LMFDB - Embedded newform 260.2.p.d.103.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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, 3, 2]))

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (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:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			103.3
Character	$\chi$	$=$	260.103
Dual form			260.2.p.d.207.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35124 + 0.417327i) q^{2} +(0.561614 - 0.561614i) q^{3} +(1.65168 - 1.12781i) q^{4} +(-2.09189 + 0.789927i) q^{5} +(-0.524497 + 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +O(q^{10})$	\(q+(-1.35124 + 0.417327i) q^{2} +(0.561614 - 0.561614i) q^{3} +(1.65168 - 1.12781i) q^{4} +(-2.09189 + 0.789927i) q^{5} +(-0.524497 + 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +(2.49698 - 1.94038i) q^{10} +5.21705 q^{11} +(0.294209 - 1.56100i) q^{12} +(1.57435 - 3.24368i) q^{13} +(-1.38883 + 2.63005i) q^{14} +(-0.731203 + 1.61847i) q^{15} +(1.45607 - 3.72557i) q^{16} +(0.793724 - 0.793724i) q^{17} +(-0.988721 - 3.20132i) q^{18} -0.101632i q^{19} +(-2.56424 + 3.66397i) q^{20} -1.67036i q^{21} +(-7.04946 + 2.17721i) q^{22} +(2.99025 - 2.99025i) q^{23} +(0.253901 + 2.23206i) q^{24} +(3.75203 - 3.30488i) q^{25} +(-0.773642 + 5.03999i) q^{26} +(3.01541 + 3.01541i) q^{27} +(0.779042 - 4.13341i) q^{28} +3.15871i q^{29} +(0.312596 - 2.49209i) q^{30} +5.55833 q^{31} +(-0.412721 + 5.64178i) q^{32} +(2.92997 - 2.92997i) q^{33} +(-0.741267 + 1.40375i) q^{34} +(-1.93617 + 4.28558i) q^{35} +(2.67199 + 3.91312i) q^{36} +(-3.25224 - 3.25224i) q^{37} +(0.0424138 + 0.137329i) q^{38} +(-0.937519 - 2.70587i) q^{39} +(1.93582 - 6.02101i) q^{40} +6.47910i q^{41} +(0.697087 + 2.25706i) q^{42} +(-2.45533 + 2.45533i) q^{43} +(8.61688 - 5.88386i) q^{44} +(-1.87148 - 4.95607i) q^{45} +(-2.79263 + 5.28845i) q^{46} +(-3.39043 + 3.39043i) q^{47} +(-1.27458 - 2.91008i) q^{48} +2.57701i q^{49} +(-3.69066 + 6.03150i) q^{50} -0.891534i q^{51} +(-1.05795 - 7.13307i) q^{52} +(-6.94382 - 6.94382i) q^{53} +(-5.33294 - 2.81612i) q^{54} +(-10.9135 + 4.12109i) q^{55} +(0.672311 + 5.91032i) q^{56} +(-0.0570780 - 0.0570780i) q^{57} +(-1.31821 - 4.26816i) q^{58} -10.5517i q^{59} +(0.617623 + 3.49785i) q^{60} -1.49686 q^{61} +(-7.51061 + 2.31964i) q^{62} +(3.52323 + 3.52323i) q^{63} +(-1.79678 - 7.79561i) q^{64} +(-0.731099 + 8.02904i) q^{65} +(-2.73632 + 5.18183i) q^{66} +(-6.37568 + 6.37568i) q^{67} +(0.415803 - 2.20615i) q^{68} -3.35874i q^{69} +(0.827730 - 6.59885i) q^{70} -1.73544 q^{71} +(-5.24354 - 4.17245i) q^{72} +(-5.87285 + 5.87285i) q^{73} +(5.75179 + 3.03730i) q^{74} +(0.251124 - 3.96327i) q^{75} +(-0.114622 - 0.167863i) q^{76} +(7.75832 - 7.75832i) q^{77} +(2.39604 + 3.26502i) q^{78} +1.43236 q^{79} +(-0.103024 + 8.94368i) q^{80} -3.72054 q^{81} +(-2.70390 - 8.75480i) q^{82} +(-10.2973 - 10.2973i) q^{83} +(-1.88386 - 2.75890i) q^{84} +(-1.03340 + 2.28737i) q^{85} +(2.29306 - 4.34241i) q^{86} +(1.77398 + 1.77398i) q^{87} +(-9.18794 + 11.5465i) q^{88} -6.49614 q^{89} +(4.59711 + 5.91580i) q^{90} +(-2.48247 - 7.16493i) q^{91} +(1.56649 - 8.31138i) q^{92} +(3.12164 - 3.12164i) q^{93} +(3.16635 - 5.99618i) q^{94} +(0.0802819 + 0.212603i) q^{95} +(2.93671 + 3.40029i) q^{96} +(6.63009 + 6.63009i) q^{97} +(-1.07545 - 3.48215i) q^{98} +12.3601i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

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 $

$2$	−1.35124	+	0.417327i	−0.955468	+	0.295094i
$2$	−1.35124	+	0.417327i	−0.955468	+	0.295094i
$3$	0.561614	−	0.561614i	0.324248	−	0.324248i	−0.526146	−	0.850394i	$-0.676363\pi$
$3$	0.561614	−	0.561614i	0.324248	−	0.324248i	0.850394	+	0.526146i	$0.176363\pi$
$4$	1.65168	−	1.12781i	0.825838	−	0.563907i
$5$	−2.09189	+	0.789927i	−0.935523	+	0.353266i
$5$	−2.09189	+	0.789927i	−0.935523	+	0.353266i
$6$	−0.524497	+	0.993250i	−0.214125	+	0.405493i
$7$	1.48711	−	1.48711i	0.562075	−	0.562075i	−0.367822	−	0.929896i	$-0.619896\pi$
$7$	1.48711	−	1.48711i	0.562075	−	0.562075i	0.929896	+	0.367822i	$0.119896\pi$
$8$	−1.76114	+	2.21323i	−0.622657	+	0.782495i
$9$			2.36918i			0.789726i
$10$	2.49698	−	1.94038i	0.789615	−	0.613602i
$11$	5.21705			1.57300			0.786499	−	0.617591i	$-0.211891\pi$
$11$	5.21705			1.57300			0.786499	+	0.617591i	$0.211891\pi$
$12$	0.294209	−	1.56100i	0.0849309	−	0.450622i
$13$	1.57435	−	3.24368i	0.436645	−	0.899634i
$13$	1.57435	−	3.24368i	0.436645	−	0.899634i
$14$	−1.38883	+	2.63005i	−0.371179	+	0.702909i
$15$	−0.731203	+	1.61847i	−0.188796	+	0.417887i
$16$	1.45607	−	3.72557i	0.364018	−	0.931392i
$17$	0.793724	−	0.793724i	0.192506	−	0.192506i	−0.604272	−	0.796778i	$-0.706536\pi$
$17$	0.793724	−	0.793724i	0.192506	−	0.192506i	0.796778	+	0.604272i	$0.206536\pi$
$18$	−0.988721	−	3.20132i	−0.233044	−	0.754558i
$19$		−	0.101632i		−	0.0233160i	−0.999932	−	0.0116580i	$-0.996289\pi$
$19$		−	0.101632i		−	0.0233160i	0.999932	−	0.0116580i	$-0.00371094\pi$
$20$	−2.56424	+	3.66397i	−0.573382	+	0.819288i
$21$		−	1.67036i		−	0.364503i
$22$	−7.04946	+	2.17721i	−1.50295	+	0.464183i
$23$	2.99025	−	2.99025i	0.623511	−	0.623511i	−0.322916	−	0.946428i	$-0.604663\pi$
$23$	2.99025	−	2.99025i	0.623511	−	0.623511i	0.946428	+	0.322916i	$0.104663\pi$
$24$	0.253901	+	2.23206i	0.0518274	+	0.455618i
$25$	3.75203	−	3.30488i	0.750406	−	0.660977i
$26$	−0.773642	+	5.03999i	−0.151724	+	0.988423i
$27$	3.01541	+	3.01541i	0.580315	+	0.580315i
$28$	0.779042	−	4.13341i	0.147225	−	0.781141i
$29$			3.15871i			0.586558i	0.956027	+	0.293279i	$0.0947465\pi$
$29$			3.15871i			0.586558i	−0.956027	+	0.293279i	$0.905254\pi$
$30$	0.312596	−	2.49209i	0.0570720	−	0.454991i
$31$	5.55833			0.998305			0.499152	−	0.866514i	$-0.333645\pi$
$31$	5.55833			0.998305			0.499152	+	0.866514i	$0.333645\pi$
$32$	−0.412721	+	5.64178i	−0.0729594	+	0.997335i
$33$	2.92997	−	2.92997i	0.510042	−	0.510042i
$34$	−0.741267	+	1.40375i	−0.127126	+	0.240741i
$35$	−1.93617	+	4.28558i	−0.327272	+	0.724396i
$36$	2.67199	+	3.91312i	0.445332	+	0.652186i
$37$	−3.25224	−	3.25224i	−0.534665	−	0.534665i	0.387292	−	0.921957i	$-0.373411\pi$
$37$	−3.25224	−	3.25224i	−0.534665	−	0.534665i	−0.921957	+	0.387292i	$0.873411\pi$
$38$	0.0424138	+	0.137329i	0.00688042	+	0.0222777i
$39$	−0.937519	−	2.70587i	−0.150123	−	0.433286i
$40$	1.93582	−	6.02101i	0.306080	−	0.952006i
$41$			6.47910i			1.01187i	0.862573	+	0.505933i	$0.168852\pi$
$41$			6.47910i			1.01187i	−0.862573	+	0.505933i	$0.831148\pi$
$42$	0.697087	+	2.25706i	0.107563	+	0.348271i
$43$	−2.45533	+	2.45533i	−0.374435	+	0.374435i	−0.869090	−	0.494655i	$-0.835295\pi$
$43$	−2.45533	+	2.45533i	−0.374435	+	0.374435i	0.494655	+	0.869090i	$0.335295\pi$
$44$	8.61688	−	5.88386i	1.29904	−	0.887025i
$45$	−1.87148	−	4.95607i	−0.278983	−	0.738807i
$46$	−2.79263	+	5.28845i	−0.411750	+	0.779740i
$47$	−3.39043	+	3.39043i	−0.494545	+	0.494545i	−0.909735	−	0.415190i	$-0.863715\pi$
$47$	−3.39043	+	3.39043i	−0.494545	+	0.494545i	0.415190	+	0.909735i	$0.363715\pi$
$48$	−1.27458	−	2.91008i	−0.183970	−	0.420034i
$49$			2.57701i			0.368144i
$50$	−3.69066	+	6.03150i	−0.521939	+	0.852983i
$51$		−	0.891534i		−	0.124840i
$52$	−1.05795	−	7.13307i	−0.146711	−	0.989179i
$53$	−6.94382	−	6.94382i	−0.953807	−	0.953807i	0.0451723	−	0.998979i	$-0.485616\pi$
$53$	−6.94382	−	6.94382i	−0.953807	−	0.953807i	−0.998979	+	0.0451723i	$0.985616\pi$
$54$	−5.33294	−	2.81612i	−0.725721	−	0.383225i
$55$	−10.9135	+	4.12109i	−1.47158	+	0.555687i
$56$	0.672311	+	5.91032i	0.0898413	+	0.789800i
$57$	−0.0570780	−	0.0570780i	−0.00756017	−	0.00756017i
$58$	−1.31821	−	4.26816i	−0.173090	−	0.560437i
$59$		−	10.5517i		−	1.37372i	−0.726789	−	0.686860i	$-0.758988\pi$
$59$		−	10.5517i		−	1.37372i	0.726789	−	0.686860i	$-0.241012\pi$
$60$	0.617623	+	3.49785i	0.0797348	+	0.451571i
$61$	−1.49686			−0.191653			−0.0958264	−	0.995398i	$-0.530549\pi$
$61$	−1.49686			−0.191653			−0.0958264	+	0.995398i	$0.530549\pi$
$62$	−7.51061	+	2.31964i	−0.953848	+	0.294594i
$63$	3.52323	+	3.52323i	0.443885	+	0.443885i
$64$	−1.79678	−	7.79561i	−0.224598	−	0.974452i
$65$	−0.731099	+	8.02904i	−0.0906816	+	0.995880i
$66$	−2.73632	+	5.18183i	−0.336818	+	0.637840i
$67$	−6.37568	+	6.37568i	−0.778914	+	0.778914i	−0.979646	−	0.200732i	$-0.935668\pi$
$67$	−6.37568	+	6.37568i	−0.778914	+	0.778914i	0.200732	+	0.979646i	$0.435668\pi$
$68$	0.415803	−	2.20615i	0.0504236	−	0.267535i
$69$		−	3.35874i		−	0.404345i
$70$	0.827730	−	6.59885i	0.0989326	−	0.788713i
$71$	−1.73544			−0.205959			−0.102979	−	0.994683i	$-0.532838\pi$
$71$	−1.73544			−0.205959			−0.102979	+	0.994683i	$0.532838\pi$
$72$	−5.24354	−	4.17245i	−0.617957	−	0.491728i
$73$	−5.87285	+	5.87285i	−0.687366	+	0.687366i	−0.961649	−	0.274283i	$-0.911559\pi$
$73$	−5.87285	+	5.87285i	−0.687366	+	0.687366i	0.274283	+	0.961649i	$0.411559\pi$
