LMFDB - Embedded newform 570.2.n.a.449.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(179,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1]))

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

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

chi := DirichletCharacter("570.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.n (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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			449.10
Character	$\chi$	$=$	570.449
Dual form			570.2.n.a.179.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(-0.105626 - 1.72883i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.264142 - 2.22041i) q^{5} +(0.955888 + 1.44440i) q^{6} -2.53373i q^{7} +1.00000i q^{8} +(-2.97769 + 0.365218i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.105626 - 1.72883i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.264142 - 2.22041i) q^{5} +(0.955888 + 1.44440i) q^{6} -2.53373i q^{7} +1.00000i q^{8} +(-2.97769 + 0.365218i) q^{9} +(1.33896 + 1.79086i) q^{10} +0.736692i q^{11} +(-1.55002 - 0.772939i) q^{12} +(2.38601 - 4.13269i) q^{13} +(1.26686 + 2.19427i) q^{14} +(-3.81081 + 0.691189i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.03960 + 1.80064i) q^{17} +(2.39614 - 1.80513i) q^{18} +(0.713722 - 4.30007i) q^{19} +(-2.05500 - 0.881452i) q^{20} +(-4.38038 + 0.267628i) q^{21} +(-0.368346 - 0.637994i) q^{22} +(-3.12477 + 5.41225i) q^{23} +(1.72883 - 0.105626i) q^{24} +(-4.86046 + 1.17301i) q^{25} +4.77202i q^{26} +(0.945920 + 5.10933i) q^{27} +(-2.19427 - 1.26686i) q^{28} +(1.30852 - 2.26642i) q^{29} +(2.95466 - 2.50399i) q^{30} +5.26487i q^{31} +(0.866025 + 0.500000i) q^{32} +(1.27361 - 0.0778138i) q^{33} +(-1.80064 - 1.03960i) q^{34} +(-5.62592 + 0.669264i) q^{35} +(-1.17255 + 2.76136i) q^{36} -10.3010 q^{37} +(1.53193 + 4.08083i) q^{38} +(-7.39673 - 3.68848i) q^{39} +(2.22041 - 0.264142i) q^{40} +(1.22616 + 2.12377i) q^{41} +(3.65970 - 2.42196i) q^{42} +(7.46202 - 4.30820i) q^{43} +(0.637994 + 0.368346i) q^{44} +(1.59747 + 6.51522i) q^{45} -6.24953i q^{46} +(-0.809291 + 1.40173i) q^{47} +(-1.44440 + 0.955888i) q^{48} +0.580221 q^{49} +(3.62278 - 3.44608i) q^{50} +(3.00319 - 1.98749i) q^{51} +(-2.38601 - 4.13269i) q^{52} +(-11.0525 - 6.38115i) q^{53} +(-3.37385 - 3.95185i) q^{54} +(1.63576 - 0.194591i) q^{55} +2.53373 q^{56} +(-7.50946 - 0.779703i) q^{57} +2.61704i q^{58} +(-2.59700 - 4.49814i) q^{59} +(-1.30682 + 3.64585i) q^{60} +(5.07194 - 8.78486i) q^{61} +(-2.63243 - 4.55951i) q^{62} +(0.925364 + 7.54465i) q^{63} -1.00000 q^{64} +(-9.80651 - 4.20630i) q^{65} +(-1.06407 + 0.704195i) q^{66} +(-2.74400 + 4.75275i) q^{67} +2.07920 q^{68} +(9.68690 + 4.83050i) q^{69} +(4.53756 - 3.39256i) q^{70} +(0.182067 + 0.315350i) q^{71} +(-0.365218 - 2.97769i) q^{72} +(-2.05162 + 1.18451i) q^{73} +(8.92092 - 5.15050i) q^{74} +(2.54132 + 8.27899i) q^{75} +(-3.36711 - 2.76814i) q^{76} +1.86658 q^{77} +(8.24999 - 0.504049i) q^{78} +(-0.280369 + 0.161871i) q^{79} +(-1.79086 + 1.33896i) q^{80} +(8.73323 - 2.17501i) q^{81} +(-2.12377 - 1.22616i) q^{82} +12.6729 q^{83} +(-1.95842 + 3.92733i) q^{84} +(3.72357 - 2.78397i) q^{85} +(-4.30820 + 7.46202i) q^{86} +(-4.05646 - 2.02281i) q^{87} -0.736692 q^{88} +(6.18913 - 10.7199i) q^{89} +(-4.64106 - 4.84361i) q^{90} +(-10.4711 - 6.04550i) q^{91} +(3.12477 + 5.41225i) q^{92} +(9.10205 - 0.556107i) q^{93} -1.61858i q^{94} +(-9.73645 - 0.448927i) q^{95} +(0.772939 - 1.55002i) q^{96} +(5.90419 + 10.2264i) q^{97} +(-0.502487 + 0.290111i) q^{98} +(-0.269053 - 2.19364i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 40 q^{4}+O(q^{10}) $ 80 * q + 40 * q^4	$ 80 q + 40 q^{4} + 30 q^{15} - 40 q^{16} + 8 q^{19} + 8 q^{25} - 4 q^{30} + 48 q^{39} + 12 q^{45} - 128 q^{49} - 36 q^{54} + 12 q^{55} + 30 q^{60} - 24 q^{61} - 80 q^{64} + 4 q^{66} + 36 q^{70} + 16 q^{76} + 24 q^{79} + 32 q^{81} - 8 q^{85} - 54 q^{90} + 24 q^{91} - 60 q^{99}+O(q^{100}) $ 80 * q + 40 * q^4 + 30 * q^15 - 40 * q^16 + 8 * q^19 + 8 * q^25 - 4 * q^30 + 48 * q^39 + 12 * q^45 - 128 * q^49 - 36 * q^54 + 12 * q^55 + 30 * q^60 - 24 * q^61 - 80 * q^64 + 4 * q^66 + 36 * q^70 + 16 * q^76 + 24 * q^79 + 32 * q^81 - 8 * q^85 - 54 * q^90 + 24 * q^91 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−0.105626	−	1.72883i	−0.0609832	−	0.998139i
$3$	−0.105626	−	1.72883i	−0.0609832	−	0.998139i
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−0.264142	−	2.22041i	−0.118128	−	0.992998i
$5$	−0.264142	−	2.22041i	−0.118128	−	0.992998i
$6$	0.955888	+	1.44440i	0.390240	+	0.589672i
$7$		−	2.53373i		−	0.957659i	−0.877908	−	0.478830i	$-0.841061\pi$
$7$		−	2.53373i		−	0.957659i	0.877908	−	0.478830i	$-0.158939\pi$
$8$			1.00000i			0.353553i
$9$	−2.97769	+	0.365218i	−0.992562	+	0.121739i
$10$	1.33896	+	1.79086i	0.423416	+	0.566320i
$11$			0.736692i			0.222121i	0.993814	+	0.111060i	$0.0354247\pi$
$11$			0.736692i			0.222121i	−0.993814	+	0.111060i	$0.964575\pi$
$12$	−1.55002	−	0.772939i	−0.447453	−	0.223128i
$13$	2.38601	−	4.13269i	0.661760	−	1.14620i	−0.318393	−	0.947959i	$-0.603143\pi$
$13$	2.38601	−	4.13269i	0.661760	−	1.14620i	0.980153	−	0.198243i	$-0.0635234\pi$
$14$	1.26686	+	2.19427i	0.338584	+	0.586444i
$15$	−3.81081	+	0.691189i	−0.983946	+	0.178464i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	1.03960	+	1.80064i	0.252141	+	0.436720i	0.964115	−	0.265485i	$-0.0855321\pi$
$17$	1.03960	+	1.80064i	0.252141	+	0.436720i	−0.711974	+	0.702205i	$0.752199\pi$
$18$	2.39614	−	1.80513i	0.564776	−	0.425474i
$19$	0.713722	−	4.30007i	0.163739	−	0.986504i
$19$	0.713722	−	4.30007i	0.163739	−	0.986504i
$20$	−2.05500	−	0.881452i	−0.459513	−	0.197099i
$21$	−4.38038	+	0.267628i	−0.955877	+	0.0584011i
$22$	−0.368346	−	0.637994i	−0.0785316	−	0.136021i
$23$	−3.12477	+	5.41225i	−0.651559	+	1.12853i	0.331186	+	0.943565i	$0.392551\pi$
$23$	−3.12477	+	5.41225i	−0.651559	+	1.12853i	−0.982745	+	0.184967i	$0.940782\pi$
$24$	1.72883	−	0.105626i	0.352895	−	0.0215608i
$25$	−4.86046	+	1.17301i	−0.972092	+	0.234602i
$26$			4.77202i			0.935870i
$27$	0.945920	+	5.10933i	0.182042	+	0.983291i
$28$	−2.19427	−	1.26686i	−0.414679	−	0.239415i
$29$	1.30852	−	2.26642i	0.242986	−	0.420863i	−0.718578	−	0.695447i	$-0.755207\pi$
$29$	1.30852	−	2.26642i	0.242986	−	0.420863i	0.961563	+	0.274583i	$0.0885399\pi$
$30$	2.95466	−	2.50399i	0.539445	−	0.457164i
$31$			5.26487i			0.945598i	0.881170	+	0.472799i	$0.156756\pi$
$31$			5.26487i			0.945598i	−0.881170	+	0.472799i	$0.843244\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	1.27361	−	0.0778138i	0.221707	−	0.0135456i
$34$	−1.80064	−	1.03960i	−0.308808	−	0.178290i
$35$	−5.62592	+	0.669264i	−0.950954	+	0.113126i
$36$	−1.17255	+	2.76136i	−0.195426	+	0.460227i
$37$	−10.3010			−1.69347			−0.846737	−	0.532012i	$-0.821436\pi$
$37$	−10.3010			−1.69347			−0.846737	+	0.532012i	$0.821436\pi$
$38$	1.53193	+	4.08083i	0.248512	+	0.661998i
$39$	−7.39673	−	3.68848i	−1.18442	−	0.590629i
$40$	2.22041	−	0.264142i	0.351078	−	0.0417645i
$41$	1.22616	+	2.12377i	0.191494	+	0.331677i	0.945746	−	0.324908i	$-0.105333\pi$
$41$	1.22616	+	2.12377i	0.191494	+	0.331677i	−0.754252	+	0.656585i	$0.772000\pi$
$42$	3.65970	−	2.42196i	0.564705	−	0.373717i
$43$	7.46202	−	4.30820i	1.13795	−	0.656995i	0.192026	−	0.981390i	$-0.438494\pi$
$43$	7.46202	−	4.30820i	1.13795	−	0.656995i	0.945922	+	0.324395i	$0.105161\pi$
$44$	0.637994	+	0.368346i	0.0961811	+	0.0555302i
$45$	1.59747	+	6.51522i	0.238136	+	0.971232i
$46$		−	6.24953i		−	0.921443i
$47$	−0.809291	+	1.40173i	−0.118047	+	0.204464i	−0.918994	−	0.394272i	$-0.870997\pi$
$47$	−0.809291	+	1.40173i	−0.118047	+	0.204464i	0.800947	+	0.598736i	$0.204330\pi$
$48$	−1.44440	+	0.955888i	−0.208480	+	0.137971i
$49$	0.580221			0.0828888
$50$	3.62278	−	3.44608i	0.512338	−	0.487350i
$51$	3.00319	−	1.98749i	0.420531	−	0.278304i
$52$	−2.38601	−	4.13269i	−0.330880	−	0.573101i
$53$	−11.0525	−	6.38115i	−1.51818	−	0.876519i	−0.999771	−	0.0213828i	$-0.993193\pi$
$53$	−11.0525	−	6.38115i	−1.51818	−	0.876519i	−0.518404	−	0.855136i	$-0.673474\pi$
$54$	−3.37385	−	3.95185i	−0.459124	−	0.537778i
$55$	1.63576	−	0.194591i	0.220566	−	0.0262387i
$56$	2.53373			0.338584
$57$	−7.50946	−	0.779703i	−0.994653	−	0.103274i
$58$			2.61704i			0.343634i
$59$	−2.59700	−	4.49814i	−0.338101	−	0.585609i	0.645974	−	0.763359i	$-0.276451\pi$
$59$	−2.59700	−	4.49814i	−0.338101	−	0.585609i	−0.984076	+	0.177751i	$0.943118\pi$
$60$	−1.30682	+	3.64585i	−0.168709	+	0.470677i
$61$	5.07194	−	8.78486i	0.649396	−	1.12479i	−0.333872	−	0.942619i	$-0.608355\pi$
$61$	5.07194	−	8.78486i	0.649396	−	1.12479i	0.983267	−	0.182168i	$-0.0583114\pi$
$62$	−2.63243	−	4.55951i	−0.334319	−	0.579058i
$63$	0.925364	+	7.54465i	0.116585	+	0.950536i
$64$	−1.00000			−0.125000
$65$	−9.80651	−	4.20630i	−1.21635	−	0.521728i
$66$	−1.06407	+	0.704195i	−0.130978	+	0.0866804i
$67$	−2.74400	+	4.75275i	−0.335233	+	0.580641i	−0.983530	−	0.180747i	$-0.942148\pi$
$67$	−2.74400	+	4.75275i	−0.335233	+	0.580641i	0.648296	+	0.761388i	$0.275482\pi$
$68$	2.07920			0.252141
$69$	9.68690	+	4.83050i	1.16617	+	0.581524i
