LMFDB - Embedded newform 280.2.s.c.13.7

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			13.7
Character	$\chi$	$=$	280.13
Dual form			280.2.s.c.237.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.25643 - 0.649134i) q^{2} +(-0.639680 - 0.639680i) q^{3} +(1.15725 + 1.63119i) q^{4} +(-1.45663 + 1.69653i) q^{5} +(0.388478 + 1.21895i) q^{6} +(0.0280541 + 2.64560i) q^{7} +(-0.395151 - 2.80069i) q^{8} -2.18162i q^{9} +O(q^{10})$	\(q+(-1.25643 - 0.649134i) 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} +(-0.395151 - 2.80069i) q^{8} -2.18162i q^{9} +(2.93144 - 1.18603i) q^{10} -5.47610i q^{11} +(0.303167 - 1.78371i) q^{12} +(-3.89100 - 3.89100i) q^{13} +(1.68210 - 3.34223i) q^{14} +(2.01702 - 0.153462i) q^{15} +(-1.32154 + 3.77539i) q^{16} +(-3.30545 - 3.30545i) q^{17} +(-1.41616 + 2.74106i) q^{18} +5.24729i q^{19} +(-4.45305 - 0.412720i) q^{20} +(1.67439 - 1.71028i) q^{21} +(-3.55472 + 6.88036i) 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} +(-4.28301 + 3.10739i) q^{28} +2.31714 q^{29} +(-2.63386 - 1.11650i) q^{30} -4.44765i q^{31} +(4.11116 - 3.88566i) 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} +(3.40619 - 6.59287i) q^{38} +4.97799i q^{39} +(5.32705 + 3.40918i) q^{40} -4.27482i q^{41} +(-3.21397 + 1.06195i) 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} +(3.26040 - 1.56968i) q^{48} +(-6.99843 + 0.148440i) q^{49} +(-2.25787 + 6.70090i) q^{50} +4.22885i q^{51} +(1.84409 - 10.8498i) q^{52} +(-2.76647 + 2.76647i) q^{53} +(6.31615 - 2.01294i) q^{54} +(9.29039 + 7.97665i) q^{55} +(7.39842 - 1.12398i) q^{56} +(3.35658 - 3.35658i) q^{57} +(-2.91134 - 1.50414i) q^{58} -2.55047i q^{59} +(2.58452 + 3.11254i) q^{60} +0.863786 q^{61} +(-2.88712 + 5.58818i) 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} +(1.56657 - 9.21703i) q^{68} +0.176367i q^{69} +(3.22002 + 7.72214i) q^{70} -3.84082 q^{71} +(-6.11004 + 0.862069i) 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} +(3.23138 - 6.25452i) q^{78} +14.5921i q^{79} +(-4.48007 - 7.74138i) q^{80} -2.30432 q^{81} +(-2.77493 + 5.37102i) q^{82} +(0.395859 + 0.395859i) q^{83} +(4.72749 + 0.752019i) q^{84} +(10.4226 - 0.792989i) q^{85} +(3.38897 - 1.08006i) q^{86} +(-1.48223 - 1.48223i) q^{87} +(-15.3368 + 2.16389i) q^{88} -16.2016 q^{89} +(-2.58748 - 6.39528i) q^{90} +(10.1849 - 10.4032i) q^{91} +(0.0653348 - 0.384402i) 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} +(8.88942 + 4.35641i) 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 $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$-1$

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 $

$2$	−1.25643	−	0.649134i	−0.888433	−	0.459007i
$2$	−1.25643	−	0.649134i	−0.888433	−	0.459007i
$3$	−0.639680	−	0.639680i	−0.369319	−	0.369319i	0.497910	−	0.867229i	$-0.334101\pi$
$3$	−0.639680	−	0.639680i	−0.369319	−	0.369319i	−0.867229	+	0.497910i	$0.834101\pi$
$4$	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
$8$	−0.395151	−	2.80069i	−0.139707	−	0.990193i
$9$		−	2.18162i		−	0.727207i
$10$	2.93144	−	1.18603i	0.927002	−	0.375057i
$11$		−	5.47610i		−	1.65111i	−0.564324	−	0.825553i	$-0.690863\pi$
$11$		−	5.47610i		−	1.65111i	0.564324	−	0.825553i	$-0.309137\pi$
$12$	0.303167	−	1.78371i	0.0875168	−	0.514912i
$13$	−3.89100	−	3.89100i	−1.07917	−	1.07917i	−0.996584	−	0.0825863i	$-0.973682\pi$
$13$	−3.89100	−	3.89100i	−1.07917	−	1.07917i	−0.0825863	−	0.996584i	$-0.526318\pi$
$14$	1.68210	−	3.34223i	0.449561	−	0.893250i
$15$	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	0.181671	−	0.983359i	$-0.441849\pi$
$17$	−3.30545	−	3.30545i	−0.801688	−	0.801688i	−0.983359	+	0.181671i	$0.941849\pi$
$18$	−1.41616	+	2.74106i	−0.333793	+	0.646074i
$19$			5.24729i			1.20381i	0.798567	+	0.601905i	$0.205592\pi$
$19$			5.24729i			1.20381i	−0.798567	+	0.601905i	$0.794408\pi$
$20$	−4.45305	−	0.412720i	−0.995732	−	0.0922870i
$21$	1.67439	−	1.71028i	0.365382	−	0.373215i
$22$	−3.55472	+	6.88036i	−0.757869	+	1.46690i
$23$	−0.137856	−	0.137856i	−0.0287449	−	0.0287449i	0.692588	−	0.721333i	$-0.256470\pi$
$23$	−0.137856	−	0.137856i	−0.0287449	−	0.0287449i	−0.721333	+	0.692588i	$0.756470\pi$
$24$	−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
$28$	−4.28301	+	3.10739i	−0.809412	+	0.587241i
$29$	2.31714			0.430283			0.215141	−	0.976583i	$-0.430979\pi$
$29$	2.31714			0.430283			0.215141	+	0.976583i	$0.430979\pi$
$30$	−2.63386	−	1.11650i	−0.480875	−	0.203844i
$31$		−	4.44765i		−	0.798821i	−0.916772	−	0.399411i	$-0.869215\pi$
$31$		−	4.44765i		−	0.798821i	0.916772	−	0.399411i	$-0.130785\pi$
$32$	4.11116	−	3.88566i	0.726757	−	0.686895i
$33$	−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	$-0.419371\pi$
$37$	−4.36429	−	4.36429i	−0.717485	−	0.717485i	−0.968090	+	0.250604i	$0.919371\pi$
$38$	3.40619	−	6.59287i	0.552557	−	1.06950i
$39$			4.97799i			0.797117i
$40$	5.32705	+	3.40918i	0.842281	+	0.539039i
$41$		−	4.27482i		−	0.667614i	−0.942641	−	0.333807i	$-0.891667\pi$
$41$		−	4.27482i		−	0.667614i	0.942641	−	0.333807i	$-0.108333\pi$
$42$	−3.21397	+	1.06195i	−0.495926	+	0.163863i
$43$	−1.77846	+	1.77846i	−0.271212	+	0.271212i	−0.829588	−	0.558376i	$-0.811425\pi$
$43$	−1.77846	+	1.77846i	−0.271212	+	0.271212i	0.558376	+	0.829588i	$0.311425\pi$
$44$	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	0.695042	−	0.718969i	$-0.255386\pi$
$47$	−0.164034	−	0.164034i	−0.0239268	−	0.0239268i	−0.718969	+	0.695042i	$0.755386\pi$
$48$	3.26040	−	1.56968i	0.470598	−	0.226563i
$49$	−6.99843	+	0.148440i	−0.999775	+	0.0212057i
$50$	−2.25787	+	6.70090i	−0.319311	+	0.947650i
$51$			4.22885i			0.592158i
$52$	1.84409	−	10.8498i	0.255729	−	1.50460i
$53$	−2.76647	+	2.76647i	−0.380004	+	0.380004i	−0.871103	−	0.491100i	$-0.836595\pi$
$53$	−2.76647	+	2.76647i	−0.380004	+	0.380004i	0.491100	+	0.871103i	$0.336595\pi$
$54$	6.31615	−	2.01294i	0.859519	−	0.273927i
$55$	9.29039	+	7.97665i	1.25272	+	1.07557i
$56$	7.39842	−	1.12398i	0.988656	−	0.150199i
$57$	3.35658	−	3.35658i	0.444591	−	0.444591i
$58$	−2.91134	−	1.50414i	−0.382277	−	0.197503i
$59$		−	2.55047i		−	0.332043i	−0.986122	−	0.166022i	$-0.946908\pi$
$59$		−	2.55047i		−	0.332043i	0.986122	−	0.166022i	$-0.0530922\pi$
$60$	2.58452	+	3.11254i	0.333660	+	0.401827i
$61$	0.863786			0.110597			0.0552983	−	0.998470i	$-0.482389\pi$
$61$	0.863786			0.110597			0.0552983	+	0.998470i	$0.482389\pi$
$62$	−2.88712	+	5.58818i	−0.366664	+	0.709699i
$63$	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	$-0.126373\pi$
$67$	4.38370	+	4.38370i	0.535554	+	0.535554i	−0.386666	+	0.922220i	$0.626373\pi$
$68$	1.56657	−	9.21703i	0.189974	−	1.11773i
$69$			0.176367i			0.0212321i
$70$	3.22002	+	7.72214i	0.384865	+	0.922973i
$71$	−3.84082			−0.455821			−0.227911	−	0.973682i	$-0.573189\pi$
$71$	−3.84082			−0.455821			−0.227911	+	0.973682i	$0.573189\pi$
$72$	−6.11004	+	0.862069i	−0.720075	+	0.101596i
$73$	8.74208	−	8.74208i	1.02318	−	1.02318i	0.0234585	−	0.999725i	$-0.492532\pi$
$73$	8.74208	−	8.74208i	1.02318	−	1.02318i	0.999725	−	0.0234585i	$-0.00746777\pi$
