.64599	+	7.64599i	−0.251127	+	0.251127i
$928$	−9.00364	−	9.52614i	−0.295559	−	0.312711i
$929$	24.0469			0.788954			0.394477	−	0.918906i	$-0.370926\pi$
$929$	24.0469			0.788954			0.394477	+	0.918906i	$0.370926\pi$
$930$	10.8284	+	6.68093i	0.355076	+	0.219076i
$931$	0.778907	−	36.7228i	0.0255276	−	1.20354i
$932$	−25.8869	−	4.39985i	−0.847953	−	0.144122i
$933$	−17.0496	−	17.0496i	−0.558178	−	0.558178i
$934$	−10.4555	+	3.33216i	−0.342116	+	0.109032i
$935$	−4.34248	+	57.0753i	−0.142014	+	1.86656i
$936$	−27.1285	−	20.4199i	−0.886722	−	0.667444i
$937$	26.6571	−	26.6571i	0.870851	−	0.870851i	−0.121714	−	0.992565i	$-0.538839\pi$
$937$	26.6571	−	26.6571i	0.870851	−	0.870851i	0.992565	+	0.121714i	$0.0388391\pi$
$938$	22.1745	−	6.80883i	0.724024	−	0.222316i
$939$	−10.5789			−0.345229
$940$	0.534369	+	0.889232i	0.0174292	+	0.0290035i
$941$	−42.2235			−1.37645			−0.688223	−	0.725499i	$-0.741609\pi$
$941$	−42.2235			−1.37645			−0.688223	+	0.725499i	$0.741609\pi$
$942$	−5.90294	+	11.4255i	−0.192328	+	0.372261i
$943$	−0.589308	−	0.589308i	−0.0191905	−	0.0191905i
$944$	9.62902	+	3.37055i	0.313398	+	0.109702i
$945$	27.6280	+	2.39693i	0.898738	+	0.0779722i
$946$	−5.91450	−	18.5583i	−0.192297	−	0.603384i
$947$	−21.2932	+	21.2932i	−0.691935	+	0.691935i	−0.962657	−	0.270722i	$-0.912737\pi$
$947$	−21.2932	+	21.2932i	−0.691935	+	0.691935i	0.270722	+	0.962657i	$0.412737\pi$
$948$	−4.42383	+	26.0280i	−0.143679	+	0.845349i
$949$	68.0309			2.20838
$950$	−21.8221	+	30.0083i	−0.708004	+	0.973597i
$951$		−	1.66394i		−	0.0539569i
$952$	−27.7242	−	21.3325i	−0.898547	−	0.691391i
$953$	27.1944	−	27.1944i	0.880913	−	0.880913i	−0.112715	−	0.993627i	$-0.535955\pi$
$953$	27.1944	−	27.1944i	0.880913	−	0.880913i	0.993627	+	0.112715i	$0.0359545\pi$
$954$	3.66529	+	11.5008i	0.118668	+	0.372353i
$955$	−18.5371	−	21.5901i	−0.599845	−	0.698638i
$956$	33.6865	−	23.8990i	1.08950	−	0.772949i
$957$	8.11684	+	8.11684i	0.262380	+	0.262380i
$958$	−0.802751	+	1.55377i	−0.0259357	+	0.0502000i
$959$	−2.68209	+	2.62581i	−0.0866093	+	0.0847917i
$960$	15.8459	−	3.28467i	0.511424	−	0.106012i
$961$	11.2184			0.361884
$962$	−42.6722	−	22.0465i	−1.37581	−	0.710807i
$963$	−12.1999	−	12.1999i	−0.393137	−	0.393137i
$964$	12.0664	−	8.56056i	0.388633	−	0.275717i
$965$	29.0078	+	2.20702i	0.933795	+	0.0710464i
$966$	0.309101	−	0.583037i	0.00994515	−	0.0187589i
$967$	26.3198	+	26.3198i	0.846389	+	0.846389i	0.989680	−	0.143292i	$-0.0457687\pi$