$70$	4.53756	−	3.39256i	0.542342	−	0.405488i
$71$	0.182067	+	0.315350i	0.0216074	+	0.0374251i	0.876627	−	0.481171i	$-0.159788\pi$
$71$	0.182067	+	0.315350i	0.0216074	+	0.0374251i	−0.855020	+	0.518596i	$0.826455\pi$
$72$	−0.365218	−	2.97769i	−0.0430414	−	0.350924i
$73$	−2.05162	+	1.18451i	−0.240124	+	0.138636i	−0.615234	−	0.788345i	$-0.710938\pi$
$73$	−2.05162	+	1.18451i	−0.240124	+	0.138636i	0.375110	+	0.926981i	$0.377605\pi$
$74$	8.92092	−	5.15050i	1.03704	−	0.598733i
$75$	2.54132	+	8.27899i	0.293446	+	0.955976i
$76$	−3.36711	−	2.76814i	−0.386234	−	0.317527i
$77$	1.86658			0.212716
$78$	8.24999	−	0.504049i	0.934128	−	0.0570723i
$79$	−0.280369	+	0.161871i	−0.0315440	+	0.0182119i	−0.515689	−	0.856776i	$-0.672464\pi$
$79$	−0.280369	+	0.161871i	−0.0315440	+	0.0182119i	0.484145	+	0.874988i	$0.339131\pi$
$80$	−1.79086	+	1.33896i	−0.200224	+	0.149700i
$81$	8.73323	−	2.17501i	0.970359	−	0.241668i
$82$	−2.12377	−	1.22616i	−0.234531	−	0.135407i
$83$	12.6729			1.39103			0.695515	−	0.718512i	$-0.255176\pi$
$83$	12.6729			1.39103			0.695515	+	0.718512i	$0.255176\pi$
$84$	−1.95842	+	3.92733i	−0.213681	+	0.428507i
$85$	3.72357	−	2.78397i	0.403878	−	0.301964i
$86$	−4.30820	+	7.46202i	−0.464565	+	0.804651i
$87$	−4.05646	−	2.02281i	−0.434898	−	0.216868i
$88$	−0.736692			−0.0785316
$89$	6.18913	−	10.7199i	0.656046	−	1.13631i	−0.325584	−	0.945513i	$-0.605561\pi$
$89$	6.18913	−	10.7199i	0.656046	−	1.13631i	0.981630	−	0.190792i	$-0.0611057\pi$
$90$	−4.64106	−	4.84361i	−0.489210	−	0.510562i
$91$	−10.4711	−	6.04550i	−1.09767	−	0.633740i
$92$	3.12477	+	5.41225i	0.325779	+	0.564266i
$93$	9.10205	−	0.556107i	0.943838	−	0.0576656i
$94$		−	1.61858i		−	0.166944i
$95$	−9.73645	−	0.448927i	−0.998939	−	0.0460590i
$96$	0.772939	−	1.55002i	0.0788877	−	0.158198i
$97$	5.90419	+	10.2264i	0.599480	+	1.03833i	0.992898	+	0.118970i	$0.0379592\pi$
$97$	5.90419	+	10.2264i	0.599480	+	1.03833i	−0.393418	+	0.919360i	$0.628707\pi$
$98$	−0.502487	+	0.290111i	−0.0507588	+	0.0293056i
$99$	−0.269053	−	2.19364i	−0.0270409	−	0.220469i
$100$	−1.41437	+	4.79578i	−0.141437	+	0.479578i
$101$	−13.1130	−	7.57082i	−1.30480	−	0.753325i	−0.323574	−	0.946203i	$-0.604884\pi$
$101$	−13.1130	−	7.57082i	−1.30480	−	0.753325i	−0.981223	+	0.192878i	$0.938218\pi$
$102$	−1.60710	+	3.22281i	−0.159126	+	0.319106i
$103$	6.38269			0.628905			0.314453	−	0.949273i	$-0.398179\pi$
$103$	6.38269			0.628905			0.314453	+	0.949273i	$0.398179\pi$
$104$	4.13269	+	2.38601i	0.405243	+	0.233967i
$105$	1.75129	+	9.65555i	0.170908	+	0.942285i
$106$	12.7623			1.23958
$107$		−	3.06876i		−	0.296668i	−0.988937	−	0.148334i	$-0.952609\pi$
$107$		−	3.06876i		−	0.296668i	0.988937	−	0.148334i	$-0.0473911\pi$
$108$	4.89777	+	1.73547i	0.471288	+	0.166996i
$109$	4.74852	−	2.74156i	0.454826	−	0.262594i	−0.255040	−	0.966930i	$-0.582089\pi$
$109$	4.74852	−	2.74156i	0.454826	−	0.262594i	0.709866	+	0.704337i	$0.248755\pi$
$110$	−1.31931	+	0.986400i	−0.125792	+	0.0940496i
$111$	1.08805	+	17.8086i	0.103273	+	1.69032i
$112$	−2.19427	+	1.26686i	−0.207339	+	0.119707i
$113$		−	3.44589i		−	0.324162i	−0.986777	−	0.162081i	$-0.948179\pi$
$113$		−	3.44589i		−	0.324162i	0.986777	−	0.162081i	$-0.0518205\pi$
$114$	6.89324	−	3.07949i	0.645611	−	0.288421i
$115$	12.8428	+	5.50866i	1.19760	+	0.513685i
$116$	−1.30852	−	2.26642i	−0.121493	−	0.210432i
$117$	−5.59545	+	13.1773i	−0.517300	+	1.21824i
$118$	4.49814	+	2.59700i	0.414088	+	0.239074i
$119$	4.56234	−	2.63407i	0.418229	−	0.241465i
$120$	−0.691189	−	3.81081i	−0.0630967	−	0.347878i
$121$	10.4573			0.950662
$122$			10.1439i			0.918384i
$123$	3.54212	−	2.34414i	0.319382	−	0.211364i
$124$	4.55951	+	2.63243i	0.409456	+	0.236400i
$125$	3.88841	+	10.4824i	0.347790	+	0.937572i
$126$	−4.57371	−	6.07117i	−0.407459	−	0.540863i
$127$	−5.90757	+	10.2322i	−0.524212	+	0.907962i	0.475391	+	0.879775i	$0.342307\pi$
$127$	−5.90757	+	10.2322i	−0.524212	+	0.907962i	−0.999603	+	0.0281869i	$0.991027\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−8.23632	−	12.4455i	−0.725168	−	1.09576i
$130$	10.5958	−	1.26049i	0.929317	−	0.110552i
$131$	−12.9619	+	7.48358i	−1.13249	+	0.653844i	−0.944560	−	0.328339i	$-0.893511\pi$
$131$	−12.9619	+	7.48358i	−1.13249	+	0.653844i	−0.187930	+	0.982182i	$0.560178\pi$
$132$	0.569417	−	1.14189i	0.0495614	−	0.0993885i
$133$	−10.8952	−	1.80838i	−0.944734	−	0.156806i
$134$		−	5.48800i		−	0.474091i
$135$	11.0950	−	3.44992i	0.954902	−	0.296922i
$136$	−1.80064	+	1.03960i	−0.154404	+	0.0891451i
$137$	10.8434	−	18.7813i	0.926416	−	1.60460i	0.137147	−	0.990551i	$-0.456207\pi$
$137$	10.8434	−	18.7813i	0.926416	−	1.60460i	0.789269	−	0.614048i	$-0.210460\pi$
$138$	−10.8044	+	0.660113i	−0.919728	+	0.0561925i
$139$	6.33726	−	10.9765i	0.537519	−	0.931011i	−0.461517	−	0.887131i	$-0.652695\pi$
$139$	6.33726	−	10.9765i	0.537519	−	0.931011i	0.999037	−	0.0438798i	$-0.0139719\pi$
$140$	−2.23336	+	5.20682i	−0.188753	+	0.440057i
$141$	2.50884	+	1.25106i	0.211282	+	0.105359i
$142$	−0.315350	−	0.182067i	−0.0264636	−	0.0152787i
$143$	3.04452	+	1.75775i	0.254595	+	0.146991i
$144$	1.80513	+	2.39614i	0.150428	+	0.199679i
$145$	−5.37802	−	2.30679i	−0.446620	−	0.191569i
$146$	1.18451	−	2.05162i	0.0980304	−	0.169794i
$147$	−0.0612865	−	1.00310i	−0.00505482	−	0.0827345i
$148$	−5.15050	+	8.92092i	−0.423368	+	0.733295i
$149$	7.04652	−	4.06831i	0.577274	−	0.333289i	−0.182775	−	0.983155i	$-0.558508\pi$
$149$	7.04652	−	4.06831i	0.577274	−	0.333289i	0.760049	+	0.649866i	$0.225175\pi$
$150$	−6.34034	−	5.89916i	−0.517687	−	0.481664i
$151$			12.8411i			1.04499i	0.852641	+	0.522496i	$0.174999\pi$
$151$			12.8411i			1.04499i	−0.852641	+	0.522496i	$0.825001\pi$
$152$	4.30007	+	0.713722i	0.348782	+	0.0578905i
$153$	−3.75324	−	4.98207i	−0.303431	−	0.402776i
$154$	−1.61650	+	0.933288i	−0.130261	+	0.0752065i
$155$	11.6902	−	1.39067i	0.938977	−	0.111702i
$156$	−6.89268	+	4.56152i	−0.551856	+	0.365214i
$157$	13.5004	−	7.79447i	1.07745	−	0.622067i	0.147243	−	0.989100i	$-0.452960\pi$
$157$	13.5004	−	7.79447i	1.07745	−	0.622067i	0.930208	+	0.367034i	$0.119627\pi$
$158$	0.161871	−	0.280369i	0.0128778	−	0.0223049i
$159$	−9.86448	+	19.7818i	−0.782304	+	1.56880i
$160$	0.881452	−	2.05500i	0.0696849	−	0.162462i
$161$	13.7132	+	7.91731i	1.08075	+	0.623971i
$162$	−6.47570	+	6.25023i	−0.508779	+	0.491064i
$163$			15.4275i			1.20838i	0.796842	+	0.604188i	$0.206503\pi$
$163$			15.4275i			1.20838i	−0.796842	+	0.604188i	$0.793497\pi$
$164$	2.45232			0.191494
$165$	−0.509193	−	2.80739i	−0.0396406	−	0.218555i
$166$	−10.9750	+	6.33644i	−0.851828	+	0.491803i
$167$	14.1230	+	8.15391i	1.09287	+	0.630969i	0.934339	−	0.356385i	$-0.115991\pi$
$167$	14.1230	+	8.15391i	1.09287	+	0.630969i	0.158531	+	0.987354i	$0.449324\pi$
$168$	−0.267628	−	4.38038i	−0.0206479	−	0.337953i
$169$	−4.88607	−	8.46293i	−0.375852	−	0.650994i
$170$	−1.83272	+	4.27277i	−0.140563	+	0.327707i
$171$	−0.554777	+	13.0649i	−0.0424249	+	0.999100i
$172$		−	8.61640i		−	0.656995i
$173$	−3.13191	+	1.80821i	−0.238115	+	0.137476i	−0.614310	−	0.789065i	$-0.710566\pi$
$173$	−3.13191	+	1.80821i	−0.238115	+	0.137476i	0.376195	+	0.926540i	$0.377232\pi$
$174$	4.52440	−	0.276427i	0.342994	−	0.0209559i
$175$	2.97209	+	12.3151i	0.224669	+	0.930932i
$176$	0.637994	−	0.368346i	0.0480906	−	0.0277651i
$177$	−7.50220	+	4.96489i	−0.563900	+	0.373184i
$178$			12.3783i			0.927789i
$179$	−3.21520			−0.240315			−0.120158	−	0.992755i	$-0.538340\pi$
$179$	−3.21520			−0.240315			−0.120158	+	0.992755i	$0.538340\pi$
$180$	6.44108	+	1.87416i	0.480090	+	0.139692i
$181$	−8.85537	−	5.11265i	−0.658214	−	0.380020i	0.133382	−	0.991065i	$-0.457416\pi$
$181$	−8.85537	−	5.11265i	−0.658214	−	0.380020i	−0.791596	+	0.611044i	$0.790750\pi$
$182$	12.0910			0.896244
$183$	−15.7232	−	7.84060i	−1.16230	−	0.579594i
$184$	−5.41225	−	3.12477i	−0.398997	−	0.230361i
$185$	2.72093	+	22.8724i	0.200047	+	1.68162i
$186$	−7.60455	+	5.03263i	−0.557593	+	0.369010i
$187$	−1.32652	+	0.765866i	−0.0970047	+	0.0560057i
$188$	0.809291	+	1.40173i	0.0590236	+	0.102232i
$189$	12.9456	−	2.39670i	0.941657	−	0.174335i
$190$	8.65648	−	4.47944i	0.628007	−	0.324973i
$191$		−	13.0698i		−	0.945701i	−0.881143	−	0.472850i	$-0.843225\pi$
$191$		−	13.0698i		−	0.945701i	0.881143	−	0.472850i	$-0.156775\pi$
$192$	0.105626	+	1.72883i	0.00762290	+	0.124767i
$193$	−10.6073	−	18.3725i	−0.763534	−	1.32248i	−0.941018	−	0.338355i	$-0.890129\pi$
$193$	−10.6073	−	18.3725i	−0.763534	−	1.32248i	0.177485	−	0.984124i	$-0.443204\pi$
$194$	−10.2264	−	5.90419i	−0.734210	−	0.423896i
$195$	−6.23615	+	17.3981i	−0.446580	+	1.24590i
$196$	0.290111	−	0.502487i	0.0207222	−	0.0358919i
$197$	26.7052			1.90267			0.951333	−	0.308166i	$-0.0997151\pi$
$197$	26.7052			1.90267			0.951333	+	0.308166i	$0.0997151\pi$
$198$	1.32982	+	1.76522i	0.0945065	+	0.125449i
$199$	−1.29996	+	2.25160i	−0.0921519	+	0.159612i	−0.908416	−	0.418067i	$-0.862708\pi$
$199$	−1.29996	+	2.25160i	−0.0921519	+	0.159612i	0.816264	+	0.577678i	$0.196041\pi$
$200$	−1.17301	−	4.86046i	−0.0829442	−	0.343686i
$201$	8.50652	+	4.24189i	0.600004	+	0.299200i