$74$	5.75179	+	3.03730i	0.668632	+	0.353079i
$75$	0.251124	−	3.96327i	0.0289973	−	0.457638i
$76$	−0.114622	−	0.167863i	−0.0131480	−	0.0192552i
$77$	7.75832	−	7.75832i	0.884143	−	0.884143i
$78$	2.39604	+	3.26502i	0.271298	+	0.369690i
$79$	1.43236			0.161153			0.0805767	−	0.996748i	$-0.474324\pi$
$79$	1.43236			0.161153			0.0805767	+	0.996748i	$0.474324\pi$
$80$	−0.103024	+	8.94368i	−0.0115185	+	0.999934i
$81$	−3.72054			−0.413394
$82$	−2.70390	−	8.75480i	−0.298596	−	0.966806i
$83$	−10.2973	−	10.2973i	−1.13028	−	1.13028i	−0.990131	−	0.140144i	$-0.955243\pi$
$83$	−10.2973	−	10.2973i	−1.13028	−	1.13028i	−0.140144	−	0.990131i	$-0.544757\pi$
$84$	−1.88386	−	2.75890i	−0.205546	−	0.301021i
$85$	−1.03340	+	2.28737i	−0.112088	+	0.248100i
$86$	2.29306	−	4.34241i	0.247267	−	0.468254i
$87$	1.77398	+	1.77398i	0.190190	+	0.190190i
$88$	−9.18794	+	11.5465i	−0.979438	+	1.23086i
$89$	−6.49614			−0.688589			−0.344295	−	0.938862i	$-0.611882\pi$
$89$	−6.49614			−0.688589			−0.344295	+	0.938862i	$0.611882\pi$
$90$	4.59711	+	5.91580i	0.484578	+	0.623580i
$91$	−2.48247	−	7.16493i	−0.260234	−	0.751089i
$92$	1.56649	−	8.31138i	0.163317	−	0.866522i
$93$	3.12164	−	3.12164i	0.323699	−	0.323699i
$94$	3.16635	−	5.99618i	0.326584	−	0.618459i
$95$	0.0802819	+	0.212603i	0.00823675	+	0.0218126i
$96$	2.93671	+	3.40029i	0.299727	+	0.347041i
$97$	6.63009	+	6.63009i	0.673184	+	0.673184i	0.958449	−	0.285265i	$-0.0920816\pi$
$97$	6.63009	+	6.63009i	0.673184	+	0.673184i	−0.285265	+	0.958449i	$0.592082\pi$
$98$	−1.07545	−	3.48215i	−0.108637	−	0.351750i
$99$			12.3601i			1.24224i
$100$	2.46985	−	9.69019i	0.246985	−	0.969019i
$101$	−18.8956			−1.88018			−0.940092	−	0.340920i	$-0.889262\pi$
$101$	−18.8956			−1.88018			−0.940092	+	0.340920i	$0.889262\pi$
$102$	0.372061	+	1.20467i	0.0368395	+	0.119280i
$103$	7.95014	−	7.95014i	0.783351	−	0.783351i	−0.197044	−	0.980395i	$-0.563134\pi$
$103$	7.95014	−	7.95014i	0.783351	−	0.783351i	0.980395	+	0.197044i	$0.0631341\pi$
$104$	4.40636	+	9.19696i	0.432079	+	0.901836i
$105$	1.31947	+	3.49422i	0.128767	+	0.341001i
$106$	12.2806	+	6.48490i	1.19280	+	0.629869i
$107$	13.3326	+	13.3326i	1.28891	+	1.28891i	0.935448	+	0.353463i	$0.114996\pi$
$107$	13.3326	+	13.3326i	1.28891	+	1.28891i	0.353463	+	0.935448i	$0.385004\pi$
$108$	8.38130	+	1.57966i	0.806491	+	0.152003i
$109$	17.2986			1.65690			0.828451	−	0.560062i	$-0.189223\pi$
$109$	17.2986			1.65690			0.828451	+	0.560062i	$0.189223\pi$
$110$	13.0269	−	10.1231i	1.24206	−	0.965195i
$111$	−3.65301			−0.346728
$112$	−3.37499	−	7.70567i	−0.318906	−	0.728117i
$113$	11.9985	+	11.9985i	1.12872	+	1.12872i	0.990386	+	0.138334i	$0.0441746\pi$
$113$	11.9985	+	11.9985i	1.12872	+	1.12872i	0.138334	+	0.990386i	$0.455825\pi$
$114$	0.100946	+	0.0533057i	0.00945446	+	0.00499254i
$115$	−3.89321	+	8.61737i	−0.363044	+	0.803574i
$116$	3.56244	+	5.21717i	0.330764	+	0.484402i
$117$	7.68485	+	3.72991i	0.710464	+	0.344830i
$118$	4.40353	+	14.2579i	0.405377	+	1.31255i
$119$		−	2.36071i		−	0.216406i
$120$	−2.29430	−	4.46867i	−0.209440	−	0.407932i
$121$	16.2176			1.47433
$122$	2.02261	−	0.624678i	0.183118	−	0.0565557i
$123$	3.63876	+	3.63876i	0.328096	+	0.328096i
$124$	9.18056	−	6.26875i	0.824439	−	0.562951i
$125$	−5.23823	+	9.87729i	−0.468521	+	0.883452i
$126$	−6.23105	−	3.29038i	−0.555106	−	0.293130i
$127$	−4.63191	−	4.63191i	−0.411016	−	0.411016i	0.471077	−	0.882092i	$-0.343866\pi$
$127$	−4.63191	−	4.63191i	−0.411016	−	0.411016i	−0.882092	+	0.471077i	$0.843866\pi$
$128$	5.68119	+	9.78387i	0.502151	+	0.864780i
$129$			2.75790i			0.242820i
$130$	−2.36285	−	11.1542i	−0.207235	−	0.978291i
$131$		−	20.8492i		−	1.82161i	−0.412840	−	0.910804i	$-0.635463\pi$
$131$		−	20.8492i		−	1.82161i	0.412840	−	0.910804i	$-0.364537\pi$
$132$	1.53490	−	8.14382i	0.133596	−	0.708829i
$133$	−0.151138	−	0.151138i	−0.0131053	−	0.0131053i
$134$	5.95431	−	11.2758i	0.514374	−	0.974080i
$135$	−8.68986	−	3.92596i	−0.747904	−	0.337893i
$136$	0.358837	+	3.15455i	0.0307700	+	0.270501i
$137$	0.119502	+	0.119502i	0.0102097	+	0.0102097i	0.712193	−	0.701983i	$-0.247702\pi$
$137$	0.119502	+	0.119502i	0.0102097	+	0.0102097i	−0.701983	+	0.712193i	$0.747702\pi$
$138$	1.40169	+	4.53845i	0.119320	+	0.386338i
$139$	−20.1901			−1.71250			−0.856252	−	0.516559i	$-0.827213\pi$
$139$	−20.1901			−1.71250			−0.856252	+	0.516559i	$0.827213\pi$
$140$	1.63542	+	9.26203i	0.138218	+	0.782784i
$141$			3.80823i			0.320710i
$142$	2.34499	−	0.724245i	0.196787	−	0.0607773i
$143$	8.21344	−	16.9224i	0.686843	−	1.41512i
$144$	8.82653	+	3.44970i	0.735544	+	0.287475i
$145$	−2.49515	−	6.60769i	−0.207211	−	0.548738i
$146$	5.48471	−	10.3865i	0.453918	−	0.859594i
$147$	1.44729	+	1.44729i	0.119370	+	0.119370i
$148$	−9.03957	−	1.70373i	−0.743048	−	0.140046i
$149$	−9.51723			−0.779682			−0.389841	−	0.920882i	$-0.627470\pi$
$149$	−9.51723			−0.779682			−0.389841	+	0.920882i	$0.627470\pi$
$150$	1.31465	+	5.46011i	0.107341	+	0.445816i
$151$	3.70969			0.301890			0.150945	−	0.988542i	$-0.451768\pi$
$151$	3.70969			0.301890			0.150945	+	0.988542i	$0.451768\pi$
$152$	0.224935	+	0.178988i	0.0182447	+	0.0145179i
$153$	1.88048	+	1.88048i	0.152027	+	0.152027i
$154$	−7.24557	+	13.7211i	−0.583865	+	1.10568i
$155$	−11.6274	+	4.39067i	−0.933937	+	0.352667i
$156$	−4.60020	−	3.41188i	−0.368310	−	0.273169i
$157$	−2.55204	+	2.55204i	−0.203675	+	0.203675i	−0.801573	−	0.597898i	$-0.796003\pi$
$157$	−2.55204	+	2.55204i	−0.203675	+	0.203675i	0.597898	+	0.801573i	$0.296003\pi$
$158$	−1.93546	+	0.597763i	−0.153977	+	0.0475555i
$159$	−7.79950			−0.618540
$160$	−3.59323	−	12.1280i	−0.284069	−	0.958804i
$161$		−	8.89367i		−	0.700920i
$162$	5.02733	−	1.55268i	0.394985	−	0.121990i
$163$	3.79158	+	3.79158i	0.296979	+	0.296979i	0.839830	−	0.542850i	$-0.182655\pi$
$163$	3.79158	+	3.79158i	0.296979	+	0.296979i	−0.542850	+	0.839830i	$0.682655\pi$
$164$	7.30722	+	10.7014i	0.570598	+	0.835638i
$165$	−3.81472	+	8.44364i	−0.296975	+	0.657337i
$166$	18.2114	+	9.61674i	1.41348	+	0.746404i
$167$	−8.86404	+	8.86404i	−0.685920	+	0.685920i	−0.961328	−	0.275408i	$-0.911187\pi$
$167$	−8.86404	+	8.86404i	−0.685920	+	0.685920i	0.275408	+	0.961328i	$0.411187\pi$
$168$	3.69690	+	2.94174i	0.285222	+	0.226960i
$169$	−8.04286	−	10.2133i	−0.618682	−	0.785642i
$170$	0.441789	−	3.52204i	0.0338837	−	0.270128i
$171$	0.240784			0.0184132
$172$	−1.28626	+	6.82458i	−0.0980764	+	0.520369i
$173$	−8.52255	−	8.52255i	−0.647958	−	0.647958i	0.304541	−	0.952499i	$-0.401497\pi$
$173$	−8.52255	−	8.52255i	−0.647958	−	0.647958i	−0.952499	+	0.304541i	$0.901497\pi$
$174$	−3.13739	−	1.65673i	−0.237845	−	0.125597i
$175$	0.664955	−	10.4944i	0.0502659	−	0.793303i
$176$	7.59640	−	19.4365i	0.572601	−	1.46508i
$177$	−5.92601	−	5.92601i	−0.445426	−	0.445426i
$178$	8.77782	−	2.71101i	0.657925	−	0.203199i
$179$	19.5455			1.46090			0.730449	−	0.682967i	$-0.239311\pi$
$179$	19.5455			1.46090			0.730449	+	0.682967i	$0.239311\pi$
$180$	−8.68060	−	6.07514i	−0.647013	−	0.452815i
$181$	−11.2087			−0.833132			−0.416566	−	0.909105i	$-0.636767\pi$
$181$	−11.2087			−0.833132			−0.416566	+	0.909105i	$0.636767\pi$
$182$	6.34452	+	8.64551i	0.470287	+	0.640847i
$183$	−0.840656	+	0.840656i	−0.0621431	+	0.0621431i
$184$	1.35187	+	11.8844i	0.0996612	+	0.876128i
$185$	9.37237	+	4.23431i	0.689070	+	0.311312i
$186$	−2.91532	+	5.52081i	−0.213762	+	0.404805i
$187$	4.14090	−	4.14090i	0.302812	−	0.302812i
$188$	−1.77612	+	9.42366i	−0.129537	+	0.687291i
$189$	8.96848			0.652361
$190$	−0.197205	−	0.253774i	−0.0143067	−	0.0184107i
$191$			14.4302i			1.04414i	0.852904	+	0.522068i	$0.174839\pi$
$191$			14.4302i			1.04414i	−0.852904	+	0.522068i	$0.825161\pi$
$192$	−5.38723	−	3.36903i	−0.388790	−	0.243139i
$193$	−7.31079	+	7.31079i	−0.526242	+	0.526242i	−0.919450	−	0.393207i	$-0.871365\pi$
$193$	−7.31079	+	7.31079i	−0.526242	+	0.526242i	0.393207	+	0.919450i	$0.371365\pi$
$194$	−11.7257	−	6.19190i	−0.841858	−	0.444553i
$195$	4.09863	+	4.91982i	0.293509	+	0.352316i
$196$	2.90639	+	4.25639i	0.207599	+	0.304028i
$197$	−4.58324	−	4.58324i	−0.326542	−	0.326542i	0.524728	−	0.851270i	$-0.324167\pi$
$197$	−4.58324	−	4.58324i	−0.326542	−	0.326542i	−0.851270	+	0.524728i	$0.824167\pi$
$198$	−5.15821	−	16.7014i	−0.366578	−	1.18692i
$199$	−1.85757			−0.131680			−0.0658398	−	0.997830i	$-0.520973\pi$
$199$	−1.85757			−0.131680			−0.0658398	+	0.997830i	$0.520973\pi$
$200$	0.706626	+	14.1245i	0.0499660	+	0.998751i
$201$			7.16135i			0.505123i
$202$	25.5324	−	7.88565i	1.79646	−	0.554832i
$203$	4.69735	+	4.69735i	0.329689	+	0.329689i
$204$	−1.00548	−	1.47253i	−0.0703980	−	0.103097i
$205$	−5.11802	−	13.5536i	−0.357458	−	0.946624i
$206$	−7.42471	+	14.0603i	−0.517304	+	0.979629i
$207$	7.08445	+	7.08445i	0.492403	+	0.492403i
$208$	−9.79217	−	10.5884i	−0.678965	−	0.734171i
$209$		−	0.530219i		−	0.0366760i
