LMFDB - Embedded newform 296.2.q.a.101.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [296,2,Mod(85,296)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(296, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 5]))

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

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

chi := DirichletCharacter("296.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.14
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.484093 - 1.32878i) q^{2} +(0.0574215 - 0.0331523i) q^{3} +(-1.53131 + 1.28651i) q^{4} +(0.0588225 + 0.101884i) q^{5} +(-0.0718494 - 0.0602516i) q^{6} +(1.40284 + 2.42979i) q^{7} +(2.45078 + 1.41198i) q^{8} +(-1.49780 + 2.59427i) q^{9} +(0.106905 - 0.127483i) q^{10} +1.77206i q^{11} +(-0.0452793 + 0.124639i) q^{12} +(0.666698 + 1.15475i) q^{13} +(2.54954 - 3.04030i) q^{14} +(0.00675535 + 0.00390021i) q^{15} +(0.689805 - 3.94007i) q^{16} +(3.86149 + 2.22943i) q^{17} +(4.17229 + 0.734380i) q^{18} +(-3.11573 - 5.39660i) q^{19} +(-0.221149 - 0.0803396i) q^{20} +(0.161106 + 0.0930146i) q^{21} +(2.35468 - 0.857844i) q^{22} +6.03806i q^{23} +(0.187538 - 0.000170922i) q^{24} +(2.49308 - 4.31814i) q^{25} +(1.21167 - 1.44490i) q^{26} +0.397536i q^{27} +(-5.27411 - 1.91599i) q^{28} +8.43088 q^{29} +(0.00191229 - 0.0108644i) q^{30} +7.13978i q^{31} +(-5.56942 + 0.990764i) q^{32} +(0.0587480 + 0.101754i) q^{33} +(1.09310 - 6.21032i) q^{34} +(-0.165037 + 0.285852i) q^{35} +(-1.04395 - 5.89955i) q^{36} +(-2.72190 - 5.43979i) q^{37} +(-5.66258 + 6.75257i) q^{38} +(0.0765655 + 0.0442051i) q^{39} +(0.000303269 + 0.332750i) q^{40} +(-2.42678 - 4.20331i) q^{41} +(0.0456055 - 0.259102i) q^{42} -11.6336 q^{43} +(-2.27977 - 2.71357i) q^{44} -0.352418 q^{45} +(8.02324 - 2.92298i) q^{46} +6.45491 q^{47} +(-0.0910128 - 0.249113i) q^{48} +(-0.435906 + 0.755012i) q^{49} +(-6.94474 - 1.22237i) q^{50} +0.295643 q^{51} +(-2.50652 - 0.910574i) q^{52} +(2.82675 + 1.63202i) q^{53} +(0.528238 - 0.192445i) q^{54} +(-0.180544 + 0.104237i) q^{55} +(0.00723256 + 7.93564i) q^{56} +(-0.357819 - 0.206587i) q^{57} +(-4.08133 - 11.2028i) q^{58} +(-5.06132 + 8.76647i) q^{59} +(-0.0153622 + 0.00271839i) q^{60} +(4.77411 + 8.26900i) q^{61} +(9.48719 - 3.45632i) q^{62} -8.40469 q^{63} +(4.01262 + 6.92090i) q^{64} +(-0.0784337 + 0.135851i) q^{65} +(0.106770 - 0.127322i) q^{66} +(6.61343 - 3.81827i) q^{67} +(-8.78131 + 1.55388i) q^{68} +(0.200175 + 0.346714i) q^{69} +(0.459728 + 0.0809184i) q^{70} +(-4.84512 - 8.39199i) q^{71} +(-7.33384 + 4.24311i) q^{72} -5.41038 q^{73} +(-5.91062 + 6.25016i) q^{74} -0.330605i q^{75} +(11.7139 + 4.25545i) q^{76} +(-4.30573 + 2.48592i) q^{77} +(0.0216740 - 0.123138i) q^{78} +(-5.20265 + 3.00375i) q^{79} +(0.442005 - 0.161485i) q^{80} +(-4.48023 - 7.75998i) q^{81} +(-4.41048 + 5.25945i) q^{82} +(-0.309739 - 0.178828i) q^{83} +(-0.366367 + 0.0648299i) q^{84} +0.524564i q^{85} +(5.63173 + 15.4584i) q^{86} +(0.484113 - 0.279503i) q^{87} +(-2.50212 + 4.34293i) q^{88} +(3.23848 + 1.86974i) q^{89} +(0.170603 + 0.468286i) q^{90} +(-1.87054 + 3.23987i) q^{91} +(-7.76800 - 9.24612i) q^{92} +(0.236700 + 0.409977i) q^{93} +(-3.12478 - 8.57715i) q^{94} +(0.366550 - 0.634883i) q^{95} +(-0.286958 + 0.241530i) q^{96} -15.7030i q^{97} +(1.21426 + 0.213727i) q^{98} +(-4.59721 - 2.65420i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

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 $

$2$	−0.484093	−	1.32878i	−0.342306	−	0.939589i
$2$	−0.484093	−	1.32878i	−0.342306	−	0.939589i
$3$	0.0574215	−	0.0331523i	0.0331523	−	0.0191405i	−0.483332	−	0.875437i	$-0.660574\pi$
$3$	0.0574215	−	0.0331523i	0.0331523	−	0.0191405i	0.516485	+	0.856297i	$0.327240\pi$
$4$	−1.53131	+	1.28651i	−0.765654	+	0.643253i
$5$	0.0588225	+	0.101884i	0.0263062	+	0.0455638i	0.878879	−	0.477045i	$-0.158292\pi$
$5$	0.0588225	+	0.101884i	0.0263062	+	0.0455638i	−0.852573	+	0.522609i	$0.824959\pi$
$6$	−0.0718494	−	0.0602516i	−0.0293324	−	0.0245976i
$7$	1.40284	+	2.42979i	0.530223	+	0.918373i	0.999378	+	0.0352572i	$0.0112250\pi$
$7$	1.40284	+	2.42979i	0.530223	+	0.918373i	−0.469156	+	0.883116i	$0.655442\pi$
$8$	2.45078	+	1.41198i	0.866481	+	0.499210i
$9$	−1.49780	+	2.59427i	−0.499267	+	0.864756i
$10$	0.106905	−	0.127483i	0.0338064	−	0.0403138i
$11$			1.77206i			0.534297i	0.963655	+	0.267149i	$0.0860815\pi$
$11$			1.77206i			0.534297i	−0.963655	+	0.267149i	$0.913919\pi$
$12$	−0.0452793	+	0.124639i	−0.0130710	+	0.0359803i
$13$	0.666698	+	1.15475i	0.184909	+	0.320271i	0.943546	−	0.331242i	$-0.107468\pi$
$13$	0.666698	+	1.15475i	0.184909	+	0.320271i	−0.758637	+	0.651513i	$0.774134\pi$
$14$	2.54954	−	3.04030i	0.681394	−	0.812555i
$15$	0.00675535	+	0.00390021i	0.00174422	+	0.00100703i
$16$	0.689805	−	3.94007i	0.172451	−	0.985018i
$17$	3.86149	+	2.22943i	0.936549	+	0.540717i	0.888877	−	0.458146i	$-0.151486\pi$
$17$	3.86149	+	2.22943i	0.936549	+	0.540717i	0.0476722	+	0.998863i	$0.484820\pi$
$18$	4.17229	+	0.734380i	0.983417	+	0.173095i
$19$	−3.11573	−	5.39660i	−0.714797	−	1.23806i	−0.963038	−	0.269366i	$-0.913186\pi$
$19$	−3.11573	−	5.39660i	−0.714797	−	1.23806i	0.248241	−	0.968698i	$-0.420147\pi$
$20$	−0.221149	−	0.0803396i	−0.0494505	−	0.0179645i
$21$	0.161106	+	0.0930146i	0.0351562	+	0.0202974i
$22$	2.35468	−	0.857844i	0.502020	−	0.182893i
$23$			6.03806i			1.25902i	0.776992	+	0.629511i	$0.216745\pi$
$23$			6.03806i			1.25902i	−0.776992	+	0.629511i	$0.783255\pi$
$24$	0.187538		0.000170922i	0.0382810		3.48894e-5i
$25$	2.49308	−	4.31814i	0.498616	−	0.863628i
$26$	1.21167	−	1.44490i	0.237628	−	0.283369i
$27$			0.397536i			0.0765059i
$28$	−5.27411	−	1.91599i	−0.996713	−	0.362088i
$29$	8.43088			1.56558			0.782788	−	0.622289i	$-0.213797\pi$
$29$	8.43088			1.56558			0.782788	+	0.622289i	$0.213797\pi$
$30$	0.00191229	−	0.0108644i	0.000349135	−	0.00198357i
$31$			7.13978i			1.28234i	0.767398	+	0.641171i	$0.221551\pi$
$31$			7.13978i			1.28234i	−0.767398	+	0.641171i	$0.778449\pi$
$32$	−5.56942	+	0.990764i	−0.984543	+	0.175144i
$33$	0.0587480	+	0.101754i	0.0102267	+	0.0177132i
$34$	1.09310	−	6.21032i	0.187465	−	1.06506i
$35$	−0.165037	+	0.285852i	−0.0278963	+	0.0483179i
$36$	−1.04395	−	5.89955i	−0.173991	−	0.983259i
$37$	−2.72190	−	5.43979i	−0.447477	−	0.894295i
$37$	−2.72190	−	5.43979i	−0.447477	−	0.894295i
$38$	−5.66258	+	6.75257i	−0.918592	+	1.09541i
$39$	0.0765655	+	0.0442051i	0.0122603	+	0.00707849i
$40$	0.000303269		0.332750i	4.79511e−5		0.0526125i
$41$	−2.42678	−	4.20331i	−0.379000	−	0.656447i	0.611917	−	0.790922i	$-0.290399\pi$
$41$	−2.42678	−	4.20331i	−0.379000	−	0.656447i	−0.990917	+	0.134475i	$0.957065\pi$
$42$	0.0456055	−	0.259102i	0.00703708	−	0.0399803i
$43$	−11.6336			−1.77410			−0.887051	−	0.461671i	$-0.847250\pi$
$43$	−11.6336			−1.77410			−0.887051	+	0.461671i	$0.847250\pi$
$44$	−2.27977	−	2.71357i	−0.343688	−	0.409087i
$45$	−0.352418			−0.0525354
$46$	8.02324	−	2.92298i	1.18296	−	0.430970i
$47$	6.45491			0.941546			0.470773	−	0.882254i	$-0.343975\pi$
$47$	6.45491			0.941546			0.470773	+	0.882254i	$0.343975\pi$
$48$	−0.0910128	−	0.249113i	−0.0131366	−	0.0359564i
$49$	−0.435906	+	0.755012i	−0.0622723	+	0.107859i
$50$	−6.94474	−	1.22237i	−0.982134	−	0.172869i
$51$	0.295643			0.0413983
$52$	−2.50652	−	0.910574i	−0.347591	−	0.126274i
$53$	2.82675	+	1.63202i	0.388284	+	0.224176i	0.681416	−	0.731896i	$-0.261364\pi$
$53$	2.82675	+	1.63202i	0.388284	+	0.224176i	−0.293133	+	0.956072i	$0.594698\pi$
$54$	0.528238	−	0.192445i	0.0718840	−	0.0261884i
$55$	−0.180544	+	0.104237i	−0.0243446	+	0.0140554i
$56$	0.00723256	+	7.93564i	0.000966492	+	1.06045i
$57$	−0.357819	−	0.206587i	−0.0473943	−	0.0273631i
$58$	−4.08133	−	11.2028i	−0.535905	−	1.47100i
$59$	−5.06132	+	8.76647i	−0.658928	+	1.14130i	0.321965	+	0.946751i	$0.395657\pi$
$59$	−5.06132	+	8.76647i	−0.658928	+	1.14130i	−0.980894	+	0.194545i	$0.937677\pi$
$60$	−0.0153622	+	0.00271839i	−0.00198325	+	0.000350942i
$61$	4.77411	+	8.26900i	0.611262	+	1.05874i	0.991028	+	0.133654i	$0.0426711\pi$
$61$	4.77411	+	8.26900i	0.611262	+	1.05874i	−0.379766	+	0.925082i	$0.623996\pi$
$62$	9.48719	−	3.45632i	1.20487	−	0.438953i
$63$	−8.40469			−1.05889
$64$	4.01262	+	6.92090i	0.501578	+	0.865113i
$65$	−0.0784337	+	0.135851i	−0.00972851	+	0.0168503i
$66$	0.106770	−	0.127322i	0.0131424	−	0.0156722i
$67$	6.61343	−	3.81827i	0.807959	−	0.466475i	−0.0382876	−	0.999267i	$-0.512190\pi$
$67$	6.61343	−	3.81827i	0.807959	−	0.466475i	0.846247	+	0.532791i	$0.178857\pi$
$68$	−8.78131	+	1.55388i	−1.06489	+	0.188436i
$69$	0.200175	+	0.346714i	0.0240983	+	0.0417395i
$70$	0.459728	+	0.0809184i	0.0549480	+	0.00967160i
$71$	−4.84512	−	8.39199i	−0.575010	−	0.995946i	−0.996041	−	0.0888995i	$-0.971665\pi$
$71$	−4.84512	−	8.39199i	−0.575010	−	0.995946i	0.421031	−	0.907046i	$-0.361668\pi$
$72$	−7.33384	+	4.24311i	−0.864301	+	0.500055i
$73$	−5.41038			−0.633237			−0.316619	−	0.948553i	$-0.602548\pi$
$73$	−5.41038			−0.633237			−0.316619	+	0.948553i	$0.602548\pi$
$74$	−5.91062	+	6.25016i	−0.687096	+	0.726567i
$75$		−	0.330605i		−	0.0381750i