$202$	15.1416			1.06536
$203$	−5.74249	−	3.31543i	−0.403044	−	0.232697i
$204$	−0.219618	−	3.59458i	−0.0153763	−	0.251671i
$205$	4.39176	−	3.28356i	0.306734	−	0.229333i
$206$	−5.52757	+	3.19134i	−0.385124	+	0.222352i
$207$	7.32792	−	17.2572i	0.509326	−	1.19946i
$208$	−4.77202			−0.330880
$209$	3.16782	+	0.525793i	0.219123	+	0.0363699i
$210$	−6.34443	−	7.48631i	−0.437808	−	0.516604i
$211$	4.99550	−	2.88415i	0.343904	−	0.198553i	−0.318093	−	0.948060i	$-0.603042\pi$
$211$	4.99550	−	2.88415i	0.343904	−	0.198553i	0.661997	+	0.749506i	$0.269709\pi$
$212$	−11.0525	+	6.38115i	−0.759088	+	0.438259i
$213$	0.525954	−	0.348072i	0.0360378	−	0.0238495i
$214$	1.53438	+	2.65762i	0.104888	+	0.181671i
$215$	−11.5370	−	15.4308i	−0.786818	−	1.05237i
$216$	−5.10933	+	0.945920i	−0.347646	+	0.0643617i
$217$	13.3397			0.905561
$218$	−2.74156	+	4.74852i	−0.185682	+	0.321611i
$219$	2.26451	+	3.42179i	0.153021	+	0.231223i
$220$	0.649358	−	1.51390i	0.0437797	−	0.102067i
$221$	9.92200			0.667426
$222$	−9.84660	−	14.8787i	−0.660861	−	0.998593i
$223$	−10.6834	−	18.5042i	−0.715412	−	1.23913i	−0.962800	−	0.270214i	$-0.912906\pi$
$223$	−10.6834	−	18.5042i	−0.715412	−	1.23913i	0.247388	−	0.968917i	$-0.420428\pi$
$224$	1.26686	−	2.19427i	0.0846459	−	0.146611i
$225$	14.0445	−	5.26798i	0.936301	−	0.351199i
$226$	1.72294	+	2.98423i	0.114608	+	0.198508i
$227$			15.4916i			1.02822i	0.857725	+	0.514108i	$0.171877\pi$
$227$			15.4916i			1.02822i	−0.857725	+	0.514108i	$0.828123\pi$
$228$	−4.42998	+	6.11354i	−0.293382	+	0.404879i
$229$	−11.7275			−0.774978			−0.387489	−	0.921874i	$-0.626658\pi$
$229$	−11.7275			−0.774978			−0.387489	+	0.921874i	$0.626658\pi$
$230$	−13.8765	+	1.65076i	−0.914991	+	0.108848i
$231$	−0.197159	−	3.22699i	−0.0129721	−	0.212320i
$232$	2.26642	+	1.30852i	0.148798	+	0.0859084i
$233$	−11.1235	−	19.2664i	−0.728724	−	1.26219i	−0.957423	−	0.288689i	$-0.906781\pi$
$233$	−11.1235	−	19.2664i	−0.728724	−	1.26219i	0.228699	−	0.973497i	$-0.426553\pi$
$234$	−1.74283	−	14.2096i	−0.113932	−	0.928909i
$235$	3.32619	+	1.42670i	0.216977	+	0.0930678i
$236$	−5.19401			−0.338101
$237$	0.309461	+	0.467611i	0.0201017	+	0.0303746i
$238$	−2.63407	+	4.56234i	−0.170741	+	0.295733i
$239$		−	2.85417i		−	0.184621i	−0.995730	−	0.0923105i	$-0.970575\pi$
$239$		−	2.85417i		−	0.184621i	0.995730	−	0.0923105i	$-0.0294252\pi$
$240$	2.50399	+	2.95466i	0.161632	+	0.190723i
$241$	−2.89433	−	1.67104i	−0.186440	−	0.107641i	0.403875	−	0.914814i	$-0.367663\pi$
$241$	−2.89433	−	1.67104i	−0.186440	−	0.107641i	−0.590315	+	0.807173i	$0.700996\pi$
$242$	−9.05627	+	5.22864i	−0.582159	+	0.336110i
$243$	−4.68267	−	14.8685i	−0.300394	−	0.953815i
$244$	−5.07194	−	8.78486i	−0.324698	−	0.562393i
$245$	−0.153261	−	1.28833i	−0.00979148	−	0.0823084i
$246$	−1.89549	+	3.80115i	−0.120852	+	0.242352i
$247$	−16.0679	−	13.2096i	−1.02238	−	0.840506i
$248$	−5.26487			−0.334319
$249$	−1.33859	−	21.9092i	−0.0848295	−	1.38844i
$250$	−8.60865	−	7.13380i	−0.544459	−	0.451181i
$251$	4.22850	+	2.44132i	0.266900	+	0.154095i	0.627478	−	0.778634i	$-0.284087\pi$
$251$	4.22850	+	2.44132i	0.266900	+	0.154095i	−0.360578	+	0.932729i	$0.617420\pi$
$252$	6.99654	+	2.97094i	0.440740	+	0.187151i
$253$	−3.98716	−	2.30199i	−0.250671	−	0.144725i
$254$		−	11.8151i		−	0.741348i
$255$	−5.20631	−	6.14334i	−0.326032	−	0.384711i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	2.07388	+	1.19736i	0.129365	+	0.0746890i	0.563286	−	0.826262i	$-0.309537\pi$
$257$	2.07388	+	1.19736i	0.129365	+	0.0746890i	−0.433921	+	0.900951i	$0.642870\pi$
$258$	13.3556	+	6.65995i	0.831484	+	0.414631i
$259$			26.0999i			1.62177i
$260$	−8.54602	+	6.38954i	−0.530002	+	0.396262i
$261$	−3.06862	+	7.22658i	−0.189943	+	0.447314i
$262$	7.48358	−	12.9619i	0.462337	−	0.800792i
$263$	−4.58909	−	7.94853i	−0.282975	−	0.490127i	0.689141	−	0.724627i	$-0.257988\pi$
$263$	−4.58909	−	7.94853i	−0.282975	−	0.490127i	−0.972116	+	0.234500i	$0.924655\pi$
$264$	0.0778138	+	1.27361i	0.00478911	+	0.0783854i
$265$	−11.2494	+	26.2266i	−0.691043	+	1.61109i
$266$	10.3397	−	3.88150i	0.633969	−	0.237990i
$267$	−19.1866	−	9.56763i	−1.17420	−	0.585530i
$268$	2.74400	+	4.75275i	0.167617	+	0.290320i
$269$	−3.52258	−	6.10129i	−0.214775	−	0.372002i	0.738428	−	0.674333i	$-0.235569\pi$
$269$	−3.52258	−	6.10129i	−0.214775	−	0.372002i	−0.953203	+	0.302331i	$0.902235\pi$
$270$	−7.88355	+	8.53520i	−0.479778	+	0.519436i
$271$	−5.46433	−	9.46449i	−0.331934	−	0.574927i	0.650957	−	0.759115i	$-0.274368\pi$
$271$	−5.46433	−	9.46449i	−0.331934	−	0.574927i	−0.982891	+	0.184188i	$0.941035\pi$
$272$	1.03960	−	1.80064i	0.0630351	−	0.109180i
$273$	−9.34560	+	18.7413i	−0.565621	+	1.13427i
$274$			21.6868i			1.31015i
$275$	−0.864146	−	3.58066i	−0.0521099	−	0.215922i
$276$	9.02679	−	5.97385i	0.543349	−	0.359584i
$277$		−	0.531383i		−	0.0319277i	−0.999873	−	0.0159638i	$-0.994918\pi$
$277$		−	0.531383i		−	0.0319277i	0.999873	−	0.0159638i	$-0.00508166\pi$
$278$			12.6745i			0.760167i
$279$	−1.92283	−	15.6771i	−0.115117	−	0.938565i
$280$	−0.669264	−	5.62592i	−0.0399962	−	0.336213i
$281$	−1.83424	+	3.17700i	−0.109422	+	0.189524i	−0.915536	−	0.402236i	$-0.868233\pi$
$281$	−1.83424	+	3.17700i	−0.109422	+	0.189524i	0.806114	+	0.591760i	$0.201567\pi$
$282$	−2.79825	+	0.170964i	−0.166633	+	0.0101808i
$283$	17.1468	−	9.89972i	1.01927	−	0.588477i	0.105379	−	0.994432i	$-0.466394\pi$
$283$	17.1468	−	9.89972i	1.01927	−	0.588477i	0.913893	+	0.405955i	$0.133061\pi$
$284$	0.364134			0.0216074
$285$	0.252304	+	16.8801i	0.0149452	+	0.999888i
$286$	−3.51550			−0.207876
$287$	5.38106	−	3.10675i	0.317634	−	0.183386i
$288$	−2.76136	−	1.17255i	−0.162715	−	0.0690935i
$289$	6.33846	−	10.9785i	0.372850	−	0.645796i
$290$	5.81090	−	0.691269i	0.341228	−	0.0405927i
$291$	17.0560	−	11.2875i	0.999839	−	0.661685i
$292$			2.36901i			0.138636i
$293$		−	5.12906i		−	0.299643i	−0.988713	−	0.149821i	$-0.952130\pi$
$293$		−	5.12906i		−	0.299643i	0.988713	−	0.149821i	$-0.0478699\pi$
$294$	0.554627	+	0.838069i	0.0323465	+	0.0488772i
$295$	−9.30175	+	6.95457i	−0.541569	+	0.404911i
$296$		−	10.3010i		−	0.598733i
$297$	−3.76400	+	0.696851i	−0.218409	+	0.0404354i
$298$	−4.06831	+	7.04652i	−0.235671	+	0.408194i
$299$	14.9114	+	25.8274i	0.862350	+	1.49363i
$300$	8.44048	+	1.93865i	0.487311	+	0.111928i
$301$	−10.9158	−	18.9067i	−0.629177	−	1.08977i
$302$	−6.42054	−	11.1207i	−0.369461	−	0.639925i
$303$	−11.7036	+	23.4699i	−0.672352	+	1.34831i
$304$	−4.08083	+	1.53193i	−0.234052	+	0.0878624i
$305$	−20.8457	−	8.94135i	−1.19362	−	0.511980i
$306$	5.74143	+	2.43798i	0.328216	+	0.139370i
$307$	−10.6455	−	18.4385i	−0.607571	−	1.05234i	−0.991640	−	0.129039i	$-0.958811\pi$
$307$	−10.6455	−	18.4385i	−0.607571	−	1.05234i	0.384069	−	0.923304i	$-0.374523\pi$
$308$	0.933288	−	1.61650i	0.0531790	−	0.0921088i
$309$	−0.674178	−	11.0346i	−0.0383526	−	0.627735i
$310$	−9.42865	+	7.04945i	−0.535511	+	0.400382i
$311$		−	18.5155i		−	1.04992i	−0.851128	−	0.524959i	$-0.824081\pi$
$311$		−	18.5155i		−	1.04992i	0.851128	−	0.524959i	$-0.175919\pi$
$312$	3.68848	−	7.39673i	0.208819	−	0.418757i
$313$	−6.00769	−	3.46854i	−0.339575	−	0.196054i	0.320509	−	0.947245i	$-0.396146\pi$
$313$	−6.00769	−	3.46854i	−0.339575	−	0.196054i	−0.660084	+	0.751192i	$0.729479\pi$
$314$	−7.79447	+	13.5004i	−0.439868	+	0.761873i
$315$	16.5078	−	4.04755i	0.930109	−	0.228053i
$316$			0.323742i			0.0182119i
$317$	−23.7623	−	13.7191i	−1.33462	−	0.770544i	−0.348617	−	0.937265i	$-0.613349\pi$
$317$	−23.7623	−	13.7191i	−1.33462	−	0.770544i	−0.986004	+	0.166722i	$0.946682\pi$
$318$	−1.34803	−	22.0638i	−0.0755938	−	1.23728i
$319$	1.66965	+	0.963974i	0.0934825	+	0.0539722i
$320$	0.264142	+	2.22041i	0.0147660	+	0.124125i
$321$	−5.30535	+	0.324141i	−0.296116	+	0.0180918i
$322$	−15.8346			−0.882428
$323$	8.48488	−	3.18520i	0.472111	−	0.177229i
$324$	2.48300	−	8.65071i	0.137945	−	0.480595i
$325$	−6.74941	+	22.8856i	−0.374390	+	1.26946i
$326$	−7.71376	−	13.3606i	−0.427226	−	0.739977i
$327$	−5.24125	−	7.91980i	−0.289842	−	0.437966i
$328$	−2.12377	+	1.22616i	−0.117266	+	0.0677033i
$329$	3.55161	+	2.05052i	0.195807	+	0.113049i
$330$	1.84467	+	2.17667i	0.101546	+	0.119822i
$331$			21.6261i			1.18868i	0.804214	+	0.594340i	$0.202587\pi$
$331$			21.6261i			1.18868i	−0.804214	+	0.594340i	$0.797413\pi$
$332$	6.33644	−	10.9750i	0.347757	−	0.602334i
$333$	30.6731	−	3.76211i	1.68088	−	0.206162i
$334$	−16.3078			−0.892324
$335$	11.2779	+	4.83741i	0.616176	+	0.264296i
$336$	2.42196	+	3.65970i	0.132129	+	0.199653i
$337$	17.8583	+	30.9316i	0.972806	+	1.68495i	0.686994	+	0.726663i	$0.258930\pi$
$337$	17.8583	+	30.9316i	0.972806	+	1.68495i	0.285812	+	0.958286i	$0.407737\pi$
$338$	8.46293	+	4.88607i	0.460323	+	0.265767i
$339$	−5.95734	+	0.363975i	−0.323558	+	0.0197684i
$340$	−0.549205	−	4.61669i	−0.0297848	−	0.250375i
$341$	−3.87858			−0.210037
$342$	−6.05201	−	11.5919i	−0.327255	−	0.626821i
$343$		−	19.2062i		−	1.03704i
$344$	4.30820	+	7.46202i	0.232283	+	0.402325i
$345$	8.16699	−	22.7849i	0.439696	−	1.22670i
$346$	1.80821	−	3.13191i	0.0972100	−	0.168373i