$74$	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
$78$	3.23138	−	6.25452i	0.365882	−	0.708185i
$79$			14.5921i			1.64173i	0.571119	+	0.820867i	$0.306510\pi$
$79$			14.5921i			1.64173i	−0.571119	+	0.820867i	$0.693490\pi$
$80$	−4.48007	−	7.74138i	−0.500888	−	0.865512i
$81$	−2.30432			−0.256036
$82$	−2.77493	+	5.37102i	−0.306439	+	0.593130i
$83$	0.395859	+	0.395859i	0.0434511	+	0.0434511i	0.728499	−	0.685047i	$-0.240219\pi$
$83$	0.395859	+	0.395859i	0.0434511	+	0.0434511i	−0.685047	+	0.728499i	$0.740219\pi$
$84$	4.72749	+	0.752019i	0.515811	+	0.0820520i
$85$	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
$88$	−15.3368	+	2.16389i	−1.63491	+	0.230671i
$89$	−16.2016			−1.71737			−0.858685	−	0.512504i	$-0.828718\pi$
$89$	−16.2016			−1.71737			−0.858685	+	0.512504i	$0.828718\pi$
$90$	−2.58748	−	6.39528i	−0.272744	−	0.674122i
$91$	10.1849	−	10.4032i	1.06767	−	1.09055i
$92$	0.0653348	−	0.384402i	0.00681162	−	0.0400767i
$93$	−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	0.992189	+	0.124744i	$0.0398111\pi$
$97$	11.0005	+	11.0005i	1.11693	+	1.11693i	0.124744	+	0.992189i	$0.460189\pi$
$98$	8.88942	+	4.35641i	0.897967	+	0.440064i
$99$	−11.9468			−1.20070
$100$	7.18664	−	6.95357i	0.718664	−	0.695357i
$101$	−1.58490			−0.157703			−0.0788517	−	0.996886i	$-0.525125\pi$
$101$	−1.58490			−0.157703			−0.0788517	+	0.996886i	$0.525125\pi$
$102$	2.74509	−	5.31327i	0.271804	−	0.526092i
$103$	3.50473	−	3.50473i	0.345332	−	0.345332i	−0.513036	−	0.858367i	$-0.671479\pi$
$103$	3.50473	−	3.50473i	0.345332	−	0.345332i	0.858367	+	0.513036i	$0.171479\pi$
$104$	−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	$-0.125142\pi$
$107$	5.59213	+	5.59213i	0.540612	+	0.540612i	−0.383096	+	0.923708i	$0.625142\pi$
$108$	−9.24249	−	1.57090i	−0.889359	−	0.151160i
$109$	5.47192			0.524114			0.262057	−	0.965052i	$-0.415599\pi$
$109$	5.47192			0.524114			0.262057	+	0.965052i	$0.415599\pi$
$110$	−6.49485	−	16.0528i	−0.619259	−	1.53058i
$111$			5.58350i			0.529962i
$112$	−10.0252	−	3.39035i	−0.947296	−	0.320358i
$113$	−4.54980	−	4.54980i	−0.428009	−	0.428009i	0.459941	−	0.887950i	$-0.347871\pi$
$113$	−4.54980	−	4.54980i	−0.428009	−	0.428009i	−0.887950	+	0.459941i	$0.847871\pi$
$114$	−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
$118$	−1.65560	+	3.20450i	−0.152410	+	0.294998i
$119$	8.65216	−	8.83763i	0.793143	−	0.810144i
$120$	−1.22682	−	5.58839i	−0.111993	−	0.510148i
$121$	−18.9877			−1.72615
$122$	−1.08529	−	0.560713i	−0.0982576	−	0.0507645i
$123$	−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
$126$	−7.29149	−	3.66971i	−0.649577	−	0.326923i
$127$	−4.42528	+	4.42528i	−0.392680	+	0.392680i	−0.875642	−	0.482961i	$-0.839561\pi$
$127$	−4.42528	+	4.42528i	−0.392680	+	0.392680i	0.482961	+	0.875642i	$0.339561\pi$
$128$	11.0959	+	2.20937i	0.980747	+	0.195283i
$129$	2.27529			0.200328
$130$	−16.0211	−	6.79137i	−1.40514	−	0.595642i
$131$	3.63514			0.317604			0.158802	−	0.987310i	$-0.449237\pi$
$131$	3.63514			0.317604			0.158802	+	0.987310i	$0.449237\pi$
$132$	−9.76776	−	1.66017i	−0.850174	−	0.144499i
$133$	−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	−0.748660	−	0.662954i	$-0.769302\pi$
$137$	−1.00315	+	1.00315i	−0.0857053	+	0.0857053i	0.662954	+	0.748660i	$0.269302\pi$
$138$	0.114486	−	0.221594i	0.00974568	−	0.0188633i
$139$		−	19.8328i		−	1.68220i	−0.540881	−	0.841099i	$-0.681909\pi$
$139$		−	19.8328i		−	1.68220i	0.540881	−	0.841099i	$-0.318091\pi$
$140$	0.966967	−	11.7926i	0.0817236	−	0.996655i
$141$			0.209858i			0.0176732i
$142$	4.82573	+	2.49320i	0.404967	+	0.209225i
$143$	−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
$148$	2.06839	−	12.1696i	0.170021	−	1.00033i
$149$	0.939523			0.0769688			0.0384844	−	0.999259i	$-0.487747\pi$
$149$	0.939523			0.0769688			0.0384844	+	0.999259i	$0.487747\pi$
$150$	5.73074	−	2.84211i	0.467913	−	0.232058i
$151$	12.6332			1.02808			0.514038	−	0.857767i	$-0.328149\pi$
$151$	12.6332			1.02808			0.514038	+	0.857767i	$0.328149\pi$
$152$	14.6960	−	2.07347i	1.19200	−	0.168181i
$153$	−7.21122	+	7.21122i	−0.582993	+	0.582993i
$154$	−18.3024	−	9.21136i	−1.47485	−	0.742272i
$155$	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	$-0.618620\pi$
$157$	7.10790	−	7.10790i	0.567272	−	0.567272i	0.931363	+	0.364091i	$0.118620\pi$
$158$	9.47220	−	18.3340i	0.753567	−	1.45857i
$159$	3.53931			0.280685
$160$	0.603728	+	12.6347i	0.0477289	+	0.998860i
$161$	0.360844	−	0.368579i	0.0284385	−	0.0290481i
$162$	2.89523	+	1.49581i	0.227471	+	0.117522i
$163$	13.2416	−	13.2416i	1.03716	−	1.03716i	0.0378761	−	0.999282i	$-0.487941\pi$
$163$	13.2416	−	13.2416i	1.03716	−	1.03716i	0.999282	−	0.0378761i	$-0.0120592\pi$
$164$	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	0.433445	−	0.901180i	$-0.357298\pi$
$167$	−6.04447	−	6.04447i	−0.467735	−	0.467735i	−0.901180	+	0.433445i	$0.857298\pi$
$168$	−5.45161	−	4.01363i	−0.420601	−	0.309658i
$169$			17.2798i			1.32922i
$170$	−13.6101	−	5.76933i	−1.04385	−	0.442487i
$171$	11.4476			0.875419
$172$	−4.95912	−	0.842874i	−0.378129	−	0.0642686i
$173$	−0.0558513	−	0.0558513i	−0.00424629	−	0.00424629i	0.704980	−	0.709227i	$-0.250956\pi$
$173$	−0.0558513	−	0.0558513i	−0.00424629	−	0.00424629i	−0.709227	+	0.704980i	$0.750956\pi$
$174$	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
$178$	20.3563	+	10.5170i	1.52577	+	0.788284i
$179$	3.17937			0.237638			0.118819	−	0.992916i	$-0.462089\pi$
$179$	3.17937			0.237638			0.118819	+	0.992916i	$0.462089\pi$
$180$	−0.900398	+	9.71486i	−0.0671117	+	0.724103i
$181$	−11.3181			−0.841264			−0.420632	−	0.907231i	$-0.638192\pi$
$181$	−11.3181			−0.841264			−0.420632	+	0.907231i	$0.638192\pi$
$182$	−19.5497	+	6.45959i	−1.44912	+	0.478816i
$183$	−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
$188$	0.0777415	−	0.457398i	0.00566988	−	0.0333592i
$189$	−8.86204	−	8.67607i	−0.644619	−	0.631091i
$190$	6.22347	+	15.3821i	0.451498	+	1.11593i
$191$	−12.7260			−0.920820			−0.460410	−	0.887706i	$-0.652298\pi$
$191$	−12.7260			−0.920820			−0.460410	+	0.887706i	$0.652298\pi$
$192$	6.33353	+	3.50181i	0.457083	+	0.252722i
$193$	9.19959	+	9.19959i	0.662201	+	0.662201i	0.955898	−	0.293697i	$-0.0948858\pi$
$193$	9.19959	+	9.19959i	0.662201	+	0.662201i	−0.293697	+	0.955898i	$0.594886\pi$
$194$	−6.68062	−	20.9622i	−0.479640	−	1.50500i
$195$	−8.44533	−	7.25109i	−0.604783	−	0.519262i
$196$	−8.34107	−	11.2440i	−0.595791	−	0.803140i
$197$	−18.7057	−	18.7057i	−1.33273	−	1.33273i	−0.902921	−	0.429807i	$-0.858582\pi$
$197$	−18.7057	−	18.7057i	−1.33273	−	1.33273i	−0.429807	−	0.902921i	$-0.641418\pi$
$198$	15.0103	+	7.75505i	1.06674	+	0.551127i
$199$	−22.8984			−1.62323			−0.811613	−	0.584195i	$-0.801410\pi$
$199$	−22.8984			−1.62323			−0.811613	+	0.584195i	$0.801410\pi$
$200$	−13.5433	+	4.07161i	−0.957659	+	0.287906i
$201$		−	5.60832i		−	0.395581i
$202$	1.99132	+	1.02881i	0.140109	+	0.0723869i
$203$	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
$208$	19.8322	−	9.54792i	1.37511	−	0.662029i
