LMFDB - Embedded newform 260.2.o.a.183.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 0]))

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

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

chi := DirichletCharacter("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (of order $4$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.2
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +O(q^{10})$	\(q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +(1.51970 + 2.77318i) q^{10} +0.497041i q^{11} +(-2.88234 + 3.60941i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-4.54342 - 4.06297i) q^{14} +(4.86888 + 1.72154i) q^{15} +(3.90089 - 0.884894i) q^{16} +(-2.41342 + 2.41342i) q^{17} +(0.183975 + 3.29556i) q^{18} -5.62862 q^{19} +(-2.36444 - 3.79598i) q^{20} -9.95385 q^{21} +(-0.0391797 - 0.701829i) q^{22} +(-4.41675 + 4.41675i) q^{23} +(3.78540 - 5.32375i) q^{24} +(-3.14287 + 3.88875i) q^{25} +(-1.05418 - 0.942707i) q^{26} +(-1.08773 - 1.08773i) q^{27} +(6.73565 + 5.37884i) q^{28} +5.13981i q^{29} +(-7.01064 - 2.04704i) q^{30} +3.14912i q^{31} +(-5.43837 + 1.55698i) q^{32} +(-0.811710 - 0.811710i) q^{33} +(3.21754 - 3.59802i) q^{34} +(3.21261 - 9.08599i) q^{35} +(-0.519552 - 4.63888i) q^{36} +(4.40088 - 4.40088i) q^{37} +(7.94770 - 0.443681i) q^{38} -2.30953 q^{39} +(3.63784 + 5.17360i) q^{40} +8.49850 q^{41} +(14.0550 - 0.784621i) q^{42} +(-5.16698 + 5.16698i) q^{43} +(0.110645 + 0.987905i) q^{44} +(-4.70939 + 2.24903i) q^{45} +(5.88836 - 6.58467i) q^{46} +(0.110788 + 0.110788i) q^{47} +(-4.92539 + 7.81560i) q^{48} +11.5752i q^{49} +(4.13125 - 5.73871i) q^{50} -7.88265i q^{51} +(1.56283 + 1.24802i) q^{52} +(0.203180 + 0.203180i) q^{53} +(1.62163 + 1.45015i) q^{54} +(1.00292 - 0.478958i) q^{55} +(-9.93483 - 7.06405i) q^{56} +(9.19203 - 9.19203i) q^{57} +(-0.405150 - 7.25749i) q^{58} +7.36019 q^{59} +(10.0605 + 2.33783i) q^{60} -6.43106 q^{61} +(-0.248232 - 4.44661i) q^{62} +(7.11283 - 7.11283i) q^{63} +(7.55632 - 2.62716i) q^{64} +(0.745404 - 2.10817i) q^{65} +(1.21013 + 1.08216i) q^{66} +(7.40905 + 7.40905i) q^{67} +(-4.25960 + 5.33409i) q^{68} -14.4259i q^{69} +(-3.82005 + 13.0828i) q^{70} -0.618858i q^{71} +(1.09928 + 6.50922i) q^{72} +(-11.5363 - 11.5363i) q^{73} +(-5.86720 + 6.56101i) q^{74} +(-1.21807 - 11.4832i) q^{75} +(-11.1873 + 1.25297i) q^{76} +(-1.51476 + 1.51476i) q^{77} +(3.26110 - 0.182051i) q^{78} +2.69514 q^{79} +(-5.54450 - 7.01844i) q^{80} +10.5545 q^{81} +(-12.0000 + 0.669902i) q^{82} +(5.93375 - 5.93375i) q^{83} +(-19.7840 + 2.21579i) q^{84} +(7.19537 + 2.54413i) q^{85} +(6.88856 - 7.70314i) q^{86} +(-8.39376 - 8.39376i) q^{87} +(-0.234104 - 1.38621i) q^{88} +12.7437i q^{89} +(6.47244 - 3.54689i) q^{90} +4.30990i q^{91} +(-7.79541 + 9.76181i) q^{92} +(-5.14279 - 5.14279i) q^{93} +(-0.165168 - 0.147702i) q^{94} +(5.42385 + 11.3573i) q^{95} +(6.33865 - 11.4240i) q^{96} +(8.15212 - 8.15212i) q^{97} +(-0.912426 - 16.3444i) q^{98} +1.16007 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.41202	+	0.0788259i	−0.998445	+	0.0557383i
$2$	−1.41202	+	0.0788259i	−0.998445	+	0.0557383i
$3$	−1.63309	+	1.63309i	−0.942863	+	0.942863i	−0.998454	−	0.0555906i	$-0.982296\pi$
$3$	−1.63309	+	1.63309i	−0.942863	+	0.942863i	0.0555906	+	0.998454i	$0.482296\pi$
$4$	1.98757	−	0.222607i	0.993786	−	0.111303i
$5$	−0.963620	−	2.01778i	−0.430944	−	0.902379i
$5$	−0.963620	−	2.01778i	−0.430944	−	0.902379i
$6$	2.17721	−	2.43467i	0.888844	−	0.993951i
$7$	3.04756	+	3.04756i	1.15187	+	1.15187i	0.986178	+	0.165690i	$0.0529853\pi$
$7$	3.04756	+	3.04756i	1.15187	+	1.15187i	0.165690	+	0.986178i	$0.447015\pi$
$8$	−2.78894	+	0.470996i	−0.986038	+	0.166522i
$9$		−	2.33394i		−	0.777981i
$10$	1.51970	+	2.77318i	0.480571	+	0.876956i
$11$			0.497041i			0.149863i	0.997189	+	0.0749317i	$0.0238739\pi$
$11$			0.497041i			0.149863i	−0.997189	+	0.0749317i	$0.976126\pi$
$12$	−2.88234	+	3.60941i	−0.832061	+	1.04195i
$13$	0.707107	+	0.707107i	0.196116	+	0.196116i
$13$	0.707107	+	0.707107i	0.196116	+	0.196116i
$14$	−4.54342	−	4.06297i	−1.21428	−	1.08587i
$15$	4.86888	+	1.72154i	1.25714	+	0.444499i
$16$	3.90089	−	0.884894i	0.975223	−	0.221224i
$17$	−2.41342	+	2.41342i	−0.585340	+	0.585340i	−0.936366	−	0.351026i	$-0.885833\pi$
$17$	−2.41342	+	2.41342i	−0.585340	+	0.585340i	0.351026	+	0.936366i	$0.385833\pi$
$18$	0.183975	+	3.29556i	0.0433634	+	0.776772i
$19$	−5.62862			−1.29129			−0.645647	−	0.763636i	$-0.723412\pi$
$19$	−5.62862			−1.29129			−0.645647	+	0.763636i	$0.723412\pi$
$20$	−2.36444	−	3.79598i	−0.528704	−	0.848806i
$21$	−9.95385			−2.17211
$22$	−0.0391797	−	0.701829i	−0.00835314	−	0.149630i
$23$	−4.41675	+	4.41675i	−0.920956	+	0.920956i	−0.997097	−	0.0761410i	$-0.975740\pi$
$23$	−4.41675	+	4.41675i	−0.920956	+	0.920956i	0.0761410	+	0.997097i	$0.475740\pi$
$24$	3.78540	−	5.32375i	0.772691	−	1.08671i
$25$	−3.14287	+	3.88875i	−0.628575	+	0.777749i
$26$	−1.05418	−	0.942707i	−0.206742	−	0.184880i
$27$	−1.08773	−	1.08773i	−0.209333	−	0.209333i
$28$	6.73565	+	5.37884i	1.27292	+	1.01650i
$29$			5.13981i			0.954439i	0.878784	+	0.477220i	$0.158355\pi$
$29$			5.13981i			0.954439i	−0.878784	+	0.477220i	$0.841645\pi$
$30$	−7.01064	−	2.04704i	−1.27996	−	0.373737i
$31$			3.14912i			0.565599i	0.959179	+	0.282800i	$0.0912631\pi$
$31$			3.14912i			0.565599i	−0.959179	+	0.282800i	$0.908737\pi$
$32$	−5.43837	+	1.55698i	−0.961376	+	0.275237i
$33$	−0.811710	−	0.811710i	−0.141301	−	0.141301i
$34$	3.21754	−	3.59802i	0.551804	−	0.617056i
$35$	3.21261	−	9.08599i	0.543031	−	1.53581i
$36$	−0.519552	−	4.63888i	−0.0865919	−	0.773147i
$37$	4.40088	−	4.40088i	0.723500	−	0.723500i	−0.245817	−	0.969316i	$-0.579056\pi$
$37$	4.40088	−	4.40088i	0.723500	−	0.723500i	0.969316	+	0.245817i	$0.0790561\pi$
$38$	7.94770	−	0.443681i	1.28929	−	0.0719746i
$39$	−2.30953			−0.369821
$40$	3.63784	+	5.17360i	0.575193	+	0.818018i
$41$	8.49850			1.32724			0.663621	−	0.748069i	$-0.269019\pi$
$41$	8.49850			1.32724			0.663621	+	0.748069i	$0.269019\pi$
$42$	14.0550	−	0.784621i	2.16873	−	0.121070i
$43$	−5.16698	+	5.16698i	−0.787957	+	0.787957i	−0.981159	−	0.193202i	$-0.938113\pi$
$43$	−5.16698	+	5.16698i	−0.787957	+	0.787957i	0.193202	+	0.981159i	$0.438113\pi$
$44$	0.110645	+	0.987905i	0.0166803	+	0.148932i
$45$	−4.70939	+	2.24903i	−0.702034	+	0.335266i
$46$	5.88836	−	6.58467i	0.868192	−	0.970857i
$47$	0.110788	+	0.110788i	0.0161601	+	0.0161601i	0.715141	−	0.698981i	$-0.246363\pi$
$47$	0.110788	+	0.110788i	0.0161601	+	0.0161601i	−0.698981	+	0.715141i	$0.746363\pi$
$48$	−4.92539	+	7.81560i	−0.710918	+	1.12809i
$49$			11.5752i			1.65360i
$50$	4.13125	−	5.73871i	0.584247	−	0.811576i
$51$		−	7.88265i		−	1.10379i
$52$	1.56283	+	1.24802i	0.216726	+	0.173069i
$53$	0.203180	+	0.203180i	0.0279090	+	0.0279090i	0.720924	−	0.693015i	$-0.243718\pi$
$53$	0.203180	+	0.203180i	0.0279090	+	0.0279090i	−0.693015	+	0.720924i	$0.743718\pi$
$54$	1.62163	+	1.45015i	0.220676	+	0.197340i
$55$	1.00292	−	0.478958i	0.135234	−	0.0645827i
$56$	−9.93483	−	7.06405i	−1.32760	−	0.943974i
$57$	9.19203	−	9.19203i	1.21751	−	1.21751i
$58$	−0.405150	−	7.25749i	−0.0531988	−	0.952955i
$59$	7.36019			0.958216			0.479108	−	0.877756i	$-0.340960\pi$
$59$	7.36019			0.958216			0.479108	+	0.877756i	$0.340960\pi$
$60$	10.0605	+	2.33783i	1.29880	+	0.301813i
$61$	−6.43106			−0.823413			−0.411707	−	0.911316i	$-0.635067\pi$
$61$	−6.43106			−0.823413			−0.411707	+	0.911316i	$0.635067\pi$
$62$	−0.248232	−	4.44661i	−0.0315256	−	0.564720i
$63$	7.11283	−	7.11283i	0.896132	−	0.896132i
$64$	7.55632	−	2.62716i	0.944541	−	0.328395i
$65$	0.745404	−	2.10817i	0.0924560	−	0.261486i
$66$	1.21013	+	1.08216i	0.148957	+	0.133205i
$67$	7.40905	+	7.40905i	0.905159	+	0.905159i	0.995877	−	0.0907174i	$-0.0289160\pi$
$67$	7.40905	+	7.40905i	0.905159	+	0.905159i	−0.0907174	+	0.995877i	$0.528916\pi$
$68$	−4.25960	+	5.33409i	−0.516553	+	0.646853i
$69$		−	14.4259i		−	1.73667i
$70$	−3.82005	+	13.0828i	−0.456583	+	1.56369i
$71$		−	0.618858i		−	0.0734449i	−0.999326	−	0.0367225i	$-0.988308\pi$
$71$		−	0.618858i		−	0.0734449i	0.999326	−	0.0367225i	$-0.0116917\pi$
$72$	1.09928	+	6.50922i	0.129551	+	0.767119i
$73$	−11.5363	−	11.5363i	−1.35023	−	1.35023i	−0.885405	−	0.464820i	$-0.846119\pi$
$73$	−11.5363	−	11.5363i	−1.35023	−	1.35023i	−0.464820	−	0.885405i	$-0.653881\pi$
$74$	−5.86720	+	6.56101i	−0.682048	+	0.762701i
$75$	−1.21807	−	11.4832i	−0.140651	−	1.32597i
$76$	−11.1873	+	1.25297i	−1.28327	+	0.143725i
$77$	−1.51476	+	1.51476i	−0.172623	+	0.172623i
$78$	3.26110	−	0.182051i	0.369246	−	0.0206132i
$79$	2.69514			0.303227			0.151613	−	0.988440i	$-0.451553\pi$