$347$	11.6976	+	20.2609i	0.627961	+	1.08766i	0.987960	+	0.154708i	$0.0494436\pi$
$347$	11.6976	+	20.2609i	0.627961	+	1.08766i	−0.359999	+	0.932953i	$0.617223\pi$
$348$	−3.78003	+	2.50159i	−0.202631	+	0.134099i
$349$	19.1429			1.02469			0.512347	−	0.858778i	$-0.328776\pi$
$349$	19.1429			1.02469			0.512347	+	0.858778i	$0.328776\pi$
$350$	−8.73144	−	9.17913i	−0.466715	−	0.490645i
$351$	23.3722	+	8.28171i	1.24752	+	0.442045i
$352$	−0.368346	+	0.637994i	−0.0196329	+	0.0340052i
$353$	−26.2810			−1.39880			−0.699399	−	0.714732i	$-0.746549\pi$
$353$	−26.2810			−1.39880			−0.699399	+	0.714732i	$0.746549\pi$
$354$	4.01465	−	8.05083i	0.213376	−	0.427897i
$355$	0.652115	−	0.487561i	0.0346106	−	0.0258771i
$356$	−6.18913	−	10.7199i	−0.328023	−	0.568153i
$357$	−5.03575	−	7.60927i	−0.266520	−	0.402725i
$358$	2.78444	−	1.60760i	0.147162	−	0.0849642i
$359$	−18.7474	+	10.8238i	−0.989450	+	0.571259i	−0.905110	−	0.425178i	$-0.860211\pi$
$359$	−18.7474	+	10.8238i	−0.989450	+	0.571259i	−0.0843398	+	0.996437i	$0.526878\pi$
$360$	−6.51522	+	1.59747i	−0.343382	+	0.0841939i
$361$	−17.9812	−	6.13811i	−0.946379	−	0.323058i
$362$	10.2253			0.537430
$363$	−1.10456	−	18.0788i	−0.0579744	−	0.948893i
$364$	−10.4711	+	6.04550i	−0.548835	+	0.316870i
$365$	3.17201	+	4.24257i	0.166031	+	0.222066i
$366$	17.5370	−	1.07146i	0.916675	−	0.0560060i
$367$	31.0887	+	17.9491i	1.62282	+	0.936935i	0.986161	+	0.165789i	$0.0530171\pi$
$367$	31.0887	+	17.9491i	1.62282	+	0.936935i	0.636658	+	0.771146i	$0.280316\pi$
$368$	6.24953			0.325779
$369$	−4.42676	−	5.87610i	−0.230448	−	0.305898i
$370$	−13.7926	−	18.4477i	−0.717044	−	0.959048i
$371$	−16.1681	+	28.0040i	−0.839406	+	1.45389i
$372$	4.06942	−	8.16066i	0.210990	−	0.423110i
$373$	6.39286			0.331010			0.165505	−	0.986209i	$-0.447075\pi$
$373$	6.39286			0.331010			0.165505	+	0.986209i	$0.447075\pi$
$374$	0.765866	−	1.32652i	0.0396020	−	0.0685927i
$375$	17.7115	−	7.82961i	0.914618	−	0.404319i
$376$	−1.40173	−	0.809291i	−0.0722889	−	0.0417360i
$377$	−6.24427	−	10.8154i	−0.321596	−	0.557021i
$378$	−10.0129	+	8.54843i	−0.515008	+	0.439684i
$379$			4.61075i			0.236838i	0.992964	+	0.118419i	$0.0377826\pi$
$379$			4.61075i			0.236838i	−0.992964	+	0.118419i	$0.962217\pi$
$380$	−5.25701	+	8.20755i	−0.269679	+	0.421038i
$381$	18.3137	+	9.13238i	0.938240	+	0.467866i
$382$	6.53492	+	11.3188i	0.334356	+	0.579121i
$383$	−6.52926	+	3.76967i	−0.333630	+	0.192621i	−0.657451	−	0.753497i	$-0.728366\pi$
$383$	−6.52926	+	3.76967i	−0.333630	+	0.192621i	0.323822	+	0.946118i	$0.395032\pi$
$384$	−0.955888	−	1.44440i	−0.0487800	−	0.0737090i
$385$	−0.493041	−	4.14457i	−0.0251277	−	0.211227i
$386$	18.3725	+	10.6073i	0.935134	+	0.539900i
$387$	−20.6461	+	15.5537i	−1.04950	+	0.790641i
$388$	11.8084			0.599480
$389$	10.1328	+	5.85016i	0.513752	+	0.296615i	0.734375	−	0.678744i	$-0.237476\pi$
$389$	10.1328	+	5.85016i	0.513752	+	0.296615i	−0.220623	+	0.975359i	$0.570809\pi$
$390$	−3.29837	−	18.1852i	−0.167019	−	0.920845i
$391$	−12.9940			−0.657137
$392$			0.580221i			0.0293056i
$393$	14.3069	+	21.6185i	0.721690	+	1.09051i
$394$	−23.1274	+	13.3526i	−1.16514	+	0.672694i
$395$	0.433477	+	0.579777i	0.0218106	+	0.0291718i
$396$	−2.03427	−	0.863811i	−0.102226	−	0.0434081i
$397$	18.2960	−	10.5632i	0.918249	−	0.530152i	0.0351733	−	0.999381i	$-0.488802\pi$
$397$	18.2960	−	10.5632i	0.918249	−	0.530152i	0.883076	+	0.469230i	$0.155468\pi$
$398$		−	2.59993i		−	0.130322i
$399$	−1.97556	+	19.0269i	−0.0989015	+	0.952539i
$400$	3.44608	+	3.62278i	0.172304	+	0.181139i
$401$	12.1204	+	20.9931i	0.605262	+	1.04835i	0.992010	+	0.126160i	$0.0402651\pi$
$401$	12.1204	+	20.9931i	0.605262	+	1.04835i	−0.386748	+	0.922186i	$0.626402\pi$
$402$	−9.48781	+	0.579676i	−0.473209	+	0.0289116i
$403$	21.7581	+	12.5620i	1.08385	+	0.625759i
$404$	−13.1130	+	7.57082i	−0.652398	+	0.376662i
$405$	−7.13623	−	18.8169i	−0.354602	−	0.935017i
$406$	6.63086			0.329084
$407$		−	7.58866i		−	0.376156i
$408$	1.98749	+	3.00319i	0.0983953	+	0.148680i
$409$	28.4205	+	16.4086i	1.40530	+	0.811352i	0.994930	−	0.100566i	$-0.0320655\pi$
$409$	28.4205	+	16.4086i	1.40530	+	0.811352i	0.410372	+	0.911918i	$0.365399\pi$
$410$	−2.16160	+	5.03952i	−0.106754	+	0.248884i
$411$	−33.6150	−	16.7626i	−1.65811	−	0.826838i
$412$	3.19134	−	5.52757i	0.157226	−	0.272324i
$413$	−11.3971	+	6.58010i	−0.560813	+	0.323786i
$414$	2.28244	+	18.6091i	0.112176	+	0.914589i
$415$	−3.34744	−	28.1390i	−0.164320	−	1.38129i
$416$	4.13269	−	2.38601i	0.202622	−	0.116984i
$417$	−19.6458	−	9.79663i	−0.962058	−	0.479743i
$418$	−3.00631	+	1.12856i	−0.147044	+	0.0551998i
$419$			14.0621i			0.686977i	0.939157	+	0.343489i	$0.111609\pi$
$419$			14.0621i			0.686977i	−0.939157	+	0.343489i	$0.888391\pi$
$420$	9.23760	+	3.31112i	0.450749	+	0.161566i
$421$	−3.61816	+	2.08894i	−0.176338	+	0.101809i	−0.585571	−	0.810621i	$-0.699130\pi$
$421$	−3.61816	+	2.08894i	−0.176338	+	0.101809i	0.409233	+	0.912430i	$0.365796\pi$
$422$	−2.88415	+	4.99550i	−0.140398	+	0.243177i
$423$	1.89788	−	4.46949i	0.0922779	−	0.217314i
$424$	6.38115	−	11.0525i	0.309896	−	0.536756i
$425$	−7.16511	−	7.53249i	−0.347559	−	0.365379i
$426$	−0.281454	+	0.564416i	−0.0136365	+	0.0273460i
$427$	−22.2585	−	12.8509i	−1.07716	−	0.621900i
$428$	−2.65762	−	1.53438i	−0.128461	−	0.0741670i
$429$	2.71727	−	5.44911i	0.131191	−	0.263085i
$430$	17.7067	+	7.59495i	0.853895	+	0.366261i
$431$	14.0803	−	24.3877i	0.678222	−	1.17472i	−0.297294	−	0.954786i	$-0.596084\pi$
$431$	14.0803	−	24.3877i	0.678222	−	1.17472i	0.975516	−	0.219929i	$-0.0705826\pi$
$432$	3.95185	−	3.37385i	0.190133	−	0.162325i
$433$	0.681161	−	1.17981i	0.0327345	−	0.0566978i	−0.849194	−	0.528081i	$-0.822912\pi$
$433$	0.681161	−	1.17981i	0.0327345	−	0.0566978i	0.881929	+	0.471383i	$0.156245\pi$
$434$	−11.5526	+	6.66987i	−0.554541	+	0.320164i
$435$	−3.41998	+	9.54132i	−0.163976	+	0.457471i
$436$		−	5.48312i		−	0.262594i
$437$	21.0428	+	17.2996i	1.00662	+	0.827550i
$438$	−3.67202	−	1.83110i	−0.175456	−	0.0874934i
$439$	−23.6014	+	13.6262i	−1.12643	+	0.650345i	−0.943035	−	0.332694i	$-0.892042\pi$
$439$	−23.6014	+	13.6262i	−1.12643	+	0.650345i	−0.183396	+	0.983039i	$0.558709\pi$
$440$	0.194591	+	1.63576i	0.00927678	+	0.0779817i
$441$	−1.72772	+	0.211907i	−0.0822723	+	0.0100908i
$442$	−8.59270	+	4.96100i	−0.408713	+	0.235971i
$443$	−1.06718	+	1.84841i	−0.0507032	+	0.0878205i	−0.890263	−	0.455447i	$-0.849480\pi$
$443$	−1.06718	+	1.84841i	−0.0507032	+	0.0878205i	0.839560	+	0.543267i	$0.182813\pi$
$444$	15.9668	+	7.96204i	0.757749	+	0.377862i
$445$	−25.4374	−	10.9108i	−1.20585	−	0.517223i
$446$	18.5042	+	10.6834i	0.876198	+	0.505873i
$447$	−7.77770	−	11.7525i	−0.367873	−	0.555874i
$448$			2.53373i			0.119707i
$449$	−26.4135			−1.24653			−0.623266	−	0.782010i	$-0.714195\pi$
$449$	−26.4135			−1.24653			−0.623266	+	0.782010i	$0.714195\pi$
$450$	−9.52892	+	11.5845i	−0.449197	+	0.546097i
$451$	−1.56456	+	0.903301i	−0.0736724	+	0.0425348i
$452$	−2.98423	−	1.72294i	−0.140366	−	0.0810404i
$453$	22.2000	−	1.35635i	1.04305	−	0.0637270i
$454$	−7.74582	−	13.4162i	−0.363529	−	0.629652i
$455$	−10.6576	+	24.8470i	−0.499637	+	1.16485i
$456$	0.779703	−	7.50946i	0.0365129	−	0.351663i
$457$			9.71282i			0.454347i	0.973854	+	0.227173i	$0.0729484\pi$
$457$			9.71282i			0.454347i	−0.973854	+	0.227173i	$0.927052\pi$
$458$	10.1564	−	5.86377i	0.474575	−	0.273996i
$459$	−8.21670	+	7.01493i	−0.383523	+	0.327429i
$460$	11.1920	−	8.36787i	0.521832	−	0.390154i
$461$	−14.1536	+	8.17157i	−0.659197	+	0.380588i	−0.791971	−	0.610559i	$-0.790945\pi$
$461$	−14.1536	+	8.17157i	−0.659197	+	0.380588i	0.132774	+	0.991146i	$0.457612\pi$
$462$	1.78424	+	2.69607i	0.0830103	+	0.125433i
$463$			31.7195i			1.47413i	0.675821	+	0.737066i	$0.263789\pi$
$463$			31.7195i			1.47413i	−0.675821	+	0.737066i	$0.736211\pi$
$464$	−2.61704			−0.121493
$465$	−3.63902	−	20.0634i	−0.168756	−	0.930418i
$466$	19.2664	+	11.1235i	0.892501	+	0.515285i
$467$	28.7636			1.33102			0.665510	−	0.746389i	$-0.268214\pi$
$467$	28.7636			1.33102			0.665510	+	0.746389i	$0.268214\pi$
$468$	8.61412	+	11.4344i	0.398188	+	0.528557i
$469$	12.0422	+	6.95255i	0.556056	+	0.321039i
$470$	−3.59392	+	0.427536i	−0.165775	+	0.0197208i
$471$	−14.9013	−	22.5166i	−0.686615	−	1.03751i
$472$	4.49814	−	2.59700i	0.207044	−	0.119537i
$473$	3.17382	+	5.49721i	0.145932	+	0.252762i
$474$	−0.501807	−	0.250233i	−0.0230488	−	0.0114936i
$475$	1.57500	+	21.7375i	0.0722661	+	0.997385i
$476$		−	5.26814i		−	0.241465i
$477$	35.2413	+	14.9645i	1.61359	+	0.685178i
$478$	1.42709	+	2.47178i	0.0652734	+	0.113057i
$479$	−7.51093	−	4.33644i	−0.343183	−	0.198137i	0.318496	−	0.947924i	$-0.396822\pi$
$479$	−7.51093	−	4.33644i	−0.343183	−	0.198137i	−0.661679	+	0.749787i	$0.730156\pi$
$480$	−3.64585	−	1.30682i	−0.166410	−	0.0596477i
$481$	−24.5783	+	42.5708i	−1.12067	+	1.94106i
$482$	3.34208			0.152228
$483$	12.2392	−	24.5440i	0.556902	−	1.11679i
$484$	5.22864	−	9.05627i	0.237666	−	0.411649i
$485$	21.1472	−	15.8110i	0.960244	−	0.717938i
$486$	11.4896	+	10.5352i	0.521177	+	0.477885i
$487$	−28.7235			−1.30159			−0.650793	−	0.759255i	$-0.725563\pi$
