LMFDB - Embedded newform 280.2.bf.a.109.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(109,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 3, 4]))

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

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

chi := DirichletCharacter("280.109");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bf (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			109.17
Character	$\chi$	$=$	280.109
Dual form			280.2.bf.a.149.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.479934 - 1.33029i) q^{2} +(-0.945048 + 1.63687i) q^{3} +(-1.53933 + 1.27690i) q^{4} +(-1.91034 - 1.16216i) q^{5} +(2.63107 + 0.471595i) q^{6} +(1.18371 - 2.36619i) q^{7} +(2.43742 + 1.43492i) q^{8} +(-0.286230 - 0.495764i) q^{9} +O(q^{10})$	\(q+(-0.479934 - 1.33029i) q^{2} +(-0.945048 + 1.63687i) q^{3} +(-1.53933 + 1.27690i) q^{4} +(-1.91034 - 1.16216i) q^{5} +(2.63107 + 0.471595i) q^{6} +(1.18371 - 2.36619i) q^{7} +(2.43742 + 1.43492i) q^{8} +(-0.286230 - 0.495764i) q^{9} +(-0.629165 + 3.09906i) q^{10} +(3.69425 + 2.13288i) q^{11} +(-0.635381 - 3.72641i) q^{12} -0.0529028 q^{13} +(-3.71581 - 0.439059i) q^{14} +(3.70766 - 2.02868i) q^{15} +(0.739056 - 3.93113i) q^{16} +(2.55838 + 1.47708i) q^{17} +(-0.522138 + 0.618702i) q^{18} +(6.81317 - 3.93359i) q^{19} +(4.42459 - 0.650372i) q^{20} +(2.75448 + 4.17373i) q^{21} +(1.06434 - 5.93805i) q^{22} +(2.58537 - 1.49266i) q^{23} +(-4.65225 + 2.63367i) q^{24} +(2.29879 + 4.44022i) q^{25} +(0.0253898 + 0.0703759i) q^{26} -4.58828 q^{27} +(1.19927 + 5.15381i) q^{28} -0.319885i q^{29} +(-4.47816 - 3.95862i) q^{30} +(1.65114 - 2.85987i) q^{31} +(-5.58423 + 0.903526i) q^{32} +(-6.98248 + 4.03134i) q^{33} +(0.737088 - 4.11228i) q^{34} +(-5.01116 + 3.14456i) q^{35} +(1.07364 + 0.397657i) q^{36} +(2.32066 + 4.01949i) q^{37} +(-8.50267 - 7.17561i) q^{38} +(0.0499956 - 0.0865950i) q^{39} +(-2.98869 - 5.57384i) q^{40} -6.88242 q^{41} +(4.23030 - 5.66736i) q^{42} +8.27988 q^{43} +(-8.41012 + 1.43399i) q^{44} +(-0.0293599 + 1.27972i) q^{45} +(-3.22647 - 2.72290i) q^{46} +(-5.62207 + 3.24590i) q^{47} +(5.73631 + 4.92485i) q^{48} +(-4.19767 - 5.60175i) q^{49} +(4.80351 - 5.18906i) q^{50} +(-4.83558 + 2.79182i) q^{51} +(0.0814347 - 0.0675515i) q^{52} +(-2.63284 + 4.56021i) q^{53} +(2.20207 + 6.10373i) q^{54} +(-4.57853 - 8.36781i) q^{55} +(6.28048 - 4.06886i) q^{56} +14.8697i q^{57} +(-0.425539 + 0.153524i) q^{58} +(0.268636 + 0.155097i) q^{59} +(-3.11688 + 7.85712i) q^{60} +(5.17560 - 2.98814i) q^{61} +(-4.59688 - 0.823950i) q^{62} +(-1.51188 + 0.0904322i) q^{63} +(3.88201 + 6.99500i) q^{64} +(0.101062 + 0.0614813i) q^{65} +(8.71396 + 7.35393i) q^{66} +(2.92458 - 5.06552i) q^{67} +(-5.82426 + 0.993081i) q^{68} +5.64254i q^{69} +(6.58820 + 5.15710i) q^{70} +13.0122 q^{71} +(0.0137208 - 1.61910i) q^{72} +(-3.00880 - 1.73713i) q^{73} +(4.23332 - 5.01623i) q^{74} +(-9.44053 - 0.433405i) q^{75} +(-5.46491 + 14.7548i) q^{76} +(9.41969 - 6.21658i) q^{77} +(-0.139191 - 0.0249487i) q^{78} +(-0.0362158 - 0.0627276i) q^{79} +(-5.98044 + 6.65089i) q^{80} +(5.19483 - 8.99772i) q^{81} +(3.30311 + 9.15560i) q^{82} -16.4117 q^{83} +(-9.56948 - 2.90755i) q^{84} +(-3.17077 - 5.79496i) q^{85} +(-3.97380 - 11.0146i) q^{86} +(0.523611 + 0.302307i) q^{87} +(5.94392 + 10.4997i) q^{88} +(5.52395 + 9.56777i) q^{89} +(1.71649 - 0.575124i) q^{90} +(-0.0626214 + 0.125178i) q^{91} +(-2.07375 + 5.59895i) q^{92} +(3.12082 + 5.40542i) q^{93} +(7.01620 + 5.92115i) q^{94} +(-17.5869 - 0.403486i) q^{95} +(3.79841 - 9.99454i) q^{96} +8.41967i q^{97} +(-5.43733 + 8.27257i) q^{98} -2.44197i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 40 * q^9	$ 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) $ 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.479934	−	1.33029i	−0.339364	−	0.940655i
$2$	−0.479934	−	1.33029i	−0.339364	−	0.940655i
$3$	−0.945048	+	1.63687i	−0.545623	+	0.945048i	0.452944	+	0.891539i	$0.350374\pi$
$3$	−0.945048	+	1.63687i	−0.545623	+	0.945048i	−0.998567	+	0.0535085i	$0.982960\pi$
$4$	−1.53933	+	1.27690i	−0.769664	+	0.638450i
$5$	−1.91034	−	1.16216i	−0.854329	−	0.519732i
$5$	−1.91034	−	1.16216i	−0.854329	−	0.519732i
$6$	2.63107	+	0.471595i	1.07413	+	0.192528i
$7$	1.18371	−	2.36619i	0.447400	−	0.894334i
$7$	1.18371	−	2.36619i	0.447400	−	0.894334i
$8$	2.43742	+	1.43492i	0.861757	+	0.507321i
$9$	−0.286230	−	0.495764i	−0.0954099	−	0.165255i
$10$	−0.629165	+	3.09906i	−0.198959	+	0.980008i
$11$	3.69425	+	2.13288i	1.11386	+	0.643086i	0.939826	−	0.341654i	$-0.110987\pi$
$11$	3.69425	+	2.13288i	1.11386	+	0.643086i	0.174032	+	0.984740i	$0.444320\pi$
$12$	−0.635381	−	3.72641i	−0.183419	−	1.07572i
$13$	−0.0529028			−0.0146726			−0.00733629	−	0.999973i	$-0.502335\pi$
$13$	−0.0529028			−0.0146726			−0.00733629	+	0.999973i	$0.502335\pi$
$14$	−3.71581	−	0.439059i	−0.993091	−	0.117344i
$15$	3.70766	−	2.02868i	0.957314	−	0.523804i
$16$	0.739056	−	3.93113i	0.184764	−	0.982783i
$17$	2.55838	+	1.47708i	0.620498	+	0.358244i	0.777063	−	0.629423i	$-0.216709\pi$
$17$	2.55838	+	1.47708i	0.620498	+	0.358244i	−0.156565	+	0.987668i	$0.550042\pi$
$18$	−0.522138	+	0.618702i	−0.123069	+	0.145829i
$19$	6.81317	−	3.93359i	1.56305	−	0.902426i	0.566102	−	0.824335i	$-0.308451\pi$
$19$	6.81317	−	3.93359i	1.56305	−	0.902426i	0.996946	−	0.0780913i	$-0.0248826\pi$
$20$	4.42459	−	0.650372i	0.989369	−	0.145428i
$21$	2.75448	+	4.17373i	0.601077	+	0.910784i
$22$	1.06434	−	5.93805i	0.226918	−	1.26600i
$23$	2.58537	−	1.49266i	0.539086	−	0.311241i	−0.205622	−	0.978631i	$-0.565922\pi$
$23$	2.58537	−	1.49266i	0.539086	−	0.311241i	0.744708	+	0.667390i	$0.232589\pi$
$24$	−4.65225	+	2.63367i	−0.949637	+	0.537595i
$25$	2.29879	+	4.44022i	0.459757	+	0.888045i
$26$	0.0253898	+	0.0703759i	0.00497935	+	0.0138018i
$27$	−4.58828			−0.883015
$28$	1.19927	+	5.15381i	0.226640	+	0.973979i
$29$		−	0.319885i		−	0.0594012i	−0.999559	−	0.0297006i	$-0.990545\pi$
$29$		−	0.319885i		−	0.0594012i	0.999559	−	0.0297006i	$-0.00945538\pi$
$30$	−4.47816	−	3.95862i	−0.817597	−	0.722741i
$31$	1.65114	−	2.85987i	0.296554	−	0.513647i	−0.678791	−	0.734332i	$-0.737496\pi$
$31$	1.65114	−	2.85987i	0.296554	−	0.513647i	0.975345	+	0.220684i	$0.0708291\pi$
$32$	−5.58423	+	0.903526i	−0.987162	+	0.159722i
$33$	−6.98248	+	4.03134i	−1.21549	+	0.701766i
$34$	0.737088	−	4.11228i	0.126410	−	0.705250i
$35$	−5.01116	+	3.14456i	−0.847041	+	0.531528i
$36$	1.07364	+	0.397657i	0.178940	+	0.0662762i
$37$	2.32066	+	4.01949i	0.381513	+	0.660801i	0.991279	−	0.131781i	$-0.0420697\pi$
$37$	2.32066	+	4.01949i	0.381513	+	0.660801i	−0.609765	+	0.792582i	$0.708736\pi$
$38$	−8.50267	−	7.17561i	−1.37931	−	1.16404i
$39$	0.0499956	−	0.0865950i	0.00800571	−	0.0138663i
$40$	−2.98869	−	5.57384i	−0.472554	−	0.881302i
$41$	−6.88242			−1.07485			−0.537427	−	0.843310i	$-0.680604\pi$
$41$	−6.88242			−1.07485			−0.537427	+	0.843310i	$0.680604\pi$
$42$	4.23030	−	5.66736i	0.652749	−	0.874493i
$43$	8.27988			1.26267			0.631335	−	0.775510i	$-0.282507\pi$
$43$	8.27988			1.26267			0.631335	+	0.775510i	$0.282507\pi$
$44$	−8.41012	+	1.43399i	−1.26787	+	0.216182i
$45$	−0.0293599	+	1.27972i	−0.00437671	+	0.190770i
$46$	−3.22647	−	2.72290i	−0.475717	−	0.401470i
$47$	−5.62207	+	3.24590i	−0.820063	+	0.473464i	−0.850438	−	0.526075i	$-0.823663\pi$
$47$	−5.62207	+	3.24590i	−0.820063	+	0.473464i	0.0303753	+	0.999539i	$0.490330\pi$
$48$	5.73631	+	4.92485i	0.827965	+	0.710840i
$49$	−4.19767	−	5.60175i	−0.599667	−	0.800250i
$50$	4.80351	−	5.18906i	0.679318	−	0.733844i
$51$	−4.83558	+	2.79182i	−0.677116	+	0.390933i
$52$	0.0814347	−	0.0675515i	0.0112930	−	0.00936771i
$53$	−2.63284	+	4.56021i	−0.361648	+	0.626392i	−0.988232	−	0.152961i	$-0.951119\pi$
$53$	−2.63284	+	4.56021i	−0.361648	+	0.626392i	0.626584	+	0.779354i	$0.284452\pi$
$54$	2.20207	+	6.10373i	0.299664	+	0.830613i
$55$	−4.57853	−	8.36781i	−0.617369	−	1.12831i
$56$	6.28048	−	4.06886i	0.839264	−	0.543724i
$57$			14.8697i			1.96954i
$58$	−0.425539	+	0.153524i	−0.0558760	+	0.0201586i
$59$	0.268636	+	0.155097i	0.0349734	+	0.0201919i	0.517385	−	0.855753i	$-0.326906\pi$
$59$	0.268636	+	0.155097i	0.0349734	+	0.0201919i	−0.482411	+	0.875945i	$0.660239\pi$
$60$	−3.11688	+	7.85712i	−0.402387	+	1.01435i
$61$	5.17560	−	2.98814i	0.662668	−	0.382592i	−0.130625	−	0.991432i	$-0.541698\pi$
$61$	5.17560	−	2.98814i	0.662668	−	0.382592i	0.793293	+	0.608840i	$0.208365\pi$
$62$	−4.59688	−	0.823950i	−0.583805	−	0.104642i
$63$	−1.51188	+	0.0904322i	−0.190479	+	0.0113934i
$64$	3.88201	+	6.99500i	0.485251	+	0.874375i
$65$	0.101062	+	0.0614813i	0.0125352	+	0.00762581i
$66$	8.71396	+	7.35393i	1.07261	+	0.905206i
$67$	2.92458	−	5.06552i	0.357294	−	0.618852i	−0.630213	−	0.776422i	$-0.717033\pi$
$67$	2.92458	−	5.06552i	0.357294	−	0.618852i	0.987508	+	0.157570i	$0.0503659\pi$
$68$	−5.82426	+	0.993081i	−0.706295	+	0.120429i
$69$			5.64254i			0.679283i
$70$	6.58820	+	5.15710i	0.787440	+	0.616391i
$71$	13.0122			1.54426			0.772131	−	0.635464i	$-0.219191\pi$
$71$	13.0122			1.54426			0.772131	+	0.635464i	$0.219191\pi$
$72$	0.0137208	−	1.61910i	0.00161702	−	0.190813i
$73$	−3.00880	−	1.73713i	−0.352153	−	0.203316i	0.313480	−	0.949595i	$-0.398505\pi$
$73$	−3.00880	−	1.73713i	−0.352153	−	0.203316i	−0.665633	+	0.746279i	$0.731838\pi$