$210$	−3.24114	−	4.17087i	−0.223660	−	0.287817i
$211$			4.26614i			0.293694i	0.989159	+	0.146847i	$0.0469124\pi$
$211$			4.26614i			0.293694i	−0.989159	+	0.146847i	$0.953088\pi$
$212$	−19.3003	−	3.63761i	−1.32555	−	0.249832i
$213$	−0.974647	+	0.974647i	−0.0667817	+	0.0667817i
$214$	−23.5795	−	12.4514i	−1.61186	−	0.851163i
$215$	3.19676	−	7.07583i	0.218017	−	0.482568i
$216$	−11.9843	+	1.36324i	−0.815431	+	0.0927569i
$217$	8.26584	−	8.26584i	0.561122	−	0.561122i
$218$	−23.3744	+	7.21915i	−1.58312	+	0.488943i
$219$			6.59656i			0.445754i
$220$	−13.3778	+	19.1151i	−0.901929	+	1.28874i
$221$	−1.32499	−	3.82418i	−0.0891283	−	0.257242i
$222$	4.93608	−	1.52450i	0.331288	−	0.102318i
$223$	12.0709	+	12.0709i	0.808329	+	0.808329i	0.984381	−	0.176052i	$-0.0563328\pi$
$223$	12.0709	+	12.0709i	0.808329	+	0.808329i	−0.176052	+	0.984381i	$0.556333\pi$
$224$	7.77618	+	9.00370i	0.519568	+	0.601585i
$225$	7.82986	+	8.88923i	0.521991	+	0.592615i
$226$	−21.2200	−	11.2055i	−1.41153	−	0.745376i
$227$	9.70954	−	9.70954i	0.644445	−	0.644445i	−0.307200	−	0.951645i	$-0.599392\pi$
$227$	9.70954	−	9.70954i	0.644445	−	0.644445i	0.951645	+	0.307200i	$0.0993920\pi$
$228$	−0.158648	−	0.0299011i	−0.0105067	−	0.00198025i
$229$	9.74332			0.643856			0.321928	−	0.946764i	$-0.395669\pi$
$229$	9.74332			0.643856			0.321928	+	0.946764i	$0.395669\pi$
$230$	1.66438	−	13.2688i	0.109746	−	0.874922i
$231$		−	8.71437i		−	0.573363i
$232$	−6.99096	−	5.56293i	−0.458979	−	0.365224i
$233$	2.40053	+	2.40053i	0.157264	+	0.157264i	0.781353	−	0.624089i	$-0.214530\pi$
$233$	2.40053	+	2.40053i	0.157264	+	0.157264i	−0.624089	+	0.781353i	$0.714530\pi$
$234$	−11.9406	−	1.83290i	−0.780584	−	0.119820i
$235$	4.41422	−	9.77060i	0.287952	−	0.637364i
$236$	−11.9004	−	17.4281i	−0.774650	−	1.13447i
$237$	0.804435	−	0.804435i	0.0522537	−	0.0522537i
$238$	0.985187	+	3.18988i	0.0638602	+	0.206769i
$239$		−	14.8314i		−	0.959363i	−0.877443	−	0.479682i	$-0.840752\pi$
$239$		−	14.8314i		−	0.959363i	0.877443	−	0.479682i	$-0.159248\pi$
$240$	4.96504	+	5.08076i	0.320492	+	0.327962i
$241$		−	9.39857i		−	0.605415i	−0.953083	−	0.302708i	$-0.902109\pi$
$241$		−	9.39857i		−	0.605415i	0.953083	−	0.302708i	$-0.0978906\pi$
$242$	−21.9138	+	6.76803i	−1.40867	+	0.435065i
$243$	−11.1357	+	11.1357i	−0.714358	+	0.714358i
$244$	−2.47232	+	1.68817i	−0.158274	+	0.108074i
$245$	−2.03565	−	5.39083i	−0.130053	−	0.344407i
$246$	−6.43537	−	3.39827i	−0.410304	−	0.216666i
$247$	−0.329661	−	0.160004i	−0.0209759	−	0.0101808i
$248$	−9.78898	+	12.3019i	−0.621601	+	0.781169i
$249$	−11.5662			−0.732979
$250$	2.95603	−	15.5326i	0.186955	−	0.982368i
$251$			12.8154i			0.808900i	0.914560	+	0.404450i	$0.132537\pi$
$251$			12.8154i			0.808900i	−0.914560	+	0.404450i	$0.867463\pi$
$252$	9.79278	+	1.84569i	0.616887	+	0.116268i
$253$	15.6003	−	15.6003i	0.980782	−	0.980782i
$254$	8.19182	+	4.32578i	0.514001	+	0.271424i
$255$	0.704247	+	1.86499i	0.0441016	+	0.116790i
$256$	−11.7597	−	10.8494i	−0.734981	−	0.678087i
$257$	4.63552	−	4.63552i	0.289156	−	0.289156i	−0.547591	−	0.836746i	$-0.684455\pi$
$257$	4.63552	−	4.63552i	0.289156	−	0.289156i	0.836746	+	0.547591i	$0.184455\pi$
$258$	−1.15095	−	3.72658i	−0.0716548	−	0.232006i
$259$	−9.67288			−0.601043
$260$	7.84772	+	14.0859i	0.486695	+	0.873572i
$261$	−7.48355			−0.463220
$262$	8.70095	+	28.1723i	0.537546	+	1.74049i
$263$	−21.0322	+	21.0322i	−1.29690	+	1.29690i	−0.366472	+	0.930429i	$0.619435\pi$
$263$	−21.0322	+	21.0322i	−1.29690	+	1.29690i	−0.930429	+	0.366472i	$0.880565\pi$
$264$	1.32462	+	11.6448i	0.0815245	+	0.716687i
$265$	20.0108	+	9.04062i	1.22926	+	0.555361i
$266$	0.267297	+	0.141149i	0.0163890	+	0.00865441i
$267$	−3.64833	+	3.64833i	−0.223274	+	0.223274i
$268$	−3.33999	+	17.7212i	−0.204022	+	1.08249i
$269$		−	11.3028i		−	0.689143i	−0.938760	−	0.344572i	$-0.888024\pi$
$269$		−	11.3028i		−	0.689143i	0.938760	−	0.344572i	$-0.111976\pi$
$270$	13.3805	+	1.67838i	0.814309	+	0.102143i
$271$	0.932858			0.0566671			0.0283335	−	0.999599i	$-0.490980\pi$
$271$	0.932858			0.0566671			0.0283335	+	0.999599i	$0.490980\pi$
$272$	−1.80135	−	4.11279i	−0.109223	−	0.249375i
$273$	−5.41812	−	2.62973i	−0.327920	−	0.159159i
$274$	−0.211346	−	0.111604i	−0.0127679	−	0.00674223i
$275$	19.5745	−	17.2417i	1.18039	−	1.03972i
$276$	−3.78803	−	5.54755i	−0.228013	−	0.333923i
$277$	−15.7265	+	15.7265i	−0.944912	+	0.944912i	−0.998560	−	0.0536481i	$-0.982915\pi$
$277$	−15.7265	+	15.7265i	−0.944912	+	0.944912i	0.0536481	+	0.998560i	$0.482915\pi$
$278$	27.2816	−	8.42587i	1.63624	−	0.505350i
$279$			13.1687i			0.788387i
$280$	−6.07513	−	11.8327i	−0.363058	−	0.707138i
$281$		−	30.0274i		−	1.79128i	−0.444775	−	0.895642i	$-0.646716\pi$
$281$		−	30.0274i		−	1.79128i	0.444775	−	0.895642i	$-0.353284\pi$
$282$	−1.58927	−	5.14581i	−0.0946399	−	0.306429i
$283$	14.6116	−	14.6116i	0.868570	−	0.868570i	−0.123744	−	0.992314i	$-0.539490\pi$
$283$	14.6116	−	14.6116i	0.868570	−	0.868570i	0.992314	+	0.123744i	$0.0394903\pi$
$284$	−2.86638	+	1.95725i	−0.170089	+	0.116142i
$285$	0.164489	+	0.0743136i	0.00974346	+	0.00440196i
$286$	−4.03613	+	26.2939i	−0.238661	+	1.55479i
$287$	9.63514	+	9.63514i	0.568744	+	0.568744i
$288$	−13.3664	−	0.977809i	−0.787622	−	0.0576179i
$289$			15.7400i			0.925883i
$290$	6.12910	+	7.88725i	0.359913	+	0.463155i
$291$	7.44711			0.436557
$292$	−3.07657	+	16.3235i	−0.180043	+	0.955263i
$293$	−8.55742	+	8.55742i	−0.499930	+	0.499930i	−0.911416	−	0.411486i	$-0.865010\pi$
$293$	−8.55742	+	8.55742i	−0.499930	+	0.499930i	0.411486	+	0.911416i	$0.365010\pi$
$294$	−2.55962	−	1.35163i	−0.149280	−	0.0788289i
$295$	8.33511	+	22.0731i	0.485289	+	1.28515i
$296$	12.9256	−	1.47031i	0.751286	−	0.0854602i
$297$	15.7315	+	15.7315i	0.912836	+	0.912836i
$298$	12.8600	−	3.97179i	0.744961	−	0.230080i
$299$	−4.99172	−	14.4071i	−0.288678	−	0.833185i
$300$	−4.05505	−	6.82925i	−0.234118	−	0.394287i
$301$			7.30270i			0.420921i
$302$	−5.01267	+	1.54815i	−0.288446	+	0.0890861i
$303$	−10.6121	+	10.6121i	−0.609647	+	0.609647i
$304$	−0.378637	−	0.147984i	−0.0217163	−	0.00848745i
$305$	3.13126	−	1.18241i	0.179296	−	0.0677044i
$306$	−3.32574	−	1.75619i	−0.190120	−	0.100395i
$307$	13.3065	−	13.3065i	0.759441	−	0.759441i	−0.216779	−	0.976221i	$-0.569555\pi$
$307$	13.3065	−	13.3065i	0.759441	−	0.759441i	0.976221	+	0.216779i	$0.0695552\pi$
$308$	4.06430	−	21.5642i	0.231585	−	1.22873i
$309$		−	8.92983i		−	0.508000i
$310$	13.8790	−	10.7853i	0.788277	−	0.612562i
$311$		−	12.3858i		−	0.702336i	−0.936313	−	0.351168i	$-0.885785\pi$
$311$		−	12.3858i		−	0.702336i	0.936313	−	0.351168i	$-0.114215\pi$
$312$	7.63982	+	2.69047i	0.432519	+	0.152318i
$313$	−9.10805	−	9.10805i	−0.514817	−	0.514817i	0.401181	−	0.915999i	$-0.368600\pi$
$313$	−9.10805	−	9.10805i	−0.514817	−	0.514817i	−0.915999	+	0.401181i	$0.868600\pi$
$314$	2.38337	−	4.51344i	0.134502	−	0.254708i
$315$	−10.1533	−	4.58712i	−0.572074	−	0.258455i
$316$	2.36580	−	1.61544i	0.133087	−	0.0908755i
$317$	−9.85317	−	9.85317i	−0.553409	−	0.553409i	0.374014	−	0.927423i	$-0.377981\pi$
$317$	−9.85317	−	9.85317i	−0.553409	−	0.553409i	−0.927423	+	0.374014i	$0.877981\pi$
$318$	10.5390	−	3.25494i	0.590996	−	0.182528i
$319$			16.4791i			0.922655i
$320$	9.91664	+	14.8883i	0.554357	+	0.832279i
$321$	14.9756			0.835855
$322$	3.71157	+	12.0174i	0.206838	+	0.669706i
$323$	−0.0806678	−	0.0806678i	−0.00448848	−	0.00448848i
$324$	−6.14514	+	4.19608i	−0.341396	+	0.233116i
$325$	−4.81298	−	17.3734i	−0.266976	−	0.963703i
$326$	−6.70564	−	3.54099i	−0.371391	−	0.196117i
$327$	9.71512	−	9.71512i	0.537247	−	0.537247i
$328$	−14.3398	−	11.4106i	−0.791780	−	0.630045i
$329$			10.0839i			0.555942i
$330$	1.63083	−	13.0013i	0.0897742	−	0.715700i
$331$	−26.8753			−1.47720			−0.738599	−	0.674145i	$-0.764512\pi$
$331$	−26.8753			−1.47720			−0.738599	+	0.674145i	$0.764512\pi$
$332$	−28.6212	−	5.39438i	−1.57079	−	0.296055i
$333$	7.70514	−	7.70514i	0.422239	−	0.422239i
$334$	8.27821	−	15.6766i	0.452963	−	0.857786i
$335$	8.30092	−	18.3736i	0.453528	−	1.00386i
$336$	−6.22305	−	2.43217i	−0.339495	−	0.132686i
$337$	−11.8914	+	11.8914i	−0.647768	+	0.647768i	−0.952453	−	0.304685i	$-0.901449\pi$
$337$	−11.8914	+	11.8914i	−0.647768	+	0.647768i	0.304685	+	0.952453i	$0.401449\pi$
$338$	15.1301	+	10.4441i	0.822969	+	0.568086i
$339$	13.4770			0.731970
$340$	0.872881	+	4.94348i	0.0473386	+	0.268098i
$341$	28.9980			1.57033
$342$	−0.325357	+	0.100486i	−0.0175933	+	0.00543365i
$343$	14.2421	+	14.2421i	0.768999	+	0.768999i
$344$	−1.11004	−	9.75841i	−0.0598492	−	0.526138i
$345$	2.65316	+	7.02612i	0.142841	+	0.378274i
$346$	15.0727	+	7.95929i	0.810312	+	0.427894i
$347$	−7.80289	−	7.80289i	−0.418881	−	0.418881i	0.465937	−	0.884818i	$-0.345717\pi$
$347$	−7.80289	−	7.80289i	−0.418881	−	0.418881i	−0.884818	+	0.465937i	$0.845717\pi$