$487$	−28.7235			−1.30159			−0.650793	+	0.759255i	$0.725563\pi$
$488$	8.78486	+	5.07194i	0.397672	+	0.229596i
$489$	26.6715	−	1.62955i	1.20613	−	0.0736907i
$490$	0.776893	+	1.03910i	0.0350965	+	0.0469416i
$491$	−13.2797	+	7.66703i	−0.599304	+	0.346008i	−0.768768	−	0.639528i	$-0.779130\pi$
$491$	−13.2797	+	7.66703i	−0.599304	+	0.346008i	0.169464	+	0.985536i	$0.445796\pi$
$492$	−0.259029	−	4.23963i	−0.0116779	−	0.191137i
$493$	5.44135			0.245066
$494$	20.5200	+	3.40589i	0.923239	+	0.153238i
$495$	−4.79971	+	1.17684i	−0.215731	+	0.0528951i
$496$	4.55951	−	2.63243i	0.204728	−	0.118200i
$497$	0.799010	−	0.461309i	0.0358405	−	0.0206925i
$498$	12.1139	+	18.3047i	0.542835	+	0.820251i
$499$	14.2737	+	24.7228i	0.638978	+	1.10674i	0.985657	+	0.168759i	$0.0539759\pi$
$499$	14.2737	+	24.7228i	0.638978	+	1.10674i	−0.346679	+	0.937984i	$0.612691\pi$
$500$	11.0222	+	1.87372i	0.492928	+	0.0837954i
$501$	12.6049	−	25.2775i	0.563148	−	1.12931i
$502$	−4.88265			−0.217923
$503$	−7.40272	+	12.8219i	−0.330071	+	0.571700i	−0.982525	−	0.186128i	$-0.940406\pi$
$503$	−7.40272	+	12.8219i	−0.330071	+	0.571700i	0.652454	+	0.757828i	$0.273739\pi$
$504$	−7.54465	+	0.925364i	−0.336065	+	0.0412190i
$505$	−13.3466	+	31.1161i	−0.593917	+	1.38465i
$506$	4.60398			0.204672
$507$	−14.1148	+	9.34108i	−0.626862	+	0.414852i
$508$	5.90757	+	10.2322i	0.262106	+	0.453981i
$509$	8.13316	−	14.0870i	0.360496	−	0.624397i	−0.627546	−	0.778579i	$-0.715941\pi$
$509$	8.13316	−	14.0870i	0.360496	−	0.624397i	0.988043	+	0.154182i	$0.0492741\pi$
$510$	7.58047	+	2.71714i	0.335669	+	0.120317i
$511$	3.00122	+	5.19826i	0.132766	+	0.229957i
$512$		−	1.00000i		−	0.0441942i
$513$	22.6456	−	0.420882i	0.999827	−	0.0185824i
$514$	−2.39471			−0.105626
$515$	−1.68594	−	14.1722i	−0.0742913	−	0.624502i
$516$	−14.8963	+	0.910116i	−0.655772	+	0.0400656i
$517$	−1.03265	−	0.596198i	−0.0454157	−	0.0262208i
$518$	−13.0500	−	22.6032i	−0.573382	−	0.993127i
$519$	3.45690	+	5.22354i	0.151741	+	0.229288i
$520$	4.20630	−	9.80651i	0.184459	−	0.430044i
$521$	28.1371			1.23271			0.616355	−	0.787469i	$-0.288609\pi$
$521$	28.1371			1.23271			0.616355	+	0.787469i	$0.288609\pi$
$522$	−0.955789	−	7.79271i	−0.0418337	−	0.341078i
$523$	−2.56924	+	4.45006i	−0.112345	+	0.194588i	−0.916715	−	0.399541i	$-0.869170\pi$
$523$	−2.56924	+	4.45006i	−0.112345	+	0.194588i	0.804370	+	0.594128i	$0.202503\pi$
$524$			14.9672i			0.653844i
$525$	20.9767	−	6.43901i	0.915499	−	0.281022i
$526$	7.94853	+	4.58909i	0.346572	+	0.200094i
$527$	−9.48015	+	5.47337i	−0.412962	+	0.238424i
$528$	−0.704195	−	1.06407i	−0.0306461	−	0.0463079i
$529$	−8.02832	−	13.9055i	−0.349057	−	0.604585i
$530$	−3.37106	−	28.3376i	−0.146430	−	1.23091i
$531$	9.37587	+	12.4456i	0.406878	+	0.540093i
$532$	−7.01371	+	8.53134i	−0.304083	+	0.369880i
$533$	11.7025			0.506892
$534$	21.3999	−	1.30747i	0.926063	−	0.0565796i
$535$	−6.81390	+	0.810588i	−0.294591	+	0.0350448i
$536$	−4.75275	−	2.74400i	−0.205288	−	0.118523i
$537$	0.339608	+	5.55852i	0.0146552	+	0.239868i
$538$	6.10129	+	3.52258i	0.263045	+	0.151869i
$539$			0.427444i			0.0184113i
$540$	2.55976	−	11.3335i	0.110154	−	0.487715i
$541$	12.9388	−	22.4107i	0.556282	−	0.963510i	−0.441520	−	0.897251i	$-0.645561\pi$
$541$	12.9388	−	22.4107i	0.556282	−	0.963510i	0.997803	−	0.0662582i	$-0.0211061\pi$
$542$	9.46449	+	5.46433i	0.406535	+	0.234713i
$543$	−7.90353	+	15.8494i	−0.339173	+	0.680164i
$544$			2.07920i			0.0891451i
$545$	−7.34168	−	9.81952i	−0.314483	−	0.420622i
$546$	−1.27712	−	20.9032i	−0.0546558	−	0.894576i
$547$	20.6948	−	35.8445i	0.884848	−	1.53260i	0.0389597	−	0.999241i	$-0.487596\pi$
$547$	20.6948	−	35.8445i	0.884848	−	1.53260i	0.845888	−	0.533360i	$-0.179071\pi$
$548$	−10.8434	−	18.7813i	−0.463208	−	0.802299i
$549$	−11.8943	+	28.0109i	−0.507635	+	1.19548i
$550$	2.53870	+	2.66887i	0.108251	+	0.113801i
$551$	−8.81184	−	7.24431i	−0.375397	−	0.308618i
$552$	−4.83050	+	9.68690i	−0.205600	+	0.412302i
$553$	0.410137	+	0.710378i	0.0174408	+	0.0302084i
$554$	0.265691	+	0.460191i	0.0112881	+	0.0195516i
$555$	39.2551	−	7.11994i	1.66629	−	0.302225i
$556$	−6.33726	−	10.9765i	−0.268760	−	0.465506i
$557$	1.45549	−	2.52098i	0.0616710	−	0.106817i	−0.833541	−	0.552457i	$-0.813690\pi$
$557$	1.45549	−	2.52098i	0.0616710	−	0.106817i	0.895212	+	0.445640i	$0.147024\pi$
$558$	9.50378	+	12.6154i	0.402327	+	0.534051i
$559$		−	41.1176i		−	1.73909i
$560$	3.39256	+	4.53756i	0.143362	+	0.191747i
$561$	1.46416	+	2.21243i	0.0618171	+	0.0934087i
$562$		−	3.66849i		−	0.154746i
$563$			11.7302i			0.494369i	0.968968	+	0.247184i	$0.0795053\pi$
$563$			11.7302i			0.494369i	−0.968968	+	0.247184i	$0.920495\pi$
$564$	2.33787	−	1.54718i	0.0984422	−	0.0651482i
$565$	−7.65129	+	0.910204i	−0.321892	+	0.0382926i
$566$	−9.89972	+	17.1468i	−0.416116	+	0.720734i
$567$	−5.51088	−	22.1276i	−0.231435	−	0.929273i
$568$	−0.315350	+	0.182067i	−0.0132318	+	0.00763937i
$569$	−19.9566			−0.836626			−0.418313	−	0.908303i	$-0.637378\pi$
$569$	−19.9566			−0.836626			−0.418313	+	0.908303i	$0.637378\pi$
$570$	−8.65853	−	14.4924i	−0.362666	−	0.607020i
$571$	−0.624912			−0.0261518			−0.0130759	−	0.999915i	$-0.504162\pi$
$571$	−0.624912			−0.0261518			−0.0130759	+	0.999915i	$0.504162\pi$
$572$	3.04452	−	1.75775i	0.127298	−	0.0734953i
$573$	−22.5955	+	1.38052i	−0.943940	+	0.0576718i
$574$	−3.10675	+	5.38106i	−0.129673	+	0.224601i
$575$	8.83917	−	29.9714i	0.368619	−	1.24989i
$576$	2.97769	−	0.365218i	0.124070	−	0.0152174i
$577$			31.2690i			1.30174i	0.759187	+	0.650872i	$0.225597\pi$
$577$			31.2690i			1.30174i	−0.759187	+	0.650872i	$0.774403\pi$
$578$			12.6769i			0.527290i
$579$	−30.6424	+	20.2789i	−1.27345	+	0.842761i
$580$	−4.68675	+	3.50410i	−0.194607	+	0.145500i
$581$		−	32.1096i		−	1.33213i
$582$	−9.12716	+	18.3032i	−0.378333	+	0.758694i
$583$	4.70094	−	8.14227i	0.194693	−	0.337218i
$584$	−1.18451	−	2.05162i	−0.0490152	−	0.0848968i
$585$	30.7369	+	8.94354i	1.27082	+	0.369770i
$586$	2.56453	+	4.44190i	0.105940	+	0.183493i
$587$	8.33621	+	14.4387i	0.344072	+	0.595951i	0.985185	−	0.171496i	$-0.0548602\pi$
$587$	8.33621	+	14.4387i	0.344072	+	0.595951i	−0.641113	+	0.767447i	$0.721527\pi$
$588$	−0.899356	−	0.448476i	−0.0370888	−	0.0184948i
$589$	22.6393	+	3.75765i	0.932836	+	0.154831i
$590$	4.57827	−	10.6737i	0.188484	−	0.439430i
$591$	−2.82076	−	46.1686i	−0.116031	−	1.89912i
$592$	5.15050	+	8.92092i	0.211684	+	0.366648i
$593$	−8.39521	+	14.5409i	−0.344750	+	0.597125i	−0.985308	−	0.170785i	$-0.945370\pi$
$593$	−8.39521	+	14.5409i	−0.344750	+	0.597125i	0.640558	+	0.767910i	$0.278703\pi$
$594$	2.91129	−	2.48549i	0.119452	−	0.101981i
$595$	−7.05382	−	9.43451i	−0.289179	−	0.386777i
$596$		−	8.13662i		−	0.333289i
$597$	4.02994	+	2.00958i	0.164934	+	0.0822468i
$598$	−25.8274	−	14.9114i	−1.05616	−	0.609774i
$599$	18.1333	−	31.4079i	0.740908	−	1.28329i	−0.211174	−	0.977448i	$-0.567729\pi$
$599$	18.1333	−	31.4079i	0.740908	−	1.28329i	0.952082	−	0.305842i	$-0.0989379\pi$
$600$	−8.27899	+	2.54132i	−0.337988	+	0.103749i
$601$			15.2278i			0.621153i	0.950548	+	0.310577i	$0.100522\pi$
$601$			15.2278i			0.621153i	−0.950548	+	0.310577i	$0.899478\pi$
$602$	18.9067	+	10.9158i	0.770581	+	0.444895i
$603$	6.43499	−	15.1544i	0.262053	−	0.617133i
$604$	11.1207	+	6.42054i	0.452495	+	0.261248i
$605$	−2.76221	−	23.2195i	−0.112300	−	0.944006i
$606$	−1.59935	−	26.1773i	−0.0649692	−	1.06338i
$607$	−38.5686			−1.56545			−0.782725	−	0.622368i	$-0.786171\pi$
$607$	−38.5686			−1.56545			−0.782725	+	0.622368i	$0.786171\pi$
$608$	2.76814	−	3.36711i	0.112263	−	0.136554i
$609$	−5.12525	+	10.2780i	−0.207685	+	0.416484i
$610$	22.5236	−	2.67943i	0.911954	−	0.108487i
$611$	3.86195	+	6.68910i	0.156238	+	0.270612i
$612$	−6.19122	+	0.759363i	−0.250265	+	0.0306954i
$613$	−4.15957	+	2.40153i	−0.168004	+	0.0969969i	−0.581644	−	0.813443i	$-0.697590\pi$
$613$	−4.15957	+	2.40153i	−0.168004	+	0.0969969i	0.413641	+	0.910440i	$0.364257\pi$
$614$	18.4385	+	10.6455i	0.744119	+	0.429617i
$615$	−6.14058	−	7.24577i	−0.247612	−	0.292178i
$616$			1.86658i			0.0752065i
$617$	−9.14813	+	15.8450i	−0.368290	+	0.637897i	−0.989298	−	0.145907i	$-0.953390\pi$
$617$	−9.14813	+	15.8450i	−0.368290	+	0.637897i	0.621008	+	0.783804i	$0.286723\pi$
$618$	6.10114	+	9.21913i	0.245424	+	0.370848i
$619$	13.3123			0.535066			0.267533	−	0.963549i	$-0.413792\pi$
$619$	13.3123			0.535066			0.267533	+	0.963549i	$0.413792\pi$
$620$	4.64073	−	10.8193i	0.186376	−	0.434515i
$621$	−30.6088	−	10.8459i	−1.22829	−	0.435231i
$622$	9.25775	+	16.0349i	0.371202	+	0.642941i
$623$	−27.1613	−	15.6816i	−1.08819	−	0.628269i
$624$	0.504049	+	8.24999i	0.0201781	+	0.330264i
$625$	22.2481	−	11.4027i	0.889924	−	0.456109i
$626$	6.93708			0.277262
$627$	0.574401	−	5.53216i	0.0229394	−	0.220933i
$628$		−	15.5889i		−	0.622067i
$629$	−10.7089	−	18.5484i	−0.426993	−	0.739574i
$630$	−12.2724	+	11.7592i	−0.488944	+	0.468497i
$631$	14.9958	−	25.9734i	0.596972	−	1.03399i	−0.396294	−	0.918124i	$-0.629704\pi$
$631$	14.9958	−	25.9734i	0.596972	−	1.03399i	0.993265	−	0.115862i	$-0.0369629\pi$
$632$	−0.161871	−	0.280369i	−0.00643888	−	0.0111525i
