LMFDB - Embedded newform 760.2.w.d.267.40

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [760,2,Mod(267,760)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(760, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 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("760.267");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 760 = 2^{3} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	760.w (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:	$6.06863055362$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$54$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			267.40
Character	$\chi$	$=$	760.267
Dual form			760.2.w.d.723.40

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.922945 - 1.07153i) q^{2} +(0.0817665 - 0.0817665i) q^{3} +(-0.296346 - 1.97792i) q^{4} +(-1.80920 + 1.31408i) q^{5} +(-0.0121492 - 0.163081i) q^{6} +(-1.71397 + 1.71397i) q^{7} +(-2.39291 - 1.50797i) q^{8} +2.98663i q^{9} +O(q^{10})$	\(q+(0.922945 - 1.07153i) q^{2} +(0.0817665 - 0.0817665i) q^{3} +(-0.296346 - 1.97792i) q^{4} +(-1.80920 + 1.31408i) q^{5} +(-0.0121492 - 0.163081i) q^{6} +(-1.71397 + 1.71397i) q^{7} +(-2.39291 - 1.50797i) q^{8} +2.98663i q^{9} +(-0.261716 + 3.15143i) q^{10} +1.68163 q^{11} +(-0.185959 - 0.137497i) q^{12} +(1.43476 + 1.43476i) q^{13} +(0.254668 + 3.41847i) q^{14} +(-0.0404841 + 0.255379i) q^{15} +(-3.82436 + 1.17230i) q^{16} +(4.55456 + 4.55456i) q^{17} +(3.20026 + 2.75649i) q^{18} +1.00000i q^{19} +(3.13530 + 3.18903i) q^{20} +0.280291i q^{21} +(1.55205 - 1.80192i) q^{22} +(0.291416 + 0.291416i) q^{23} +(-0.318961 + 0.0723585i) q^{24} +(1.54639 - 4.75486i) q^{25} +(2.86160 - 0.213182i) q^{26} +(0.489506 + 0.489506i) q^{27} +(3.89803 + 2.88218i) q^{28} +0.499068 q^{29} +(0.236282 + 0.279081i) q^{30} +2.05973i q^{31} +(-2.27352 + 5.17988i) q^{32} +(0.137501 - 0.137501i) q^{33} +(9.08395 - 0.676733i) q^{34} +(0.848619 - 5.35321i) q^{35} +(5.90732 - 0.885075i) q^{36} +(-4.25853 + 4.25853i) q^{37} +(1.07153 + 0.922945i) q^{38} +0.234631 q^{39} +(6.31084 - 0.416259i) q^{40} -5.19926 q^{41} +(0.300340 + 0.258693i) q^{42} +(2.30445 - 2.30445i) q^{43} +(-0.498345 - 3.32614i) q^{44} +(-3.92467 - 5.40340i) q^{45} +(0.581222 - 0.0432997i) q^{46} +(-8.59240 + 8.59240i) q^{47} +(-0.216850 + 0.408559i) q^{48} +1.12460i q^{49} +(-3.66773 - 6.04547i) q^{50} +0.744821 q^{51} +(2.41267 - 3.26304i) q^{52} +(2.04150 + 2.04150i) q^{53} +(0.976306 - 0.0727325i) q^{54} +(-3.04240 + 2.20980i) q^{55} +(6.68600 - 1.51676i) q^{56} +(0.0817665 + 0.0817665i) q^{57} +(0.460613 - 0.534766i) q^{58} -5.44632i q^{59} +(0.517118 + 0.00439373i) q^{60} -6.54656i q^{61} +(2.20706 + 1.90102i) q^{62} +(-5.11900 - 5.11900i) q^{63} +(3.45205 + 7.21688i) q^{64} +(-4.48117 - 0.710378i) q^{65} +(-0.0204304 - 0.274242i) q^{66} +(2.56407 + 2.56407i) q^{67} +(7.65884 - 10.3583i) q^{68} +0.0476562 q^{69} +(-4.95289 - 5.85004i) q^{70} -8.51554i q^{71} +(4.50375 - 7.14674i) q^{72} +(-8.77306 + 8.77306i) q^{73} +(0.632748 + 8.49352i) q^{74} +(-0.262345 - 0.515231i) q^{75} +(1.97792 - 0.296346i) q^{76} +(-2.88227 + 2.88227i) q^{77} +(0.216552 - 0.251414i) q^{78} -0.712885 q^{79} +(5.37853 - 7.14643i) q^{80} -8.87984 q^{81} +(-4.79863 + 5.57116i) q^{82} +(12.4110 - 12.4110i) q^{83} +(0.554394 - 0.0830631i) q^{84} +(-14.2251 - 2.25505i) q^{85} +(-0.342403 - 4.59615i) q^{86} +(0.0408071 - 0.0408071i) q^{87} +(-4.02399 - 2.53585i) q^{88} +11.2344i q^{89} +(-9.41215 - 0.781649i) q^{90} -4.91829 q^{91} +(0.490039 - 0.662759i) q^{92} +(0.168417 + 0.168417i) q^{93} +(1.27669 + 17.1373i) q^{94} +(-1.31408 - 1.80920i) q^{95} +(0.237642 + 0.609438i) q^{96} +(9.74041 + 9.74041i) q^{97} +(1.20504 + 1.03794i) q^{98} +5.02241i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q + 8 q^{6}+O(q^{10}) $ 108 * q + 8 * q^6	$ 108 q + 8 q^{6} + 8 q^{10} + 18 q^{12} + 16 q^{16} + 4 q^{17} - 36 q^{22} - 4 q^{25} - 40 q^{26} + 16 q^{28} - 12 q^{30} - 10 q^{32} + 24 q^{35} - 80 q^{36} + 28 q^{40} + 108 q^{42} - 32 q^{43} + 64 q^{46} - 26 q^{48} - 28 q^{50} + 34 q^{52} - 12 q^{56} - 58 q^{60} - 92 q^{62} - 4 q^{65} - 92 q^{66} + 40 q^{68} + 28 q^{70} - 68 q^{72} - 20 q^{73} + 12 q^{78} + 56 q^{80} - 92 q^{81} + 44 q^{82} + 72 q^{83} + 40 q^{86} - 40 q^{88} + 4 q^{90} + 32 q^{91} + 24 q^{92} + 124 q^{96} - 84 q^{97} + 76 q^{98}+O(q^{100}) $ 108 * q + 8 * q^6 + 8 * q^10 + 18 * q^12 + 16 * q^16 + 4 * q^17 - 36 * q^22 - 4 * q^25 - 40 * q^26 + 16 * q^28 - 12 * q^30 - 10 * q^32 + 24 * q^35 - 80 * q^36 + 28 * q^40 + 108 * q^42 - 32 * q^43 + 64 * q^46 - 26 * q^48 - 28 * q^50 + 34 * q^52 - 12 * q^56 - 58 * q^60 - 92 * q^62 - 4 * q^65 - 92 * q^66 + 40 * q^68 + 28 * q^70 - 68 * q^72 - 20 * q^73 + 12 * q^78 + 56 * q^80 - 92 * q^81 + 44 * q^82 + 72 * q^83 + 40 * q^86 - 40 * q^88 + 4 * q^90 + 32 * q^91 + 24 * q^92 + 124 * q^96 - 84 * q^97 + 76 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/760\mathbb{Z}\right)^\times$.

$n$	$191$	$381$	$401$	$457$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.922945	−	1.07153i	0.652620	−	0.757685i
$2$	0.922945	−	1.07153i	0.652620	−	0.757685i
$3$	0.0817665	−	0.0817665i	0.0472079	−	0.0472079i	−0.683109	−	0.730317i	$-0.739373\pi$
$3$	0.0817665	−	0.0817665i	0.0472079	−	0.0472079i	0.730317	+	0.683109i	$0.239373\pi$
$4$	−0.296346	−	1.97792i	−0.148173	−	0.988961i
$5$	−1.80920	+	1.31408i	−0.809098	+	0.587674i
$5$	−1.80920	+	1.31408i	−0.809098	+	0.587674i
$6$	−0.0121492	−	0.163081i	−0.00495987	−	0.0665776i
$7$	−1.71397	+	1.71397i	−0.647821	+	0.647821i	−0.952466	−	0.304645i	$-0.901462\pi$
$7$	−1.71397	+	1.71397i	−0.647821	+	0.647821i	0.304645	+	0.952466i	$0.401462\pi$
$8$	−2.39291	−	1.50797i	−0.846022	−	0.533148i
$9$			2.98663i			0.995543i
$10$	−0.261716	+	3.15143i	−0.0827619	+	0.996569i
$11$	1.68163			0.507031			0.253515	−	0.967331i	$-0.418413\pi$
$11$	1.68163			0.507031			0.253515	+	0.967331i	$0.418413\pi$
$12$	−0.185959	−	0.137497i	−0.0536817	−	0.0396919i
$13$	1.43476	+	1.43476i	0.397932	+	0.397932i	0.877503	−	0.479571i	$-0.159208\pi$
$13$	1.43476	+	1.43476i	0.397932	+	0.397932i	−0.479571	+	0.877503i	$0.659208\pi$
$14$	0.254668	+	3.41847i	0.0680629	+	0.913625i
$15$	−0.0404841	+	0.255379i	−0.0104529	+	0.0659387i
$16$	−3.82436	+	1.17230i	−0.956090	+	0.293075i
$17$	4.55456	+	4.55456i	1.10464	+	1.10464i	0.993843	+	0.110800i	$0.0353413\pi$
$17$	4.55456	+	4.55456i	1.10464	+	1.10464i	0.110800	+	0.993843i	$0.464659\pi$
$18$	3.20026	+	2.75649i	0.754308	+	0.649712i
$19$			1.00000i			0.229416i
$19$			1.00000i			0.229416i
$20$	3.13530	+	3.18903i	0.701073	+	0.713089i
$21$			0.280291i			0.0611645i
$22$	1.55205	−	1.80192i	0.330899	−	0.384170i
$23$	0.291416	+	0.291416i	0.0607645	+	0.0607645i	0.736836	−	0.676071i	$-0.236319\pi$
$23$	0.291416	+	0.291416i	0.0607645	+	0.0607645i	−0.676071	+	0.736836i	$0.736319\pi$
$24$	−0.318961	+	0.0723585i	−0.0651077	+	0.0147701i
$25$	1.54639	−	4.75486i	0.309278	−	0.950972i
$26$	2.86160	−	0.213182i	0.561206	−	0.0418085i
$27$	0.489506	+	0.489506i	0.0942054	+	0.0942054i
$28$	3.89803	+	2.88218i	0.736659	+	0.544680i
$29$	0.499068			0.0926747			0.0463373	−	0.998926i	$-0.485245\pi$
$29$	0.499068			0.0926747			0.0463373	+	0.998926i	$0.485245\pi$
$30$	0.236282	+	0.279081i	0.0431389	+	0.0509530i
$31$			2.05973i			0.369938i	0.982744	+	0.184969i	$0.0592185\pi$
$31$			2.05973i			0.369938i	−0.982744	+	0.184969i	$0.940781\pi$
$32$	−2.27352	+	5.17988i	−0.401905	+	0.915681i
$33$	0.137501	−	0.137501i	0.0239359	−	0.0239359i
$34$	9.08395	−	0.676733i	1.55788	−	0.116059i
$35$	0.848619	−	5.35321i	0.143443	−	0.904858i
$36$	5.90732	−	0.885075i	0.984553	−	0.147513i
$37$	−4.25853	+	4.25853i	−0.700098	+	0.700098i	−0.964431	−	0.264333i	$-0.914848\pi$
$37$	−4.25853	+	4.25853i	−0.700098	+	0.700098i	0.264333	+	0.964431i	$0.414848\pi$
$38$	1.07153	+	0.922945i	0.173825	+	0.149721i
$39$	0.234631			0.0375711
$40$	6.31084	−	0.416259i	0.997832	−	0.0658163i
$41$	−5.19926			−0.811989			−0.405994	−	0.913876i	$-0.633075\pi$
$41$	−5.19926			−0.811989			−0.405994	+	0.913876i	$0.633075\pi$
$42$	0.300340	+	0.258693i	0.0463434	+	0.0399172i
$43$	2.30445	−	2.30445i	0.351425	−	0.351425i	−0.509215	−	0.860639i	$-0.670064\pi$
$43$	2.30445	−	2.30445i	0.351425	−	0.351425i	0.860639	+	0.509215i	$0.170064\pi$
$44$	−0.498345	−	3.32614i	−0.0751283	−	0.501434i
$45$	−3.92467	−	5.40340i	−0.585055	−	0.805491i
$46$	0.581222	−	0.0432997i	0.0856966	−	0.00638419i
$47$	−8.59240	+	8.59240i	−1.25333	+	1.25333i	−0.299113	+	0.954218i	$0.596691\pi$
$47$	−8.59240	+	8.59240i	−1.25333	+	1.25333i	−0.954218	+	0.299113i	$0.903309\pi$
$48$	−0.216850	+	0.408559i	−0.0312995	+	0.0589704i
$49$			1.12460i			0.160656i
$50$	−3.66773	−	6.04547i	−0.518696	−	0.854959i
$51$	0.744821			0.104296
$52$	2.41267	−	3.26304i	0.334577	−	0.452502i
$53$	2.04150	+	2.04150i	0.280421	+	0.280421i	0.833277	−	0.552856i	$-0.186462\pi$
$53$	2.04150	+	2.04150i	0.280421	+	0.280421i	−0.552856	+	0.833277i	$0.686462\pi$
$54$	0.976306	−	0.0727325i	0.132858	−	0.00989764i
$55$	−3.04240	+	2.20980i	−0.410237	+	0.297969i
$56$	6.68600	−	1.51676i	0.893455	−	0.202686i
$57$	0.0817665	+	0.0817665i	0.0108302	+	0.0108302i
$58$	0.460613	−	0.534766i	0.0604814	−	0.0702182i