$348$	4.93075	+	0.929322i	0.264316	+	0.0498169i
$349$	−23.0829			−1.23560			−0.617799	−	0.786336i	$-0.711975\pi$
$349$	−23.0829			−1.23560			−0.617799	+	0.786336i	$0.711975\pi$
$350$	3.48108	+	14.4579i	0.186072	+	0.772809i
$351$	14.5283	−	5.03371i	0.775463	−	0.268679i
$352$	−2.15318	+	29.4334i	−0.114765	+	1.56881i
$353$	−12.4513	+	12.4513i	−0.662717	+	0.662717i	−0.956020	−	0.293303i	$-0.905246\pi$
$353$	−12.4513	+	12.4513i	−0.662717	+	0.662717i	0.293303	+	0.956020i	$0.405246\pi$
$354$	10.4805	+	5.53436i	0.557034	+	0.294148i
$355$	3.63035	−	1.37087i	0.192679	−	0.0727582i
$356$	−10.7295	+	7.32643i	−0.568664	+	0.388300i
$357$	−1.32581	−	1.32581i	−0.0701692	−	0.0701692i
$358$	−26.4106	+	8.15685i	−1.39584	+	0.431103i
$359$		−	1.28531i		−	0.0678361i	−0.999425	−	0.0339181i	$-0.989201\pi$
$359$		−	1.28531i		−	0.0678361i	0.999425	−	0.0339181i	$-0.0107985\pi$
$360$	14.2649	+	4.58631i	0.751824	+	0.241720i
$361$	18.9897			0.999456
$362$	15.1455	−	4.67767i	0.796031	−	0.245853i
$363$	9.10803	−	9.10803i	0.478047	−	0.478047i
$364$	−12.1809	−	9.03438i	−0.638455	−	0.473530i
$365$	7.64626	−	16.9245i	0.400223	−	0.885869i
$366$	0.785096	−	1.48675i	0.0410376	−	0.0777138i
$367$	−3.03025	−	3.03025i	−0.158178	−	0.158178i	0.623581	−	0.781759i	$-0.285677\pi$
$367$	−3.03025	−	3.03025i	−0.158178	−	0.158178i	−0.781759	+	0.623581i	$0.785677\pi$
$368$	−6.78636	−	15.4944i	−0.353764	−	0.807703i
$369$	−15.3502			−0.799097
$370$	−14.4314	−	1.81021i	−0.750251	−	0.0941082i
$371$	−20.6524			−1.07222
$372$	1.63531	−	8.67656i	0.0847869	−	0.449858i
$373$	12.5458	+	12.5458i	0.649597	+	0.649597i	0.952896	−	0.303299i	$-0.0980879\pi$
$373$	12.5458	+	12.5458i	0.649597	+	0.649597i	−0.303299	+	0.952896i	$0.598088\pi$
$374$	−3.86722	+	7.32344i	−0.199969	+	0.378686i
$375$	2.60537	+	8.48910i	0.134541	+	0.438375i
$376$	−1.53279	−	13.4748i	−0.0790474	−	0.694910i
$377$	10.2458	+	4.97291i	0.527687	+	0.256118i
$378$	−12.1185	+	3.74279i	−0.623310	+	0.192508i
$379$			19.8910i			1.02173i	0.859660	+	0.510866i	$0.170675\pi$
$379$			19.8910i			1.02173i	−0.859660	+	0.510866i	$0.829325\pi$
$380$	0.372377	+	0.260609i	0.0191025	+	0.0133690i
$381$	−5.20269			−0.266542
$382$	−6.02212	−	19.4987i	−0.308119	−	0.997638i
$383$	1.94725	+	1.94725i	0.0994996	+	0.0994996i	0.755104	−	0.655605i	$-0.227586\pi$
$383$	1.94725	+	1.94725i	0.0994996	+	0.0994996i	−0.655605	+	0.755104i	$0.727586\pi$
$384$	8.68540	+	2.30412i	0.443225	+	0.117582i
$385$	−10.1011	+	22.3581i	−0.514798	+	1.13947i
$386$	6.82762	−	12.9296i	0.347517	−	0.658099i
$387$	−5.81713	−	5.81713i	−0.295701	−	0.295701i
$388$	18.4283	+	3.47326i	0.935554	+	0.176328i
$389$			15.2218i			0.771778i	0.922545	+	0.385889i	$0.126105\pi$
$389$			15.2218i			0.771778i	−0.922545	+	0.385889i	$0.873895\pi$
$390$	−7.59139	−	4.93737i	−0.384405	−	0.250013i
$391$		−	4.74688i		−	0.240060i
$392$	−5.70352	−	4.53847i	−0.288071	−	0.229227i
$393$	−11.7092	−	11.7092i	−0.590653	−	0.590653i
$394$	8.10574	+	4.28033i	0.408361	+	0.215640i
$395$	−2.99635	+	1.13146i	−0.150763	+	0.0569300i
$396$	13.9399	+	20.4149i	0.700507	+	1.02589i
$397$	−6.29063	−	6.29063i	−0.315718	−	0.315718i	0.531402	−	0.847120i	$-0.321665\pi$
$397$	−6.29063	−	6.29063i	−0.315718	−	0.315718i	−0.847120	+	0.531402i	$0.821665\pi$
$398$	2.51001	−	0.775213i	0.125816	−	0.0388579i
$399$	−0.169763			−0.00849876
$400$	−6.84934	−	18.7906i	−0.342467	−	0.939530i
$401$		−	9.05500i		−	0.452185i	−0.974106	−	0.226093i	$-0.927405\pi$
$401$		−	9.05500i		−	0.452185i	0.974106	−	0.226093i	$-0.0725952\pi$
$402$	−2.98862	−	9.67667i	−0.149059	−	0.482629i
$403$	8.75073	−	18.0294i	0.435905	−	0.898109i
$404$	−31.2095	+	21.3107i	−1.55273	+	1.06025i
$405$	7.78298	−	2.93896i	0.386739	−	0.146038i
$406$	−8.30756	−	4.38690i	−0.412297	−	0.217718i
$407$	−16.9671	−	16.9671i	−0.841028	−	0.841028i
$408$	1.97317	+	1.57012i	0.0976865	+	0.0777323i
$409$	−9.54287			−0.471865			−0.235932	−	0.971769i	$-0.575814\pi$
$409$	−9.54287			−0.471865			−0.235932	+	0.971769i	$0.575814\pi$
$410$	12.5719	+	16.1782i	0.620883	+	0.798985i
$411$	0.134228			0.00662097
$412$	4.16479	−	22.0973i	0.205184	−	1.08866i
$413$	−15.6916	−	15.6916i	−0.772133	−	0.772133i
$414$	−12.5293	−	6.61623i	−0.615781	−	0.325170i
$415$	29.6750	+	13.4067i	1.45669	+	0.658110i
$416$	17.6503	+	10.2208i	0.865379	+	0.501118i
$417$	−11.3391	+	11.3391i	−0.555276	+	0.555276i
$418$	0.221275	+	0.716451i	0.0108229	+	0.0350428i
$419$	17.1056			0.835662			0.417831	−	0.908525i	$-0.362790\pi$
$419$	17.1056			0.835662			0.417831	+	0.908525i	$0.362790\pi$
$420$	6.12016	+	4.28322i	0.298633	+	0.209000i
$421$			7.59120i			0.369972i	0.982741	+	0.184986i	$0.0592240\pi$
$421$			7.59120i			0.369972i	−0.982741	+	0.184986i	$0.940776\pi$
$422$	−1.78038	−	5.76457i	−0.0866673	−	0.280615i
$423$	−8.03253	−	8.03253i	−0.390555	−	0.390555i
$424$	27.5973	−	3.13925i	1.34024	−	0.152455i
$425$	0.354911	−	5.60125i	0.0172157	−	0.271700i
$426$	0.910232	−	1.72372i	0.0441009	−	0.0835147i
$427$	−2.22599	+	2.22599i	−0.107723	+	0.107723i
$428$	37.0578	+	6.98447i	1.79126	+	0.337607i
$429$	−4.89108	−	14.1167i	−0.236144	−	0.681559i
$430$	−1.36665	+	10.8952i	−0.0659055	+	0.525414i
$431$	−28.3057			−1.36344			−0.681718	−	0.731615i	$-0.738767\pi$
$431$	−28.3057			−1.36344			−0.681718	+	0.731615i	$0.738767\pi$
$432$	15.6248	−	6.84345i	0.751747	−	0.329256i
$433$	12.4675	+	12.4675i	0.599151	+	0.599151i	0.940087	−	0.340936i	$-0.110744\pi$
$433$	12.4675	+	12.4675i	0.599151	+	0.599151i	−0.340936	+	0.940087i	$0.610744\pi$
$434$	−7.71954	+	14.6187i	−0.370550	+	0.701718i
$435$	−5.11228	−	2.30966i	−0.245115	−	0.110740i
$436$	28.5716	−	19.5096i	1.36833	−	0.934338i
$437$	−0.303906	−	0.303906i	−0.0145378	−	0.0145378i
$438$	−2.75292	−	8.91351i	−0.131540	−	0.425904i
$439$	0.183524			0.00875913			0.00437956	−	0.999990i	$-0.498606\pi$
$439$	0.183524			0.00875913			0.00437956	+	0.999990i	$0.498606\pi$
$440$	10.0993	−	31.4119i	0.481464	−	1.49750i
$441$	−6.10540			−0.290733
$442$	3.38630	+	4.61442i	0.161070	+	0.219486i
$443$	−5.69369	+	5.69369i	−0.270516	+	0.270516i	−0.829308	−	0.558792i	$-0.811265\pi$
$443$	−5.69369	+	5.69369i	−0.270516	+	0.270516i	0.558792	+	0.829308i	$0.311265\pi$
$444$	−6.03359	+	4.11991i	−0.286342	+	0.195522i
$445$	13.5892	−	5.13148i	0.644191	−	0.243255i
$446$	−21.3482	−	11.2731i	−1.01087	−	0.533799i
$447$	−5.34501	+	5.34501i	−0.252810	+	0.252810i
$448$	−14.2649	−	8.92092i	−0.673955	−	0.421474i
$449$	33.2458			1.56896			0.784482	−	0.620151i	$-0.212929\pi$
$449$	33.2458			1.56896			0.784482	+	0.620151i	$0.212929\pi$
$450$	−14.2897	−	8.74384i	−0.673623	−	0.412189i
$451$			33.8018i			1.59166i
$452$	33.3496	+	6.28555i	1.56863	+	0.295647i
$453$	2.08341	−	2.08341i	0.0978874	−	0.0978874i
$454$	−9.06783	+	17.1719i	−0.425575	+	0.805919i
$455$	10.8528	+	13.0273i	0.508789	+	0.610729i
$456$	0.226849	−	0.0258045i	0.0106232	−	0.00120841i
$457$	−4.43340	−	4.43340i	−0.207386	−	0.207386i	0.595770	−	0.803155i	$-0.296847\pi$
$457$	−4.43340	−	4.43340i	−0.207386	−	0.207386i	−0.803155	+	0.595770i	$0.796847\pi$
$458$	−13.1655	+	4.06615i	−0.615184	+	0.189998i
$459$	4.78681			0.223429
$460$	3.28847	+	18.6239i	0.153326	+	0.868345i
$461$			32.9895i			1.53648i	0.640165	+	0.768238i	$0.278866\pi$
$461$			32.9895i			1.53648i	−0.640165	+	0.768238i	$0.721134\pi$
$462$	3.63674	+	11.7752i	0.169196	+	0.547830i
$463$	−14.2854	−	14.2854i	−0.663897	−	0.663897i	0.292399	−	0.956296i	$-0.405546\pi$
$463$	−14.2854	−	14.2854i	−0.663897	−	0.663897i	−0.956296	+	0.292399i	$0.905546\pi$
$464$	11.7680	+	4.59932i	0.546315	+	0.213518i
$465$	−4.06426	+	8.99599i	−0.188476	+	0.417179i
$466$	−4.24548	−	2.24187i	−0.196668	−	0.103853i
$467$	−21.2595	−	21.2595i	−0.983774	−	0.983774i	0.0160967	−	0.999870i	$-0.494876\pi$
$467$	−21.2595	−	21.2595i	−0.983774	−	0.983774i	−0.999870	+	0.0160967i	$0.994876\pi$
$468$	16.8995	−	2.50647i	0.781181	−	0.115862i
$469$			18.9627i			0.875615i
$470$	−1.88712	+	15.0446i	−0.0870465	+	0.693954i
$471$			2.86652i			0.132082i
$472$	23.3535	+	18.5831i	1.07493	+	0.855356i
$473$	−12.8096	+	12.8096i	−0.588986	+	0.588986i
$474$	−0.751270	+	1.42269i	−0.0345070	+	0.0653465i
$475$	−0.335882	−	0.381327i	−0.0154113	−	0.0174965i
$476$	−2.66244	−	3.89913i	−0.122033	−	0.178716i
$477$	16.4511	−	16.4511i	0.753246	−	0.753246i
$478$	6.18953	+	20.0407i	0.283103	+	0.916641i
$479$		−	28.2046i		−	1.28870i	−0.764730	−	0.644351i	$-0.777128\pi$
$479$		−	28.2046i		−	1.28870i	0.764730	−	0.644351i	$-0.222872\pi$
$480$	−8.82927	−	4.79326i	−0.402999	−	0.218781i
$481$	−15.6694	+	5.42906i	−0.714462	+	0.247544i
$482$	3.92227	+	12.6997i	0.178655	+	0.578455i
$483$	−4.99481	−	4.99481i	−0.227272	−	0.227272i
$484$	26.7862	−	18.2904i	1.21755	−	0.831382i
$485$	−19.1067	−	8.63215i	−0.867592	−	0.391966i
$486$	10.3998	−	19.6942i	0.471743	−	0.893349i