$633$	−5.51386	−	8.33171i	−0.219156	−	0.331156i
$634$	27.4383			1.08971
$635$	24.2802	+	10.4145i	0.963529	+	0.413286i
$636$	12.1993	+	18.4338i	0.483735	+	0.730948i
$637$	1.38441	−	2.39787i	0.0548525	−	0.0950072i
$638$	−1.92795			−0.0763282
$639$	−0.657310	−	0.872518i	−0.0260028	−	0.0345163i
$640$	−1.33896	−	1.79086i	−0.0529270	−	0.0707900i
$641$	−21.3344	−	36.9523i	−0.842659	−	1.45953i	−0.887639	−	0.460541i	$-0.847655\pi$
$641$	−21.3344	−	36.9523i	−0.842659	−	1.45953i	0.0449792	−	0.998988i	$-0.485678\pi$
$642$	4.43250	−	2.93339i	0.174937	−	0.115772i
$643$	22.4555	−	12.9647i	0.885557	−	0.511277i	0.0130704	−	0.999915i	$-0.495839\pi$
$643$	22.4555	−	12.9647i	0.885557	−	0.511277i	0.872487	+	0.488638i	$0.162506\pi$
$644$	13.7132	−	7.91731i	0.540375	−	0.311986i
$645$	−25.4586	+	21.5754i	−1.00243	+	0.849531i
$646$	−5.75552	+	7.00091i	−0.226448	+	0.275447i
$647$	37.1804			1.46171			0.730856	−	0.682532i	$-0.239121\pi$
$647$	37.1804			1.46171			0.730856	+	0.682532i	$0.239121\pi$
$648$	2.17501	+	8.73323i	0.0854425	+	0.343074i
$649$	3.31374	−	1.91319i	0.130076	−	0.0750993i
$650$	−5.59762	−	23.1942i	−0.219557	−	0.909751i
$651$	−1.40902	−	23.0621i	−0.0552240	−	0.903875i
$652$	13.3606	+	7.71376i	0.523242	+	0.302094i
$653$	46.6082			1.82392			0.911960	−	0.410278i	$-0.134568\pi$
$653$	46.6082			1.82392			0.911960	+	0.410278i	$0.134568\pi$
$654$	8.49896	+	4.23812i	0.332335	+	0.165724i
$655$	20.0404	+	26.8041i	0.783045	+	1.04732i
$656$	1.22616	−	2.12377i	0.0478735	−	0.0829193i
$657$	5.67649	−	4.27638i	0.221461	−	0.166837i
$658$	−4.10105			−0.159875
$659$	−21.4093	+	37.0820i	−0.833988	+	1.44451i	0.0608646	+	0.998146i	$0.480614\pi$
$659$	−21.4093	+	37.0820i	−0.833988	+	1.44451i	−0.894852	+	0.446363i	$0.852719\pi$
$660$	−2.68587	−	0.962721i	−0.104547	−	0.0374738i
$661$	1.49321	+	0.862106i	0.0580792	+	0.0335320i	0.528758	−	0.848772i	$-0.322658\pi$
$661$	1.49321	+	0.862106i	0.0580792	+	0.0335320i	−0.470679	+	0.882304i	$0.655991\pi$
$662$	−10.8131	−	18.7288i	−0.420262	−	0.727915i
$663$	−1.04802	−	17.1534i	−0.0407018	−	0.666183i
$664$			12.6729i			0.491803i
$665$	−1.13746	+	24.6695i	−0.0441088	+	0.956643i
$666$	−24.6827	+	18.5946i	−0.956433	+	0.720528i
$667$	8.17762	+	14.1641i	0.316639	+	0.548434i
$668$	14.1230	−	8.15391i	0.546435	−	0.315484i
$669$	−30.8621	+	20.4242i	−1.19320	+	0.789647i
$670$	−12.1856	+	1.44961i	−0.470772	+	0.0560034i
$671$	6.47173	+	3.73646i	0.249839	+	0.144244i
$672$	−3.92733	−	1.95842i	−0.151500	−	0.0755476i
$673$	25.0136			0.964204			0.482102	−	0.876115i	$-0.339874\pi$
$673$	25.0136			0.964204			0.482102	+	0.876115i	$0.339874\pi$
$674$	−30.9316	−	17.8583i	−1.19144	−	0.687878i
$675$	−10.5909	−	23.7241i	−0.407644	−	0.913141i
$676$	−9.77215			−0.375852
$677$		−	10.0935i		−	0.387924i	−0.981009	−	0.193962i	$-0.937866\pi$
$677$		−	10.0935i		−	0.387924i	0.981009	−	0.193962i	$-0.0621339\pi$
$678$	4.97722	−	3.29388i	0.191149	−	0.126501i
$679$	25.9108	−	14.9596i	0.994366	−	0.574098i
$680$	2.78397	+	3.72357i	0.106760	+	0.142792i
$681$	26.7824	−	1.63632i	1.02630	−	0.0627039i
$682$	3.35895	−	1.93929i	0.128621	−	0.0742593i
$683$			27.4795i			1.05148i	0.850647	+	0.525738i	$0.176211\pi$
$683$			27.4795i			1.05148i	−0.850647	+	0.525738i	$0.823789\pi$
$684$	11.0372	+	7.01291i	0.422017	+	0.268145i
$685$	−44.5665	−	19.1159i	−1.70280	−	0.730381i
$686$	9.60311	+	16.6331i	0.366648	+	0.635054i
$687$	1.23873	+	20.2749i	0.0472606	+	0.773536i
$688$	−7.46202	−	4.30820i	−0.284487	−	0.164249i
$689$	−52.7426	+	30.4510i	−2.00933	+	1.16009i
$690$	4.31961	+	23.8158i	0.164445	+	0.906651i
$691$	3.74385			0.142423			0.0712114	−	0.997461i	$-0.477314\pi$
$691$	3.74385			0.142423			0.0712114	+	0.997461i	$0.477314\pi$
$692$			3.61642i			0.137476i
$693$	−5.55808	+	0.681707i	−0.211134	+	0.0258959i
$694$	−20.2609	−	11.6976i	−0.769092	−	0.444035i
$695$	−26.0462	−	11.1720i	−0.987989	−	0.423778i
$696$	2.02281	−	4.05646i	0.0766743	−	0.153760i
$697$	−2.54943	+	4.41575i	−0.0965667	+	0.167258i
$698$	−16.5782	+	9.57144i	−0.627495	+	0.362284i
$699$	−32.1334	+	21.2656i	−1.21540	+	0.804340i
$700$	12.1512	+	3.58364i	0.459273	+	0.135449i
$701$	−32.2898	+	18.6425i	−1.21957	+	0.704118i	−0.964826	−	0.262891i	$-0.915324\pi$
$701$	−32.2898	+	18.6425i	−1.21957	+	0.704118i	−0.254743	+	0.967009i	$0.581991\pi$
$702$	−24.3818	+	4.51395i	−0.920232	+	0.170368i
$703$	−7.35205	+	44.2950i	−0.277288	+	1.67062i
$704$		−	0.736692i		−	0.0277651i
$705$	2.11519	−	5.90111i	0.0796627	−	0.222249i
$706$	22.7600	−	13.1405i	0.856585	−	0.494550i
$707$	−19.1824	+	33.2249i	−0.721428	+	1.24955i
$708$	0.548622	+	8.97954i	0.0206185	+	0.337472i
$709$	−22.4207	+	38.8338i	−0.842027	+	1.45843i	0.0461519	+	0.998934i	$0.485304\pi$
$709$	−22.4207	+	38.8338i	−0.842027	+	1.45843i	−0.888179	+	0.459499i	$0.848029\pi$
$710$	−0.320967	+	0.748298i	−0.0120457	+	0.0280831i
$711$	0.775732	−	0.584397i	0.0290922	−	0.0219166i
$712$	10.7199	+	6.18913i	0.401745	+	0.231947i
$713$	−28.4948	−	16.4515i	−1.06714	−	0.616113i
$714$	8.16573	+	4.07195i	0.305595	+	0.152389i
$715$	3.09875	−	7.22438i	0.115887	−	0.270176i
$716$	−1.60760	+	2.78444i	−0.0600788	+	0.104060i
$717$	−4.93437	+	0.301475i	−0.184277	+	0.0112588i
$718$	10.8238	−	18.7474i	0.403941	−	0.699646i
$719$	23.0640	−	13.3160i	0.860141	−	0.496603i	−0.00391864	−	0.999992i	$-0.501247\pi$
$719$	23.0640	−	13.3160i	0.860141	−	0.496603i	0.864059	+	0.503390i	$0.167914\pi$
$720$	4.84361	−	4.64106i	0.180511	−	0.172962i
$721$		−	16.1720i		−	0.602277i
$722$	18.6412	−	3.67484i	0.693755	−	0.136763i
$723$	−2.58323	+	5.18030i	−0.0960712	+	0.192657i
$724$	−8.85537	+	5.11265i	−0.329107	+	0.190010i
$725$	−3.70147	+	12.5507i	−0.137469	+	0.466123i
$726$	9.99600	+	15.1045i	0.370986	+	0.560579i
$727$	−0.844783	+	0.487735i	−0.0313313	+	0.0180891i	−0.515584	−	0.856839i	$-0.672425\pi$
$727$	−0.844783	+	0.487735i	−0.0313313	+	0.0180891i	0.484253	+	0.874928i	$0.339092\pi$
$728$	6.04550	−	10.4711i	0.224061	−	0.388085i
$729$	−25.2105	+	9.66603i	−0.933721	+	0.358001i
$730$	−4.86833	−	2.08817i	−0.180185	−	0.0772866i
$731$	15.5151	+	8.95763i	0.573846	+	0.331310i
$732$	−14.6518	+	9.69642i	−0.541545	+	0.358390i
$733$			19.5654i			0.722665i	0.932437	+	0.361332i	$0.117678\pi$
$733$			19.5654i			0.722665i	−0.932437	+	0.361332i	$0.882322\pi$
$734$	−35.8982			−1.32503
$735$	−2.21111	+	0.401043i	−0.0815581	+	0.0147927i
$736$	−5.41225	+	3.12477i	−0.199498	+	0.115180i
$737$	−3.50131	−	2.02148i	−0.128972	−	0.0744623i
$738$	6.77174	+	2.87548i	0.249271	+	0.105848i
$739$	−16.2565	−	28.1571i	−0.598006	−	1.03578i	−0.993115	−	0.117143i	$-0.962626\pi$
$739$	−16.2565	−	28.1571i	−0.598006	−	1.03578i	0.395109	−	0.918634i	$-0.370707\pi$
$740$	21.1686	+	9.07983i	0.778173	+	0.333781i
$741$	−21.1399	+	29.1739i	−0.776594	+	1.07173i
$742$		−	32.3362i		−	1.18710i
$743$	32.7180	−	18.8897i	1.20031	−	0.692998i	0.239683	−	0.970851i	$-0.422956\pi$
$743$	32.7180	−	18.8897i	1.20031	−	0.692998i	0.960623	+	0.277854i	$0.0896230\pi$
$744$	0.556107	+	9.10205i	0.0203879	+	0.333697i
$745$	−10.8946	−	14.5716i	−0.399148	−	0.533861i
$746$	−5.53638	+	3.19643i	−0.202701	+	0.117030i
$747$	−37.7359	+	4.62837i	−1.38068	+	0.169343i
$748$			1.53173i			0.0560057i
$749$	−7.77540			−0.284107
$750$	−11.4238	+	15.6364i	−0.417138	+	0.570960i
$751$	1.16537	+	0.672824i	0.0425248	+	0.0245517i	0.521112	−	0.853488i	$-0.325517\pi$
$751$	1.16537	+	0.672824i	0.0425248	+	0.0245517i	−0.478587	+	0.878040i	$0.658851\pi$
$752$	1.61858			0.0590236
$753$	3.77399	−	7.56821i	0.137532	−	0.275801i
$754$	10.8154	+	6.24427i	0.393873	+	0.227403i
$755$	28.5125	−	3.39187i	1.03768	−	0.123443i
$756$	4.39722	−	12.4096i	0.159925	−	0.451333i
$757$	−14.6311	+	8.44728i	−0.531777	+	0.307022i	−0.741740	−	0.670688i	$-0.765999\pi$
$757$	−14.6311	+	8.44728i	−0.531777	+	0.307022i	0.209963	+	0.977709i	$0.432666\pi$
$758$	−2.30537	−	3.99303i	−0.0837350	−	0.145033i
$759$	−3.55859	+	7.13626i	−0.129169	+	0.259030i
$760$	0.448927	−	9.73645i	0.0162843	−	0.353178i
$761$			38.1541i			1.38309i	0.722336	+	0.691543i	$0.243069\pi$
$761$			38.1541i			1.38309i	−0.722336	+	0.691543i	$0.756931\pi$
$762$	−20.4263	+	1.24799i	−0.739968	+	0.0452097i
$763$	−6.94637	−	12.0315i	−0.251476	−	0.435568i
$764$	−11.3188	−	6.53492i	−0.409500	−	0.236425i
$765$	−10.0709	+	9.64971i	−0.364113	+	0.348886i
$766$	3.76967	−	6.52926i	0.136204	−	0.235912i
$767$	−24.7859			−0.894967
$768$	1.55002	+	0.772939i	0.0559316	+	0.0278910i
$769$	2.27302	−	3.93699i	0.0819673	−	0.141971i	−0.822128	−	0.569303i	$-0.807213\pi$
$769$	2.27302	−	3.93699i	0.0819673	−	0.141971i	0.904095	+	0.427332i	$0.140546\pi$
$770$	2.49927	+	3.34278i	0.0900674	+	0.120465i
$771$	1.85096	−	3.71185i	0.0666609	−	0.133679i
$772$	−21.2147			−0.763534
$773$	−12.6054	−	7.27776i	−0.453387	−	0.261763i	0.255873	−	0.966710i	$-0.417637\pi$
$773$	−12.6054	−	7.27776i	−0.453387	−	0.261763i	−0.709259	+	0.704948i	$0.750970\pi$
$774$	10.1032	−	23.7930i	0.363152	−	0.855222i
$775$	−6.17574	−	25.5897i	−0.221839	−	0.919208i
$776$	−10.2264	+	5.90419i	−0.367105	+	0.211948i
$777$	45.1222	−	2.75683i	1.61875	−	0.0989007i