$76$	11.7139	+	4.25545i	1.34368	+	0.488133i
$77$	−4.30573	+	2.48592i	−0.490684	+	0.283297i
$78$	0.0216740	−	0.123138i	0.00245410	−	0.0139426i
$79$	−5.20265	+	3.00375i	−0.585344	+	0.337948i	−0.763254	−	0.646098i	$-0.776400\pi$
$79$	−5.20265	+	3.00375i	−0.585344	+	0.337948i	0.177910	+	0.984047i	$0.443066\pi$
$80$	0.442005	−	0.161485i	0.0494177	−	0.0180546i
$81$	−4.48023	−	7.75998i	−0.497803	−	0.862220i
$82$	−4.41048	+	5.25945i	−0.487056	+	0.580809i
$83$	−0.309739	−	0.178828i	−0.0339983	−	0.0196289i	0.482905	−	0.875673i	$-0.339582\pi$
$83$	−0.309739	−	0.178828i	−0.0339983	−	0.0196289i	−0.516903	+	0.856044i	$0.672915\pi$
$84$	−0.366367	+	0.0648299i	−0.0399739	+	0.00707352i
$85$			0.524564i			0.0568969i
$86$	5.63173	+	15.4584i	0.607285	+	1.66693i
$87$	0.484113	−	0.279503i	0.0519024	−	0.0299659i
$88$	−2.50212	+	4.34293i	−0.266727	+	0.462958i
$89$	3.23848	+	1.86974i	0.343279	+	0.198192i	0.661721	−	0.749750i	$-0.269826\pi$
$89$	3.23848	+	1.86974i	0.343279	+	0.198192i	−0.318442	+	0.947942i	$0.603160\pi$
$90$	0.170603	+	0.468286i	0.0179832	+	0.0493617i
$91$	−1.87054	+	3.23987i	−0.196086	+	0.339630i
$92$	−7.76800	−	9.24612i	−0.809870	−	0.963975i
$93$	0.236700	+	0.409977i	0.0245447	+	0.0425126i
$94$	−3.12478	−	8.57715i	−0.322296	−	0.884666i
$95$	0.366550	−	0.634883i	0.0376072	−	0.0651376i
$96$	−0.286958	+	0.241530i	−0.0292875	+	0.0246511i
$97$		−	15.7030i		−	1.59440i	−0.603718	−	0.797198i	$-0.706315\pi$
$97$		−	15.7030i		−	1.59440i	0.603718	−	0.797198i	$-0.293685\pi$
$98$	1.21426	+	0.213727i	0.122659	+	0.0215897i
$99$	−4.59721	−	2.65420i	−0.462037	−	0.266757i
$100$	1.73764	+	9.81976i	0.173764	+	0.981976i
$101$			4.24740i			0.422632i	0.977418	+	0.211316i	$0.0677749\pi$
$101$			4.24740i			0.422632i	−0.977418	+	0.211316i	$0.932225\pi$
$102$	−0.143119	−	0.392845i	−0.0141709	−	0.0388974i
$103$		−	6.89690i		−	0.679571i	−0.940503	−	0.339786i	$-0.889645\pi$
$103$		−	6.89690i		−	0.679571i	0.940503	−	0.339786i	$-0.110355\pi$
$104$	0.00343727	+	3.77141i	0.000337052	+	0.369817i
$105$			0.0218854i			0.00213580i
$106$	0.800189	−	4.54617i	0.0777212	−	0.441563i
$107$	3.95844	−	2.28541i	0.382677	−	0.220939i	−0.296305	−	0.955093i	$-0.595755\pi$
$107$	3.95844	−	2.28541i	0.382677	−	0.220939i	0.678982	+	0.734155i	$0.262421\pi$
$108$	−0.511433	−	0.608750i	−0.0492126	−	0.0585770i
$109$	4.71964	−	8.17466i	0.452060	−	0.782991i	−0.546454	−	0.837489i	$-0.684023\pi$
$109$	4.71964	−	8.17466i	0.452060	−	0.782991i	0.998514	+	0.0544985i	$0.0173560\pi$
$110$	0.225909	+	0.189443i	0.0215395	+	0.0180627i
$111$	−0.336637	−	0.222123i	−0.0319521	−	0.0210830i
$112$	10.5412	−	3.85120i	0.996051	−	0.363904i
$113$	0.495059	+	0.285823i	0.0465713	+	0.0268879i	0.523105	−	0.852268i	$-0.324774\pi$
$113$	0.495059	+	0.285823i	0.0465713	+	0.0268879i	−0.476534	+	0.879156i	$0.658107\pi$
$114$	−0.101291	+	0.575470i	−0.00948674	+	0.0538977i
$115$	−0.615179	+	0.355174i	−0.0573658	+	0.0331201i
$116$	−12.9103	+	10.8464i	−1.19869	+	1.00706i
$117$	−3.99432			−0.369275
$118$	14.0989	+	2.48159i	1.29790	+	0.228449i
$119$			12.5101i			1.14680i
$120$	0.0110489	+	0.0190970i	0.00100862	+	0.00174331i
$121$	7.85979			0.714526
$122$	8.67656	−	10.3467i	0.785539	−	0.936746i
$123$	−0.278699	−	0.160907i	−0.0251294	−	0.0145085i
$124$	−9.18537	−	10.9332i	−0.824870	−	0.981830i
$125$	1.17482			0.105079
$126$	4.06865	+	11.1680i	0.362464	+	0.994922i
$127$	7.13838	−	12.3640i	0.633429	−	1.09713i	−0.353416	−	0.935466i	$-0.614980\pi$
$127$	7.13838	−	12.3640i	0.633429	−	1.09713i	0.986846	−	0.161665i	$-0.0516865\pi$
$128$	7.25386	−	8.68225i	0.641157	−	0.767410i
$129$	−0.668016	+	0.385679i	−0.0588156	+	0.0339572i
$130$	0.218485	+	0.0384564i	0.0191624	+	0.00337285i
$131$	7.99319	−	13.8446i	0.698368	−	1.20961i	−0.270664	−	0.962674i	$-0.587243\pi$
$131$	7.99319	−	13.8446i	0.698368	−	1.20961i	0.969032	−	0.246935i	$-0.0794236\pi$
$132$	−0.220869	−	0.0802378i	−0.0192242	−	0.00698380i
$133$	8.74172	−	15.1411i	0.758003	−	1.31290i
$134$	−8.27515	−	6.93939i	−0.714864	−	0.599472i
$135$	−0.0405024	+	0.0233841i	−0.00348589	+	0.00201258i
$136$	6.31574	+	10.9162i	0.541570	+	0.936056i
$137$	12.4630			1.06478			0.532392	−	0.846498i	$-0.321293\pi$
$137$	12.4630			1.06478			0.532392	+	0.846498i	$0.321293\pi$
$138$	0.363803	−	0.433831i	0.0309690	−	0.0369301i
$139$	−2.35322	−	1.35863i	−0.199597	−	0.115238i	0.396870	−	0.917875i	$-0.370096\pi$
$139$	−2.35322	−	1.35863i	−0.199597	−	0.115238i	−0.596468	+	0.802637i	$0.703430\pi$
$140$	−0.115028	−	0.650049i	−0.00972168	−	0.0549392i
$141$	0.370651	−	0.213995i	0.0312144	−	0.0180216i
$142$	−8.80561	+	10.5006i	−0.738950	+	0.881190i
$143$	−2.04630	+	1.18143i	−0.171120	+	0.0987962i
$144$	9.18842	+	7.69099i	0.765701	+	0.640916i
$145$	0.495926	+	0.858969i	0.0411844	+	0.0713335i
$146$	2.61913	+	7.18920i	0.216761	+	0.594982i
$147$			0.0578052i			0.00476769i
$148$	11.1664	+	4.82825i	0.917871	+	0.396880i
$149$			14.1276i			1.15738i	0.815549	+	0.578688i	$0.196435\pi$
$149$			14.1276i			1.15738i	−0.815549	+	0.578688i	$0.803565\pi$
$150$	−0.439301	+	0.160044i	−0.0358688	+	0.0130675i
$151$	−2.99047	−	5.17964i	−0.243361	−	0.421513i	0.718309	−	0.695725i	$-0.244917\pi$
$151$	−2.99047	−	5.17964i	−0.243361	−	0.421513i	−0.961669	+	0.274211i	$0.911583\pi$
$152$	−0.0160636	−	17.6252i	−0.00130293	−	1.42959i
$153$	−11.5675	+	6.67850i	−0.935177	+	0.539924i
$154$	5.38761	+	4.51795i	0.434146	+	0.364067i
$155$	−0.727427	+	0.419980i	−0.0584283	+	0.0337336i
$156$	−0.174116	+	0.0308104i	−0.0139404	+	0.00246680i
$157$	0.353494	+	0.204090i	0.0282119	+	0.0162882i	0.514040	−	0.857766i	$-0.328148\pi$
$157$	0.353494	+	0.204090i	0.0282119	+	0.0162882i	−0.485828	+	0.874055i	$0.661482\pi$
$158$	6.50989	+	5.45908i	0.517899	+	0.434301i
$159$	0.216421			0.0171633
$160$	−0.428550	−	0.509153i	−0.0338798	−	0.0402521i
$161$	−14.6712	+	8.47041i	−1.15625	+	0.667562i
$162$	−8.14245	+	9.70978i	−0.639731	+	0.762873i
$163$	−2.69163	+	4.66203i	−0.210824	+	0.365159i	−0.951973	−	0.306183i	$-0.900948\pi$
$163$	−2.69163	+	4.66203i	−0.210824	+	0.365159i	0.741148	+	0.671341i	$0.234282\pi$
$164$	9.12374	+	3.31449i	0.712444	+	0.258818i
$165$	−0.00691141	+	0.0119709i	−0.000538053	+	0.000931935i
$166$	−0.0876802	+	0.498144i	−0.00680531	+	0.0386635i
$167$	5.60294	−	3.23486i	0.433569	−	0.250321i	−0.267297	−	0.963614i	$-0.586130\pi$
$167$	5.60294	−	3.23486i	0.433569	−	0.250321i	0.700866	+	0.713293i	$0.252797\pi$
$168$	0.263500	+	0.455437i	0.0203295	+	0.0351377i
$169$	5.61103	−	9.71859i	0.431618	−	0.747584i
$170$	0.697029	−	0.253938i	0.0534597	−	0.0194761i
$171$	18.6670			1.42750
$172$	17.8146	−	14.9666i	1.35835	−	1.14120i
$173$	−16.5631	−	9.56268i	−1.25927	−	0.727037i	−0.286334	−	0.958130i	$-0.592437\pi$
$173$	−16.5631	−	9.56268i	−1.25927	−	0.727037i	−0.972932	+	0.231093i	$0.925770\pi$
$174$	−0.605754	−	0.507974i	−0.0459221	−	0.0385094i
$175$	13.9895			1.05751
$176$	6.98206	+	1.22238i	0.526292	+	0.0921403i
$177$			0.671178i			0.0504488i
$178$	0.916743	−	5.20836i	0.0687128	−	0.390383i
$179$	4.06143			0.303565			0.151783	−	0.988414i	$-0.451499\pi$
$179$	4.06143			0.303565			0.151783	+	0.988414i	$0.451499\pi$
$180$	0.539660	−	0.453388i	0.0402239	−	0.0337935i
$181$	15.7641	−	9.10138i	1.17173	−	0.676500i	0.217645	−	0.976028i	$-0.430162\pi$
$181$	15.7641	−	9.10138i	1.17173	−	0.676500i	0.954088	+	0.299528i	$0.0968291\pi$
$182$	5.21058	+	0.917134i	0.386234	+	0.0679825i
$183$	0.548272	+	0.316545i	0.0405295	+	0.0233997i
$184$	−8.52562	+	14.7979i	−0.628517	+	1.09092i
$185$	0.394116	−	0.597299i	0.0289760	−	0.0439143i
$186$	0.430183	−	0.512989i	0.0315426	−	0.0376142i
$187$	−3.95070	+	6.84281i	−0.288904	+	0.500396i
$188$	−9.88446	+	8.30428i	−0.720898	+	0.605652i
$189$	−0.965928	+	0.557679i	−0.0702609	+	0.0405651i
$190$	−1.02106	−	0.179721i	−0.0740758	−	0.0130384i
$191$		−	6.17125i		−	0.446536i	−0.974757	−	0.223268i	$-0.928327\pi$
$191$		−	6.17125i		−	0.446536i	0.974757	−	0.223268i	$-0.0716725\pi$
$192$	0.459854	+	0.264381i	0.0331871	+	0.0190800i
$193$			2.30955i			0.166245i	0.996539	+	0.0831225i	$0.0264893\pi$
$193$			2.30955i			0.166245i	−0.996539	+	0.0831225i	$0.973511\pi$
$194$	−20.8658	+	7.60170i	−1.49808	+	0.545770i
$195$			0.0104010i			0.000744833i
$196$	−0.303821	−	1.71695i	−0.0217015	−	0.122639i
$197$	−14.5131	−	8.37915i	−1.03402	−	0.596990i	−0.115884	−	0.993263i	$-0.536970\pi$
$197$	−14.5131	−	8.37915i	−1.03402	−	0.596990i	−0.918133	+	0.396273i	$0.870303\pi$
$198$	−1.30137	+	7.39356i	−0.0924842	+	0.525437i
$199$			1.85153i			0.131251i	0.997844	+	0.0656257i	$0.0209043\pi$
$199$			1.85153i			0.131251i	−0.997844	+	0.0656257i	$0.979096\pi$
$200$	12.2071	−	7.06262i	0.863173	−	0.499403i
$201$	0.253169	−	0.438501i	0.0178571	−	0.0309295i
$202$	5.64385	−	2.05614i	0.397100	−	0.144669i
$203$	11.8272	+	20.4852i	0.830103	+	1.43778i
$204$	−0.452721	+	0.380347i	−0.0316968	+	0.0266296i
$205$	0.285499	−	0.494499i	0.0199401	−	0.0345373i
$206$	−9.16445	+	3.33874i	−0.638517	+	0.232621i
$207$	−15.6643	−	9.04381i	−1.08875	−	0.628589i
$208$	5.00971	−	1.83028i	0.347361	−	0.126907i
$209$	9.56311	−	5.52127i	0.661494	−	0.381914i