$74$	4.23332	−	5.01623i	0.492113	−	0.583125i
$75$	−9.44053	−	0.433405i	−1.09010	−	0.0500453i
$76$	−5.46491	+	14.7548i	−0.626868	+	1.69249i
$77$	9.41969	−	6.21658i	1.07347	−	0.708445i
$78$	−0.139191	−	0.0249487i	−0.0157603	−	0.00282488i
$79$	−0.0362158	−	0.0627276i	−0.00407459	−	0.00705740i	0.863981	−	0.503525i	$-0.167964\pi$
$79$	−0.0362158	−	0.0627276i	−0.00407459	−	0.00705740i	−0.868056	+	0.496467i	$0.834630\pi$
$80$	−5.98044	+	6.65089i	−0.668633	+	0.743593i
$81$	5.19483	−	8.99772i	0.577204	−	0.999746i
$82$	3.30311	+	9.15560i	0.364767	+	1.01107i
$83$	−16.4117			−1.80142			−0.900712	−	0.434418i	$-0.856954\pi$
$83$	−16.4117			−1.80142			−0.900712	+	0.434418i	$0.856954\pi$
$84$	−9.56948	−	2.90755i	−1.04412	−	0.317240i
$85$	−3.17077	−	5.79496i	−0.343918	−	0.628551i
$86$	−3.97380	−	11.0146i	−0.428505	−	1.18774i
$87$	0.523611	+	0.302307i	0.0561369	+	0.0324107i
$88$	5.94392	+	10.4997i	0.633624	+	1.11927i
$89$	5.52395	+	9.56777i	0.585538	+	1.01418i	0.994808	+	0.101768i	$0.0324500\pi$
$89$	5.52395	+	9.56777i	0.585538	+	1.01418i	−0.409270	+	0.912413i	$0.634217\pi$
$90$	1.71649	−	0.575124i	0.180934	−	0.0606234i
$91$	−0.0626214	+	0.125178i	−0.00656451	+	0.0131222i
$92$	−2.07375	+	5.59895i	−0.216203	+	0.583731i
$93$	3.12082	+	5.40542i	0.323614	+	0.560516i
$94$	7.01620	+	5.92115i	0.723666	+	0.610720i
$95$	−17.5869	−	0.403486i	−1.80438	−	0.0413968i
$96$	3.79841	−	9.99454i	0.387674	−	1.02006i
$97$			8.41967i			0.854888i	0.904042	+	0.427444i	$0.140586\pi$
$97$			8.41967i			0.854888i	−0.904042	+	0.427444i	$0.859414\pi$
$98$	−5.43733	+	8.27257i	−0.549253	+	0.835656i
$99$		−	2.44197i		−	0.245427i
$100$	−9.20830	−	3.89964i	−0.920830	−	0.389964i
$101$	1.88951	+	1.09091i	0.188013	+	0.108549i	0.591052	−	0.806633i	$-0.298713\pi$
$101$	1.88951	+	1.09091i	0.188013	+	0.108549i	−0.403039	+	0.915183i	$0.632046\pi$
$102$	6.03468	+	5.09281i	0.597522	+	0.504264i
$103$	15.1949	−	8.77277i	1.49720	−	0.864407i	0.497202	−	0.867635i	$-0.334361\pi$
$103$	15.1949	−	8.77277i	1.49720	−	0.864407i	0.999995	+	0.00322754i	$0.00102736\pi$
$104$	−0.128946	−	0.0759112i	−0.0126442	−	0.00744371i
$105$	−0.411456	−	11.1744i	−0.0401540	−	1.09051i
$106$	7.32997	+	1.31383i	0.711950	+	0.127611i
$107$	3.94093	+	6.82589i	0.380984	+	0.659884i	0.991203	−	0.132349i	$-0.0422519\pi$
$107$	3.94093	+	6.82589i	0.380984	+	0.659884i	−0.610219	+	0.792233i	$0.708919\pi$
$108$	7.06287	−	5.85877i	0.679625	−	0.563761i
$109$	−13.2445	−	7.64674i	−1.26860	−	0.732425i	−0.293875	−	0.955844i	$-0.594945\pi$
$109$	−13.2445	−	7.64674i	−1.26860	−	0.732425i	−0.974723	+	0.223419i	$0.928278\pi$
$110$	−8.93419	+	10.1068i	−0.851842	+	0.963641i
$111$	−8.77252			−0.832651
$112$	−8.42696	−	6.40206i	−0.796273	−	0.604938i
$113$		−	18.2397i		−	1.71585i	−0.513777	−	0.857924i	$-0.671754\pi$
$113$		−	18.2397i		−	1.71585i	0.513777	−	0.857924i	$-0.328246\pi$
$114$	19.7810	−	7.13647i	1.85266	−	0.668392i
$115$	−6.67363	−	0.153109i	−0.622319	−	0.0142775i
$116$	0.408461	+	0.492408i	0.0379247	+	0.0457189i
$117$	0.0151423	+	0.0262273i	0.00139991	+	0.00242472i
$118$	0.0773960	−	0.431799i	0.00712488	−	0.0397503i
$119$	6.52342	−	4.30516i	0.598001	−	0.394654i
$120$	11.9481	+	0.375444i	1.09071	+	0.0342732i
$121$	3.59831	+	6.23246i	0.327119	+	0.566588i
$122$	−6.45902	−	5.45093i	−0.584773	−	0.493504i
$123$	6.50422	−	11.2656i	0.586466	−	1.01579i
$124$	1.11011	+	6.51062i	0.0996908	+	0.584671i
$125$	0.768769	−	11.1539i	0.0687608	−	0.997633i
$126$	0.845904	+	1.96784i	0.0753592	+	0.175309i
$127$			9.78604i			0.868370i	0.900824	+	0.434185i	$0.142964\pi$
$127$			9.78604i			0.868370i	−0.900824	+	0.434185i	$0.857036\pi$
$128$	7.44225	−	8.52132i	0.657808	−	0.753186i
$129$	−7.82488	+	13.5531i	−0.688943	+	1.19328i
$130$	0.0332846	−	0.163949i	0.00291925	−	0.0143792i
$131$	−1.81402	+	1.04733i	−0.158492	+	0.0915053i	−0.577148	−	0.816639i	$-0.695835\pi$
$131$	−1.81402	+	1.04733i	−0.158492	+	0.0915053i	0.418656	+	0.908145i	$0.362501\pi$
$132$	5.60071	−	15.1215i	0.487479	−	1.31616i
$133$	−1.24279	−	20.7774i	−0.107763	−	1.80163i
$134$	−8.14221	−	1.45942i	−0.703379	−	0.126074i
$135$	8.76517	+	5.33230i	0.754386	+	0.458931i
$136$	4.11634	+	7.27133i	0.352973	+	0.623511i
$137$	2.79381	+	1.61301i	0.238691	+	0.137808i	0.614575	−	0.788858i	$-0.289328\pi$
$137$	2.79381	+	1.61301i	0.238691	+	0.137808i	−0.375884	+	0.926667i	$0.622661\pi$
$138$	7.50620	−	2.70805i	0.638971	−	0.230524i
$139$		−	16.7504i		−	1.42075i	−0.703821	−	0.710377i	$-0.748524\pi$
$139$		−	16.7504i		−	1.42075i	0.703821	−	0.710377i	$-0.251476\pi$
$140$	3.69853	−	11.2393i	0.312582	−	0.949891i
$141$		−	12.2701i		−	1.03333i
$142$	−6.24498	−	17.3099i	−0.524067	−	1.45262i
$143$	−0.195436	−	0.112835i	−0.0163432	−	0.00943574i
$144$	−2.16045	+	0.758809i	−0.180038	+	0.0632341i
$145$	−0.371756	+	0.611089i	−0.0308727	+	0.0507482i
$146$	−0.866857	+	4.83627i	−0.0717416	+	0.400252i
$147$	13.1363	−	1.57712i	1.08347	−	0.130079i
$148$	−8.70474	−	3.22407i	−0.715525	−	0.265017i
$149$	−19.3704	+	11.1835i	−1.58688	+	0.916188i	−0.593068	+	0.805152i	$0.702083\pi$
$149$	−19.3704	+	11.1835i	−1.58688	+	0.916188i	−0.993816	+	0.111036i	$0.964583\pi$
$150$	3.95428	+	12.7666i	0.322865	+	1.04239i
$151$	−6.58630	+	11.4078i	−0.535985	+	0.928354i	0.463130	+	0.886291i	$0.346726\pi$
$151$	−6.58630	+	11.4078i	−0.535985	+	0.928354i	−0.999115	+	0.0420633i	$0.986607\pi$
$152$	22.2509	+	0.188562i	1.80479	+	0.0152944i
$153$		−	1.69114i		−	0.136720i
$154$	−12.7907	−	9.54735i	−1.03070	−	0.769347i
$155$	−6.47786	+	3.54443i	−0.520314	+	0.284695i
$156$	0.0336134	+	0.197137i	0.00269123	+	0.0157836i
$157$	0.467909	−	0.810441i	0.0373432	−	0.0646803i	−0.846750	−	0.531991i	$-0.821444\pi$
$157$	0.467909	−	0.810441i	0.0373432	−	0.0646803i	0.884093	+	0.467311i	$0.154777\pi$
$158$	−0.0660645	+	0.0782824i	−0.00525581	+	0.00622782i
$159$	−4.97631	−	8.61922i	−0.394647	−	0.683549i
$160$	11.7178	+	4.76371i	0.926374	+	0.376604i
$161$	−0.471596	−	7.88433i	−0.0371670	−	0.621372i
$162$	−14.4627	−	2.59231i	−1.13630	−	0.203671i
$163$	−0.669947	−	1.16038i	−0.0524743	−	0.0908881i	0.838595	−	0.544755i	$-0.183377\pi$
$163$	−0.669947	−	1.16038i	−0.0524743	−	0.0908881i	−0.891069	+	0.453867i	$0.850044\pi$
$164$	10.5943	−	8.78816i	0.827276	−	0.686240i
$165$	18.0239	+	0.413513i	1.40316	+	0.0321919i
$166$	7.87655	+	21.8323i	0.611339	+	1.69452i
$167$			14.4957i			1.12171i	0.827914	+	0.560855i	$0.189527\pi$
$167$			14.4957i			1.12171i	−0.827914	+	0.560855i	$0.810473\pi$
$168$	0.724840	+	14.1256i	0.0559226	+	1.08981i
$169$	−12.9972			−0.999785
$170$	−6.18720	+	6.99923i	−0.474536	+	0.536816i
$171$	−3.90026	−	2.25182i	−0.298261	−	0.172201i
$172$	−12.7455	+	10.5726i	−0.971832	+	0.806152i
$173$	−2.39733	−	4.15229i	−0.182265	−	0.315693i	0.760386	−	0.649471i	$-0.225010\pi$
$173$	−2.39733	−	4.15229i	−0.182265	−	0.315693i	−0.942652	+	0.333778i	$0.891676\pi$
$174$	0.150856	−	0.841640i	0.0114364	−	0.0638045i
$175$	13.2275	−	0.183429i	0.999904	−	0.0138659i
$176$	11.1149	−	12.9463i	0.837815	−	0.975861i
$177$	−0.507747	+	0.293148i	−0.0381646	+	0.0220343i
$178$	10.0767	−	11.9403i	0.755284	−	0.894966i
$179$	14.4325	+	8.33262i	1.07874	+	0.622809i	0.930555	−	0.366151i	$-0.119325\pi$
$179$	14.4325	+	8.33262i	1.07874	+	0.622809i	0.148182	+	0.988960i	$0.452658\pi$
$180$	−1.58888	−	2.00740i	−0.118428	−	0.149623i
$181$			7.35525i			0.546711i	0.961913	+	0.273356i	$0.0881336\pi$
$181$			7.35525i			0.546711i	−0.961913	+	0.273356i	$0.911866\pi$
$182$	0.196577	+	0.0232275i	0.0145712	+	0.00172173i
$183$			11.2957i			0.835004i
$184$	8.44347	+	0.0715529i	0.622461	+	0.00527495i
$185$	0.238040	−	10.3756i	0.0175011	−	0.762826i
$186$	5.69297	−	6.74583i	0.417429	−	0.494628i
$187$	6.30085	+	10.9134i	0.460764	+	0.798067i
$188$	4.50951	−	12.1753i	0.328890	−	0.887977i
$189$	−5.43119	+	10.8567i	−0.395061	+	0.789711i
$190$	7.90380	+	23.5893i	0.573402	+	1.71135i
$191$	−10.2408	−	17.7377i	−0.741002	−	1.28345i	−0.952040	−	0.305975i	$-0.901018\pi$
$191$	−10.2408	−	17.7377i	−0.741002	−	1.28345i	0.211038	−	0.977478i	$-0.432316\pi$
$192$	−15.1186	−	0.256259i	−1.09109	−	0.0184939i
$193$	−2.19407	−	1.26674i	−0.157932	−	0.0911823i	0.418951	−	0.908009i	$-0.362398\pi$
$193$	−2.19407	−	1.26674i	−0.157932	−	0.0911823i	−0.576883	+	0.816827i	$0.695731\pi$
$194$	11.2006	−	4.04088i	0.804155	−	0.290119i
$195$	−0.196145	+	0.107323i	−0.0140463	+	0.00768556i
$196$	13.6145	+	3.26292i	0.972461	+	0.233066i
$197$	−19.3656			−1.37974			−0.689870	−	0.723933i	$-0.742332\pi$
$197$	−19.3656			−1.37974			−0.689870	+	0.723933i	$0.742332\pi$
$198$	−3.24852	+	1.17198i	−0.230862	+	0.0832892i
$199$	−8.35808	+	14.4766i	−0.592489	+	1.02622i	0.401407	+	0.915900i	$0.368521\pi$
$199$	−8.35808	+	14.4766i	−0.592489	+	1.02622i	−0.993896	+	0.110321i	$0.964812\pi$
$200$	−0.768259	+	14.1213i	−0.0543241	+	0.998523i
$201$	5.52774	+	9.57432i	0.389897	+	0.675321i
$202$	0.544382	−	3.03715i	0.0383026	−	0.213693i
$203$	−0.756908	−	0.378651i	−0.0531245	−	0.0265761i
$204$	3.87866	−	10.4721i	0.271560	−	0.733192i
$205$	13.1478	+	7.99845i	0.918280	+	0.558636i
$206$	−18.9628	−	16.0032i	−1.32120	−	1.11500i
$207$	−1.48002	−	0.854488i	−0.102868	−	0.0593910i
$208$	−0.0390981	+	0.207968i	−0.00271097	+	0.0144200i
$209$	33.5594			2.32135