$778$	−11.7003			−0.419477
$779$	10.0075	−	3.75679i	0.358556	−	0.134601i
$780$	11.9491	+	14.0997i	0.427846	+	0.504850i
$781$	−0.232315	+	0.134127i	−0.00831290	+	0.00479945i
$782$	11.2532	−	6.49702i	0.402413	−	0.232333i
$783$	12.8176	+	4.54179i	0.458065	+	0.162311i
$784$	−0.290111	−	0.502487i	−0.0103611	−	0.0179459i
$785$	−20.8730	−	27.9176i	−0.744988	−	0.996424i
$786$	−23.1994	−	11.5687i	−0.827496	−	0.412642i
$787$	−27.5931			−0.983586			−0.491793	−	0.870712i	$-0.663658\pi$
$787$	−27.5931			−0.983586			−0.491793	+	0.870712i	$0.663658\pi$
$788$	13.3526	−	23.1274i	0.475666	−	0.823878i
$789$	−13.2569	+	8.77331i	−0.471958	+	0.312338i
$790$	−0.665291	−	0.285363i	−0.0236700	−	0.0101528i
$791$	−8.73094			−0.310436
$792$	2.19364	−	0.269053i	0.0779475	−	0.00956039i
$793$	−24.2034	−	41.9215i	−0.859488	−	1.48868i
$794$	−10.5632	+	18.2960i	−0.374874	+	0.649300i
$795$	46.5295	+	16.6780i	1.65023	+	0.591507i
$796$	1.29996	+	2.25160i	0.0460760	+	0.0798059i
$797$		−	34.2129i		−	1.21188i	−0.795509	−	0.605942i	$-0.792796\pi$
$797$		−	34.2129i		−	1.21188i	0.795509	−	0.605942i	$-0.207204\pi$
$798$	−7.80259	−	17.4656i	−0.276209	−	0.618275i
$799$	−3.36536			−0.119058
$800$	−4.79578	−	1.41437i	−0.169557	−	0.0500057i
$801$	−14.5142	+	34.1808i	−0.512833	+	1.20772i
$802$	−20.9931	−	12.1204i	−0.741292	−	0.427985i
$803$	−0.872615	−	1.51141i	−0.0307939	−	0.0533366i
$804$	7.92685	−	5.24592i	0.279558	−	0.185009i
$805$	13.9575	−	32.5402i	0.491936	−	1.14689i
$806$	−25.1240			−0.884957
$807$	−10.1760	+	6.73439i	−0.358212	+	0.237062i
$808$	7.57082	−	13.1130i	0.266341	−	0.461315i
$809$			25.9205i			0.911317i	0.890155	+	0.455658i	$0.150596\pi$
$809$			25.9205i			0.911317i	−0.890155	+	0.455658i	$0.849404\pi$
$810$	15.5886	+	12.7278i	0.547727	+	0.447208i
$811$	20.2179	+	11.6728i	0.709946	+	0.409887i	0.811041	−	0.584989i	$-0.198901\pi$
$811$	20.2179	+	11.6728i	0.709946	+	0.409887i	−0.101095	+	0.994877i	$0.532235\pi$
$812$	−5.74249	+	3.31543i	−0.201522	+	0.116349i
$813$	−15.7853	+	10.4466i	−0.553615	+	0.366377i
$814$	3.79433	+	6.57197i	0.132991	+	0.230347i
$815$	34.2555	−	4.07506i	1.19992	−	0.142743i
$816$	−3.22281	−	1.60710i	−0.112821	−	0.0562597i
$817$	−13.1998	−	35.1621i	−0.461801	−	1.23017i
$818$	−32.8171			−1.14742
$819$	33.3876	+	14.1774i	1.16666	+	0.495397i
$820$	−0.647761	−	5.44516i	−0.0226208	−	0.190153i
$821$	45.7462	+	26.4116i	1.59655	+	0.921770i	0.992145	+	0.125096i	$0.0399238\pi$
$821$	45.7462	+	26.4116i	1.59655	+	0.921770i	0.604408	+	0.796675i	$0.293410\pi$
$822$	37.4928	−	2.29069i	1.30771	−	0.0798971i
$823$	21.3371	+	12.3190i	0.743763	+	0.429412i	0.823436	−	0.567409i	$-0.192054\pi$
$823$	21.3371	+	12.3190i	0.743763	+	0.429412i	−0.0796729	+	0.996821i	$0.525388\pi$
$824$			6.38269i			0.222352i
$825$	−6.09906	+	1.87217i	−0.212342	+	0.0651806i
$826$	6.58010	−	11.3971i	0.228951	−	0.396555i
$827$	27.9454	+	16.1343i	0.971757	+	0.561044i	0.899771	−	0.436362i	$-0.143733\pi$
$827$	27.9454	+	16.1343i	0.971757	+	0.561044i	0.0719853	+	0.997406i	$0.477067\pi$
$828$	−11.2812	−	14.9748i	−0.392050	−	0.520409i
$829$		−	26.6172i		−	0.924452i	−0.886762	−	0.462226i	$-0.847051\pi$
$829$		−	26.6172i		−	0.924452i	0.886762	−	0.462226i	$-0.152949\pi$
$830$	16.9685	+	22.6954i	0.588985	+	0.787768i
$831$	−0.918668	+	0.0561278i	−0.0318683	+	0.00194705i
$832$	−2.38601	+	4.13269i	−0.0827200	+	0.143275i
$833$	0.603199	+	1.04477i	0.0208996	+	0.0361992i
$834$	21.9121	−	1.33876i	0.758752	−	0.0463574i
$835$	14.3746	−	33.5126i	0.497452	−	1.15975i
$836$	2.03926	−	2.48052i	0.0705294	−	0.0857906i
$837$	−26.8999	+	4.98014i	−0.929798	+	0.172139i
$838$	−7.03104	−	12.1781i	−0.242883	−	0.420686i
$839$	17.5619	+	30.4181i	0.606303	+	1.05015i	0.991844	+	0.127457i	$0.0406815\pi$
$839$	17.5619	+	30.4181i	0.606303	+	1.05015i	−0.385541	+	0.922691i	$0.625985\pi$
$840$	−9.65555	+	1.75129i	−0.333148	+	0.0604251i
$841$	11.0756	+	19.1834i	0.381916	+	0.661498i
$842$	2.08894	−	3.61816i	0.0719897	−	0.124690i
$843$	5.68623	+	2.83552i	0.195844	+	0.0976603i
$844$		−	5.76831i		−	0.198553i
$845$	−17.5006	+	13.0845i	−0.602038	+	0.450121i
$846$	0.591136	+	4.81963i	0.0203237	+	0.165702i
$847$		−	26.4959i		−	0.910411i
$848$			12.7623i			0.438259i
$849$	−18.9261	−	28.5982i	−0.649540	−	0.981488i
$850$	9.97141	+	2.94077i	0.342017	+	0.100868i
$851$	32.1882	−	55.7516i	1.10340	−	1.91114i
$852$	−0.0384621	−	0.629525i	−0.00131769	−	0.0215672i
$853$	−37.4243	+	21.6069i	−1.28138	+	0.739808i	−0.977101	−	0.212774i	$-0.931750\pi$
$853$	−37.4243	+	21.6069i	−1.28138	+	0.739808i	−0.304283	+	0.952582i	$0.598417\pi$
$854$	25.7018			0.879499
$855$	29.1561	−	2.21916i	0.997116	−	0.0758938i
$856$	3.06876			0.104888
$857$	−18.2045	+	10.5104i	−0.621854	+	0.359028i	−0.777591	−	0.628771i	$-0.783558\pi$
$857$	−18.2045	+	10.5104i	−0.621854	+	0.359028i	0.155736	+	0.987799i	$0.450225\pi$
$858$	0.371329	+	6.07770i	0.0126770	+	0.207489i
$859$	5.81401	−	10.0702i	0.198371	−	0.343589i	−0.749629	−	0.661858i	$-0.769768\pi$
$859$	5.81401	−	10.0702i	0.198371	−	0.343589i	0.948000	+	0.318269i	$0.103101\pi$
$860$	−19.1320	+	2.27596i	−0.652395	+	0.0776094i
$861$	−5.93942	−	8.97476i	−0.202415	−	0.305859i
$862$			28.1605i			0.959151i
$863$			17.6707i			0.601516i	0.953700	+	0.300758i	$0.0972397\pi$
$863$			17.6707i			0.601516i	−0.953700	+	0.300758i	$0.902760\pi$
$864$	−1.73547	+	4.89777i	−0.0590420	+	0.166625i
$865$	4.84224	+	6.47651i	0.164641	+	0.220208i
$866$			1.36232i			0.0462936i
$867$	−19.6495	−	9.79848i	−0.667331	−	0.332774i
$868$	6.66987	−	11.5526i	0.226390	−	0.392119i
$869$	−0.119249	−	0.206545i	−0.00404524	−	0.00700657i
$870$	−1.80887	−	9.97302i	−0.0613263	−	0.338117i
$871$	13.0944	+	22.6802i	0.443688	+	0.768489i
$872$	2.74156	+	4.74852i	0.0928410	+	0.160805i
$873$	−21.3157	−	28.2946i	−0.721427	−	0.957626i
$874$	−26.8734	−	4.46043i	−0.909007	−	0.150876i
$875$	26.5595	−	9.85219i	0.897875	−	0.333065i
$876$	4.09561	−	0.250229i	0.138378	−	0.00845446i
$877$	2.75813	+	4.77723i	0.0931356	+	0.161316i	0.908829	−	0.417169i	$-0.136978\pi$
$877$	2.75813	+	4.77723i	0.0931356	+	0.161316i	−0.815693	+	0.578485i	$0.803644\pi$
$878$	13.6262	−	23.6014i	0.459864	−	0.796507i
$879$	−8.86726	+	0.541762i	−0.299085	+	0.0182732i
$880$	−0.986400	−	1.31931i	−0.0332515	−	0.0444740i
$881$		−	32.9767i		−	1.11101i	−0.831512	−	0.555507i	$-0.812524\pi$
$881$		−	32.9767i		−	1.11101i	0.831512	−	0.555507i	$-0.187476\pi$
$882$	1.39029	−	1.04738i	0.0468136	−	0.0352670i
$883$	−35.9038	−	20.7291i	−1.20826	−	0.697589i	−0.245881	−	0.969300i	$-0.579077\pi$
$883$	−35.9038	−	20.7291i	−1.20826	−	0.697589i	−0.962379	+	0.271711i	$0.912410\pi$
$884$	4.96100	−	8.59270i	0.166856	−	0.289004i
$885$	13.0058	+	15.3465i	0.437184	+	0.515868i
$886$		−	2.13436i		−	0.0717052i
$887$	1.00771	+	0.581801i	0.0338356	+	0.0195350i	0.516822	−	0.856093i	$-0.327115\pi$
$887$	1.00771	+	0.581801i	0.0338356	+	0.0195350i	−0.482987	+	0.875628i	$0.660448\pi$
$888$	−17.8086	+	1.08805i	−0.597619	+	0.0365127i
$889$	25.9256	+	14.9682i	0.869518	+	0.502016i
$890$	27.4848	−	3.26962i	0.921293	−	0.109598i
$891$	1.60231	+	6.43370i	0.0536795	+	0.215537i
$892$	−21.3668			−0.715412
$893$	5.44994	+	4.48046i	0.182375	+	0.149933i
$894$	12.6119	+	6.28911i	0.421806	+	0.210339i
$895$	0.849269	+	7.13906i	0.0283879	+	0.238633i
$896$	−1.26686	−	2.19427i	−0.0423230	−	0.0733055i
$897$	43.0760	−	28.5073i	1.43827	−	0.951832i
$898$	22.8748	−	13.2068i	0.763342	−	0.440716i
$899$	11.9324	+	6.88917i	0.397968	+	0.229767i
$900$	2.46005	−	14.7969i	0.0820018	−	0.493230i
$901$		−	26.5354i		−	0.884024i
$902$	0.903301	−	1.56456i	0.0300766	−	0.0520943i
$903$	−31.5335	+	20.8686i	−1.04937	+	0.694463i
$904$	3.44589			0.114608
$905$	−9.01311	+	21.0130i	−0.299606	+	0.698497i
$906$	−18.5476	+	12.2746i	−0.616203	+	0.407798i
$907$	−13.2592	−	22.9656i	−0.440265	−	0.762562i	0.557444	−	0.830215i	$-0.311782\pi$
$907$	−13.2592	−	22.9656i	−0.440265	−	0.762562i	−0.997709	+	0.0676531i	$0.978449\pi$
$908$	13.4162	+	7.74582i	0.445231	+	0.257054i
$909$	41.8115	+	17.7544i	1.38680	+	0.588876i
$910$	−3.19374	−	26.8470i	−0.105871	−	0.889969i
$911$	17.0200			0.563897			0.281948	−	0.959430i	$-0.409019\pi$
$911$	17.0200			0.563897			0.281948	+	0.959430i	$0.409019\pi$
$912$	3.07949	+	6.89324i	0.101972	+	0.228258i
$913$			9.33601i			0.308977i
$914$	−4.85641	−	8.41155i	−0.160636	−	0.278229i
$915$	−13.2562	+	36.9831i	−0.438236	+	1.22262i
$916$	−5.86377	+	10.1564i	−0.193745	+	0.335575i
$917$	18.9614	+	32.8420i	0.626159	+	1.08454i
$918$	3.60840	−	10.1835i	0.119095	−	0.336104i
$919$	34.1519			1.12657			0.563284	−	0.826264i	$-0.309538\pi$
$919$	34.1519			1.12657			0.563284	+	0.826264i	$0.309538\pi$
$920$	−5.50866	+	12.8428i	−0.181615	+	0.423415i
$921$	−30.7526	+	20.3518i	−1.01333	+	0.670615i
$922$	8.17157	−	14.1536i	0.269116	−	0.466123i
$923$	1.73766			0.0571956
$924$	−2.89323	−	1.44275i	−0.0951804	−	0.0474630i
$925$	50.0675	−	12.0832i	1.64621	−	0.397292i
$926$	−15.8598	−	27.4699i	−0.521185	−	0.902718i
$927$	−19.0056	+	2.33107i	−0.624227	+	0.0765625i
$928$	2.26642	−	1.30852i	0.0743989	−	0.0429542i
$929$	−3.98659	+	2.30166i	−0.130796	+	0.0755149i	−0.563970	−	0.825795i	$-0.690727\pi$