$210$	0.0290809	−	0.0105946i	0.00200677	−	0.000731096i
$211$			5.19026i			0.357312i	0.983912	+	0.178656i	$0.0571749\pi$
$211$			5.19026i			0.357312i	−0.983912	+	0.178656i	$0.942825\pi$
$212$	−6.42823	+	1.13750i	−0.441492	+	0.0781236i
$213$	−0.556427	−	0.321253i	−0.0381258	−	0.0220119i
$214$	−4.95305	−	4.15354i	−0.338584	−	0.283930i
$215$	−0.684316	−	1.18527i	−0.0466700	−	0.0808347i
$216$	−0.561313	+	0.974273i	−0.0381925	+	0.0662909i
$217$	−17.3481	+	10.0160i	−1.17767	+	0.679927i
$218$	−13.1471	−	2.31406i	−0.890432	−	0.156728i
$219$	−0.310672	+	0.179367i	−0.0209933	+	0.0121205i
$220$	0.142367	−	0.391891i	0.00959838	−	0.0264213i
$221$			5.94543i			0.399933i
$222$	−0.132189	+	0.554844i	−0.00887197	+	0.0372387i
$223$	4.24585			0.284323			0.142162	−	0.989843i	$-0.454595\pi$
$223$	4.24585			0.284323			0.142162	+	0.989843i	$0.454595\pi$
$224$	−10.2203	−	12.1426i	−0.682874	−	0.811312i
$225$	7.46828	+	12.9354i	0.497885	+	0.862363i
$226$	0.140140	−	0.796189i	0.00932199	−	0.0529617i
$227$	−12.0135	−	20.8081i	−0.797366	−	1.38108i	−0.921326	−	0.388792i	$-0.872893\pi$
$227$	−12.0135	−	20.8081i	−0.797366	−	1.38108i	0.123959	−	0.992287i	$-0.460441\pi$
$228$	0.813707	−	0.143988i	0.0538890	−	0.00953585i
$229$	−21.9615	+	12.6795i	−1.45126	+	0.837883i	−0.998553	−	0.0537776i	$-0.982874\pi$
$229$	−21.9615	+	12.6795i	−1.45126	+	0.837883i	−0.452704	+	0.891661i	$0.649540\pi$
$230$	0.769752	+	0.645500i	0.0507559	+	0.0425630i
$231$	−0.164828	+	0.285490i	−0.0108449	+	0.0187839i
$232$	20.6622	+	11.9042i	1.35654	+	0.781551i
$233$	−6.80335			−0.445702			−0.222851	−	0.974853i	$-0.571536\pi$
$233$	−6.80335			−0.445702			−0.222851	+	0.974853i	$0.571536\pi$
$234$	1.93363	+	5.30758i	0.126405	+	0.346967i
$235$	0.379694	+	0.657650i	0.0247685	+	0.0429004i
$236$	−3.52767	−	19.9356i	−0.229632	−	1.29770i
$237$	−0.199162	+	0.344960i	−0.0129370	+	0.0224075i
$238$	16.6232	−	6.05607i	1.07752	−	0.392557i
$239$	5.66461	+	3.27046i	0.366413	+	0.211549i	0.671890	−	0.740651i	$-0.265483\pi$
$239$	5.66461	+	3.27046i	0.366413	+	0.211549i	−0.305477	+	0.952199i	$0.598816\pi$
$240$	0.0200270	−	0.0239262i	0.00129274	−	0.00154443i
$241$	−18.6710	+	10.7797i	−1.20271	+	0.694383i	−0.961156	−	0.276006i	$-0.910989\pi$
$241$	−18.6710	+	10.7797i	−1.20271	+	0.694383i	−0.241550	+	0.970388i	$0.577656\pi$
$242$	−3.80487	−	10.4439i	−0.244586	−	0.671361i
$243$	−1.54735	−	0.893364i	−0.0992626	−	0.0573093i
$244$	−17.9487	−	6.52046i	−1.14905	−	0.417430i
$245$	−0.102564			−0.00655260
$246$	−0.0788934	+	0.448223i	−0.00503006	+	0.0285777i
$247$	4.15450	−	7.19580i	0.264344	−	0.457858i
$248$	−10.0812	+	17.4980i	−0.640159	+	1.11112i
$249$	−0.0237142			−0.00150283
$250$	−0.568724	−	1.56108i	−0.0359692	−	0.0987314i
$251$	12.9386			0.816679			0.408340	−	0.912830i	$-0.366108\pi$
$251$	12.9386			0.816679			0.408340	+	0.912830i	$0.366108\pi$
$252$	12.8702	−	10.8127i	0.810744	−	0.681135i
$253$	−10.6998			−0.672692
$254$	−19.8847	−	3.49999i	−1.24768	−	0.219609i
$255$	0.0173905	+	0.0301212i	0.00108903	+	0.00188626i
$256$	−15.0483	−	5.43576i	−0.940521	−	0.339735i
$257$	22.7103	+	13.1118i	1.41663	+	0.817893i	0.996001	−	0.0893384i	$-0.0284753\pi$
$257$	22.7103	+	13.1118i	1.41663	+	0.817893i	0.420631	+	0.907232i	$0.361809\pi$
$258$	0.835865	+	0.700941i	0.0520387	+	0.0436387i
$259$	9.39914	−	14.2448i	0.584034	−	0.885126i
$260$	−0.0546672	−	0.308935i	−0.00339032	−	0.0191594i
$261$	−12.6278	+	21.8720i	−0.781640	+	1.35384i
$262$	−22.2659	−	3.91910i	−1.37559	−	0.242123i
$263$	−1.44551	−	2.50369i	−0.0891338	−	0.154384i	0.818011	−	0.575202i	$-0.195077\pi$
$263$	−1.44551	−	2.50369i	−0.0891338	−	0.154384i	−0.907145	+	0.420818i	$0.861743\pi$
$264$	0.000302885		0.332329i	1.86413e−5		0.0204534i
$265$			0.383999i			0.0235889i
$266$	−24.3510	−	4.28611i	−1.49305	−	0.262798i
$267$	0.247945			0.0151740
$268$	−5.21497	+	14.3552i	−0.318555	+	0.876881i
$269$			14.0116i			0.854305i	0.904180	+	0.427153i	$0.140483\pi$
$269$			14.0116i			0.854305i	−0.904180	+	0.427153i	$0.859517\pi$
$270$	0.0506792	+	0.0424987i	0.00308424	+	0.00258639i
$271$	−9.06115	+	15.6944i	−0.550426	+	0.953365i	0.447818	+	0.894125i	$0.352201\pi$
$271$	−9.06115	+	15.6944i	−0.550426	+	0.953365i	−0.998244	+	0.0592405i	$0.981132\pi$
$272$	11.4478	−	13.6767i	0.694125	−	0.829270i
$273$			0.248050i			0.0150127i
$274$	−6.03324	−	16.5605i	−0.364482	−	1.00046i
$275$	7.65202	+	4.41790i	0.461434	+	0.266409i
$276$	−0.752580	−	0.273399i	−0.0453000	−	0.0164567i
$277$	0.722938	+	1.25217i	0.0434372	+	0.0752354i	0.886927	−	0.461910i	$-0.152836\pi$
$277$	0.722938	+	1.25217i	0.0434372	+	0.0752354i	−0.843489	+	0.537146i	$0.819503\pi$
$278$	−0.666144	+	3.78461i	−0.0399527	+	0.226986i
$279$	−18.5225	−	10.6940i	−1.10891	−	0.640232i
$280$	−0.808087	+	0.467532i	−0.0482924	+	0.0279404i
$281$	25.7216	+	14.8504i	1.53442	+	0.885901i	0.999150	+	0.0412228i	$0.0131254\pi$
$281$	25.7216	+	14.8504i	1.53442	+	0.885901i	0.535275	+	0.844678i	$0.320208\pi$
$282$	−0.463782	−	0.388919i	−0.0276178	−	0.0231598i
$283$	14.9986	+	25.9783i	0.891575	+	1.54425i	0.837988	+	0.545689i	$0.183732\pi$
$283$	14.9986	+	25.9783i	0.891575	+	1.54425i	0.0535871	+	0.998563i	$0.482935\pi$
$284$	18.2157	+	6.61744i	1.08090	+	0.392673i
$285$		−	0.0486079i		−	0.00287928i
$286$	2.56046	+	2.14716i	0.151403	+	0.126964i
$287$	6.80877	−	11.7931i	0.401909	−	0.696126i
$288$	5.77157	−	15.9325i	0.340093	−	0.938833i
$289$	1.44074	+	2.49544i	0.0847495	+	0.146790i
$290$	0.901305	−	1.07480i	0.0529265	−	0.0631142i
$291$	−0.520590	−	0.901688i	−0.0305175	−	0.0528579i
$292$	8.28496	−	6.96049i	0.484840	−	0.407332i
$293$	7.96315	−	4.59753i	0.465212	−	0.268591i	−0.249021	−	0.968498i	$-0.580109\pi$
$293$	7.96315	−	4.59753i	0.465212	−	0.268591i	0.714233	+	0.699908i	$0.246775\pi$
$294$	0.0768103	−	0.0279831i	0.00447967	−	0.00163201i
$295$	−1.19088			−0.0693357
$296$	1.01011	−	17.1750i	0.0587114	−	0.998275i
$297$	−0.704459			−0.0408769
$298$	18.7724	−	6.83906i	1.08746	−	0.396176i
$299$	−6.97247	+	4.02556i	−0.403229	+	0.232804i
$300$	0.425326	+	0.506258i	0.0245562	+	0.0292288i
$301$	−16.3200	−	28.2671i	−0.940669	−	1.62929i
$302$	−5.43493	+	6.48110i	−0.312745	+	0.372945i
$303$	0.140811	+	0.243892i	0.00808938	+	0.0140112i
$304$	−23.4122	+	8.55359i	−1.34278	+	0.490582i
$305$	−0.561650	+	0.972807i	−0.0321600	+	0.0557028i
$306$	14.4740	+	12.1376i	0.827423	+	0.693862i
$307$		−	5.95372i		−	0.339797i	−0.985462	−	0.169898i	$-0.945656\pi$
$307$		−	5.95372i		−	0.339797i	0.985462	−	0.169898i	$-0.0543440\pi$
$308$	3.39526	−	9.34606i	0.193463	−	0.532541i
$309$	−0.228648	−	0.396030i	−0.0130073	−	0.0225293i
$310$	0.910203	+	0.763280i	0.0516961	+	0.0433514i
$311$	2.22987	+	1.28742i	0.126444	+	0.0730027i	0.561888	−	0.827213i	$-0.310075\pi$
$311$	2.22987	+	1.28742i	0.126444	+	0.0730027i	−0.435444	+	0.900216i	$0.643408\pi$
$312$	0.125228	+	0.216446i	0.00708966	+	0.0122538i
$313$	−27.5687	−	15.9168i	−1.55828	−	0.899671i	−0.997422	−	0.0717560i	$-0.977140\pi$
$313$	−27.5687	−	15.9168i	−1.55828	−	0.899671i	−0.560854	−	0.827915i	$-0.689527\pi$
$314$	0.100066	−	0.568514i	0.00564707	−	0.0320831i
$315$	−0.494385	−	0.856300i	−0.0278555	−	0.0482471i
$316$	4.10251	−	11.2929i	0.230784	−	0.635276i
$317$	−11.0688	−	6.39059i	−0.621687	−	0.358931i	0.155838	−	0.987783i	$-0.450192\pi$
$317$	−11.0688	−	6.39059i	−0.621687	−	0.358931i	−0.777526	+	0.628851i	$0.783525\pi$
$318$	−0.104768	−	0.287576i	−0.00587510	−	0.0161265i
$319$			14.9401i			0.836482i
$320$	−0.469094	+	0.815926i	−0.0262231	+	0.0456116i
$321$	0.151533	−	0.262463i	0.00845774	−	0.0146492i
$322$	18.3575	+	15.3943i	1.02303	+	0.857891i
$323$		−	27.7852i		−	1.54601i
$324$	16.8439	+	6.11908i	0.935770	+	0.339949i
$325$	6.64852			0.368794
$326$	7.49781	+	1.31972i	0.415265	+	0.0730924i
$327$		−	0.625868i		−	0.0346106i
$328$	−0.0125117	−	13.7280i	−0.000690842	−	0.757999i
$329$	9.05520	+	15.6841i	0.499229	+	0.864690i
$330$	0.0192525	+	0.00338870i	0.00105981	+	0.000186542i
$331$	−11.3265	+	19.6180i	−0.622558	+	1.07830i	0.366450	+	0.930438i	$0.380573\pi$
$331$	−11.3265	+	19.6180i	−0.622558	+	1.07830i	−0.989008	+	0.147864i	$0.952760\pi$
$332$	0.704369	−	0.124641i	0.0386573	−	0.00684054i
$333$	18.1891	+	1.08639i	0.996758	+	0.0595339i
$334$	−7.01076	−	5.87910i	−0.383612	−	0.321690i
$335$	0.778038	+	0.449200i	0.0425087	+	0.0245424i
$336$	0.477616	−	0.570607i	0.0260561	−	0.0311292i
$337$	1.51804	+	2.62932i	0.0826928	+	0.143228i	0.904406	−	0.426674i	$-0.140315\pi$
$337$	1.51804	+	2.62932i	0.0826928	+	0.143228i	−0.821713	+	0.569902i	$0.806981\pi$
$338$	−15.6301	−	2.75111i	−0.850166	−	0.149641i
$339$	0.0379027			0.00205859
$340$	−0.674854	−	0.803268i	−0.0365991	−	0.0435633i
$341$	−12.6521			−0.685152
$342$	−9.03655	−	24.8043i	−0.488641	−	1.34126i
$343$	17.1937			0.928373
$344$	−28.5113	−	16.4264i	−1.53723	−	0.885650i
$345$	−0.0235497	+	0.0407892i	−0.00126787	+	0.00219602i
$346$	−4.68863	+	26.6379i	−0.252062	+	1.43206i
$347$	−24.7590			−1.32913			−0.664566	−	0.747229i	$-0.731384\pi$
$347$	−24.7590			−1.32913			−0.664566	+	0.747229i	$0.731384\pi$
$348$	−0.381744	+	1.05082i	−0.0204636	+	0.0563299i