$210$	−14.6677	+	5.91032i	−1.01216	+	0.407851i
$211$		−	2.95280i		−	0.203279i	−0.994821	−	0.101639i	$-0.967591\pi$
$211$		−	2.95280i		−	0.203279i	0.994821	−	0.101639i	$-0.0324088\pi$
$212$	−1.77013	−	10.3815i	−0.121573	−	0.713005i
$213$	−12.2971	+	21.2992i	−0.842585	+	1.45940i
$214$	7.18901	−	8.51854i	0.491431	−	0.582316i
$215$	−15.8174	−	9.62252i	−1.07874	−	0.656250i
$216$	−11.1836	−	6.58382i	−0.760945	−	0.447972i
$217$	−4.81250	−	7.29216i	−0.326694	−	0.495024i
$218$	−3.81586	+	21.2890i	−0.258442	+	1.44187i
$219$	5.68691	−	3.28334i	0.384286	−	0.221867i
$220$	17.7327	+	7.03447i	1.19554	+	0.474264i
$221$	−0.135345	−	0.0781416i	−0.00910431	−	0.00525637i
$222$	4.21023	+	11.6700i	0.282572	+	0.783237i
$223$			8.87772i			0.594496i	0.954800	+	0.297248i	$0.0960689\pi$
$223$			8.87772i			0.594496i	−0.954800	+	0.297248i	$0.903931\pi$
$224$	−4.47219	+	14.2828i	−0.298811	+	0.954312i
$225$	1.54332	−	2.41058i	0.102888	−	0.160705i
$226$	−24.2641	+	8.75385i	−1.61402	+	0.582298i
$227$	5.47744	−	9.48720i	0.363550	−	0.629687i	−0.624992	−	0.780631i	$-0.714898\pi$
$227$	5.47744	−	9.48720i	0.363550	−	0.629687i	0.988542	+	0.150944i	$0.0482312\pi$
$228$	−18.9871	−	22.8893i	−1.25745	−	1.51588i
$229$	−11.3390	+	6.54660i	−0.749305	+	0.432611i	−0.825443	−	0.564486i	$-0.809074\pi$
$229$	−11.3390	+	6.54660i	−0.749305	+	0.432611i	0.0761379	+	0.997097i	$0.475741\pi$
$230$	2.99922	+	8.95133i	0.197763	+	0.590233i
$231$	1.27367	+	21.2938i	0.0838015	+	1.40103i
$232$	0.459010	−	0.779694i	0.0301355	−	0.0511894i
$233$	13.9140	−	8.03325i	0.911536	−	0.526275i	0.0306108	−	0.999531i	$-0.490255\pi$
$233$	13.9140	−	8.03325i	0.911536	−	0.526275i	0.880925	+	0.473256i	$0.156921\pi$
$234$	0.0276225	−	0.0327310i	0.00180574	−	0.00213969i
$235$	14.5123	+	0.332947i	0.946678	+	0.0217191i
$236$	−0.611561	+	0.104276i	−0.0398092	+	0.00678778i
$237$	0.136903			0.00889277
$238$	−8.85791	−	6.61182i	−0.574173	−	0.428581i
$239$	−6.30662			−0.407942			−0.203971	−	0.978977i	$-0.565385\pi$
$239$	−6.30662			−0.407942			−0.203971	+	0.978977i	$0.565385\pi$
$240$	−5.23485	−	16.0746i	−0.337908	−	1.03761i
$241$	−5.65614	+	9.79672i	−0.364344	+	0.631062i	−0.988671	−	0.150101i	$-0.952040\pi$
$241$	−5.65614	+	9.79672i	−0.364344	+	0.631062i	0.624327	+	0.781163i	$0.285373\pi$
$242$	6.56401	−	7.77796i	0.421951	−	0.499986i
$243$	2.93631	+	5.08583i	0.188364	+	0.326256i
$244$	−4.15140	+	11.2084i	−0.265766	+	0.717547i
$245$	1.50887	+	15.5796i	0.0963979	+	0.995343i
$246$	−18.1081	−	3.24572i	−1.15453	−	0.206939i
$247$	−0.360436	+	0.208098i	−0.0229340	+	0.0132409i
$248$	8.12821	−	4.60143i	0.516142	−	0.292191i
$249$	15.5099	−	26.8639i	0.982899	−	1.70243i
$250$	−15.2068	+	4.33044i	−0.961764	+	0.273881i
$251$			7.80726i			0.492790i	0.969170	+	0.246395i	$0.0792460\pi$
$251$			7.80726i			0.492790i	−0.969170	+	0.246395i	$0.920754\pi$
$252$	2.21181	−	2.06973i	0.139331	−	0.130381i
$253$	12.7346			0.800620
$254$	13.0182	−	4.69665i	0.816837	−	0.294694i
$255$	12.4821	+	0.286370i	0.781661	+	0.0179332i
$256$	−14.9076	−	5.81066i	−0.931724	−	0.363166i
$257$	6.47413	−	3.73784i	0.403845	−	0.233160i	−0.284297	−	0.958736i	$-0.591760\pi$
$257$	6.47413	−	3.73784i	0.403845	−	0.233160i	0.688142	+	0.725576i	$0.258427\pi$
$258$	21.7849	+	3.90475i	1.35627	+	0.243099i
$259$	12.2578	−	0.733195i	0.761666	−	0.0455585i
$260$	−0.234073	+	0.0344065i	−0.0145166	+	0.00213380i
$261$	−0.158588	+	0.0915606i	−0.00981633	+	0.00566746i
$262$	2.26385	+	1.91052i	0.139861	+	0.118032i
$263$	−10.8501	−	6.26433i	−0.669048	−	0.386275i	0.126668	−	0.991945i	$-0.459572\pi$
$263$	−10.8501	−	6.26433i	−0.669048	−	0.386275i	−0.795716	+	0.605670i	$0.792905\pi$
$264$	−22.8039	−	0.193248i	−1.40348	−	0.0118936i
$265$	10.3293	−	5.65177i	0.634523	−	0.347186i
$266$	−27.0435	+	11.6251i	−1.65814	+	0.712778i
$267$	−20.8816			−1.27793
$268$	1.96628	+	11.5319i	0.120109	+	0.704423i
$269$	−2.81587	−	1.62575i	−0.171687	−	0.0991235i	0.411694	−	0.911322i	$-0.364937\pi$
$269$	−2.81587	−	1.62575i	−0.171687	−	0.0991235i	−0.583381	+	0.812199i	$0.698271\pi$
$270$	2.88679	−	14.2193i	0.175684	−	0.865362i
$271$	−0.554348	−	0.960159i	−0.0336742	−	0.0583255i	0.848697	−	0.528879i	$-0.177388\pi$
$271$	−0.554348	−	0.960159i	−0.0336742	−	0.0583255i	−0.882371	+	0.470554i	$0.844054\pi$
$272$	7.69738	−	8.96567i	0.466722	−	0.543624i
$273$	−0.145720	−	0.220802i	−0.00881935	−	0.0133636i
$274$	0.804918	−	4.49070i	0.0486269	−	0.271293i
$275$	−0.978151	+	21.3063i	−0.0589847	+	1.28482i
$276$	−7.20496	−	8.68572i	−0.433688	−	0.522819i
$277$	4.04426	−	7.00486i	0.242996	−	0.420881i	−0.718570	−	0.695454i	$-0.755203\pi$
$277$	4.04426	−	7.00486i	0.242996	−	0.420881i	0.961566	+	0.274573i	$0.0885365\pi$
$278$	−22.2829	+	8.03910i	−1.33644	+	0.482153i
$279$	−1.89043			−0.113177
$280$	−16.7265	+	0.473998i	−0.999599	+	0.0283268i
$281$	−11.5897			−0.691382			−0.345691	−	0.938348i	$-0.612355\pi$
$281$	−11.5897			−0.691382			−0.345691	+	0.938348i	$0.612355\pi$
$282$	−16.3228	+	5.88885i	−0.972008	+	0.350676i
$283$	−9.91773	+	17.1780i	−0.589548	+	1.02113i	0.404744	+	0.914430i	$0.367361\pi$
$283$	−9.91773	+	17.1780i	−0.589548	+	1.02113i	−0.994292	+	0.106696i	$0.965973\pi$
$284$	−20.0300	+	16.6152i	−1.18856	+	0.985933i
$285$	17.2809	−	28.4062i	1.02363	−	1.68264i
$286$	−0.0563066	+	0.314139i	−0.00332948	+	0.0185754i
$287$	−8.14678	+	16.2851i	−0.480889	+	0.961279i
$288$	2.04631	+	2.50985i	0.120580	+	0.147894i
$289$	−4.13647	−	7.16458i	−0.243322	−	0.421446i
$290$	0.991342	+	0.201261i	0.0582136	+	0.0118184i
$291$	−13.7819	−	7.95699i	−0.807910	−	0.466447i
$292$	6.84966	−	1.16792i	0.400846	−	0.0683473i
$293$	0.0170023			0.000993288			0.000496644	−	1.00000i	$-0.499842\pi$
$293$	0.0170023			0.000993288			0.000496644		1.00000i	$0.499842\pi$
$294$	−8.40260	−	16.7182i	−0.490049	−	0.975024i
$295$	−0.332938	−	0.608484i	−0.0193844	−	0.0354273i
$296$	−0.111244	+	13.1271i	−0.00646593	+	0.762999i
$297$	−16.9503	−	9.78623i	−0.983554	−	0.567855i
$298$	24.1738	+	20.4008i	1.40035	+	1.18179i
$299$	−0.136773	+	0.0789659i	−0.00790979	+	0.00456672i
$300$	15.0855	−	11.3875i	0.870961	−	0.657455i
$301$	9.80097	−	19.5917i	0.564918	−	1.12925i
$302$	18.3366	+	3.28668i	1.05516	+	0.189127i
$303$	−3.57135	+	2.06192i	−0.205169	+	0.118454i
$304$	−10.4281	−	29.6906i	−0.598094	−	1.70287i
$305$	−13.3598	−	0.306507i	−0.764982	−	0.0175505i
$306$	−2.24970	+	0.811633i	−0.128607	+	0.0463980i
$307$	−0.271489			−0.0154947			−0.00774735	−	0.999970i	$-0.502466\pi$
$307$	−0.271489			−0.0154947			−0.00774735	+	0.999970i	$0.502466\pi$
$308$	−6.56205	+	21.5973i	−0.373907	+	1.23062i
$309$			33.1628i			1.88656i
$310$	7.82405	+	6.91632i	0.444376	+	0.392821i
$311$	9.94095	−	17.2182i	0.563700	−	0.976356i	−0.433470	−	0.901168i	$-0.642711\pi$
$311$	9.94095	−	17.2182i	0.563700	−	0.976356i	0.997169	−	0.0751882i	$-0.0239558\pi$
$312$	0.246117	−	0.139328i	0.0139336	−	0.00788792i
$313$	−12.1251	+	7.00046i	−0.685354	+	0.395689i	−0.801869	−	0.597500i	$-0.796161\pi$
$313$	−12.1251	+	7.00046i	−0.685354	+	0.395689i	0.116515	+	0.993189i	$0.462828\pi$
$314$	−1.30268	−	0.233495i	−0.0735148	−	0.0131769i
$315$	2.99330	+	1.58429i	0.168654	+	0.0892645i
$316$	0.135845	+	0.0503143i	0.00764186	+	0.00283040i
$317$	0.345962	+	0.599223i	0.0194311	+	0.0336557i	0.875577	−	0.483078i	$-0.160481\pi$
$317$	0.345962	+	0.599223i	0.0194311	+	0.0336557i	−0.856146	+	0.516733i	$0.827148\pi$
$318$	−9.07774	+	10.7566i	−0.509054	+	0.603199i
$319$	0.682275	−	1.18174i	0.0382001	−	0.0661645i
$320$	0.713325	−	17.8743i	0.0398761	−	0.999205i
$321$	−14.8975			−0.831495
$322$	−10.2621	+	4.41131i	−0.571884	+	0.245833i
$323$	23.2409			1.29316
$324$	3.49263	+	20.4837i	0.194035	+	1.13798i
$325$	−0.121612	−	0.234900i	−0.00674583	−	0.0130299i
$326$	−1.22211	+	1.44813i	−0.0676865	+	0.0802044i
$327$	25.0334	−	14.4531i	1.38435	−	0.799256i
$328$	−16.7753	−	9.87573i	−0.926263	−	0.545296i
$329$	1.02552	+	17.1451i	0.0565387	+	0.945238i
$330$	−8.10021	−	24.1755i	−0.445902	−	1.33082i
$331$	−12.0256	+	6.94301i	−0.660989	+	0.381622i	−0.792654	−	0.609672i	$-0.791301\pi$
$331$	−12.0256	+	6.94301i	−0.660989	+	0.381622i	0.131664	+	0.991294i	$0.457968\pi$
$332$	25.2630	−	20.9561i	1.38649	−	1.15012i
$333$	1.32848	−	2.30100i	0.0728003	−	0.126094i
$334$	19.2834	−	6.95697i	1.05514	−	0.380668i
$335$	−11.4739	+	6.27805i	−0.626884	+	0.343006i
$336$	18.4432	−	7.74359i	1.00616	−	0.422448i
$337$		−	23.7751i		−	1.29511i	−0.762018	−	0.647556i	$-0.775791\pi$
$337$		−	23.7751i		−	1.29511i	0.762018	−	0.647556i	$-0.224209\pi$
$338$	6.23780	+	17.2900i	0.339291	+	0.940452i
$339$	29.8560	+	17.2374i	1.62156	+	0.936207i
$340$	12.2804	+	4.87158i	0.666000	+	0.264198i
$341$	12.1995	−	7.04337i	0.660639	−	0.381420i
$342$	−1.12370	+	6.26919i	−0.0607625	+	0.338999i
$343$	−18.2236	+	3.30163i	−0.983981	+	0.178271i
$344$	20.1815	+	11.8810i	1.08812	+	0.640579i
$345$	6.55752	−	10.7792i	0.353045	−	0.580331i
$346$	−4.37318	+	5.18196i	−0.235104	+	0.278584i
$347$	−7.73144	+	13.3912i	−0.415045	+	0.718880i	−0.995433	−	0.0954606i	$-0.969568\pi$
$347$	−7.73144	+	13.3912i	−0.415045	+	0.718880i	0.580388	+	0.814340i	$0.302901\pi$
$348$	−1.19202	+	0.203249i	−0.0638991	+	0.0108953i
$349$		−	27.3082i		−	1.46178i	−0.682497	−	0.730888i	$-0.739106\pi$