$59$		−	5.44632i		−	0.709051i	−0.935046	−	0.354525i	$-0.884642\pi$
$59$		−	5.44632i		−	0.709051i	0.935046	−	0.354525i	$-0.115358\pi$
$60$	0.517118	+	0.00439373i	0.0667596	+	0.000567228i
$61$		−	6.54656i		−	0.838201i	−0.907940	−	0.419101i	$-0.862345\pi$
$61$		−	6.54656i		−	0.838201i	0.907940	−	0.419101i	$-0.137655\pi$
$62$	2.20706	+	1.90102i	0.280297	+	0.241429i
$63$	−5.11900	−	5.11900i	−0.644933	−	0.644933i
$64$	3.45205	+	7.21688i	0.431506	+	0.902110i
$65$	−4.48117	−	0.710378i	−0.555820	−	0.0881115i
$66$	−0.0204304	−	0.274242i	−0.00251481	−	0.0337569i
$67$	2.56407	+	2.56407i	0.313252	+	0.313252i	0.846168	−	0.532916i	$-0.178904\pi$
$67$	2.56407	+	2.56407i	0.313252	+	0.313252i	−0.532916	+	0.846168i	$0.678904\pi$
$68$	7.65884	−	10.3583i	0.928771	−	1.25613i
$69$	0.0476562			0.00573713
$70$	−4.95289	−	5.85004i	−0.591983	−	0.699213i
$71$		−	8.51554i		−	1.01061i	−0.862941	−	0.505304i	$-0.831380\pi$
$71$		−	8.51554i		−	1.01061i	0.862941	−	0.505304i	$-0.168620\pi$
$72$	4.50375	−	7.14674i	0.530772	−	0.842251i
$73$	−8.77306	+	8.77306i	−1.02681	+	1.02681i	−0.0271788	+	0.999631i	$0.508652\pi$
$73$	−8.77306	+	8.77306i	−1.02681	+	1.02681i	−0.999631	+	0.0271788i	$0.991348\pi$
$74$	0.632748	+	8.49352i	0.0735554	+	0.987352i
$75$	−0.262345	−	0.515231i	−0.0302930	−	0.0594937i
$76$	1.97792	−	0.296346i	0.226883	−	0.0339932i
$77$	−2.88227	+	2.88227i	−0.328465	+	0.328465i
$78$	0.216552	−	0.251414i	0.0245196	−	0.0284670i
$79$	−0.712885			−0.0802058			−0.0401029	−	0.999196i	$-0.512769\pi$
$79$	−0.712885			−0.0802058			−0.0401029	+	0.999196i	$0.512769\pi$
$80$	5.37853	−	7.14643i	0.601337	−	0.798995i
$81$	−8.87984			−0.986648
$82$	−4.79863	+	5.57116i	−0.529920	+	0.615232i
$83$	12.4110	−	12.4110i	1.36228	−	1.36228i	0.491276	−	0.871004i	$-0.336531\pi$
$83$	12.4110	−	12.4110i	1.36228	−	1.36228i	0.871004	−	0.491276i	$-0.163469\pi$
$84$	0.554394	−	0.0830631i	0.0604894	−	0.00906293i
$85$	−14.2251	−	2.25505i	−1.54293	−	0.244594i
$86$	−0.342403	−	4.59615i	−0.0369222	−	0.495616i
$87$	0.0408071	−	0.0408071i	0.00437498	−	0.00437498i
$88$	−4.02399	−	2.53585i	−0.428959	−	0.270322i
$89$			11.2344i			1.19085i	0.803411	+	0.595424i	$0.203016\pi$
$89$			11.2344i			1.19085i	−0.803411	+	0.595424i	$0.796984\pi$
$90$	−9.41215	−	0.781649i	−0.992127	−	0.0823930i
$91$	−4.91829			−0.515577
$92$	0.490039	−	0.662759i	0.0510901	−	0.0690974i
$93$	0.168417	+	0.168417i	0.0174640	+	0.0174640i
$94$	1.27669	+	17.1373i	0.131681	+	1.76758i
$95$	−1.31408	−	1.80920i	−0.134822	−	0.185620i
$96$	0.237642	+	0.609438i	0.0242543	+	0.0622005i
$97$	9.74041	+	9.74041i	0.988989	+	0.988989i	0.999940	−	0.0109510i	$-0.00348589\pi$
$97$	9.74041	+	9.74041i	0.988989	+	0.988989i	−0.0109510	+	0.999940i	$0.503486\pi$
$98$	1.20504	+	1.03794i	0.121727	+	0.104848i
$99$			5.02241i			0.504771i
$100$	−9.86301	−	1.64956i	−0.986301	−	0.164956i
$101$		−	1.46784i		−	0.146056i	−0.997330	−	0.0730280i	$-0.976734\pi$
$101$		−	1.46784i		−	0.146056i	0.997330	−	0.0730280i	$-0.0232662\pi$
$102$	0.687428	−	0.798096i	0.0680655	−	0.0790233i
$103$	8.41368	+	8.41368i	0.829024	+	0.829024i	0.987382	−	0.158357i	$-0.0506198\pi$
$103$	8.41368	+	8.41368i	0.829024	+	0.829024i	−0.158357	+	0.987382i	$0.550620\pi$
$104$	−1.26968	−	5.59685i	−0.124503	−	0.548816i
$105$	−0.368325	−	0.507102i	−0.0359448	−	0.0494881i
$106$	4.07171	−	0.303333i	0.395479	−	0.0294623i
$107$	−9.42506	−	9.42506i	−0.911155	−	0.911155i	0.0852081	−	0.996363i	$-0.472844\pi$
$107$	−9.42506	−	9.42506i	−0.911155	−	0.911155i	−0.996363	+	0.0852081i	$0.972844\pi$
$108$	0.823141	−	1.11327i	0.0792068	−	0.107124i
$109$	11.3511			1.08724			0.543618	−	0.839333i	$-0.317054\pi$
$109$	11.3511			1.08724			0.543618	+	0.839333i	$0.317054\pi$
$110$	−0.440110	+	5.29954i	−0.0419628	+	0.505291i
$111$			0.696410i			0.0661003i
$112$	4.54556	−	8.56413i	0.429515	−	0.809235i
$113$	11.3207	−	11.3207i	1.06497	−	1.06497i	0.0672281	−	0.997738i	$-0.478584\pi$
$113$	11.3207	−	11.3207i	1.06497	−	1.06497i	0.997738	−	0.0672281i	$-0.0214155\pi$
$114$	0.163081	−	0.0121492i	0.0152739	−	0.00113787i
$115$	−0.910174	−	0.144286i	−0.0848742	−	0.0134547i
$116$	−0.147897	−	0.987119i	−0.0137319	−	0.0916517i
$117$	−4.28511	+	4.28511i	−0.396158	+	0.396158i
$118$	−5.83589	−	5.02665i	−0.537237	−	0.462741i
$119$	−15.6128			−1.43122
$120$	0.481979	−	0.550051i	0.0439985	−	0.0502126i
$121$	−8.17212			−0.742920
$122$	−7.01483	−	6.04212i	−0.635093	−	0.547027i
$123$	−0.425126	+	0.425126i	−0.0383323	+	0.0383323i
$124$	4.07399	−	0.610393i	0.365855	−	0.0548149i
$125$	3.45053	+	10.6346i	0.308625	+	0.951184i
$126$	−10.2097	+	0.760599i	−0.909553	+	0.0677596i
$127$	7.06753	−	7.06753i	0.627142	−	0.627142i	−0.320206	−	0.947348i	$-0.603752\pi$
$127$	7.06753	−	7.06753i	0.627142	−	0.627142i	0.947348	+	0.320206i	$0.103752\pi$
$128$	10.9191	+	2.96181i	0.965125	+	0.261790i
$129$		−	0.376853i		−	0.0331800i
$130$	−4.89706	+	4.14606i	−0.429500	+	0.363633i
$131$	9.57540			0.836607			0.418303	−	0.908307i	$-0.362625\pi$
$131$	9.57540			0.836607			0.418303	+	0.908307i	$0.362625\pi$
$132$	−0.312714	−	0.231219i	−0.0272183	−	0.0201250i
$133$	−1.71397	−	1.71397i	−0.148620	−	0.148620i
$134$	5.11398	−	0.380979i	0.441780	−	0.0329116i
$135$	−1.52886	−	0.242363i	−0.131583	−	0.0208593i
$136$	−4.03052	−	17.7668i	−0.345614	−	1.52349i
$137$	4.06617	+	4.06617i	0.347397	+	0.347397i	0.859139	−	0.511742i	$-0.171000\pi$
$137$	4.06617	+	4.06617i	0.347397	+	0.347397i	−0.511742	+	0.859139i	$0.671000\pi$
$138$	0.0439840	−	0.0510650i	0.00374417	−	0.00434694i
$139$		−	12.6520i		−	1.07313i	−0.843860	−	0.536564i	$-0.819722\pi$
$139$		−	12.6520i		−	1.07313i	0.843860	−	0.536564i	$-0.180278\pi$
$140$	−10.8397	−	0.0921004i	−0.916124	−	0.00778391i
$141$			1.40514i			0.118334i
$142$	−9.12464	−	7.85937i	−0.765723	−	0.659544i
$143$	2.41274	+	2.41274i	0.201764	+	0.201764i
$144$	−3.50122	−	11.4219i	−0.291768	−	0.951828i
$145$	−0.902913	+	0.655816i	−0.0749829	+	0.0544625i
$146$	1.30353	+	17.4976i	0.107881	+	1.44811i
$147$	0.0919542	+	0.0919542i	0.00758426	+	0.00758426i
$148$	9.68504	+	7.16105i	0.796106	+	0.588634i
$149$	−6.93839			−0.568415			−0.284207	−	0.958763i	$-0.591730\pi$
$149$	−6.93839			−0.568415			−0.284207	+	0.958763i	$0.591730\pi$
$150$	−0.794215	−	0.194420i	−0.0648473	−	0.0158743i
$151$			4.74419i			0.386076i	0.981191	+	0.193038i	$0.0618341\pi$
$151$			4.74419i			0.386076i	−0.981191	+	0.193038i	$0.938166\pi$
$152$	1.50797	−	2.39291i	0.122313	−	0.194091i
$153$	−13.6028	+	13.6028i	−1.09972	+	1.09972i
$154$	0.428258	+	5.74861i	0.0345100	+	0.463236i
$155$	−2.70665	−	3.72646i	−0.217403	−	0.299316i
$156$	−0.0695320	−	0.464082i	−0.00556702	−	0.0371563i
$157$	−7.78145	+	7.78145i	−0.621027	+	0.621027i	−0.945794	−	0.324767i	$-0.894714\pi$
$157$	−7.78145	+	7.78145i	−0.621027	+	0.621027i	0.324767	+	0.945794i	$0.394714\pi$
$158$	−0.657953	+	0.763876i	−0.0523439	+	0.0607707i
$159$	0.333852			0.0264762
$160$	−2.69352	−	12.3590i	−0.212942	−	0.977065i
$161$	−0.998960			−0.0787291
$162$	−8.19560	+	9.51500i	−0.643907	+	0.747569i
$163$	−4.91686	+	4.91686i	−0.385118	+	0.385118i	−0.872942	−	0.487824i	$-0.837791\pi$
$163$	−4.91686	+	4.91686i	−0.385118	+	0.385118i	0.487824	+	0.872942i	$0.337791\pi$
$164$	1.54078	+	10.2837i	0.120315	+	0.803025i
$165$	−0.0680793	+	0.429454i	−0.00529996	+	0.0334329i
$166$	−1.84407	−	24.7533i	−0.143127	−	1.92123i
$167$	14.3698	−	14.3698i	1.11197	−	1.11197i	0.119088	−	0.992884i	$-0.462003\pi$
$167$	14.3698	−	14.3698i	1.11197	−	1.11197i	0.992884	−	0.119088i	$-0.0379970\pi$
$168$	0.422671	−	0.670712i	0.0326097	−	0.0517465i
$169$		−	8.88290i		−	0.683300i
$170$	−15.5454	+	13.1614i	−1.19228	+	1.00943i
$171$	−2.98663			−0.228393
$172$	−5.24093	−	3.87510i	−0.399617	−	0.295474i
$173$	1.79071	+	1.79071i	0.136145	+	0.136145i	0.771895	−	0.635750i	$-0.219309\pi$
$173$	1.79071	+	1.79071i	0.136145	+	0.136145i	−0.635750	+	0.771895i	$0.719309\pi$
$174$	−0.00606326	−	0.0813886i	−0.000459655	−	0.00617005i
$175$	5.49922	+	10.8002i	0.415702	+	0.816416i
$176$	−6.43116	+	1.97137i	−0.484767	+	0.148598i
$177$	−0.445326	−	0.445326i	−0.0334728	−	0.0334728i
$178$	12.0380	+	10.3688i	0.902288	+	0.777172i
$179$		−	10.4499i		−	0.781061i	−0.920590	−	0.390530i	$-0.872292\pi$
$179$		−	10.4499i		−	0.781061i	0.920590	−	0.390530i	$-0.127708\pi$
$180$	−9.52445	+	9.36396i	−0.709911	+	0.697949i
$181$		−	18.8451i		−	1.40074i	−0.713778	−	0.700372i	$-0.753017\pi$
$181$		−	18.8451i		−	1.40074i	0.713778	−	0.700372i	$-0.246983\pi$
$182$	−4.53931	+	5.27009i	−0.336476	+	0.390645i
$183$	−0.535289	−	0.535289i	−0.0395697	−	0.0395697i
$184$	−0.257886	−	1.13678i	−0.0190116	−	0.0838046i
$185$	2.10848	−	13.3006i	0.155018	−	0.977877i
$186$	0.335903	−	0.0250240i	0.0246296	−	0.00183485i
$187$	7.65909	+	7.65909i	0.560088	+	0.560088i
$188$	19.5414	+	14.4488i	1.42521	+	1.05379i
$189$	−1.67800			−0.122056
$190$	−3.15143	−	0.261716i	−0.228629	−	0.0189869i
$191$		−	20.8497i		−	1.50863i	−0.656512	−	0.754316i	$-0.727969\pi$
$191$		−	20.8497i		−	1.50863i	0.656512	−	0.754316i	$-0.272031\pi$
$192$	0.872361	+	0.307837i	0.0629572	+	0.0222162i
$193$	−15.9285	+	15.9285i	−1.14656	+	1.14656i	−0.159334	+	0.987225i	$0.550935\pi$
$193$	−15.9285	+	15.9285i	−1.14656	+	1.14656i	−0.987225	+	0.159334i	$0.949065\pi$