$487$	−5.60275	+	5.60275i	−0.253885	+	0.253885i	−0.822561	−	0.568676i	$-0.807456\pi$
$487$	−5.60275	+	5.60275i	−0.253885	+	0.253885i	0.568676	+	0.822561i	$0.307456\pi$
$488$	2.63617	−	3.31289i	0.119334	−	0.149967i
$489$	4.25881			0.192590
$490$	5.00038	+	6.43475i	0.225894	+	0.290692i
$491$		−	19.7932i		−	0.893253i	−0.894720	−	0.446627i	$-0.852625\pi$
$491$		−	19.7932i		−	0.893253i	0.894720	−	0.446627i	$-0.147375\pi$
$492$	10.1139	+	1.90621i	0.455969	+	0.0859387i
$493$	2.50715	+	2.50715i	0.112916	+	0.112916i
$494$	0.512224	+	0.0786268i	0.0230461	+	0.00353759i
$495$	−9.76359	−	25.8560i	−0.438841	−	1.16214i
$496$	8.09333	−	20.7079i	0.363401	−	0.929813i
$497$	−2.58079	+	2.58079i	−0.115764	+	0.115764i
$498$	15.6287	−	4.82689i	0.700338	−	0.216298i
$499$			15.1230i			0.677000i	0.940966	+	0.338500i	$0.109920\pi$
$499$			15.1230i			0.677000i	−0.940966	+	0.338500i	$0.890080\pi$
$500$	2.48788	+	22.2218i	0.111262	+	0.993791i
$501$			9.95634i			0.444817i
$502$	−5.34821	−	17.3166i	−0.238702	−	0.772879i
$503$	−7.15930	+	7.15930i	−0.319218	+	0.319218i	−0.848467	−	0.529249i	$-0.822474\pi$
$503$	−7.15930	+	7.15930i	−0.319218	+	0.319218i	0.529249	+	0.848467i	$0.322474\pi$
$504$	−14.0026	+	1.59282i	−0.623726	+	0.0709500i
$505$	39.5276	−	14.9262i	1.75896	−	0.664205i
$506$	−14.5693	+	27.5901i	−0.647683	+	1.22653i
$507$	−10.2529	−	1.21897i	−0.455349	−	0.0541365i
$508$	−12.8744	−	2.42649i	−0.571207	−	0.107658i
$509$	42.1615			1.86877			0.934387	−	0.356259i	$-0.115948\pi$
$509$	42.1615			1.86877			0.934387	+	0.356259i	$0.115948\pi$
$510$	−1.72992	−	2.22615i	−0.0766019	−	0.0985754i
$511$			17.4672i			0.772701i
$512$	20.4179	+	9.75246i	0.902351	+	0.431002i
$513$	0.306462	−	0.306462i	0.0135306	−	0.0135306i
$514$	−4.32915	+	8.19821i	−0.190951	+	0.361607i
$515$	−10.3508	+	22.9109i	−0.456111	+	1.00957i
$516$	3.11040	+	4.55516i	0.136928	+	0.200530i
$517$	−17.6880	+	17.6880i	−0.777918	+	0.777918i
$518$	13.0703	−	4.03675i	0.574278	−	0.177365i
$519$	−9.57278			−0.420198
$520$	−16.4826	−	15.7583i	−0.722808	−	0.691049i
$521$	7.84375			0.343641			0.171821	−	0.985128i	$-0.445035\pi$
$521$	7.84375			0.343641			0.171821	+	0.985128i	$0.445035\pi$
$522$	10.1120	−	3.12309i	0.442592	−	0.136694i
$523$	−23.4710	+	23.4710i	−1.02631	+	1.02631i	−0.0266693	+	0.999644i	$0.508490\pi$
$523$	−23.4710	+	23.4710i	−1.02631	+	1.02631i	−0.999644	+	0.0266693i	$0.991510\pi$
$524$	−23.5141	−	34.4362i	−1.02722	−	1.50435i
$525$	−5.52036	−	6.26726i	−0.240928	−	0.273526i
$526$	19.6422	−	37.1968i	0.856439	−	1.62186i
$527$	4.41178	−	4.41178i	0.192180	−	0.192180i
$528$	−6.64954	−	15.1820i	−0.289384	−	0.660714i
$529$			5.11676i			0.222468i
$530$	−30.8122	−	3.86495i	−1.33840	−	0.167883i
$531$	24.9990			1.08486
$532$	−0.420087	−	0.0791757i	−0.0182131	−	0.00343270i
$533$	21.0161	+	10.2004i	0.910309	+	0.441826i
$534$	3.40720	−	6.45229i	0.147444	−	0.279218i
$535$	−38.4222	−	17.3586i	−1.66114	−	0.750478i
$536$	−2.88240	−	25.3393i	−0.124501	−	1.09449i
$537$	10.9770	−	10.9770i	0.473694	−	0.473694i
$538$	4.71695	+	15.2727i	0.203362	+	0.658454i
$539$			13.4444i			0.579091i
$540$	−18.7806	+	3.31613i	−0.808188	+	0.142703i
$541$			23.2720i			1.00054i	0.865869	+	0.500271i	$0.166766\pi$
$541$			23.2720i			1.00054i	−0.865869	+	0.500271i	$0.833234\pi$
$542$	−1.26051	+	0.389306i	−0.0541436	+	0.0167221i
$543$	−6.29494	+	6.29494i	−0.270142	+	0.270142i
$544$	4.15043	+	4.80560i	0.177948	+	0.206039i
$545$	−36.1867	+	13.6646i	−1.55007	+	0.585327i
$546$	8.41862	+	1.29226i	0.360283	+	0.0553038i
$547$	−11.5816	−	11.5816i	−0.495195	−	0.495195i	0.414743	−	0.909938i	$-0.363871\pi$
$547$	−11.5816	−	11.5816i	−0.495195	−	0.495195i	−0.909938	+	0.414743i	$0.863871\pi$
$548$	0.332154	+	0.0626026i	0.0141889	+	0.00267425i
$549$		−	3.54632i		−	0.151353i
$550$	−19.2544	+	31.4666i	−0.821009	+	1.34174i
$551$	0.321026			0.0136762
$552$	7.43367	+	5.91521i	0.316398	+	0.251768i
$553$	2.13008	−	2.13008i	0.0905802	−	0.0905802i
$554$	14.6871	−	27.8132i	0.623995	−	1.18167i
$555$	7.64170	−	2.88561i	0.324372	−	0.122487i
$556$	−33.3476	+	22.7707i	−1.41425	+	0.965692i
$557$	−1.38433	−	1.38433i	−0.0586558	−	0.0586558i	0.677170	−	0.735826i	$-0.263206\pi$
$557$	−1.38433	−	1.38433i	−0.0586558	−	0.0586558i	−0.735826	+	0.677170i	$0.763206\pi$
$558$	−5.49564	−	17.7940i	−0.232649	−	0.753279i
$559$	4.09876	+	11.8299i	0.173359	+	0.500350i
$560$	13.1470	+	13.4534i	0.555563	+	0.568512i
$561$		−	4.65118i		−	0.196373i
$562$	12.5312	+	40.5741i	0.528598	+	1.71152i
$563$	1.09528	−	1.09528i	0.0461608	−	0.0461608i	−0.683650	−	0.729810i	$-0.739608\pi$
$563$	1.09528	−	1.09528i	0.0461608	−	0.0461608i	0.729810	+	0.683650i	$0.239608\pi$
$564$	4.29497	+	6.28996i	0.180851	+	0.264855i
$565$	−34.5774	−	15.6216i	−1.45468	−	0.657205i
$566$	−13.6459	+	25.8415i	−0.573581	+	1.08620i
$567$	−5.53286	+	5.53286i	−0.232358	+	0.232358i
$568$	3.05635	−	3.84093i	0.128242	−	0.161162i
$569$		−	26.0963i		−	1.09401i	−0.837129	−	0.547006i	$-0.815767\pi$
$569$		−	26.0963i		−	1.09401i	0.837129	−	0.547006i	$-0.184233\pi$
$570$	−0.253276	−	0.0317698i	−0.0106086	−	0.00133069i
$571$			38.4087i			1.60735i	0.595066	+	0.803677i	$0.297126\pi$
$571$			38.4087i			1.60735i	−0.595066	+	0.803677i	$0.702874\pi$
$572$	−5.51937	−	37.2136i	−0.230776	−	1.55598i
$573$	8.10423	+	8.10423i	0.338559	+	0.338559i
$574$	−17.0403	−	8.99834i	−0.711250	−	0.375584i
$575$	1.33708	−	21.1020i	0.0557601	−	0.880013i
$576$	18.4692	−	4.25690i	0.769550	−	0.177371i
$577$	−7.40764	−	7.40764i	−0.308384	−	0.308384i	0.535898	−	0.844282i	$-0.319973\pi$
$577$	−7.40764	−	7.40764i	−0.308384	−	0.308384i	−0.844282	+	0.535898i	$0.819973\pi$
$578$	−6.56872	−	21.2685i	−0.273223	−	0.884651i
$579$			8.21169i			0.341266i
$580$	−11.5734	−	8.09970i	−0.480560	−	0.336322i
$581$	−30.6264			−1.27060
$582$	−10.0628	+	3.10788i	−0.417117	+	0.128826i
$583$	−36.2262	−	36.2262i	−1.50034	−	1.50034i
$584$	−2.65507	−	23.3409i	−0.109868	−	0.965853i
$585$	−19.0222	−	1.73210i	−0.786472	−	0.0716137i
$586$	7.99186	−	15.1343i	0.330141	−	0.625194i
$587$	2.55282	−	2.55282i	0.105366	−	0.105366i	−0.652458	−	0.757825i	$-0.726262\pi$
$587$	2.55282	−	2.55282i	0.105366	−	0.105366i	0.757825	+	0.652458i	$0.226262\pi$
$588$	4.02272	+	0.758180i	0.165894	+	0.0312668i
$589$		−	0.564904i		−	0.0232765i
$590$	−20.4744	−	26.3475i	−0.842918	−	1.08471i
$591$	−5.14802			−0.211761
$592$	−16.8519	+	7.38094i	−0.692611	+	0.303355i
$593$	−11.4211	+	11.4211i	−0.469008	+	0.469008i	−0.901593	−	0.432585i	$-0.857602\pi$
$593$	−11.4211	+	11.4211i	−0.469008	+	0.469008i	0.432585	+	0.901593i	$0.357602\pi$
$594$	−27.8222	−	14.6918i	−1.14156	−	0.602813i
$595$	1.86479	+	4.93835i	0.0764489	+	0.202453i
$596$	−15.7194	+	10.7337i	−0.643891	+	0.439668i
$597$	−1.04324	+	1.04324i	−0.0426969	+	0.0426969i
$598$	12.7575	+	17.3842i	0.521691	+	0.710894i
$599$	32.8264			1.34125			0.670625	−	0.741796i	$-0.266026\pi$
$599$	32.8264			1.34125			0.670625	+	0.741796i	$0.266026\pi$
$600$	8.32936	+	7.53565i	0.340045	+	0.307642i
$601$	4.74265			0.193457			0.0967284	−	0.995311i	$-0.469162\pi$
$601$	4.74265			0.193457			0.0967284	+	0.995311i	$0.469162\pi$
$602$	−3.04761	−	9.86767i	−0.124211	−	0.402176i
$603$	−15.1051	−	15.1051i	−0.615129	−	0.615129i
$604$	6.12721	−	4.18384i	0.249313	−	0.170238i
$605$	−33.9254	+	12.8107i	−1.37927	+	0.520829i
$606$	9.91070	−	18.7681i	0.402594	−	0.762401i
$607$	−12.6061	−	12.6061i	−0.511664	−	0.511664i	0.403372	−	0.915036i	$-0.367838\pi$
$607$	−12.6061	−	12.6061i	−0.511664	−	0.511664i	−0.915036	+	0.403372i	$0.867838\pi$
$608$	0.573385	+	0.0419456i	0.0232539	+	0.00170112i
$609$	5.27620			0.213802
$610$	−3.73762	+	2.90447i	−0.151332	+	0.117599i
$611$	5.65974	+	16.3352i	0.228968	+	0.660850i
$612$	5.22676	+	0.985112i	0.211279	+	0.0398208i
$613$	18.6468	−	18.6468i	0.753135	−	0.753135i	−0.221928	−	0.975063i	$-0.571235\pi$
$613$	18.6468	−	18.6468i	0.753135	−	0.753135i	0.975063	+	0.221928i	$0.0712349\pi$
$614$	−12.4270	+	23.5334i	−0.501515	+	0.949729i
$615$	−10.4862	−	4.73754i	−0.422846	−	0.191036i
$616$	3.50748	+	30.8344i	0.141320	+	1.24235i
$617$	9.07508	+	9.07508i	0.365349	+	0.365349i	0.865778	−	0.500429i	$-0.166824\pi$
$617$	9.07508	+	9.07508i	0.365349	+	0.365349i	−0.500429	+	0.865778i	$0.666824\pi$
$618$	3.72666	+	12.0663i	0.149908	+	0.485378i
$619$		−	38.4906i		−	1.54707i	−0.633754	−	0.773535i	$-0.718487\pi$
$619$		−	38.4906i		−	1.54707i	0.633754	−	0.773535i	$-0.281513\pi$
$620$	−14.2529	+	20.3655i	−0.572410	+	0.817900i
$621$	18.0337			0.723666
$622$	5.16893	+	16.7362i	0.207255	+	0.671059i
$623$	−9.66047	+	9.66047i	−0.387039	+	0.387039i
$624$	−11.4460	−	0.447157i	−0.458207	−	0.0179006i
$625$	3.15547	−	24.8001i	0.126219	−	0.992002i
$626$	16.1082	+	8.50609i	0.643811	+	0.339972i
$627$	−0.297779	−	0.297779i	−0.0118921	−	0.0118921i
$628$	−1.33692	+	7.09337i	−0.0533489	+	0.283056i
$629$	−5.16277			−0.205853