$79$	2.69514			0.303227			0.151613	+	0.988440i	$0.451553\pi$
$80$	−5.54450	−	7.01844i	−0.619894	−	0.784686i
$81$	10.5545			1.17273
$82$	−12.0000	+	0.669902i	−1.32518	+	0.0739783i
$83$	5.93375	−	5.93375i	0.651314	−	0.651314i	−0.301995	−	0.953309i	$-0.597653\pi$
$83$	5.93375	−	5.93375i	0.651314	−	0.651314i	0.953309	+	0.301995i	$0.0976527\pi$
$84$	−19.7840	+	2.21579i	−2.15861	+	0.241763i
$85$	7.19537	+	2.54413i	0.780447	+	0.275950i
$86$	6.88856	−	7.70314i	0.742812	−	0.830651i
$87$	−8.39376	−	8.39376i	−0.899905	−	0.899905i
$88$	−0.234104	−	1.38621i	−0.0249556	−	0.147771i
$89$			12.7437i			1.35083i	0.737440	+	0.675413i	$0.236035\pi$
$89$			12.7437i			1.35083i	−0.737440	+	0.675413i	$0.763965\pi$
$90$	6.47244	−	3.54689i	0.682255	−	0.373875i
$91$			4.30990i			0.451800i
$92$	−7.79541	+	9.76181i	−0.812728	+	1.01774i
$93$	−5.14279	−	5.14279i	−0.533282	−	0.533282i
$94$	−0.165168	−	0.147702i	−0.0170357	−	0.0152343i
$95$	5.42385	+	11.3573i	0.556476	+	1.16524i
$96$	6.33865	−	11.4240i	0.646936	−	1.16596i
$97$	8.15212	−	8.15212i	0.827723	−	0.827723i	−0.159479	−	0.987201i	$-0.550981\pi$
$97$	8.15212	−	8.15212i	0.827723	−	0.827723i	0.987201	+	0.159479i	$0.0509814\pi$
$98$	−0.912426	−	16.3444i	−0.0921690	−	1.65103i
$99$	1.16007			0.116591
$100$	−5.38103	+	8.42879i	−0.538103	+	0.842879i
$101$	−4.18013			−0.415938			−0.207969	−	0.978135i	$-0.566685\pi$
$101$	−4.18013			−0.415938			−0.207969	+	0.978135i	$0.566685\pi$
$102$	0.621357	+	11.1304i	0.0615235	+	1.10208i
$103$	−3.46965	+	3.46965i	−0.341875	+	0.341875i	−0.857072	−	0.515197i	$-0.827719\pi$
$103$	−3.46965	+	3.46965i	−0.341875	+	0.341875i	0.515197	+	0.857072i	$0.327719\pi$
$104$	−2.30512	−	1.63903i	−0.226036	−	0.160720i
$105$	9.59172	+	20.0847i	0.936056	+	1.96006i
$106$	−0.302910	−	0.270878i	−0.0294212	−	0.0263100i
$107$	−9.43408	−	9.43408i	−0.912027	−	0.912027i	0.0844046	−	0.996432i	$-0.473101\pi$
$107$	−9.43408	−	9.43408i	−0.912027	−	0.912027i	−0.996432	+	0.0844046i	$0.973101\pi$
$108$	−2.40407	−	1.91980i	−0.231332	−	0.184733i
$109$			10.2008i			0.977061i	0.872547	+	0.488531i	$0.162467\pi$
$109$			10.2008i			0.977061i	−0.872547	+	0.488531i	$0.837533\pi$
$110$	−1.37838	+	0.755352i	−0.131424	+	0.0720200i
$111$			14.3740i			1.36432i
$112$	14.5850	+	9.19143i	1.37815	+	0.868508i
$113$	9.50714	+	9.50714i	0.894357	+	0.894357i	0.994930	−	0.100573i	$-0.0320676\pi$
$113$	9.50714	+	9.50714i	0.894357	+	0.894357i	−0.100573	+	0.994930i	$0.532068\pi$
$114$	−12.2547	+	13.7039i	−1.14776	+	1.28348i
$115$	13.1681	+	4.65596i	1.22793	+	0.434171i
$116$	1.14416	+	10.2158i	0.106232	+	0.948509i
$117$	1.65035	−	1.65035i	0.152575	−	0.152575i
$118$	−10.3927	+	0.580174i	−0.956726	+	0.0534093i
$119$	−14.7101			−1.34847
$120$	−14.3898	−	2.50803i	−1.31361	−	0.228950i
$121$	10.7530			0.977541
$122$	9.08076	−	0.506934i	0.822133	−	0.0458957i
$123$	−13.8788	+	13.8788i	−1.25141	+	1.25141i
$124$	0.701016	+	6.25911i	0.0629531	+	0.562085i
$125$	10.8752	+	2.59436i	0.972705	+	0.232046i
$126$	−9.48274	+	10.6041i	−0.844790	+	0.944688i
$127$	0.0846773	+	0.0846773i	0.00751389	+	0.00751389i	0.710854	−	0.703340i	$-0.248309\pi$
$127$	0.0846773	+	0.0846773i	0.00751389	+	0.00751389i	−0.703340	+	0.710854i	$0.748309\pi$
$128$	−10.4626	+	4.30522i	−0.924768	+	0.380531i
$129$		−	16.8762i		−	1.48587i
$130$	−0.886344	+	3.03552i	−0.0777375	+	0.266233i
$131$		−	12.2879i		−	1.07360i	−0.843709	−	0.536801i	$-0.819633\pi$
$131$		−	12.2879i		−	1.07360i	0.843709	−	0.536801i	$-0.180367\pi$
$132$	−1.79403	−	1.43264i	−0.156150	−	0.124695i
$133$	−17.1536	−	17.1536i	−1.48740	−	1.48740i
$134$	−11.0457	−	9.87766i	−0.954204	−	0.853300i
$135$	−1.14664	+	3.24295i	−0.0986870	+	0.279109i
$136$	5.59416	−	7.86758i	0.479695	−	0.674640i
$137$	−2.43793	+	2.43793i	−0.208286	+	0.208286i	−0.803539	−	0.595253i	$-0.797052\pi$
$137$	−2.43793	+	2.43793i	−0.208286	+	0.208286i	0.595253	+	0.803539i	$0.297052\pi$
$138$	1.13713	+	20.3695i	0.0967991	+	1.73397i
$139$	−2.17145			−0.184180			−0.0920899	−	0.995751i	$-0.529355\pi$
$139$	−2.17145			−0.184180			−0.0920899	+	0.995751i	$0.529355\pi$
$140$	4.36270	−	18.7742i	0.368716	−	1.58671i
$141$	−0.361854			−0.0304736
$142$	0.0487820	+	0.873837i	0.00409370	+	0.0733307i
$143$	−0.351461	+	0.351461i	−0.0293906	+	0.0293906i
$144$	−2.06529	−	9.10446i	−0.172108	−	0.758705i
$145$	10.3710	−	4.95282i	0.861266	−	0.411310i
$146$	17.1988	+	15.3801i	1.42339	+	1.27287i
$147$	−18.9033	−	18.9033i	−1.55912	−	1.55912i
$148$	7.76740	−	9.72673i	0.638476	−	0.799532i
$149$		−	0.402191i		−	0.0329488i	−0.999864	−	0.0164744i	$-0.994756\pi$
$149$		−	0.402191i		−	0.0329488i	0.999864	−	0.0164744i	$-0.00524420\pi$
$150$	2.62511	+	16.1185i	0.214340	+	1.31607i
$151$		−	11.5532i		−	0.940189i	−0.882616	−	0.470095i	$-0.844220\pi$
$151$		−	11.5532i		−	0.940189i	0.882616	−	0.470095i	$-0.155780\pi$
$152$	15.6979	−	2.65106i	1.27327	−	0.215029i
$153$	5.63279	+	5.63279i	0.455384	+	0.455384i
$154$	2.01946	−	2.25827i	0.162733	−	0.181976i
$155$	6.35424	−	3.03456i	0.510385	−	0.243741i
$156$	−4.59037	+	0.514118i	−0.367523	+	0.0411624i
$157$	10.9364	−	10.9364i	0.872818	−	0.872818i	−0.119960	−	0.992779i	$-0.538277\pi$
$157$	10.9364	−	10.9364i	0.872818	−	0.872818i	0.992779	+	0.119960i	$0.0382767\pi$
$158$	−3.80557	+	0.212447i	−0.302755	+	0.0169013i
$159$	−0.663622			−0.0526287
$160$	8.38215	+	9.47310i	0.662667	+	0.748914i
$161$	−26.9206			−2.12164
$162$	−14.9032	+	0.831971i	−1.17090	+	0.0653658i
$163$	5.15794	−	5.15794i	0.404001	−	0.404001i	−0.475639	−	0.879640i	$-0.657783\pi$
$163$	5.15794	−	5.15794i	0.404001	−	0.404001i	0.879640	+	0.475639i	$0.157783\pi$
$164$	16.8914	−	1.89182i	1.31900	−	0.147727i
$165$	−0.855673	+	2.42003i	−0.0666141	+	0.188399i
$166$	−7.91081	+	8.84628i	−0.613998	+	0.686605i
$167$	−4.88399	−	4.88399i	−0.377935	−	0.377935i	0.492422	−	0.870357i	$-0.336112\pi$
$167$	−4.88399	−	4.88399i	−0.377935	−	0.377935i	−0.870357	+	0.492422i	$0.836112\pi$
$168$	27.7606	−	4.68823i	2.14178	−	0.361705i
$169$			1.00000i			0.0769231i
$170$	−10.3605	−	3.02517i	−0.794615	−	0.232020i
$171$			13.1369i			1.00460i
$172$	−9.11954	+	11.4200i	−0.695359	+	0.870763i
$173$	11.3759	+	11.3759i	0.864896	+	0.864896i	0.991902	−	0.127006i	$-0.0405367\pi$
$173$	11.3759	+	11.3759i	0.864896	+	0.864896i	−0.127006	+	0.991902i	$0.540537\pi$
$174$	12.5138	+	11.1905i	0.948666	+	0.848347i
$175$	−21.4293	+	2.27308i	−1.61990	+	0.171829i
$176$	0.439828	+	1.93890i	0.0331533	+	0.146150i
$177$	−12.0198	+	12.0198i	−0.903466	+	0.903466i
$178$	−1.00453	−	17.9942i	−0.0752928	−	1.34873i
$179$	14.2199			1.06285			0.531423	−	0.847106i	$-0.321657\pi$
$179$	14.2199			1.06285			0.531423	+	0.847106i	$0.321657\pi$
$180$	−8.85960	+	5.51846i	−0.660355	+	0.411322i
$181$	−10.4080			−0.773624			−0.386812	−	0.922159i	$-0.626424\pi$
$181$	−10.4080			−0.773624			−0.386812	+	0.922159i	$0.626424\pi$
$182$	−0.339732	−	6.08564i	−0.0251826	−	0.451098i
$183$	10.5025	−	10.5025i	0.776366	−	0.776366i
$184$	10.2378	−	14.3983i	0.754738	−	1.06146i
$185$	−13.1208	−	4.63923i	−0.964658	−	0.341083i
$186$	7.66708	+	6.85631i	0.562178	+	0.502729i
$187$	−1.19957	−	1.19957i	−0.0877211	−	0.0877211i
$188$	0.244862	+	0.195538i	0.0178584	+	0.0142610i
$189$		−	6.62982i		−	0.482249i
$190$	−8.55381	−	15.6092i	−0.620559	−	1.13241i
$191$		−	7.07244i		−	0.511744i	−0.966711	−	0.255872i	$-0.917637\pi$
$191$		−	7.07244i		−	0.511744i	0.966711	−	0.255872i	$-0.0823626\pi$
$192$	−8.04976	+	16.6305i	−0.580941	+	1.20020i
$193$	15.3297	+	15.3297i	1.10345	+	1.10345i	0.993991	+	0.109464i	$0.0349134\pi$
$193$	15.3297	+	15.3297i	1.10345	+	1.10345i	0.109464	+	0.993991i	$0.465087\pi$
$194$	−10.8683	+	12.1535i	−0.780300	+	0.872572i
$195$	2.22551	+	4.66013i	0.159372	+	0.333719i
$196$	2.57672	+	23.0066i	0.184051	+	1.64333i
$197$	−3.85661	+	3.85661i	−0.274772	+	0.274772i	−0.831018	−	0.556246i	$-0.812241\pi$
$197$	−3.85661	+	3.85661i	−0.274772	+	0.274772i	0.556246	+	0.831018i	$0.312241\pi$
$198$	−1.63803	+	0.0914432i	−0.116410	+	0.00649858i
$199$	−3.17819			−0.225296			−0.112648	−	0.993635i	$-0.535933\pi$
$199$	−3.17819			−0.225296			−0.112648	+	0.993635i	$0.535933\pi$
$200$	6.93369	−	12.3257i	0.490286	−	0.871562i
$201$	−24.1992			−1.70688
$202$	5.90240	−	0.329502i	0.415292	−	0.0231837i
$203$	−15.6639	+	15.6639i	−1.09939	+	1.09939i
$204$	−1.75473	−	15.6673i	−0.122856	−	1.09693i
$205$	−8.18932	−	17.1481i	−0.571967	−	1.19768i
$206$	4.62570	−	5.17269i	0.322288	−	0.360399i
$207$	10.3084	+	10.3084i	0.716487	+	0.716487i
$208$	3.38406	+	2.13263i	0.234642	+	0.147871i
$209$		−	2.79766i		−	0.193518i
$210$	−15.1269	−	27.6038i	−1.04385	−	1.90484i
$211$			10.6465i			0.732937i	0.930430	+	0.366469i	$0.119433\pi$