$209$	28.7347			1.98762
$210$	2.87992	−	6.99948i	0.198733	−	0.483010i
$211$		−	2.21392i		−	0.152413i	−0.997092	−	0.0762063i	$-0.975719\pi$
$211$		−	2.21392i		−	0.152413i	0.997092	−	0.0762063i	$-0.0242808\pi$
$212$	−7.71412	−	1.31113i	−0.529808	−	0.0900486i
$213$	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
$218$	−6.87510	−	3.55200i	−0.465640	−	0.240572i
$219$	−11.1843			−0.755763
$220$	−2.26010	+	24.3854i	−0.152376	+	1.64406i
$221$			25.7230i			1.73032i
$222$	3.62444	−	7.01529i	0.243256	−	0.470836i
$223$	3.10616	−	3.10616i	0.208004	−	0.208004i	−0.595415	−	0.803418i	$-0.703012\pi$
$223$	3.10616	−	3.10616i	0.208004	−	0.208004i	0.803418	+	0.595415i	$0.203012\pi$
$224$	10.3953	+	10.7675i	0.694563	+	0.719432i
$225$	−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	$-0.841353\pi$
$227$	−6.03144	+	6.03144i	−0.400321	+	0.400321i	0.478025	+	0.878346i	$0.341353\pi$
$228$	9.35963	+	1.59080i	0.619857	+	0.105354i
$229$			9.60286i			0.634575i	0.948329	+	0.317287i	$0.102772\pi$
$229$			9.60286i			0.634575i	−0.948329	+	0.317287i	$0.897228\pi$
$230$	−0.567617	−	0.240614i	−0.0374276	−	0.0158656i
$231$	−9.36569	−	9.16914i	−0.616217	−	0.603285i
$232$	−0.915622	−	6.48960i	−0.0601135	−	0.426063i
$233$	9.28365	+	9.28365i	0.608192	+	0.608192i	0.942473	−	0.334281i	$-0.108494\pi$
$233$	9.28365	+	9.28365i	0.608192	+	0.608192i	−0.334281	+	0.942473i	$0.608494\pi$
$234$	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
$238$	−16.6077	+	5.48748i	−1.07652	+	0.355701i
$239$		−	20.6515i		−	1.33584i	−0.744235	−	0.667918i	$-0.767186\pi$
$239$		−	20.6515i		−	1.33584i	0.744235	−	0.667918i	$-0.232814\pi$
$240$	−2.08619	+	7.81782i	−0.134663	+	0.504638i
$241$		−	7.39732i		−	0.476503i	−0.971203	−	0.238252i	$-0.923426\pi$
$241$		−	7.39732i		−	0.476503i	0.971203	−	0.238252i	$-0.0765743\pi$
$242$	23.8567	+	12.3255i	1.53357	+	0.792315i
$243$	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
$248$	−12.4565	+	1.75749i	−0.790987	+	0.111601i
$249$		−	0.506445i		−	0.0320947i
$250$	−8.07942	−	13.5913i	−0.510987	−	0.859588i
$251$	7.90586			0.499014			0.249507	−	0.968373i	$-0.419732\pi$
$251$	7.90586			0.499014			0.249507	+	0.968373i	$0.419732\pi$
$252$	6.77914	+	9.34389i	0.427046	+	0.588610i
$253$	−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	0.294767	−	0.955569i	$-0.404758\pi$
$257$	−10.5935	−	10.5935i	−0.660802	−	0.660802i	−0.955569	+	0.294767i	$0.904758\pi$
$258$	−2.85875	−	1.47696i	−0.177978	−	0.0919518i
$259$	11.4237	−	11.6686i	0.709837	−	0.725053i
$260$	15.7209	+	18.9327i	0.974971	+	1.17416i
$261$		−	5.05512i		−	0.312904i
$262$	−4.56732	−	2.35969i	−0.282170	−	0.145782i
$263$	11.3061	+	11.3061i	0.697161	+	0.697161i	0.963797	−	0.266636i	$-0.0859121\pi$
$263$	11.3061	+	11.3061i	0.697161	+	0.697161i	−0.266636	+	0.963797i	$0.585912\pi$
$264$	11.1949	+	8.42648i	0.688996	+	0.518614i
$265$	−0.663686	−	8.72313i	−0.0407699	−	0.535857i
$266$	17.5377	+	8.82647i	1.07530	+	0.541186i
$267$	10.3639	+	10.3639i	0.634258	+	0.634258i
$268$	−2.07759	+	12.2237i	−0.126909	+	0.746679i
$269$			23.9923i			1.46284i	0.681928	+	0.731419i	$0.261142\pi$
$269$			23.9923i			1.46284i	−0.681928	+	0.731419i	$0.738858\pi$
$270$	−5.78527	+	13.6477i	−0.352080	+	0.830571i
$271$		−	24.7274i		−	1.50208i	−0.660254	−	0.751042i	$-0.729551\pi$
$271$		−	24.7274i		−	1.50208i	0.660254	−	0.751042i	$-0.270449\pi$
$272$	16.8476	−	8.11105i	1.02154	−	0.491805i
$273$	−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	$-0.407276\pi$
$277$	−11.1622	−	11.1622i	−0.670674	−	0.670674i	−0.957871	+	0.287197i	$0.907276\pi$
$278$	−12.8742	+	24.9186i	−0.772141	+	1.49452i
$279$	−9.70308			−0.580908
$280$	−8.86989	+	14.1889i	−0.530077	+	0.847949i
$281$	16.6748			0.994736			0.497368	−	0.867540i	$-0.334300\pi$
$281$	16.6748			0.994736			0.497368	+	0.867540i	$0.334300\pi$
$282$	0.136226	−	0.263673i	0.00811214	−	0.0157015i
$283$	−10.2960	−	10.2960i	−0.612036	−	0.612036i	0.331440	−	0.943476i	$-0.392465\pi$
$283$	−10.2960	−	10.2960i	−0.612036	−	0.612036i	−0.943476	+	0.331440i	$0.892465\pi$
$284$	−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
$288$	−8.47704	−	8.96898i	−0.499515	−	0.528502i
$289$			4.85194i			0.285408i
$290$	6.79256	−	2.74821i	0.398873	−	0.161381i
$291$		−	14.0736i		−	0.825010i
$292$	24.3768	+	4.14318i	1.42654	+	0.242461i
$293$	−2.08720	−	2.08720i	−0.121936	−	0.121936i	0.643506	−	0.765441i	$-0.277479\pi$
$293$	−2.08720	−	2.08720i	−0.121936	−	0.121936i	−0.765441	+	0.643506i	$0.777479\pi$
$294$	−2.89967	−	8.47309i	−0.169112	−	0.494160i
$295$	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
$298$	−1.18045	−	0.609876i	−0.0683816	−	0.0353292i
$299$			1.07280i			0.0620413i
$300$	−9.04521	−	0.149091i	−0.522225	−	0.00860776i
$301$	−4.75498	−	4.65520i	−0.274073	−	0.268321i
$302$	−15.8728	−	8.20064i	−0.913376	−	0.471894i
$303$	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	$-0.675785\pi$
$307$	5.72510	−	5.72510i	0.326749	−	0.326749i	0.851349	+	0.524600i	$0.175785\pi$
$308$	17.0164	+	23.4542i	0.969597	+	1.33643i
$309$	−4.48381			−0.255075
$310$	−5.27507	−	13.0380i	−0.299604	−	0.740509i
$311$			26.6533i			1.51137i	0.654935	+	0.755685i	$0.272696\pi$
$311$			26.6533i			1.51137i	−0.654935	+	0.755685i	$0.727304\pi$
$312$	13.9418	−	1.96706i	0.789299	−	0.111363i
$313$	−8.26889	+	8.26889i	−0.467385	+	0.467385i	−0.901066	−	0.433681i	$-0.857214\pi$
$313$	−8.26889	+	8.26889i	−0.467385	+	0.467385i	0.433681	+	0.901066i	$0.357214\pi$
$314$	−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	$-0.266449\pi$
$317$	−1.30060	−	1.30060i	−0.0730492	−	0.0730492i	−0.742687	+	0.669638i	$0.766449\pi$
$318$	−4.44690	−	2.29748i	−0.249370	−	0.128836i
$319$		−	12.6889i		−	0.710442i
$320$	7.44306	−	16.2666i	0.416080	−	0.909328i
$321$		−	7.15435i		−	0.399317i
$322$	−0.692634	+	0.228859i	−0.0385990	+	0.0127538i
$323$	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
$328$	−11.9724	+	1.68920i	−0.661067	+	0.0932704i
$329$	0.429366	−	0.438570i	0.0236717	−	0.0241792i
$330$	−6.11406	+	14.4233i	−0.336568	+	0.793976i
$331$		−	0.314870i		−	0.0173068i	−0.999963	−	0.00865340i	$-0.997246\pi$
$331$		−	0.314870i		−	0.0173068i	0.999963	−	0.00865340i	$-0.00275450\pi$
$332$	−0.187611	+	1.10383i	−0.0102965	+	0.0605804i
$333$	−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
$336$	4.24420	+	8.58169i	0.231540	+	0.468169i
$337$	−1.47424	+	1.47424i	−0.0803068	+	0.0803068i	−0.746119	−	0.665812i	$-0.768085\pi$
$337$	−1.47424	+	1.47424i	−0.0803068	+	0.0803068i	0.665812	+	0.746119i	$0.268085\pi$
$338$	11.2169	−	21.7109i	0.610119	−	1.18092i
$339$			5.82083i			0.316144i
$340$	13.3551	+	16.0835i	0.724282	+	0.872252i
$341$	−24.3558			−1.31894
$342$	−14.3831	−	7.43102i	−0.777751	−	0.401823i
$343$	−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	$-0.400194\pi$
$347$	−11.9742	−	11.9742i	−0.642809	−	0.642809i	−0.951245	+	0.308436i	$0.900194\pi$
$348$	0.702481	−	4.13310i	0.0376569	−	0.221558i
$349$		−	15.7075i		−	0.840802i	−0.907338	−	0.420401i	$-0.861889\pi$