$630$	15.6338	+	1.96104i	0.622867	+	0.0781297i
$631$	36.4065			1.44932			0.724660	−	0.689107i	$-0.241997\pi$
$631$	36.4065			1.44932			0.724660	+	0.689107i	$0.241997\pi$
$632$	−2.52259	+	3.17015i	−0.100343	+	0.126102i
$633$	2.39593	+	2.39593i	0.0952296	+	0.0952296i
$634$	17.4260	+	9.20197i	0.692073	+	0.365457i
$635$	13.3483	+	6.03059i	0.529712	+	0.239317i
$636$	−12.8822	+	8.79638i	−0.510814	+	0.348799i
$637$	8.35898	+	4.05711i	0.331195	+	0.160748i
$638$	−6.87719	−	22.2672i	−0.272270	−	0.881567i
$639$		−	4.11156i		−	0.162651i
$640$	−19.6130	−	15.9791i	−0.775271	−	0.631628i
$641$	−13.3606			−0.527712			−0.263856	−	0.964562i	$-0.584994\pi$
$641$	−13.3606			−0.527712			−0.263856	+	0.964562i	$0.584994\pi$
$642$	−20.2355	+	6.24970i	−0.798632	+	0.246656i
$643$	16.9126	+	16.9126i	0.666968	+	0.666968i	0.957013	−	0.290045i	$-0.0936702\pi$
$643$	16.9126	+	16.9126i	0.666968	+	0.666968i	−0.290045	+	0.957013i	$0.593670\pi$
$644$	−10.0304	−	14.6895i	−0.395253	−	0.578846i
$645$	−2.17854	−	5.76923i	−0.0857800	−	0.227163i
$646$	0.142666	+	0.0753364i	0.00561312	+	0.00296407i
$647$	20.3051	+	20.3051i	0.798274	+	0.798274i	0.982823	−	0.184549i	$-0.0590824\pi$
$647$	20.3051	+	20.3051i	0.798274	+	0.798274i	−0.184549	+	0.982823i	$0.559082\pi$
$648$	6.55239	−	8.23442i	0.257402	−	0.323479i
$649$		−	55.0490i		−	2.16086i
$650$	13.7539	+	21.4670i	0.539470	+	0.842005i
$651$		−	9.28443i		−	0.363885i
$652$	10.5387	+	1.98627i	0.412725	+	0.0777883i
$653$	21.8481	+	21.8481i	0.854982	+	0.854982i	0.990742	−	0.135760i	$-0.0433475\pi$
$653$	21.8481	+	21.8481i	0.854982	+	0.854982i	−0.135760	+	0.990742i	$0.543348\pi$
$654$	−9.07304	+	17.1818i	−0.354784	+	0.671861i
$655$	16.4694	+	43.6144i	0.643512	+	1.70416i
$656$	24.1383	+	9.43405i	0.942444	+	0.368338i
$657$	−13.9138	−	13.9138i	−0.542831	−	0.542831i
$658$	−4.20827	−	13.6257i	−0.164055	−	0.531185i
$659$	−19.3163			−0.752456			−0.376228	−	0.926527i	$-0.622779\pi$
$659$	−19.3163			−0.752456			−0.376228	+	0.926527i	$0.622779\pi$
$660$	3.22217	+	18.2485i	0.125423	+	0.710320i
$661$			5.24920i			0.204170i	0.994776	+	0.102085i	$0.0325514\pi$
$661$			5.24920i			0.204170i	−0.994776	+	0.102085i	$0.967449\pi$
$662$	36.3148	−	11.2158i	1.41142	−	0.435913i
$663$	−2.89185	−	1.40358i	−0.112310	−	0.0545107i
$664$	40.9253	−	4.65533i	1.58821	−	0.180662i
$665$	0.435552	+	0.196777i	0.0168900	+	0.00763067i
$666$	−7.19590	+	13.6270i	−0.278835	+	0.528036i
$667$	9.44535	+	9.44535i	0.365725	+	0.365725i
$668$	−4.64355	+	24.6375i	−0.179664	+	0.953254i
$669$	13.5584			0.524198
$670$	−3.54872	+	28.2912i	−0.137099	+	1.09299i
$671$	−7.80917			−0.301470
$672$	9.42382	+	0.689394i	0.363532	+	0.0265939i
$673$	−9.09875	−	9.09875i	−0.350731	−	0.350731i	0.509650	−	0.860382i	$-0.329775\pi$
$673$	−9.09875	−	9.09875i	−0.350731	−	0.350731i	−0.860382	+	0.509650i	$0.829775\pi$
$674$	11.1055	−	21.0307i	0.427769	−	0.810074i
$675$	21.2795	+	1.34833i	0.819048	+	0.0518972i
$676$	−24.8030	−	7.79829i	−0.953960	−	0.299934i
$677$	11.0809	−	11.0809i	0.425873	−	0.425873i	−0.461347	−	0.887220i	$-0.652634\pi$
$677$	11.0809	−	11.0809i	0.425873	−	0.425873i	0.887220	+	0.461347i	$0.152634\pi$
$678$	−18.2106	+	5.62431i	−0.699374	+	0.216000i
$679$	19.7193			0.756759
$680$	−3.24252	−	6.31553i	−0.124345	−	0.242190i
$681$		−	10.9060i		−	0.417920i
$682$	−39.1832	+	12.1017i	−1.50040	+	0.463396i
$683$	10.4003	+	10.4003i	0.397957	+	0.397957i	0.877512	−	0.479555i	$-0.159202\pi$
$683$	10.4003	+	10.4003i	0.397957	+	0.397957i	−0.479555	+	0.877512i	$0.659202\pi$
$684$	0.397698	−	0.271560i	0.0152064	−	0.0103834i
$685$	−0.344382	−	0.155587i	−0.0131582	−	0.00594468i
$686$	−25.1880	−	13.3008i	−0.961682	−	0.507827i
$687$	5.47199	−	5.47199i	0.208769	−	0.208769i
$688$	5.57236	+	12.7227i	0.212444	+	0.485047i
$689$	−33.4555	+	11.5915i	−1.27455	+	0.441602i
$690$	−6.51723	−	8.38672i	−0.248107	−	0.319277i
$691$	−7.44985			−0.283406			−0.141703	−	0.989909i	$-0.545258\pi$
$691$	−7.44985			−0.283406			−0.141703	+	0.989909i	$0.545258\pi$
$692$	−23.6884	−	4.46466i	−0.900496	−	0.169721i
$693$	18.3808	+	18.3808i	0.698231	+	0.698231i
$694$	13.7999	+	7.28719i	0.523837	+	0.276618i
$695$	42.2356	−	15.9487i	1.60209	−	0.604969i
$696$	−7.05044	+	0.802001i	−0.267246	+	0.0303998i
$697$	5.14262	+	5.14262i	0.194791	+	0.194791i
$698$	31.1904	−	9.63310i	1.18057	−	0.364618i
$699$	2.69634			0.101985
$700$	−10.7374	−	18.0833i	−0.405837	−	0.683485i
$701$	26.0315			0.983196			0.491598	−	0.870822i	$-0.336413\pi$
$701$	26.0315			0.983196			0.491598	+	0.870822i	$0.336413\pi$
$702$	−17.5305	+	12.8648i	−0.661645	+	0.485550i
$703$	−0.330532	+	0.330532i	−0.0124662	+	0.0124662i
$704$	−9.37389	−	40.6701i	−0.353292	−	1.53281i
$705$	−3.00822	−	7.96640i	−0.113296	−	0.300032i
$706$	11.6284	−	22.0209i	0.437641	−	0.828769i
$707$	−28.0999	+	28.0999i	−1.05680	+	1.05680i
$708$	−16.4713	−	3.10442i	−0.619029	−	0.116671i
$709$	−29.8029			−1.11927			−0.559636	−	0.828738i	$-0.689059\pi$
$709$	−29.8029			−1.11927			−0.559636	+	0.828738i	$0.689059\pi$
$710$	−4.33336	+	3.36741i	−0.162628	+	0.126377i
$711$			3.39352i			0.127267i
$712$	11.4406	−	14.3775i	0.428755	−	0.538818i
$713$	16.6208	−	16.6208i	0.622454	−	0.622454i
$714$	2.34478	+	1.23819i	0.0877510	+	0.0463379i
$715$	−3.81418	+	41.8879i	−0.142642	+	1.56652i
$716$	32.2828	−	22.0437i	1.20647	−	0.823810i
$717$	−8.32952	−	8.32952i	−0.311072	−	0.311072i
$718$	0.536394	+	1.73676i	0.0200181	+	0.0648152i
$719$	3.67225			0.136952			0.0684760	−	0.997653i	$-0.478186\pi$
$719$	3.67225			0.136952			0.0684760	+	0.997653i	$0.478186\pi$
$720$	−21.1892	−	0.244083i	−0.789674	−	0.00909643i
$721$		−	23.6455i		−	0.880603i
$722$	−25.6595	+	7.92490i	−0.954949	+	0.294934i
$723$	−5.27837	−	5.27837i	−0.196305	−	0.196305i
$724$	−18.5131	+	12.6413i	−0.688033	+	0.469809i
$725$	10.4392	+	11.8516i	0.387701	+	0.440157i
$726$	−8.50607	+	16.1081i	−0.315690	+	0.597828i
$727$	−20.5737	−	20.5737i	−0.763037	−	0.763037i	0.213833	−	0.976870i	$-0.431405\pi$
$727$	−20.5737	−	20.5737i	−0.763037	−	0.763037i	−0.976870	+	0.213833i	$0.931405\pi$
$728$	20.2296	+	7.12414i	0.749760	+	0.264038i
$729$			1.34635i			0.0498646i
$730$	−3.26885	+	26.0600i	−0.120985	+	0.964523i
$731$			3.89772i			0.144162i
$732$	−0.440389	+	2.33659i	−0.0162772	+	0.0863630i
$733$	−12.1861	+	12.1861i	−0.450105	+	0.450105i	−0.895389	−	0.445284i	$-0.853103\pi$
$733$	−12.1861	+	12.1861i	−0.450105	+	0.450105i	0.445284	+	0.895389i	$0.353103\pi$
$734$	5.35918	+	2.82998i	0.197811	+	0.104456i
$735$	−4.17082	−	1.88432i	−0.153843	−	0.0695041i
$736$	15.6362	+	18.1045i	0.576358	+	0.667340i
$737$	−33.2622	+	33.2622i	−1.22523	+	1.22523i
$738$	20.7417	−	6.40603i	0.763512	−	0.235809i
$739$		−	40.3506i		−	1.48432i	−0.670223	−	0.742160i	$-0.733802\pi$
$739$		−	40.3506i		−	1.48432i	0.670223	−	0.742160i	$-0.266198\pi$
$740$	20.2556	−	3.57658i	0.744612	−	0.131478i
$741$	−0.275003	+	0.0952820i	−0.0101025	+	0.00350027i
$742$	27.9063	−	8.61881i	1.02447	−	0.316407i
$743$	28.7552	+	28.7552i	1.05493	+	1.05493i	0.998401	+	0.0565244i	$0.0180019\pi$
$743$	28.7552	+	28.7552i	1.05493	+	1.05493i	0.0565244	+	0.998401i	$0.481998\pi$
$744$	1.41127	+	12.4065i	0.0517396	+	0.454846i
$745$	19.9090	−	7.51791i	0.729410	−	0.275435i
$746$	−22.1880	−	11.7166i	−0.812362	−	0.428977i
$747$	24.3961	−	24.3961i	0.892608	−	0.892608i
$748$	2.16927	−	11.5096i	0.0793162	−	0.420832i
$749$	39.6541			1.44893
$750$	−7.06319	−	10.3835i	−0.257911	−	0.379151i
$751$		−	15.9959i		−	0.583698i	−0.956464	−	0.291849i	$-0.905730\pi$
$751$		−	15.9959i		−	0.583698i	0.956464	−	0.291849i	$-0.0942704\pi$
$752$	7.69455	+	17.5680i	0.280592	+	0.640638i
$753$	7.19731	+	7.19731i	0.262285	+	0.262285i
$754$	−15.9199	−	2.44371i	−0.579767	−	0.0889947i
$755$	−7.76027	+	2.93038i	−0.282425	+	0.106648i
$756$	14.8130	−	10.1148i	0.538745	−	0.367871i
$757$	−17.8098	+	17.8098i	−0.647308	+	0.647308i	−0.952342	−	0.305033i	$-0.901332\pi$
$757$	−17.8098	+	17.8098i	−0.647308	+	0.647308i	0.305033	+	0.952342i	$0.401332\pi$
$758$	−8.30104	−	26.8774i	−0.301507	−	0.976232i
$759$		−	17.5227i		−	0.636034i
$760$	−0.611928	−	0.196742i	−0.0221970	−	0.00713657i
$761$		−	17.5187i		−	0.635053i	−0.948249	−	0.317526i	$-0.897148\pi$
$761$		−	17.5187i		−	0.635053i	0.948249	−	0.317526i	$-0.102852\pi$
$762$	7.03007	−	2.17122i	0.254672	−	0.0786551i
$763$	25.7249	−	25.7249i	0.931302	−	0.931302i
$764$	16.2746	+	23.8341i	0.588795	+	0.862287i
$765$	−5.41919	−	2.44831i	−0.195931	−	0.0885190i
$766$	−3.44383	−	1.81855i	−0.124430	−	0.0657069i
$767$	−34.2264	−	16.6121i	−1.23585	−	0.599829i
$768$	−12.6976	+	0.511238i	−0.458185	+	0.0184477i
$769$	−0.804873			−0.0290244			−0.0145122	−	0.999895i	$-0.504620\pi$
$769$	−0.804873			−0.0290244			−0.0145122	+	0.999895i	$0.504620\pi$
$770$	4.31830	−	34.4265i	0.155621	−	1.24064i
$771$		−	5.20675i		−	0.187516i
$772$	−3.82986	+	20.3203i	−0.137840	+	0.731343i