$929$	−3.98659	+	2.30166i	−0.130796	+	0.0755149i	0.433174	+	0.901310i	$0.357393\pi$
$930$	13.1832	+	15.5559i	0.432294	+	0.510098i
$931$	0.414117	−	2.49499i	0.0135721	−	0.0817701i
$932$	−22.2470			−0.728724
$933$	−32.0101	+	1.95572i	−1.04796	+	0.0640274i
$934$	−24.9100	+	14.3818i	−0.815080	+	0.470587i
$935$	2.05093	+	2.74312i	0.0670725	+	0.0897096i
$936$	−13.1773	−	5.59545i	−0.430712	−	0.182893i
$937$	−9.39277	−	5.42292i	−0.306849	−	0.177159i	0.338667	−	0.940906i	$-0.390024\pi$
$937$	−9.39277	−	5.42292i	−0.306849	−	0.177159i	−0.645515	+	0.763747i	$0.723357\pi$
$938$	−13.9051			−0.454018
$939$	−5.36194	+	10.7526i	−0.174980	+	0.350899i
$940$	2.89866	−	2.16722i	0.0945438	−	0.0706868i
$941$	−8.35050	+	14.4635i	−0.272219	+	0.471496i	−0.969430	−	0.245370i	$-0.921091\pi$
$941$	−8.35050	+	14.4635i	−0.272219	+	0.471496i	0.697211	+	0.716866i	$0.254424\pi$
$942$	24.1632	+	12.0493i	0.787279	+	0.392587i
$943$	−15.3258			−0.499078
$944$	−2.59700	+	4.49814i	−0.0845253	+	0.146402i
$945$	−8.74116	−	28.1116i	−0.284350	−	0.914470i
$946$	−5.49721	−	3.17382i	−0.178730	−	0.103190i
$947$	−17.9420	−	31.0765i	−0.583037	−	1.00985i	−0.995117	−	0.0987021i	$-0.968531\pi$
$947$	−17.9420	−	31.0765i	−0.583037	−	1.00985i	0.412080	−	0.911148i	$-0.364802\pi$
$948$	0.559694	−	0.0341956i	0.0181780	−	0.00111062i
$949$			11.3050i			0.366975i
$950$	−12.2327	−	18.0377i	−0.396883	−	0.585221i
$951$	−21.2081	+	42.5299i	−0.687720	+	1.37913i
$952$	2.63407	+	4.56234i	0.0853707	+	0.147866i
$953$	1.16453	−	0.672344i	0.0377229	−	0.0217793i	−0.481020	−	0.876710i	$-0.659734\pi$
$953$	1.16453	−	0.672344i	0.0377229	−	0.0217793i	0.518743	+	0.854930i	$0.326400\pi$
$954$	−38.0021	+	4.66103i	−1.23036	+	0.150906i
$955$	−29.0204	+	3.45230i	−0.939079	+	0.111714i
$956$	−2.47178	−	1.42709i	−0.0799432	−	0.0461552i
$957$	1.49019	−	2.98836i	0.0481709	−	0.0966000i
$958$	8.67288			0.280208
$959$	−47.5868	−	27.4743i	−1.53666	−	0.887190i
$960$	3.81081	−	0.691189i	0.122993	−	0.0223080i
$961$	3.28117			0.105844
$962$		−	49.1565i		−	1.58487i
$963$	1.12077	+	9.13780i	0.0361162	+	0.294461i
$964$	−2.89433	+	1.67104i	−0.0932201	+	0.0538206i
$965$	−37.9926	+	28.4056i	−1.22302	+	0.914409i
$966$	1.67255	+	27.3753i	0.0538133	+	0.880786i
$967$	33.6655	−	19.4368i	1.08261	−	0.625045i	0.151011	−	0.988532i	$-0.451747\pi$
$967$	33.6655	−	19.4368i	1.08261	−	0.625045i	0.931599	+	0.363487i	$0.118414\pi$
$968$			10.4573i			0.336110i
$969$	−6.40289	−	14.3324i	−0.205690	−	0.460425i
$970$	−10.4085	+	24.2663i	−0.334198	+	0.779143i
$971$	2.97754	+	5.15726i	0.0955539	+	0.165504i	0.909840	−	0.414960i	$-0.136204\pi$
$971$	2.97754	+	5.15726i	0.0955539	+	0.165504i	−0.814286	+	0.580464i	$0.802871\pi$
$972$	−15.2178	−	3.37894i	−0.488113	−	0.108380i
$973$	−27.8114	−	16.0569i	−0.891591	−	0.514760i
$974$	24.8753	−	14.3618i	0.797056	−	0.460180i
$975$	40.2781	+	9.25126i	1.28993	+	0.296277i
$976$	−10.1439			−0.324698
$977$			6.95048i			0.222366i	0.993800	+	0.111183i	$0.0354639\pi$
$977$			6.95048i			0.222366i	−0.993800	+	0.111183i	$0.964536\pi$
$978$	−22.2834	+	14.7470i	−0.712546	+	0.471557i
$979$	7.89725	+	4.55948i	0.252397	+	0.145722i
$980$	−1.19236	−	0.511437i	−0.0380885	−	0.0163373i
$981$	−13.1383	+	9.89776i	−0.419475	+	0.316011i
$982$	7.66703	−	13.2797i	0.244665	−	0.423772i
$983$	−11.2931	+	6.52008i	−0.360195	+	0.207958i	−0.669166	−	0.743113i	$-0.733349\pi$
$983$	−11.2931	+	6.52008i	−0.360195	+	0.207958i	0.308972	+	0.951071i	$0.400015\pi$
$984$	2.34414	+	3.54212i	0.0747285	+	0.112919i
$985$	−7.05396	−	59.2965i	−0.224758	−	1.88934i
$986$	−4.71235	+	2.72068i	−0.150072	+	0.0866439i
$987$	3.16986	−	6.35671i	0.100898	−	0.202336i
$988$	−19.4738	+	7.31041i	−0.619544	+	0.232575i
$989$			53.8485i			1.71228i
$990$	3.56825	−	3.41903i	0.113406	−	0.108664i
$991$	8.23989	−	4.75730i	0.261749	−	0.151121i	−0.363383	−	0.931640i	$-0.618378\pi$
$991$	8.23989	−	4.75730i	0.261749	−	0.151121i	0.625132	+	0.780519i	$0.285045\pi$
$992$	−2.63243	+	4.55951i	−0.0835799	+	0.144765i
$993$	37.3878	−	2.28428i	1.18647	−	0.0724895i
$994$	−0.461309	+	0.799010i	−0.0146318	+	0.0253431i
$995$	5.34286	+	2.29171i	0.169380	+	0.0726521i
$996$	−19.6432	−	9.79536i	−0.622420	−	0.310378i
$997$	23.4527	+	13.5404i	0.742754	+	0.428829i	0.823070	−	0.567940i	$-0.192260\pi$
$997$	23.4527	+	13.5404i	0.742754	+	0.428829i	−0.0803157	+	0.996769i	$0.525593\pi$
$998$	−24.7228	−	14.2737i	−0.782585	−	0.451826i
$999$	−9.74392	−	52.6312i	−0.308284	−	1.66518i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.n.a.449.10	yes	80
3.2	odd	2	inner	570.2.n.a.449.24	yes	80
5.4	even	2	inner	570.2.n.a.449.31	yes	80
15.14	odd	2	inner	570.2.n.a.449.17	yes	80
19.8	odd	6	inner	570.2.n.a.179.17	yes	80
57.8	even	6	inner	570.2.n.a.179.31	yes	80
95.84	odd	6	inner	570.2.n.a.179.24	yes	80
285.179	even	6	inner	570.2.n.a.179.10	✓	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.n.a.179.10	✓	80	285.179	even	6	inner
570.2.n.a.179.17	yes	80	19.8	odd	6	inner
570.2.n.a.179.24	yes	80	95.84	odd	6	inner
570.2.n.a.179.31	yes	80	57.8	even	6	inner
570.2.n.a.449.10	yes	80	1.1	even	1	trivial
570.2.n.a.449.17	yes	80	15.14	odd	2	inner
570.2.n.a.449.24	yes	80	3.2	odd	2	inner
570.2.n.a.449.31	yes	80	5.4	even	2	inner

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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.105626 - 1.72883i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.264142 - 2.22041i) q^{5} +(0.955888 + 1.44440i) q^{6} -2.53373i q^{7} +1.00000i q^{8} +(-2.97769 + 0.365218i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.105626 - 1.72883i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.264142 - 2.22041i) q^{5} +(0.955888 + 1.44440i) q^{6} -2.53373i q^{7} +1.00000i q^{8} +(-2.97769 + 0.365218i) q^{9} +(1.33896 + 1.79086i) q^{10} +0.736692i q^{11} +(-1.55002 - 0.772939i) q^{12} +(2.38601 - 4.13269i) q^{13} +(1.26686 + 2.19427i) q^{14} +(-3.81081 + 0.691189i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.03960 + 1.80064i) q^{17} +(2.39614 - 1.80513i) q^{18} +(0.713722 - 4.30007i) q^{19} +(-2.05500 - 0.881452i) q^{20} +(-4.38038 + 0.267628i) q^{21} +(-0.368346 - 0.637994i) q^{22} +(-3.12477 + 5.41225i) q^{23} +(1.72883 - 0.105626i) q^{24} +(-4.86046 + 1.17301i) q^{25} +4.77202i q^{26} +(0.945920 + 5.10933i) q^{27} +(-2.19427 - 1.26686i) q^{28} +(1.30852 - 2.26642i) q^{29} +(2.95466 - 2.50399i) q^{30} +5.26487i q^{31} +(0.866025 + 0.500000i) q^{32} +(1.27361 - 0.0778138i) q^{33} +(-1.80064 - 1.03960i) q^{34} +(-5.62592 + 0.669264i) q^{35} +(-1.17255 + 2.76136i) q^{36} -10.3010 q^{37} +(1.53193 + 4.08083i) q^{38} +(-7.39673 - 3.68848i) q^{39} +(2.22041 - 0.264142i) q^{40} +(1.22616 + 2.12377i) q^{41} +(3.65970 - 2.42196i) q^{42} +(7.46202 - 4.30820i) q^{43} +(0.637994 + 0.368346i) q^{44} +(1.59747 + 6.51522i) q^{45} -6.24953i q^{46} +(-0.809291 + 1.40173i) q^{47} +(-1.44440 + 0.955888i) q^{48} +0.580221 q^{49} +(3.62278 - 3.44608i) q^{50} +(3.00319 - 1.98749i) q^{51} +(-2.38601 - 4.13269i) q^{52} +(-11.0525 - 6.38115i) q^{53} +(-3.37385 - 3.95185i) q^{54} +(1.63576 - 0.194591i) q^{55} +2.53373 q^{56} +(-7.50946 - 0.779703i) q^{57} +2.61704i q^{58} +(-2.59700 - 4.49814i) q^{59} +(-1.30682 + 3.64585i) q^{60} +(5.07194 - 8.78486i) q^{61} +(-2.63243 - 4.55951i) q^{62} +(0.925364 + 7.54465i) q^{63} -1.00000 q^{64} +(-9.80651 - 4.20630i) q^{65} +(-1.06407 + 0.704195i) q^{66} +(-2.74400 + 4.75275i) q^{67} +2.07920 q^{68} +(9.68690 + 4.83050i) q^{69} +(4.53756 - 3.39256i) q^{70} +(0.182067 + 0.315350i) q^{71} +(-0.365218 - 2.97769i) q^{72} +(-2.05162 + 1.18451i) q^{73} +(8.92092 - 5.15050i) q^{74} +(2.54132 + 8.27899i) q^{75} +(-3.36711 - 2.76814i) q^{76} +1.86658 q^{77} +(8.24999 - 0.504049i) q^{78} +(-0.280369 + 0.161871i) q^{79} +(-1.79086 + 1.33896i) q^{80} +(8.73323 - 2.17501i) q^{81} +(-2.12377 - 1.22616i) q^{82} +12.6729 q^{83} +(-1.95842 + 3.92733i) q^{84} +(3.72357 - 2.78397i) q^{85} +(-4.30820 + 7.46202i) q^{86} +(-4.05646 - 2.02281i) q^{87} -0.736692 q^{88} +(6.18913 - 10.7199i) q^{89} +(-4.64106 - 4.84361i) q^{90} +(-10.4711 - 6.04550i) q^{91} +(3.12477 + 5.41225i) q^{92} +(9.10205 - 0.556107i) q^{93} -1.61858i q^{94} +(-9.73645 - 0.448927i) q^{95} +(0.772939 - 1.55002i) q^{96} +(5.90419 + 10.2264i) q^{97} +(-0.502487 + 0.290111i) q^{98} +(-0.269053 - 2.19364i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 40 q^{4}+O(q^{10}) \) 80 * q + 40 * q^4	\( 80 q + 40 q^{4} + 30 q^{15} - 40 q^{16} + 8 q^{19} + 8 q^{25} - 4 q^{30} + 48 q^{39} + 12 q^{45} - 128 q^{49} - 36 q^{54} + 12 q^{55} + 30 q^{60} - 24 q^{61} - 80 q^{64} + 4 q^{66} + 36 q^{70} + 16 q^{76} + 24 q^{79} + 32 q^{81} - 8 q^{85} - 54 q^{90} + 24 q^{91} - 60 q^{99}+O(q^{100}) \) 80 * q + 40 * q^4 + 30 * q^15 - 40 * q^16 + 8 * q^19 + 8 * q^25 - 4 * q^30 + 48 * q^39 + 12 * q^45 - 128 * q^49 - 36 * q^54 + 12 * q^55 + 30 * q^60 - 24 * q^61 - 80 * q^64 + 4 * q^66 + 36 * q^70 + 16 * q^76 + 24 * q^79 + 32 * q^81 - 8 * q^85 - 54 * q^90 + 24 * q^91 - 60 * q^99

Introduction

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