$349$	−7.68820	−	4.43878i	−0.411540	−	0.237603i	0.279911	−	0.960026i	$-0.409695\pi$
$349$	−7.68820	−	4.43878i	−0.411540	−	0.237603i	−0.691451	+	0.722423i	$0.743028\pi$
$350$	−6.77224	−	18.5890i	−0.361992	−	0.993625i
$351$	−0.459057	+	0.265036i	−0.0245026	+	0.0141466i
$352$	−1.75570	−	9.86936i	−0.0935789	−	0.526039i
$353$	−21.5013	−	12.4138i	−1.14440	−	0.660718i	−0.196881	−	0.980427i	$-0.563081\pi$
$353$	−21.5013	−	12.4138i	−1.14440	−	0.660718i	−0.947516	+	0.319710i	$0.896415\pi$
$354$	0.891847	−	0.324913i	0.0474011	−	0.0172689i
$355$	0.570004	−	0.987276i	0.0302527	−	0.0523992i
$356$	−7.36455	+	1.30318i	−0.390320	+	0.0690685i
$357$	0.414739	+	0.718350i	0.0219503	+	0.0380191i
$358$	−1.96611	−	5.39674i	−0.103912	−	0.285227i
$359$	29.8646			1.57619			0.788095	−	0.615553i	$-0.211067\pi$
$359$	29.8646			1.57619			0.788095	+	0.615553i	$0.211067\pi$
$360$	−0.863698	−	0.497607i	−0.0455209	−	0.0262262i
$361$	−9.91550	+	17.1742i	−0.521869	+	0.903903i
$362$	−19.7250	−	16.5410i	−1.03672	−	0.869377i
$363$	0.451321	−	0.260570i	0.0236882	−	0.0136764i
$364$	−1.30374	−	7.36769i	−0.0683345	−	0.386172i
$365$	−0.318252	−	0.551229i	−0.0166581	−	0.0288527i
$366$	0.155204	−	0.881770i	0.00811263	−	0.0460909i
$367$	−2.35547	−	4.07979i	−0.122954	−	0.212963i	0.797977	−	0.602688i	$-0.205904\pi$
$367$	−2.35547	−	4.07979i	−0.122954	−	0.212963i	−0.920931	+	0.389724i	$0.872570\pi$
$368$	23.7904	+	4.16508i	1.24016	+	0.217120i
$369$	14.5394			0.756889
$370$	−0.984467	−	0.234545i	−0.0511800	−	0.0121934i
$371$			9.15785i			0.475452i
$372$	−0.889898	−	0.323284i	−0.0461391	−	0.0167615i
$373$	30.0078	−	17.3250i	1.55375	−	0.897056i	0.555915	−	0.831239i	$-0.312368\pi$
$373$	30.0078	−	17.3250i	1.55375	−	0.897056i	0.997832	−	0.0658166i	$-0.0209652\pi$
$374$	11.0051	+	1.93705i	0.569059	+	0.100162i
$375$	0.0674600	−	0.0389481i	0.00348362	−	0.00201127i
$376$	15.8196	+	9.11421i	0.815831	+	0.470030i
$377$	5.62085	+	9.73560i	0.289488	+	0.501409i
$378$	1.20863	+	1.01354i	0.0621652	+	0.0521307i
$379$	24.0330	+	13.8755i	1.23449	+	0.712735i	0.967963	−	0.251091i	$-0.0807893\pi$
$379$	24.0330	+	13.8755i	1.23449	+	0.712735i	0.266531	+	0.963826i	$0.414123\pi$
$380$	0.255480	+	1.44377i	0.0131059	+	0.0740638i
$381$		−	0.946615i		−	0.0484966i
$382$	−8.20023	+	2.98746i	−0.419560	+	0.152852i
$383$	−11.9736	+	6.91297i	−0.611823	+	0.353236i	−0.773679	−	0.633578i	$-0.781585\pi$
$383$	−11.9736	+	6.91297i	−0.611823	+	0.353236i	0.161856	+	0.986814i	$0.448252\pi$
$384$	0.128691	−	0.739030i	0.00656724	−	0.0377135i
$385$	−0.506549	−	0.292456i	−0.0258161	−	0.0149049i
$386$	3.06888	−	1.11804i	0.156202	−	0.0569066i
$387$	17.4248	−	30.1806i	0.885751	−	1.53417i
$388$	20.2020	+	24.0461i	1.02560	+	1.22075i
$389$	12.4342	+	21.5366i	0.630438	+	1.09195i	0.987462	+	0.157855i	$0.0504579\pi$
$389$	12.4342	+	21.5366i	0.630438	+	1.09195i	−0.357025	+	0.934095i	$0.616209\pi$
$390$	0.0138207	−	0.00503507i	0.000699837	−	0.000254961i
$391$	−13.4614	+	23.3159i	−0.680774	+	1.17914i
$392$	−2.13437	+	1.23487i	−0.107802	+	0.0623706i
$393$		−	1.05997i		−	0.0534684i
$394$	−4.10834	+	23.3410i	−0.206975	+	1.17590i
$395$	−0.612066	−	0.353377i	−0.0307964	−	0.0177803i
$396$	10.4544	−	1.84994i	0.525353	−	0.0929630i
$397$		−	5.96597i		−	0.299423i	−0.988730	−	0.149712i	$-0.952165\pi$
$397$		−	5.96597i		−	0.299423i	0.988730	−	0.149712i	$-0.0478345\pi$
$398$	2.46027	−	0.896312i	0.123322	−	0.0449281i
$399$		−	1.15923i		−	0.0580342i
$400$	−15.2940	−	12.8016i	−0.764702	−	0.640080i
$401$			14.3923i			0.718718i	0.933199	+	0.359359i	$0.117005\pi$
$401$			14.3923i			0.718718i	−0.933199	+	0.359359i	$0.882995\pi$
$402$	−0.705228	−	0.124130i	−0.0351736	−	0.00619103i
$403$	−8.24469	+	4.76008i	−0.410697	+	0.237116i
$404$	−5.46430	−	6.50407i	−0.271859	−	0.323590i
$405$	0.527077	−	0.912924i	0.0261906	−	0.0453635i
$406$	21.4949	−	25.6324i	1.06677	−	1.27212i
$407$	9.63965	−	4.82337i	0.477820	−	0.239086i
$408$	0.724556	+	0.417443i	0.0358709	+	0.0206665i
$409$	0.418816	+	0.241804i	0.0207091	+	0.0119564i	0.510319	−	0.859985i	$-0.329527\pi$
$409$	0.418816	+	0.241804i	0.0207091	+	0.0119564i	−0.489610	+	0.871942i	$0.662861\pi$
$410$	−0.795288	−	0.139982i	−0.0392765	−	0.00691320i
$411$	0.715643	−	0.413176i	0.0353000	−	0.0203805i
$412$	8.87290	+	10.5613i	0.437136	+	0.520316i
$413$	−28.4009			−1.39751
$414$	−4.43423	+	25.1925i	−0.217930	+	1.23814i
$415$		−	0.0420765i		−	0.00206545i
$416$	−4.85721	−	5.77077i	−0.238144	−	0.282935i
$417$	−0.180167			−0.00882282
$418$	−11.9660	−	10.0345i	−0.585275	−	0.490801i
$419$	−6.21203	−	3.58652i	−0.303478	−	0.175213i	0.340527	−	0.940235i	$-0.389395\pi$
$419$	−6.21203	−	3.58652i	−0.303478	−	0.175213i	−0.644004	+	0.765022i	$0.722728\pi$
$420$	−0.0281557	−	0.0335133i	−0.00137386	−	0.00163528i
$421$	−28.9608			−1.41146			−0.705732	−	0.708479i	$-0.749382\pi$
$421$	−28.9608			−1.41146			−0.705732	+	0.708479i	$0.749382\pi$
$422$	6.89670	−	2.51257i	0.335726	−	0.122310i
$423$	−9.66818	+	16.7458i	−0.470083	+	0.814208i
$424$	4.62334	+	7.99104i	0.224529	+	0.388079i
$425$	19.2540	−	11.1163i	0.933957	−	0.539220i
$426$	−0.157512	+	0.894886i	−0.00763149	+	0.0433574i
$427$	−13.3946	+	23.2001i	−0.648210	+	1.12273i
$428$	−3.12140	+	8.59222i	−0.150879	+	0.415320i
$429$	−0.0783343	+	0.135679i	−0.00378202	+	0.00655064i
$430$	−1.24369	+	1.48309i	−0.0599760	+	0.0715208i
$431$	24.5328	−	14.1640i	1.18170	−	0.682257i	0.225296	−	0.974290i	$-0.427665\pi$
$431$	24.5328	−	14.1640i	1.18170	−	0.682257i	0.956408	+	0.292034i	$0.0943319\pi$
$432$	1.56632	+	0.274222i	0.0753596	+	0.0131935i
$433$	−9.60818			−0.461740			−0.230870	−	0.972985i	$-0.574157\pi$
$433$	−9.60818			−0.461740			−0.230870	+	0.972985i	$0.574157\pi$
$434$	21.7071	+	18.2032i	1.04197	+	0.873781i
$435$	0.0569536	+	0.0328822i	0.00273071	+	0.00157658i
$436$	3.28953	+	18.5898i	0.157540	+	0.890289i
$437$	32.5850	−	18.8129i	1.55875	−	0.899945i
$438$	0.388733	+	0.325984i	0.0185744	+	0.0155761i
$439$	4.93381	−	2.84854i	0.235478	−	0.135953i	−0.377619	−	0.925961i	$-0.623257\pi$
$439$	4.93381	−	2.84854i	0.235478	−	0.135953i	0.613097	+	0.790008i	$0.289924\pi$
$440$	−0.589655		0.000537413i	−0.0281107		2.56201e-5i
$441$	−1.30580	−	2.26172i	−0.0621811	−	0.107701i
$442$	7.90017	−	2.87814i	0.375773	−	0.136899i
$443$			17.5297i			0.832863i	0.909167	+	0.416432i	$0.136719\pi$
$443$			17.5297i			0.832863i	−0.909167	+	0.416432i	$0.863281\pi$
$444$	0.801257	−	0.0929459i	0.0380260	−	0.00441102i
$445$			0.439931i			0.0208547i
$446$	−2.05539	−	5.64179i	−0.0973254	−	0.267147i
$447$	0.468361	+	0.811226i	0.0221527	+	0.0383697i
$448$	−11.1872	+	19.4587i	−0.528548	+	0.919338i
$449$	12.7067	−	7.33619i	0.599664	−	0.346216i	−0.169245	−	0.985574i	$-0.554133\pi$
$449$	12.7067	−	7.33619i	0.599664	−	0.346216i	0.768910	+	0.639358i	$0.220800\pi$
$450$	13.5730	−	16.1857i	0.639837	−	0.762999i
$451$	7.44854	−	4.30041i	0.350738	−	0.202499i
$452$	−1.12580	+	0.199214i	−0.0529532	+	0.00937026i
$453$	−0.343434	−	0.198282i	−0.0161359	−	0.00931609i
$454$	−21.8336	+	26.0364i	−1.02470	+	1.22195i
$455$	−0.440119			−0.0206331
$456$	−0.585238	−	1.01153i	−0.0274063	−	0.0473693i
$457$	3.35122	−	1.93483i	0.156764	−	0.0905075i	−0.419566	−	0.907725i	$-0.637818\pi$
$457$	3.35122	−	1.93483i	0.156764	−	0.0905075i	0.576330	+	0.817217i	$0.304484\pi$
$458$	27.4796	+	23.0439i	1.28404	+	1.07677i
$459$	−0.886280	+	1.53508i	−0.0413680	+	0.0716515i
$460$	0.485095	−	1.33531i	0.0226177	−	0.0622593i
$461$	−7.09406	+	12.2873i	−0.330403	+	0.572275i	−0.982591	−	0.185782i	$-0.940518\pi$
$461$	−7.09406	+	12.2873i	−0.330403	+	0.572275i	0.652188	+	0.758058i	$0.273851\pi$
$462$	0.459145	+	0.0808159i	0.0213614	+	0.00375989i
$463$	10.3602	−	5.98146i	0.481479	−	0.277982i	−0.239554	−	0.970883i	$-0.577001\pi$
$463$	10.3602	−	5.98146i	0.481479	−	0.277982i	0.721033	+	0.692901i	$0.243668\pi$
$464$	5.81566	−	33.2183i	0.269985	−	1.54212i
$465$	−0.0278466	+	0.0482317i	−0.00129136	+	0.00223669i
$466$	3.29345	+	9.04015i	0.152566	+	0.418777i
$467$	40.6459			1.88087			0.940433	−	0.339979i	$-0.110420\pi$
$467$	40.6459			1.88087			0.940433	+	0.339979i	$0.110420\pi$
$468$	6.11654	−	5.13872i	0.282737	−	0.237538i
$469$	18.5551	+	10.7128i	0.856797	+	0.494672i
$470$	0.690064	−	0.822894i	0.0318303	−	0.0379573i
$471$	0.0270642			0.00124705
$472$	−24.7823	+	14.3382i	−1.14070	+	0.659968i
$473$		−	20.6154i		−	0.947898i
$474$	0.554788	+	0.0976504i	0.0254823	+	0.00448523i
$475$	−31.0710			−1.42564
$476$	−16.0944	−	19.1569i	−0.737683	−	0.878053i
$477$	−8.46781	+	4.88889i	−0.387715	+	0.223847i
$478$	1.60352	−	9.11022i	0.0733435	−	0.416692i
$479$	−25.1217	−	14.5040i	−1.14784	−	0.662705i	−0.199479	−	0.979902i	$-0.563925\pi$
$479$	−25.1217	−	14.5040i	−1.14784	−	0.662705i	−0.948360	+	0.317197i	$0.897258\pi$
$480$	−0.0414876	−	0.0150289i	−0.00189364	−	0.000685973i
$481$	4.46694	−	6.76982i	0.203675	−	0.308677i
$482$	23.3624	+	19.5913i	1.06413	+	0.892358i
$483$	−0.561627	+	0.972767i	−0.0255549	+	0.0442624i
$484$	−12.0358	+	10.1117i	−0.547080	+	0.459621i
$485$	1.59988	−	0.923689i	0.0726466	−	0.0419426i
$486$	−0.438021	+	2.48856i	−0.0198690	+	0.112883i