$194$	19.4270	−	1.44727i	1.39478	−	0.103908i
$195$	−0.424494	+	0.308324i	−0.0303987	+	0.0220795i
$196$	2.22436	−	0.333269i	0.158883	−	0.0238050i
$197$	−2.47527	+	2.47527i	−0.176356	+	0.176356i	−0.789765	−	0.613409i	$-0.789798\pi$
$197$	−2.47527	+	2.47527i	−0.176356	+	0.176356i	0.613409	+	0.789765i	$0.289798\pi$
$198$	5.38165	+	4.63540i	0.382457	+	0.329424i
$199$	14.9416			1.05918			0.529591	−	0.848253i	$-0.322345\pi$
$199$	14.9416			1.05918			0.529591	+	0.848253i	$0.322345\pi$
$200$	−10.8706	+	9.04604i	−0.768665	+	0.639652i
$201$	0.419311			0.0295759
$202$	−1.57284	−	1.35474i	−0.110664	−	0.0953191i
$203$	−0.855390	+	0.855390i	−0.0600366	+	0.0600366i
$204$	−0.220725	−	1.47320i	−0.0154538	−	0.103144i
$205$	9.40650	−	6.83225i	0.656978	−	0.477185i
$206$	16.7809	−	1.25013i	1.16918	−	0.0871010i
$207$	−0.870353	+	0.870353i	−0.0604937	+	0.0604937i
$208$	−7.16902	−	3.80508i	−0.497082	−	0.263835i
$209$			1.68163i			0.116321i
$210$	−0.883317	−	0.0733567i	−0.0609547	−	0.00506209i
$211$	−2.53428			−0.174467			−0.0872337	−	0.996188i	$-0.527803\pi$
$211$	−2.53428			−0.174467			−0.0872337	+	0.996188i	$0.527803\pi$
$212$	3.43293	−	4.64291i	0.235775	−	0.318876i
$213$	−0.696286	−	0.696286i	−0.0477087	−	0.0477087i
$214$	−18.7980	+	1.40041i	−1.28501	+	0.0957300i
$215$	−1.14097	+	7.19742i	−0.0778137	+	0.490860i
$216$	−0.433184	−	1.90950i	−0.0294744	−	0.129925i
$217$	−3.53032	−	3.53032i	−0.239654	−	0.239654i
$218$	10.4764	−	12.1630i	0.709553	−	0.823783i
$219$			1.43469i			0.0969470i
$220$	5.27241	+	5.36277i	0.355466	+	0.361558i
$221$			13.0694i			0.879145i
$222$	0.746223	+	0.642748i	0.0500832	+	0.0431384i
$223$	16.3266	+	16.3266i	1.09331	+	1.09331i	0.995173	+	0.0981371i	$0.0312884\pi$
$223$	16.3266	+	16.3266i	1.09331	+	1.09331i	0.0981371	+	0.995173i	$0.468712\pi$
$224$	−4.98141	−	12.7749i	−0.332835	−	0.853560i
$225$	14.2010	+	4.61850i	0.946733	+	0.307900i
$226$	−1.68208	−	22.5789i	−0.111890	−	1.50193i
$227$	−6.11132	−	6.11132i	−0.405623	−	0.405623i	0.474586	−	0.880209i	$-0.342598\pi$
$227$	−6.11132	−	6.11132i	−0.405623	−	0.405623i	−0.880209	+	0.474586i	$0.842598\pi$
$228$	0.137497	−	0.185959i	0.00910594	−	0.0123154i
$229$	9.79993			0.647597			0.323799	−	0.946126i	$-0.395040\pi$
$229$	9.79993			0.647597			0.323799	+	0.946126i	$0.395040\pi$
$230$	−0.994647	+	0.842110i	−0.0655851	+	0.0555271i
$231$			0.471346i			0.0310123i
$232$	−1.19423	−	0.752581i	−0.0784048	−	0.0494093i
$233$	−8.84565	+	8.84565i	−0.579498	+	0.579498i	−0.934765	−	0.355267i	$-0.884390\pi$
$233$	−8.84565	+	8.84565i	−0.579498	+	0.579498i	0.355267	+	0.934765i	$0.384390\pi$
$234$	0.636697	+	8.54653i	0.0416222	+	0.558704i
$235$	4.25425	−	26.8364i	0.277517	−	1.75062i
$236$	−10.7724	+	1.61400i	−0.701224	+	0.105062i
$237$	−0.0582901	+	0.0582901i	−0.00378635	+	0.00378635i
$238$	−14.4097	+	16.7295i	−0.934044	+	1.08441i
$239$	−14.0518			−0.908938			−0.454469	−	0.890762i	$-0.650171\pi$
$239$	−14.0518			−0.908938			−0.454469	+	0.890762i	$0.650171\pi$
$240$	−0.144555	−	1.02412i	−0.00933101	−	0.0661068i
$241$	−5.93439			−0.382268			−0.191134	−	0.981564i	$-0.561216\pi$
$241$	−5.93439			−0.382268			−0.191134	+	0.981564i	$0.561216\pi$
$242$	−7.54241	+	8.75666i	−0.484845	+	0.562899i
$243$	−2.19459	+	2.19459i	−0.140783	+	0.140783i
$244$	−12.9486	+	1.94005i	−0.828949	+	0.124199i
$245$	−1.47781	−	2.03462i	−0.0944137	−	0.129987i
$246$	0.0631667	+	0.847901i	0.00402736	+	0.0540602i
$247$	−1.43476	+	1.43476i	−0.0912918	+	0.0912918i
$248$	3.10601	−	4.92875i	0.197232	−	0.312976i
$249$		−	2.02960i		−	0.128621i
$250$	14.5799	+	6.11776i	0.922113	+	0.386921i
$251$	−14.3718			−0.907143			−0.453572	−	0.891220i	$-0.649850\pi$
$251$	−14.3718			−0.907143			−0.453572	+	0.891220i	$0.649850\pi$
$252$	−8.60799	+	11.6420i	−0.542253	+	0.733376i
$253$	0.490055	+	0.490055i	0.0308095	+	0.0308095i
$254$	−1.05012	−	14.0960i	−0.0658903	−	0.884462i
$255$	−1.34753	+	0.978753i	−0.0843854	+	0.0612919i
$256$	13.2514	−	8.96658i	0.828214	−	0.560411i
$257$	0.519722	+	0.519722i	0.0324193	+	0.0324193i	0.723131	−	0.690711i	$-0.242702\pi$
$257$	0.519722	+	0.519722i	0.0324193	+	0.0324193i	−0.690711	+	0.723131i	$0.742702\pi$
$258$	−0.403808	−	0.347814i	−0.0251400	−	0.0216540i
$259$		−	14.5980i		−	0.907076i
$260$	−0.0770971	+	9.07392i	−0.00478136	+	0.562740i
$261$			1.49053i			0.0922616i
$262$	8.83757	−	10.2603i	0.545987	−	0.633884i
$263$	7.30132	+	7.30132i	0.450219	+	0.450219i	0.895427	−	0.445208i	$-0.146870\pi$
$263$	7.30132	+	7.30132i	0.450219	+	0.450219i	−0.445208	+	0.895427i	$0.646870\pi$
$264$	−0.536375	+	0.121680i	−0.0330116	+	0.00748891i
$265$	−6.37616	−	1.01078i	−0.391684	−	0.0620918i
$266$	−3.41847	+	0.254668i	−0.209600	+	0.0156147i
$267$	0.918601	+	0.918601i	0.0562175	+	0.0562175i
$268$	4.31169	−	5.83140i	0.263378	−	0.356209i
$269$	31.3080			1.90888			0.954441	−	0.298399i	$-0.0964525\pi$
$269$	31.3080			1.90888			0.954441	+	0.298399i	$0.0964525\pi$
$270$	−1.67075	+	1.41453i	−0.101679	+	0.0860856i
$271$		−	5.69225i		−	0.345779i	−0.984941	−	0.172890i	$-0.944690\pi$
$271$		−	5.69225i		−	0.345779i	0.984941	−	0.172890i	$-0.0553104\pi$
$272$	−22.7576	−	12.0790i	−1.37988	−	0.732395i
$273$	−0.402151	+	0.402151i	−0.0243393	+	0.0243393i
$274$	8.10987	−	0.604167i	0.489935	−	0.0364990i
$275$	2.60046	−	7.99592i	0.156814	−	0.482172i
$276$	−0.0141227	−	0.0942603i	−0.000850088	−	0.00567380i
$277$	−2.91549	+	2.91549i	−0.175175	+	0.175175i	−0.789249	−	0.614074i	$-0.789530\pi$
$277$	−2.91549	+	2.91549i	−0.175175	+	0.175175i	0.614074	+	0.789249i	$0.289530\pi$
$278$	−13.5570	−	11.6771i	−0.813092	−	0.700345i
$279$	−6.15165			−0.368289
$280$	−10.1032	+	11.5301i	−0.603779	+	0.689053i
$281$	4.42798			0.264151			0.132076	−	0.991240i	$-0.457836\pi$
$281$	4.42798			0.264151			0.132076	+	0.991240i	$0.457836\pi$
$282$	1.50565	+	1.29687i	0.0896600	+	0.0772273i
$283$	−13.5718	+	13.5718i	−0.806757	+	0.806757i	−0.984142	−	0.177385i	$-0.943236\pi$
$283$	−13.5718	+	13.5718i	−0.806757	+	0.806757i	0.177385	+	0.984142i	$0.443236\pi$
$284$	−16.8431	+	2.52355i	−0.999453	+	0.149745i
$285$	−0.255379	−	0.0404841i	−0.0151274	−	0.00239807i
$286$	4.81215	−	0.358494i	0.284549	−	0.0211982i
$287$	8.91140	−	8.91140i	0.526023	−	0.526023i
$288$	−15.4704	−	6.79016i	−0.911600	−	0.400114i
$289$			24.4880i			1.44047i
$290$	−0.130614	+	1.57278i	−0.00766993	+	0.0923568i
$291$	1.59288			0.0933762
$292$	19.9523	+	14.7526i	1.16762	+	0.863330i
$293$	−19.6405	−	19.6405i	−1.14741	−	1.14741i	−0.987060	−	0.160349i	$-0.948738\pi$
$293$	−19.6405	−	19.6405i	−1.14741	−	1.14741i	−0.160349	−	0.987060i	$-0.551262\pi$
$294$	0.183400	−	0.0136629i	0.0106961	−	0.000796836i
$295$	7.15690	+	9.85347i	0.416691	+	0.573691i
$296$	16.6120	−	3.76855i	0.965554	−	0.219042i
$297$	0.823168	+	0.823168i	0.0477650	+	0.0477650i
$298$	−6.40375	+	7.43468i	−0.370959	+	0.430679i
$299$			0.836228i			0.0483603i
$300$	−0.941342	+	0.671585i	−0.0543484	+	0.0387740i
$301$			7.89951i			0.455320i
$302$	5.08353	+	4.37862i	0.292524	+	0.251961i
$303$	−0.120020	−	0.120020i	−0.00689500	−	0.00689500i
$304$	−1.17230	−	3.82436i	−0.0672360	−	0.219342i
$305$	8.60270	+	11.8440i	0.492589	+	0.678187i
$306$	2.02115	+	27.1304i	0.115541	+	1.55094i
$307$	24.5418	+	24.5418i	1.40068	+	1.40068i	0.797944	+	0.602731i	$0.205921\pi$
$307$	24.5418	+	24.5418i	1.40068	+	1.40068i	0.602731	+	0.797944i	$0.294079\pi$
$308$	6.55506	+	4.84676i	0.373509	+	0.276170i
$309$	1.37591			0.0782730
$310$	−6.49109	−	0.539064i	−0.368669	−	0.0306168i
$311$		−	21.7682i		−	1.23436i	−0.786821	−	0.617181i	$-0.788275\pi$
$311$		−	21.7682i		−	1.23436i	0.786821	−	0.617181i	$-0.211725\pi$
$312$	−0.561452	−	0.353817i	−0.0317859	−	0.0200309i
$313$	−14.2831	+	14.2831i	−0.807326	+	0.807326i	−0.984228	−	0.176902i	$-0.943392\pi$
$313$	−14.2831	+	14.2831i	−0.807326	+	0.807326i	0.176902	+	0.984228i	$0.443392\pi$
$314$	1.15620	+	15.5199i	0.0652479	+	0.875838i
$315$	15.9881	+	2.53451i	0.900825	+	0.142803i
$316$	0.211261	+	1.41003i	0.0118843	+	0.0793204i
$317$	14.6113	−	14.6113i	0.820651	−	0.820651i	−0.165550	−	0.986201i	$-0.552940\pi$
$317$	14.6113	−	14.6113i	0.820651	−	0.820651i	0.986201	+	0.165550i	$0.0529400\pi$
$318$	0.308127	−	0.357732i	0.0172789	−	0.0200606i
$319$	0.839249			0.0469889
$320$	−15.7290	−	8.52049i	−0.879277	−	0.476310i
$321$	−1.54131			−0.0860274
$322$	−0.921985	+	1.07041i	−0.0513802	+	0.0596518i
$323$	−4.55456	+	4.55456i	−0.253422	+	0.253422i
$324$	2.63150	+	17.5636i	0.146195	+	0.975757i
$325$	9.04081	−	4.60339i	0.501494	−	0.255350i
$326$	0.730564	+	9.80654i	0.0404622	+	0.543134i
$327$	0.928138	−	0.928138i	0.0513261	−	0.0513261i
$328$	12.4414	+	7.84034i	0.686960	+	0.432910i
$329$		−	29.4543i		−	1.62387i
$330$	0.397339	+	0.469311i	0.0218728	+	0.0258347i
$331$	14.0460			0.772037			0.386019	−	0.922491i	$-0.373850\pi$
$331$	14.0460			0.772037			0.386019	+	0.922491i	$0.373850\pi$
$332$	−28.2259	−	20.8700i	−1.54910	−	1.14539i
$333$	−12.7186	−	12.7186i	−0.696978	−	0.696978i
$334$	−2.13512	−	28.6603i	−0.116829	−	1.56822i
$335$	−8.00832	−	1.26952i	−0.437541	−	0.0693613i
$336$	−0.328585	−	1.07193i	−0.0179258	−	0.0584788i
$337$	7.29058	+	7.29058i	0.397143	+	0.397143i	0.877224	−	0.480081i	$-0.159393\pi$