$349$		−	27.3082i		−	1.46178i	0.682497	−	0.730888i	$-0.260894\pi$
$350$	−6.59233	−	17.5083i	−0.352375	−	0.935859i
$351$	0.242733			0.0129561
$352$	−22.5566	−	8.57262i	−1.20227	−	0.456922i
$353$	23.9112	+	13.8051i	1.27266	+	0.734773i	0.975489	−	0.220049i	$-0.0706219\pi$
$353$	23.9112	+	13.8051i	1.27266	+	0.734773i	0.297176	+	0.954823i	$0.403955\pi$
$354$	0.633656	+	0.534758i	0.0336784	+	0.0284220i
$355$	−24.8577	−	15.1222i	−1.31931	−	0.802602i
$356$	−20.7202	−	7.67439i	−1.09817	−	0.406742i
$357$	0.882056	+	14.7466i	0.0466834	+	0.780471i
$358$	4.15812	−	23.1985i	0.219764	−	1.22608i
$359$	−9.44642	−	16.3617i	−0.498563	−	0.863536i	0.501436	−	0.865195i	$-0.332805\pi$
$359$	−9.44642	−	16.3617i	−0.498563	−	0.863536i	−0.999999	+	0.00165880i	$0.999472\pi$
$360$	−1.90786	+	3.07709i	−0.100553	+	0.162177i
$361$	21.4462	−	37.1459i	1.12875	−	1.95505i
$362$	9.78459	−	3.53003i	0.514267	−	0.185534i
$363$	−13.6023			−0.713936
$364$	−0.0634445	−	0.272651i	−0.00332540	−	0.0142908i
$365$	3.72900	+	6.81519i	0.195185	+	0.356724i
$366$	15.0265	−	5.42120i	0.785450	−	0.283371i
$367$	6.77391	+	3.91092i	0.353595	+	0.204148i	0.666268	−	0.745713i	$-0.267891\pi$
$367$	6.77391	+	3.91092i	0.353595	+	0.204148i	−0.312672	+	0.949861i	$0.601224\pi$
$368$	−3.95712	−	11.2666i	−0.206279	−	0.587311i
$369$	1.96995	+	3.41206i	0.102552	+	0.177625i
$370$	−13.9167	+	4.66292i	−0.723495	+	0.242414i
$371$	7.67378	+	11.6277i	0.398403	+	0.603682i
$372$	−11.7061	−	4.33574i	−0.606935	−	0.224797i
$373$	4.39809	+	7.61772i	0.227725	+	0.394430i	0.957133	−	0.289648i	$-0.0935381\pi$
$373$	4.39809	+	7.61772i	0.227725	+	0.394430i	−0.729409	+	0.684078i	$0.760205\pi$
$374$	11.4940	−	13.6197i	0.594339	−	0.704255i
$375$	17.5309	+	11.7993i	0.905293	+	0.609314i
$376$	−18.3609	−	0.155597i	−0.946893	−	0.00802431i
$377$			0.0169228i			0.000871569i
$378$	17.0492	+	2.01453i	0.876915	+	0.103616i
$379$		−	12.5455i		−	0.644420i	−0.946668	−	0.322210i	$-0.895574\pi$
$379$		−	12.5455i		−	0.644420i	0.946668	−	0.322210i	$-0.104426\pi$
$380$	27.5872	−	21.8356i	1.41519	−	1.12014i
$381$	−16.0185	−	9.24827i	−0.820651	−	0.473803i
$382$	−18.6813	+	22.1362i	−0.955816	+	1.13258i
$383$	−13.7089	+	7.91482i	−0.700490	+	0.404428i	−0.807530	−	0.589827i	$-0.799196\pi$
$383$	−13.7089	+	7.91482i	−0.700490	+	0.404428i	0.107040	+	0.994255i	$0.465863\pi$
$384$	6.91502	+	20.2351i	0.352881	+	1.03262i
$385$	−25.2194	+	0.928614i	−1.28530	+	0.0473266i
$386$	−0.632128	+	3.52669i	−0.0321744	+	0.179504i
$387$	−2.36995	−	4.10487i	−0.120471	−	0.208662i
$388$	−10.7511	−	12.9606i	−0.545803	−	0.657976i
$389$	19.3293	+	11.1598i	0.980032	+	0.565822i	0.902280	−	0.431151i	$-0.141892\pi$
$389$	19.3293	+	11.1598i	0.980032	+	0.565822i	0.0777525	+	0.996973i	$0.475226\pi$
$390$	0.236907	+	0.209422i	0.0119963	+	0.0106045i
$391$	8.81912			0.446002
$392$	−2.19342	−	19.6771i	−0.110784	−	0.993844i
$393$		−	3.95909i		−	0.199710i
$394$	9.29420	+	25.7618i	0.468235	+	1.29786i
$395$	−0.00371482	+	0.161919i	−0.000186913	+	0.00814704i
$396$	3.11815	+	3.75899i	0.156693	+	0.188896i
$397$	13.9001	+	24.0757i	0.697627	+	1.20832i	0.969287	+	0.245932i	$0.0790939\pi$
$397$	13.9001	+	24.0757i	0.697627	+	1.20832i	−0.271661	+	0.962393i	$0.587573\pi$
$398$	23.2694	+	4.17083i	1.16639	+	0.209065i
$399$	35.1845	+	17.6014i	1.76143	+	0.881172i
$400$	19.1540	−	5.75526i	0.957702	−	0.287763i
$401$	19.0841	+	33.0546i	0.953013	+	1.65067i	0.738852	+	0.673868i	$0.235368\pi$
$401$	19.0841	+	33.0546i	0.953013	+	1.65067i	0.214160	+	0.976799i	$0.431298\pi$
$402$	10.0836	−	11.9485i	0.502927	−	0.595938i
$403$	−0.0873501	+	0.151295i	−0.00435122	+	0.00753653i
$404$	−4.30155	+	0.733447i	−0.214010	+	0.0364903i
$405$	−20.3806	+	11.1515i	−1.01272	+	0.554121i
$406$	−0.140449	+	1.18863i	−0.00697035	+	0.0589908i
$407$			19.7987i			0.981384i
$408$	−15.7924	−	0.133830i	−0.781838	−	0.00662558i
$409$	−7.64699	+	13.2450i	−0.378120	+	0.654922i	−0.990789	−	0.135417i	$-0.956762\pi$
$409$	−7.64699	+	13.2450i	−0.378120	+	0.654922i	0.612669	+	0.790339i	$0.290096\pi$
$410$	4.33018	−	21.3290i	0.213852	−	1.05337i
$411$	−5.28056	+	3.04874i	−0.260471	+	0.150383i
$412$	−12.1880	+	32.9065i	−0.600458	+	1.62119i
$413$	0.684974	−	0.452052i	0.0337054	−	0.0222440i
$414$	−0.426404	+	2.37894i	−0.0209566	+	0.116919i
$415$	31.3520	+	19.0730i	1.53901	+	0.936257i
$416$	0.295421	−	0.0477990i	0.0144842	−	0.00234354i
$417$	27.4183	+	15.8300i	1.34268	+	0.775197i
$418$	−16.1063	−	44.6436i	−0.787784	−	2.18359i
$419$		−	8.41144i		−	0.410926i	−0.978665	−	0.205463i	$-0.934130\pi$
$419$		−	8.41144i		−	0.410926i	0.978665	−	0.205463i	$-0.0658700\pi$
$420$	14.9019	+	16.6756i	0.727139	+	0.813688i
$421$			26.2101i			1.27740i	0.769455	+	0.638701i	$0.220528\pi$
$421$			26.2101i			1.27740i	−0.769455	+	0.638701i	$0.779472\pi$
$422$	−3.92807	+	1.41715i	−0.191215	+	0.0689856i
$423$	3.21841	+	1.85815i	0.156484	+	0.0903462i
$424$	−12.9609	+	7.33722i	−0.629435	+	0.356327i
$425$	−0.677398	+	14.7553i	−0.0328587	+	0.715735i
$426$	34.2359	+	6.13648i	1.65874	+	0.297313i
$427$	−0.944080	−	15.7835i	−0.0456872	−	0.763818i
$428$	−14.7824	−	5.47511i	−0.714532	−	0.264649i
$429$	0.369393	−	0.213269i	0.0178344	−	0.0102967i
$430$	−5.20941	+	25.6598i	−0.251220	+	1.23743i
$431$	−19.4753	+	33.7322i	−0.938091	+	1.62482i	−0.169065	+	0.985605i	$0.554075\pi$
$431$	−19.4753	+	33.7322i	−0.938091	+	1.62482i	−0.769026	+	0.639217i	$0.779259\pi$
$432$	−3.39100	+	18.0371i	−0.163150	+	0.867812i
$433$			15.6338i			0.751311i	0.926759	+	0.375656i	$0.122582\pi$
$433$			15.6338i			0.751311i	−0.926759	+	0.375656i	$0.877418\pi$
$434$	−7.39099	+	9.90176i	−0.354779	+	0.475300i
$435$	−0.648946	−	1.18603i	−0.0311146	−	0.0568656i
$436$	30.1518	−	5.14111i	1.44401	−	0.246215i
$437$	11.7430	−	20.3395i	0.561745	−	0.972971i
$438$	−7.09712	−	5.98944i	−0.339114	−	0.286186i
$439$	−18.4007	−	31.8709i	−0.878216	−	1.52112i	−0.853296	−	0.521426i	$-0.825400\pi$
$439$	−18.4007	−	31.8709i	−0.878216	−	1.52112i	−0.0249200	−	0.999689i	$-0.507933\pi$
$440$	0.847338	−	26.9657i	0.0403953	−	1.28554i
$441$	−1.57565	+	3.68444i	−0.0750309	+	0.175450i
$442$	−0.0389940	+	0.217551i	−0.00185476	+	0.0103478i
$443$	−8.32062	−	14.4117i	−0.395325	−	0.684723i	0.597818	−	0.801632i	$-0.296035\pi$
$443$	−8.32062	−	14.4117i	−0.395325	−	0.684723i	−0.993143	+	0.116909i	$0.962701\pi$
$444$	13.5038	−	11.2016i	0.640861	−	0.531606i
$445$	0.566617	−	24.6974i	0.0268602	−	1.17077i
$446$	11.8099	−	4.26072i	0.559216	−	0.201751i
$447$		−	42.2758i		−	1.99957i
$448$	21.1466	−	0.905519i	0.999084	−	0.0427817i
$449$	−26.8502			−1.26714			−0.633569	−	0.773686i	$-0.718411\pi$
$449$	−26.8502			−1.26714			−0.633569	+	0.773686i	$0.718411\pi$
$450$	−3.94746	−	0.896144i	−0.186085	−	0.0422446i
$451$	−25.4254	−	14.6794i	−1.19723	−	0.691224i
$452$	23.2903	+	28.0769i	1.09548	+	1.32063i
$453$	−12.4487	−	21.5618i	−0.584892	−	1.01306i
$454$	−15.2495	−	2.73334i	−0.715694	−	0.128282i
$455$	0.265104	−	0.166356i	0.0124283	−	0.00779889i
$456$	−21.3368	+	36.2437i	−0.999189	+	1.69727i
$457$	−16.2236	+	9.36671i	−0.758909	+	0.438156i	−0.828904	−	0.559391i	$-0.811035\pi$
$457$	−16.2236	+	9.36671i	−0.758909	+	0.438156i	0.0699949	+	0.997547i	$0.477702\pi$
$458$	14.1508	+	11.9422i	0.661225	+	0.558024i
$459$	−11.7386	−	6.77726i	−0.547909	−	0.316335i
$460$	10.4684	−	8.28587i	0.488092	−	0.386331i
$461$		−	8.53483i		−	0.397507i	−0.980050	−	0.198753i	$-0.936311\pi$
$461$		−	8.53483i		−	0.397507i	0.980050	−	0.198753i	$-0.0636893\pi$
$462$	27.7156	−	11.9140i	1.28944	−	0.554287i
$463$		−	36.3339i		−	1.68858i	−0.535886	−	0.844290i	$-0.680022\pi$
$463$		−	36.3339i		−	1.68858i	0.535886	−	0.844290i	$-0.319978\pi$
$464$	−1.25751	−	0.236413i	−0.0583785	−	0.0109752i
$465$	0.320117	−	13.9531i	0.0148451	−	0.647058i
$466$	−17.3643	−	14.6542i	−0.804386	−	0.678841i
$467$	−7.66075	−	13.2688i	−0.354497	−	0.614007i	0.632535	−	0.774532i	$-0.282015\pi$
$467$	−7.66075	−	13.2688i	−0.354497	−	0.614007i	−0.987032	+	0.160525i	$0.948681\pi$
$468$	−0.0567986	−	0.0210372i	−0.00262552	−	0.000972443i
$469$	−8.52412	−	12.9162i	−0.393607	−	0.596415i
$470$	−6.52203	−	19.4653i	−0.300839	−	0.897868i
$471$	0.884392	+	1.53181i	0.0407506	+	0.0705821i
$472$	0.432226	+	0.763507i	0.0198948	+	0.0351432i
$473$	30.5879	+	17.6600i	1.40644	+	0.812006i
$474$	−0.0657041	−	0.182120i	−0.00301789	−	0.00836503i
$475$	33.1280	+	21.2095i	1.52002	+	0.973159i
$476$	−4.54441	+	14.9568i	−0.208293	+	0.685544i
$477$	3.01438			0.138019
$478$	3.02676	+	8.38962i	0.138441	+	0.383732i
$479$	0.147033	−	0.254668i	0.00671810	−	0.0116361i	−0.862647	−	0.505807i	$-0.831195\pi$
$479$	0.147033	−	0.254668i	0.00671810	−	0.0116361i	0.869365	+	0.494171i	$0.164528\pi$
$480$	−18.8715	+	14.6786i	−0.861360	+	0.669984i
$481$	−0.122769	−	0.212642i	−0.00559779	−	0.00969566i
$482$	15.7470	+	2.82251i	0.717257	+	0.128562i
$483$	13.3513	+	6.67913i	0.607506	+	0.303911i
$484$	−13.4972	−	4.99911i	−0.613510	−	0.227232i
$485$	9.78497	−	16.0844i	0.444313	−	0.730356i
$486$	5.35638	−	6.34699i	0.242970	−	0.287905i
$487$	−14.9460	−	8.62905i	−0.677266	−	0.391020i	0.121558	−	0.992584i	$-0.461211\pi$
$487$	−14.9460	−	8.62905i	−0.677266	−	0.391020i	−0.798824	+	0.601565i	$0.794544\pi$
$488$	16.9028	+	0.143241i	0.765156	+	0.00648420i
$489$	2.53253			0.114525
$490$	20.0012	−	9.48439i	0.903560	−	0.428461i