$211$			10.6465i			0.732937i	−0.930430	+	0.366469i	$0.880567\pi$
$212$	0.449065	+	0.358606i	0.0308419	+	0.0246292i
$213$	1.01065	+	1.01065i	0.0692485	+	0.0692485i
$214$	14.0647	+	12.5774i	0.961444	+	0.859774i
$215$	15.4048	+	5.44683i	1.05060	+	0.371470i
$216$	3.54592	+	2.52129i	0.241269	+	0.171552i
$217$	−9.59713	+	9.59713i	−0.651496	+	0.651496i
$218$	−0.804089	−	14.4037i	−0.0544598	−	0.975542i
$219$	37.6796			2.54615
$220$	1.88676	−	1.17522i	0.127205	−	0.0792334i
$221$	−3.41309			−0.229589
$222$	−1.13305	−	20.2963i	−0.0760450	−	1.36220i
$223$	13.3536	−	13.3536i	0.894220	−	0.894220i	−0.100697	−	0.994917i	$-0.532107\pi$
$223$	13.3536	−	13.3536i	0.894220	−	0.894220i	0.994917	+	0.100697i	$0.0321072\pi$
$224$	−21.3187	−	11.8288i	−1.42442	−	0.790342i
$225$	9.07611	+	7.33529i	0.605074	+	0.489020i
$226$	−14.1736	−	12.6748i	−0.942816	−	0.843116i
$227$	5.71415	+	5.71415i	0.379262	+	0.379262i	0.870836	−	0.491574i	$-0.163578\pi$
$227$	5.71415	+	5.71415i	0.379262	+	0.379262i	−0.491574	+	0.870836i	$0.663578\pi$
$228$	16.2236	−	20.3160i	1.07444	−	1.34546i
$229$		−	12.9982i		−	0.858948i	−0.903079	−	0.429474i	$-0.858699\pi$
$229$		−	12.9982i		−	0.858948i	0.903079	−	0.429474i	$-0.141301\pi$
$230$	−18.9606	−	5.53630i	−1.25022	−	0.365053i
$231$		−	4.94747i		−	0.325519i
$232$	−2.42083	−	14.3346i	−0.158935	−	0.941113i
$233$	0.881833	+	0.881833i	0.0577708	+	0.0577708i	0.735402	−	0.677631i	$-0.236993\pi$
$233$	0.881833	+	0.881833i	0.0577708	+	0.0577708i	−0.677631	+	0.735402i	$0.736993\pi$
$234$	−2.20023	+	2.46041i	−0.143833	+	0.160842i
$235$	0.116789	−	0.330304i	0.00761845	−	0.0215467i
$236$	14.6289	−	1.63843i	0.952262	−	0.106653i
$237$	−4.40139	+	4.40139i	−0.285901	+	0.285901i
$238$	20.7708	−	1.15953i	1.34637	−	0.0751614i
$239$	−6.13684			−0.396960			−0.198480	−	0.980105i	$-0.563600\pi$
$239$	−6.13684			−0.396960			−0.198480	+	0.980105i	$0.563600\pi$
$240$	20.5164	+	2.40708i	1.32433	+	0.155376i
$241$	23.7790			1.53174			0.765869	−	0.642997i	$-0.222309\pi$
$241$	23.7790			1.53174			0.765869	+	0.642997i	$0.222309\pi$
$242$	−15.1833	+	0.847611i	−0.976021	+	0.0544865i
$243$	−13.9733	+	13.9733i	−0.896387	+	0.896387i
$244$	−12.7822	+	1.43160i	−0.818297	+	0.0916487i
$245$	23.3562	−	11.1541i	1.49217	−	0.712609i
$246$	18.5030	−	20.6911i	1.17971	−	1.31921i
$247$	−3.98004	−	3.98004i	−0.253244	−	0.253244i
$248$	−1.48323	−	8.78270i	−0.0941849	−	0.557702i
$249$			19.3807i			1.22820i
$250$	−15.5604	−	2.80603i	−0.984126	−	0.177469i
$251$			21.3919i			1.35025i	0.737705	+	0.675124i	$0.235910\pi$
$251$			21.3919i			1.35025i	−0.737705	+	0.675124i	$0.764090\pi$
$252$	12.5539	−	15.7206i	0.790821	−	0.990306i
$253$	−2.19530	−	2.19530i	−0.138018	−	0.138018i
$254$	−0.126240	−	0.112891i	−0.00792103	−	0.00708340i
$255$	−15.9054	+	7.59587i	−0.996038	+	0.475672i
$256$	14.4339	−	6.90375i	0.902120	−	0.431485i
$257$	11.7799	−	11.7799i	0.734811	−	0.734811i	−0.236758	−	0.971569i	$-0.576085\pi$
$257$	11.7799	−	11.7799i	0.734811	−	0.734811i	0.971569	+	0.236758i	$0.0760847\pi$
$258$	1.33029	+	23.8295i	0.0828200	+	1.48356i
$259$	26.8238			1.66675
$260$	1.01225	−	4.35607i	0.0627772	−	0.270152i
$261$	11.9960			0.742536
$262$	0.968608	+	17.3508i	0.0598408	+	1.07193i
$263$	11.1802	−	11.1802i	0.689398	−	0.689398i	−0.272701	−	0.962099i	$-0.587917\pi$
$263$	11.1802	−	11.1802i	0.689398	−	0.689398i	0.962099	+	0.272701i	$0.0879169\pi$
$264$	2.64612	+	1.88150i	0.162857	+	0.115798i
$265$	0.214185	−	0.605762i	0.0131573	−	0.0372117i
$266$	25.5732	+	22.8689i	1.56799	+	1.40218i
$267$	−20.8115	−	20.8115i	−1.27364	−	1.27364i
$268$	16.3753	+	13.0767i	1.00028	+	0.798788i
$269$			1.87020i			0.114028i	0.998373	+	0.0570141i	$0.0181580\pi$
$269$			1.87020i			0.114028i	−0.998373	+	0.0570141i	$0.981842\pi$
$270$	1.36344	−	4.66948i	0.0829765	−	0.284175i
$271$		−	23.6707i		−	1.43789i	−0.695066	−	0.718946i	$-0.744625\pi$
$271$		−	23.6707i		−	1.43789i	0.695066	−	0.718946i	$-0.255375\pi$
$272$	−7.27887	+	11.5501i	−0.441346	+	0.700328i
$273$	−7.03843	−	7.03843i	−0.425985	−	0.425985i
$274$	3.25022	−	3.63456i	0.196353	−	0.219572i
$275$	−1.93286	−	1.56214i	−0.116556	−	0.0942004i
$276$	−3.21130	−	28.6725i	−0.193297	−	1.72588i
$277$	−11.2334	+	11.2334i	−0.674949	+	0.674949i	−0.958853	−	0.283903i	$-0.908370\pi$
$277$	−11.2334	+	11.2334i	−0.674949	+	0.674949i	0.283903	+	0.958853i	$0.408370\pi$
$278$	3.06612	−	0.171166i	0.183893	−	0.0102659i
$279$	7.34988			0.440026
$280$	−4.68031	+	26.8534i	−0.279702	+	1.60480i
$281$	5.48143			0.326995			0.163497	−	0.986544i	$-0.447723\pi$
$281$	5.48143			0.326995			0.163497	+	0.986544i	$0.447723\pi$
$282$	0.510943	−	0.0285234i	0.0304262	−	0.00169855i
$283$	−7.89795	+	7.89795i	−0.469484	+	0.469484i	−0.901747	−	0.432263i	$-0.857715\pi$
$283$	−7.89795	+	7.89795i	−0.469484	+	0.469484i	0.432263	+	0.901747i	$0.357715\pi$
$284$	−0.137762	−	1.23003i	−0.00817467	−	0.0729886i
$285$	−27.4051	−	9.68988i	−1.62334	−	0.573979i
$286$	0.468564	−	0.523972i	0.0277068	−	0.0309831i
$287$	25.8997	+	25.8997i	1.52881	+	1.52881i
$288$	3.63389	+	12.6928i	0.214129	+	0.747933i
$289$			5.35082i			0.314754i
$290$	−14.2536	+	7.81097i	−0.837001	+	0.458676i
$291$			26.6262i			1.56086i
$292$	−25.4974	−	20.3612i	−1.49212	−	1.19155i
$293$	−12.2389	−	12.2389i	−0.715005	−	0.715005i	0.252573	−	0.967578i	$-0.418723\pi$
$293$	−12.2389	−	12.2389i	−0.715005	−	0.715005i	−0.967578	+	0.252573i	$0.918723\pi$
$294$	28.1818	+	25.2017i	1.64360	+	1.46979i
$295$	−7.09243	−	14.8513i	−0.412937	−	0.864673i
$296$	−10.2010	+	14.3466i	−0.592919	+	0.833877i
$297$	0.540645	−	0.540645i	0.0313714	−	0.0313714i
$298$	0.0317031	+	0.567900i	0.00183651	+	0.0328976i
$299$	−6.24623			−0.361229
$300$	−4.97725	−	22.5526i	−0.287362	−	1.30208i
$301$	−31.4933			−1.81524
$302$	0.910695	+	16.3133i	0.0524046	+	0.938728i
$303$	6.82651	−	6.82651i	0.392173	−	0.392173i
$304$	−21.9567	+	4.98074i	−1.25930	+	0.285665i
$305$	6.19710	+	12.9765i	0.354845	+	0.743031i
$306$	−8.39759	−	7.50957i	−0.480058	−	0.429293i
$307$	4.60280	+	4.60280i	0.262696	+	0.262696i	0.826148	−	0.563453i	$-0.190527\pi$
$307$	4.60280	+	4.60280i	0.262696	+	0.262696i	−0.563453	+	0.826148i	$0.690527\pi$
$308$	−2.67350	+	3.34789i	−0.152337	+	0.190764i
$309$		−	11.3325i		−	0.644682i
$310$	−8.73308	+	4.78572i	−0.496005	+	0.271810i
$311$			32.5052i			1.84320i	0.388141	+	0.921600i	$0.373118\pi$
$311$			32.5052i			1.84320i	−0.388141	+	0.921600i	$0.626882\pi$
$312$	6.44114	−	1.08778i	0.364658	−	0.0615835i
$313$	−19.2039	−	19.2039i	−1.08547	−	1.08547i	−0.995989	−	0.0894769i	$-0.971480\pi$
$313$	−19.2039	−	19.2039i	−1.08547	−	1.08547i	−0.0894769	−	0.995989i	$-0.528520\pi$
$314$	−14.5803	+	16.3044i	−0.822812	+	0.920111i
$315$	−21.2062	−	7.49806i	−1.19483	−	0.422468i
$316$	5.35678	−	0.599956i	0.301342	−	0.0337501i
$317$	−8.28473	+	8.28473i	−0.465317	+	0.465317i	−0.900393	−	0.435077i	$-0.856721\pi$
$317$	−8.28473	+	8.28473i	−0.465317	+	0.465317i	0.435077	+	0.900393i	$0.356721\pi$
$318$	0.937045	−	0.0523106i	0.0525469	−	0.00293343i
$319$	−2.55470			−0.143035
$320$	−12.5824	−	12.7154i	−0.703380	−	0.710814i
$321$	30.8133			1.71983
$322$	38.0123	−	2.12204i	2.11834	−	0.118257i
$323$	13.5842	−	13.5842i	0.755847	−	0.755847i
$324$	20.9779	−	2.34951i	1.16544	−	0.130528i
$325$	−4.97211	+	0.527410i	−0.275803	+	0.0292555i
$326$	−6.87651	+	7.68967i	−0.380855	+	0.425891i
$327$	−16.6588	−	16.6588i	−0.921235	−	0.921235i
$328$	−23.7018	+	4.00276i	−1.30871	+	0.221015i
$329$			0.675267i			0.0372287i
$330$	1.01746	−	3.48457i	0.0560094	−	0.191819i
$331$			2.91495i			0.160220i	0.996786	+	0.0801102i	$0.0255272\pi$
$331$			2.91495i			0.160220i	−0.996786	+	0.0801102i	$0.974473\pi$
$332$	10.4729	−	13.1147i	0.574774	−	0.719760i
$333$	−10.2714	−	10.2714i	−0.562869	−	0.562869i
$334$	7.28126	+	6.51129i	0.398413	+	0.356282i
$335$	7.81033	−	22.0893i	0.426724	−	1.20687i
$336$	−38.8289	+	8.80810i	−2.11829	+	0.480521i
$337$	−4.32305	+	4.32305i	−0.235492	+	0.235492i	−0.814980	−	0.579489i	$-0.803252\pi$
$337$	−4.32305	+	4.32305i	−0.235492	+	0.235492i	0.579489	+	0.814980i	$0.303252\pi$
$338$	−0.0788259	−	1.41202i	−0.00428756	−	0.0768035i
$339$	−31.0520			−1.68651
$340$	14.8677	+	3.45491i	0.806312	+	0.187369i
$341$	−1.56524			−0.0847626
$342$	−1.03553	−	18.5495i	−0.0559949	−	1.00304i
$343$	−13.9432	+	13.9432i	−0.752862	+	0.752862i
$344$	11.9767	−	16.8440i	0.645743	−	0.908168i
$345$	−29.1082	+	13.9011i	−1.56713	+	0.748408i
$346$	−16.9597	−	15.1663i	−0.911760	−	0.815344i
$347$	16.3762	+	16.3762i	0.879119	+	0.879119i	0.993443	−	0.114324i	$-0.0364703\pi$
$347$	16.3762	+	16.3762i	0.879119	+	0.879119i	−0.114324	+	0.993443i	$0.536470\pi$
$348$	−18.5517	−	14.8147i	−0.994476	−	0.794151i