$337$	7.29058	+	7.29058i	0.397143	+	0.397143i	−0.480081	+	0.877224i	$0.659393\pi$
$338$	−9.51828	−	8.19843i	−0.517726	−	0.445936i
$339$		−	1.85131i		−	0.100550i
$340$	−0.244739	+	28.8045i	−0.0132729	+	1.56214i
$341$			3.46370i			0.187570i
$342$	−2.75649	+	3.20026i	−0.149054	+	0.173050i
$343$	−13.9253	−	13.9253i	−0.751897	−	0.751897i
$344$	−8.98937	+	2.03930i	−0.484674	+	0.109952i
$345$	−0.0862195	+	0.0626240i	−0.00464190	+	0.00337156i
$346$	3.57152	−	0.266070i	0.192006	−	0.0143040i
$347$	10.3952	+	10.3952i	0.558042	+	0.558042i	0.928749	−	0.370708i	$-0.120885\pi$
$347$	10.3952	+	10.3952i	0.558042	+	0.558042i	−0.370708	+	0.928749i	$0.620885\pi$
$348$	−0.0928063	−	0.0686202i	−0.00497494	−	0.00367843i
$349$	27.2478			1.45854			0.729269	−	0.684227i	$-0.239860\pi$
$349$	27.2478			1.45854			0.729269	+	0.684227i	$0.239860\pi$
$350$	16.6482	+	4.07538i	0.889882	+	0.217838i
$351$			1.40465i			0.0749747i
$352$	−3.82322	+	8.71064i	−0.203778	+	0.464279i
$353$	14.4723	−	14.4723i	0.770280	−	0.770280i	−0.207875	−	0.978155i	$-0.566655\pi$
$353$	14.4723	−	14.4723i	0.770280	−	0.770280i	0.978155	+	0.207875i	$0.0666548\pi$
$354$	−0.888192	+	0.0661682i	−0.0472069	+	0.00351680i
$355$	11.1901	+	15.4063i	0.593908	+	0.817681i
$356$	22.2209	−	3.32928i	1.17770	−	0.176452i
$357$	−1.27660	+	1.27660i	−0.0675649	+	0.0675649i
$358$	−11.1973	−	9.64466i	−0.591798	−	0.509736i
$359$	0.139983			0.00738804			0.00369402	−	0.999993i	$-0.498824\pi$
$359$	0.139983			0.00738804			0.00369402	+	0.999993i	$0.498824\pi$
$360$	1.24321	+	18.8481i	0.0655230	+	0.993384i
$361$	−1.00000			−0.0526316
$362$	−20.1931	−	17.3930i	−1.06132	−	0.914155i
$363$	−0.668205	+	0.668205i	−0.0350717	+	0.0350717i
$364$	1.45752	+	9.72800i	0.0763946	+	0.509886i
$365$	4.34370	−	27.4007i	0.227360	−	1.43422i
$366$	−1.06762	+	0.0795352i	−0.0558054	+	0.00415737i
$367$	6.97245	−	6.97245i	0.363959	−	0.363959i	−0.501309	−	0.865268i	$-0.667148\pi$
$367$	6.97245	−	6.97245i	0.363959	−	0.363959i	0.865268	+	0.501309i	$0.167148\pi$
$368$	−1.45611	−	0.772854i	−0.0759049	−	0.0402878i
$369$		−	15.5283i		−	0.808369i
$370$	−12.3059	−	14.5350i	−0.639755	−	0.755638i
$371$	−6.99814			−0.363325
$372$	0.283206	−	0.383025i	0.0146835	−	0.0198589i
$373$	9.67996	+	9.67996i	0.501209	+	0.501209i	0.911814	−	0.410604i	$-0.134682\pi$
$373$	9.67996	+	9.67996i	0.501209	+	0.501209i	−0.410604	+	0.911814i	$0.634682\pi$
$374$	15.2758	−	1.13801i	0.789895	−	0.0588453i
$375$	1.15169	+	0.587412i	0.0594729	+	0.0303338i
$376$	33.5179	−	7.60377i	1.72856	−	0.392134i
$377$	0.716045	+	0.716045i	0.0368782	+	0.0368782i
$378$	−1.54870	+	1.79802i	−0.0796565	+	0.0924803i
$379$			8.50054i			0.436643i	0.975877	+	0.218322i	$0.0700582\pi$
$379$			8.50054i			0.436643i	−0.975877	+	0.218322i	$0.929942\pi$
$380$	−3.18903	+	3.13530i	−0.163594	+	0.160837i
$381$		−	1.15577i		−	0.0592121i
$382$	−22.3410	−	19.2431i	−1.14307	−	0.984564i
$383$	8.55363	+	8.55363i	0.437070	+	0.437070i	0.891025	−	0.453955i	$-0.149987\pi$
$383$	8.55363	+	8.55363i	0.437070	+	0.437070i	−0.453955	+	0.891025i	$0.649987\pi$
$384$	1.13500	−	0.650643i	0.0579201	−	0.0332030i
$385$	1.42706	−	9.00213i	0.0727299	−	0.458791i
$386$	2.36671	+	31.7690i	0.120463	+	1.61700i
$387$	6.88252	+	6.88252i	0.349858	+	0.349858i
$388$	16.3793	−	22.1523i	0.831531	−	1.12461i
$389$	11.0464			0.560072			0.280036	−	0.959989i	$-0.409654\pi$
$389$	11.0464			0.560072			0.280036	+	0.959989i	$0.409654\pi$
$390$	−0.0614068	+	0.739424i	−0.00310945	+	0.0374422i
$391$			2.65455i			0.134246i
$392$	1.69586	−	2.69106i	0.0856537	−	0.135919i
$393$	0.782947	−	0.782947i	0.0394945	−	0.0394945i
$394$	0.367785	+	4.93686i	0.0185287	+	0.248715i
$395$	1.28975	−	0.936787i	0.0648943	−	0.0471349i
$396$	9.93393	−	1.48837i	0.499199	−	0.0747934i
$397$	5.91962	−	5.91962i	0.297097	−	0.297097i	−0.542779	−	0.839876i	$-0.682628\pi$
$397$	5.91962	−	5.91962i	0.297097	−	0.297097i	0.839876	+	0.542779i	$0.182628\pi$
$398$	13.7903	−	16.0103i	0.691244	−	0.802526i
$399$	−0.280291			−0.0140321
$400$	−0.339838	+	19.9971i	−0.0169919	+	0.999856i
$401$	12.0790			0.603197			0.301599	−	0.953435i	$-0.402480\pi$
$401$	12.0790			0.603197			0.301599	+	0.953435i	$0.402480\pi$
$402$	0.387001	−	0.449303i	0.0193018	−	0.0224092i
$403$	−2.95523	+	2.95523i	−0.147210	+	0.147210i
$404$	−2.90328	+	0.434990i	−0.144444	+	0.0216415i
$405$	16.0654	−	11.6688i	0.798295	−	0.579828i
$406$	0.127097	+	1.70605i	0.00630771	+	0.0846699i
$407$	−7.16128	+	7.16128i	−0.354971	+	0.354971i
$408$	−1.78229	−	1.12317i	−0.0882365	−	0.0556051i
$409$			4.33801i			0.214501i	0.994232	+	0.107250i	$0.0342047\pi$
$409$			4.33801i			0.214501i	−0.994232	+	0.107250i	$0.965795\pi$
$410$	1.36073	−	16.3851i	0.0672017	−	0.809203i
$411$	0.664953			0.0327997
$412$	14.1482	−	19.1350i	0.697034	−	0.942712i
$413$	9.33484	+	9.33484i	0.459338	+	0.459338i
$414$	0.129320	+	1.73590i	0.00635574	+	0.0853146i
$415$	−6.14489	+	38.7629i	−0.301641	+	1.90279i
$416$	−10.6939	+	4.16993i	−0.524310	+	0.204448i
$417$	−1.03451	−	1.03451i	−0.0506601	−	0.0506601i
$418$	1.80192	+	1.55205i	0.0881346	+	0.0759134i
$419$		−	10.9004i		−	0.532519i	−0.963901	−	0.266260i	$-0.914212\pi$
$419$		−	10.9004i		−	0.532519i	0.963901	−	0.266260i	$-0.0857879\pi$
$420$	−0.893857	+	0.878795i	−0.0436157	+	0.0428808i
$421$			27.0805i			1.31982i	0.751343	+	0.659912i	$0.229406\pi$
$421$			27.0805i			1.31982i	−0.751343	+	0.659912i	$0.770594\pi$
$422$	−2.33900	+	2.71556i	−0.113861	+	0.132191i
$423$	−25.6623	−	25.6623i	−1.24774	−	1.24774i
$424$	−1.80660	−	7.96364i	−0.0877364	−	0.386748i
$425$	28.6994	−	14.6132i	1.39213	−	0.708842i
$426$	−1.38872	+	0.103457i	−0.0672838	+	0.00501249i
$427$	11.2206	+	11.2206i	0.543004	+	0.543004i
$428$	−15.8490	+	21.4351i	−0.766089	+	1.03611i
$429$	0.394563			0.0190497
$430$	6.65919	+	7.86541i	0.321134	+	0.379304i
$431$		−	23.8909i		−	1.15078i	−0.817878	−	0.575392i	$-0.804849\pi$
$431$		−	23.8909i		−	1.15078i	0.817878	−	0.575392i	$-0.195151\pi$
$432$	−2.44589	−	1.29820i	−0.117678	−	0.0624596i
$433$	23.7413	−	23.7413i	1.14093	−	1.14093i	0.152653	−	0.988280i	$-0.451218\pi$
$433$	23.7413	−	23.7413i	1.14093	−	1.14093i	0.988280	−	0.152653i	$-0.0487818\pi$
$434$	−7.04113	+	0.524548i	−0.337985	+	0.0251791i
$435$	−0.0202043	+	0.127452i	−0.000968723	+	0.00611085i
$436$	−3.36385	−	22.4516i	−0.161099	−	1.07523i
$437$	−0.291416	+	0.291416i	−0.0139403	+	0.0139403i
$438$	1.53731	+	1.32414i	0.0734553	+	0.0632696i
$439$	−15.6214			−0.745570			−0.372785	−	0.927918i	$-0.621597\pi$
$439$	−15.6214			−0.745570			−0.372785	+	0.927918i	$0.621597\pi$
$440$	10.6125	−	0.699994i	0.505931	−	0.0333709i
$441$	−3.35875			−0.159940
$442$	14.0043	+	12.0624i	0.666115	+	0.573748i
$443$	6.06453	−	6.06453i	0.288135	−	0.288135i	−0.548208	−	0.836342i	$-0.684690\pi$
$443$	6.06453	−	6.06453i	0.288135	−	0.288135i	0.836342	+	0.548208i	$0.184690\pi$
$444$	1.37745	−	0.206378i	0.0653707	−	0.00979428i
$445$	−14.7630	−	20.3253i	−0.699831	−	0.963513i
$446$	32.5630	−	2.42586i	1.54190	−	0.114868i
$447$	−0.567327	+	0.567327i	−0.0268337	+	0.0268337i
$448$	−18.2863	−	6.45281i	−0.863944	−	0.304867i
$449$			6.33217i			0.298833i	0.988774	+	0.149417i	$0.0477396\pi$
$449$			6.33217i			0.298833i	−0.988774	+	0.149417i	$0.952260\pi$
$450$	18.0556	−	10.9542i	0.851148	−	0.516384i
$451$	−8.74324			−0.411703
$452$	−25.7464	−	19.0367i	−1.21101	−	0.895411i
$453$	0.387915	+	0.387915i	0.0182259	+	0.0182259i
$454$	−12.1889	+	0.908042i	−0.572052	+	0.0426165i
$455$	8.89816	−	6.46303i	0.417152	−	0.302991i
$456$	−0.0723585	−	0.318961i	−0.00338850	−	0.0149367i
$457$	6.32435	+	6.32435i	0.295840	+	0.295840i	0.839382	−	0.543542i	$-0.182917\pi$
$457$	6.32435	+	6.32435i	0.295840	+	0.295840i	−0.543542	+	0.839382i	$0.682917\pi$
$458$	9.04479	−	10.5009i	0.422635	−	0.490675i
$459$			4.45896i			0.208127i
$460$	−0.0156593	+	1.84301i	−0.000730118	+	0.0859309i
$461$			23.1523i			1.07831i	0.842207	+	0.539154i	$0.181256\pi$
$461$			23.1523i			1.07831i	−0.842207	+	0.539154i	$0.818744\pi$
$462$	0.505061	+	0.435026i	0.0234975	+	0.0202393i
$463$	19.9330	+	19.9330i	0.926363	+	0.926363i	0.997469	−	0.0711059i	$-0.0226528\pi$
$463$	19.9330	+	19.9330i	0.926363	+	0.926363i	−0.0711059	+	0.997469i	$0.522653\pi$
$464$	−1.90862	+	0.585057i	−0.0886053	+	0.0271606i
$465$	−0.526012	−	0.0833862i	−0.0243932	−	0.00386694i
$466$	1.31432	+	17.6424i	0.0608846	+	0.817269i
$467$	−11.5957	−	11.5957i	−0.536585	−	0.536585i	0.385939	−	0.922524i	$-0.373878\pi$
$467$	−11.5957	−	11.5957i	−0.536585	−	0.536585i	−0.922524	+	0.385939i	$0.873878\pi$
$468$	9.74549	+	7.20574i	0.450485	+	0.333085i
$469$	−8.78951			−0.405862
$470$	−24.8296	−	29.3271i	−1.14530	−	1.35276i
$471$			1.27252i			0.0586348i
$472$	−8.21289	+	13.0326i	−0.378029	+	0.599872i
$473$	3.87523	−	3.87523i	0.178183	−	0.178183i
$474$	0.00866095	+	0.116258i	0.000397811	+	0.00533991i
$475$	4.75486	+	1.54639i	0.218168	+	0.0709533i
$476$	4.62678	+	30.8809i	0.212068	+	1.41542i
$477$	−6.09719	+	6.09719i	−0.279171	+	0.279171i
$478$	−12.9691	+	15.0570i	−0.593192	+	0.688689i
$479$	25.2035			1.15158			0.575788	−	0.817599i	$-0.304695\pi$
$479$	25.2035			1.15158			0.575788	+	0.817599i	$0.304695\pi$
$480$	−1.23079	−	0.790312i	−0.0561777	−	0.0360727i