$491$		−	9.75968i		−	0.440448i	−0.975449	−	0.220224i	$-0.929321\pi$
$491$		−	9.75968i		−	0.440448i	0.975449	−	0.220224i	$-0.0706788\pi$
$492$	4.37296	+	25.6467i	0.197148	+	1.15624i
$493$	0.472496	−	0.818387i	0.0212801	−	0.0368583i
$494$	0.449815	+	0.379610i	0.0202381	+	0.0170794i
$495$	−2.83795	+	4.66499i	−0.127556	+	0.209676i
$496$	−10.0222	−	8.60447i	−0.450011	−	0.386352i
$497$	15.4026	−	30.7892i	0.690902	−	1.38109i
$498$	−43.1804	−	7.73970i	−1.93496	−	0.346824i
$499$	26.2875	−	15.1771i	1.17679	−	0.679420i	0.221520	−	0.975156i	$-0.428898\pi$
$499$	26.2875	−	15.1771i	1.17679	−	0.679420i	0.955270	+	0.295736i	$0.0955648\pi$
$500$	13.0590	+	18.1511i	0.584016	+	0.811742i
$501$	−23.7275	−	13.6991i	−1.06007	−	0.612031i
$502$	10.3859	−	3.74697i	0.463545	−	0.167235i
$503$		−	17.9372i		−	0.799782i	−0.916563	−	0.399891i	$-0.869048\pi$
$503$		−	17.9372i		−	0.799782i	0.916563	−	0.399891i	$-0.130952\pi$
$504$	−3.81485	−	1.94901i	−0.169927	−	0.0868158i
$505$	−2.34179	−	4.27990i	−0.104208	−	0.190453i
$506$	−6.11179	−	16.9407i	−0.271702	−	0.753107i
$507$	12.2830	−	21.2747i	0.545506	−	0.944844i
$508$	−12.4958	−	15.0639i	−0.554411	−	0.668353i
$509$	−11.0811	+	6.39765i	−0.491159	+	0.283571i	−0.725055	−	0.688691i	$-0.758186\pi$
$509$	−11.0811	+	6.39765i	−0.491159	+	0.283571i	0.233896	+	0.972262i	$0.424852\pi$
$510$	−5.60964	−	16.7422i	−0.248399	−	0.741359i
$511$	−7.67191	+	5.06311i	−0.339385	+	0.223979i
$512$	−0.575183	+	22.6201i	−0.0254197	+	0.999677i
$513$	−31.2607	+	18.0484i	−1.38020	+	0.796856i
$514$	−8.07956	−	6.81854i	−0.356374	−	0.300753i
$515$	−39.2227	−	0.899863i	−1.72836	−	0.0396527i
$516$	−5.26088	−	30.8542i	−0.231597	−	1.35828i
$517$	−27.6924			−1.21791
$518$	−6.85831	−	15.9546i	−0.301337	−	0.701004i
$519$	9.06235			0.397793
$520$	0.158110	+	0.294872i	0.00693359	+	0.0129310i
$521$	3.63383	−	6.29399i	0.159201	−	0.275744i	−0.775380	−	0.631495i	$-0.782441\pi$
$521$	3.63383	−	6.29399i	0.159201	−	0.275744i	0.934581	+	0.355751i	$0.115775\pi$
$522$	0.197913	+	0.167024i	0.00866244	+	0.00731044i
$523$	6.88566	+	11.9263i	0.301089	+	0.521501i	0.976383	−	0.216047i	$-0.0693166\pi$
$523$	6.88566	+	11.9263i	0.301089	+	0.521501i	−0.675294	+	0.737549i	$0.735983\pi$
$524$	1.45504	−	3.92850i	0.0635639	−	0.171617i
$525$	−12.2004	+	21.8250i	−0.532467	+	0.952522i
$526$	−3.12601	+	17.4403i	−0.136300	+	0.760431i
$527$	8.44850	−	4.87774i	0.368023	−	0.212478i
$528$	10.6873	+	30.4284i	0.465104	+	1.32423i
$529$	−7.04392	+	12.2004i	−0.306258	+	0.530454i
$530$	−12.4758	−	11.0284i	−0.541916	−	0.479044i
$531$		−	0.177573i		−	0.00770603i
$532$	28.4438	+	30.3964i	1.23319	+	1.31785i
$533$	0.364099			0.0157709
$534$	10.0218	+	27.7785i	0.433685	+	1.20209i
$535$	0.404239	−	17.6197i	0.0174768	−	0.761768i
$536$	14.3970	−	8.15026i	0.621858	−	0.352037i
$537$	−27.2788	+	15.7494i	−1.17717	+	0.679639i
$538$	−0.811276	+	4.52617i	−0.0349766	+	0.195137i
$539$	−3.55941	−	29.6474i	−0.153314	−	1.27700i
$540$	−20.3013	+	2.98409i	−0.873628	+	0.128415i
$541$	11.9627	−	6.90668i	0.514317	−	0.296941i	−0.220289	−	0.975435i	$-0.570700\pi$
$541$	11.9627	−	6.90668i	0.514317	−	0.296941i	0.734607	+	0.678493i	$0.237367\pi$
$542$	−1.01124	+	1.19825i	−0.0434363	+	0.0514694i
$543$	−12.0396	−	6.95106i	−0.516668	−	0.298298i
$544$	−15.6212	−	5.93680i	−0.669751	−	0.254538i
$545$	16.4149	+	30.0001i	0.703135	+	1.28506i
$546$	−0.223794	+	0.299819i	−0.00957752	+	0.0128311i
$547$	−20.5952			−0.880588			−0.440294	−	0.897854i	$-0.645126\pi$
$547$	−20.5952			−0.880588			−0.440294	+	0.897854i	$0.645126\pi$
$548$	−6.36023	+	1.08447i	−0.271696	+	0.0463262i
$549$	−2.96282	−	1.71059i	−0.126450	−	0.0730060i
$550$	28.8130	−	8.92440i	1.22859	−	0.380538i
$551$	−1.25830	−	2.17943i	−0.0536052	−	0.0928469i
$552$	−8.09660	+	13.7532i	−0.344614	+	0.585377i
$553$	−0.191294	+	0.0114421i	−0.00813465	+	0.000486568i
$554$	−11.2594	−	2.01815i	−0.478368	−	0.0857431i
$555$	16.7585	+	10.1950i	0.711358	+	0.432755i
$556$	21.3886	+	25.7844i	0.907080	+	1.09350i
$557$	0.162587	−	0.281610i	0.00688905	−	0.0119322i	−0.862560	−	0.505954i	$-0.831140\pi$
$557$	0.162587	−	0.281610i	0.00688905	−	0.0119322i	0.869449	+	0.494022i	$0.164474\pi$
$558$	0.907279	+	2.51481i	0.0384082	+	0.106460i
$559$	−0.438029			−0.0185266
$560$	8.65816	+	22.0235i	0.365874	+	0.930664i
$561$	−23.8184			−1.00561
$562$	5.56227	+	15.4176i	0.234630	+	0.650352i
$563$	1.04315	−	1.80679i	0.0439635	−	0.0761471i	−0.843206	−	0.537590i	$-0.819335\pi$
$563$	1.04315	−	1.80679i	0.0439635	−	0.0761471i	0.887170	+	0.461443i	$0.152668\pi$
$564$	15.6677	+	18.8877i	0.659730	+	0.795317i
$565$	−21.1974	+	34.8440i	−0.891781	+	1.46590i
$566$	27.6115	+	4.94912i	1.16060	+	0.208027i
$567$	−15.1411	−	22.9426i	−0.635866	−	0.963499i
$568$	31.7161	+	18.6714i	1.33078	+	0.783436i
$569$	−13.4254	−	23.2534i	−0.562820	−	0.974833i	−0.997249	−	0.0741271i	$-0.976383\pi$
$569$	−13.4254	−	23.2534i	−0.562820	−	0.974833i	0.434428	−	0.900706i	$-0.356950\pi$
$570$	−46.0820	−	9.35550i	−1.93016	−	0.391859i
$571$	17.6987	+	10.2183i	0.740667	+	0.427624i	0.822312	−	0.569037i	$-0.192684\pi$
$571$	17.6987	+	10.2183i	0.740667	+	0.427624i	−0.0816446	+	0.996662i	$0.526017\pi$
$572$	0.444919	−	0.0758621i	0.0186030	−	0.00317195i
$573$	38.7123			1.61723
$574$	25.5738	+	3.02179i	1.06743	+	0.126127i
$575$	12.5710	+	8.04829i	0.524245	+	0.335637i
$576$	2.35672	−	3.92674i	0.0981968	−	0.163614i
$577$	−14.6565	−	8.46195i	−0.610159	−	0.352275i	0.162869	−	0.986648i	$-0.447925\pi$
$577$	−14.6565	−	8.46195i	−0.610159	−	0.352275i	−0.773028	+	0.634372i	$0.781259\pi$
$578$	−7.54571	+	8.94122i	−0.313860	+	0.371906i
$579$	4.14699	−	2.39427i	0.172343	−	0.0995024i
$580$	−0.208044	−	1.41536i	−0.00863857	−	0.0587697i
$581$	−19.4267	+	38.8332i	−0.805956	+	1.61107i
$582$	−3.97068	+	22.1527i	−0.164590	+	0.918260i
$583$	−19.4527	+	11.2310i	−0.805649	+	0.465141i
$584$	−4.84105	−	8.55149i	−0.200324	−	0.353863i
$585$	0.00155322	−	0.0677008i	6.42177e−5	−	0.00279908i
$586$	−0.00816000	−	0.0226180i	−0.000337086	−	0.000934341i
$587$	27.0931			1.11825			0.559126	−	0.829083i	$-0.311137\pi$
$587$	27.0931			1.11825			0.559126	+	0.829083i	$0.311137\pi$
$588$	−18.2073	+	19.2015i	−0.750856	+	0.791856i
$589$		−	25.9797i		−	1.07047i
$590$	−0.649670	+	0.734936i	−0.0267465	+	0.0302568i
$591$	18.3014	−	31.6989i	0.752819	−	1.30392i
$592$	17.5163	−	6.15217i	0.719914	−	0.252853i
$593$	17.9703	−	10.3752i	0.737952	−	0.426057i	−0.0833721	−	0.996518i	$-0.526569\pi$
$593$	17.9703	−	10.3752i	0.737952	−	0.426057i	0.821324	+	0.570462i	$0.193236\pi$
$594$	−4.88350	+	27.2455i	−0.200372	+	1.11789i
$595$	−17.4652	+	0.643093i	−0.716004	+	0.0263642i
$596$	15.5372	−	41.9491i	0.636427	−	1.71830i
$597$	−15.7976	−	27.3622i	−0.646551	−	1.11986i
$598$	0.170689	+	0.144049i	0.00698001	+	0.00589060i
$599$	−7.45728	+	12.9164i	−0.304696	+	0.527749i	−0.977194	−	0.212350i	$-0.931888\pi$
$599$	−7.45728	+	12.9164i	−0.304696	+	0.527749i	0.672498	+	0.740099i	$0.265222\pi$
$600$	−22.3886	−	14.6028i	−0.914011	−	0.596157i
$601$	−33.5140			−1.36706			−0.683532	−	0.729920i	$-0.739557\pi$
$601$	−33.5140			−1.36706			−0.683532	+	0.729920i	$0.739557\pi$
$602$	−30.7665	−	3.63536i	−1.25395	−	0.148166i
$603$	−3.34841			−0.136358
$604$	−4.42815	−	25.9704i	−0.180179	−	1.05672i
$605$	0.369095	−	16.0879i	0.0150059	−	0.654067i
$606$	4.45695	+	3.76133i	0.181051	+	0.152794i
$607$	29.3723	−	16.9581i	1.19219	−	0.688309i	0.233385	−	0.972384i	$-0.425020\pi$
$607$	29.3723	−	16.9581i	1.19219	−	0.688309i	0.958802	+	0.284075i	$0.0916865\pi$
$608$	−34.4922	+	28.1219i	−1.39884	+	1.14049i
$609$	1.33512	−	0.881117i	0.0541016	−	0.0357047i
$610$	6.00409	+	17.9195i	0.243099	+	0.725540i
$611$	0.297423	−	0.171717i	0.0120324	−	0.00694694i
$612$	2.15941	+	2.60321i	0.0872890	+	0.105229i
$613$	−7.08648	+	12.2741i	−0.286220	+	0.495748i	−0.972904	−	0.231208i	$-0.925732\pi$
$613$	−7.08648	+	12.2741i	−0.286220	+	0.495748i	0.686684	+	0.726956i	$0.259066\pi$
$614$	0.130297	+	0.361158i	0.00525835	+	0.0145752i
$615$	−25.5177	+	13.9623i	−1.02897	+	0.563013i
$616$	31.8800	−	1.63589i	1.28448	−	0.0659118i
$617$		−	5.03205i		−	0.202583i	−0.994857	−	0.101291i	$-0.967703\pi$
$617$		−	5.03205i		−	0.202583i	0.994857	−	0.101291i	$-0.0322974\pi$
$618$	44.1160	−	15.9159i	1.77461	−	0.640232i
$619$	−23.1709	−	13.3777i	−0.931317	−	0.537696i	−0.0440892	−	0.999028i	$-0.514039\pi$
$619$	−23.1709	−	13.3777i	−0.931317	−	0.537696i	−0.887228	+	0.461331i	$0.847372\pi$
$620$	5.44567	−	13.7276i	0.218703	−	0.551314i
$621$	−11.8624	+	6.84875i	−0.476021	+	0.274831i
$622$	−27.6762	−	4.96071i	−1.10971	−	0.198906i
$623$	29.1779	−	1.74525i	1.16899	−	0.0699221i
$624$	−0.303467	−	0.260538i	−0.0121484	−	0.0104299i
$625$	−14.4312	+	20.4143i	−0.577246	+	0.816570i
$626$	15.1319	+	12.7702i	0.604792	+	0.510399i
$627$	−31.7152	+	54.9324i	−1.26658	+	2.19379i
$628$	0.314588	+	1.84501i	0.0125534	+	0.0736238i
$629$			13.7112i			0.546700i
$630$	0.670969	−	4.74231i	0.0267321	−	0.188938i
$631$	23.1384			0.921127			0.460563	−	0.887627i	$-0.347647\pi$
$631$	23.1384			0.921127			0.460563	+	0.887627i	$0.347647\pi$
$632$	0.00173606	−	0.204860i	6.90566e−5	−	0.00814889i
$633$	4.83335	+	2.79053i	0.192108	+	0.110914i
$634$	0.631100	−	0.747816i	0.0250642	−	0.0296996i