$349$		−	15.7075i		−	0.840802i	0.907338	−	0.420401i	$-0.138111\pi$
$350$	−17.7913	−	5.78544i	−0.950982	−	0.309245i
$351$	25.7941			1.37679
$352$	−21.2783	−	22.5131i	−1.13414	−	1.19995i
$353$	16.0641	−	16.0641i	0.855003	−	0.855003i	−0.135741	−	0.990744i	$-0.543342\pi$
$353$	16.0641	−	16.0641i	0.855003	−	0.855003i	0.990744	+	0.135741i	$0.0433415\pi$
$354$	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
$358$	−3.99467	−	2.06384i	−0.211125	−	0.109077i
$359$		−	3.48516i		−	0.183940i	−0.995762	−	0.0919698i	$-0.970684\pi$
$359$		−	3.48516i		−	0.183940i	0.995762	−	0.0919698i	$-0.0293163\pi$
$360$	7.43754	−	11.6216i	0.391993	−	0.612512i
$361$	−8.53405			−0.449160
$362$	14.2204	+	7.34693i	0.747407	+	0.386146i
$363$	12.1460	+	12.1460i	0.637501	+	0.637501i
$364$	28.7560	+	4.57433i	1.50723	+	0.239760i
$365$	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	0.537275	−	0.843407i	$-0.319454\pi$
$367$	−5.86463	−	5.86463i	−0.306131	−	0.306131i	−0.843407	+	0.537275i	$0.819454\pi$
$368$	0.702641	−	0.338277i	0.0366277	−	0.0176339i
$369$	−9.32602			−0.485493
$370$	−17.9698	−	7.61744i	−0.934208	−	0.396012i
$371$	−7.39658	−	7.24136i	−0.384011	−	0.375953i
$372$	−7.93330	−	1.34838i	−0.411323	−	0.0699103i
$373$	15.5770	−	15.5770i	0.806547	−	0.806547i	−0.177563	−	0.984109i	$-0.556821\pi$
$373$	15.5770	−	15.5770i	0.806547	−	0.806547i	0.984109	+	0.177563i	$0.0568213\pi$
$374$	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
$378$	5.50264	+	16.6536i	0.283025	+	0.856566i
$379$	−20.3152			−1.04352			−0.521761	−	0.853092i	$-0.674725\pi$
$379$	−20.3152			−1.04352			−0.521761	+	0.853092i	$0.674725\pi$
$380$	2.16566	−	23.3664i	0.111096	−	1.19867i
$381$	5.66152			0.290049
$382$	15.9894	+	8.26087i	0.818087	+	0.422663i
$383$	−10.5296	+	10.5296i	−0.538038	+	0.538038i	−0.922952	−	0.384914i	$-0.874231\pi$
$383$	−10.5296	+	10.5296i	−0.538038	+	0.538038i	0.384914	+	0.922952i	$0.374231\pi$
$384$	−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
$388$	−5.21354	+	30.6743i	−0.264677	+	1.55725i
$389$	3.85385			0.195398			0.0976989	−	0.995216i	$-0.468852\pi$
$389$	3.85385			0.195398			0.0976989	+	0.995216i	$0.468852\pi$
$390$	5.90407	+	14.5927i	0.298964	+	0.738929i
$391$			0.911350i			0.0460889i
$392$	3.18117	+	19.5418i	0.160673	+	0.987008i
$393$	−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	0.261325	−	0.965251i	$-0.415840\pi$
$397$	24.4394	−	24.4394i	1.22658	−	1.22658i	0.965251	−	0.261325i	$-0.0841595\pi$
$398$	28.7703	+	14.8641i	1.44213	+	0.745072i
$399$	8.97436	+	8.78602i	0.449280	+	0.439851i
$400$	19.6593	+	3.67573i	0.982966	+	0.183786i
$401$	−12.4092			−0.619685			−0.309843	−	0.950788i	$-0.600276\pi$
$401$	−12.4092			−0.619685			−0.309843	+	0.950788i	$0.600276\pi$
$402$	−3.64055	+	7.04649i	−0.181574	+	0.351447i
$403$	−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
$406$	3.89767	−	7.74444i	0.193438	−	0.384350i
$407$	−23.8993	+	23.8993i	−1.18464	+	1.18464i
$408$	11.8437	−	1.67104i	0.586350	−	0.0827286i
$409$	18.9480			0.936917			0.468458	−	0.883486i	$-0.344810\pi$
$409$	18.9480			0.936917			0.468458	+	0.883486i	$0.344810\pi$
$410$	−5.07008	−	12.5314i	−0.250393	−	0.618880i
$411$	1.28340			0.0633052
$412$	9.77273	+	1.66102i	0.481468	+	0.0818325i
$413$	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
$418$	−36.1032	−	18.6526i	−1.76587	−	0.912331i
$419$			6.88062i			0.336140i	0.985775	+	0.168070i	$0.0537535\pi$
$419$			6.88062i			0.336140i	−0.985775	+	0.168070i	$0.946246\pi$
$420$	−8.16202	+	6.92493i	−0.398266	+	0.337902i
$421$		−	8.59141i		−	0.418720i	−0.977839	−	0.209360i	$-0.932862\pi$
$421$		−	8.59141i		−	0.418720i	0.977839	−	0.209360i	$-0.0671380\pi$
$422$	−1.43713	+	2.78165i	−0.0699585	+	0.135408i
$423$	−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
$428$	−2.65031	+	15.5933i	−0.128108	+	0.753731i
$429$	27.2600			1.31612
$430$	−3.10412	+	7.32275i	−0.149694	+	0.353134i
$431$	−12.4084			−0.597692			−0.298846	−	0.954301i	$-0.596602\pi$
$431$	−12.4084			−0.597692			−0.298846	+	0.954301i	$0.596602\pi$
$432$	−8.13346	−	16.8942i	−0.391321	−	0.812820i
$433$	13.6612	−	13.6612i	0.656517	−	0.656517i	−0.298037	−	0.954554i	$-0.596332\pi$
$433$	13.6612	−	13.6612i	0.656517	−	0.656517i	0.954554	+	0.298037i	$0.0963320\pi$
$434$	−14.8651	−	7.48140i	−0.713547	−	0.359119i
$435$	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
$438$	14.0523	+	7.26008i	0.671444	+	0.346900i
$439$	29.9185			1.42793			0.713966	−	0.700180i	$-0.246897\pi$
$439$	29.9185			1.42793			0.713966	+	0.700180i	$0.246897\pi$
$440$	18.6690	−	29.1715i	0.890010	−	1.39070i
$441$	0.323839	+	15.2679i	0.0154209	+	0.727043i
$442$	16.6977	−	32.3192i	0.794227	−	1.53727i
$443$	10.2994	−	10.2994i	0.489338	−	0.489338i	−0.418759	−	0.908097i	$-0.637535\pi$
$443$	10.2994	−	10.2994i	0.489338	−	0.489338i	0.908097	+	0.418759i	$0.137535\pi$
$444$	−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
$448$	−6.07142	−	20.2765i	−0.286848	−	0.957976i
$449$		−	28.7401i		−	1.35633i	−0.734911	−	0.678164i	$-0.762776\pi$
$449$		−	28.7401i		−	1.35633i	0.734911	−	0.678164i	$-0.237224\pi$
$450$	14.6188	+	4.92582i	0.689137	+	0.232205i
$451$	−23.4093			−1.10230
$452$	2.15631	−	12.6868i	0.101424	−	0.596738i
$453$	−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	0.463181	−	0.886264i	$-0.346708\pi$
$457$	28.8478	−	28.8478i	1.34944	−	1.34944i	0.886264	−	0.463181i	$-0.153292\pi$
$458$	6.23354	−	12.0654i	0.291274	−	0.563777i
$459$	21.9123			1.02278
$460$	0.556983	+	0.670775i	0.0259695	+	0.0312750i
$461$	25.9733			1.20970			0.604850	−	0.796340i	$-0.293233\pi$
$461$	25.9733			1.20970			0.604850	+	0.796340i	$0.293233\pi$
$462$	5.81536	+	17.6000i	0.270555	+	0.818826i
$463$	3.87249	+	3.87249i	0.179970	+	0.179970i	0.791343	−	0.611373i	$-0.209382\pi$
$463$	3.87249	+	3.87249i	0.179970	+	0.179970i	−0.611373	+	0.791343i	$0.709382\pi$
$464$	−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	$-0.692541\pi$
$467$	5.48684	−	5.48684i	0.253901	−	0.253901i	0.822568	+	0.568667i	$0.192541\pi$
$468$	−23.6702	−	4.02309i	−1.09415	−	0.185968i
$469$	−11.4745	+	11.7205i	−0.529845	+	0.541202i
$470$	−0.675405	−	0.286305i	−0.0311541	−	0.0132063i
$471$	−9.09356			−0.419009
$472$	−7.14308	+	1.00782i	−0.328787	+	0.0463888i
$473$	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
$476$	24.4285	+	3.88594i	1.11968	+	0.178112i
$477$	6.03538	+	6.03538i	0.276341	+	0.276341i
$478$	−13.4056	+	25.9473i	−0.613158	+	1.18680i
$479$	−1.23665			−0.0565040			−0.0282520	−	0.999601i	$-0.508994\pi$
$479$	−1.23665			−0.0565040			−0.0282520	+	0.999601i	$0.508994\pi$
$480$	7.69597	−	8.46835i	0.351271	−	0.386526i
$481$			33.9629i			1.54858i
$482$	−4.80185	+	9.29424i	−0.218718	+	0.423341i
$483$	−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	−0.0129852	+	0.999916i	$0.504133\pi$
$487$	−22.3528	+	22.3528i	−1.01290	+	1.01290i	−0.999916	+	0.0129852i	$0.995867\pi$
$488$	−0.341326	−	2.41920i	−0.0154511	−	0.109512i
$489$	−16.9407			−0.766085
$490$	−20.3394	+	8.73552i	−0.918840	+	0.394631i