$487$			35.6137i			1.61381i	0.590679	+	0.806906i	$0.298860\pi$
$487$			35.6137i			1.61381i	−0.590679	+	0.806906i	$0.701140\pi$
$488$	0.0246137	+	27.0064i	0.00111421	+	1.22252i
$489$			0.356934i			0.0161411i
$490$	0.0496508	+	0.136286i	0.00224299	+	0.00615675i
$491$		−	21.5105i		−	0.970754i	−0.874305	−	0.485377i	$-0.838682\pi$
$491$		−	21.5105i		−	0.970754i	0.874305	−	0.485377i	$-0.161318\pi$
$492$	0.633781	−	0.112150i	0.0285731	−	0.00505611i
$493$	32.5558	+	18.7961i	1.46624	+	0.846533i
$494$	−11.5728	−	2.03697i	−0.520684	−	0.0916476i
$495$		−	0.624507i		−	0.0280695i
$496$	28.1312	+	4.92506i	1.26313	+	0.221142i
$497$	13.5938	−	23.5452i	0.609766	−	1.05615i
$498$	0.0114799	+	0.0315110i	0.000514427	+	0.00141204i
$499$	−6.38910	−	11.0662i	−0.286015	−	0.495393i	0.686840	−	0.726809i	$-0.258998\pi$
$499$	−6.38910	−	11.0662i	−0.286015	−	0.495393i	−0.972855	+	0.231416i	$0.925664\pi$
$500$	−1.79901	+	1.51142i	−0.0804544	+	0.0675926i
$501$	0.214486	−	0.371501i	0.00958253	−	0.0165974i
$502$	−6.26350	−	17.1926i	−0.279554	−	0.767342i
$503$	−19.4096	−	11.2061i	−0.865430	−	0.499656i	0.000396621	−	1.00000i	$-0.499874\pi$
$503$	−19.4096	−	11.2061i	−0.865430	−	0.499656i	−0.865827	+	0.500343i	$0.833207\pi$
$504$	−20.5980	−	11.8673i	−0.917509	−	0.528610i
$505$	−0.432740	+	0.249843i	−0.0192567	+	0.0111179i
$506$	5.17971	+	14.2177i	0.230266	+	0.632054i
$507$		−	0.744074i		−	0.0330455i
$508$	4.97535	+	28.1167i	0.220746	+	1.24748i
$509$	4.18109	+	2.41396i	0.185324	+	0.106997i	0.589792	−	0.807556i	$-0.299210\pi$
$509$	4.18109	+	2.41396i	0.185324	+	0.106997i	−0.404468	+	0.914552i	$0.632543\pi$
$510$	0.0316058	−	0.0376896i	0.00139953	−	0.00166892i
$511$	−7.58988	−	13.1461i	−0.335757	−	0.581548i
$512$	0.0618679	+	22.6273i	0.00273420	+	0.999996i
$513$	2.14534	−	1.23861i	0.0947192	−	0.0546861i
$514$	6.42879	−	36.5244i	0.283562	−	1.61102i
$515$	0.702681	−	0.405693i	0.0309638	−	0.0178770i
$516$	0.526760	−	1.45000i	0.0231893	−	0.0638327i
$517$			11.4385i			0.503065i
$518$	−23.4782	−	5.59358i	−1.03157	−	0.245768i
$519$	−1.26810			−0.0556634
$520$	−0.384043	+	0.222194i	−0.0168414	+	0.00974386i
$521$	−4.23916	−	7.34245i	−0.185721	−	0.321678i	0.758098	−	0.652140i	$-0.226129\pi$
$521$	−4.23916	−	7.34245i	−0.185721	−	0.321678i	−0.943819	+	0.330462i	$0.892795\pi$
$522$	35.1760	+	6.19147i	1.53961	+	0.270993i
$523$	−13.5054	−	23.3921i	−0.590550	−	1.02286i	−0.994158	−	0.107931i	$-0.965577\pi$
$523$	−13.5054	−	23.3921i	−0.590550	−	1.02286i	0.403608	−	0.914932i	$-0.367756\pi$
$524$	5.57114	+	31.4836i	0.243377	+	1.37537i
$525$	0.803300	−	0.463786i	0.0350589	−	0.0202413i
$526$	−2.62709	+	3.13278i	−0.114547	+	0.136596i
$527$	−15.9177	+	27.5702i	−0.693384	+	1.20098i
$528$	0.441445	−	0.161280i	0.0192114	−	0.00701883i
$529$	−13.4581			−0.585136
$530$	0.510250	−	0.185891i	0.0221638	−	0.00807460i
$531$	−15.1617	−	26.2609i	−0.657962	−	1.13962i
$532$	6.09285	+	34.4319i	0.264159	+	1.49281i
$533$	3.23586	−	5.60468i	0.140161	−	0.242766i
$534$	−0.120028	−	0.329464i	−0.00519413	−	0.0142573i
$535$	0.465691	+	0.268867i	0.0201336	+	0.0116241i
$536$	21.5994	−	0.0196857i	0.932950	−	0.000850293i
$537$	0.233213	−	0.134646i	0.0100639	−	0.00581039i
$538$	18.6184	−	6.78294i	0.802696	−	0.292433i
$539$	−1.33793	−	0.772453i	−0.0576287	−	0.0332719i
$540$	0.0319379	−	0.0879148i	0.00137439	−	0.00378325i
$541$	39.0532			1.67903			0.839514	−	0.543338i	$-0.182840\pi$
$541$	39.0532			1.67903			0.839514	+	0.543338i	$0.182840\pi$
$542$	25.2408	+	4.44273i	1.08418	+	0.190831i
$543$	0.603463	−	1.04523i	0.0258971	−	0.0448551i
$544$	−23.7151	−	8.59081i	−1.01678	−	0.368328i
$545$	1.11049			0.0475680
$546$	0.329604	−	0.120080i	0.0141058	−	0.00513893i
$547$	−0.788689			−0.0337219			−0.0168610	−	0.999858i	$-0.505367\pi$
$547$	−0.788689			−0.0337219			−0.0168610	+	0.999858i	$0.505367\pi$
$548$	−19.0847	+	16.0337i	−0.815256	+	0.684926i
$549$	−28.6027			−1.22073
$550$	2.16612	−	12.3065i	0.0923635	−	0.524752i
$551$	−26.2683	−	45.4981i	−1.11907	−	1.93828i
$552$	0.00103204	+	1.13236i	4.39265e−5	+	0.0481966i
$553$	−14.5969	−	8.42755i	−0.620725	−	0.358376i
$554$	1.31388	−	1.56679i	0.0558215	−	0.0665665i
$555$	0.00282891	−	0.0473636i	0.000120081	−	0.00201047i
$556$	5.35139	−	0.946948i	0.226950	−	0.0401595i
$557$	3.62812	−	6.28408i	0.153728	−	0.266265i	−0.778867	−	0.627189i	$-0.784205\pi$
$557$	3.62812	−	6.28408i	0.153728	−	0.266265i	0.932595	+	0.360924i	$0.117539\pi$
$558$	−5.24331	+	29.7892i	−0.221967	+	1.26108i
$559$	−7.75607	−	13.4339i	−0.328047	−	0.568194i
$560$	1.01244	+	0.847440i	0.0427832	+	0.0358109i
$561$			0.523899i			0.0221190i
$562$	7.28123	−	41.3674i	0.307140	−	1.74498i
$563$	−14.9236			−0.628954			−0.314477	−	0.949265i	$-0.601829\pi$
$563$	−14.9236			−0.628954			−0.314477	+	0.949265i	$0.601829\pi$
$564$	−0.292274	+	0.804537i	−0.0123070	+	0.0338771i
$565$			0.0672513i			0.00282928i
$566$	27.2588	−	32.5058i	1.14577	−	1.36632i
$567$	12.5701	−	21.7720i	0.527893	−	0.914337i
$568$	−0.0249798	−	27.4081i	−0.00104813	−	1.15002i
$569$			5.07491i			0.212751i	0.994326	+	0.106376i	$0.0339246\pi$
$569$			5.07491i			0.212751i	−0.994326	+	0.106376i	$0.966075\pi$
$570$	−0.0645891	+	0.0235308i	−0.00270534	+	0.000985595i
$571$	−12.2321	−	7.06218i	−0.511896	−	0.295543i	0.221717	−	0.975111i	$-0.428834\pi$
$571$	−12.2321	−	7.06218i	−0.511896	−	0.295543i	−0.733612	+	0.679568i	$0.762167\pi$
$572$	1.61359	−	4.44171i	0.0674678	−	0.185717i
$573$	−0.204591	−	0.354362i	−0.00854692	−	0.0148037i
$574$	−18.9665	−	3.33837i	−0.791648	−	0.139341i
$575$	26.0732	+	15.0534i	1.08733	+	0.627768i
$576$	−23.9648	+	0.0436832i	−0.998533	+	0.00182013i
$577$	−23.9337	−	13.8181i	−0.996374	−	0.575257i	−0.0892008	−	0.996014i	$-0.528431\pi$
$577$	−23.9337	−	13.8181i	−0.996374	−	0.575257i	−0.907174	+	0.420757i	$0.861765\pi$
$578$	2.61843	−	3.12245i	0.108912	−	0.129877i
$579$	0.0765669	+	0.132618i	0.00318201	+	0.00551140i
$580$	−1.86448	−	0.677334i	−0.0774185	−	0.0281248i
$581$		−	1.00347i		−	0.0416308i
$582$	−0.946130	+	1.12825i	−0.0392183	+	0.0467674i
$583$	−2.89205	+	5.00917i	−0.119776	+	0.207459i
$584$	−13.2596	−	7.63935i	−0.548688	−	0.316119i
$585$	−0.234956	−	0.406956i	−0.00971425	−	0.0168256i
$586$	−9.96401	−	8.35564i	−0.411609	−	0.345168i
$587$	−7.50930	−	13.0065i	−0.309942	−	0.536835i	0.668407	−	0.743795i	$-0.266976\pi$
$587$	−7.50930	−	13.0065i	−0.309942	−	0.536835i	−0.978349	+	0.206960i	$0.933643\pi$
$588$	−0.0743667	−	0.0885175i	−0.00306683	−	0.00365040i
$589$	38.5305	−	22.2456i	1.58762	−	0.916614i
$590$	0.576497	+	1.58242i	0.0237340	+	0.0651470i
$591$	−1.11115			−0.0457067
$592$	−23.3107	+	6.97208i	−0.958065	+	0.286551i
$593$	−2.62264			−0.107699			−0.0538494	−	0.998549i	$-0.517149\pi$
$593$	−2.62264			−0.107699			−0.0538494	+	0.998549i	$0.517149\pi$
$594$	0.341024	+	0.936071i	0.0139924	+	0.0384074i
$595$	−1.27458	+	0.735878i	−0.0522526	+	0.0301680i
$596$	−18.1752	−	21.6336i	−0.744485	−	0.886149i
$597$	0.0613824	+	0.106317i	0.00251222	+	0.00435128i
$598$	8.72441	+	7.31613i	0.356768	+	0.299179i
$599$	15.0486	+	26.0650i	0.614870	+	1.06499i	0.990407	+	0.138179i	$0.0441250\pi$
$599$	15.0486	+	26.0650i	0.614870	+	1.06499i	−0.375537	+	0.926807i	$0.622542\pi$
$600$	0.466808	−	0.810240i	0.0190574	−	0.0330779i
$601$	20.5049	−	35.5155i	0.836413	−	1.44871i	−0.0564625	−	0.998405i	$-0.517982\pi$
$601$	20.5049	−	35.5155i	0.836413	−	1.44871i	0.892875	−	0.450304i	$-0.148685\pi$
$602$	−29.6603	+	35.3696i	−1.20886	+	1.44156i
$603$			22.8760i			0.931584i
$604$	11.2430	+	4.08437i	0.457470	+	0.166191i
$605$	0.462333	+	0.800784i	0.0187965	+	0.0325565i
$606$	0.255913	−	0.305173i	0.0103957	−	0.0123968i
$607$	−1.23016	−	0.710232i	−0.0499306	−	0.0288274i	0.474827	−	0.880079i	$-0.342511\pi$
$607$	−1.23016	−	0.710232i	−0.0499306	−	0.0288274i	−0.524757	+	0.851252i	$0.675844\pi$
$608$	22.6995	+	26.9689i	0.920587	+	1.09373i
$609$	1.35827	+	0.784195i	0.0550397	+	0.0317772i
$610$	1.56454	+	0.275380i	0.0633462	+	0.0111498i
$611$	4.30348	+	7.45384i	0.174100	+	0.301550i
$612$	9.12147	−	25.1085i	0.368713	−	1.01495i
$613$	−22.8358	−	13.1843i	−0.922331	−	0.532508i	−0.0379529	−	0.999280i	$-0.512084\pi$
$613$	−22.8358	−	13.1843i	−0.922331	−	0.532508i	−0.884378	+	0.466772i	$0.845417\pi$
$614$	−7.91118	+	2.88216i	−0.319269	+	0.116314i
$615$		−	0.0378598i		−	0.00152665i
$616$	−14.0625	+	0.0128166i	−0.566593	+	0.000516394i
$617$	−1.14008	+	1.97467i	−0.0458978	+	0.0794973i	−0.888062	−	0.459724i	$-0.847948\pi$
$617$	−1.14008	+	1.97467i	−0.0458978	+	0.0794973i	0.842164	+	0.539222i	$0.181282\pi$
$618$	−0.415549	+	0.495538i	−0.0167158	+	0.0199335i
$619$			35.7164i			1.43557i	0.696267	+	0.717783i	$0.254843\pi$
$619$			35.7164i			1.43557i	−0.696267	+	0.717783i	$0.745157\pi$
$620$	0.573607	−	1.57896i	0.0230366	−	0.0634125i
$621$	−2.40035			−0.0963226
$622$	0.631227	−	3.58624i	0.0253099	−	0.143795i
$623$			10.4918i			0.420344i
$624$	0.226987	−	0.271181i	0.00908674	−	0.0108559i
$625$	−12.3963	−	21.4710i	−0.495852	−	0.858840i
$626$	−7.80409	+	44.3379i	−0.311914	+	1.77210i
$627$	0.366085	−	0.634078i	0.0146200	−	0.0253226i
$628$	−0.803871	+	0.142248i	−0.0320780	+	0.00567631i