$349$			24.6174i			1.31774i	0.752258	+	0.658869i	$0.228965\pi$
$349$			24.6174i			1.31774i	−0.752258	+	0.658869i	$0.771035\pi$
$350$	30.0793	−	4.89881i	1.60780	−	0.261852i
$351$		−	1.53828i		−	0.0821072i
$352$	−0.773880	−	2.70309i	−0.0412479	−	0.144075i
$353$	5.78094	+	5.78094i	0.307688	+	0.307688i	0.844012	−	0.536324i	$-0.180187\pi$
$353$	5.78094	+	5.78094i	0.307688	+	0.307688i	−0.536324	+	0.844012i	$0.680187\pi$
$354$	16.0247	−	17.9197i	0.851704	−	0.952419i
$355$	−1.24872	+	0.596344i	−0.0662751	+	0.0316506i
$356$	2.83683	+	25.3290i	0.150351	+	1.34243i
$357$	24.0228	−	24.0228i	1.27142	−	1.27142i
$358$	−20.0787	+	1.12090i	−1.06119	+	0.0592413i
$359$	−6.42788			−0.339251			−0.169625	−	0.985509i	$-0.554256\pi$
$359$	−6.42788			−0.339251			−0.169625	+	0.985509i	$0.554256\pi$
$360$	12.0749	−	8.49052i	0.636402	−	0.447489i
$361$	12.6814			0.667443
$362$	14.6963	−	0.820424i	0.772422	−	0.0431205i
$363$	−17.5605	+	17.5605i	−0.921687	+	0.921687i
$364$	0.959412	+	8.56623i	0.0502869	+	0.448993i
$365$	−12.1611	+	34.3944i	−0.636543	+	1.80029i
$366$	−14.0018	+	15.6575i	−0.731886	+	0.818432i
$367$	11.7313	+	11.7313i	0.612371	+	0.612371i	0.943563	−	0.331192i	$-0.107451\pi$
$367$	11.7313	+	11.7313i	0.612371	+	0.612371i	−0.331192	+	0.943563i	$0.607451\pi$
$368$	−13.3209	+	21.1376i	−0.694400	+	1.10187i
$369$		−	19.8350i		−	1.03257i
$370$	18.8924	+	5.51641i	0.982170	+	0.286784i
$371$			1.23841i			0.0642949i
$372$	−11.3665	−	9.07685i	−0.589325	−	0.470613i
$373$	15.7227	+	15.7227i	0.814091	+	0.814091i	0.985244	−	0.171154i	$-0.0547494\pi$
$373$	15.7227	+	15.7227i	0.814091	+	0.814091i	−0.171154	+	0.985244i	$0.554749\pi$
$374$	1.78836	+	1.59925i	0.0924741	+	0.0826953i
$375$	−21.9969	+	13.5233i	−1.13592	+	0.698339i
$376$	−0.361162	−	0.256800i	−0.0186255	−	0.0132435i
$377$	−3.63440	+	3.63440i	−0.187181	+	0.187181i
$378$	0.522602	+	9.36141i	0.0268797	+	0.481499i
$379$	−28.9807			−1.48864			−0.744319	−	0.667825i	$-0.767226\pi$
$379$	−28.9807			−1.48864			−0.744319	+	0.667825i	$0.767226\pi$
$380$	13.3085	+	21.3661i	0.682713	+	1.09606i
$381$	−0.276571			−0.0141691
$382$	0.557492	+	9.98640i	0.0285238	+	0.510948i
$383$	22.7875	−	22.7875i	1.16439	−	1.16439i	0.180882	−	0.983505i	$-0.442105\pi$
$383$	22.7875	−	22.7875i	1.16439	−	1.16439i	0.983505	−	0.180882i	$-0.0578953\pi$
$384$	10.0555	−	24.1171i	0.513141	−	1.23072i
$385$	4.51610	+	1.59680i	0.230162	+	0.0813805i
$386$	−22.8541	−	20.4374i	−1.16324	−	1.04023i
$387$	12.0594	+	12.0594i	0.613016	+	0.613016i
$388$	14.3882	−	18.0177i	0.730451	−	0.914708i
$389$			1.60674i			0.0814649i	0.999170	+	0.0407324i	$0.0129691\pi$
$389$			1.60674i			0.0814649i	−0.999170	+	0.0407324i	$0.987031\pi$
$390$	−3.50979	−	6.40475i	−0.177725	−	0.324317i
$391$		−	21.3189i		−	1.07815i
$392$	−5.45188	−	32.2825i	−0.275362	−	1.63051i
$393$	20.0673	+	20.0673i	1.01226	+	1.01226i
$394$	5.14160	−	5.74960i	0.259030	−	0.289661i
$395$	−2.59709	−	5.43819i	−0.130674	−	0.273625i
$396$	2.30571	−	0.258238i	0.115866	−	0.0129770i
$397$	−12.8728	+	12.8728i	−0.646069	+	0.646069i	−0.952041	−	0.305971i	$-0.901019\pi$
$397$	−12.8728	+	12.8728i	−0.646069	+	0.646069i	0.305971	+	0.952041i	$0.401019\pi$
$398$	4.48766	−	0.250524i	0.224946	−	0.0125576i
$399$	56.0265			2.80483
$400$	−8.81889	+	17.9507i	−0.440944	+	0.897534i
$401$	−9.91973			−0.495367			−0.247684	−	0.968841i	$-0.579669\pi$
$401$	−9.91973			−0.495367			−0.247684	+	0.968841i	$0.579669\pi$
$402$	34.1697	−	1.90753i	1.70423	−	0.0951388i
$403$	−2.22677	+	2.22677i	−0.110923	+	0.110923i
$404$	−8.30831	+	0.930524i	−0.413354	+	0.0462953i
$405$	−10.1706	−	21.2967i	−0.505379	−	1.05824i
$406$	20.8829	−	23.3523i	1.03640	−	1.15896i
$407$	2.18741	+	2.18741i	0.108426	+	0.108426i
$408$	3.71270	+	21.9842i	0.183806	+	1.08838i
$409$		−	22.7557i		−	1.12520i	−0.826730	−	0.562599i	$-0.809802\pi$
$409$		−	22.7557i		−	1.12520i	0.826730	−	0.562599i	$-0.190198\pi$
$410$	12.9152	+	23.5678i	0.637834	+	1.16393i
$411$		−	7.96269i		−	0.392770i
$412$	−6.12381	+	7.66855i	−0.301699	+	0.377802i
$413$	22.4306	+	22.4306i	1.10374	+	1.10374i
$414$	−15.3683	−	13.7431i	−0.755309	−	0.675437i
$415$	−17.6909	−	6.25513i	−0.868412	−	0.307052i
$416$	−4.94645	−	2.74456i	−0.242520	−	0.134563i
$417$	3.54616	−	3.54616i	0.173656	−	0.173656i
$418$	0.220528	+	3.95033i	0.0107864	+	0.193217i
$419$	−6.93899			−0.338992			−0.169496	−	0.985531i	$-0.554214\pi$
$419$	−6.93899			−0.338992			−0.169496	+	0.985531i	$0.554214\pi$
$420$	23.5352	+	37.7846i	1.14840	+	1.84370i
$421$	−3.45189			−0.168235			−0.0841173	−	0.996456i	$-0.526807\pi$
$421$	−3.45189			−0.168235			−0.0841173	+	0.996456i	$0.526807\pi$
$422$	−0.839222	−	15.0331i	−0.0408527	−	0.731798i
$423$	0.258574	−	0.258574i	0.0125723	−	0.0125723i
$424$	−0.662354	−	0.470960i	−0.0321668	−	0.0228718i
$425$	−1.80010	−	16.9702i	−0.0873176	−	0.823178i
$426$	−1.50672	−	1.34739i	−0.0730006	−	0.0652810i
$427$	−19.5990	−	19.5990i	−0.948463	−	0.948463i
$428$	−20.8510	−	16.6508i	−1.00787	−	0.804848i
$429$		−	1.14793i		−	0.0554227i
$430$	−22.1812	−	6.47670i	−1.06967	−	0.312334i
$431$		−	5.69174i		−	0.274161i	−0.990560	−	0.137081i	$-0.956228\pi$
$431$		−	5.69174i		−	0.274161i	0.990560	−	0.137081i	$-0.0437720\pi$
$432$	−5.20563	−	3.28058i	−0.250456	−	0.157837i
$433$	−22.4844	−	22.4844i	−1.08053	−	1.08053i	−0.996460	−	0.0840698i	$-0.973208\pi$
$433$	−22.4844	−	22.4844i	−1.08053	−	1.08053i	−0.0840698	−	0.996460i	$-0.526792\pi$
$434$	12.7948	−	14.3078i	0.614170	−	0.686796i
$435$	−8.84837	+	25.0252i	−0.424247	+	1.19986i
$436$	2.27077	+	20.2749i	0.108750	+	0.970990i
$437$	24.8602	−	24.8602i	1.18923	−	1.18923i
$438$	−53.2042	+	2.97013i	−2.54220	+	0.141918i
$439$	−18.8063			−0.897574			−0.448787	−	0.893639i	$-0.648144\pi$
$439$	−18.8063			−0.897574			−0.448787	+	0.893639i	$0.648144\pi$
$440$	−2.57149	+	1.80815i	−0.122591	+	0.0862004i
$441$	27.0159			1.28647
$442$	4.81933	−	0.269040i	0.229232	−	0.0127969i
$443$	27.8526	−	27.8526i	1.32332	−	1.32332i	0.412246	−	0.911073i	$-0.364744\pi$
$443$	27.8526	−	27.8526i	1.32332	−	1.32332i	0.911073	−	0.412246i	$-0.135256\pi$
$444$	3.19975	+	28.5694i	0.151854	+	1.35584i
$445$	25.7139	−	12.2800i	1.21896	−	0.582130i
$446$	−17.8028	+	19.9080i	−0.842988	+	0.942672i
$447$	0.656813	+	0.656813i	0.0310662	+	0.0310662i
$448$	31.0347	+	15.0219i	1.46625	+	0.709719i
$449$		−	18.0953i		−	0.853970i	−0.904259	−	0.426985i	$-0.859576\pi$
$449$		−	18.0953i		−	0.853970i	0.904259	−	0.426985i	$-0.140424\pi$
$450$	−13.3938	−	9.64211i	−0.631391	−	0.454533i
$451$			4.22410i			0.198905i
$452$	21.0125	+	16.7798i	0.988344	+	0.789255i
$453$	18.8674	+	18.8674i	0.886470	+	0.886470i
$454$	−8.51890	−	7.61805i	−0.399812	−	0.357533i
$455$	8.69642	−	4.15310i	0.407695	−	0.194700i
$456$	−21.3066	+	29.9654i	−0.997772	+	1.40326i
$457$	19.6055	−	19.6055i	0.917105	−	0.917105i	−0.0797133	−	0.996818i	$-0.525400\pi$
$457$	19.6055	−	19.6055i	0.917105	−	0.917105i	0.996818	+	0.0797133i	$0.0254005\pi$
$458$	1.02460	+	18.3537i	0.0478763	+	0.857613i
$459$	5.25028			0.245062
$460$	27.2090	+	6.32276i	1.26863	+	0.294800i
$461$	−34.9245			−1.62660			−0.813298	−	0.581848i	$-0.802330\pi$
$461$	−34.9245			−1.62660			−0.813298	+	0.581848i	$0.802330\pi$
$462$	0.389989	+	6.98590i	0.0181439	+	0.325013i
$463$	−21.6671	+	21.6671i	−1.00695	+	1.00695i	−0.00697798	+	0.999976i	$0.502221\pi$
$463$	−21.6671	+	21.6671i	−1.00695	+	1.00695i	−0.999976	+	0.00697798i	$0.997779\pi$
$464$	4.54819	+	20.0499i	0.211144	+	0.930791i
$465$	−5.42133	+	15.3327i	−0.251408	+	0.711038i
$466$	−1.31467	−	1.17565i	−0.0609010	−	0.0544609i
$467$	−1.42697	−	1.42697i	−0.0660321	−	0.0660321i	0.673320	−	0.739352i	$-0.264868\pi$
$467$	−1.42697	−	1.42697i	−0.0660321	−	0.0660321i	−0.739352	+	0.673320i	$0.764868\pi$
$468$	2.91281	−	3.64756i	0.134645	−	0.168609i
$469$			45.1590i			2.08525i
$470$	−0.138871	+	0.475600i	−0.00640563	+	0.0219378i
$471$			35.7201i			1.64590i
$472$	−20.5271	+	3.46662i	−0.944837	+	0.159564i
$473$	−2.56820	−	2.56820i	−0.118086	−	0.118086i
$474$	5.86789	−	6.56178i	0.269521	−	0.301392i
$475$	17.6901	−	21.8883i	0.811676	−	1.00430i
$476$	−29.2373	+	3.27456i	−1.34009	+	0.150089i
$477$	0.474212	−	0.474212i	0.0217127	−	0.0217127i
$478$	8.66532	−	0.483742i	0.396342	−	0.0221259i
$479$	−27.3934			−1.25163			−0.625817	−	0.779970i	$-0.715235\pi$
$479$	−27.3934			−1.25163			−0.625817	+	0.779970i	$0.715235\pi$
$480$	−29.1592	−	1.78161i	−1.33093	−	0.0813189i
$481$	6.22378			0.283780
$482$	−33.5763	+	1.87440i	−1.52936	+	0.0853765i
$483$	43.9637	−	43.9637i	2.00042	−	2.00042i
$484$	21.3723	−	2.39368i	0.971467	−	0.108804i
$485$	−24.3047	−	8.59365i	−1.10362	−	0.390217i
$486$	18.6290	−	20.8320i	0.845030	−	0.944957i