$491$			2.35314i			0.106196i	0.998589	+	0.0530978i	$0.0169095\pi$
$491$			2.35314i			0.106196i	−0.998589	+	0.0530978i	$0.983090\pi$
$492$	−7.62502	−	1.29598i	−0.343763	−	0.0584274i
$493$	−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
$498$	−0.328751	+	0.636315i	−0.0147317	+	0.0285140i
$499$	3.71210			0.166176			0.0830881	−	0.996542i	$-0.473522\pi$
$499$	3.71210			0.166176			0.0830881	+	0.996542i	$0.473522\pi$
$500$	1.32869	+	22.3212i	0.0594208	+	0.998233i
$501$			7.73305i			0.345487i
$502$	−9.93319	−	5.13196i	−0.443340	−	0.229051i
$503$	−1.72628	+	1.72628i	−0.0769711	+	0.0769711i	−0.744544	−	0.667573i	$-0.767333\pi$
$503$	−1.72628	+	1.72628i	−0.0769711	+	0.0769711i	0.667573	+	0.744544i	$0.267333\pi$
$504$	−2.45210	−	16.1405i	−0.109225	−	0.718957i
$505$	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
$508$	−12.3396	−	2.09730i	−0.547482	−	0.0930525i
$509$		−	18.4772i		−	0.818987i	−0.912313	−	0.409493i	$-0.865705\pi$
$509$		−	18.4772i		−	0.818987i	0.912313	−	0.409493i	$-0.134295\pi$
$510$	5.01557	+	12.3966i	0.222093	+	0.548931i
$511$	23.3733	+	22.8828i	1.03398	+	1.01228i
$512$	9.23682	+	20.6563i	0.408214	+	0.912886i
$513$	−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
$518$	−21.9277	+	7.24531i	−0.963446	+	0.318340i
$519$			0.0714539i			0.00313648i
$520$	−7.46245	−	33.9927i	−0.327250	−	1.49068i
$521$		−	25.1382i		−	1.10132i	−0.834729	−	0.550661i	$-0.814376\pi$
$521$		−	25.1382i		−	1.10132i	0.834729	−	0.550661i	$-0.185624\pi$
$522$	−3.28145	+	6.35143i	−0.143625	+	0.277994i
$523$	9.36245	+	9.36245i	0.409392	+	0.409392i	0.881526	−	0.472135i	$-0.156516\pi$
$523$	9.36245	+	9.36245i	0.409392	+	0.409392i	−0.472135	+	0.881526i	$0.656516\pi$
$524$	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
$528$	−8.59570	−	17.8543i	−0.374080	−	0.777008i
$529$		−	22.9620i		−	0.998347i
$530$	−4.82860	+	11.3909i	−0.209741	+	0.494787i
$531$	−5.56417			−0.241464
$532$	−16.3054	−	22.4742i	−0.706927	−	0.974379i
$533$	−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
$538$	15.5742	−	30.1448i	0.671452	−	1.29963i
$539$	0.812872	+	38.3241i	0.0350129	+	1.65073i
$540$	16.1280	−	13.3920i	0.694037	−	0.576299i
$541$			43.6281i			1.87572i	0.347014	+	0.937860i	$0.387196\pi$
$541$			43.6281i			1.87572i	−0.347014	+	0.937860i	$0.612804\pi$
$542$	−16.0514	+	31.0684i	−0.689467	+	1.33450i
$543$	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
$546$	16.6376	+	8.37349i	0.712024	+	0.358352i
$547$	19.1006	+	19.1006i	0.816681	+	0.816681i	0.985626	−	0.168944i	$-0.0540358\pi$
$547$	19.1006	+	19.1006i	0.816681	+	0.816681i	−0.168944	+	0.985626i	$0.554036\pi$
$548$	−2.79723	−	0.475431i	−0.119492	−	0.0203094i
$549$		−	1.88445i		−	0.0804265i
$550$	36.6948	+	12.3643i	1.56467	+	0.527217i
$551$			12.1587i			0.517979i
$552$	0.493949	−	0.0696917i	0.0210239	−	0.00296627i
$553$	−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	$-0.288249\pi$
$557$	−4.00096	−	4.00096i	−0.169526	−	0.169526i	−0.786771	+	0.617245i	$0.788249\pi$
$558$	12.1913	+	6.29859i	0.516098	+	0.266641i
$559$	13.8400			0.585368
$560$	20.3549	−	12.0697i	0.860153	−	0.510037i
$561$	23.1576			0.977716
$562$	−20.9508	−	10.8242i	−0.883756	−	0.456591i
$563$	20.4343	+	20.4343i	0.861203	+	0.861203i	0.991478	−	0.130275i	$-0.0415860\pi$
$563$	20.4343	+	20.4343i	0.861203	+	0.861203i	−0.130275	+	0.991478i	$0.541586\pi$
$564$	−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
$568$	1.51770	+	10.7569i	0.0636814	+	0.451351i
$569$			40.8383i			1.71203i	0.516952	+	0.856015i	$0.327067\pi$
$569$			40.8383i			1.71203i	−0.516952	+	0.856015i	$0.672933\pi$
$570$	5.85859	−	13.8206i	0.245389	−	0.578883i
$571$			36.0003i			1.50656i	0.657698	+	0.753282i	$0.271530\pi$
$571$			36.0003i			1.50656i	−0.657698	+	0.753282i	$0.728470\pi$
$572$	−59.4147	−	10.0984i	−2.48425	−	0.422235i
$573$	8.14056	+	8.14056i	0.340077	+	0.340077i
$574$	−14.2874	−	7.19068i	−0.596346	−	0.300133i
$575$	−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	0.686153	−	0.727457i	$-0.259298\pi$
$577$	−0.992140	−	0.992140i	−0.0413033	−	0.0413033i	−0.727457	+	0.686153i	$0.759298\pi$
$578$	3.14956	−	6.09614i	0.131004	−	0.253566i
$579$		−	11.7696i		−	0.489127i
$580$	−10.3184	−	0.956332i	−0.428446	−	0.0397095i
$581$	−1.03618	+	1.05839i	−0.0429879	+	0.0439094i
$582$	−9.13566	+	17.6826i	−0.378685	+	0.732966i
$583$	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	$-0.837438\pi$
$587$	−9.29412	+	9.29412i	−0.383609	+	0.383609i	0.488791	+	0.872401i	$0.337438\pi$
$588$	−1.85692	+	12.5281i	−0.0765780	+	0.516652i
$589$	23.3381			0.961630
$590$	−3.02495	−	7.47655i	−0.124535	−	0.307805i
$591$			23.9313i			0.984404i
$592$	22.2445	−	10.7093i	0.914242	−	0.440149i
$593$	14.4627	−	14.4627i	0.593911	−	0.593911i	−0.344774	−	0.938686i	$-0.612045\pi$
$593$	14.4627	−	14.4627i	0.593911	−	0.593911i	0.938686	+	0.344774i	$0.112045\pi$
$594$	−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
$598$	0.696387	−	1.34790i	0.0284774	−	0.0551196i
$599$		−	10.0983i		−	0.412607i	−0.978488	−	0.206303i	$-0.933857\pi$
$599$		−	10.0983i		−	0.412607i	0.978488	−	0.206303i	$-0.0661434\pi$
$600$	11.2679	+	6.05887i	0.460011	+	0.247352i
$601$		−	13.3311i		−	0.543788i	−0.962327	−	0.271894i	$-0.912350\pi$
$601$		−	13.3311i		−	0.543788i	0.962327	−	0.271894i	$-0.0876501\pi$
$602$	2.95248	+	8.93557i	0.120334	+	0.364187i
$603$	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	0.962688	+	0.270612i	$0.0872261\pi$
$607$	30.3853	+	30.3853i	1.23330	+	1.23330i	0.270612	+	0.962688i	$0.412774\pi$
$608$	20.3892	+	21.5724i	0.826892	+	0.874878i
$609$	3.87981	−	3.96297i	0.157218	−	0.160588i
$610$	2.53213	−	1.02448i	0.102523	−	0.0414800i
$611$			1.27651i			0.0516422i
$612$	−20.1081	−	3.41766i	−0.812820	−	0.138151i
$613$	17.6515	−	17.6515i	0.712936	−	0.712936i	−0.254213	−	0.967148i	$-0.581816\pi$
$613$	17.6515	−	17.6515i	0.712936	−	0.712936i	0.967148	+	0.254213i	$0.0818163\pi$
$614$	−10.9096	+	3.47686i	−0.440274	+	0.140314i
$615$	−0.656020	−	8.62237i	−0.0264533	−	0.347688i
$616$	−6.15505	−	40.5145i	−0.247994	−	1.63238i
$617$	−22.3017	+	22.3017i	−0.897831	+	0.897831i	−0.995244	−	0.0974130i	$-0.968943\pi$
$617$	−22.3017	+	22.3017i	−0.897831	+	0.897831i	0.0974130	+	0.995244i	$0.468943\pi$
$618$	5.63361	+	2.91059i	0.226617	+	0.117081i
$619$		−	13.9546i		−	0.560881i	−0.959871	−	0.280441i	$-0.909519\pi$
$619$		−	13.9546i		−	0.560881i	0.959871	−	0.280441i	$-0.0904806\pi$
$620$	−1.83563	+	19.8056i	−0.0737208	+	0.795412i
$621$	0.913868			0.0366722
$622$	17.3016	−	33.4881i	0.693729	−	1.34275i
$623$	−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
$628$	19.8199	+	3.36869i	0.790902	+	0.134425i
$629$			28.8519i			1.15040i
$630$	16.8468	−	7.02485i	0.671192	−	0.279877i
$631$	−1.02253			−0.0407062			−0.0203531	−	0.999793i	$-0.506479\pi$
$631$	−1.02253			−0.0407062			−0.0203531	+	0.999793i	$0.506479\pi$
$632$	40.8678	−	5.76607i	1.62563	−	0.229362i
$633$	−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
$638$	−8.23680	+	15.9428i	−0.326098	+	0.631180i