$635$	11.3729	−	18.6946i	0.451320	−	0.741874i
$636$	18.6660	+	6.91356i	0.740157	+	0.274140i
$637$	0.222068	+	0.296348i	0.00879867	+	0.0117417i
$638$	−1.89949	−	0.340467i	−0.0752017	−	0.0134792i
$639$	−3.72447	−	6.45097i	−0.147338	−	0.255197i
$640$	−24.1203	+	7.62956i	−0.953439	+	0.301585i
$641$	−2.96091	+	5.12844i	−0.116949	+	0.202561i	−0.918557	−	0.395288i	$-0.870645\pi$
$641$	−2.96091	+	5.12844i	−0.116949	+	0.202561i	0.801608	+	0.597850i	$0.203978\pi$
$642$	7.14980	+	19.8179i	0.282180	+	0.782150i
$643$	−1.17932			−0.0465078			−0.0232539	−	0.999730i	$-0.507403\pi$
$643$	−1.17932			−0.0465078			−0.0232539	+	0.999730i	$0.507403\pi$
$644$	10.7934	+	11.5344i	0.425321	+	0.454518i
$645$	30.6990	−	16.7973i	1.20877	−	0.661392i
$646$	−11.1541	−	30.9170i	−0.438851	−	1.21641i
$647$	−28.4740	−	16.4395i	−1.11943	−	0.646302i	−0.178173	−	0.983999i	$-0.557019\pi$
$647$	−28.4740	−	16.4395i	−1.11943	−	0.646302i	−0.941255	+	0.337697i	$0.890352\pi$
$648$	25.5730	−	14.4770i	1.00460	−	0.568711i
$649$	0.661605	+	1.14593i	0.0259703	+	0.0449818i
$650$	−0.254119	+	0.274516i	−0.00996736	+	0.0107674i
$651$	16.4844	−	0.986001i	0.646073	−	0.0386444i
$652$	2.51296	+	0.930753i	0.0984151	+	0.0364511i
$653$	−17.4884	−	30.2908i	−0.684374	−	1.18537i	−0.973633	−	0.228120i	$-0.926742\pi$
$653$	−17.4884	−	30.2908i	−0.684374	−	1.18537i	0.289259	−	0.957251i	$-0.406591\pi$
$654$	−31.2411	−	26.3652i	−1.22162	−	1.03096i
$655$	4.68255	+	0.107429i	0.182962	+	0.00419760i
$656$	−5.08650	+	27.0557i	−0.198594	+	1.05635i
$657$			1.98887i			0.0775933i
$658$	22.3157	−	9.59273i	0.869955	−	0.373963i
$659$			34.7632i			1.35418i	0.735899	+	0.677091i	$0.236760\pi$
$659$			34.7632i			1.35418i	−0.735899	+	0.677091i	$0.763240\pi$
$660$	−28.2728	+	22.3782i	−1.10052	+	0.871071i
$661$	39.0880	+	22.5674i	1.52035	+	0.877772i	0.999712	+	0.0239916i	$0.00763749\pi$
$661$	39.0880	+	22.5674i	1.52035	+	0.877772i	0.520633	+	0.853780i	$0.325696\pi$
$662$	15.0077	+	12.6654i	0.583291	+	0.492254i
$663$	0.255815	−	0.147695i	0.00993505	−	0.00573600i
$664$	−40.0023	−	23.5495i	−1.55239	−	0.913899i
$665$	−21.7725	+	41.1363i	−0.844301	+	1.59520i
$666$	−3.69857	−	0.662935i	−0.143317	−	0.0256882i
$667$	−0.477480	−	0.827020i	−0.0184881	−	0.0320223i
$668$	−18.5095	−	22.3136i	−0.716155	−	0.863339i
$669$	−14.5317	−	8.38987i	−0.561827	−	0.324371i
$670$	13.8583	+	12.2505i	0.535393	+	0.473278i
$671$	25.4933			0.984157
$672$	−19.1527	−	20.8184i	−0.738832	−	0.803086i
$673$			46.4923i			1.79215i	0.443906	+	0.896073i	$0.353592\pi$
$673$			46.4923i			1.79215i	−0.443906	+	0.896073i	$0.646408\pi$
$674$	−31.6277	+	11.4105i	−1.21825	+	0.439515i
$675$	−10.5475	−	20.3730i	−0.405973	−	0.784157i
$676$	20.0069	−	16.5961i	0.769498	−	0.638312i
$677$	13.9495	+	24.1613i	0.536124	+	0.928594i	0.999108	+	0.0422276i	$0.0134455\pi$
$677$	13.9495	+	24.1613i	0.536124	+	0.928594i	−0.462984	+	0.886367i	$0.653221\pi$
$678$	8.60176	−	47.9899i	0.330349	−	1.84304i
$679$	19.9225	+	9.96643i	0.764555	+	0.382477i
$680$	0.586807	−	18.6745i	0.0225030	−	0.716135i
$681$	10.3529	+	17.9317i	0.396723	+	0.687144i
$682$	−15.2246	−	12.8485i	−0.582982	−	0.491993i
$683$	9.77605	−	16.9326i	0.374070	−	0.647908i	−0.616117	−	0.787654i	$-0.711295\pi$
$683$	9.77605	−	16.9326i	0.374070	−	0.647908i	0.990187	+	0.139746i	$0.0446286\pi$
$684$	8.87912	−	1.51396i	0.339502	−	0.0578877i
$685$	−3.46256	−	6.32823i	−0.132297	−	0.241789i
$686$	13.1382	+	22.6580i	0.501620	+	0.865088i
$687$		−	24.7474i		−	0.944171i
$688$	6.11930	−	32.5493i	0.233296	−	1.24093i
$689$	0.139284	−	0.241248i	0.00530631	−	0.00919080i
$690$	−17.4866	−	3.55009i	−0.665702	−	0.135150i
$691$	13.9085	−	8.03007i	0.529104	−	0.305478i	−0.211547	−	0.977368i	$-0.567850\pi$
$691$	13.9085	−	8.03007i	0.529104	−	0.305478i	0.740652	+	0.671889i	$0.234517\pi$
$692$	8.99233	+	3.33059i	0.341837	+	0.126610i
$693$	−5.77815	−	2.89058i	−0.219494	−	0.109804i
$694$	21.5248	+	3.85812i	0.817069	+	0.146452i
$695$	−19.4666	+	31.9990i	−0.738411	+	1.21379i
$696$	0.842472	+	1.48819i	0.0319338	+	0.0564096i
$697$	−17.6078	−	10.1659i	−0.666944	−	0.385061i
$698$	−36.3278	+	13.1061i	−1.37503	+	0.496075i
$699$			30.3672i			1.14859i
$700$	−20.1272	+	17.1725i	−0.760737	+	0.649060i
$701$		−	17.9477i		−	0.677876i	−0.940809	−	0.338938i	$-0.889932\pi$
$701$		−	17.9477i		−	0.677876i	0.940809	−	0.338938i	$-0.110068\pi$
$702$	−0.116496	−	0.322904i	−0.00439685	−	0.0121872i
$703$	31.6220	+	18.2570i	1.19265	+	0.688576i
$704$	−0.578350	+	34.1211i	−0.0217974	+	1.28599i
$705$	−14.2598	+	23.4401i	−0.537055	+	0.882805i
$706$	6.88900	−	38.4343i	0.259271	−	1.44649i
$707$	4.81791	−	3.17961i	0.181196	−	0.119581i
$708$	0.407268	−	1.09959i	0.0153061	−	0.0413252i
$709$	−8.64441	+	4.99085i	−0.324648	+	0.187435i	−0.653462	−	0.756959i	$-0.726684\pi$
$709$	−8.64441	+	4.99085i	−0.324648	+	0.187435i	0.328815	+	0.944394i	$0.393351\pi$
$710$	−8.18681	+	40.3255i	−0.307245	+	1.51339i
$711$	−0.0207321	+	0.0359090i	−0.000777513	+	0.00134669i
$712$	−0.264799	+	31.2471i	−0.00992376	+	1.17103i
$713$		−	9.85840i		−	0.369200i
$714$	19.1938	−	8.25077i	0.718312	−	0.308777i
$715$	0.242217	+	0.442680i	0.00905840	+	0.0165553i
$716$	−32.8563	+	5.60225i	−1.22790	+	0.209366i
$717$	5.96006	−	10.3231i	0.222582	−	0.385524i
$718$	−17.2321	+	20.4190i	−0.643095	+	0.762029i
$719$	6.03203	+	10.4478i	0.224957	+	0.389636i	0.956306	−	0.292366i	$-0.0944426\pi$
$719$	6.03203	+	10.4478i	0.224957	+	0.389636i	−0.731350	+	0.682003i	$0.761109\pi$
$720$	5.00905	+	1.06120i	0.186676	+	0.0395487i
$721$	−2.77170	−	46.3383i	−0.103223	−	1.72573i
$722$	−59.7074	−	10.7020i	−2.22208	−	0.398288i
$723$	−10.6906	−	18.5167i	−0.397589	−	0.688645i
$724$	−9.39191	−	11.3221i	−0.349048	−	0.420784i
$725$	1.42036	−	0.735348i	0.0527509	−	0.0273101i
$726$	6.52821	+	18.0950i	0.242285	+	0.671568i
$727$		−	6.80457i		−	0.252367i	−0.992007	−	0.126184i	$-0.959727\pi$
$727$		−	6.80457i		−	0.252367i	0.992007	−	0.126184i	$-0.0402729\pi$
$728$	−0.332255	+	0.215254i	−0.0123142	+	0.00797784i
$729$	20.0692			0.743304
$730$	7.27649	−	8.23149i	0.269315	−	0.304661i
$731$	21.1831	+	12.2300i	0.783484	+	0.452345i
$732$	−14.4235	−	17.3878i	−0.533108	−	0.642672i
$733$	10.8414	+	18.7779i	0.400438	+	0.693578i	0.993779	−	0.111373i	$-0.0355248\pi$
$733$	10.8414	+	18.7779i	0.400438	+	0.693578i	−0.593341	+	0.804951i	$0.702191\pi$
$734$	1.95162	−	10.8882i	0.0720355	−	0.401892i
$735$	−26.9277	−	12.2536i	−0.993243	−	0.451982i
$736$	−13.0886	+	10.6713i	−0.482453	+	0.393350i
$737$	21.6083	−	12.4755i	0.795951	−	0.459542i
$738$	3.59357	−	4.25817i	0.132281	−	0.156745i
$739$	−4.18323	−	2.41519i	−0.153883	−	0.0888442i	0.421081	−	0.907023i	$-0.361651\pi$
$739$	−4.18323	−	2.41519i	−0.153883	−	0.0888442i	−0.574964	+	0.818179i	$0.694984\pi$
$740$	12.8821	+	16.2753i	0.473556	+	0.598293i
$741$		−	0.786648i		−	0.0288982i
$742$	11.7853	−	15.7889i	0.432652	−	0.579628i
$743$			15.8007i			0.579673i	0.957076	+	0.289836i	$0.0936009\pi$
$743$			15.8007i			0.579673i	−0.957076	+	0.289836i	$0.906399\pi$
$744$	−0.149601	+	17.6534i	−0.00548464	+	0.647205i
$745$	50.0010	+	1.14714i	1.83189	+	0.0420280i
$746$	8.02296	−	9.50672i	0.293741	−	0.348066i
$747$	4.69753	+	8.13636i	0.171874	+	0.297694i
$748$	−23.6344	−	8.75374i	−0.864159	−	0.320068i
$749$	20.8162	−	1.24511i	0.760609	−	0.0454953i
$750$	7.28280	−	28.9841i	0.265930	−	1.05835i
$751$	−7.23339	−	12.5286i	−0.263950	−	0.457175i	0.703338	−	0.710856i	$-0.251692\pi$
$751$	−7.23339	−	12.5286i	−0.263950	−	0.457175i	−0.967288	+	0.253680i	$0.918359\pi$
$752$	8.60505	+	24.5000i	0.313794	+	0.893423i
$753$	−12.7795	−	7.37823i	−0.465710	−	0.268878i
$754$	0.0225122	−	0.00812183i	0.000819846	−	0.000295780i
$755$	25.8397	−	14.1385i	0.940403	−	0.514551i
$756$	−5.50257	−	23.6471i	−0.200127	−	0.860038i
$757$	−18.9579			−0.689035			−0.344518	−	0.938780i	$-0.611958\pi$
$757$	−18.9579			−0.689035			−0.344518	+	0.938780i	$0.611958\pi$
$758$	−16.6892	+	6.02102i	−0.606177	+	0.218693i
$759$	−12.0348	+	20.8450i	−0.436837	+	0.756624i
$760$	−42.2877	−	26.2193i	−1.53393	−	0.951072i
$761$	0.641688	+	1.11144i	0.0232612	+	0.0402895i	0.877422	−	0.479720i	$-0.159262\pi$
$761$	0.641688	+	1.11144i	0.0232612	+	0.0402895i	−0.854160	+	0.520009i	$0.825928\pi$
$762$	−4.61505	+	25.7477i	−0.167186	+	0.932742i
$763$	−33.7713	+	22.2875i	−1.22260	+	0.806863i
$764$	38.4132	+	14.2275i	1.38974	+	0.514734i
$765$	−1.96536	+	3.23064i	−0.0710579	+	0.116804i
$766$	17.1083	+	14.4381i	0.618149	+	0.521671i
$767$	−0.0142116	−	0.00820505i	−0.000513150	−	0.000296267i
$768$	23.5997	−	18.9104i	0.851580	−	0.682372i
$769$	20.2149			0.728967			0.364484	−	0.931210i	$-0.381246\pi$
$769$	20.2149			0.728967			0.364484	+	0.931210i	$0.381246\pi$
$770$	13.3390	+	33.1034i	0.480703	+	1.19296i
$771$			14.1298i			0.508871i
$772$	4.99489	−	0.851667i	0.179770	−	0.0306522i
$773$	−0.562571	+	0.974401i	−0.0202343	+	0.0350468i	−0.875965	−	0.482374i	$-0.839775\pi$
$773$	−0.562571	+	0.974401i	−0.0202343	+	0.0350468i	0.855731	+	0.517421i	$0.173108\pi$
$774$	−4.32324	+	5.12278i	−0.155396	+	0.184134i
$775$	16.4941	+	0.757226i	0.592485	+	0.0272004i
$776$	−12.0816	+	20.5223i	−0.433702	+	0.736706i
$777$	−10.3841	+	20.7574i	−0.372528	+	0.744668i
$778$	5.56891	−	31.0694i	0.199655	−	1.11389i
$779$	−46.8911	+	27.0726i	−1.68005	+	0.969977i