$773$	9.62801	−	9.62801i	0.346296	−	0.346296i	−0.512432	−	0.858728i	$-0.671255\pi$
$773$	9.62801	−	9.62801i	0.346296	−	0.346296i	0.858728	+	0.512432i	$0.171255\pi$
$774$	10.2880	+	5.43267i	0.369793	+	0.195273i
$775$	20.8550	−	18.3696i	0.749134	−	0.659856i
$776$	−26.3504	+	2.99741i	−0.945925	+	0.107601i
$777$	−5.43243	+	5.43243i	−0.194887	+	0.194887i
$778$	−6.35248	−	20.5683i	−0.227747	−	0.737409i
$779$	0.658485			0.0235927
$780$	12.3183	+	3.50346i	0.441064	+	0.125444i
$781$	−9.05387			−0.323973
$782$	1.98100	+	6.41415i	0.0708403	+	0.229370i
$783$	−9.52480	+	9.52480i	−0.340389	+	0.340389i
$784$	9.60082	+	3.75232i	0.342887	+	0.134011i
$785$	3.32267	−	7.35452i	0.118591	−	0.262494i
$786$	20.7085	+	10.9354i	0.738648	+	0.390052i
$787$	26.3346	−	26.3346i	0.938728	−	0.938728i	−0.0594999	−	0.998228i	$-0.518951\pi$
$787$	26.3346	−	26.3346i	0.938728	−	0.938728i	0.998228	+	0.0594999i	$0.0189506\pi$
$788$	−12.7391	−	2.40099i	−0.453810	−	0.0855317i
$789$			23.6240i			0.841036i
$790$	3.57659	−	2.77933i	0.127249	−	0.0988841i
$791$	35.6860			1.26885
$792$	−27.3558	−	21.7679i	−0.972046	−	0.773488i
$793$	−2.35657	+	4.85532i	−0.0836843	+	0.172417i
$794$	11.1254	+	5.87487i	0.394825	+	0.208492i
$795$	16.3157	−	6.16103i	0.578659	−	0.218509i
$796$	−3.06810	+	2.09499i	−0.108746	+	0.0742550i
$797$	22.1645	−	22.1645i	0.785106	−	0.785106i	−0.195582	−	0.980687i	$-0.562659\pi$
$797$	22.1645	−	22.1645i	0.785106	−	0.785106i	0.980687	+	0.195582i	$0.0626595\pi$
$798$	0.229389	−	0.0708464i	0.00812029	−	0.00250794i
$799$			5.38213i			0.190406i
$800$	17.0969	+	22.5321i	0.604466	+	0.796631i
$801$		−	15.3905i		−	0.543797i
$802$	3.77889	+	12.2354i	0.133437	+	0.432048i
$803$	−30.6390	+	30.6390i	−1.08123	+	1.08123i
$804$	8.07667	+	11.8282i	0.284842	+	0.417150i
$805$	7.02535	+	18.6046i	0.247611	+	0.655726i
$806$	−4.30015	+	28.0139i	−0.151466	+	0.986747i
$807$	−6.34781	−	6.34781i	−0.223453	−	0.223453i
$808$	33.2778	−	41.8204i	1.17071	−	1.47124i
$809$		−	1.51933i		−	0.0534167i	−0.999643	−	0.0267083i	$-0.991497\pi$
$809$		−	1.51933i		−	0.0534167i	0.999643	−	0.0267083i	$-0.00850254\pi$
$810$	−9.29013	+	7.21927i	−0.326422	+	0.253659i
$811$	35.6276			1.25105			0.625527	−	0.780202i	$-0.284884\pi$
$811$	35.6276			1.25105			0.625527	+	0.780202i	$0.284884\pi$
$812$	13.0562	+	2.46077i	0.458184	+	0.0863561i
$813$	0.523906	−	0.523906i	0.0183742	−	0.0183742i
$814$	30.0074	+	15.8457i	1.05176	+	0.555392i
$815$	−10.9266	−	4.93650i	−0.382744	−	0.172918i
$816$	−3.32147	−	1.29814i	−0.116275	−	0.0454440i
$817$	0.249541	+	0.249541i	0.00873032	+	0.00873032i
$818$	12.8947	−	3.98249i	0.450852	−	0.139245i
$819$	16.9750	−	5.88143i	0.593154	−	0.205514i
$820$	−23.7392	−	16.6140i	−0.829010	−	0.580185i
$821$			46.2038i			1.61252i	0.591558	+	0.806262i	$0.298513\pi$
$821$			46.2038i			1.61252i	−0.591558	+	0.806262i	$0.701487\pi$
$822$	−0.181373	+	0.0560168i	−0.00632612	+	0.00195381i
$823$	27.3526	−	27.3526i	0.953451	−	0.953451i	−0.0455126	−	0.998964i	$-0.514492\pi$
$823$	27.3526	−	27.3526i	0.953451	−	0.953451i	0.998964	+	0.0455126i	$0.0144921\pi$
$824$	3.59420	+	31.5968i	0.125210	+	1.10073i
$825$	1.31012	−	20.6765i	0.0456127	−	0.719865i
$826$	27.7516	+	14.6545i	0.965601	+	0.509897i
$827$	−0.657877	+	0.657877i	−0.0228766	+	0.0228766i	−0.718453	−	0.695576i	$-0.755149\pi$
$827$	−0.657877	+	0.657877i	−0.0228766	+	0.0228766i	0.695576	+	0.718453i	$0.255149\pi$
$828$	19.6912	+	3.71128i	0.684315	+	0.128976i
$829$			35.9608i			1.24897i	0.781036	+	0.624485i	$0.214691\pi$
$829$			35.9608i			1.24897i	−0.781036	+	0.624485i	$0.785309\pi$
$830$	−45.6928	−	5.73151i	−1.58602	−	0.198943i
$831$			17.6644i			0.612772i
$832$	−28.1152	−	6.44482i	−0.974719	−	0.223434i
$833$	2.04544	+	2.04544i	0.0708701	+	0.0708701i
$834$	10.5897	−	20.0538i	0.366690	−	0.694408i
$835$	11.5407	−	25.5446i	0.399382	−	0.884006i
$836$	−0.597988	−	0.875751i	−0.0206819	−	0.0302885i
$837$	16.7606	+	16.7606i	0.579332	+	0.579332i
$838$	−23.1137	+	7.13861i	−0.798448	+	0.246599i
$839$			32.6599i			1.12754i	0.825930	+	0.563772i	$0.190650\pi$
$839$			32.6599i			1.12754i	−0.825930	+	0.563772i	$0.809350\pi$
$840$	−10.0573	−	3.23353i	−0.347009	−	0.111567i
$841$	19.0225			0.655950
$842$	−3.16801	−	10.2575i	−0.109177	−	0.353497i
$843$	−16.8638	−	16.8638i	−0.580821	−	0.580821i
$844$	4.81142	+	7.04629i	0.165616	+	0.242543i
$845$	24.8926	+	15.0119i	0.856331	+	0.516427i
$846$	14.2060	+	7.50165i	0.488413	+	0.257912i
$847$	24.1173	−	24.1173i	0.828681	−	0.828681i
$848$	−35.9804	+	15.7590i	−1.23557	+	0.541165i
$849$		−	16.4122i		−	0.563264i
$850$	1.85798	+	7.71672i	0.0637282	+	0.264681i
$851$	−19.4501			−0.666739
$852$	−0.510582	+	2.70902i	−0.0174923	+	0.0928096i
$853$	22.3999	−	22.3999i	0.766957	−	0.766957i	−0.210612	−	0.977570i	$-0.567546\pi$
$853$	22.3999	−	22.3999i	0.766957	−	0.766957i	0.977570	+	0.210612i	$0.0675458\pi$
$854$	2.07887	−	3.93680i	0.0711375	−	0.134715i
$855$	−0.503695	+	0.190202i	−0.0172260	+	0.00650478i
$856$	−52.9887	+	6.02757i	−1.81112	+	0.206018i
$857$	14.2520	−	14.2520i	0.486839	−	0.486839i	−0.420468	−	0.907307i	$-0.638134\pi$
$857$	14.2520	−	14.2520i	0.486839	−	0.486839i	0.907307	+	0.420468i	$0.138134\pi$
$858$	12.5003	+	17.0338i	0.426752	+	0.581523i
$859$	−12.2688			−0.418605			−0.209303	−	0.977851i	$-0.567119\pi$
$859$	−12.2688			−0.418605			−0.209303	+	0.977851i	$0.567119\pi$
$860$	−2.70020	−	15.2923i	−0.0920760	−	0.521464i
$861$	10.8225			0.368829
$862$	38.2476	−	11.8127i	1.30272	−	0.402342i
$863$	10.4213	+	10.4213i	0.354747	+	0.354747i	0.861872	−	0.507126i	$-0.169292\pi$
$863$	10.4213	+	10.4213i	0.354747	+	0.354747i	−0.507126	+	0.861872i	$0.669292\pi$
$864$	−18.2568	+	15.7677i	−0.621108	+	0.536429i
$865$	24.5605	+	11.0961i	0.835081	+	0.377278i
$866$	−22.0496	−	11.6435i	−0.749275	−	0.395663i
$867$	8.83981	+	8.83981i	0.300216	+	0.300216i
$868$	4.33017	−	22.9748i	0.146976	−	0.779816i
$869$	7.47270			0.253494
$870$	7.87178	+	0.987401i	0.266878	+	0.0334760i
$871$	10.6431	+	30.7182i	0.360628	+	1.04085i
$872$	−30.4652	+	38.2857i	−1.03168	+	1.29652i
$873$	−15.7079	+	15.7079i	−0.531631	+	0.531631i
$874$	0.537476	+	0.283820i	0.0181804	+	0.00960037i
$875$	6.89880	+	22.4784i	0.233222	+	0.759910i
$876$	7.43969	+	10.8954i	0.251364	+	0.368121i
$877$	−9.81104	−	9.81104i	−0.331295	−	0.331295i	0.521783	−	0.853078i	$-0.325267\pi$
$877$	−9.81104	−	9.81104i	−0.331295	−	0.331295i	−0.853078	+	0.521783i	$0.825267\pi$
$878$	−0.247984	+	0.0765895i	−0.00836907	+	0.00258477i
$879$			9.61194i			0.324203i
$880$	−0.537482	+	46.6596i	−0.0181185	+	1.57289i
$881$	−10.8207			−0.364560			−0.182280	−	0.983247i	$-0.558348\pi$
$881$	−10.8207			−0.364560			−0.182280	+	0.983247i	$0.558348\pi$
$882$	8.24983	−	2.54794i	0.277786	−	0.0857938i
$883$	34.4122	−	34.4122i	1.15806	−	1.15806i	0.173171	−	0.984892i	$-0.444599\pi$
$883$	34.4122	−	34.4122i	1.15806	−	1.15806i	0.984892	−	0.173171i	$-0.0554014\pi$
$884$	−6.50141	−	4.82198i	−0.218666	−	0.162181i
$885$	17.0777	+	7.71547i	0.574061	+	0.259353i
$886$	5.31739	−	10.0697i	0.178641	−	0.338297i
$887$	16.6500	+	16.6500i	0.559053	+	0.559053i	0.929038	−	0.369985i	$-0.120637\pi$
$887$	16.6500	+	16.6500i	0.559053	+	0.559053i	−0.369985	+	0.929038i	$0.620637\pi$
$888$	6.43346	−	8.08495i	0.215893	−	0.271313i
$889$	−13.7763			−0.462043
$890$	−16.2208	+	12.6050i	−0.543721	+	0.422520i
$891$	−19.4103			−0.650268
$892$	33.5510	+	6.32351i	1.12337	+	0.211727i
$893$	0.344576	+	0.344576i	0.0115308	+	0.0115308i
$894$	4.99176	−	9.45299i	0.166949	−	0.316155i
$895$	−40.8871	+	15.4395i	−1.36670	+	0.516086i
$896$	22.9982	+	6.10113i	0.768317	+	0.203824i
$897$	−10.8947	−	5.28782i	−0.363762	−	0.176555i
$898$	−44.9229	+	13.8743i	−1.49910	+	0.462993i
$899$			17.5571i			0.585564i
$900$	22.9578	+	5.85151i	0.765260	+	0.195050i
$901$	−11.0230			−0.367228
$902$	−14.1064	−	45.6742i	−0.469691	−	1.52078i
$903$	4.10130	+	4.10130i	0.136483	+	0.136483i
$904$	−47.6863	+	5.42441i	−1.58602	+	0.180413i
$905$	23.4473	−	8.85401i	0.779414	−	0.294317i
$906$	−1.94572	+	3.68465i	−0.0646422	+	0.122414i
$907$	1.80681	+	1.80681i	0.0599942	+	0.0599942i	0.736467	−	0.676473i	$-0.236493\pi$
$907$	1.80681	+	1.80681i	0.0599942	+	0.0599942i	−0.676473	+	0.736467i	$0.736493\pi$
$908$	5.08648	−	26.9876i	0.168801	−	0.895615i
$909$		−	44.7671i		−	1.48483i
$910$	−20.1014	−	13.0738i	−0.666354	−	0.433391i
$911$			43.0711i			1.42701i	0.700651	+	0.713504i	$0.252893\pi$
$911$			43.0711i			1.42701i	−0.700651	+	0.713504i	$0.747107\pi$
$912$	−0.295758	+	0.129538i	−0.00979352	+	0.00428944i
$913$	−53.7215	−	53.7215i	−1.77792	−	1.77792i
$914$	7.84075	+	4.14040i	0.259349	+	0.136952i
$915$	1.09451	−	2.42262i	0.0361832	−	0.0800893i
$916$	16.0928	−	10.9886i	0.531721	−	0.363075i
$917$	−31.0051	−	31.0051i	−1.02388	−	1.02388i
$918$	−6.46810	+	1.99766i	−0.213479	+	0.0659327i