$629$	1.61706	−	27.0740i	0.0644764	−	1.07951i
$630$	−0.898506	+	1.07146i	−0.0357973	+	0.0426879i
$631$	−17.0288	−	9.83160i	−0.677907	−	0.391390i	0.121159	−	0.992633i	$-0.461339\pi$
$631$	−17.0288	−	9.83160i	−0.677907	−	0.391390i	−0.799066	+	0.601243i	$0.794672\pi$
$632$	−16.9918	+	0.0154863i	−0.675896	+	0.000616013i
$633$	0.172069	+	0.298032i	0.00683913	+	0.0118457i
$634$	−3.13334	+	17.8017i	−0.124441	+	0.706995i
$635$	1.67959			0.0666526
$636$	−0.331407	+	0.278427i	−0.0131412	+	0.0110404i
$637$	−1.16247			−0.0460588
$638$	19.8520	−	7.23238i	0.785949	−	0.286333i
$639$	29.0281			1.14833
$640$	1.31127	+	0.228338i	0.0518325	+	0.00902586i
$641$	5.10552	−	8.84303i	0.201656	−	0.349278i	−0.747406	−	0.664367i	$-0.768701\pi$
$641$	5.10552	−	8.84303i	0.201656	−	0.349278i	0.949062	+	0.315089i	$0.102034\pi$
$642$	−0.422111	−	0.0742973i	−0.0166594	−	0.00293228i
$643$	−14.5558			−0.574023			−0.287012	−	0.957927i	$-0.592662\pi$
$643$	−14.5558			−0.574023			−0.287012	+	0.957927i	$0.592662\pi$
$644$	11.5689	−	31.8454i	0.455877	−	1.25488i
$645$	−0.0785888	−	0.0453733i	−0.00309443	−	0.00178657i
$646$	−36.9204	+	13.4506i	−1.45261	+	0.529208i
$647$	−35.7149	+	20.6200i	−1.40410	+	0.810656i	−0.994810	−	0.101750i	$-0.967556\pi$
$647$	−35.7149	+	20.6200i	−1.40410	+	0.810656i	−0.409287	+	0.912406i	$0.634222\pi$
$648$	−0.0230986	−	25.3440i	−0.000907397	−	0.995605i
$649$	−15.5347	−	8.96898i	−0.609792	−	0.352063i
$650$	−3.21851	−	8.83442i	−0.126240	−	0.346514i
$651$	−0.664104	+	1.15026i	−0.0260283	+	0.0450823i
$652$	−1.87603	−	10.6018i	−0.0734709	−	0.415199i
$653$	19.5700	+	33.8962i	0.765832	+	1.32646i	0.939806	+	0.341709i	$0.111006\pi$
$653$	19.5700	+	33.8962i	0.765832	+	1.32646i	−0.173974	+	0.984750i	$0.555661\pi$
$654$	−0.831640	+	0.302979i	−0.0325197	+	0.0118474i
$655$	1.88072			0.0734858
$656$	−18.2354	+	6.66223i	−0.711971	+	0.260117i
$657$	8.10368	−	14.0360i	0.316155	−	0.547596i
$658$	16.4571	−	19.6249i	0.641564	−	0.765058i
$659$	29.1716	−	16.8423i	1.13637	−	0.656081i	0.190838	−	0.981622i	$-0.438880\pi$
$659$	29.1716	−	16.8423i	1.13637	−	0.656081i	0.945528	+	0.325540i	$0.105546\pi$
$660$	−0.00481716	−	0.0272227i	−0.000187508	−	0.00105964i
$661$	10.0236	+	17.3614i	0.389874	+	0.675281i	0.992432	−	0.122794i	$-0.0391853\pi$
$661$	10.0236	+	17.3614i	0.389874	+	0.675281i	−0.602559	+	0.798075i	$0.705852\pi$
$662$	31.5510	+	5.55342i	1.22627	+	0.215840i
$663$	0.197105	+	0.341395i	0.00765491	+	0.0132587i
$664$	−0.506600	−	0.875613i	−0.0196599	−	0.0339804i
$665$	2.05684			0.0797608
$666$	−7.36166	−	24.6953i	−0.285259	−	0.956922i
$667$			50.9061i			1.97109i
$668$	−4.41816	+	12.1618i	−0.170944	+	0.470554i
$669$	0.243803	−	0.140760i	0.00942596	−	0.00544208i
$670$	0.220245	−	1.25129i	0.00850881	−	0.0483417i
$671$	−14.6532	+	8.46002i	−0.565680	+	0.326595i
$672$	−0.989422	−	0.358419i	−0.0381678	−	0.0138263i
$673$	−9.91171	−	17.1676i	−0.382068	−	0.661761i	0.609290	−	0.792948i	$-0.291455\pi$
$673$	−9.91171	−	17.1676i	−0.382068	−	0.661761i	−0.991358	+	0.131186i	$0.958121\pi$
$674$	2.75891	−	3.28997i	0.106269	−	0.126725i
$675$	1.71662	+	0.991089i	0.0660726	+	0.0381470i
$676$	3.91081	+	22.1008i	0.150416	+	0.850029i
$677$			34.6863i			1.33310i	0.745459	+	0.666551i	$0.232230\pi$
$677$			34.6863i			1.33310i	−0.745459	+	0.666551i	$0.767770\pi$
$678$	−0.0183484	−	0.0503643i	−0.000704668	−	0.00193423i
$679$	38.1549	−	22.0287i	1.46425	−	0.845385i
$680$	−0.740674	+	1.28559i	−0.0284035	+	0.0493001i
$681$	−1.37967	−	0.796553i	−0.0528691	−	0.0305240i
$682$	6.12482	+	16.8119i	0.234531	+	0.643761i
$683$	−6.85996	+	11.8818i	−0.262489	+	0.454645i	−0.966903	−	0.255145i	$-0.917877\pi$
$683$	−6.85996	+	11.8818i	−0.262489	+	0.454645i	0.704414	+	0.709790i	$0.251210\pi$
$684$	−28.5849	+	24.0152i	−1.09297	+	0.918243i
$685$	0.733104	+	1.26977i	0.0280105	+	0.0485156i
$686$	−8.32336	−	22.8466i	−0.317787	−	0.872288i
$687$	−0.840708	+	1.45615i	−0.0320750	+	0.0555555i
$688$	−8.02489	+	45.8371i	−0.305946	+	1.74752i
$689$			4.35226i			0.165808i
$690$	0.0656001	+	0.0115465i	0.00249735	+	0.000439568i
$691$	−33.1616	−	19.1458i	−1.26153	−	0.728342i	−0.288156	−	0.957584i	$-0.593042\pi$
$691$	−33.1616	−	19.1458i	−1.26153	−	0.728342i	−0.973370	+	0.229241i	$0.926375\pi$
$692$	37.6656	−	6.66506i	1.43183	−	0.253367i
$693$		−	14.8936i		−	0.565763i
$694$	11.9857	+	32.8992i	0.454970	+	1.24884i
$695$		−	0.319673i		−	0.0121259i
$696$	1.58111	−	0.00144102i	0.0599317	−	5.46219e-5i
$697$		−	21.6414i		−	0.819727i
$698$	−2.17636	+	12.3647i	−0.0823763	+	0.468011i
$699$	−0.390658	+	0.225547i	−0.0147760	+	0.00853096i
$700$	−21.4223	+	17.9976i	−0.809687	+	0.680246i
$701$	−12.3847	+	21.4509i	−0.467763	+	0.810188i	−0.999321	−	0.0368329i	$-0.988273\pi$
$701$	−12.3847	+	21.4509i	−0.467763	+	0.810188i	0.531559	+	0.847021i	$0.321606\pi$
$702$	0.574401	+	0.481682i	0.0216794	+	0.0181799i
$703$	−20.8756	+	31.6379i	−0.787340	+	1.19324i
$704$	−12.2643	+	7.11062i	−0.462227	+	0.267992i
$705$	0.0436052	+	0.0251755i	0.00164227	+	0.000948164i
$706$	−6.08653	+	34.5798i	−0.229070	+	1.30143i
$707$	−10.3203	+	5.95841i	−0.388134	+	0.224089i
$708$	−0.863474	−	1.02778i	−0.0324514	−	0.0386263i
$709$	−33.6022			−1.26196			−0.630979	−	0.775800i	$-0.717346\pi$
$709$	−33.6022			−1.26196			−0.630979	+	0.775800i	$0.717346\pi$
$710$	−1.58781	−	0.279476i	−0.0595893	−	0.0104885i
$711$		−	17.9961i		−	0.674906i
$712$	5.29677	+	9.15499i	0.198505	+	0.343098i
$713$	−43.1104			−1.61450
$714$	0.753756	−	0.898845i	0.0282086	−	0.0336384i
$715$	−0.240737	−	0.138990i	−0.00900305	−	0.00519791i
$716$	−6.21929	+	5.22505i	−0.232426	+	0.195269i
$717$	0.433693			0.0161966
$718$	−14.4572	−	39.6834i	−0.539539	−	1.48097i
$719$	8.33594	−	14.4383i	0.310878	−	0.538456i	−0.667675	−	0.744453i	$-0.732710\pi$
$719$	8.33594	−	14.4383i	0.310878	−	0.538456i	0.978553	+	0.205997i	$0.0660436\pi$
$720$	−0.243100	+	1.38855i	−0.00905980	+	0.0517483i
$721$	16.7580	−	9.67522i	0.624100	−	0.360324i
$722$	27.6207	+	4.86162i	1.02794	+	0.180931i
$723$	−0.714745	+	1.23797i	−0.0265816	+	0.0460408i
$724$	−12.4306	+	34.2176i	−0.461981	+	1.27169i
$725$	21.0189	−	36.4057i	0.780621	−	1.35207i
$726$	−0.564721	−	0.473565i	−0.0209588	−	0.0175757i
$727$	−14.4106	+	8.31995i	−0.534458	+	0.308570i	−0.742830	−	0.669480i	$-0.766517\pi$
$727$	−14.4106	+	8.31995i	−0.534458	+	0.308570i	0.208372	+	0.978050i	$0.433184\pi$
$728$	−9.15890	+	5.29903i	−0.339451	+	0.196395i
$729$	26.7629			0.991218
$730$	−0.578398	+	0.689733i	−0.0214075	+	0.0255282i
$731$	−44.9229	−	25.9363i	−1.66153	−	0.959287i
$732$	−1.24681	+	0.220628i	−0.0460835	+	0.00815463i
$733$	37.0218	−	21.3745i	1.36743	−	0.789486i	0.376831	−	0.926282i	$-0.377014\pi$
$733$	37.0218	−	21.3745i	1.36743	−	0.789486i	0.990599	+	0.136796i	$0.0436804\pi$
$734$	−4.28087	+	5.10490i	−0.158010	+	0.188425i
$735$	−0.00588940	+	0.00340025i	−0.000217234	+	0.000125420i
$736$	−5.98229	−	33.6285i	−0.220510	−	1.23956i
$737$	6.76621	+	11.7194i	0.249236	+	0.431690i
$738$	−7.03841	−	19.3196i	−0.259087	−	0.711164i
$739$			9.95512i			0.366205i	0.983094	+	0.183103i	$0.0586140\pi$
$739$			9.95512i			0.366205i	−0.983094	+	0.183103i	$0.941386\pi$
$740$	0.164915	+	1.42168i	0.00606240	+	0.0522620i
$741$		−	0.550924i		−	0.0202387i
$742$	12.1688	−	4.43325i	0.446729	−	0.162750i
$743$	6.26254	+	10.8470i	0.229750	+	0.397939i	0.957734	−	0.287655i	$-0.0928757\pi$
$743$	6.26254	+	10.8470i	0.229750	+	0.397939i	−0.727984	+	0.685594i	$0.759542\pi$
$744$	0.00122035	+	1.33898i	4.47401e−5	+	0.0490893i
$745$	−1.43937	+	0.831019i	−0.0527344	+	0.0304462i
$746$	−37.5477	−	31.4868i	−1.37472	−	1.15282i
$747$	0.927856	−	0.535698i	0.0339485	−	0.0196002i
$748$	−2.75358	−	15.5610i	−0.100681	−	0.568968i
$749$	11.1061	+	6.41211i	0.405808	+	0.234293i
$750$	−0.0844103	−	0.0707850i	−0.00308223	−	0.00258470i
$751$	−36.9461			−1.34818			−0.674092	−	0.738647i	$-0.735465\pi$
$751$	−36.9461			−1.34818			−0.674092	+	0.738647i	$0.735465\pi$
$752$	4.45263	−	25.4328i	0.162371	−	0.927440i
$753$	0.742955	−	0.428945i	0.0270748	−	0.0156316i
$754$	10.2154	−	12.1818i	0.372024	−	0.443635i
$755$	0.351814	−	0.609359i	0.0128038	−	0.0221769i
$756$	0.761675	−	2.09665i	0.0277019	−	0.0762544i
$757$	−2.35067	+	4.07149i	−0.0854367	+	0.147981i	−0.905577	−	0.424181i	$-0.860562\pi$
$757$	−2.35067	+	4.07149i	−0.0854367	+	0.147981i	0.820141	+	0.572162i	$0.193895\pi$
$758$	6.80322	−	38.6516i	0.247104	−	1.40389i
$759$	−0.614399	+	0.354724i	−0.0223013	+	0.0128757i
$760$	1.79478	−	1.03840i	0.0651033	−	0.0376666i
$761$	−15.6146	+	27.0452i	−0.566027	+	0.980388i	0.430926	+	0.902387i	$0.358187\pi$
$761$	−15.6146	+	27.0452i	−0.566027	+	0.980388i	−0.996953	+	0.0780005i	$0.975146\pi$
$762$	−1.25784	+	0.458250i	−0.0455668	+	0.0166006i
$763$	26.4836			0.958770
$764$	7.93935	+	9.45008i	0.287236	+	0.341892i
$765$	−1.36086	−	0.785692i	−0.0492020	−	0.0284068i
$766$	14.9821	+	12.5638i	0.541327	+	0.453947i
$767$	−13.4975			−0.487366
$768$	−1.04431	+	0.186757i	−0.0376831	+	0.00673903i
$769$			29.9901i			1.08147i	0.841193	+	0.540735i	$0.181854\pi$
$769$			29.9901i			1.08147i	−0.841193	+	0.540735i	$0.818146\pi$