$780$	0.164891	−	0.415663i	0.00590406	−	0.0148831i
$781$	48.0702	+	27.7534i	1.72009	+	0.993093i
$782$	−4.23259	−	11.7320i	−0.151357	−	0.419534i
$783$			1.46772i			0.0524522i
$784$	−25.1235	+	12.3616i	−0.897269	+	0.441485i
$785$	−1.83572	+	1.00443i	−0.0655198	+	0.0358498i
$786$	−5.26673	+	1.90010i	−0.187858	+	0.0677744i
$787$	−12.3633	+	21.4139i	−0.440705	+	0.763324i	−0.997742	−	0.0671639i	$-0.978605\pi$
$787$	−12.3633	+	21.4139i	−0.440705	+	0.763324i	0.557037	+	0.830488i	$0.311938\pi$
$788$	29.8100	−	24.7279i	1.06194	−	0.880895i
$789$	20.5078	−	11.8402i	0.730096	−	0.421521i
$790$	0.217182	−	0.0727687i	0.00772699	−	0.00258900i
$791$	−43.1585	−	21.5905i	−1.53454	−	0.767670i
$792$	3.50403	−	5.95210i	0.124510	−	0.211499i
$793$	−0.273804	+	0.158081i	−0.00972305	+	0.00561361i
$794$	25.3565	−	30.0459i	0.899867	−	1.06629i
$795$	−0.510443	+	22.2489i	−0.0181035	+	0.789086i
$796$	−5.61937	−	32.9567i	−0.199173	−	1.16812i
$797$	−25.5867			−0.906329			−0.453164	−	0.891427i	$-0.649705\pi$
$797$	−25.5867			−0.906329			−0.453164	+	0.891427i	$0.649705\pi$
$798$	6.52868	−	55.2530i	0.231113	−	1.95593i
$799$	−19.1778			−0.678463
$800$	−16.8488	−	22.7182i	−0.595696	−	0.803210i
$801$	3.16224	−	5.47716i	0.111732	−	0.193526i
$802$	34.8130	−	41.2513i	1.22929	−	1.45663i
$803$	−7.41016	−	12.8348i	−0.261499	−	0.452929i
$804$	−20.7344	−	7.67965i	−0.731247	−	0.270840i
$805$	−8.26191	+	15.6098i	−0.291194	+	0.550174i
$806$	0.243188	+	0.0435892i	0.00856593	+	0.00153537i
$807$	5.32227	−	3.07281i	0.187353	−	0.108168i
$808$	3.04015	+	5.37029i	0.106952	+	0.188926i
$809$	−4.52071	+	7.83009i	−0.158940	+	0.275291i	−0.934487	−	0.355998i	$-0.884141\pi$
$809$	−4.52071	+	7.83009i	−0.158940	+	0.275291i	0.775547	+	0.631290i	$0.217474\pi$
$810$	24.6160	+	21.7601i	0.864919	+	0.764573i
$811$			12.3818i			0.434782i	0.976085	+	0.217391i	$0.0697547\pi$
$811$			12.3818i			0.434782i	−0.976085	+	0.217391i	$0.930245\pi$
$812$	1.64863	−	0.383628i	0.0578555	−	0.0134627i
$813$	2.09554			0.0734938
$814$	26.3379	−	9.50205i	0.923144	−	0.333047i
$815$	−0.0687195	+	2.99531i	−0.00240714	+	0.104921i
$816$	7.40125	+	21.0726i	0.259096	+	0.737689i
$817$	56.4123	−	32.5696i	1.97362	−	1.13947i
$818$	21.2897	+	3.81598i	0.744376	+	0.133423i
$819$	0.0799828	−	0.00478411i	0.00279482	−	0.000167170i
$820$	−30.4519	+	4.47614i	−1.06343	+	0.156313i
$821$	38.0200	−	21.9509i	1.32691	−	0.766091i	0.342088	−	0.939668i	$-0.388866\pi$
$821$	38.0200	−	21.9509i	1.32691	−	0.766091i	0.984820	+	0.173577i	$0.0555325\pi$
$822$	6.59001	+	5.56148i	0.229853	+	0.193979i
$823$	−0.452204	−	0.261080i	−0.0157628	−	0.00910068i	0.492098	−	0.870540i	$-0.336230\pi$
$823$	−0.452204	−	0.261080i	−0.0157628	−	0.00910068i	−0.507861	+	0.861439i	$0.669564\pi$
$824$	49.6245	+	0.420536i	1.72875	+	0.0146501i
$825$	−33.9513	−	21.7366i	−1.18203	−	0.756771i
$826$	−0.930102	−	0.694257i	−0.0323624	−	0.0241563i
$827$	2.25031			0.0782508			0.0391254	−	0.999234i	$-0.487543\pi$
$827$	2.25031			0.0782508			0.0391254	+	0.999234i	$0.487543\pi$
$828$	3.36933	−	0.574496i	0.117092	−	0.0199651i
$829$	34.5910	+	19.9711i	1.20139	+	0.693625i	0.960865	−	0.277017i	$-0.0893458\pi$
$829$	34.5910	+	19.9711i	1.20139	+	0.693625i	0.240529	+	0.970642i	$0.422679\pi$
$830$	10.3257	−	50.8609i	0.358410	−	1.76541i
$831$	7.64403	+	13.2398i	0.265168	+	0.459285i
$832$	−0.205369	−	0.370055i	−0.00711989	−	0.0128293i
$833$	−2.46499	−	20.5317i	−0.0854070	−	0.711380i
$834$	7.89943	−	44.0716i	0.273535	−	1.52607i
$835$	16.8462	−	27.6917i	0.582988	−	0.958309i
$836$	−51.6589	+	42.8520i	−1.78666	+	1.48207i
$837$	−7.57592	+	13.1219i	−0.261862	+	0.453558i
$838$	−11.1896	+	4.03693i	−0.386539	+	0.139454i
$839$	21.5442			0.743790			0.371895	−	0.928275i	$-0.378708\pi$
$839$	21.5442			0.743790			0.371895	+	0.928275i	$0.378708\pi$
$840$	15.0315	−	27.8270i	0.518634	−	0.960124i
$841$	28.8977			0.996471
$842$	34.8670	−	12.5791i	1.20159	−	0.433505i
$843$	10.9528	−	18.9708i	0.377234	−	0.653388i
$844$	3.77042	+	4.54532i	0.129783	+	0.156456i
$845$	24.8291	+	15.1048i	0.854145	+	0.519620i
$846$	0.927248	−	5.17319i	0.0318794	−	0.177858i
$847$	19.0065	−	1.13686i	0.653072	−	0.0390630i
$848$	15.9810	+	13.7203i	0.548788	+	0.471156i
$849$	−18.7454	−	32.4681i	−0.643342	−	1.11430i
$850$	19.9538	−	6.18041i	0.684411	−	0.211986i
$851$	11.9995	+	6.92791i	0.411337	+	0.237486i
$852$	−8.26769	−	48.4887i	−0.283247	−	1.66120i
$853$	31.0193			1.06208			0.531040	−	0.847347i	$-0.321801\pi$
$853$	31.0193			1.06208			0.531040	+	0.847347i	$0.321801\pi$
$854$	−20.5435	+	8.83094i	−0.702984	+	0.302189i
$855$	4.83386	+	8.83445i	0.165314	+	0.302132i
$856$	−0.188914	+	22.2925i	−0.00645696	+	0.761941i
$857$	14.1530	+	8.17123i	0.483457	+	0.279124i	0.721856	−	0.692043i	$-0.243289\pi$
$857$	14.1530	+	8.17123i	0.483457	+	0.279124i	−0.238399	+	0.971167i	$0.576623\pi$
$858$	−0.460993	−	0.389043i	−0.0157380	−	0.0132817i
$859$	−33.3959	+	19.2811i	−1.13945	+	0.657864i	−0.946295	−	0.323303i	$-0.895207\pi$
$859$	−33.3959	+	19.2811i	−1.13945	+	0.657864i	−0.193159	+	0.981168i	$0.561873\pi$
$860$	36.6351	−	5.38500i	1.24925	−	0.183627i
$861$	−18.9575	−	28.7254i	−0.646070	−	0.978960i
$862$	54.2203	+	9.71850i	1.84675	+	0.331014i
$863$	24.5844	−	14.1938i	0.836863	−	0.483163i	−0.0193336	−	0.999813i	$-0.506154\pi$
$863$	24.5844	−	14.1938i	0.836863	−	0.483163i	0.856197	+	0.516650i	$0.172821\pi$
$864$	25.6220	−	4.14563i	0.871679	−	0.141037i
$865$	−0.245905	+	10.7184i	−0.00836101	+	0.364435i
$866$	20.7974	−	7.50318i	0.706725	−	0.254968i
$867$	15.6366			0.531048
$868$	16.7194	+	5.07994i	0.567492	+	0.172425i
$869$		−	0.308975i		−	0.0104813i
$870$	−1.26630	+	1.43250i	−0.0429317	+	0.0485662i
$871$	−0.154718	+	0.267980i	−0.00524244	+	0.00908016i
$872$	−21.3100	−	37.6432i	−0.721649	−	1.27476i
$873$	4.17417	−	2.40996i	0.141274	−	0.0815648i
$874$	−32.6933	−	5.85997i	−1.10587	−	0.198217i
$875$	−25.4821	−	15.0220i	−0.861454	−	0.507836i
$876$	−4.56152	+	12.3157i	−0.154120	+	0.416110i
$877$	−7.24872	−	12.5551i	−0.244772	−	0.423957i	0.717296	−	0.696769i	$-0.245380\pi$
$877$	−7.24872	−	12.5551i	−0.244772	−	0.423957i	−0.962067	+	0.272812i	$0.912046\pi$
$878$	−33.5664	+	39.7741i	−1.13281	+	1.34231i
$879$	−0.0160680	+	0.0278306i	−0.000541961	+	0.000938704i
$880$	−36.2787	+	11.8145i	−1.22296	+	0.398268i
$881$	44.4824			1.49865			0.749325	−	0.662202i	$-0.230378\pi$
$881$	44.4824			1.49865			0.749325	+	0.662202i	$0.230378\pi$
$882$	5.65757	+	0.327778i	0.190500	+	0.0110368i
$883$	20.5029			0.689977			0.344989	−	0.938607i	$-0.387883\pi$
$883$	20.5029			0.689977			0.344989	+	0.938607i	$0.387883\pi$
$884$	0.308120	−	0.0525367i	0.0103632	−	0.00176700i
$885$	1.31065	+	0.0300695i	0.0440571	+	0.00101078i
$886$	−15.1784	+	17.9855i	−0.509929	+	0.604235i
$887$	−25.1627	+	14.5277i	−0.844880	+	0.487792i	−0.858920	−	0.512110i	$-0.828864\pi$
$887$	−25.1627	+	14.5277i	−0.844880	+	0.487792i	0.0140398	+	0.999901i	$0.495531\pi$
$888$	−21.3823	−	12.5879i	−0.717543	−	0.422421i
$889$	23.1556	+	11.5838i	0.776613	+	0.388509i
$890$	−33.1265	+	11.0993i	−1.11040	+	0.372051i
$891$	38.3820	−	22.1599i	1.28585	−	0.742383i
$892$	−11.3360	−	13.6657i	−0.379556	−	0.457562i
$893$	−25.5361	+	44.2298i	−0.854532	+	1.48009i
$894$	−56.2389	+	20.2896i	−1.88091	+	0.678585i
$895$	−17.8872	−	32.6910i	−0.597903	−	1.09274i
$896$	−11.3536	−	27.6965i	−0.379297	−	0.925275i
$897$		−	0.298506i		−	0.00996683i
$898$	12.8863	+	35.7184i	0.430021	+	1.19194i
$899$	−0.914829	−	0.528177i	−0.0305113	−	0.0176157i
$900$	0.702389	+	5.68134i	0.0234130	+	0.189378i
$901$	−13.4716	+	7.77782i	−0.448803	+	0.259117i
$902$	−7.32525	+	40.8682i	−0.243904	+	1.36076i
$903$	22.8068	+	34.5580i	0.758962	+	1.15002i
$904$	26.1725	−	44.4578i	0.870485	−	1.47864i
$905$	8.54794	−	14.0510i	0.284143	−	0.467071i
$906$	−22.7089	+	26.9086i	−0.754451	+	0.893979i
$907$	25.7353	−	44.5748i	0.854526	−	1.48008i	−0.0225584	−	0.999746i	$-0.507181\pi$
$907$	25.7353	−	44.5748i	0.854526	−	1.48008i	0.877084	−	0.480337i	$-0.159485\pi$
$908$	3.68263	+	21.5980i	0.122212	+	0.716756i
$909$		−	1.24900i		−	0.0414267i
$910$	−0.348534	−	0.272825i	−0.0115538	−	0.00904406i
$911$	18.9055			0.626366			0.313183	−	0.949693i	$-0.398605\pi$
$911$	18.9055			0.626366			0.313183	+	0.949693i	$0.398605\pi$
$912$	58.4548	+	10.9895i	1.93563	+	0.363900i
$913$	−60.6291	−	35.0042i	−2.00653	−	1.15847i
$914$	20.2467	+	17.0867i	0.669701	+	0.565177i
$915$	13.1274	−	21.5786i	0.433978	−	0.713368i
$916$	9.09514	−	24.5562i	0.300512	−	0.811358i
$917$	0.330895	+	5.53204i	0.0109271	+	0.182684i
$918$	−3.38197	+	18.8683i	−0.111622	+	0.622746i
$919$	6.47734	+	11.2191i	0.213668	+	0.370084i	0.952860	−	0.303411i	$-0.0981256\pi$
$919$	6.47734	+	11.2191i	0.213668	+	0.370084i	−0.739192	+	0.673495i	$0.764792\pi$
$920$	−16.0467	−	9.94931i	−0.529045	−	0.328019i
$921$	0.256570	−	0.444392i	0.00845427	−	0.0146432i
$922$	−11.3538	+	4.09615i	−0.373917	+	0.134900i
$923$	−0.688380			−0.0226583
$924$	−29.1506	−	31.1517i	−0.958984	−	1.02482i
$925$	−12.5128	+	19.5442i	−0.411417	+	0.642609i
$926$	−48.3346	+	17.4379i	−1.58837	+	0.573044i
$927$	−8.69846	−	5.02206i	−0.285695	−	0.164946i
$928$	0.289024	+	1.78631i	0.00948769	+	0.0586386i
$929$	−6.99585	−	12.1172i	−0.229526	−	0.397551i	0.728141	−	0.685427i	$-0.240384\pi$