$481$	−12.2200			−0.557183
$482$	−5.47711	+	6.35887i	−0.249476	+	0.289638i
$483$	−0.0816814	+	0.0816814i	−0.00371663	+	0.00371663i
$484$	2.42177	+	16.1638i	0.110081	+	0.734719i
$485$	−30.4220	−	4.82266i	−1.38139	−	0.218985i
$486$	0.326080	+	4.37705i	0.0147913	+	0.198547i
$487$	−11.7968	+	11.7968i	−0.534566	+	0.534566i	−0.921928	−	0.387362i	$-0.873386\pi$
$487$	−11.7968	+	11.7968i	−0.534566	+	0.534566i	0.387362	+	0.921928i	$0.373386\pi$
$488$	−9.87202	+	15.6653i	−0.446885	+	0.709137i
$489$			0.804068i			0.0363612i
$490$	−3.54408	−	0.294325i	−0.160105	−	0.0132962i
$491$	−26.2767			−1.18585			−0.592926	−	0.805257i	$-0.702027\pi$
$491$	−26.2767			−1.18585			−0.592926	+	0.805257i	$0.702027\pi$
$492$	0.966850	+	0.714881i	0.0435890	+	0.0322293i
$493$	2.27304	+	2.27304i	0.102372	+	0.102372i
$494$	0.213182	+	2.86160i	0.00959153	+	0.128749i
$495$	−6.59984	−	9.08653i	−0.296641	−	0.408409i
$496$	−2.41462	−	7.87714i	−0.108420	−	0.353694i
$497$	14.5954	+	14.5954i	0.654693	+	0.654693i
$498$	−2.17478	−	1.87321i	−0.0974540	−	0.0839405i
$499$			28.6015i			1.28038i	0.768217	+	0.640190i	$0.221144\pi$
$499$			28.6015i			1.28038i	−0.768217	+	0.640190i	$0.778856\pi$
$500$	20.0118	−	9.97640i	0.894954	−	0.446158i
$501$		−	2.34994i		−	0.104988i
$502$	−13.2644	+	15.3998i	−0.592020	+	0.687329i
$503$	26.7711	+	26.7711i	1.19366	+	1.19366i	0.976031	+	0.217632i	$0.0698333\pi$
$503$	26.7711	+	26.7711i	1.19366	+	1.19366i	0.217632	+	0.976031i	$0.430167\pi$
$504$	4.53001	+	19.9686i	0.201783	+	0.889473i
$505$	1.92886	+	2.65562i	0.0858333	+	0.118174i
$506$	0.977401	−	0.0728141i	0.0434508	−	0.00323698i
$507$	−0.726324	−	0.726324i	−0.0322572	−	0.0322572i
$508$	−16.0735	−	11.8846i	−0.713145	−	0.527294i
$509$	10.8890			0.482645			0.241323	−	0.970445i	$-0.422419\pi$
$509$	10.8890			0.482645			0.241323	+	0.970445i	$0.422419\pi$
$510$	−0.194932	+	2.34725i	−0.00863171	+	0.103938i
$511$		−	30.0736i		−	1.33038i
$512$	2.62239	−	22.4749i	0.115894	−	0.993262i
$513$	−0.489506	+	0.489506i	−0.0216122	+	0.0216122i
$514$	1.03657	−	0.0772221i	0.0457212	−	0.00340612i
$515$	−26.2783	−	4.16577i	−1.15796	−	0.183566i
$516$	−0.745386	+	0.111679i	−0.0328138	+	0.00491639i
$517$	−14.4492	+	14.4492i	−0.635477	+	0.635477i
$518$	−15.6422	−	13.4732i	−0.687278	−	0.591976i
$519$	0.292840			0.0128543
$520$	9.65180	+	8.45734i	0.423260	+	0.370879i
$521$	18.3820			0.805332			0.402666	−	0.915347i	$-0.368084\pi$
$521$	18.3820			0.805332			0.402666	+	0.915347i	$0.368084\pi$
$522$	1.59715	+	1.37568i	0.0699052	+	0.0602118i
$523$	−25.6420	+	25.6420i	−1.12125	+	1.12125i	−0.129691	+	0.991555i	$0.541398\pi$
$523$	−25.6420	+	25.6420i	−1.12125	+	1.12125i	−0.991555	+	0.129691i	$0.958602\pi$
$524$	−2.83763	−	18.9394i	−0.123963	−	0.827372i
$525$	1.33274	+	0.433440i	0.0581657	+	0.0189169i
$526$	14.5623	−	1.08486i	0.634946	−	0.0473020i
$527$	−9.38116	+	9.38116i	−0.408650	+	0.408650i
$528$	−0.364661	+	0.687046i	−0.0158698	+	0.0298998i
$529$		−	22.8302i		−	0.992615i
$530$	−6.96792	+	5.89934i	−0.302667	+	0.256251i
$531$	16.2661			0.705890
$532$	−2.88218	+	3.89803i	−0.124958	+	0.169001i
$533$	−7.45972	−	7.45972i	−0.323116	−	0.323116i
$534$	1.83213	−	0.136489i	0.0792838	−	0.00590646i
$535$	29.4371	+	4.66652i	1.27268	+	0.201751i
$536$	−2.26905	−	10.0022i	−0.0980082	−	0.432027i
$537$	−0.854450	−	0.854450i	−0.0368722	−	0.0368722i
$538$	28.8956	−	33.5474i	1.24578	−	1.44633i
$539$			1.89115i			0.0814578i
$540$	−0.0263036	+	3.09579i	−0.00113193	+	0.133222i
$541$		−	28.0784i		−	1.20719i	−0.797293	−	0.603593i	$-0.793735\pi$
$541$		−	28.0784i		−	1.20719i	0.797293	−	0.603593i	$-0.206265\pi$
$542$	−6.09941	−	5.25363i	−0.261992	−	0.225663i
$543$	−1.54090	−	1.54090i	−0.0661262	−	0.0661262i
$544$	−33.9469	+	13.2372i	−1.45546	+	0.567539i
$545$	−20.5363	+	14.9162i	−0.879680	+	0.638941i
$546$	0.0597531	+	0.802080i	0.00255720	+	0.0343259i
$547$	−1.79355	−	1.79355i	−0.0766867	−	0.0766867i	0.667723	−	0.744410i	$-0.267269\pi$
$547$	−1.79355	−	1.79355i	−0.0766867	−	0.0766867i	−0.744410	+	0.667723i	$0.767269\pi$
$548$	6.83758	−	9.24757i	0.292087	−	0.395037i
$549$	19.5521			0.834465
$550$	−6.16777	−	10.1663i	−0.262995	−	0.433491i
$551$			0.499068i			0.0212610i
$552$	−0.114037	−	0.0718641i	−0.00485374	−	0.00305874i
$553$	1.22186	−	1.22186i	0.0519590	−	0.0519590i
$554$	0.433194	+	5.81486i	0.0184046	+	0.247050i
$555$	−0.915138	−	1.25994i	−0.0388454	−	0.0534816i
$556$	−25.0246	+	3.74936i	−1.06128	+	0.159008i
$557$	−0.959844	+	0.959844i	−0.0406699	+	0.0406699i	−0.727149	−	0.686479i	$-0.759155\pi$
$557$	−0.959844	+	0.959844i	−0.0406699	+	0.0406699i	0.686479	+	0.727149i	$0.259155\pi$
$558$	−5.67763	+	6.59166i	−0.240353	+	0.279047i
$559$	6.61267			0.279686
$560$	3.03014	+	21.4674i	0.128047	+	0.907165i
$561$	1.25251			0.0528812
$562$	4.08678	−	4.74471i	0.172390	−	0.200143i
$563$	−6.16317	+	6.16317i	−0.259747	+	0.259747i	−0.824951	−	0.565204i	$-0.808797\pi$
$563$	−6.16317	+	6.16317i	−0.259747	+	0.259747i	0.565204	+	0.824951i	$0.308797\pi$
$564$	2.77926	−	0.416408i	0.117028	−	0.0175339i
$565$	−5.60510	+	35.3578i	−0.235809	+	1.48751i
$566$	2.01654	+	27.0685i	0.0847615	+	1.13777i
$567$	15.2198	−	15.2198i	0.639171	−	0.639171i
$568$	−12.8412	+	20.3769i	−0.538804	+	0.854997i
$569$			10.4809i			0.439382i	0.975570	+	0.219691i	$0.0705049\pi$
$569$			10.4809i			0.439382i	−0.975570	+	0.219691i	$0.929495\pi$
$570$	−0.279081	+	0.236282i	−0.0116894	+	0.00989675i
$571$	−10.5243			−0.440429			−0.220214	−	0.975451i	$-0.570676\pi$
$571$	−10.5243			−0.440429			−0.220214	+	0.975451i	$0.570676\pi$
$572$	4.05721	−	5.48723i	0.169641	−	0.229433i
$573$	−1.70481	−	1.70481i	−0.0712193	−	0.0712193i
$574$	−1.32409	−	17.7735i	−0.0552663	−	0.741853i
$575$	1.83629	−	0.935000i	0.0765785	−	0.0389922i
$576$	−21.5541	+	10.3100i	−0.898089	+	0.429583i
$577$	1.18895	+	1.18895i	0.0494965	+	0.0494965i	0.731422	−	0.681925i	$-0.238857\pi$
$577$	1.18895	+	1.18895i	0.0494965	+	0.0494965i	−0.681925	+	0.731422i	$0.738857\pi$
$578$	26.2396	+	22.6011i	1.09142	+	0.940081i
$579$			2.60484i			0.108253i
$580$	1.56473	+	1.59154i	0.0649718	+	0.0660853i
$581$			42.5441i			1.76503i
$582$	1.47014	−	1.70681i	0.0609392	−	0.0707497i
$583$	3.43304	+	3.43304i	0.142182	+	0.142182i
$584$	34.2227	−	7.76364i	1.41614	−	0.321262i
$585$	2.12163	−	13.3836i	0.0877188	−	0.553343i
$586$	−39.1724	+	2.91825i	−1.61820	+	0.120552i
$587$	13.0363	+	13.0363i	0.538067	+	0.538067i	0.922961	−	0.384894i	$-0.125762\pi$
$587$	13.0363	+	13.0363i	0.538067	+	0.538067i	−0.384894	+	0.922961i	$0.625762\pi$
$588$	0.154628	−	0.209129i	0.00637675	−	0.00862432i
$589$	−2.05973			−0.0848697
$590$	17.1637	+	1.42539i	0.706618	+	0.0586824i
$591$			0.404788i			0.0166508i
$592$	11.2939	−	21.2784i	0.464175	−	0.874537i
$593$	−1.09556	+	1.09556i	−0.0449894	+	0.0449894i	−0.729244	−	0.684254i	$-0.760128\pi$
$593$	−1.09556	+	1.09556i	−0.0449894	+	0.0449894i	0.684254	+	0.729244i	$0.260128\pi$
$594$	1.64179	−	0.122309i	0.0673633	−	0.00501841i
$595$	28.2466	−	20.5164i	1.15800	−	0.841092i
$596$	2.05616	+	13.7236i	0.0842237	+	0.562140i
$597$	1.22172	−	1.22172i	0.0500018	−	0.0500018i
$598$	0.896042	+	0.771792i	0.0366419	+	0.0315609i
$599$	−38.0368			−1.55414			−0.777072	−	0.629412i	$-0.783296\pi$
$599$	−38.0368			−1.55414			−0.777072	+	0.629412i	$0.783296\pi$
$600$	−0.149185	+	1.62851i	−0.00609044	+	0.0664837i
$601$	8.12072			0.331251			0.165626	−	0.986189i	$-0.447036\pi$
$601$	8.12072			0.331251			0.165626	+	0.986189i	$0.447036\pi$
$602$	8.46455	+	7.29081i	0.344989	+	0.297151i
$603$	−7.65794	+	7.65794i	−0.311855	+	0.311855i
$604$	9.38363	−	1.40592i	0.381815	−	0.0572061i
$605$	14.7850	−	10.7388i	0.601095	−	0.436595i
$606$	−0.239378	+	0.0178331i	−0.00972405	+	0.000724419i
$607$	1.42181	−	1.42181i	0.0577096	−	0.0577096i	−0.677663	−	0.735373i	$-0.737007\pi$
$607$	1.42181	−	1.42181i	0.0577096	−	0.0577096i	0.735373	+	0.677663i	$0.237007\pi$
$608$	−5.17988	−	2.27352i	−0.210072	−	0.0922034i
$609$			0.139884i			0.00566840i
$610$	20.6310	+	1.71334i	0.835326	+	0.0693711i
$611$	−24.6561			−0.997480
$612$	30.9364	+	22.8741i	1.25053	+	0.924631i
$613$	7.70428	+	7.70428i	0.311173	+	0.311173i	0.845364	−	0.534191i	$-0.179384\pi$
$613$	7.70428	+	7.70428i	0.311173	+	0.311173i	−0.534191	+	0.845364i	$0.679384\pi$
$614$	48.9480	−	3.64651i	1.97538	−	0.147161i
$615$	0.210487	−	1.32778i	0.00848767	−	0.0535415i
$616$	11.2434	−	2.55064i	0.453009	−	0.102768i
$617$	−21.5196	−	21.5196i	−0.866345	−	0.866345i	0.125721	−	0.992066i	$-0.459876\pi$
$617$	−21.5196	−	21.5196i	−0.866345	−	0.866345i	−0.992066	+	0.125721i	$0.959876\pi$
$618$	1.26989	−	1.47433i	0.0510826	−	0.0593063i
$619$		−	38.7238i		−	1.55644i	−0.627990	−	0.778221i	$-0.716122\pi$
$619$		−	38.7238i		−	1.55644i	0.627990	−	0.778221i	$-0.283878\pi$
$620$	−6.56854	+	6.45786i	−0.263799	+	0.259354i
$621$			0.285300i			0.0114487i
$622$	−23.3253	−	20.0909i	−0.935257	−	0.805570i
$623$	−19.2555	−	19.2555i	−0.771457	−	0.771457i
$624$	−0.897314	+	0.275058i	−0.0359213	+	0.0110111i
$625$	−20.2173	−	14.7057i	−0.808694	−	0.588230i
$626$	2.12223	+	28.4872i	0.0848213	+	1.13858i
$627$	0.137501	+	0.137501i	0.00549126	+	0.00549126i
$628$	17.6971	+	13.0851i	0.706192	+	0.522153i