$770$	−0.143393	+	0.814667i	−0.00516751	+	0.0293586i
$771$	1.73875			0.0626195
$772$	−2.97125	−	3.53663i	−0.106938	−	0.127286i
$773$	0.804044	−	0.464215i	0.0289195	−	0.0166967i	−0.485471	−	0.874253i	$-0.661352\pi$
$773$	0.804044	−	0.464215i	0.0289195	−	0.0166967i	0.514390	+	0.857556i	$0.328018\pi$
$774$	−48.5386	−	8.54345i	−1.74468	−	0.307088i
$775$	30.8306	+	17.8000i	1.10747	+	0.639396i
$776$	22.1723	−	38.4845i	0.795939	−	1.38151i
$777$	0.0674657	−	1.12956i	0.00242032	−	0.0405227i
$778$	22.5981	−	26.9480i	0.810182	−	0.966133i
$779$	−15.1224	+	26.1927i	−0.541816	+	0.938452i
$780$	−0.0133810	−	0.0159272i	−0.000479116	−	0.000570285i
$781$	14.8711	−	8.58585i	0.532131	−	0.307226i
$782$	37.4983	+	6.60021i	1.34094	+	0.236023i
$783$			3.35158i			0.119776i
$784$	2.67411	+	2.23831i	0.0955039	+	0.0799397i
$785$			0.0480204i			0.00171392i
$786$	−1.40847	+	0.513125i	−0.0502383	+	0.0183025i
$787$		−	34.1150i		−	1.21607i	−0.793910	−	0.608035i	$-0.791958\pi$
$787$		−	34.1150i		−	1.21607i	0.793910	−	0.608035i	$-0.208042\pi$
$788$	33.0039	−	5.84015i	1.17571	−	0.208047i
$789$	−0.166006	−	0.0958437i	−0.00590998	−	0.00341213i
$790$	−0.173262	+	0.984368i	−0.00616440	+	0.0350222i
$791$			1.60385i			0.0570264i
$792$	−7.51906	−	12.9960i	−0.267178	−	0.461794i
$793$	−6.36577	+	11.0258i	−0.226055	+	0.391539i
$794$	−7.92745	+	2.88808i	−0.281335	+	0.102494i
$795$	0.0127304	+	0.0220498i	0.000451503	+	0.000782025i
$796$	−2.38200	−	2.83526i	−0.0844278	−	0.100493i
$797$	−22.3658	+	38.7387i	−0.792238	+	1.37220i	0.132340	+	0.991204i	$0.457751\pi$
$797$	−22.3658	+	38.7387i	−0.792238	+	1.37220i	−0.924578	+	0.380992i	$0.875582\pi$
$798$	−1.54036	+	0.561176i	−0.0545283	+	0.0198654i
$799$	24.9256	+	14.3908i	0.881804	+	0.509110i
$800$	−9.60674	+	26.5196i	−0.339650	+	0.937608i
$801$	−9.70122	+	5.60100i	−0.342776	+	0.197902i
$802$	19.1242	−	6.96723i	0.675300	−	0.246021i
$803$		−	9.58754i		−	0.338337i
$804$	0.176455	+	0.997182i	0.00622309	+	0.0351679i
$805$	−1.72599	−	0.996503i	−0.0608333	−	0.0351221i
$806$	10.3163	+	8.65105i	0.363376	+	0.304720i
$807$	0.464518	+	0.804569i	0.0163518	+	0.0283222i
$808$	−5.99724	+	10.4094i	−0.210982	+	0.366202i
$809$	−4.23943	+	2.44764i	−0.149050	+	0.0860543i	−0.572670	−	0.819786i	$-0.694093\pi$
$809$	−4.23943	+	2.44764i	−0.149050	+	0.0860543i	0.423620	+	0.905840i	$0.360759\pi$
$810$	−1.46823	−	0.258428i	−0.0515883	−	0.00908025i
$811$	28.7819	−	16.6172i	1.01067	−	0.583510i	0.0992810	−	0.995059i	$-0.468346\pi$
$811$	28.7819	−	16.6172i	1.01067	−	0.583510i	0.911387	+	0.411550i	$0.135012\pi$
$812$	−44.4654	−	16.1535i	−1.56043	−	0.566876i
$813$			1.20159i			0.0421417i
$814$	−11.0757	−	10.4740i	−0.388203	−	0.367113i
$815$	−0.633313			−0.0221840
$816$	0.203936	−	1.16486i	0.00713920	−	0.0407781i
$817$	36.2470	+	62.7817i	1.26812	+	2.19645i
$818$	0.118558	−	0.673570i	0.00414527	−	0.0235508i
$819$	−5.60339	−	9.70535i	−0.195798	−	0.339133i
$820$	0.198989	+	1.12453i	0.00694900	+	0.0392702i
$821$	−2.33361	+	1.34731i	−0.0814437	+	0.0470215i	−0.540169	−	0.841557i	$-0.681640\pi$
$821$	−2.33361	+	1.34731i	−0.0814437	+	0.0470215i	0.458725	+	0.888578i	$0.348306\pi$
$822$	−0.895458	−	0.750915i	−0.0312327	−	0.0261912i
$823$	−9.16810	+	15.8796i	−0.319580	+	0.553529i	−0.980400	−	0.197015i	$-0.936875\pi$
$823$	−9.16810	+	15.8796i	−0.319580	+	0.553529i	0.660821	+	0.750544i	$0.270208\pi$
$824$	9.73828	−	16.9028i	0.339249	−	0.588835i
$825$	0.585854			0.0203968
$826$	13.7487	+	37.7385i	0.478377	+	1.31309i
$827$	−5.76131	−	9.97889i	−0.200341	−	0.347000i	0.748298	−	0.663363i	$-0.230872\pi$
$827$	−5.76131	−	9.97889i	−0.200341	−	0.347000i	−0.948638	+	0.316363i	$0.897538\pi$
$828$	35.6218	−	6.30341i	1.23794	−	0.219059i
$829$	−23.7205	+	41.0851i	−0.823847	+	1.42694i	0.0789503	+	0.996879i	$0.474843\pi$
$829$	−23.7205	+	41.0851i	−0.823847	+	1.42694i	−0.902797	+	0.430066i	$0.858490\pi$
$830$	−0.0559103	+	0.0203689i	−0.00194068	+	0.000707016i
$831$	0.0830244	+	0.0479341i	0.00288008	+	0.00166282i
$832$	−5.31673	+	9.24774i	−0.184325	+	0.320608i
$833$	−3.36650	+	1.94365i	−0.116642	+	0.0673434i
$834$	0.0872177	+	0.239402i	0.00302010	+	0.00828982i
$835$	0.659159	+	0.380566i	0.0228111	+	0.0131700i
$836$	−7.54092	+	20.7578i	−0.260808	+	0.717922i
$837$	−2.83832			−0.0981067
$838$	−1.75849	+	9.99062i	−0.0607459	+	0.345120i
$839$	−0.161050	+	0.278947i	−0.00556007	+	0.00963033i	−0.868792	−	0.495177i	$-0.835103\pi$
$839$	−0.161050	+	0.278947i	−0.00556007	+	0.00963033i	0.863232	+	0.504807i	$0.168437\pi$
$840$	−0.0309018	+	0.0536363i	−0.00106621	+	0.00185063i
$841$	42.0797			1.45103
$842$	14.0197	+	38.4825i	0.483152	+	1.32619i
$843$	1.96930			0.0678263
$844$	−6.67730	−	7.94788i	−0.229842	−	0.273577i
$845$	1.32022			0.0454169
$846$	26.9317	+	4.74036i	0.925933	+	0.162977i
$847$	11.0260	+	19.0976i	0.378858	+	0.656202i
$848$	8.38019	−	10.0118i	0.287777	−	0.343807i
$849$	1.72248	+	0.994477i	0.0591155	+	0.0341303i
$850$	−24.0919	−	20.2030i	−0.826344	−	0.692957i
$851$	32.8457	−	16.4350i	1.12594	−	0.563383i
$852$	1.26536	−	0.223909i	0.0433504	−	0.00767100i
$853$	0.939582	−	1.62740i	0.0321707	−	0.0557212i	−0.849492	−	0.527602i	$-0.823091\pi$
$853$	0.939582	−	1.62740i	0.0321707	−	0.0557212i	0.881662	+	0.471881i	$0.156425\pi$
$854$	37.3121	+	6.56744i	1.27679	+	0.224733i
$855$	1.09804	+	1.90186i	0.0375521	+	0.0650422i
$856$	12.9282	−	0.0117828i	0.441877	−	0.000402728i
$857$		−	22.1967i		−	0.758225i	−0.925351	−	0.379112i	$-0.876229\pi$
$857$		−	22.1967i		−	0.758225i	0.925351	−	0.379112i	$-0.123771\pi$
$858$	0.218208	+	0.0384077i	0.00744951	+	0.00131122i
$859$	6.66292			0.227336			0.113668	−	0.993519i	$-0.463740\pi$
$859$	6.66292			0.227336			0.113668	+	0.993519i	$0.463740\pi$
$860$	2.57275	+	0.934636i	0.0877302	+	0.0318708i
$861$		−	0.902905i		−	0.0307709i
$862$	−30.6970	−	25.7420i	−1.04554	−	0.876775i
$863$	19.1729	−	33.2084i	0.652652	−	1.13043i	−0.329824	−	0.944042i	$-0.606990\pi$
$863$	19.1729	−	33.2084i	0.652652	−	1.13043i	0.982477	−	0.186385i	$-0.0596771\pi$
$864$	−0.393864	−	2.21404i	−0.0133995	−	0.0753233i
$865$		−	2.25001i		−	0.0765025i
$866$	4.65126	+	12.7672i	0.158056	+	0.433845i
$867$	0.165459	+	0.0955278i	0.00561928	+	0.00324429i
$868$	13.6797	−	37.6560i	0.464321	−	1.27813i
$869$	−5.32284	−	9.21942i	−0.180565	−	0.312748i
$870$	0.0161223	−	0.0915967i	0.000546597	−	0.00310542i
$871$	8.81832	+	5.09126i	0.298797	+	0.172511i
$872$	23.1093	−	13.3702i	0.782578	−	0.452773i
$873$	40.7377	+	23.5199i	1.37876	+	0.796029i
$874$	−40.7724	−	34.1910i	−1.37915	−	1.15653i
$875$	1.64809	+	2.85457i	0.0557155	+	0.0965020i
$876$	0.244978	−	0.674347i	0.00827705	−	0.0227841i
$877$		−	22.3937i		−	0.756182i	−0.925768	−	0.378091i	$-0.876581\pi$
$877$		−	22.3937i		−	0.756182i	0.925768	−	0.378091i	$-0.123419\pi$
$878$	−6.17350	−	5.17699i	−0.208346	−	0.174715i
$879$	0.304837	−	0.527994i	0.0102819	−	0.0178088i
$880$	0.286162	+	0.783261i	0.00964652	+	0.0264037i
$881$	1.89824	+	3.28784i	0.0639532	+	0.110770i	0.896229	−	0.443591i	$-0.146296\pi$
$881$	1.89824	+	3.28784i	0.0639532	+	0.110770i	−0.832276	+	0.554362i	$0.812962\pi$
$882$	−2.37319	+	2.83000i	−0.0799095	+	0.0952912i
$883$	−16.6281	−	28.8007i	−0.559581	−	0.969222i	−0.997531	−	0.0702232i	$-0.977629\pi$
$883$	−16.6281	−	28.8007i	−0.559581	−	0.969222i	0.437951	−	0.898999i	$-0.355704\pi$
$884$	−7.64883	−	9.10428i	−0.257258	−	0.306210i
$885$	−0.0683820	+	0.0394804i	−0.00229864	+	0.00132712i
$886$	23.2932	−	8.48603i	0.782549	−	0.285094i
$887$	−16.6114			−0.557756			−0.278878	−	0.960327i	$-0.589962\pi$
$887$	−16.6114			−0.557756			−0.278878	+	0.960327i	$0.589962\pi$
$888$	−0.511388	−	1.01970i	−0.0171611	−	0.0342189i
$889$	40.0560			1.34343
$890$	0.584572	−	0.212968i	0.0195949	−	0.00713870i
$891$	13.7512	−	7.93925i	0.460682	−	0.265975i
$892$	−6.50170	+	5.46231i	−0.217693	+	0.182892i
$893$	−20.1117	−	34.8346i	−0.673014	−	1.16569i
$894$	0.851209	−	1.01506i	0.0284687	−	0.0339486i
$895$	0.238903	+	0.413793i	0.00798566	+	0.0138316i
$896$	31.2720	+	5.44555i	1.04472	+	0.181923i
$897$	−0.266913	+	0.462307i	−0.00891197	+	0.0154360i
$898$	−15.8994	−	13.3329i	−0.530569	−	0.444926i
$899$			60.1946i			2.00760i
$900$	−28.0777	−	10.2001i	−0.935925	−	0.340005i
$901$	7.27697	+	12.6041i	0.242431	+	0.419903i
$902$	−9.32009	−	7.81566i	−0.310325	−	0.260233i
$903$	−1.87424	−	1.08209i	−0.0623707	−	0.0360097i
$904$	0.809705	+	1.39950i	0.0269304	+	0.0465468i
$905$	1.85456	+	1.07073i	0.0616478	+	0.0355924i
$906$	−0.0972185	+	0.552335i	−0.00322987	+	0.0183501i
$907$	6.18617	+	10.7148i	0.205409	+	0.355778i	0.950263	−	0.311449i	$-0.100814\pi$
$907$	6.18617	+	10.7148i	0.205409	+	0.355778i	−0.744854	+	0.667227i	$0.767481\pi$
$908$	45.1661	+	16.4080i	1.49889	+	0.544520i
$909$	−11.0189	−	6.36176i	−0.365474	−	0.211006i
$910$	0.213059	+	0.584821i	0.00706283	+	0.0193866i
$911$			7.60836i			0.252076i	0.992025	+	0.126038i	$0.0402262\pi$
$911$			7.60836i			0.252076i	−0.992025	+	0.126038i	$0.959774\pi$
$912$	−1.06079	+	1.26733i	−0.0351264	+	0.0419654i
$913$	0.316895	−	0.548877i	0.0104877	−	0.0181652i
$914$	−4.19326	−	3.51640i	−0.138701	−	0.116312i