$929$	−6.99585	−	12.1172i	−0.229526	−	0.397551i	−0.957668	+	0.287875i	$0.907051\pi$
$930$	−18.7152	+	6.27070i	−0.613696	+	0.205624i
$931$	−50.6344	−	21.6538i	−1.65948	−	0.709673i
$932$	−11.1605	+	30.1326i	−0.365576	+	0.987025i
$933$	18.7893	+	32.5441i	0.615135	+	1.06545i
$934$	−13.9747	+	16.5591i	−0.457265	+	0.541831i
$935$	0.646307	−	28.1709i	0.0211365	−	0.921286i
$936$	−0.000725871		0.0856549i	−2.37258e−5		0.00279972i
$937$		−	10.6908i		−	0.349255i	−0.984635	−	0.174627i	$-0.944128\pi$
$937$		−	10.6908i		−	0.349255i	0.984635	−	0.174627i	$-0.0558721\pi$
$938$	−13.0912	+	17.5384i	−0.427444	+	0.572651i
$939$		−	26.4631i		−	0.863589i
$940$	−22.7643	+	18.0182i	−0.742490	+	0.587690i
$941$	−16.2835	−	9.40130i	−0.530828	−	0.306474i	0.210526	−	0.977588i	$-0.432482\pi$
$941$	−16.2835	−	9.40130i	−0.530828	−	0.306474i	−0.741353	+	0.671115i	$0.765816\pi$
$942$	1.61330	−	1.91166i	0.0525641	−	0.0622853i
$943$	−17.7936	+	10.2731i	−0.579439	+	0.334539i
$944$	0.808243	−	0.941417i	0.0263061	−	0.0306405i
$945$	22.9926	−	14.4281i	0.747950	−	0.469347i
$946$	8.81263	−	49.1664i	0.286523	−	1.59854i
$947$	−4.05545	−	7.02425i	−0.131784	−	0.228257i	0.792580	−	0.609768i	$-0.208737\pi$
$947$	−4.05545	−	7.02425i	−0.131784	−	0.228257i	−0.924364	+	0.381511i	$0.875404\pi$
$948$	−0.210738	+	0.174811i	−0.00684444	+	0.00567759i
$949$	0.159174	+	0.0918989i	0.00516699	+	0.00298317i
$950$	12.3155	−	54.2489i	0.399567	−	1.76007i
$951$	−1.30780			−0.0424084
$952$	22.0779	−	1.13290i	0.715547	−	0.0367176i
$953$		−	25.8871i		−	0.838565i	−0.907856	−	0.419283i	$-0.862282\pi$
$953$		−	25.8871i		−	0.838565i	0.907856	−	0.419283i	$-0.137718\pi$
$954$	−1.44670	−	4.00999i	−0.0468388	−	0.129828i
$955$	−1.05045	+	45.7864i	−0.0339918	+	1.48161i
$956$	9.70796	−	8.05292i	0.313978	−	0.260450i
$957$	1.28956	+	2.23359i	0.0416857	+	0.0722018i
$958$	−0.409348	−	0.0733719i	−0.0132254	−	0.00237054i
$959$	7.12373	−	4.70134i	0.230037	−	0.151814i
$960$	28.5838	+	18.0597i	0.922539	+	0.582874i
$961$	10.0474	+	17.4027i	0.324111	+	0.561377i
$962$	−0.223954	+	0.265372i	−0.00722058	+	0.00855595i
$963$	2.25602	−	3.90755i	0.0726993	−	0.125919i
$964$	−3.80278	−	22.3027i	−0.122479	−	0.718321i
$965$	2.71925	+	4.96976i	0.0875359	+	0.159982i
$966$	2.47741	−	20.9666i	0.0797094	−	0.674590i
$967$			14.7860i			0.475485i	0.971328	+	0.237743i	$0.0764075\pi$
$967$			14.7860i			0.475485i	−0.971328	+	0.237743i	$0.923592\pi$
$968$	−0.172491	+	20.3544i	−0.00554406	+	0.654215i
$969$	−21.9637	+	38.0423i	−0.705577	+	1.22209i
$970$	−26.0930	−	5.29736i	−0.837797	−	0.170088i
$971$	6.12689	−	3.53736i	0.196621	−	0.113519i	−0.398457	−	0.917187i	$-0.630454\pi$
$971$	6.12689	−	3.53736i	0.196621	−	0.113519i	0.595079	+	0.803668i	$0.297121\pi$
$972$	−11.0140	−	4.07939i	−0.353275	−	0.130847i
$973$	−39.6347	−	19.8276i	−1.27063	−	0.635645i
$974$	−4.30605	+	24.0238i	−0.137975	+	0.769772i
$975$	0.499430	+	0.0229283i	0.0159946	+	0.000734294i
$976$	−7.92169	−	22.5544i	−0.253567	−	0.721948i
$977$	−33.5026	−	19.3427i	−1.07184	−	0.618828i	−0.143158	−	0.989700i	$-0.545726\pi$
$977$	−33.5026	−	19.3427i	−1.07184	−	0.618828i	−0.928684	+	0.370872i	$0.879059\pi$
$978$	−1.21545	−	3.36899i	−0.0388657	−	0.107728i
$979$			47.1276i			1.50620i
$980$	−22.2162	−	22.0554i	−0.709670	−	0.704534i
$981$			8.75490i			0.279522i
$982$	−12.9832	+	4.68400i	−0.414310	+	0.149472i
$983$	−1.18258	−	0.682763i	−0.0377184	−	0.0217767i	0.481022	−	0.876708i	$-0.340266\pi$
$983$	−1.18258	−	0.682763i	−0.0377184	−	0.0217767i	−0.518741	+	0.854932i	$0.673599\pi$
$984$	32.0188	−	18.1260i	1.02072	−	0.577837i
$985$	36.9948	+	22.5058i	1.17875	+	0.717095i
$986$	−1.31546	−	0.235784i	−0.0418927	−	0.00750888i
$987$	−29.0334	−	14.5243i	−0.924143	−	0.462312i
$988$	0.289109	−	0.780570i	0.00919777	−	0.0248332i
$989$	21.4065	−	12.3591i	0.680688	−	0.392995i
$990$	7.56780	+	1.53640i	0.240520	+	0.0488300i
$991$	−5.10255	+	8.83788i	−0.162088	+	0.280744i	−0.935617	−	0.353016i	$-0.885156\pi$
$991$	−5.10255	+	8.83788i	−0.162088	+	0.280744i	0.773529	+	0.633760i	$0.218489\pi$
$992$	−6.63641	+	17.4620i	−0.210706	+	0.554419i
$993$		−	26.2459i		−	0.832889i
$994$	−48.3507	−	5.71312i	−1.53359	−	0.181209i
$995$	32.7909	−	17.9419i	1.03954	−	0.568795i
$996$	10.4277	+	61.1569i	0.330415	+	1.93783i
$997$	−0.595145	+	1.03082i	−0.0188484	+	0.0326465i	−0.875296	−	0.483588i	$-0.839333\pi$
$997$	−0.595145	+	1.03082i	−0.0188484	+	0.0326465i	0.856447	+	0.516234i	$0.172667\pi$
$998$	−32.8061	−	27.6859i	−1.03846	−	0.876382i
$999$	−10.6478	−	18.4426i	−0.336882	−	0.583497i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bf.a.109.17	yes	88
4.3	odd	2		1120.2.bv.a.529.36		88
5.4	even	2	inner	280.2.bf.a.109.28	yes	88
7.2	even	3	inner	280.2.bf.a.149.12	yes	88
8.3	odd	2		1120.2.bv.a.529.9		88
8.5	even	2	inner	280.2.bf.a.109.33	yes	88
20.19	odd	2		1120.2.bv.a.529.10		88
28.23	odd	6		1120.2.bv.a.849.35		88
35.9	even	6	inner	280.2.bf.a.149.33	yes	88
40.19	odd	2		1120.2.bv.a.529.35		88
40.29	even	2	inner	280.2.bf.a.109.12	✓	88
56.37	even	6	inner	280.2.bf.a.149.28	yes	88
56.51	odd	6		1120.2.bv.a.849.10		88
140.79	odd	6		1120.2.bv.a.849.9		88
280.149	even	6	inner	280.2.bf.a.149.17	yes	88
280.219	odd	6		1120.2.bv.a.849.36		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bf.a.109.12	✓	88	40.29	even	2	inner
280.2.bf.a.109.17	yes	88	1.1	even	1	trivial
280.2.bf.a.109.28	yes	88	5.4	even	2	inner
280.2.bf.a.109.33	yes	88	8.5	even	2	inner
280.2.bf.a.149.12	yes	88	7.2	even	3	inner
280.2.bf.a.149.17	yes	88	280.149	even	6	inner
280.2.bf.a.149.28	yes	88	56.37	even	6	inner
280.2.bf.a.149.33	yes	88	35.9	even	6	inner
1120.2.bv.a.529.9		88	8.3	odd	2
1120.2.bv.a.529.10		88	20.19	odd	2
1120.2.bv.a.529.35		88	40.19	odd	2
1120.2.bv.a.529.36		88	4.3	odd	2
1120.2.bv.a.849.9		88	140.79	odd	6
1120.2.bv.a.849.10		88	56.51	odd	6
1120.2.bv.a.849.35		88	28.23	odd	6
1120.2.bv.a.849.36		88	280.219	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.479934 - 1.33029i) q^{2} +(-0.945048 + 1.63687i) q^{3} +(-1.53933 + 1.27690i) q^{4} +(-1.91034 - 1.16216i) q^{5} +(2.63107 + 0.471595i) q^{6} +(1.18371 - 2.36619i) q^{7} +(2.43742 + 1.43492i) q^{8} +(-0.286230 - 0.495764i) q^{9} +O(q^{10})\)	\(q+(-0.479934 - 1.33029i) q^{2} +(-0.945048 + 1.63687i) q^{3} +(-1.53933 + 1.27690i) q^{4} +(-1.91034 - 1.16216i) q^{5} +(2.63107 + 0.471595i) q^{6} +(1.18371 - 2.36619i) q^{7} +(2.43742 + 1.43492i) q^{8} +(-0.286230 - 0.495764i) q^{9} +(-0.629165 + 3.09906i) q^{10} +(3.69425 + 2.13288i) q^{11} +(-0.635381 - 3.72641i) q^{12} -0.0529028 q^{13} +(-3.71581 - 0.439059i) q^{14} +(3.70766 - 2.02868i) q^{15} +(0.739056 - 3.93113i) q^{16} +(2.55838 + 1.47708i) q^{17} +(-0.522138 + 0.618702i) q^{18} +(6.81317 - 3.93359i) q^{19} +(4.42459 - 0.650372i) q^{20} +(2.75448 + 4.17373i) q^{21} +(1.06434 - 5.93805i) q^{22} +(2.58537 - 1.49266i) q^{23} +(-4.65225 + 2.63367i) q^{24} +(2.29879 + 4.44022i) q^{25} +(0.0253898 + 0.0703759i) q^{26} -4.58828 q^{27} +(1.19927 + 5.15381i) q^{28} -0.319885i q^{29} +(-4.47816 - 3.95862i) q^{30} +(1.65114 - 2.85987i) q^{31} +(-5.58423 + 0.903526i) q^{32} +(-6.98248 + 4.03134i) q^{33} +(0.737088 - 4.11228i) q^{34} +(-5.01116 + 3.14456i) q^{35} +(1.07364 + 0.397657i) q^{36} +(2.32066 + 4.01949i) q^{37} +(-8.50267 - 7.17561i) q^{38} +(0.0499956 - 0.0865950i) q^{39} +(-2.98869 - 5.57384i) q^{40} -6.88242 q^{41} +(4.23030 - 5.66736i) q^{42} +8.27988 q^{43} +(-8.41012 + 1.43399i) q^{44} +(-0.0293599 + 1.27972i) q^{45} +(-3.22647 - 2.72290i) q^{46} +(-5.62207 + 3.24590i) q^{47} +(5.73631 + 4.92485i) q^{48} +(-4.19767 - 5.60175i) q^{49} +(4.80351 - 5.18906i) q^{50} +(-4.83558 + 2.79182i) q^{51} +(0.0814347 - 0.0675515i) q^{52} +(-2.63284 + 4.56021i) q^{53} +(2.20207 + 6.10373i) q^{54} +(-4.57853 - 8.36781i) q^{55} +(6.28048 - 4.06886i) q^{56} +14.8697i q^{57} +(-0.425539 + 0.153524i) q^{58} +(0.268636 + 0.155097i) q^{59} +(-3.11688 + 7.85712i) q^{60} +(5.17560 - 2.98814i) q^{61} +(-4.59688 - 0.823950i) q^{62} +(-1.51188 + 0.0904322i) q^{63} +(3.88201 + 6.99500i) q^{64} +(0.101062 + 0.0614813i) q^{65} +(8.71396 + 7.35393i) q^{66} +(2.92458 - 5.06552i) q^{67} +(-5.82426 + 0.993081i) q^{68} +5.64254i q^{69} +(6.58820 + 5.15710i) q^{70} +13.0122 q^{71} +(0.0137208 - 1.61910i) q^{72} +(-3.00880 - 1.73713i) q^{73} +(4.23332 - 5.01623i) q^{74} +(-9.44053 - 0.433405i) q^{75} +(-5.46491 + 14.7548i) q^{76} +(9.41969 - 6.21658i) q^{77} +(-0.139191 - 0.0249487i) q^{78} +(-0.0362158 - 0.0627276i) q^{79} +(-5.98044 + 6.65089i) q^{80} +(5.19483 - 8.99772i) q^{81} +(3.30311 + 9.15560i) q^{82} -16.4117 q^{83} +(-9.56948 - 2.90755i) q^{84} +(-3.17077 - 5.79496i) q^{85} +(-3.97380 - 11.0146i) q^{86} +(0.523611 + 0.302307i) q^{87} +(5.94392 + 10.4997i) q^{88} +(5.52395 + 9.56777i) q^{89} +(1.71649 - 0.575124i) q^{90} +(-0.0626214 + 0.125178i) q^{91} +(-2.07375 + 5.59895i) q^{92} +(3.12082 + 5.40542i) q^{93} +(7.01620 + 5.92115i) q^{94} +(-17.5869 - 0.403486i) q^{95} +(3.79841 - 9.99454i) q^{96} +8.41967i q^{97} +(-5.43733 + 8.27257i) q^{98} -2.44197i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 40 * q^9	\( 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) \) 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

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