$487$	8.51241	+	8.51241i	0.385734	+	0.385734i	0.873163	−	0.487429i	$-0.162065\pi$
$487$	8.51241	+	8.51241i	0.385734	+	0.385734i	−0.487429	+	0.873163i	$0.662065\pi$
$488$	17.9358	−	3.02901i	0.811916	−	0.137117i
$489$			16.8467i			0.761835i
$490$	−32.1001	+	17.5908i	−1.45014	+	0.794673i
$491$			14.9696i			0.675570i	0.941223	+	0.337785i	$0.109678\pi$
$491$			14.9696i			0.675570i	−0.941223	+	0.337785i	$0.890322\pi$
$492$	−24.4956	+	30.6746i	−1.10435	+	1.38292i
$493$	−12.4045	−	12.4045i	−0.558672	−	0.558672i
$494$	5.93360	+	5.30614i	0.266965	+	0.238735i
$495$	−1.11786	−	2.34076i	−0.0502441	−	0.105209i
$496$	2.78664	+	12.2844i	0.125124	+	0.551585i
$497$	1.88600	−	1.88600i	0.0845989	−	0.0845989i
$498$	−1.52770	−	27.3658i	−0.0684578	−	1.22629i
$499$	15.5021			0.693969			0.346984	−	0.937871i	$-0.387206\pi$
$499$	15.5021			0.693969			0.346984	+	0.937871i	$0.387206\pi$
$500$	22.1927	+	2.73559i	0.992488	+	0.122339i
$501$	15.9520			0.712682
$502$	−1.68624	−	30.2057i	−0.0752605	−	1.34815i
$503$	−7.25339	+	7.25339i	−0.323413	+	0.323413i	−0.850075	−	0.526662i	$-0.823443\pi$
$503$	−7.25339	+	7.25339i	−0.323413	+	0.323413i	0.526662	+	0.850075i	$0.323443\pi$
$504$	−16.4871	+	23.1873i	−0.734394	+	1.03285i
$505$	4.02805	+	8.43458i	0.179246	+	0.375334i
$506$	3.27285	+	2.92676i	0.145496	+	0.130110i
$507$	−1.63309	−	1.63309i	−0.0725279	−	0.0725279i
$508$	0.187152	+	0.149453i	0.00830353	+	0.00663089i
$509$			3.62150i			0.160520i	0.996774	+	0.0802602i	$0.0255751\pi$
$509$			3.62150i			0.160520i	−0.996774	+	0.0802602i	$0.974425\pi$
$510$	21.8600	−	11.9792i	0.967976	−	0.530450i
$511$		−	70.3152i		−	3.11056i
$512$	−19.8367	+	10.8860i	−0.876668	+	0.481097i
$513$	6.12241	+	6.12241i	0.270311	+	0.270311i
$514$	−15.7049	+	17.5620i	−0.692712	+	0.774626i
$515$	10.3444	+	3.65757i	0.455829	+	0.161172i
$516$	−3.75677	−	33.5428i	−0.165382	−	1.47664i
$517$	−0.0550663	+	0.0550663i	−0.00242181	+	0.00242181i
$518$	−37.8757	+	2.11441i	−1.66416	+	0.0929020i
$519$	−37.1558			−1.63096
$520$	−1.08594	+	6.23063i	−0.0476218	+	0.273231i
$521$	35.8853			1.57216			0.786082	−	0.618123i	$-0.212107\pi$
$521$	35.8853			1.57216			0.786082	+	0.618123i	$0.212107\pi$
$522$	−16.9386	+	0.945598i	−0.741381	+	0.0413877i
$523$	−18.4185	+	18.4185i	−0.805384	+	0.805384i	−0.983931	−	0.178548i	$-0.942860\pi$
$523$	−18.4185	+	18.4185i	−0.805384	+	0.805384i	0.178548	+	0.983931i	$0.442860\pi$
$524$	−2.73538	−	24.4232i	−0.119496	−	1.06693i
$525$	31.2837	−	38.7080i	1.36533	−	1.68936i
$526$	−14.9053	+	16.6678i	−0.649900	+	0.726752i
$527$	−7.60015	−	7.60015i	−0.331068	−	0.331068i
$528$	−3.88467	−	2.44812i	−0.169059	−	0.106541i
$529$		−	16.0154i		−	0.696320i
$530$	−0.254682	+	0.872228i	−0.0110627	+	0.0378872i
$531$		−	17.1783i		−	0.745474i
$532$	−37.9124	−	30.2754i	−1.64371	−	1.31261i
$533$	6.00935	+	6.00935i	0.260294	+	0.260294i
$534$	31.0266	+	27.7457i	1.34265	+	1.20067i
$535$	−9.94504	+	28.1268i	−0.429961	+	1.21603i
$536$	−24.1530	−	17.1737i	−1.04325	−	0.741792i
$537$	−23.2224	+	23.2224i	−1.00212	+	1.00212i
$538$	−0.147420	−	2.64075i	−0.00635574	−	0.113851i
$539$	−5.75335			−0.247814
$540$	−1.55713	+	6.70085i	−0.0670081	+	0.288359i
$541$	−0.467513			−0.0200999			−0.0100500	−	0.999949i	$-0.503199\pi$
$541$	−0.467513			−0.0200999			−0.0100500	+	0.999949i	$0.503199\pi$
$542$	1.86586	+	33.4234i	0.0801457	+	1.43566i
$543$	16.9972	−	16.9972i	0.729422	−	0.729422i
$544$	9.36742	−	16.8827i	0.401625	−	0.723839i
$545$	20.5830	−	9.82971i	0.881679	−	0.421058i
$546$	10.4932	+	9.38356i	0.449067	+	0.401579i
$547$	16.7318	+	16.7318i	0.715402	+	0.715402i	0.967660	−	0.252258i	$-0.0811732\pi$
$547$	16.7318	+	16.7318i	0.715402	+	0.715402i	−0.252258	+	0.967660i	$0.581173\pi$
$548$	−4.30286	+	5.38825i	−0.183809	+	0.230175i
$549$			15.0097i			0.640600i
$550$	2.85237	+	2.05340i	0.121625	+	0.0875573i
$551$		−	28.9301i		−	1.23246i
$552$	6.79453	+	40.2328i	0.289194	+	1.71242i
$553$	8.21358	+	8.21358i	0.349277	+	0.349277i
$554$	14.9762	−	16.7472i	0.636280	−	0.711521i
$555$	29.0036	−	13.8511i	1.23114	−	0.587946i
$556$	−4.31591	+	0.483379i	−0.183035	+	0.0204998i
$557$	−26.5909	+	26.5909i	−1.12669	+	1.12669i	−0.135981	+	0.990711i	$0.543419\pi$
$557$	−26.5909	+	26.5909i	−1.12669	+	1.12669i	−0.990711	+	0.135981i	$0.956581\pi$
$558$	−10.3781	+	0.579361i	−0.439341	+	0.0245263i
$559$	−7.30721			−0.309062
$560$	4.49193	−	38.2863i	0.189819	−	1.61789i
$561$	3.91800			0.165418
$562$	−7.73986	+	0.432078i	−0.326486	+	0.0182261i
$563$	0.168647	−	0.168647i	0.00710764	−	0.00710764i	−0.703544	−	0.710652i	$-0.748400\pi$
$563$	0.168647	−	0.168647i	0.00710764	−	0.00710764i	0.710652	+	0.703544i	$0.248400\pi$
$564$	−0.719211	+	0.0805511i	−0.0302842	+	0.00339181i
$565$	10.0221	−	28.3446i	0.421631	−	1.19247i
$566$	10.5295	−	11.7746i	0.442586	−	0.494923i
$567$	32.1656	+	32.1656i	1.35083	+	1.35083i
$568$	0.291480	+	1.72595i	0.0122302	+	0.0724194i
$569$			3.52360i			0.147717i	0.997269	+	0.0738586i	$0.0235313\pi$
$569$			3.52360i			0.147717i	−0.997269	+	0.0738586i	$0.976469\pi$
$570$	39.4603	+	11.5220i	1.65281	+	0.482604i
$571$		−	29.6178i		−	1.23947i	−0.784812	−	0.619734i	$-0.787240\pi$
$571$		−	29.6178i		−	1.23947i	0.784812	−	0.619734i	$-0.212760\pi$
$572$	−0.620316	+	0.776792i	−0.0259367	+	0.0324793i
$573$	11.5499	+	11.5499i	0.482505	+	0.482505i
$574$	−38.6123	−	34.5291i	−1.61164	−	1.44122i
$575$	−3.29433	−	31.0569i	−0.137383	−	1.29516i
$576$	−6.13164	−	17.6360i	−0.255485	−	0.734835i
$577$	−6.92290	+	6.92290i	−0.288204	+	0.288204i	−0.836370	−	0.548166i	$-0.815326\pi$
$577$	−6.92290	+	6.92290i	−0.288204	+	0.288204i	0.548166	+	0.836370i	$0.315326\pi$
$578$	−0.421783	−	7.55543i	−0.0175439	−	0.314265i
$579$	−50.0694			−2.08081
$580$	19.5106	−	12.1528i	0.810134	−	0.504616i
$581$	36.1669			1.50046
$582$	−2.09884	−	37.5967i	−0.0869996	−	1.55843i
$583$	−0.100989	+	0.100989i	−0.00418253	+	0.00418253i
$584$	37.6076	+	26.7405i	1.55622	+	1.10653i
$585$	−4.92035	−	1.73973i	−0.203431	−	0.0719290i
$586$	18.2463	+	16.3168i	0.753747	+	0.674040i
$587$	18.1217	+	18.1217i	0.747961	+	0.747961i	0.974096	−	0.226135i	$-0.0726090\pi$
$587$	18.1217	+	18.1217i	0.747961	+	0.747961i	−0.226135	+	0.974096i	$0.572609\pi$
$588$	−41.7797	−	33.3637i	−1.72297	−	1.37590i
$589$		−	17.7252i		−	0.730355i
$590$	11.1853	+	20.4111i	0.460491	+	0.840313i
$591$		−	12.5964i		−	0.518145i
$592$	13.2730	−	21.0617i	0.545518	−	0.865629i
$593$	−16.4896	−	16.4896i	−0.677147	−	0.677147i	0.282206	−	0.959354i	$-0.408934\pi$
$593$	−16.4896	−	16.4896i	−0.677147	−	0.677147i	−0.959354	+	0.282206i	$0.908934\pi$
$594$	−0.720782	+	0.806015i	−0.0295740	+	0.0330712i
$595$	14.1749	+	29.6817i	0.581115	+	1.21683i
$596$	−0.0895305	−	0.799385i	−0.00366731	−	0.0327441i
$597$	5.19027	−	5.19027i	0.212423	−	0.212423i
$598$	8.81977	−	0.492365i	0.360667	−	0.0201343i
$599$	−6.82062			−0.278683			−0.139341	−	0.990244i	$-0.544499\pi$
$599$	−6.82062			−0.278683			−0.139341	+	0.990244i	$0.544499\pi$
$600$	8.80569	+	31.4523i	0.359491	+	1.28404i
$601$	3.24618			0.132415			0.0662073	−	0.997806i	$-0.478910\pi$
$601$	3.24618			0.132415			0.0662073	+	0.997806i	$0.478910\pi$
$602$	44.4690	−	2.48249i	1.81242	−	0.101179i
$603$	17.2923	−	17.2923i	0.704197	−	0.704197i
$604$	−2.57183	−	22.9629i	−0.104646	−	0.934347i
$605$	−10.3618	−	21.6971i	−0.421265	−	0.882112i
$606$	−9.10103	+	10.1772i	−0.369704	+	0.413422i
$607$	6.52615	+	6.52615i	0.264888	+	0.264888i	0.827036	−	0.562148i	$-0.190025\pi$
$607$	6.52615	+	6.52615i	0.264888	+	0.264888i	−0.562148	+	0.827036i	$0.690025\pi$
$608$	30.6105	−	8.76363i	1.24142	−	0.355412i
$609$		−	51.1609i		−	2.07314i
$610$	−9.77328	−	17.8345i	−0.395708	−	0.722097i
$611$			0.156678i			0.00633852i
$612$	12.4495	+	9.94168i	0.503240	+	0.401868i
$613$	−5.59655	−	5.59655i	−0.226042	−	0.226042i	0.584995	−	0.811037i	$-0.301097\pi$
$613$	−5.59655	−	5.59655i	−0.226042	−	0.226042i	−0.811037	+	0.584995i	$0.801097\pi$
$614$	−6.86205	−	6.13641i	−0.276930	−	0.247645i
$615$	41.3782	+	14.6305i	1.66853	+	0.589957i
$616$	3.51112	−	4.93801i	0.141467	−	0.198958i
$617$	−26.4213	+	26.4213i	−1.06368	+	1.06368i	−0.0658511	+	0.997829i	$0.520976\pi$
$617$	−26.4213	+	26.4213i	−1.06368	+	1.06368i	−0.997829	+	0.0658511i	$0.979024\pi$
$618$	0.893292	+	16.0016i	0.0359335	+	0.643680i
$619$	18.4631			0.742093			0.371046	−	0.928614i	$-0.378999\pi$
$619$	18.4631			0.742093			0.371046	+	0.928614i	$0.378999\pi$
$620$	11.9540	−	7.44590i	0.480084	−	0.299034i
$621$	9.60844			0.385573
$622$	−2.56225	−	45.8978i	−0.102737	−	1.84033i
$623$	−38.8370	+	38.8370i	−1.55597	+	1.55597i
$624$	−9.00924	+	2.04369i	−0.360658	+	0.0818132i
$625$	−5.24468	−	24.4437i	−0.209787	−	0.977747i