$639$			8.37920i			0.331476i
$640$	−19.9109	+	15.6063i	−0.787047	+	0.616893i
$641$	45.0564			1.77962			0.889810	−	0.456330i	$-0.150836\pi$
$641$	45.0564			1.77962			0.889810	+	0.456330i	$0.150836\pi$
$642$	−4.64413	+	8.98896i	−0.183289	+	0.354766i
$643$	−19.4465	−	19.4465i	−0.766894	−	0.766894i	0.210665	−	0.977558i	$-0.432437\pi$
$643$	−19.4465	−	19.4465i	−0.766894	−	0.766894i	−0.977558	+	0.210665i	$0.932437\pi$
$644$	1.01881	+	0.162066i	0.0401467	+	0.00638629i
$645$	−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	0.758168	−	0.652060i	$-0.226095\pi$
$647$	2.69899	+	2.69899i	0.106108	+	0.106108i	−0.652060	+	0.758168i	$0.726095\pi$
$648$	0.910556	+	6.45369i	0.0357700	+	0.253525i
$649$	−13.9667			−0.548239
$650$	34.8586	−	17.2878i	1.36727	−	0.678084i
$651$	−7.60674	−	7.44711i	−0.298132	−	0.291875i
$652$	36.9232	+	6.27564i	1.44603	+	0.245773i
$653$	−9.92738	+	9.92738i	−0.388488	+	0.388488i	−0.874148	−	0.485660i	$-0.838579\pi$
$653$	−9.92738	+	9.92738i	−0.388488	+	0.388488i	0.485660	+	0.874148i	$0.338579\pi$
$654$	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
$658$	−0.824161	+	0.272318i	−0.0321291	+	0.0106161i
$659$	−32.2368			−1.25577			−0.627884	−	0.778307i	$-0.716079\pi$
$659$	−32.2368			−1.25577			−0.627884	+	0.778307i	$0.716079\pi$
$660$	17.0446	−	14.1531i	0.663458	−	0.550908i
$661$	−23.5874			−0.917442			−0.458721	−	0.888580i	$-0.651692\pi$
$661$	−23.5874			−0.917442			−0.458721	+	0.888580i	$0.651692\pi$
$662$	−0.204392	+	0.395613i	−0.00794394	+	0.0153759i
$663$	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
$668$	2.86469	−	16.8546i	0.110838	−	0.652125i
$669$	−3.97389			−0.153640
$670$	18.0497	+	7.65131i	0.697323	+	0.295596i
$671$		−	4.73018i		−	0.182607i
$672$	0.238100	−	13.5374i	0.00918491	−	0.522216i
$673$	−19.0926	−	19.0926i	−0.735964	−	0.735964i	0.235830	−	0.971794i	$-0.424219\pi$
$673$	−19.0926	−	19.0926i	−0.735964	−	0.735964i	−0.971794	+	0.235830i	$0.924219\pi$
$674$	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	$-0.666270\pi$
$677$	9.56794	−	9.56794i	0.367726	−	0.367726i	0.866647	+	0.498921i	$0.166270\pi$
$678$	3.77849	−	7.31348i	0.145112	−	0.280873i
$679$	−28.7944	+	29.4116i	−1.10503	+	1.12871i
$680$	−6.33942	−	28.8771i	−0.243106	−	1.10739i
$681$	7.71638			0.295692
$682$	30.6014	+	15.8101i	1.17179	+	0.605402i
$683$	2.22869	−	2.22869i	0.0852786	−	0.0852786i	−0.663181	−	0.748459i	$-0.730794\pi$
$683$	2.22869	−	2.22869i	0.0852786	−	0.0852786i	0.748459	+	0.663181i	$0.230794\pi$
$684$	13.2477	+	18.6732i	0.506540	+	0.713986i
$685$	−0.240661	−	3.16311i	−0.00919517	−	0.120856i
$686$	−11.2759	+	23.6401i	−0.430517	+	0.902582i
$687$	6.14275	−	6.14275i	0.234361	−	0.234361i
$688$	−4.36406	−	9.06466i	−0.166378	−	0.345587i
$689$	21.5287			0.820177
$690$	0.209178	+	0.517009i	0.00796325	+	0.0196822i
$691$	30.2046			1.14904			0.574518	−	0.818492i	$-0.305190\pi$
$691$	30.2046			1.14904			0.574518	+	0.818492i	$0.305190\pi$
$692$	0.0264699	−	0.155738i	0.00100623	−	0.00592026i
$693$	−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
$698$	−10.1962	+	19.7354i	−0.385934	+	0.746996i
$699$		−	11.8771i		−	0.449234i
$700$	18.5980	+	18.8179i	0.702938	+	0.711251i
$701$		−	18.0422i		−	0.681443i	−0.940164	−	0.340721i	$-0.889329\pi$
$701$		−	18.0422i		−	0.681443i	0.940164	−	0.340721i	$-0.110671\pi$
$702$	−32.4085	−	16.7438i	−1.22318	−	0.631954i
$703$	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
$708$	−4.54930	−	0.773220i	−0.170973	−	0.0290594i
$709$	−23.5890			−0.885903			−0.442951	−	0.896546i	$-0.646069\pi$
$709$	−23.5890			−0.885903			−0.442951	+	0.896546i	$0.646069\pi$
$710$	−11.2591	+	4.55534i	−0.422547	+	0.170959i
$711$	31.8343			1.19388
$712$	6.40209	+	45.3757i	0.239929	+	1.70053i
$713$	−0.613134	+	0.613134i	−0.0229621	+	0.0229621i
$714$	14.1338	+	7.11336i	0.528945	+	0.266211i
$715$	−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
$718$	−2.26233	+	4.37887i	−0.0844295	+	0.163418i
$719$	14.6277			0.545520			0.272760	−	0.962082i	$-0.412064\pi$
$719$	14.6277			0.545520			0.272760	+	0.962082i	$0.412064\pi$
$720$	−16.8887	+	9.77382i	−0.629406	+	0.364249i
$721$	9.37045	+	9.17381i	0.348974	+	0.341650i
$722$	10.7225	+	5.53974i	0.399049	+	0.206168i
$723$	−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	0.633515	−	0.773730i	$-0.281611\pi$
$727$	−3.78061	−	3.78061i	−0.140215	−	0.140215i	−0.773730	+	0.633515i	$0.781611\pi$
$728$	−33.1607	−	24.4139i	−1.22902	−	0.904838i
$729$		−	7.69445i		−	0.284980i
$730$	15.2584	−	35.9953i	0.564740	−	1.33224i
$731$	11.7572			0.434855
$732$	0.261871	−	1.54074i	0.00967905	−	0.0569475i
$733$	13.1212	+	13.1212i	0.484643	+	0.484643i	0.906611	−	0.421968i	$-0.138660\pi$
$733$	13.1212	+	13.1212i	0.484643	+	0.484643i	−0.421968	+	0.906611i	$0.638660\pi$
$734$	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
$738$	11.7175	+	6.05384i	0.431328	+	0.222845i
$739$	32.7992			1.20654			0.603269	−	0.797538i	$-0.293865\pi$
$739$	32.7992			1.20654			0.603269	+	0.797538i	$0.293865\pi$
$740$	17.6332	+	21.2356i	0.648209	+	0.780638i
$741$	−26.1210			−0.959578
$742$	4.59270	+	13.8997i	0.168604	+	0.510273i
$743$	−18.2128	−	18.2128i	−0.668165	−	0.668165i	0.289126	−	0.957291i	$-0.406635\pi$
$743$	−18.2128	−	18.2128i	−0.668165	−	0.668165i	−0.957291	+	0.289126i	$0.906635\pi$
$744$	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
$748$	−50.4734	−	8.57868i	−1.84549	−	0.313668i
$749$	−14.6377	+	14.9514i	−0.534849	+	0.546314i
$750$	−3.52583	+	13.8623i	−0.128745	+	0.506180i
$751$	−39.3598			−1.43626			−0.718129	−	0.695910i	$-0.755001\pi$
$751$	−39.3598			−1.43626			−0.718129	+	0.695910i	$0.755001\pi$
$752$	0.836068	−	0.402514i	0.0304883	−	0.0146782i
$753$	−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
$756$	3.89668	−	24.4960i	0.141721	−	0.890912i
$757$	−18.4685	−	18.4685i	−0.671248	−	0.671248i	0.286756	−	0.958004i	$-0.407423\pi$
$757$	−18.4685	−	18.4685i	−0.671248	−	0.671248i	−0.958004	+	0.286756i	$0.907423\pi$
$758$	25.5247	+	13.1873i	0.927099	+	0.478984i
$759$	0.965804			0.0350565
$760$	−17.8890	+	27.9526i	−0.648901	+	1.01395i
$761$		−	1.87865i		−	0.0681012i	−0.999420	−	0.0340506i	$-0.989159\pi$
$761$		−	1.87865i		−	0.0681012i	0.999420	−	0.0340506i	$-0.0108407\pi$
$762$	−7.11333	−	3.67509i	−0.257689	−	0.133134i
$763$	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
$768$	1.61738	+	14.3837i	0.0583622	+	0.519025i
$769$	−31.5568			−1.13797			−0.568983	−	0.822349i	$-0.692663\pi$
$769$	−31.5568			−1.13797			−0.568983	+	0.822349i	$0.692663\pi$
$770$	42.2872	−	17.6331i	1.52393	−	0.635454i
$771$			13.5528i			0.488094i
$772$	−4.36001	+	25.6525i	−0.156920	+	0.923253i
$773$	13.7909	+	13.7909i	0.496024	+	0.496024i	0.910198	−	0.414174i	$-0.135929\pi$
$773$	13.7909	+	13.7909i	0.496024	+	0.496024i	−0.414174	+	0.910198i	$0.635929\pi$
$774$	−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
$778$	−4.84210	−	2.50166i	−0.173598	−	0.0896889i
$779$	22.4312			0.803681
$780$	2.05452	−	22.1673i	0.0735635	−	0.793715i
$781$			21.0327i			0.752609i