$629$	−38.7915			−1.54672
$630$	17.4719	−	14.7924i	0.696097	−	0.589345i
$631$			39.3146i			1.56509i	0.622595	+	0.782545i	$0.286079\pi$
$631$			39.3146i			1.56509i	−0.622595	+	0.782545i	$0.713921\pi$
$632$	1.70587	+	1.07501i	0.0678559	+	0.0427616i
$633$	−0.207220	+	0.207220i	−0.00823624	+	0.00823624i
$634$	−2.17100	−	29.1418i	−0.0862213	−	1.15737i
$635$	−3.49926	+	22.0739i	−0.138864	+	0.875974i
$636$	−0.0989357	−	0.660333i	−0.00392305	−	0.0261839i
$637$	−1.61353	+	1.61353i	−0.0639303	+	0.0639303i
$638$	0.774580	−	0.899279i	0.0306659	−	0.0356028i
$639$	25.4327			1.00610
$640$	−23.6469	+	8.99012i	−0.934727	+	0.355366i
$641$	−6.95367			−0.274653			−0.137327	−	0.990526i	$-0.543851\pi$
$641$	−6.95367			−0.274653			−0.137327	+	0.990526i	$0.543851\pi$
$642$	−1.42254	+	1.65156i	−0.0561433	+	0.0651817i
$643$	−29.8072	+	29.8072i	−1.17548	+	1.17548i	−0.194600	+	0.980883i	$0.562341\pi$
$643$	−29.8072	+	29.8072i	−1.17548	+	1.17548i	−0.980883	+	0.194600i	$0.937659\pi$
$644$	0.296038	+	1.97587i	0.0116655	+	0.0778600i
$645$	0.495215	+	0.681801i	0.0194991	+	0.0268459i
$646$	0.676733	+	9.08395i	0.0266257	+	0.357403i
$647$	26.6464	−	26.6464i	1.04758	−	1.04758i	0.0487659	−	0.998810i	$-0.484471\pi$
$647$	26.6464	−	26.6464i	1.04758	−	1.04758i	0.998810	−	0.0487659i	$-0.0155288\pi$
$648$	21.2487	+	13.3905i	0.834726	+	0.526030i
$649$		−	9.15870i		−	0.359510i
$650$	3.41150	−	13.9362i	0.133810	−	0.546621i
$651$	−0.577324			−0.0226271
$652$	11.1823	+	8.26807i	0.437931	+	0.323803i
$653$	−32.3188	−	32.3188i	−1.26473	−	1.26473i	−0.948773	−	0.315958i	$-0.897674\pi$
$653$	−32.3188	−	32.3188i	−1.26473	−	1.26473i	−0.315958	−	0.948773i	$-0.602326\pi$
$654$	−0.137906	−	1.85115i	−0.00539255	−	0.0723855i
$655$	−17.3238	+	12.5828i	−0.676897	+	0.491652i
$656$	19.8838	−	6.09509i	0.776334	−	0.237973i
$657$	−26.2019	−	26.2019i	−1.02223	−	1.02223i
$658$	−31.5611	−	27.1847i	−1.23038	−	1.05977i
$659$			38.2660i			1.49063i	0.666711	+	0.745316i	$0.267702\pi$
$659$			38.2660i			1.49063i	−0.666711	+	0.745316i	$0.732298\pi$
$660$	0.869602	+	0.00738863i	0.0338492	+	0.000287602i
$661$			39.1924i			1.52441i	0.647336	+	0.762204i	$0.275883\pi$
$661$			39.1924i			1.52441i	−0.647336	+	0.762204i	$0.724117\pi$
$662$	12.9637	−	15.0507i	0.503847	−	0.584961i
$663$	1.06864	+	1.06864i	0.0415026	+	0.0415026i
$664$	−48.4137	+	10.9830i	−1.87882	+	0.426222i
$665$	5.35321	+	0.848619i	0.207589	+	0.0329080i
$666$	−25.3670	+	1.88978i	−0.982951	+	0.0732276i
$667$	0.145437	+	0.145437i	0.00563133	+	0.00563133i
$668$	−32.6809	−	24.1640i	−1.26446	−	0.934933i
$669$	2.66994			0.103226
$670$	−8.75156	+	7.40944i	−0.338102	+	0.286252i
$671$		−	11.0089i		−	0.424994i
$672$	−1.45187	−	0.637247i	−0.0560072	−	0.0245823i
$673$	23.4605	−	23.4605i	0.904336	−	0.904336i	−0.0914717	−	0.995808i	$-0.529157\pi$
$673$	23.4605	−	23.4605i	0.904336	−	0.904336i	0.995808	+	0.0914717i	$0.0291571\pi$
$674$	14.5409	−	1.08326i	0.560093	−	0.0417256i
$675$	3.08450	−	1.57056i	0.118722	−	0.0604510i
$676$	−17.5697	+	2.63241i	−0.675758	+	0.101247i
$677$	−29.4622	+	29.4622i	−1.13232	+	1.13232i	−0.142533	+	0.989790i	$0.545525\pi$
$677$	−29.4622	+	29.4622i	−1.13232	+	1.13232i	−0.989790	+	0.142533i	$0.954475\pi$
$678$	−1.98374	−	1.70866i	−0.0761849	−	0.0656207i
$679$	−33.3896			−1.28138
$680$	30.6390	+	26.8472i	1.17495	+	1.02954i
$681$	−0.999403			−0.0382972
$682$	3.71146	+	3.19681i	0.142119	+	0.122412i
$683$	8.73981	−	8.73981i	0.334419	−	0.334419i	−0.519843	−	0.854262i	$-0.674009\pi$
$683$	8.73981	−	8.73981i	0.334419	−	0.334419i	0.854262	+	0.519843i	$0.174009\pi$
$684$	0.885075	+	5.90732i	0.0338417	+	0.225872i
$685$	−12.6998	−	2.01324i	−0.485234	−	0.0769218i
$686$	−27.7737	+	2.06908i	−1.06040	+	0.0789977i
$687$	0.801306	−	0.801306i	0.0305717	−	0.0305717i
$688$	−6.11153	+	11.5145i	−0.233000	+	0.438987i
$689$			5.85813i			0.223177i
$690$	−0.0124724	+	0.150185i	−0.000474816	+	0.00571745i
$691$	−33.2858			−1.26625			−0.633126	−	0.774049i	$-0.718229\pi$
$691$	−33.2858			−1.26625			−0.633126	+	0.774049i	$0.718229\pi$
$692$	3.01122	−	4.07256i	0.114469	−	0.154815i
$693$	−8.60827	−	8.60827i	−0.327001	−	0.327001i
$694$	20.7329	−	1.54455i	0.787009	−	0.0586303i
$695$	16.6257	+	22.8899i	0.630649	+	0.868265i
$696$	−0.159184	+	0.0361119i	−0.00603384	+	0.00136882i
$697$	−23.6804	−	23.6804i	−0.896957	−	0.896957i
$698$	25.1482	−	29.1967i	0.951872	−	1.10511i
$699$			1.44655i			0.0547137i
$700$	19.7322	−	14.0776i	0.745808	−	0.532084i
$701$		−	16.1577i		−	0.610268i	−0.952309	−	0.305134i	$-0.901299\pi$
$701$		−	16.1577i		−	0.610268i	0.952309	−	0.305134i	$-0.0987012\pi$
$702$	1.50512	+	1.29641i	0.0568072	+	0.0489300i
$703$	−4.25853	−	4.25853i	−0.160613	−	0.160613i
$704$	5.80507	+	12.1361i	0.218787	+	0.457398i
$705$	−1.84647	−	2.54218i	−0.0695420	−	0.0957439i
$706$	−2.15034	−	28.8645i	−0.0809291	−	1.08633i
$707$	2.51584	+	2.51584i	0.0946181	+	0.0946181i
$708$	−0.748851	+	1.01279i	−0.0281435	+	0.0380631i
$709$	−34.4178			−1.29259			−0.646294	−	0.763089i	$-0.723682\pi$
$709$	−34.4178			−1.29259			−0.646294	+	0.763089i	$0.723682\pi$
$710$	26.8361	+	2.22865i	1.00714	+	0.0836399i
$711$		−	2.12912i		−	0.0798483i
$712$	16.9412	−	26.8830i	0.634899	−	1.00748i
$713$	−0.600239	+	0.600239i	−0.0224791	+	0.0224791i
$714$	0.189682	+	2.54615i	0.00709868	+	0.0952872i
$715$	−7.53567	−	1.19459i	−0.281818	−	0.0446753i
$716$	−20.6691	+	3.09678i	−0.772439	+	0.115732i
$717$	−1.14897	+	1.14897i	−0.0429091	+	0.0429091i
$718$	0.129197	−	0.149996i	0.00482159	−	0.00559781i
$719$	−24.1031			−0.898893			−0.449446	−	0.893307i	$-0.648379\pi$
$719$	−24.1031			−0.898893			−0.449446	+	0.893307i	$0.648379\pi$
$720$	21.3437	+	16.0637i	0.795434	+	0.598657i
$721$	−28.8416			−1.07412
$722$	−0.922945	+	1.07153i	−0.0343484	+	0.0398782i
$723$	−0.485234	+	0.485234i	−0.0180461	+	0.0180461i
$724$	−37.2741	+	5.58467i	−1.38528	+	0.207553i
$725$	0.771755	−	2.37300i	0.0286623	−	0.0881310i
$726$	0.0992843	+	1.33272i	0.00368479	+	0.0494618i
$727$	8.09087	−	8.09087i	0.300074	−	0.300074i	−0.540969	−	0.841043i	$-0.681942\pi$
$727$	8.09087	−	8.09087i	0.300074	−	0.300074i	0.841043	+	0.540969i	$0.181942\pi$
$728$	11.7690	+	7.41664i	0.436190	+	0.274879i
$729$		−	26.2806i		−	0.973356i
$730$	−25.3516	−	29.9437i	−0.938306	−	1.10827i
$731$	20.9915			0.776398
$732$	−0.900130	+	1.21739i	−0.0332698	+	0.0449961i
$733$	15.1974	+	15.1974i	0.561330	+	0.561330i	0.929685	−	0.368355i	$-0.120079\pi$
$733$	15.1974	+	15.1974i	0.561330	+	0.561330i	−0.368355	+	0.929685i	$0.620079\pi$
$734$	−1.03599	−	13.9064i	−0.0382391	−	0.513293i
$735$	−0.287198	−	0.0455282i	−0.0105935	−	0.00167933i
$736$	−2.17204	+	0.846960i	−0.0800625	+	0.0312194i
$737$	4.31183	+	4.31183i	0.158828	+	0.158828i
$738$	−16.6390	−	14.3317i	−0.612489	−	0.527558i
$739$		−	21.5559i		−	0.792948i	−0.918046	−	0.396474i	$-0.870234\pi$
$739$		−	21.5559i		−	0.792948i	0.918046	−	0.396474i	$-0.129766\pi$
$740$	−26.9323	−	0.228832i	−0.990052	−	0.00841204i
$741$			0.234631i			0.00861939i
$742$	−6.45889	+	7.49870i	−0.237113	+	0.275286i
$743$	−24.2464	−	24.2464i	−0.889515	−	0.889515i	0.104961	−	0.994476i	$-0.466528\pi$
$743$	−24.2464	−	24.2464i	−0.889515	−	0.889515i	−0.994476	+	0.104961i	$0.966528\pi$
$744$	−0.149039	−	0.656974i	−0.00546403	−	0.0240858i
$745$	12.5529	−	9.11759i	0.459903	−	0.334043i
$746$	19.3064	−	1.43828i	0.706858	−	0.0526593i
$747$	37.0669	+	37.0669i	1.35621	+	1.35621i
$748$	12.8793	−	17.4188i	0.470915	−	0.636895i
$749$	32.3086			1.18053
$750$	1.69237	−	0.691918i	0.0617968	−	0.0252653i
$751$		−	10.2768i		−	0.375007i	−0.982264	−	0.187504i	$-0.939960\pi$
$751$		−	10.2768i		−	0.375007i	0.982264	−	0.187504i	$-0.0600396\pi$
$752$	22.7876	−	42.9333i	0.830977	−	1.56562i
$753$	−1.17514	+	1.17514i	−0.0428243	+	0.0428243i
$754$	1.42813	−	0.106393i	0.0520096	−	0.00387459i
$755$	−6.23424	−	8.58317i	−0.226887	−	0.312373i
$756$	0.497268	+	3.31895i	0.0180855	+	0.120709i
$757$	−28.3840	+	28.3840i	−1.03163	+	1.03163i	−0.0321496	+	0.999483i	$0.510235\pi$
$757$	−28.3840	+	28.3840i	−1.03163	+	1.03163i	−0.999483	+	0.0321496i	$0.989765\pi$
$758$	9.10857	+	7.84553i	0.330838	+	0.284962i
$759$	0.0801401			0.00290890
$760$	0.416259	+	6.31084i	0.0150993	+	0.228918i
$761$	39.8010			1.44279			0.721393	−	0.692526i	$-0.243502\pi$
$761$	39.8010			1.44279			0.721393	+	0.692526i	$0.243502\pi$
$762$	−1.23844	−	1.06672i	−0.0448641	−	0.0386430i
$763$	−19.4554	+	19.4554i	−0.704334	+	0.704334i
$764$	−41.2391	+	6.17872i	−1.49198	+	0.223538i
$765$	6.73498	−	42.4852i	0.243504	−	1.53606i
$766$	17.0600	−	1.27093i	0.616403	−	0.0459206i
$767$	7.81418	−	7.81418i	0.282154	−	0.282154i
$768$	0.350357	−	1.81669i	0.0126424	−	0.0655541i
$769$		−	33.1667i		−	1.19602i	−0.801488	−	0.598011i	$-0.795958\pi$
$769$		−	33.1667i		−	1.19602i	0.801488	−	0.598011i	$-0.204042\pi$
$770$	−8.32893	−	9.83760i	−0.300154	−	0.354523i
$771$	0.0849916			0.00306090
$772$	36.2257	+	26.7850i	1.30379	+	0.964013i
$773$	−8.28210	−	8.28210i	−0.297886	−	0.297886i	0.542299	−	0.840186i	$-0.317554\pi$
$773$	−8.28210	−	8.28210i	−0.297886	−	0.297886i	−0.840186	+	0.542299i	$0.817554\pi$
$774$	13.7270	−	1.02263i	0.493407	−	0.0367577i
$775$	9.79372	+	3.18515i	0.351801	+	0.114414i