$626$	28.6299	+	25.6024i	1.14428	+	1.02328i
$627$	4.56881	+	4.56881i	0.182461	+	0.182461i
$628$	19.3023	−	24.1714i	0.770248	−	0.964543i
$629$			21.2423i			0.846987i
$630$	30.5345	+	8.91578i	1.21652	+	0.355213i
$631$			23.4935i			0.935263i	0.883923	+	0.467632i	$0.154893\pi$
$631$			23.4935i			0.935263i	−0.883923	+	0.467632i	$0.845107\pi$
$632$	−7.51656	+	1.26940i	−0.298993	+	0.0504940i
$633$	−17.3867	−	17.3867i	−0.691059	−	0.691059i
$634$	11.0451	−	12.3512i	0.438657	−	0.490529i
$635$	0.0892635	−	0.252457i	0.00354231	−	0.0100184i
$636$	−1.31900	+	0.147727i	−0.0523017	+	0.00585775i
$637$	−8.18491	+	8.18491i	−0.324298	+	0.324298i
$638$	3.60727	−	0.201376i	0.142813	−	0.00797256i
$639$	−1.44438			−0.0571388
$640$	18.7689	+	16.9625i	0.741906	+	0.670504i
$641$	23.5205			0.929004			0.464502	−	0.885572i	$-0.346233\pi$
$641$	23.5205			0.929004			0.464502	+	0.885572i	$0.346233\pi$
$642$	−43.5089	+	2.42889i	−1.71716	+	0.0958606i
$643$	21.3805	−	21.3805i	0.843165	−	0.843165i	−0.146104	−	0.989269i	$-0.546674\pi$
$643$	21.3805	−	21.3805i	0.843165	−	0.843165i	0.989269	+	0.146104i	$0.0466736\pi$
$644$	−53.5066	+	5.99271i	−2.10846	+	0.236146i
$645$	−34.0526	+	16.2623i	−1.34082	+	0.640327i
$646$	−18.1103	+	20.2519i	−0.712542	+	0.796801i
$647$	−20.7116	−	20.7116i	−0.814255	−	0.814255i	0.171013	−	0.985269i	$-0.445296\pi$
$647$	−20.7116	−	20.7116i	−0.814255	−	0.814255i	−0.985269	+	0.171013i	$0.945296\pi$
$648$	−29.4359	+	4.97115i	−1.15635	+	0.195285i
$649$			3.65832i			0.143601i
$650$	6.97911	−	1.13664i	0.273743	−	0.0445828i
$651$		−	31.3459i		−	1.22854i
$652$	9.10359	−	11.4000i	0.356524	−	0.446457i
$653$	18.3070	+	18.3070i	0.716410	+	0.716410i	0.967868	−	0.251458i	$-0.0809101\pi$
$653$	18.3070	+	18.3070i	0.716410	+	0.716410i	−0.251458	+	0.967868i	$0.580910\pi$
$654$	24.8356	+	22.2094i	0.971151	+	0.868455i
$655$	−24.7944	+	11.8409i	−0.968796	+	0.462662i
$656$	33.1517	−	7.52027i	1.29436	−	0.293617i
$657$	−26.9251	+	26.9251i	−1.05045	+	1.05045i
$658$	−0.0532285	−	0.953487i	−0.00207506	−	0.0371708i
$659$	−21.7960			−0.849050			−0.424525	−	0.905416i	$-0.639559\pi$
$659$	−21.7960			−0.849050			−0.424525	+	0.905416i	$0.639559\pi$
$660$	−1.16200	+	5.00047i	−0.0452307	+	0.194643i
$661$	−8.52927			−0.331750			−0.165875	−	0.986147i	$-0.553045\pi$
$661$	−8.52927			−0.331750			−0.165875	+	0.986147i	$0.553045\pi$
$662$	−0.229774	−	4.11596i	−0.00893042	−	0.159971i
$663$	5.57387	−	5.57387i	0.216471	−	0.216471i
$664$	−13.7541	+	19.3436i	−0.533762	+	0.750678i
$665$	−18.0826	+	51.1416i	−0.701213	+	1.98319i
$666$	15.3130	+	13.6937i	0.593367	+	0.530621i
$667$	−22.7013	−	22.7013i	−0.878997	−	0.878997i
$668$	−10.7945	−	8.62009i	−0.417652	−	0.333521i
$669$			43.6150i			1.68625i
$670$	−9.28709	+	31.8061i	−0.358791	+	1.22878i
$671$		−	3.19650i		−	0.123399i
$672$	54.1327	−	15.4979i	2.08821	−	0.597844i
$673$	12.3291	+	12.3291i	0.475250	+	0.475250i	0.903609	−	0.428358i	$-0.140908\pi$
$673$	12.3291	+	12.3291i	0.475250	+	0.475250i	−0.428358	+	0.903609i	$0.640908\pi$
$674$	5.76344	−	6.44498i	0.222000	−	0.248251i
$675$	7.64848	−	0.811304i	0.294390	−	0.0312271i
$676$	0.222607	+	1.98757i	0.00856180	+	0.0764451i
$677$	18.8117	−	18.8117i	0.722992	−	0.722992i	−0.246222	−	0.969213i	$-0.579189\pi$
$677$	18.8117	−	18.8117i	0.722992	−	0.722992i	0.969213	+	0.246222i	$0.0791892\pi$
$678$	43.8458	−	2.44770i	1.68389	−	0.0940033i
$679$	49.6881			1.90685
$680$	−21.2657	−	3.70643i	−0.815502	−	0.142135i
$681$	−18.6634			−0.715184
$682$	2.21015	−	0.123382i	0.0846308	−	0.00472453i
$683$	29.2411	−	29.2411i	1.11888	−	1.11888i	0.126973	−	0.991906i	$-0.459474\pi$
$683$	29.2411	−	29.2411i	1.11888	−	1.11888i	0.991906	−	0.126973i	$-0.0405262\pi$
$684$	2.92436	+	26.1105i	0.111816	+	0.998361i
$685$	7.26843	+	2.56996i	0.277712	+	0.0981933i
$686$	18.5889	−	20.7871i	0.709729	−	0.793655i
$687$	21.2273	+	21.2273i	0.809870	+	0.809870i
$688$	−15.5836	+	24.7281i	−0.594119	+	0.942748i
$689$			0.287340i			0.0109468i
$690$	40.0055	−	21.9230i	1.52298	−	0.834594i
$691$		−	21.6953i		−	0.825329i	−0.910883	−	0.412664i	$-0.864598\pi$
$691$		−	21.6953i		−	0.825329i	0.910883	−	0.412664i	$-0.135402\pi$
$692$	25.1429	+	20.0781i	0.955788	+	0.763256i
$693$	3.53536	+	3.53536i	0.134297	+	0.134297i
$694$	−24.4143	−	21.8325i	−0.926753	−	0.828752i
$695$	2.09245	+	4.38150i	0.0793711	+	0.166200i
$696$	27.3631	+	19.4562i	1.03719	+	0.737486i
$697$	−20.5104	+	20.5104i	−0.776888	+	0.776888i
$698$	−1.94049	−	34.7601i	−0.0734485	−	1.31569i
$699$	−2.88022			−0.108940
$700$	−42.0862	+	9.28822i	−1.59071	+	0.351062i
$701$	−1.18461			−0.0447420			−0.0223710	−	0.999750i	$-0.507122\pi$
$701$	−1.18461			−0.0447420			−0.0223710	+	0.999750i	$0.507122\pi$
$702$	0.121256	+	2.17207i	0.00457652	+	0.0819796i
$703$	−24.7709	+	24.7709i	−0.934251	+	0.934251i
$704$	1.30580	+	3.75580i	0.0492143	+	0.141552i
$705$	0.348689	+	0.730141i	0.0131324	+	0.0274987i
$706$	−8.61846	−	7.70709i	−0.324360	−	0.290060i
$707$	−12.7392	−	12.7392i	−0.479106	−	0.479106i
$708$	−21.2146	+	26.5660i	−0.797294	+	0.998411i
$709$		−	22.7803i		−	0.855532i	−0.903890	−	0.427766i	$-0.859301\pi$
$709$		−	22.7803i		−	0.855532i	0.903890	−	0.427766i	$-0.140699\pi$
$710$	1.71620	−	0.940477i	0.0644079	−	0.0352955i
$711$		−	6.29030i		−	0.235905i
$712$	−6.00222	−	35.5413i	−0.224943	−	1.33197i
$713$	−13.9089	−	13.9089i	−0.520892	−	0.520892i
$714$	−32.0270	+	35.8142i	−1.19858	+	1.34031i
$715$	1.04785	+	0.370496i	0.0391872	+	0.0138558i
$716$	28.2631	−	3.16545i	1.05624	−	0.118298i
$717$	10.0220	−	10.0220i	0.374278	−	0.374278i
$718$	9.07627	−	0.506684i	0.338723	−	0.0189093i
$719$	11.1110			0.414370			0.207185	−	0.978302i	$-0.433570\pi$
$719$	11.1110			0.414370			0.207185	+	0.978302i	$0.433570\pi$
$720$	−16.3807	+	12.9405i	−0.610471	+	0.482266i
$721$	−21.1479			−0.787589
$722$	−17.9063	+	0.999624i	−0.666405	+	0.0372021i
$723$	−38.8331	+	38.8331i	−1.44422	+	1.44422i
$724$	−20.6868	+	2.31690i	−0.768817	+	0.0861070i
$725$	−19.9874	−	16.1538i	−0.742314	−	0.599936i
$726$	23.4115	−	26.1799i	0.868881	−	0.971628i
$727$	11.9420	+	11.9420i	0.442904	+	0.442904i	0.892987	−	0.450083i	$-0.148606\pi$
$727$	11.9420	+	11.9420i	0.442904	+	0.442904i	−0.450083	+	0.892987i	$0.648606\pi$
$728$	−2.02995	−	12.0200i	−0.0752348	−	0.445492i
$729$		−	13.9756i		−	0.517614i
$730$	14.4605	−	49.5240i	0.535209	−	1.83297i
$731$		−	24.9402i		−	0.922445i
$732$	18.5365	−	23.2124i	0.685130	−	0.857954i
$733$	26.1775	+	26.1775i	0.966887	+	0.966887i	0.999469	−	0.0325820i	$-0.0103730\pi$
$733$	26.1775	+	26.1775i	0.966887	+	0.966887i	−0.0325820	+	0.999469i	$0.510373\pi$
$734$	−17.4896	−	15.6401i	−0.645552	−	0.577287i
$735$	−19.9271	+	56.3584i	−0.735023	+	2.07881i
$736$	17.1431	−	30.8967i	0.631904	−	1.13887i
$737$	−3.68260	+	3.68260i	−0.135650	+	0.135650i
$738$	1.56351	+	28.0073i	0.0575537	+	1.03096i
$739$	4.47304			0.164544			0.0822718	−	0.996610i	$-0.473782\pi$
$739$	4.47304			0.164544			0.0822718	+	0.996610i	$0.473782\pi$
$740$	−27.1112	−	6.30004i	−0.996628	−	0.231594i
$741$	12.9995			0.477548
$742$	−0.0976186	−	1.74865i	−0.00358369	−	0.0641950i
$743$	−33.2249	+	33.2249i	−1.21890	+	1.21890i	−0.250885	+	0.968017i	$0.580722\pi$
$743$	−33.2249	+	33.2249i	−1.21890	+	1.21890i	−0.968017	+	0.250885i	$0.919278\pi$
$744$	16.7651	+	11.9207i	0.614640	+	0.437033i
$745$	−0.811534	+	0.387560i	−0.0297323	+	0.0141991i
$746$	−23.4401	−	20.9613i	−0.858201	−	0.767449i
$747$	−13.8490	−	13.8490i	−0.506710	−	0.506710i
$748$	−2.65126	−	2.11720i	−0.0969397	−	0.0774124i
$749$		−	57.5018i		−	2.10107i
$750$	29.9940	−	20.8290i	1.09523	−	0.760568i
$751$			20.1494i			0.735264i	0.929971	+	0.367632i	$0.119831\pi$
$751$			20.1494i			0.735264i	−0.929971	+	0.367632i	$0.880169\pi$
$752$	0.530209	+	0.334137i	0.0193347	+	0.0121847i
$753$	−34.9349	−	34.9349i	−1.27310	−	1.27310i
$754$	4.84534	−	5.41831i	0.176457	−	0.197323i
$755$	−23.3119	+	11.1329i	−0.848407	+	0.405169i
$756$	−1.47584	−	13.1773i	−0.0536759	−	0.479252i
$757$	0.215715	−	0.215715i	0.00784030	−	0.00784030i	−0.703176	−	0.711016i	$-0.748235\pi$
$757$	0.215715	−	0.215715i	0.00784030	−	0.00784030i	0.711016	+	0.703176i	$0.248235\pi$
$758$	40.9211	−	2.28443i	1.48632	−	0.0829742i
$759$	7.17024			0.260263
$760$	−20.4760	−	29.1202i	−0.742744	−	1.05630i
$761$	−44.7165			−1.62097			−0.810485	−	0.585759i	$-0.800796\pi$
$761$	−44.7165			−1.62097			−0.810485	+	0.585759i	$0.800796\pi$
$762$	0.390522	−	0.0218009i	0.0141471	−	0.000789765i
$763$	−31.0876	+	31.0876i	−1.12545	+	1.12545i
$764$	−1.57437	−	14.0570i	−0.0569588	−	0.508564i
$765$	5.93786	−	16.7936i	0.214684	−	0.607173i
$766$	−30.3801	+	33.9725i	−1.09768	+	1.22748i
$767$	5.20444	+	5.20444i	0.187922	+	0.187922i