$782$	0.591588	−	1.14505i	0.0211551	−	0.0409469i
$783$	−7.68035	+	7.68035i	−0.274473	+	0.274473i
$784$	8.68828	−	26.6179i	0.310296	−	0.950640i
$785$	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	−0.0163171	+	0.999867i	$0.505194\pi$
$787$	−28.5075	+	28.5075i	−1.01618	+	1.01618i	−0.999867	+	0.0163171i	$0.994806\pi$
$788$	8.86531	−	52.1597i	0.315814	−	1.85811i
$789$		−	14.4645i		−	0.514950i
$790$	17.3067	+	42.7757i	0.615744	+	1.52189i
$791$	11.9093	−	12.1646i	0.423447	−	0.432523i
$792$	4.72078	+	33.4592i	0.167746	+	1.18892i
$793$	−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	−0.127446	+	0.991845i	$0.540678\pi$
$797$	−31.5989	+	31.5989i	−1.11929	+	1.11929i	−0.991845	+	0.127446i	$0.959322\pi$
$798$	−5.57238	−	16.8646i	−0.197260	−	0.597001i
$799$			1.08441i			0.0383637i
$800$	−22.3146	−	17.3798i	−0.788940	−	0.614470i
$801$			35.3458i			1.24888i
$802$	15.5913	+	8.05522i	0.550549	+	0.284440i
$803$	−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
$808$	0.626274	+	4.43881i	0.0220323	+	0.156157i
$809$		−	33.7550i		−	1.18676i	−0.804921	−	0.593382i	$-0.797792\pi$
$809$		−	33.7550i		−	1.18676i	0.804921	−	0.593382i	$-0.202208\pi$
$810$	−6.75498	+	2.73301i	−0.237346	+	0.0960281i
$811$	−35.6607			−1.25222			−0.626109	−	0.779736i	$-0.715353\pi$
$811$	−35.6607			−1.25222			−0.626109	+	0.779736i	$0.715353\pi$
$812$	−9.92434	+	7.20026i	−0.348276	+	0.252680i
$813$	−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
$818$	−23.8069	−	12.2998i	−0.832387	−	0.430051i
$819$	−22.6958	−	22.2196i	−0.793057	−	0.776414i
$820$	−1.76430	+	19.0360i	−0.0616121	+	0.664765i
$821$		−	57.1532i		−	1.99466i	−0.0730122	−	0.997331i	$-0.523261\pi$
$821$		−	57.1532i		−	1.99466i	0.0730122	−	0.997331i	$-0.476739\pi$
$822$	−1.61250	−	0.833095i	−0.0562424	−	0.0290575i
$823$	−17.9305	−	17.9305i	−0.625016	−	0.625016i	0.321793	−	0.946810i	$-0.395714\pi$
$823$	−17.9305	−	17.9305i	−0.625016	−	0.625016i	−0.946810	+	0.321793i	$0.895714\pi$
$824$	−11.2006	−	8.43077i	−0.390190	−	0.293700i
$825$	19.9630	+	14.6633i	0.695021	+	0.510511i
$826$	−8.52428	−	4.29016i	−0.296598	−	0.149274i
$827$	−19.1856	−	19.1856i	−0.667147	−	0.667147i	0.289907	−	0.957055i	$-0.406375\pi$
$827$	−19.1856	−	19.1856i	−0.667147	−	0.667147i	−0.957055	+	0.289907i	$0.906375\pi$
$828$	−0.838620	−	0.142536i	−0.0291441	−	0.00495346i
$829$		−	17.7273i		−	0.615694i	−0.951436	−	0.307847i	$-0.900392\pi$
$829$		−	17.7273i		−	0.615694i	0.951436	−	0.307847i	$-0.0996084\pi$
$830$	1.62994	+	0.690932i	0.0565759	+	0.0239826i
$831$			14.2805i			0.495386i
$832$	38.5252	+	21.3006i	1.33562	+	0.738466i
$833$	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
$838$	4.46644	−	8.64504i	0.154291	−	0.298638i
$839$	−11.0649			−0.382004			−0.191002	−	0.981590i	$-0.561174\pi$
$839$	−11.0649			−0.382004			−0.191002	+	0.981590i	$0.561174\pi$
$840$	14.7502	−	3.40247i	0.508932	−	0.117396i
$841$	−23.6308			−0.814857
$842$	−5.57697	+	10.7945i	−0.192195	+	0.372004i
$843$	−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
$848$	−6.78848	−	14.1005i	−0.233117	−	0.484212i
$849$			13.1723i			0.452073i
$850$	29.6127	−	14.6862i	1.01571	−	0.503732i
$851$			1.20329i			0.0412481i
$852$	−1.16441	+	6.85089i	−0.0398920	+	0.234708i
$853$	20.5257	+	20.5257i	0.702788	+	0.702788i	0.965008	−	0.262220i	$-0.0844546\pi$
$853$	20.5257	+	20.5257i	0.702788	+	0.702788i	−0.262220	+	0.965008i	$0.584455\pi$
$854$	1.45298	−	2.88698i	0.0497198	−	0.0987903i
$855$	−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	0.355125	−	0.934819i	$-0.384438\pi$
$857$	−16.9703	−	16.9703i	−0.579694	−	0.579694i	−0.934819	+	0.355125i	$0.884438\pi$
$858$	−34.2504	−	17.6954i	−1.16929	−	0.604110i
$859$			27.1481i			0.926282i	0.886285	+	0.463141i	$0.153278\pi$
$859$			27.1481i			0.926282i	−0.886285	+	0.463141i	$0.846722\pi$
$860$	8.65357	−	7.18556i	0.295084	−	0.245025i
$861$	−7.31115	−	7.15772i	−0.249163	−	0.243935i
$862$	15.5903	+	8.05471i	0.531009	+	0.274345i
$863$	−27.3793	−	27.3793i	−0.932004	−	0.932004i	0.0658273	−	0.997831i	$-0.479031\pi$
$863$	−27.3793	−	27.3793i	−0.932004	−	0.932004i	−0.997831	+	0.0658273i	$0.979031\pi$
$864$	−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
$868$	13.8206	+	19.0493i	0.469101	+	0.646576i
$869$	79.9076			2.71068
$870$	−6.10304	−	2.58709i	−0.206912	−	0.0877104i
$871$		−	34.1140i		−	1.15591i
$872$	−2.16223	−	15.3251i	−0.0732225	−	0.518974i
$873$	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	−0.973178	−	0.230053i	$-0.926110\pi$
$877$	−35.6327	−	35.6327i	−1.20323	−	1.20323i	−0.230053	−	0.973178i	$-0.573890\pi$
$878$	−37.5906	−	19.4211i	−1.26862	−	0.655431i
$879$			2.67028i			0.0900664i
$880$	−42.3926	+	24.5333i	−1.42905	+	0.827019i
$881$			45.9670i			1.54867i	0.632778	+	0.774333i	$0.281915\pi$
$881$			45.9670i			1.54867i	−0.632778	+	0.774333i	$0.718085\pi$
$882$	9.50403	−	19.3933i	0.320017	−	0.653007i
$883$	−27.3677	+	27.3677i	−0.920997	+	0.920997i	−0.997100	−	0.0761027i	$-0.975752\pi$
$883$	−27.3677	+	27.3677i	−0.920997	+	0.920997i	0.0761027	+	0.997100i	$0.475752\pi$
$884$	−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	0.417036	−	0.908890i	$-0.363069\pi$
$887$	−14.6486	−	14.6486i	−0.491853	−	0.491853i	−0.908890	+	0.417036i	$0.863069\pi$
$888$	15.6376	−	2.20633i	0.524765	−	0.0740394i
$889$	−11.8317	−	11.5834i	−0.396822	−	0.388494i
$890$	−47.4941	+	19.2157i	−1.59200	+	0.644112i
$891$			12.6187i			0.422743i
$892$	8.66133	+	1.47212i	0.290003	+	0.0492902i
$893$	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
$896$	−5.53384	+	29.4173i	−0.184873	+	0.982762i
$897$	0.686245	−	0.686245i	0.0229131	−	0.0229131i
$898$	−18.6561	+	36.1100i	−0.622563	+	1.20501i
$899$		−	10.3058i		−	0.343719i
$900$	−15.1700	−	15.6785i	−0.505668	−	0.522617i
$901$	18.2888			0.609289
$902$	29.4123	+	15.1958i	0.979321	+	0.505964i
$903$	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	−0.998367	−	0.0571209i	$-0.981808\pi$
$907$	−31.7875	−	31.7875i	−1.05549	−	1.05549i	−0.0571209	−	0.998367i	$-0.518192\pi$
$908$	−16.8183	−	2.85851i	−0.558134	−	0.0948631i
$909$			3.45765i			0.114683i
$910$	17.5178	−	42.5760i	0.580709	−	1.41138i
$911$	16.5303			0.547675			0.273837	−	0.961776i	$-0.411707\pi$
$911$	16.5303			0.547675			0.273837	+	0.961776i	$0.411707\pi$
$912$	8.23654	+	17.1083i	0.272739	+	0.566511i
$913$	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
$918$	−27.5314	−	14.2240i	−0.908670	−	0.469462i
$919$		−	7.35828i		−	0.242727i	−0.992608	−	0.121364i	$-0.961273\pi$
$919$		−	7.35828i		−	0.242727i	0.992608	−	0.121364i	$-0.0387267\pi$
$920$	−0.264390	−	1.20434i	−0.00871667	−	0.0397059i
$921$	−7.32447			−0.241349
$922$	−32.6338	−	16.8602i	−1.07474	−	0.555260i
$923$	14.9446	+	14.9446i	0.491909	+	0.491909i
$924$	4.11813	−	25.8882i	0.135477	−	0.851659i
$925$	−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
$928$	9.52614	−	9.00364i	0.312711	−	0.295559i
$929$	24.0469			0.788954			0.394477	−	0.918906i	$-0.370926\pi$
$929$	24.0469			0.788954			0.394477	+	0.918906i	$0.370926\pi$