$776$	−8.61969	−	37.9962i	−0.309429	−	1.36398i
$777$	−1.19363	−	1.19363i	−0.0428212	−	0.0428212i
$778$	10.1952	−	11.8365i	0.365515	−	0.424358i
$779$		−	5.19926i		−	0.186283i
$780$	0.735638	+	0.748246i	0.0263401	+	0.0267915i
$781$		−	14.3200i		−	0.512410i
$782$	2.84442	+	2.45000i	0.101716	+	0.0876118i
$783$	0.244297	+	0.244297i	0.00873046	+	0.00873046i
$784$	−1.31836	−	4.30086i	−0.0470844	−	0.153602i
$785$	3.85274	−	24.3036i	0.137510	−	0.867433i
$786$	−0.116333	−	1.56157i	−0.00414946	−	0.0556992i
$787$	−31.5765	−	31.5765i	−1.12558	−	1.12558i	−0.990887	−	0.134694i	$-0.956995\pi$
$787$	−31.5765	−	31.5765i	−1.12558	−	1.12558i	−0.134694	−	0.990887i	$-0.543005\pi$
$788$	5.62943	+	4.16236i	0.200540	+	0.148278i
$789$	1.19401			0.0425078
$790$	0.186573	−	2.24661i	0.00663798	−	0.0799306i
$791$			38.8069i			1.37981i
$792$	7.57364	−	12.0182i	0.269118	−	0.427047i
$793$	9.39277	−	9.39277i	0.333547	−	0.333547i
$794$	−0.879558	−	11.8065i	−0.0312143	−	0.418998i
$795$	−0.604004	+	0.438708i	−0.0214218	+	0.0155594i
$796$	−4.42788	−	29.5533i	−0.156942	−	1.04749i
$797$	24.0274	−	24.0274i	0.851096	−	0.851096i	−0.139172	−	0.990268i	$-0.544444\pi$
$797$	24.0274	−	24.0274i	0.851096	−	0.851096i	0.990268	+	0.139172i	$0.0444442\pi$
$798$	−0.258693	+	0.300340i	−0.00915764	+	0.0106319i
$799$	−78.2692			−2.76897
$800$	21.1138	+	18.8204i	0.746486	+	0.665401i
$801$	−33.5531			−1.18554
$802$	11.1483	−	12.9430i	0.393659	−	0.457034i
$803$	−14.7531	+	14.7531i	−0.520624	+	0.520624i
$804$	−0.124261	−	0.829364i	−0.00438235	−	0.0292494i
$805$	1.80732	−	1.31271i	0.0636995	−	0.0462670i
$806$	0.439098	+	5.89412i	0.0154666	+	0.207611i
$807$	2.55995	−	2.55995i	0.0901143	−	0.0901143i
$808$	−2.21347	+	3.51242i	−0.0778694	+	0.123567i
$809$		−	28.8766i		−	1.01525i	−0.861579	−	0.507624i	$-0.830524\pi$
$809$		−	28.8766i		−	1.01525i	0.861579	−	0.507624i	$-0.169476\pi$
$810$	2.32400	−	27.9842i	0.0816569	−	0.983264i
$811$	38.5975			1.35534			0.677670	−	0.735366i	$-0.262990\pi$
$811$	38.5975			1.35534			0.677670	+	0.735366i	$0.262990\pi$
$812$	1.94539	+	1.43840i	0.0682697	+	0.0504781i
$813$	−0.465435	−	0.465435i	−0.0163235	−	0.0163235i
$814$	1.06405	+	14.2830i	0.0372949	+	0.500618i
$815$	2.43442	−	15.3567i	0.0852742	−	0.537922i
$816$	−2.84846	+	0.873152i	−0.0997161	+	0.0305664i
$817$	2.30445	+	2.30445i	0.0806223	+	0.0806223i
$818$	4.64830	+	4.00375i	0.162524	+	0.139988i
$819$		−	14.6891i		−	0.513279i
$820$	−16.3012	−	16.5806i	−0.569264	−	0.579020i
$821$		−	26.9264i		−	0.939739i	−0.882736	−	0.469870i	$-0.844301\pi$
$821$		−	26.9264i		−	0.939739i	0.882736	−	0.469870i	$-0.155699\pi$
$822$	0.613715	−	0.712516i	0.0214058	−	0.0248519i
$823$	−27.4545	−	27.4545i	−0.957005	−	0.957005i	0.0421084	−	0.999113i	$-0.486593\pi$
$823$	−27.4545	−	27.4545i	−0.957005	−	0.957005i	−0.999113	+	0.0421084i	$0.986593\pi$
$824$	−7.44561	−	32.8208i	−0.259380	−	1.14337i
$825$	−0.441168	−	0.866428i	−0.0153595	−	0.0301652i
$826$	18.6181	−	1.38700i	0.647806	−	0.0482601i
$827$	−5.55262	−	5.55262i	−0.193083	−	0.193083i	0.603944	−	0.797027i	$-0.293595\pi$
$827$	−5.55262	−	5.55262i	−0.193083	−	0.193083i	−0.797027	+	0.603944i	$0.793595\pi$
$828$	1.97942	+	1.46357i	0.0687895	+	0.0508624i
$829$	38.8189			1.34824			0.674118	−	0.738624i	$-0.264524\pi$
$829$	38.8189			1.34824			0.674118	+	0.738624i	$0.264524\pi$
$830$	35.8641	+	42.3604i	1.24486	+	1.47035i
$831$			0.476778i			0.0165393i
$832$	−5.40164	+	15.3074i	−0.187268	+	0.530688i
$833$	−5.12204	+	5.12204i	−0.177468	+	0.177468i
$834$	−2.06330	+	0.153711i	−0.0714462	+	0.00532257i
$835$	−7.11477	+	44.8810i	−0.246217	+	1.55317i
$836$	3.32614	−	0.498345i	0.115037	−	0.0172356i
$837$	−1.00825	+	1.00825i	−0.0348502	+	0.0348502i
$838$	−11.6801	−	10.0605i	−0.403482	−	0.347533i
$839$	−26.9953			−0.931982			−0.465991	−	0.884789i	$-0.654302\pi$
$839$	−26.9953			−0.931982			−0.465991	+	0.884789i	$0.654302\pi$
$840$	0.116674	+	1.76887i	0.00402562	+	0.0610319i
$841$	−28.7509			−0.991411
$842$	29.0175	+	24.9938i	1.00001	+	0.861344i
$843$	0.362060	−	0.362060i	0.0124700	−	0.0124700i
$844$	0.751025	+	5.01262i	0.0258513	+	0.172541i
$845$	11.6728	+	16.0709i	0.401558	+	0.552857i
$846$	−51.1828	+	3.81300i	−1.75970	+	0.131094i
$847$	14.0068	−	14.0068i	0.481279	−	0.481279i
$848$	−10.2007	−	5.41417i	−0.350292	−	0.185923i
$849$			2.21943i			0.0761706i
$850$	10.8296	−	44.2394i	0.371451	−	1.51740i
$851$	−2.48201			−0.0850823
$852$	−1.17086	+	1.58354i	−0.0401129	+	0.0542512i
$853$	−10.6243	−	10.6243i	−0.363770	−	0.363770i	0.501429	−	0.865199i	$-0.332808\pi$
$853$	−10.6243	−	10.6243i	−0.363770	−	0.363770i	−0.865199	+	0.501429i	$0.832808\pi$
$854$	22.3792	−	1.66720i	0.765802	−	0.0570505i
$855$	5.40340	−	3.92467i	0.184792	−	0.134221i
$856$	8.34062	+	36.7661i	0.285077	+	1.25664i
$857$	26.6560	+	26.6560i	0.910552	+	0.910552i	0.996315	−	0.0857639i	$-0.0273331\pi$
$857$	26.6560	+	26.6560i	0.910552	+	0.910552i	−0.0857639	+	0.996315i	$0.527333\pi$
$858$	0.364160	−	0.422786i	0.0124322	−	0.0144337i
$859$			18.8892i			0.644491i	0.946656	+	0.322246i	$0.104438\pi$
$859$			18.8892i			0.644491i	−0.946656	+	0.322246i	$0.895562\pi$
$860$	14.5741	+	0.123830i	0.496972	+	0.00422255i
$861$		−	1.45731i		−	0.0496649i
$862$	−25.5998	−	22.0500i	−0.871932	−	0.751026i
$863$	25.1352	+	25.1352i	0.855611	+	0.855611i	0.990817	−	0.135207i	$-0.0431699\pi$
$863$	25.1352	+	25.1352i	0.855611	+	0.855611i	−0.135207	+	0.990817i	$0.543170\pi$
$864$	−3.64848	+	1.42268i	−0.124124	+	0.0484005i
$865$	−5.59288	−	0.886613i	−0.190164	−	0.0301457i
$866$	−3.52757	−	47.3513i	−0.119872	−	1.60906i
$867$	2.00230	+	2.00230i	0.0680016	+	0.0680016i
$868$	−5.93650	+	8.02890i	−0.201498	+	0.272519i
$869$	−1.19881			−0.0406668
$870$	0.117921	+	0.139280i	0.00399789	+	0.00472205i
$871$			7.35768i			0.249306i
$872$	−27.1621	−	17.1171i	−0.919826	−	0.579658i
$873$	−29.0910	+	29.0910i	−0.984581	+	0.984581i
$874$	0.0432997	+	0.581222i	0.00146463	+	0.0196601i
$875$	−24.1415	−	12.3132i	−0.816130	−	0.416263i
$876$	2.83770	−	0.425163i	0.0958769	−	0.0143649i
$877$	−9.15127	+	9.15127i	−0.309016	+	0.309016i	−0.844528	−	0.535512i	$-0.820119\pi$
$877$	−9.15127	+	9.15127i	−0.309016	+	0.309016i	0.535512	+	0.844528i	$0.320119\pi$
$878$	−14.4177	+	16.7388i	−0.486575	+	0.564908i
$879$	−3.21187			−0.108334
$880$	9.04469	−	12.0177i	0.304897	−	0.405115i
$881$	22.3071			0.751545			0.375773	−	0.926712i	$-0.377377\pi$
$881$	22.3071			0.751545			0.375773	+	0.926712i	$0.377377\pi$
$882$	−3.09994	+	3.59899i	−0.104380	+	0.121184i
$883$	23.4882	−	23.4882i	0.790440	−	0.790440i	−0.191125	−	0.981566i	$-0.561214\pi$
$883$	23.4882	−	23.4882i	0.790440	−	0.790440i	0.981566	+	0.191125i	$0.0612137\pi$
$884$	25.8503	−	3.87307i	0.869441	−	0.130266i
$885$	1.39088	+	0.220489i	0.0467538	+	0.00741166i
$886$	−0.901090	−	12.0955i	−0.0302727	−	0.406358i
$887$	−5.01730	+	5.01730i	−0.168464	+	0.168464i	−0.786304	−	0.617840i	$-0.788008\pi$
$887$	−5.01730	+	5.01730i	−0.168464	+	0.168464i	0.617840	+	0.786304i	$0.288008\pi$
$888$	1.05017	−	1.66645i	0.0352413	−	0.0559223i
$889$			24.2271i			0.812551i
$890$	−35.4046	−	2.94024i	−1.18676	−	0.0985569i
$891$	−14.9326			−0.500261
$892$	27.4544	−	37.1311i	0.919242	−	1.24324i
$893$	−8.59240	−	8.59240i	−0.287534	−	0.287534i
$894$	0.0842955	+	1.13152i	0.00281926	+	0.0378437i
$895$	13.7320	+	18.9059i	0.459009	+	0.631955i
$896$	−23.7916	+	13.6386i	−0.794821	+	0.455635i
$897$	0.0683754	+	0.0683754i	0.00228299	+	0.00228299i
$898$	6.78510	+	5.84424i	0.226422	+	0.195025i
$899$			1.02795i			0.0342839i
$900$	4.92662	−	29.4571i	0.164221	−	0.981905i
$901$			18.5962i			0.619530i
$902$	−8.06953	+	9.36863i	−0.268686	+	0.311941i
$903$	0.645915	+	0.645915i	0.0214947	+	0.0214947i
$904$	−44.1609	+	10.0182i	−1.46877	+	0.333200i
$905$	24.7639	+	34.0945i	0.823181	+	1.13334i
$906$	0.773687	−	0.0576379i	0.0257040	−	0.00191489i
$907$	−15.1970	−	15.1970i	−0.504608	−	0.504608i	0.408259	−	0.912866i	$-0.366136\pi$
$907$	−15.1970	−	15.1970i	−0.504608	−	0.504608i	−0.912866	+	0.408259i	$0.866136\pi$
$908$	−10.2767	+	13.8988i	−0.341043	+	0.461248i
$909$	4.38391			0.145405
$910$	1.28720	−	15.4997i	0.0426701	−	0.513808i
$911$			60.0386i			1.98917i	0.103942	+	0.994583i	$0.466855\pi$
$911$			60.0386i			1.98917i	−0.103942	+	0.994583i	$0.533145\pi$
$912$	−0.408559	−	0.216850i	−0.0135287	−	0.00718061i
$913$	20.8707	−	20.8707i	0.690718	−	0.690718i
$914$	12.6137	−	0.939694i	0.417225	−	0.0310823i
$915$	1.67186	+	0.265031i	0.0552699	+	0.00876167i
$916$	−2.90417	−	19.3835i	−0.0959565	−	0.640449i
$917$	−16.4120	+	16.4120i	−0.541971	+	0.541971i
$918$	4.77791	+	4.11538i	0.157694	+	0.135828i
$919$	−35.6594			−1.17630			−0.588148	−	0.808753i	$-0.700143\pi$
$919$	−35.6594			−1.17630			−0.588148	+	0.808753i	$0.700143\pi$
$920$	1.96039	+	1.71778i	0.0646321	+	0.0566335i
$921$	4.01340			0.132246
$922$	24.8083	+	21.3683i	0.817018	+	0.703726i
$923$	12.2178	−	12.2178i	0.402153	−	0.402153i
$924$	0.932286	−	0.139682i	0.0306700	−	0.00459518i
$925$	13.6634	+	26.8341i	0.449248	+	0.882298i
$926$	39.7557	−	2.96171i	1.30645	−	0.0973278i
$927$	−25.1285	+	25.1285i	−0.825329	+	0.825329i
$928$	−1.13464	+	2.58511i	−0.0372464	+	0.0848605i
$929$			33.2135i			1.08970i	0.838533	+	0.544850i	$0.183414\pi$