$768$	−12.2974	+	34.8463i	−0.443745	+	1.25741i
$769$			10.5286i			0.379672i	0.981816	+	0.189836i	$0.0607956\pi$
$769$			10.5286i			0.379672i	−0.981816	+	0.189836i	$0.939204\pi$
$770$	−6.50268	−	1.89872i	−0.234340	−	0.0684251i
$771$			38.4753i			1.38565i
$772$	33.8814	+	27.0564i	1.21942	+	0.973780i
$773$	−6.70573	−	6.70573i	−0.241188	−	0.241188i	0.576153	−	0.817342i	$-0.304553\pi$
$773$	−6.70573	−	6.70573i	−0.241188	−	0.241188i	−0.817342	+	0.576153i	$0.804553\pi$
$774$	−17.9787	−	16.0775i	−0.646231	−	0.577894i
$775$	−12.2461	−	9.89730i	−0.439894	−	0.355521i
$776$	−18.8961	+	26.5754i	−0.678331	+	0.954000i
$777$	−43.8057	+	43.8057i	−1.57152	+	1.57152i
$778$	−0.126653	−	2.26874i	−0.00454072	−	0.0813382i
$779$	−47.8348			−1.71386
$780$	5.46074	+	8.76694i	0.195526	+	0.313907i
$781$	0.307597			0.0110067
$782$	1.68048	+	30.1027i	0.0600940	+	1.07647i
$783$	5.59071	−	5.59071i	0.199796	−	0.199796i
$784$	10.2428	+	45.1536i	0.365816	+	1.61263i
$785$	−32.6057	−	11.5287i	−1.16375	−	0.411477i
$786$	−29.9171	−	26.7535i	−1.06711	−	0.954264i
$787$	−22.3816	−	22.3816i	−0.797818	−	0.797818i	0.184933	−	0.982751i	$-0.440793\pi$
$787$	−22.3816	−	22.3816i	−0.797818	−	0.797818i	−0.982751	+	0.184933i	$0.940793\pi$
$788$	−6.80679	+	8.52381i	−0.242482	+	0.303648i
$789$			36.5163i			1.30002i
$790$	4.09580	+	7.47409i	0.145722	+	0.265916i
$791$			57.9471i			2.06036i
$792$	−3.23535	+	0.546386i	−0.114963	+	0.0194150i
$793$	−4.54745	−	4.54745i	−0.161485	−	0.161485i
$794$	17.1619	−	19.1914i	0.609054	−	0.681076i
$795$	0.639479	+	1.33904i	0.0226800	+	0.0474910i
$796$	−6.31689	+	0.707487i	−0.223896	+	0.0250762i
$797$	−0.328478	+	0.328478i	−0.0116353	+	0.0116353i	−0.712900	−	0.701265i	$-0.752619\pi$
$797$	−0.328478	+	0.328478i	−0.0116353	+	0.0116353i	0.701265	+	0.712900i	$0.252619\pi$
$798$	−79.1102	+	4.41634i	−2.80047	+	0.156337i
$799$	−0.534757			−0.0189183
$800$	11.0374	−	26.0418i	0.390232	−	0.920717i
$801$	29.7430			1.05092
$802$	14.0068	−	0.781931i	0.494597	−	0.0276110i
$803$	5.73402	−	5.73402i	0.202349	−	0.202349i
$804$	−48.0977	+	5.38691i	−1.69628	+	0.189982i
$805$	25.9412	+	54.3198i	0.914308	+	1.91452i
$806$	2.96870	−	3.31975i	0.104568	−	0.116933i
$807$	−3.05420	−	3.05420i	−0.107513	−	0.107513i
$808$	11.6581	−	1.96882i	0.410131	−	0.0692630i
$809$		−	45.9759i		−	1.61643i	−0.588890	−	0.808213i	$-0.700435\pi$
$809$		−	45.9759i		−	1.61643i	0.588890	−	0.808213i	$-0.299565\pi$
$810$	16.0397	+	29.2696i	0.563578	+	1.02843i
$811$			32.3964i			1.13759i	0.822479	+	0.568796i	$0.192590\pi$
$811$			32.3964i			1.13759i	−0.822479	+	0.568796i	$0.807410\pi$
$812$	−27.6462	+	34.6200i	−0.970192	+	1.21492i
$813$	38.6563	+	38.6563i	1.35574	+	1.35574i
$814$	−3.26109	−	2.91624i	−0.114301	−	0.102214i
$815$	−15.3779	−	5.43730i	−0.538664	−	0.190460i
$816$	−6.97531	−	30.7494i	−0.244185	−	1.07644i
$817$	29.0830	−	29.0830i	1.01748	−	1.01748i
$818$	1.79374	+	32.1314i	0.0627166	+	1.12345i
$819$	10.0591			0.351492
$820$	−20.0942	−	32.2601i	−0.701718	−	1.12657i
$821$	21.6545			0.755748			0.377874	−	0.925857i	$-0.376655\pi$
$821$	21.6545			0.755748			0.377874	+	0.925857i	$0.376655\pi$
$822$	0.627666	+	11.2434i	0.0218924	+	0.392160i
$823$	24.0230	−	24.0230i	0.837390	−	0.837390i	−0.151124	−	0.988515i	$-0.548289\pi$
$823$	24.0230	−	24.0230i	0.837390	−	0.837390i	0.988515	+	0.151124i	$0.0482894\pi$
$824$	8.04243	−	11.3108i	0.280171	−	0.394031i
$825$	5.70764	−	0.605431i	0.198714	−	0.0210784i
$826$	−33.4405	−	29.9042i	−1.16354	−	1.04050i
$827$	14.4001	+	14.4001i	0.500740	+	0.500740i	0.911668	−	0.410928i	$-0.134795\pi$
$827$	14.4001	+	14.4001i	0.500740	+	0.500740i	−0.410928	+	0.911668i	$0.634795\pi$
$828$	22.7835	+	18.1941i	0.791782	+	0.632287i
$829$			8.72836i			0.303149i	0.988446	+	0.151574i	$0.0484343\pi$
$829$			8.72836i			0.303149i	−0.988446	+	0.151574i	$0.951566\pi$
$830$	25.4729	+	7.43783i	0.884176	+	0.258171i
$831$		−	36.6902i		−	1.27277i
$832$	7.20081	+	3.48545i	0.249643	+	0.120836i
$833$	−27.9358	−	27.9358i	−0.967919	−	0.967919i
$834$	−4.72770	+	5.28676i	−0.163707	+	0.183066i
$835$	−5.14851	+	14.5611i	−0.178172	+	0.503909i
$836$	−0.622777	−	5.56054i	−0.0215392	−	0.192315i
$837$	3.42539	−	3.42539i	0.118399	−	0.118399i
$838$	9.79795	−	0.546972i	0.338465	−	0.0188948i
$839$	−11.5417			−0.398462			−0.199231	−	0.979953i	$-0.563844\pi$
$839$	−11.5417			−0.398462			−0.199231	+	0.979953i	$0.563844\pi$
$840$	−36.2105	−	51.4972i	−1.24938	−	1.77682i
$841$	2.58233			0.0890459
$842$	4.87412	−	0.272098i	0.167973	−	0.00937712i
$843$	−8.95165	+	8.95165i	−0.308311	+	0.308311i
$844$	2.36999	+	21.1607i	0.0815784	+	0.728383i
$845$	2.01778	−	0.963620i	0.0694138	−	0.0331495i
$846$	−0.344727	+	0.385492i	−0.0118520	+	0.0132535i
$847$	32.7702	+	32.7702i	1.12600	+	1.12600i
$848$	0.972378	+	0.612792i	0.0333916	+	0.0210434i
$849$		−	25.7961i		−	0.885319i
$850$	3.87946	+	23.8203i	0.133064	+	0.817031i
$851$			38.8751i			1.33262i
$852$	2.23371	+	1.78376i	0.0765258	+	0.0611106i
$853$	37.1465	+	37.1465i	1.27187	+	1.27187i	0.945105	+	0.326767i	$0.105959\pi$
$853$	37.1465	+	37.1465i	1.27187	+	1.27187i	0.326767	+	0.945105i	$0.394041\pi$
$854$	29.2190	+	26.1292i	0.999855	+	0.894123i
$855$	26.5074	−	12.6590i	0.906533	−	0.432928i
$856$	30.7545	+	21.8676i	1.05117	+	0.747420i
$857$	−2.27770	+	2.27770i	−0.0778048	+	0.0778048i	−0.744938	−	0.667133i	$-0.767521\pi$
$857$	−2.27770	+	2.27770i	−0.0778048	+	0.0778048i	0.667133	+	0.744938i	$0.267521\pi$
$858$	0.0904868	+	1.62090i	0.00308917	+	0.0553365i
$859$	18.7926			0.641197			0.320598	−	0.947215i	$-0.396116\pi$
$859$	18.7926			0.641197			0.320598	+	0.947215i	$0.396116\pi$
$860$	31.8307	+	7.39674i	1.08542	+	0.252227i
$861$	−84.5928			−2.88291
$862$	0.448656	+	8.03682i	0.0152813	+	0.273735i
$863$	−14.2909	+	14.2909i	−0.486469	+	0.486469i	−0.907190	−	0.420721i	$-0.861777\pi$
$863$	−14.2909	+	14.2909i	−0.486469	+	0.486469i	0.420721	+	0.907190i	$0.361777\pi$
$864$	7.60902	+	4.22189i	0.258864	+	0.143632i
$865$	11.9921	−	33.9162i	0.407742	−	1.15319i
$866$	33.5206	+	29.9759i	1.13908	+	1.01862i
$867$	−8.73835	−	8.73835i	−0.296770	−	0.296770i
$868$	−16.9386	+	21.2114i	−0.574934	+	0.719961i
$869$			1.33959i			0.0454426i
$870$	10.5214	−	36.0334i	0.356709	−	1.22165i
$871$			10.4780i			0.355033i
$872$	−4.80455	−	28.4494i	−0.162703	−	0.963419i
$873$	−19.0266	−	19.0266i	−0.643953	−	0.643953i
$874$	−33.1434	+	37.0626i	−1.12109	+	1.25366i
$875$	25.2362	+	41.0492i	0.853141	+	1.38771i
$876$	74.8910	−	8.38774i	2.53033	−	0.283396i
$877$	−9.54071	+	9.54071i	−0.322167	+	0.322167i	−0.849598	−	0.527431i	$-0.823155\pi$
$877$	−9.54071	+	9.54071i	−0.322167	+	0.322167i	0.527431	+	0.849598i	$0.323155\pi$
$878$	26.5547	−	1.48242i	0.896178	−	0.0500293i
$879$	39.9744			1.34830
$880$	3.48845	−	2.75584i	0.117596	−	0.0928994i
$881$	−4.19846			−0.141450			−0.0707249	−	0.997496i	$-0.522531\pi$
$881$	−4.19846			−0.141450			−0.0707249	+	0.997496i	$0.522531\pi$
$882$	−38.1468	+	2.12955i	−1.28447	+	0.0717057i
$883$	33.5170	−	33.5170i	1.12794	−	1.12794i	0.137426	−	0.990512i	$-0.456117\pi$
$883$	33.5170	−	33.5170i	1.12794	−	1.12794i	0.990512	−	0.137426i	$-0.0438828\pi$
$884$	−6.78377	+	0.759777i	−0.228163	+	0.0255541i
$885$	35.8359	+	12.6708i	1.20461	+	0.425926i
$886$	−37.1328	+	41.5238i	−1.24750	+	1.39502i
$887$	20.2939	+	20.2939i	0.681403	+	0.681403i	0.960316	−	0.278913i	$-0.0899742\pi$
$887$	20.2939	+	20.2939i	0.681403	+	0.681403i	−0.278913	+	0.960316i	$0.589974\pi$
$888$	−6.77011	−	40.0882i	−0.227190	−	1.34527i
$889$			0.516118i			0.0173100i
$890$	−35.3404	+	19.3665i	−1.18461	+	0.649168i
$891$			5.24603i			0.175749i
$892$	23.5686	−	29.5138i	0.789134	−	0.988194i
$893$	−0.623585	−	0.623585i	−0.0208675	−	0.0208675i
$894$	−0.979204	−	0.875657i	−0.0327495	−	0.0292863i
$895$	−13.7026	−	28.6927i	−0.458027	−	0.959091i
$896$	−45.0056	−	18.7648i	−1.50353	−	0.626889i
$897$	10.2006	−	10.2006i	0.340589	−	0.340589i
$898$	1.42638	+	25.5508i	0.0475989	+	0.852642i
$899$	−16.1859			−0.539830
$900$	19.6723	+	12.5590i	0.655744	+	0.418634i
$901$	−0.980719			−0.0326725
$902$	−0.332968	−	5.96449i	−0.0110866	−	0.198596i
$903$	51.4313	−	51.4313i	1.71153	−	1.71153i
$904$	−30.9926	−	22.0370i	−1.03080	−	0.732939i
$905$	10.0294	+	21.0012i	0.333389	+	0.698102i
$906$	−28.1284	−	25.1539i	−0.934502	−	0.835681i
$907$	−0.106512	−	0.106512i	−0.00353667	−	0.00353667i	0.705336	−	0.708873i	$-0.250796\pi$
$907$	−0.106512	−	0.106512i	−0.00353667	−	0.00353667i	−0.708873	+	0.705336i	$0.750796\pi$
$908$	12.6293	+	10.0853i	0.419118	+	0.334692i
$909$			9.75618i			0.323592i
$910$	−11.9521	+	6.54974i	−0.396209	+	0.217122i
$911$		−	22.3251i		−	0.739662i	−0.929099	−	0.369831i	$-0.879416\pi$