$919$	5.15410			0.170018			0.0850090	−	0.996380i	$-0.472908\pi$
$919$	5.15410			0.170018			0.0850090	+	0.996380i	$0.472908\pi$
$920$	−12.2158	−	23.7930i	−0.402742	−	0.784431i
$921$		−	14.9462i		−	0.492495i
$922$	−13.7674	−	44.5766i	−0.453406	−	1.46805i
$923$	−2.73218	+	5.62920i	−0.0899309	+	0.185287i
$924$	−9.82818	−	14.3933i	−0.323323	−	0.473506i
$925$	−22.9508	−	1.45423i	−0.754617	−	0.0478147i
$926$	25.2646	+	13.3412i	0.830245	+	0.438420i
$927$	18.8353	+	18.8353i	0.618633	+	0.618633i
$928$	−17.8207	−	1.30367i	−0.584995	−	0.0427949i
$929$	12.7259			0.417523			0.208762	−	0.977967i	$-0.433057\pi$
$929$	12.7259			0.417523			0.208762	+	0.977967i	$0.433057\pi$
$930$	1.73751	−	13.8518i	0.0569753	−	0.454219i
$931$	0.261907			0.00858365
$932$	6.67224	+	1.25755i	0.218556	+	0.0411924i
$933$	−6.95606	−	6.95606i	−0.227731	−	0.227731i
$934$	37.5988	+	19.8545i	1.23027	+	0.649658i
$935$	−5.39131	+	11.9333i	−0.176315	+	0.390261i
$936$	−21.7892	+	10.4395i	−0.712203	+	0.341224i
$937$	−2.50749	+	2.50749i	−0.0819160	+	0.0819160i	−0.746878	−	0.664962i	$-0.768448\pi$
$937$	−2.50749	+	2.50749i	−0.0819160	+	0.0819160i	0.664962	+	0.746878i	$0.268448\pi$
$938$	−7.91363	−	25.6231i	−0.258389	−	0.836622i
$939$	−10.2304			−0.333857
$940$	−3.72855	−	21.1163i	−0.121612	−	0.688738i
$941$			4.79697i			0.156377i	0.996939	+	0.0781884i	$0.0249136\pi$
$941$			4.79697i			0.156377i	−0.996939	+	0.0781884i	$0.975086\pi$
$942$	−1.19628	−	3.87335i	−0.0389768	−	0.126201i
$943$	19.3742	+	19.3742i	0.630910	+	0.630910i
$944$	−39.3112	−	15.3641i	−1.27947	−	0.500060i
$945$	−18.7611	+	7.08445i	−0.610299	+	0.230457i
$946$	11.9630	−	22.6546i	0.388951	−	0.736564i
$947$	−17.0867	+	17.0867i	−0.555243	+	0.555243i	−0.927949	−	0.372706i	$-0.878430\pi$
$947$	−17.0867	+	17.0867i	−0.555243	+	0.555243i	0.372706	+	0.927949i	$0.378430\pi$
$948$	0.421414	−	2.23592i	0.0136869	−	0.0726193i
$949$	9.80372	+	28.2955i	0.318242	+	0.918512i
$950$	0.612994	+	0.375090i	0.0198881	+	0.0121695i
$951$	−11.0674			−0.358884
$952$	5.22480	+	4.15754i	0.169337	+	0.134747i
$953$	−24.3625	−	24.3625i	−0.789180	−	0.789180i	0.192180	−	0.981360i	$-0.438444\pi$
$953$	−24.3625	−	24.3625i	−0.789180	−	0.789180i	−0.981360	+	0.192180i	$0.938444\pi$
$954$	−15.3639	+	29.0949i	−0.497424	+	0.941982i
$955$	−11.3988	−	30.1865i	−0.368857	−	0.976812i
$956$	−16.7270	−	24.4967i	−0.540991	−	0.792279i
$957$	9.25492	+	9.25492i	0.299169	+	0.299169i
$958$	11.7705	+	38.1111i	0.380289	+	1.23131i
$959$	0.355424			0.0114773
$960$	13.9308	+	2.79213i	0.449614	+	0.0901157i
$961$	−0.105013			−0.00338750
$962$	18.9073	−	13.8752i	0.609597	−	0.447354i
$963$	−31.5873	+	31.5873i	−1.01789	+	1.01789i
$964$	−10.5998	−	15.5234i	−0.341398	−	0.499975i
$965$	9.51840	−	21.0684i	0.306408	−	0.678216i
$966$	8.83364	+	4.66470i	0.284218	+	0.150084i
$967$	−11.1363	+	11.1363i	−0.358120	+	0.358120i	−0.863120	−	0.504999i	$-0.831493\pi$
$967$	−11.1363	+	11.1363i	−0.358120	+	0.358120i	0.504999	+	0.863120i	$0.331493\pi$
$968$	−28.5614	+	35.8933i	−0.917999	+	1.15365i
$969$	−0.0906084			−0.00291076
$970$	29.4201	+	3.69033i	0.944623	+	0.118489i
$971$		−	43.4865i		−	1.39555i	−0.716318	−	0.697774i	$-0.754174\pi$
$971$		−	43.4865i		−	1.39555i	0.716318	−	0.697774i	$-0.245826\pi$
$972$	−5.83360	+	30.9517i	−0.187113	+	0.992775i
$973$	−30.0249	+	30.0249i	−0.962555	+	0.962555i
$974$	5.23246	−	9.90881i	0.167659	−	0.317499i
$975$	−12.4602	−	7.05412i	−0.399045	−	0.225913i
$976$	−2.17953	+	5.57664i	−0.0697651	+	0.178504i
$977$	−21.5772	−	21.5772i	−0.690315	−	0.690315i	0.271986	−	0.962301i	$-0.412320\pi$
$977$	−21.5772	−	21.5772i	−0.690315	−	0.690315i	−0.962301	+	0.271986i	$0.912320\pi$
$978$	−5.75465	+	1.77731i	−0.184014	+	0.0568322i
$979$	−33.8907			−1.08315
$980$	−9.44208	−	6.60807i	−0.301616	−	0.211087i
$981$			40.9834i			1.30850i
$982$	8.26022	+	26.7452i	0.263594	+	0.853475i
$983$	−26.7928	−	26.7928i	−0.854556	−	0.854556i	0.136134	−	0.990690i	$-0.456532\pi$
$983$	−26.7928	−	26.7928i	−0.854556	−	0.854556i	−0.990690	+	0.136134i	$0.956532\pi$
$984$	−14.4618	+	1.64505i	−0.461024	+	0.0524424i
$985$	13.2081	+	5.96722i	0.420844	+	0.190131i
$986$	−4.43405	−	2.34145i	−0.141209	−	0.0745669i
$987$	5.66325	+	5.66325i	0.180263	+	0.180263i
$988$	−0.724949	+	0.107521i	−0.0230637	+	0.00342071i
$989$			14.6841i			0.466929i
$990$	23.9833	+	30.8630i	0.762240	+	0.980891i
$991$		−	27.9850i		−	0.888974i	−0.895785	−	0.444487i	$-0.853386\pi$
$991$		−	27.9850i		−	0.888974i	0.895785	−	0.444487i	$-0.146614\pi$
$992$	−2.29404	+	31.3588i	−0.0728357	+	0.995644i
$993$	−15.0935	+	15.0935i	−0.478979	+	0.478979i
$994$	2.41022	−	4.56428i	0.0764476	−	0.144770i
$995$	3.88584	−	1.46734i	0.123189	−	0.0465179i
$996$	−19.1037	+	13.0445i	−0.605323	+	0.413332i
$997$	0.965726	−	0.965726i	0.0305848	−	0.0305848i	−0.691649	−	0.722234i	$-0.743115\pi$
$997$	0.965726	−	0.965726i	0.0305848	−	0.0305848i	0.722234	+	0.691649i	$0.243115\pi$
$998$	−6.31124	−	20.4348i	−0.199779	−	0.646852i
$999$		−	19.6137i		−	0.620549i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.103.3	✓	64
4.3	odd	2	inner	260.2.p.d.103.19	yes	64
5.2	odd	4	inner	260.2.p.d.207.14	yes	64
13.12	even	2	inner	260.2.p.d.103.30	yes	64
20.7	even	4	inner	260.2.p.d.207.30	yes	64
52.51	odd	2	inner	260.2.p.d.103.14	yes	64
65.12	odd	4	inner	260.2.p.d.207.19	yes	64
260.207	even	4	inner	260.2.p.d.207.3	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.3	✓	64	1.1	even	1	trivial
260.2.p.d.103.14	yes	64	52.51	odd	2	inner
260.2.p.d.103.19	yes	64	4.3	odd	2	inner
260.2.p.d.103.30	yes	64	13.12	even	2	inner
260.2.p.d.207.3	yes	64	260.207	even	4	inner
260.2.p.d.207.14	yes	64	5.2	odd	4	inner
260.2.p.d.207.19	yes	64	65.12	odd	4	inner
260.2.p.d.207.30	yes	64	20.7	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35124 + 0.417327i) q^{2} +(0.561614 - 0.561614i) q^{3} +(1.65168 - 1.12781i) q^{4} +(-2.09189 + 0.789927i) q^{5} +(-0.524497 + 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +O(q^{10})\)	\(q+(-1.35124 + 0.417327i) q^{2} +(0.561614 - 0.561614i) q^{3} +(1.65168 - 1.12781i) q^{4} +(-2.09189 + 0.789927i) q^{5} +(-0.524497 + 0.993250i) q^{6} +(1.48711 - 1.48711i) q^{7} +(-1.76114 + 2.21323i) q^{8} +2.36918i q^{9} +(2.49698 - 1.94038i) q^{10} +5.21705 q^{11} +(0.294209 - 1.56100i) q^{12} +(1.57435 - 3.24368i) q^{13} +(-1.38883 + 2.63005i) q^{14} +(-0.731203 + 1.61847i) q^{15} +(1.45607 - 3.72557i) q^{16} +(0.793724 - 0.793724i) q^{17} +(-0.988721 - 3.20132i) q^{18} -0.101632i q^{19} +(-2.56424 + 3.66397i) q^{20} -1.67036i q^{21} +(-7.04946 + 2.17721i) q^{22} +(2.99025 - 2.99025i) q^{23} +(0.253901 + 2.23206i) q^{24} +(3.75203 - 3.30488i) q^{25} +(-0.773642 + 5.03999i) q^{26} +(3.01541 + 3.01541i) q^{27} +(0.779042 - 4.13341i) q^{28} +3.15871i q^{29} +(0.312596 - 2.49209i) q^{30} +5.55833 q^{31} +(-0.412721 + 5.64178i) q^{32} +(2.92997 - 2.92997i) q^{33} +(-0.741267 + 1.40375i) q^{34} +(-1.93617 + 4.28558i) q^{35} +(2.67199 + 3.91312i) q^{36} +(-3.25224 - 3.25224i) q^{37} +(0.0424138 + 0.137329i) q^{38} +(-0.937519 - 2.70587i) q^{39} +(1.93582 - 6.02101i) q^{40} +6.47910i q^{41} +(0.697087 + 2.25706i) q^{42} +(-2.45533 + 2.45533i) q^{43} +(8.61688 - 5.88386i) q^{44} +(-1.87148 - 4.95607i) q^{45} +(-2.79263 + 5.28845i) q^{46} +(-3.39043 + 3.39043i) q^{47} +(-1.27458 - 2.91008i) q^{48} +2.57701i q^{49} +(-3.69066 + 6.03150i) q^{50} -0.891534i q^{51} +(-1.05795 - 7.13307i) q^{52} +(-6.94382 - 6.94382i) q^{53} +(-5.33294 - 2.81612i) q^{54} +(-10.9135 + 4.12109i) q^{55} +(0.672311 + 5.91032i) q^{56} +(-0.0570780 - 0.0570780i) q^{57} +(-1.31821 - 4.26816i) q^{58} -10.5517i q^{59} +(0.617623 + 3.49785i) q^{60} -1.49686 q^{61} +(-7.51061 + 2.31964i) q^{62} +(3.52323 + 3.52323i) q^{63} +(-1.79678 - 7.79561i) q^{64} +(-0.731099 + 8.02904i) q^{65} +(-2.73632 + 5.18183i) q^{66} +(-6.37568 + 6.37568i) q^{67} +(0.415803 - 2.20615i) q^{68} -3.35874i q^{69} +(0.827730 - 6.59885i) q^{70} -1.73544 q^{71} +(-5.24354 - 4.17245i) q^{72} +(-5.87285 + 5.87285i) q^{73} +(5.75179 + 3.03730i) q^{74} +(0.251124 - 3.96327i) q^{75} +(-0.114622 - 0.167863i) q^{76} +(7.75832 - 7.75832i) q^{77} +(2.39604 + 3.26502i) q^{78} +1.43236 q^{79} +(-0.103024 + 8.94368i) q^{80} -3.72054 q^{81} +(-2.70390 - 8.75480i) q^{82} +(-10.2973 - 10.2973i) q^{83} +(-1.88386 - 2.75890i) q^{84} +(-1.03340 + 2.28737i) q^{85} +(2.29306 - 4.34241i) q^{86} +(1.77398 + 1.77398i) q^{87} +(-9.18794 + 11.5465i) q^{88} -6.49614 q^{89} +(4.59711 + 5.91580i) q^{90} +(-2.48247 - 7.16493i) q^{91} +(1.56649 - 8.31138i) q^{92} +(3.12164 - 3.12164i) q^{93} +(3.16635 - 5.99618i) q^{94} +(0.0802819 + 0.212603i) q^{95} +(2.93671 + 3.40029i) q^{96} +(6.63009 + 6.63009i) q^{97} +(-1.07545 - 3.48215i) q^{98} +12.3601i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

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