$967$	26.3198	+	26.3198i	0.846389	+	0.846389i	−0.143292	+	0.989680i	$0.545769\pi$
$968$	53.1785	−	7.50300i	1.70922	−	0.241156i
$969$	−22.1900			−0.712846
$970$	25.8319	−	41.8681i	0.829414	−	1.34430i
$971$	37.4361			1.20138			0.600690	−	0.799482i	$-0.294892\pi$
$971$	37.4361			1.20138			0.600690	+	0.799482i	$0.294892\pi$
$972$	31.8377	+	5.41128i	1.02120	+	0.173567i
$973$	−52.4698	−	0.556392i	−1.68210	−	0.0178371i
$974$	−42.5947	+	13.5748i	−1.36482	+	0.434966i
$975$	24.6035	+	3.76563i	0.787941	+	0.120597i
$976$	1.14153	−	3.26113i	0.0365394	−	0.104386i
$977$	−38.7496	−	38.7496i	−1.23971	−	1.23971i	−0.960119	−	0.279591i	$-0.909801\pi$
$977$	−38.7496	−	38.7496i	−1.23971	−	1.23971i	−0.279591	−	0.960119i	$-0.590199\pi$
$978$	−10.9968	+	21.2849i	−0.351638	+	0.680615i
$979$			88.7218i			2.83556i
$980$	−8.21417	+	30.2081i	−0.262392	+	0.964961i
$981$		−	11.9376i		−	0.381139i
$982$	2.95656	+	1.52750i	0.0943477	+	0.0487445i
$983$	−16.2282	−	16.2282i	−0.517598	−	0.517598i	0.399246	−	0.916844i	$-0.369272\pi$
$983$	−16.2282	−	16.2282i	−0.517598	−	0.517598i	−0.916844	+	0.399246i	$0.869272\pi$
$984$	−8.73907	−	6.57797i	−0.278591	−	0.209698i
$985$	58.9822	+	4.48757i	1.87933	+	0.142986i
$986$	−4.65143	−	14.5951i	−0.148132	−	0.464803i
$987$	0.555201	+	0.00588738i	0.0176723	+	0.000187397i
$988$	9.67645	−	56.9322i	0.307849	−	1.81125i
$989$	−0.490341			−0.0155920
$990$	36.7618	−	8.70779i	1.16837	−	0.276752i
$991$	32.4471			1.03072			0.515358	−	0.856975i	$-0.327659\pi$
$991$	32.4471			1.03072			0.515358	+	0.856975i	$0.327659\pi$
$992$	−18.2850	+	17.2821i	−0.580549	+	0.548706i
$993$	−0.201416	−	0.201416i	−0.00639174	−	0.00639174i
$994$	12.6970	+	6.73141i	0.402725	+	0.213507i
$995$	−33.3545	−	38.8480i	−1.05741	−	1.23156i
$996$	0.826107	−	0.586084i	0.0261762	−	0.0185708i
$997$	2.65290	+	2.65290i	0.0840182	+	0.0840182i	0.747867	−	0.663849i	$-0.231078\pi$
$997$	2.65290	+	2.65290i	0.0840182	+	0.0840182i	−0.663849	+	0.747867i	$0.731078\pi$
$998$	−2.40965	+	4.66400i	−0.0762760	+	0.147636i
$999$	28.9316			0.915354

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.s.c.237.26	yes	72
4.3	odd	2		1120.2.w.c.657.14		72
5.3	odd	4	inner	280.2.s.c.13.8	yes	72
7.6	odd	2	inner	280.2.s.c.237.25	yes	72
8.3	odd	2		1120.2.w.c.657.23		72
8.5	even	2	inner	280.2.s.c.237.7	yes	72
20.3	even	4		1120.2.w.c.433.13		72
28.27	even	2		1120.2.w.c.657.24		72
35.13	even	4	inner	280.2.s.c.13.7	✓	72
40.3	even	4		1120.2.w.c.433.24		72
40.13	odd	4	inner	280.2.s.c.13.25	yes	72