$911$		−	22.3251i		−	0.739662i	0.929099	−	0.369831i	$-0.120584\pi$
$912$	27.7231	−	43.9911i	0.918005	−	1.45669i
$913$	2.94932	+	2.94932i	0.0976081	+	0.0976081i
$914$	−26.1378	+	29.2286i	−0.864561	+	0.966797i
$915$	−31.3121	−	11.0713i	−1.03515	−	0.366006i
$916$	−2.89350	−	25.8350i	−0.0956038	−	0.853611i
$917$	37.4482	−	37.4482i	1.23665	−	1.23665i
$918$	−7.41348	+	0.413858i	−0.244681	+	0.0136594i
$919$	47.8075			1.57703			0.788513	−	0.615019i	$-0.210851\pi$
$919$	47.8075			1.57703			0.788513	+	0.615019i	$0.210851\pi$
$920$	−38.9179	−	6.78306i	−1.28309	−	0.223631i
$921$	−15.0336			−0.495372
$922$	49.3139	−	2.75295i	1.62407	−	0.0906637i
$923$	0.437599	−	0.437599i	0.0144037	−	0.0144037i
$924$	−1.10134	−	9.83345i	−0.0362314	−	0.323497i
$925$	3.28249	+	30.9453i	0.107927	+	1.01747i
$926$	28.8863	−	32.3021i	0.949262	−	1.06151i
$927$	8.09796	+	8.09796i	0.265972	+	0.265972i
$928$	−8.00256	−	27.9522i	−0.262697	−	0.917575i
$929$			3.18424i			0.104471i	0.998635	+	0.0522357i	$0.0166347\pi$
$929$			3.18424i			0.104471i	−0.998635	+	0.0522357i	$0.983365\pi$
$930$	6.44638	−	22.0774i	0.211385	−	0.723945i
$931$		−	65.1525i		−	2.13529i
$932$	1.94901	+	1.55641i	0.0638419	+	0.0509818i
$933$	−53.0838	−	53.0838i	−1.73789	−	1.73789i
$934$	2.12738	+	1.90242i	0.0696100	+	0.0622490i
$935$	−1.26454	+	3.57639i	−0.0413548	+	0.116960i
$936$	−3.82541	+	5.38002i	−0.125037	+	0.175851i
$937$	−24.5677	+	24.5677i	−0.802591	+	0.802591i	−0.983500	−	0.180909i	$-0.942096\pi$
$937$	−24.5677	+	24.5677i	−0.802591	+	0.802591i	0.180909	+	0.983500i	$0.442096\pi$
$938$	−3.55970	−	63.7652i	−0.116228	−	2.08201i
$939$	62.7231			2.04689
$940$	0.158598	−	0.682501i	0.00517290	−	0.0222607i
$941$	−0.415679			−0.0135508			−0.00677538	−	0.999977i	$-0.502157\pi$
$941$	−0.415679			−0.0135508			−0.00677538	+	0.999977i	$0.502157\pi$
$942$	−2.81567	−	50.4374i	−0.0917395	−	1.64334i
$943$	−37.5357	+	37.5357i	−1.22233	+	1.22233i
$944$	28.7113	−	6.51299i	0.934474	−	0.211980i
$945$	−13.3775	+	6.38863i	−0.435171	+	0.207822i
$946$	3.82878	+	3.42389i	0.124484	+	0.111320i
$947$	−4.99828	−	4.99828i	−0.162422	−	0.162422i	0.621217	−	0.783639i	$-0.286639\pi$
$947$	−4.99828	−	4.99828i	−0.162422	−	0.162422i	−0.783639	+	0.621217i	$0.786639\pi$
$948$	−7.76831	+	9.72787i	−0.252303	+	0.315946i
$949$		−	16.3148i		−	0.529602i
$950$	−23.2533	+	32.3010i	−0.754436	+	1.04798i
$951$		−	27.0594i		−	0.877460i
$952$	41.0254	−	6.92839i	1.32964	−	0.224550i
$953$	30.7986	+	30.7986i	0.997664	+	0.997664i	0.999997	−	0.00233327i	$-0.000742703\pi$
$953$	30.7986	+	30.7986i	0.997664	+	0.997664i	−0.00233327	+	0.999997i	$0.500743\pi$
$954$	−0.632214	+	0.706974i	−0.0204687	+	0.0228891i
$955$	−14.2706	+	6.81514i	−0.461787	+	0.220533i
$956$	−12.1974	+	1.36610i	−0.394493	+	0.0441829i
$957$	4.17204	−	4.17204i	0.134863	−	0.134863i
$958$	38.6798	−	2.15931i	1.24969	−	0.0697640i
$959$	−14.8594			−0.479836
$960$	41.3136	+	0.217160i	1.33339	+	0.00700881i
$961$	21.0830			0.680098
$962$	−8.78807	+	0.490595i	−0.283339	+	0.0158174i
$963$	−22.0186	+	22.0186i	−0.709540	+	0.709540i
$964$	47.2624	−	5.29336i	1.52222	−	0.170488i
$965$	16.1599	−	45.7039i	0.520207	−	1.47126i
$966$	−58.6119	+	65.5428i	−1.88581	+	2.10881i
$967$	−33.8828	−	33.8828i	−1.08960	−	1.08960i	−0.995570	−	0.0940276i	$-0.970026\pi$
$967$	−33.8828	−	33.8828i	−1.08960	−	1.08960i	−0.0940276	−	0.995570i	$-0.529974\pi$
$968$	−29.9893	+	5.06460i	−0.963892	+	0.162782i
$969$			44.3684i			1.42532i
$970$	34.9961	+	10.2185i	1.12366	+	0.328097i
$971$		−	19.0484i		−	0.611293i	−0.952145	−	0.305647i	$-0.901127\pi$
$971$		−	19.0484i		−	0.611293i	0.952145	−	0.305647i	$-0.0988726\pi$
$972$	−24.6624	+	30.8835i	−0.791047	+	0.990588i
$973$	−6.61761	−	6.61761i	−0.212151	−	0.212151i
$974$	−12.6906	−	11.3487i	−0.406635	−	0.363634i
$975$	7.25857	−	8.98119i	0.232460	−	0.287628i
$976$	−25.0869	+	5.69081i	−0.803012	+	0.182158i
$977$	12.1118	−	12.1118i	0.387490	−	0.387490i	−0.486301	−	0.873791i	$-0.661654\pi$
$977$	12.1118	−	12.1118i	0.387490	−	0.387490i	0.873791	+	0.486301i	$0.161654\pi$
$978$	−1.32796	−	23.7878i	−0.0424634	−	0.760651i
$979$	−6.33412			−0.202439
$980$	43.9392	−	27.3688i	1.40359	−	0.874265i
$981$	23.8081			0.760135
$982$	−1.17999	−	21.1373i	−0.0376551	−	0.674520i
$983$	24.1809	−	24.1809i	0.771253	−	0.771253i	−0.207073	−	0.978325i	$-0.566394\pi$
$983$	24.1809	−	24.1809i	0.771253	−	0.771253i	0.978325	+	0.207073i	$0.0663938\pi$
$984$	32.1702	−	45.2439i	1.02555	−	1.44232i
$985$	11.4981	+	4.06549i	0.366360	+	0.129537i
$986$	18.4932	+	16.5376i	0.588942	+	0.526664i
$987$	−1.10277	−	1.10277i	−0.0351015	−	0.0351015i
$988$	−8.79660	−	7.02463i	−0.279857	−	0.223483i
$989$		−	45.6425i		−	1.45135i
$990$	1.76295	+	3.21707i	0.0560302	+	0.102245i
$991$			11.4017i			0.362187i	0.983466	+	0.181093i	$0.0579636\pi$
$991$			11.4017i			0.362187i	−0.983466	+	0.181093i	$0.942036\pi$
$992$	−4.90311	−	17.1261i	−0.155674	−	0.543754i
$993$	−4.76037	−	4.76037i	−0.151066	−	0.151066i
$994$	−2.51440	+	2.81173i	−0.0797519	+	0.0891827i
$995$	3.06257	+	6.41290i	0.0970900	+	0.203302i
$996$	4.31427	+	38.5205i	0.136703	+	1.22057i
$997$	−37.8036	+	37.8036i	−1.19725	+	1.19725i	−0.222265	+	0.974986i	$0.571345\pi$
$997$	−37.8036	+	37.8036i	−1.19725	+	1.19725i	−0.974986	+	0.222265i	$0.928655\pi$
$998$	−21.8892	+	1.22197i	−0.692890	+	0.0386806i
$999$	−9.57391			−0.302905

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.2	yes	72
4.3	odd	2	inner	260.2.o.a.183.17	yes	72
5.2	odd	4	inner	260.2.o.a.27.17	yes	72
20.7	even	4	inner	260.2.o.a.27.2	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.2	✓	72	20.7	even	4	inner
260.2.o.a.27.17	yes	72	5.2	odd	4	inner
260.2.o.a.183.2	yes	72	1.1	even	1	trivial
260.2.o.a.183.17	yes	72	4.3	odd	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +O(q^{10})\)	\(q+(-1.41202 + 0.0788259i) q^{2} +(-1.63309 + 1.63309i) q^{3} +(1.98757 - 0.222607i) q^{4} +(-0.963620 - 2.01778i) q^{5} +(2.17721 - 2.43467i) q^{6} +(3.04756 + 3.04756i) q^{7} +(-2.78894 + 0.470996i) q^{8} -2.33394i q^{9} +(1.51970 + 2.77318i) q^{10} +0.497041i q^{11} +(-2.88234 + 3.60941i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-4.54342 - 4.06297i) q^{14} +(4.86888 + 1.72154i) q^{15} +(3.90089 - 0.884894i) q^{16} +(-2.41342 + 2.41342i) q^{17} +(0.183975 + 3.29556i) q^{18} -5.62862 q^{19} +(-2.36444 - 3.79598i) q^{20} -9.95385 q^{21} +(-0.0391797 - 0.701829i) q^{22} +(-4.41675 + 4.41675i) q^{23} +(3.78540 - 5.32375i) q^{24} +(-3.14287 + 3.88875i) q^{25} +(-1.05418 - 0.942707i) q^{26} +(-1.08773 - 1.08773i) q^{27} +(6.73565 + 5.37884i) q^{28} +5.13981i q^{29} +(-7.01064 - 2.04704i) q^{30} +3.14912i q^{31} +(-5.43837 + 1.55698i) q^{32} +(-0.811710 - 0.811710i) q^{33} +(3.21754 - 3.59802i) q^{34} +(3.21261 - 9.08599i) q^{35} +(-0.519552 - 4.63888i) q^{36} +(4.40088 - 4.40088i) q^{37} +(7.94770 - 0.443681i) q^{38} -2.30953 q^{39} +(3.63784 + 5.17360i) q^{40} +8.49850 q^{41} +(14.0550 - 0.784621i) q^{42} +(-5.16698 + 5.16698i) q^{43} +(0.110645 + 0.987905i) q^{44} +(-4.70939 + 2.24903i) q^{45} +(5.88836 - 6.58467i) q^{46} +(0.110788 + 0.110788i) q^{47} +(-4.92539 + 7.81560i) q^{48} +11.5752i q^{49} +(4.13125 - 5.73871i) q^{50} -7.88265i q^{51} +(1.56283 + 1.24802i) q^{52} +(0.203180 + 0.203180i) q^{53} +(1.62163 + 1.45015i) q^{54} +(1.00292 - 0.478958i) q^{55} +(-9.93483 - 7.06405i) q^{56} +(9.19203 - 9.19203i) q^{57} +(-0.405150 - 7.25749i) q^{58} +7.36019 q^{59} +(10.0605 + 2.33783i) q^{60} -6.43106 q^{61} +(-0.248232 - 4.44661i) q^{62} +(7.11283 - 7.11283i) q^{63} +(7.55632 - 2.62716i) q^{64} +(0.745404 - 2.10817i) q^{65} +(1.21013 + 1.08216i) q^{66} +(7.40905 + 7.40905i) q^{67} +(-4.25960 + 5.33409i) q^{68} -14.4259i q^{69} +(-3.82005 + 13.0828i) q^{70} -0.618858i q^{71} +(1.09928 + 6.50922i) q^{72} +(-11.5363 - 11.5363i) q^{73} +(-5.86720 + 6.56101i) q^{74} +(-1.21807 - 11.4832i) q^{75} +(-11.1873 + 1.25297i) q^{76} +(-1.51476 + 1.51476i) q^{77} +(3.26110 - 0.182051i) q^{78} +2.69514 q^{79} +(-5.54450 - 7.01844i) q^{80} +10.5545 q^{81} +(-12.0000 + 0.669902i) q^{82} +(5.93375 - 5.93375i) q^{83} +(-19.7840 + 2.21579i) q^{84} +(7.19537 + 2.54413i) q^{85} +(6.88856 - 7.70314i) q^{86} +(-8.39376 - 8.39376i) q^{87} +(-0.234104 - 1.38621i) q^{88} +12.7437i q^{89} +(6.47244 - 3.54689i) q^{90} +4.30990i q^{91} +(-7.79541 + 9.76181i) q^{92} +(-5.14279 - 5.14279i) q^{93} +(-0.165168 - 0.147702i) q^{94} +(5.42385 + 11.3573i) q^{95} +(6.33865 - 11.4240i) q^{96} +(8.15212 - 8.15212i) q^{97} +(-0.912426 - 16.3444i) q^{98} +1.16007 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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