$930$	−4.96579	+	11.7145i	−0.162835	+	0.384134i
$931$	−0.778907	−	36.7228i	−0.0255276	−	1.20354i
$932$	−4.39985	+	25.8869i	−0.144122	+	0.847953i
$933$	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	0.992565	−	0.121714i	$-0.0388391\pi$
$937$	26.6571	+	26.6571i	0.870851	+	0.870851i	−0.121714	+	0.992565i	$0.538839\pi$
$938$	22.0252	−	7.27752i	0.719147	−	0.237619i
$939$	10.5789			0.345229
$940$	0.662751	+	0.798151i	0.0216165	+	0.0260328i
$941$	42.2235			1.37645			0.688223	−	0.725499i	$-0.258391\pi$
$941$	42.2235			1.37645			0.688223	+	0.725499i	$0.258391\pi$
$942$	11.4255	+	5.90294i	0.372261	+	0.192328i
$943$	−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	$-0.0872626\pi$
$947$	21.2932	+	21.2932i	0.691935	+	0.691935i	−0.270722	+	0.962657i	$0.587263\pi$
$948$	26.0280	+	4.42383i	0.845349	+	0.143679i
$949$	−68.0309			−2.20838
$950$	−35.1615	−	11.8477i	−1.14079	−	0.384390i
$951$			1.66394i			0.0539569i
$952$	−28.1703	−	20.7398i	−0.913006	−	0.672181i
$953$	27.1944	+	27.1944i	0.880913	+	0.880913i	0.993627	−	0.112715i	$-0.0359545\pi$
$953$	27.1944	+	27.1944i	0.880913	+	0.880913i	−0.112715	+	0.993627i	$0.535955\pi$
$954$	−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
$958$	1.55377	+	0.802751i	0.0502000	+	0.0259357i
$959$	−2.68209	−	2.62581i	−0.0866093	−	0.0847917i
$960$	−15.1666	+	5.64421i	−0.489499	+	0.182166i
$961$	11.2184			0.361884
$962$	22.0465	−	42.6722i	0.710807	−	1.37581i
$963$	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
$966$	0.589460	+	0.296667i	0.0189656	+	0.00954512i
$967$	26.3198	−	26.3198i	0.846389	−	0.846389i	−0.143292	−	0.989680i	$-0.545769\pi$
$967$	26.3198	−	26.3198i	0.846389	−	0.846389i	0.989680	+	0.143292i	$0.0457687\pi$
$968$	7.50300	+	53.1785i	0.241156	+	1.70922i
$969$	−22.1900			−0.712846
$970$	45.2943	+	19.2003i	1.45431	+	0.616485i
$971$	−37.4361			−1.20138			−0.600690	−	0.799482i	$-0.705108\pi$
$971$	−37.4361			−1.20138			−0.600690	+	0.799482i	$0.705108\pi$
$972$	−5.41128	+	31.8377i	−0.173567	+	1.02120i
$973$	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	−0.279591	+	0.960119i	$0.590199\pi$
$977$	−38.7496	+	38.7496i	−1.23971	+	1.23971i	−0.960119	+	0.279591i	$0.909801\pi$
$978$	21.2849	+	10.9968i	0.680615	+	0.351638i
$979$			88.7218i			2.83556i
$980$	31.2256	+	2.22738i	0.997466	+	0.0711511i
$981$		−	11.9376i		−	0.381139i
$982$	1.52750	−	2.95656i	0.0487445	−	0.0943477i
$983$	−16.2282	+	16.2282i	−0.517598	+	0.517598i	−0.916844	−	0.399246i	$-0.869272\pi$
$983$	−16.2282	+	16.2282i	−0.517598	+	0.517598i	0.399246	+	0.916844i	$0.369272\pi$
$984$	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
$988$	56.9322	+	9.67645i	1.81125	+	0.307849i
$989$	0.490341			0.0155920
$990$	−35.0212	+	14.1693i	−1.11305	+	0.450329i
$991$	32.4471			1.03072			0.515358	−	0.856975i	$-0.327659\pi$
$991$	32.4471			1.03072			0.515358	+	0.856975i	$0.327659\pi$
$992$	−17.2821	−	18.2850i	−0.548706	−	0.580549i
$993$	−0.201416	+	0.201416i	−0.00639174	+	0.00639174i
$994$	−6.46065	+	12.8369i	−0.204919	+	0.407162i
$995$	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	$-0.768922\pi$
$997$	−2.65290	+	2.65290i	−0.0840182	+	0.0840182i	0.663849	+	0.747867i	$0.268922\pi$
$998$	−4.66400	−	2.40965i	−0.147636	−	0.0762760i
$999$	28.9316			0.915354

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.s.c.13.7	✓	72
4.3	odd	2		1120.2.w.c.433.23		72
5.2	odd	4	inner	280.2.s.c.237.25	yes	72
7.6	odd	2	inner	280.2.s.c.13.8	yes	72
8.3	odd	2		1120.2.w.c.433.14		72
8.5	even	2	inner	280.2.s.c.13.26	yes	72
20.7	even	4		1120.2.w.c.657.24		72
28.27	even	2		1120.2.w.c.433.13		72
35.27	even	4	inner	280.2.s.c.237.26	yes	72
40.27	even	4		1120.2.w.c.657.13		72
40.37	odd	4	inner	280.2.s.c.237.8	yes	72
56.13	odd	2	inner	280.2.s.c.13.25	yes	72
56.27	even	2		1120.2.w.c.433.24		72
140.27	odd	4		1120.2.w.c.657.14		72
280.27	odd	4		1120.2.w.c.657.23		72
280.237	even	4	inner	280.2.s.c.237.7	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.s.c.13.7	✓	72	1.1	even	1	trivial
280.2.s.c.13.8	yes	72	7.6	odd	2	inner
280.2.s.c.13.25	yes	72	56.13	odd	2	inner
280.2.s.c.13.26	yes	72	8.5	even	2	inner
280.2.s.c.237.7	yes	72	280.237	even	4	inner
280.2.s.c.237.8	yes	72	40.37	odd	4	inner
280.2.s.c.237.25	yes	72	5.2	odd	4	inner
280.2.s.c.237.26	yes	72	35.27	even	4	inner
1120.2.w.c.433.13		72	28.27	even	2
1120.2.w.c.433.14		72	8.3	odd	2
1120.2.w.c.433.23		72	4.3	odd	2
1120.2.w.c.433.24		72	56.27	even	2
1120.2.w.c.657.13		72	40.27	even	4
1120.2.w.c.657.14		72	140.27	odd	4
1120.2.w.c.657.23		72	280.27	odd	4
1120.2.w.c.657.24		72	20.7	even	4

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)

\(f(q)\)	\(=\)	\(q+(-1.25643 - 0.649134i) q^{2} +(-0.639680 - 0.639680i) q^{3} +(1.15725 + 1.63119i) q^{4} +(-1.45663 + 1.69653i) q^{5} +(0.388478 + 1.21895i) q^{6} +(0.0280541 + 2.64560i) q^{7} +(-0.395151 - 2.80069i) q^{8} -2.18162i q^{9} +O(q^{10})\)	\(q+(-1.25643 - 0.649134i) 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} +(-0.395151 - 2.80069i) q^{8} -2.18162i q^{9} +(2.93144 - 1.18603i) q^{10} -5.47610i q^{11} +(0.303167 - 1.78371i) q^{12} +(-3.89100 - 3.89100i) q^{13} +(1.68210 - 3.34223i) q^{14} +(2.01702 - 0.153462i) q^{15} +(-1.32154 + 3.77539i) q^{16} +(-3.30545 - 3.30545i) q^{17} +(-1.41616 + 2.74106i) q^{18} +5.24729i q^{19} +(-4.45305 - 0.412720i) q^{20} +(1.67439 - 1.71028i) q^{21} +(-3.55472 + 6.88036i) 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} +(-4.28301 + 3.10739i) q^{28} +2.31714 q^{29} +(-2.63386 - 1.11650i) q^{30} -4.44765i q^{31} +(4.11116 - 3.88566i) 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} +(3.40619 - 6.59287i) q^{38} +4.97799i q^{39} +(5.32705 + 3.40918i) q^{40} -4.27482i q^{41} +(-3.21397 + 1.06195i) 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} +(3.26040 - 1.56968i) q^{48} +(-6.99843 + 0.148440i) q^{49} +(-2.25787 + 6.70090i) q^{50} +4.22885i q^{51} +(1.84409 - 10.8498i) q^{52} +(-2.76647 + 2.76647i) q^{53} +(6.31615 - 2.01294i) q^{54} +(9.29039 + 7.97665i) q^{55} +(7.39842 - 1.12398i) q^{56} +(3.35658 - 3.35658i) q^{57} +(-2.91134 - 1.50414i) q^{58} -2.55047i q^{59} +(2.58452 + 3.11254i) q^{60} +0.863786 q^{61} +(-2.88712 + 5.58818i) 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} +(1.56657 - 9.21703i) q^{68} +0.176367i q^{69} +(3.22002 + 7.72214i) q^{70} -3.84082 q^{71} +(-6.11004 + 0.862069i) 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} +(3.23138 - 6.25452i) q^{78} +14.5921i q^{79} +(-4.48007 - 7.74138i) q^{80} -2.30432 q^{81} +(-2.77493 + 5.37102i) q^{82} +(0.395859 + 0.395859i) q^{83} +(4.72749 + 0.752019i) q^{84} +(10.4226 - 0.792989i) q^{85} +(3.38897 - 1.08006i) q^{86} +(-1.48223 - 1.48223i) q^{87} +(-15.3368 + 2.16389i) q^{88} -16.2016 q^{89} +(-2.58748 - 6.39528i) q^{90} +(10.1849 - 10.4032i) q^{91} +(0.0653348 - 0.384402i) 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} +(8.88942 + 4.35641i) 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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