$929$			33.2135i			1.08970i	−0.838533	+	0.544850i	$0.816586\pi$
$930$	−0.574831	+	0.486676i	−0.0188495	+	0.0159587i
$931$	−1.12460			−0.0368571
$932$	20.1174	+	14.8746i	0.658967	+	0.487235i
$933$	−1.77991	−	1.77991i	−0.0582716	−	0.0582716i
$934$	−23.1273	+	1.72293i	−0.756749	+	0.0563760i
$935$	−23.9215	−	3.79215i	−0.782315	−	0.124017i
$936$	16.7157	−	3.79207i	0.546370	−	0.123948i
$937$	0.950228	+	0.950228i	0.0310426	+	0.0310426i	0.722458	−	0.691415i	$-0.243012\pi$
$937$	0.950228	+	0.950228i	0.0310426	+	0.0310426i	−0.691415	+	0.722458i	$0.743012\pi$
$938$	−8.11223	+	9.41821i	−0.264874	+	0.307515i
$939$			2.33575i			0.0762243i
$940$	−54.3412	−	0.461713i	−1.77241	−	0.0150594i
$941$		−	35.6587i		−	1.16244i	−0.813746	−	0.581221i	$-0.802575\pi$
$941$		−	35.6587i		−	1.16244i	0.813746	−	0.581221i	$-0.197425\pi$
$942$	1.36355	+	1.17447i	0.0444267	+	0.0382663i
$943$	−1.51515	−	1.51515i	−0.0493401	−	0.0493401i
$944$	6.38472	+	20.8287i	0.207805	+	0.677916i
$945$	3.03583	−	2.20502i	0.0987556	−	0.0717294i
$946$	−0.575795	−	7.72904i	−0.0187207	−	0.251293i
$947$	−15.3043	−	15.3043i	−0.497321	−	0.497321i	0.413282	−	0.910603i	$-0.364382\pi$
$947$	−15.3043	−	15.3043i	−0.497321	−	0.497321i	−0.910603	+	0.413282i	$0.864382\pi$
$948$	0.132567	+	0.0980192i	0.00430559	+	0.00318352i
$949$	−25.1746			−0.817201
$950$	6.04547	−	3.66773i	0.196141	−	0.118997i
$951$		−	2.38943i		−	0.0774825i
$952$	37.3600	+	23.5436i	1.21084	+	0.763053i
$953$	17.6358	−	17.6358i	0.571280	−	0.571280i	−0.361206	−	0.932486i	$-0.617635\pi$
$953$	17.6358	−	17.6358i	0.571280	−	0.571280i	0.932486	+	0.361206i	$0.117635\pi$
$954$	0.905943	+	12.1607i	0.0293310	+	0.393717i
$955$	27.3982	+	37.7212i	0.886584	+	1.22063i
$956$	4.16421	+	27.7935i	0.134680	+	0.898905i
$957$	0.0686224	−	0.0686224i	0.00221825	−	0.00221825i
$958$	23.2614	−	27.0062i	0.751542	−	0.872532i
$959$	−13.9386			−0.450102
$960$	−1.98280	+	0.589414i	−0.0639944	+	0.0190232i
$961$	26.7575			0.863146
$962$	−11.2784	+	13.0940i	−0.363629	+	0.422169i
$963$	28.1492	−	28.1492i	0.907094	−	0.907094i
$964$	1.75863	+	11.7378i	0.0566417	+	0.378048i
$965$	7.88649	−	49.7491i	0.253875	−	1.60148i
$966$	0.0121365	+	0.162911i	0.000390486	+	0.00524159i
$967$	5.06230	−	5.06230i	0.162793	−	0.162793i	−0.621010	−	0.783803i	$-0.713277\pi$
$967$	5.06230	−	5.06230i	0.162793	−	0.162793i	0.783803	+	0.621010i	$0.213277\pi$
$968$	19.5552	+	12.3233i	0.628526	+	0.396086i
$969$			0.744821i			0.0239271i
$970$	−33.2454	+	28.1470i	−1.06745	+	0.903746i
$971$	−47.9083			−1.53745			−0.768725	−	0.639579i	$-0.779109\pi$
$971$	−47.9083			−1.53745			−0.768725	+	0.639579i	$0.779109\pi$
$972$	4.99109	+	3.69037i	0.160089	+	0.118369i
$973$	21.6851	+	21.6851i	0.695194	+	0.695194i
$974$	1.75282	+	23.5285i	0.0561638	+	0.753901i
$975$	0.362832	−	1.11564i	0.0116199	−	0.0357290i
$976$	7.67453	+	25.0364i	0.245656	+	0.801396i
$977$	−8.23886	−	8.23886i	−0.263584	−	0.263584i	0.562924	−	0.826509i	$-0.309676\pi$
$977$	−8.23886	−	8.23886i	−0.263584	−	0.263584i	−0.826509	+	0.562924i	$0.809676\pi$
$978$	0.861582	+	0.742110i	0.0275503	+	0.0237301i
$979$			18.8922i			0.603797i
$980$	−3.58637	+	3.52594i	−0.114562	+	0.112632i
$981$			33.9015i			1.08239i
$982$	−24.2520	+	28.1562i	−0.773911	+	0.898502i
$983$	17.5737	+	17.5737i	0.560513	+	0.560513i	0.929453	−	0.368940i	$-0.120279\pi$
$983$	17.5737	+	17.5737i	0.560513	+	0.560513i	−0.368940	+	0.929453i	$0.620279\pi$
$984$	1.65836	−	0.376211i	0.0528667	−	0.0119932i
$985$	1.22555	−	7.73095i	0.0390493	−	0.246329i
$986$	4.53351	−	0.337736i	0.144376	−	0.0107557i
$987$	−2.40837	−	2.40837i	−0.0766594	−	0.0766594i
$988$	3.26304	+	2.41267i	0.103811	+	0.0767571i
$989$	1.34311			0.0427083
$990$	−15.8278	−	1.31444i	−0.503039	−	0.0417758i
$991$			37.6241i			1.19517i	0.801806	+	0.597585i	$0.203873\pi$
$991$			37.6241i			1.19517i	−0.801806	+	0.597585i	$0.796127\pi$
$992$	−10.6691	−	4.68284i	−0.338746	−	0.148680i
$993$	1.14849	−	1.14849i	0.0364463	−	0.0364463i
$994$	29.1101	−	2.16864i	0.923317	−	0.0687850i
$995$	−27.0323	+	19.6344i	−0.856982	+	0.622454i
$996$	−4.01439	+	0.601464i	−0.127201	+	0.0190581i
$997$	−1.69631	+	1.69631i	−0.0537228	+	0.0537228i	−0.733458	−	0.679735i	$-0.762095\pi$
$997$	−1.69631	+	1.69631i	−0.0537228	+	0.0537228i	0.679735	+	0.733458i	$0.262095\pi$
$998$	30.6473	+	26.3976i	0.970125	+	0.835602i
$999$	−4.16915			−0.131906

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	760.2.w.d.267.40	yes	108
5.3	odd	4	inner	760.2.w.d.723.12	yes	108
8.3	odd	2	inner	760.2.w.d.267.12	✓	108
40.3	even	4	inner	760.2.w.d.723.40	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
760.2.w.d.267.12	✓	108	8.3	odd	2	inner
760.2.w.d.267.40	yes	108	1.1	even	1	trivial
760.2.w.d.723.12	yes	108	5.3	odd	4	inner
760.2.w.d.723.40	yes	108	40.3	even	4	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:	\( N \)	\(=\)	\( 760 = 2^{3} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	760.w (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.922945 - 1.07153i) q^{2} +(0.0817665 - 0.0817665i) q^{3} +(-0.296346 - 1.97792i) q^{4} +(-1.80920 + 1.31408i) q^{5} +(-0.0121492 - 0.163081i) q^{6} +(-1.71397 + 1.71397i) q^{7} +(-2.39291 - 1.50797i) q^{8} +2.98663i q^{9} +O(q^{10})\)	\(q+(0.922945 - 1.07153i) q^{2} +(0.0817665 - 0.0817665i) q^{3} +(-0.296346 - 1.97792i) q^{4} +(-1.80920 + 1.31408i) q^{5} +(-0.0121492 - 0.163081i) q^{6} +(-1.71397 + 1.71397i) q^{7} +(-2.39291 - 1.50797i) q^{8} +2.98663i q^{9} +(-0.261716 + 3.15143i) q^{10} +1.68163 q^{11} +(-0.185959 - 0.137497i) q^{12} +(1.43476 + 1.43476i) q^{13} +(0.254668 + 3.41847i) q^{14} +(-0.0404841 + 0.255379i) q^{15} +(-3.82436 + 1.17230i) q^{16} +(4.55456 + 4.55456i) q^{17} +(3.20026 + 2.75649i) q^{18} +1.00000i q^{19} +(3.13530 + 3.18903i) q^{20} +0.280291i q^{21} +(1.55205 - 1.80192i) q^{22} +(0.291416 + 0.291416i) q^{23} +(-0.318961 + 0.0723585i) q^{24} +(1.54639 - 4.75486i) q^{25} +(2.86160 - 0.213182i) q^{26} +(0.489506 + 0.489506i) q^{27} +(3.89803 + 2.88218i) q^{28} +0.499068 q^{29} +(0.236282 + 0.279081i) q^{30} +2.05973i q^{31} +(-2.27352 + 5.17988i) q^{32} +(0.137501 - 0.137501i) q^{33} +(9.08395 - 0.676733i) q^{34} +(0.848619 - 5.35321i) q^{35} +(5.90732 - 0.885075i) q^{36} +(-4.25853 + 4.25853i) q^{37} +(1.07153 + 0.922945i) q^{38} +0.234631 q^{39} +(6.31084 - 0.416259i) q^{40} -5.19926 q^{41} +(0.300340 + 0.258693i) q^{42} +(2.30445 - 2.30445i) q^{43} +(-0.498345 - 3.32614i) q^{44} +(-3.92467 - 5.40340i) q^{45} +(0.581222 - 0.0432997i) q^{46} +(-8.59240 + 8.59240i) q^{47} +(-0.216850 + 0.408559i) q^{48} +1.12460i q^{49} +(-3.66773 - 6.04547i) q^{50} +0.744821 q^{51} +(2.41267 - 3.26304i) q^{52} +(2.04150 + 2.04150i) q^{53} +(0.976306 - 0.0727325i) q^{54} +(-3.04240 + 2.20980i) q^{55} +(6.68600 - 1.51676i) q^{56} +(0.0817665 + 0.0817665i) q^{57} +(0.460613 - 0.534766i) q^{58} -5.44632i q^{59} +(0.517118 + 0.00439373i) q^{60} -6.54656i q^{61} +(2.20706 + 1.90102i) q^{62} +(-5.11900 - 5.11900i) q^{63} +(3.45205 + 7.21688i) q^{64} +(-4.48117 - 0.710378i) q^{65} +(-0.0204304 - 0.274242i) q^{66} +(2.56407 + 2.56407i) q^{67} +(7.65884 - 10.3583i) q^{68} +0.0476562 q^{69} +(-4.95289 - 5.85004i) q^{70} -8.51554i q^{71} +(4.50375 - 7.14674i) q^{72} +(-8.77306 + 8.77306i) q^{73} +(0.632748 + 8.49352i) q^{74} +(-0.262345 - 0.515231i) q^{75} +(1.97792 - 0.296346i) q^{76} +(-2.88227 + 2.88227i) q^{77} +(0.216552 - 0.251414i) q^{78} -0.712885 q^{79} +(5.37853 - 7.14643i) q^{80} -8.87984 q^{81} +(-4.79863 + 5.57116i) q^{82} +(12.4110 - 12.4110i) q^{83} +(0.554394 - 0.0830631i) q^{84} +(-14.2251 - 2.25505i) q^{85} +(-0.342403 - 4.59615i) q^{86} +(0.0408071 - 0.0408071i) q^{87} +(-4.02399 - 2.53585i) q^{88} +11.2344i q^{89} +(-9.41215 - 0.781649i) q^{90} -4.91829 q^{91} +(0.490039 - 0.662759i) q^{92} +(0.168417 + 0.168417i) q^{93} +(1.27669 + 17.1373i) q^{94} +(-1.31408 - 1.80920i) q^{95} +(0.237642 + 0.609438i) q^{96} +(9.74041 + 9.74041i) q^{97} +(1.20504 + 1.03794i) q^{98} +5.02241i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q + 8 q^{6}+O(q^{10}) \) 108 * q + 8 * q^6	\( 108 q + 8 q^{6} + 8 q^{10} + 18 q^{12} + 16 q^{16} + 4 q^{17} - 36 q^{22} - 4 q^{25} - 40 q^{26} + 16 q^{28} - 12 q^{30} - 10 q^{32} + 24 q^{35} - 80 q^{36} + 28 q^{40} + 108 q^{42} - 32 q^{43} + 64 q^{46} - 26 q^{48} - 28 q^{50} + 34 q^{52} - 12 q^{56} - 58 q^{60} - 92 q^{62} - 4 q^{65} - 92 q^{66} + 40 q^{68} + 28 q^{70} - 68 q^{72} - 20 q^{73} + 12 q^{78} + 56 q^{80} - 92 q^{81} + 44 q^{82} + 72 q^{83} + 40 q^{86} - 40 q^{88} + 4 q^{90} + 32 q^{91} + 24 q^{92} + 124 q^{96} - 84 q^{97} + 76 q^{98}+O(q^{100}) \) 108 * q + 8 * q^6 + 8 * q^10 + 18 * q^12 + 16 * q^16 + 4 * q^17 - 36 * q^22 - 4 * q^25 - 40 * q^26 + 16 * q^28 - 12 * q^30 - 10 * q^32 + 24 * q^35 - 80 * q^36 + 28 * q^40 + 108 * q^42 - 32 * q^43 + 64 * q^46 - 26 * q^48 - 28 * q^50 + 34 * q^52 - 12 * q^56 - 58 * q^60 - 92 * q^62 - 4 * q^65 - 92 * q^66 + 40 * q^68 + 28 * q^70 - 68 * q^72 - 20 * q^73 + 12 * q^78 + 56 * q^80 - 92 * q^81 + 44 * q^82 + 72 * q^83 + 40 * q^86 - 40 * q^88 + 4 * q^90 + 32 * q^91 + 24 * q^92 + 124 * q^96 - 84 * q^97 + 76 * q^98

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