$915$			0.0744800i			0.00246223i
$916$	17.3176	−	47.6698i	0.572189	−	1.57505i
$917$	44.8526			1.48116
$918$	2.46883	+	0.434547i	0.0814834	+	0.0143422i
$919$			28.8584i			0.951950i	0.879459	+	0.475975i	$0.157905\pi$
$919$			28.8584i			0.951950i	−0.879459	+	0.475975i	$0.842095\pi$
$920$	−2.00917	+	0.00183116i	−0.0662403	+	6.03715e-5i
$921$	−0.197380	−	0.341871i	−0.00650388	−	0.0112650i
$922$	19.7613	+	3.47825i	0.650802	+	0.114550i
$923$	6.46046	−	11.1898i	0.212649	−	0.368318i
$924$	−0.114883	−	0.649225i	−0.00377936	−	0.0213579i
$925$	−30.2757	−	1.80829i	−0.995458	−	0.0594562i
$926$	−12.9633	−	10.8708i	−0.426002	−	0.357237i
$927$	17.8924	+	10.3302i	0.587664	+	0.339288i
$928$	−46.9551	+	8.35301i	−1.54138	+	0.274201i
$929$	28.2239	+	48.8852i	0.925995	+	1.60387i	0.789953	+	0.613167i	$0.210105\pi$
$929$	28.2239	+	48.8852i	0.925995	+	1.60387i	0.136042	+	0.990703i	$0.456562\pi$
$930$	0.0775697	+	0.0136533i	0.00254361	+	0.000447710i
$931$	5.43266			0.178048
$932$	10.4180	−	8.75255i	0.341253	−	0.286699i
$933$	0.170723			0.00558923
$934$	−19.6764	−	54.0094i	−0.643831	−	1.76724i
$935$	−0.929560			−0.0303999
$936$	−9.78920	−	5.63991i	−0.319970	−	0.184346i
$937$	−19.8799	+	34.4331i	−0.649449	+	1.12488i	0.333806	+	0.942642i	$0.391667\pi$
$937$	−19.8799	+	34.4331i	−0.649449	+	1.12488i	−0.983255	+	0.182237i	$0.941666\pi$
$938$	5.25254	−	29.8417i	0.171502	−	0.974365i
$939$	−2.11071			−0.0688806
$940$	−1.42750	−	0.518585i	−0.0465599	−	0.0169144i
$941$	−25.3211	−	14.6191i	−0.825443	−	0.476570i	0.0268470	−	0.999640i	$-0.491453\pi$
$941$	−25.3211	−	14.6191i	−0.825443	−	0.476570i	−0.852290	+	0.523070i	$0.824787\pi$
$942$	−0.0131016	−	0.0359623i	−0.000426873	−	0.00117172i
$943$	25.3798	−	14.6531i	0.826481	−	0.477169i
$944$	31.0492	+	25.9891i	1.01057	+	0.845874i
$945$	−0.113637	−	0.0656081i	−0.00369660	−	0.00213423i
$946$	−27.3933	+	9.97978i	−0.890634	+	0.324471i
$947$	13.5486	−	23.4669i	0.440272	−	0.762573i	−0.557438	−	0.830219i	$-0.688215\pi$
$947$	13.5486	−	23.4669i	0.440272	−	0.762573i	0.997709	+	0.0676457i	$0.0215488\pi$
$948$	−0.138813	−	0.784463i	−0.00450845	−	0.0254782i
$949$	−3.60709	−	6.24766i	−0.117091	−	0.202808i
$950$	15.0413	+	41.2865i	0.488003	+	1.33951i
$951$	−0.847451			−0.0274805
$952$	−17.6641	+	30.6595i	−0.572495	+	0.993681i
$953$	−4.67199	+	8.09212i	−0.151341	+	0.262130i	−0.931721	−	0.363176i	$-0.881692\pi$
$953$	−4.67199	+	8.09212i	−0.151341	+	0.262130i	0.780380	+	0.625306i	$0.215026\pi$
$954$	10.5955	+	8.88517i	0.343041	+	0.287668i
$955$	0.628750	−	0.363009i	0.0203459	−	0.0117467i
$956$	−12.8817	+	2.27947i	−0.416625	+	0.0737232i
$957$	0.495297	+	0.857880i	0.0160107	+	0.0277313i
$958$	−7.11139	+	40.4025i	−0.229759	+	1.30534i
$959$	17.4835	+	30.2824i	0.564573	+	0.977869i
$960$	0.000113749		0.0624032i	3.67123e−6		0.00201405i
$961$	−19.9764			−0.644402
$962$	−11.1580	−	2.65835i	−0.359748	−	0.0857086i
$963$			13.6923i			0.441230i
$964$	14.7229	−	40.5274i	0.474193	−	1.30530i
$965$	−0.235305	+	0.135854i	−0.00757475	+	0.00437328i
$966$	1.56447	+	0.275369i	0.0503361	+	0.00885984i
$967$	48.6874	−	28.1097i	1.56568	−	0.903947i	0.569018	−	0.822325i	$-0.307323\pi$
$967$	48.6874	−	28.1097i	1.56568	−	0.903947i	0.996663	−	0.0816217i	$-0.0260099\pi$
$968$	19.2626	+	11.0979i	0.619123	+	0.356699i
$969$	−0.921144	−	1.59547i	−0.0295914	−	0.0512538i
$970$	−2.00187	−	1.67873i	−0.0642761	−	0.0539008i
$971$	46.6750	+	26.9478i	1.49787	+	0.864796i	0.999997	−	0.00245303i	$-0.000780824\pi$
$971$	46.6750	+	26.9478i	1.49787	+	0.864796i	0.497874	+	0.867249i	$0.334114\pi$
$972$	3.51879	−	0.622662i	0.112865	−	0.0199719i
$973$		−	7.62376i		−	0.244407i
$974$	47.3228	−	17.2404i	1.51632	−	0.552417i
$975$	0.381768	−	0.220414i	0.0122264	−	0.00705889i
$976$	35.8736	−	13.1063i	1.14829	−	0.419523i
$977$	−41.6623	−	24.0537i	−1.33289	−	0.769547i	−0.347152	−	0.937809i	$-0.612851\pi$
$977$	−41.6623	−	24.0537i	−1.33289	−	0.769547i	−0.985742	+	0.168262i	$0.946185\pi$
$978$	0.474287	−	0.172790i	0.0151660	−	0.00552520i
$979$	−3.31330	+	5.73880i	−0.105893	+	0.183413i
$980$	0.157058	−	0.131950i	0.00501702	−	0.00421498i
$981$	14.1382	+	24.4880i	0.451397	+	0.781843i
$982$	−28.5827	+	10.4131i	−0.912110	+	0.332295i
$983$	−0.144476	+	0.250239i	−0.00460806	+	0.00798139i	−0.868320	−	0.496004i	$-0.834800\pi$
$983$	−0.144476	+	0.250239i	−0.00460806	+	0.00798139i	0.863712	+	0.503985i	$0.168133\pi$
$984$	−0.455832	−	0.787864i	−0.0145314	−	0.0251162i
$985$		−	1.97153i		−	0.0628183i
$986$	9.21581	−	52.3585i	0.293491	−	1.66743i
$987$	1.03993	+	0.600401i	0.0331012	+	0.0191110i
$988$	2.89563	+	16.3638i	0.0921221	+	0.520601i
$989$		−	70.2441i		−	2.23363i
$990$	−0.829832	+	0.302320i	−0.0263738	+	0.00960835i
$991$			14.7001i			0.466964i	0.972361	+	0.233482i	$0.0750121\pi$
$991$			14.7001i			0.466964i	−0.972361	+	0.233482i	$0.924988\pi$
$992$	−7.07383	−	39.7644i	−0.224594	−	1.26252i
$993$			1.50199i			0.0476643i
$994$	−37.8670	−	6.66512i	−1.20107	−	0.211405i
$995$	−0.188640	+	0.108912i	−0.00598031	+	0.00345273i
$996$	0.0363138	−	0.0305085i	0.00115065	−	0.000966699i
$997$	4.47953	−	7.75877i	0.141868	−	0.245723i	−0.786332	−	0.617804i	$-0.788022\pi$
$997$	4.47953	−	7.75877i	0.141868	−	0.245723i	0.928200	+	0.372081i	$0.121356\pi$
$998$	−11.6117	+	13.8468i	−0.367561	+	0.438313i
$999$	2.16251	−	1.08205i	0.0684188	−	0.0342346i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.14	yes	72
4.3	odd	2		1184.2.y.a.1137.18		72
8.3	odd	2		1184.2.y.a.1137.19		72
8.5	even	2	inner	296.2.q.a.101.1	yes	72
37.11	even	6	inner	296.2.q.a.85.1	✓	72
148.11	odd	6		1184.2.y.a.529.19		72
296.11	odd	6		1184.2.y.a.529.18		72
296.85	even	6	inner	296.2.q.a.85.14	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.1	✓	72	37.11	even	6	inner
296.2.q.a.85.14	yes	72	296.85	even	6	inner
296.2.q.a.101.1	yes	72	8.5	even	2	inner
296.2.q.a.101.14	yes	72	1.1	even	1	trivial
1184.2.y.a.529.18		72	296.11	odd	6
1184.2.y.a.529.19		72	148.11	odd	6
1184.2.y.a.1137.18		72	4.3	odd	2
1184.2.y.a.1137.19		72	8.3	odd	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:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.484093 - 1.32878i) q^{2} +(0.0574215 - 0.0331523i) q^{3} +(-1.53131 + 1.28651i) q^{4} +(0.0588225 + 0.101884i) q^{5} +(-0.0718494 - 0.0602516i) q^{6} +(1.40284 + 2.42979i) q^{7} +(2.45078 + 1.41198i) q^{8} +(-1.49780 + 2.59427i) q^{9} +(0.106905 - 0.127483i) q^{10} +1.77206i q^{11} +(-0.0452793 + 0.124639i) q^{12} +(0.666698 + 1.15475i) q^{13} +(2.54954 - 3.04030i) q^{14} +(0.00675535 + 0.00390021i) q^{15} +(0.689805 - 3.94007i) q^{16} +(3.86149 + 2.22943i) q^{17} +(4.17229 + 0.734380i) q^{18} +(-3.11573 - 5.39660i) q^{19} +(-0.221149 - 0.0803396i) q^{20} +(0.161106 + 0.0930146i) q^{21} +(2.35468 - 0.857844i) q^{22} +6.03806i q^{23} +(0.187538 - 0.000170922i) q^{24} +(2.49308 - 4.31814i) q^{25} +(1.21167 - 1.44490i) q^{26} +0.397536i q^{27} +(-5.27411 - 1.91599i) q^{28} +8.43088 q^{29} +(0.00191229 - 0.0108644i) q^{30} +7.13978i q^{31} +(-5.56942 + 0.990764i) q^{32} +(0.0587480 + 0.101754i) q^{33} +(1.09310 - 6.21032i) q^{34} +(-0.165037 + 0.285852i) q^{35} +(-1.04395 - 5.89955i) q^{36} +(-2.72190 - 5.43979i) q^{37} +(-5.66258 + 6.75257i) q^{38} +(0.0765655 + 0.0442051i) q^{39} +(0.000303269 + 0.332750i) q^{40} +(-2.42678 - 4.20331i) q^{41} +(0.0456055 - 0.259102i) q^{42} -11.6336 q^{43} +(-2.27977 - 2.71357i) q^{44} -0.352418 q^{45} +(8.02324 - 2.92298i) q^{46} +6.45491 q^{47} +(-0.0910128 - 0.249113i) q^{48} +(-0.435906 + 0.755012i) q^{49} +(-6.94474 - 1.22237i) q^{50} +0.295643 q^{51} +(-2.50652 - 0.910574i) q^{52} +(2.82675 + 1.63202i) q^{53} +(0.528238 - 0.192445i) q^{54} +(-0.180544 + 0.104237i) q^{55} +(0.00723256 + 7.93564i) q^{56} +(-0.357819 - 0.206587i) q^{57} +(-4.08133 - 11.2028i) q^{58} +(-5.06132 + 8.76647i) q^{59} +(-0.0153622 + 0.00271839i) q^{60} +(4.77411 + 8.26900i) q^{61} +(9.48719 - 3.45632i) q^{62} -8.40469 q^{63} +(4.01262 + 6.92090i) q^{64} +(-0.0784337 + 0.135851i) q^{65} +(0.106770 - 0.127322i) q^{66} +(6.61343 - 3.81827i) q^{67} +(-8.78131 + 1.55388i) q^{68} +(0.200175 + 0.346714i) q^{69} +(0.459728 + 0.0809184i) q^{70} +(-4.84512 - 8.39199i) q^{71} +(-7.33384 + 4.24311i) q^{72} -5.41038 q^{73} +(-5.91062 + 6.25016i) q^{74} -0.330605i q^{75} +(11.7139 + 4.25545i) q^{76} +(-4.30573 + 2.48592i) q^{77} +(0.0216740 - 0.123138i) q^{78} +(-5.20265 + 3.00375i) q^{79} +(0.442005 - 0.161485i) q^{80} +(-4.48023 - 7.75998i) q^{81} +(-4.41048 + 5.25945i) q^{82} +(-0.309739 - 0.178828i) q^{83} +(-0.366367 + 0.0648299i) q^{84} +0.524564i q^{85} +(5.63173 + 15.4584i) q^{86} +(0.484113 - 0.279503i) q^{87} +(-2.50212 + 4.34293i) q^{88} +(3.23848 + 1.86974i) q^{89} +(0.170603 + 0.468286i) q^{90} +(-1.87054 + 3.23987i) q^{91} +(-7.76800 - 9.24612i) q^{92} +(0.236700 + 0.409977i) q^{93} +(-3.12478 - 8.57715i) q^{94} +(0.366550 - 0.634883i) q^{95} +(-0.286958 + 0.241530i) q^{96} -15.7030i q^{97} +(1.21426 + 0.213727i) q^{98} +(-4.59721 - 2.65420i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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