56.13	odd	2	inner	280.2.s.c.237.8	yes	72
56.27	even	2		1120.2.w.c.657.13		72
140.83	odd	4		1120.2.w.c.433.23		72
280.13	even	4	inner	280.2.s.c.13.26	yes	72
280.83	odd	4		1120.2.w.c.433.14		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.s.c.13.7	✓	72	35.13	even	4	inner
280.2.s.c.13.8	yes	72	5.3	odd	4	inner
280.2.s.c.13.25	yes	72	40.13	odd	4	inner
280.2.s.c.13.26	yes	72	280.13	even	4	inner
280.2.s.c.237.7	yes	72	8.5	even	2	inner
280.2.s.c.237.8	yes	72	56.13	odd	2	inner
280.2.s.c.237.25	yes	72	7.6	odd	2	inner
280.2.s.c.237.26	yes	72	1.1	even	1	trivial
1120.2.w.c.433.13		72	20.3	even	4
1120.2.w.c.433.14		72	280.83	odd	4
1120.2.w.c.433.23		72	140.83	odd	4
1120.2.w.c.433.24		72	40.3	even	4
1120.2.w.c.657.13		72	56.27	even	2
1120.2.w.c.657.14		72	4.3	odd	2
1120.2.w.c.657.23		72	8.3	odd	2
1120.2.w.c.657.24		72	28.27	even	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.s (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.649134 - 1.25643i) q^{2} +(0.639680 - 0.639680i) q^{3} +(-1.15725 - 1.63119i) q^{4} +(1.45663 + 1.69653i) q^{5} +(-0.388478 - 1.21895i) q^{6} +(0.0280541 - 2.64560i) q^{7} +(-2.80069 + 0.395151i) q^{8} +2.18162i q^{9} +O(q^{10})\)	\(q+(0.649134 - 1.25643i) q^{2} +(0.639680 - 0.639680i) q^{3} +(-1.15725 - 1.63119i) q^{4} +(1.45663 + 1.69653i) q^{5} +(-0.388478 - 1.21895i) q^{6} +(0.0280541 - 2.64560i) q^{7} +(-2.80069 + 0.395151i) q^{8} +2.18162i q^{9} +(3.07713 - 0.728882i) q^{10} -5.47610i q^{11} +(-1.78371 - 0.303167i) q^{12} +(3.89100 - 3.89100i) q^{13} +(-3.30581 - 1.75260i) q^{14} +(2.01702 + 0.153462i) q^{15} +(-1.32154 + 3.77539i) q^{16} +(-3.30545 + 3.30545i) q^{17} +(2.74106 + 1.41616i) q^{18} +5.24729i q^{19} +(1.08168 - 4.33935i) q^{20} +(-1.67439 - 1.71028i) q^{21} +(-6.88036 - 3.55472i) q^{22} +(-0.137856 + 0.137856i) q^{23} +(-1.53877 + 2.04431i) q^{24} +(-0.756456 + 4.94245i) q^{25} +(-2.36301 - 7.41457i) q^{26} +(3.31458 + 3.31458i) q^{27} +(-4.34794 + 3.01587i) q^{28} -2.31714 q^{29} +(1.50213 - 2.43463i) q^{30} +4.44765i q^{31} +(3.88566 + 4.11116i) q^{32} +(-3.50295 - 3.50295i) q^{33} +(2.00740 + 6.29875i) q^{34} +(4.52922 - 3.80607i) q^{35} +(3.55863 - 2.52468i) q^{36} +(4.36429 - 4.36429i) q^{37} +(6.59287 + 3.40619i) q^{38} -4.97799i q^{39} +(-4.74996 - 4.17587i) q^{40} +4.27482i q^{41} +(-3.23576 + 0.993561i) q^{42} +(1.77846 + 1.77846i) q^{43} +(-8.93254 + 6.33722i) q^{44} +(-3.70119 + 3.17781i) q^{45} +(0.0837199 + 0.262694i) q^{46} +(-0.164034 + 0.164034i) q^{47} +(1.56968 + 3.26040i) q^{48} +(-6.99843 - 0.148440i) q^{49} +(5.71881 + 4.15874i) q^{50} +4.22885i q^{51} +(-10.8498 - 1.84409i) q^{52} +(2.76647 + 2.76647i) q^{53} +(6.31615 - 2.01294i) q^{54} +(9.29039 - 7.97665i) q^{55} +(0.966842 + 7.42059i) q^{56} +(3.35658 + 3.35658i) q^{57} +(-1.50414 + 2.91134i) q^{58} -2.55047i q^{59} +(-2.08387 - 3.46772i) q^{60} -0.863786 q^{61} +(5.58818 + 2.88712i) q^{62} +(5.77170 + 0.0612033i) q^{63} +(7.68771 - 2.21339i) q^{64} +(12.2690 + 0.933466i) q^{65} +(-6.67511 + 2.12734i) q^{66} +(-4.38370 + 4.38370i) q^{67} +(9.21703 + 1.56657i) q^{68} +0.176367i q^{69} +(-1.84201 - 8.16131i) q^{70} -3.84082 q^{71} +(-0.862069 - 6.11004i) q^{72} +(8.74208 + 8.74208i) q^{73} +(-2.65043 - 8.31645i) q^{74} +(2.67769 + 3.64547i) q^{75} +(8.55931 - 6.07243i) q^{76} +(-14.4876 - 0.153627i) q^{77} +(-6.25452 - 3.23138i) q^{78} -14.5921i q^{79} +(-8.33006 + 3.25730i) q^{80} -2.30432 q^{81} +(5.37102 + 2.77493i) q^{82} +(-0.395859 + 0.395859i) q^{83} +(-0.852100 + 4.71048i) q^{84} +(-10.4226 - 0.792989i) q^{85} +(3.38897 - 1.08006i) q^{86} +(-1.48223 + 1.48223i) q^{87} +(2.16389 + 15.3368i) q^{88} -16.2016 q^{89} +(1.59014 + 6.71313i) q^{90} +(-10.1849 - 10.4032i) q^{91} +(0.384402 + 0.0653348i) q^{92} +(2.84507 + 2.84507i) q^{93} +(0.0996177 + 0.312577i) q^{94} +(-8.90221 + 7.64336i) q^{95} +(5.11540 + 0.144242i) q^{96} +(11.0005 - 11.0005i) q^{97} +(-4.72942 + 8.69670i) q^{98} +11.9468 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8}+O(q^{10}) \) 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8	\( 72 q - 4 q^{2} - 4 q^{7} - 16 q^{8} - 8 q^{15} + 40 q^{16} - 40 q^{18} + 4 q^{22} + 40 q^{23} - 8 q^{25} - 4 q^{28} - 44 q^{30} - 24 q^{32} - 72 q^{36} + 40 q^{42} + 16 q^{46} - 60 q^{50} + 32 q^{56} + 32 q^{57} - 68 q^{58} + 64 q^{60} - 100 q^{63} - 56 q^{65} + 16 q^{70} - 80 q^{71} + 16 q^{72} - 4 q^{78} + 72 q^{81} - 72 q^{86} + 48 q^{88} + 72 q^{92} + 80 q^{95} + 40 q^{98}+O(q^{100}) \) 72 * q - 4 * q^2 - 4 * q^7 - 16 * q^8 - 8 * q^15 + 40 * q^16 - 40 * q^18 + 4 * q^22 + 40 * q^23 - 8 * q^25 - 4 * q^28 - 44 * q^30 - 24 * q^32 - 72 * q^36 + 40 * q^42 + 16 * q^46 - 60 * q^50 + 32 * q^56 + 32 * q^57 - 68 * q^58 + 64 * q^60 - 100 * q^63 - 56 * q^65 + 16 * q^70 - 80 * q^71 + 16 * q^72 - 4 * q^78 + 72 * q^81 - 72 * q^86 + 48 * q^88 + 72 * q^92 + 80 * q^95 + 40 * q^98

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