LMFDB - Embedded newform 260.2.p.d.207.19

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			207.19
Character	$\chi$	$=$	260.207
Dual form			260.2.p.d.103.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.417327 + 1.35124i) q^{2} +(-0.561614 - 0.561614i) q^{3} +(-1.65168 + 1.12781i) q^{4} +(-2.09189 - 0.789927i) q^{5} +(0.524497 - 0.993250i) q^{6} +(-1.48711 - 1.48711i) q^{7} +(-2.21323 - 1.76114i) q^{8} -2.36918i q^{9} +O(q^{10})$	\(q+(0.417327 + 1.35124i) 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} +(-2.21323 - 1.76114i) q^{8} -2.36918i q^{9} +(0.194375 - 3.15630i) q^{10} -5.21705 q^{11} +(1.56100 + 0.294209i) 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} +(3.20132 - 0.988721i) q^{18} -0.101632i q^{19} +(4.34602 - 1.05456i) q^{20} +1.67036i q^{21} +(-2.17721 - 7.04946i) q^{22} +(-2.99025 - 2.99025i) q^{23} +(0.253901 + 2.23206i) q^{24} +(3.75203 + 3.30488i) q^{25} +(-3.72595 + 3.48099i) q^{26} +(-3.01541 + 3.01541i) q^{27} +(4.13341 + 0.779042i) q^{28} -3.15871i q^{29} +(-1.88179 + 1.66346i) q^{30} -5.55833 q^{31} +(5.64178 + 0.412721i) 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} +(0.137329 - 0.0424138i) q^{38} +(0.937519 - 2.70587i) q^{39} +(3.23867 + 5.43240i) q^{40} -6.47910i q^{41} +(-2.25706 + 0.697087i) 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} +(-2.91008 + 1.27458i) q^{48} -2.57701i q^{49} +(-2.89986 + 6.44910i) q^{50} -0.891534i q^{51} +(-6.25857 - 3.58193i) 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} +(4.26816 - 1.31821i) q^{58} -10.5517i q^{59} +(-3.03304 - 1.84853i) q^{60} -1.49686 q^{61} +(-2.31964 - 7.51061i) 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} +(-2.20615 - 0.415803i) q^{68} +3.35874i q^{69} +(-4.98282 + 4.40470i) q^{70} +1.73544 q^{71} +(-4.17245 + 5.24354i) 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} +(4.04752 + 0.137577i) q^{78} -1.43236 q^{79} +(-5.98888 + 6.64330i) q^{80} -3.72054 q^{81} +(8.75480 - 2.70390i) 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} +(11.5465 + 9.18794i) q^{88} -6.49614 q^{89} +(-7.47783 - 0.460509i) q^{90} +(2.48247 - 7.16493i) q^{91} +(8.31138 + 1.56649i) 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} +(3.48215 - 1.07545i) 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 $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.417327	+	1.35124i	0.295094	+	0.955468i
$2$	0.417327	+	1.35124i	0.295094	+	0.955468i
$3$	−0.561614	−	0.561614i	−0.324248	−	0.324248i	0.526146	−	0.850394i	$-0.323637\pi$
$3$	−0.561614	−	0.561614i	−0.324248	−	0.324248i	−0.850394	+	0.526146i	$0.823637\pi$
$4$	−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	$-0.380104\pi$
$7$	−1.48711	−	1.48711i	−0.562075	−	0.562075i	−0.929896	+	0.367822i	$0.880104\pi$
$8$	−2.21323	−	1.76114i	−0.782495	−	0.622657i
$9$		−	2.36918i		−	0.789726i
$10$	0.194375	−	3.15630i	0.0614668	−	0.998109i
$11$	−5.21705			−1.57300			−0.786499	−	0.617591i	$-0.788109\pi$
$11$	−5.21705			−1.57300			−0.786499	+	0.617591i	$0.788109\pi$
$12$	1.56100	+	0.294209i	0.450622	+	0.0849309i
$13$	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	0.796778	−	0.604272i	$-0.206536\pi$
$17$	0.793724	+	0.793724i	0.192506	+	0.192506i	−0.604272	+	0.796778i	$0.706536\pi$
$18$	3.20132	−	0.988721i	0.754558	−	0.233044i
$19$		−	0.101632i		−	0.0233160i	−0.999932	−	0.0116580i	$-0.996289\pi$
$19$		−	0.101632i		−	0.0233160i	0.999932	−	0.0116580i	$-0.00371094\pi$
$20$	4.34602	−	1.05456i	0.971800	−	0.235807i
$21$			1.67036i			0.364503i
$22$	−2.17721	−	7.04946i	−0.464183	−	1.50295i
$23$	−2.99025	−	2.99025i	−0.623511	−	0.623511i	0.322916	−	0.946428i	$-0.395337\pi$
$23$	−2.99025	−	2.99025i	−0.623511	−	0.623511i	−0.946428	+	0.322916i	$0.895337\pi$
$24$	0.253901	+	2.23206i	0.0518274	+	0.455618i
$25$	3.75203	+	3.30488i	0.750406	+	0.660977i
$26$	−3.72595	+	3.48099i	−0.730720	+	0.682678i
$27$	−3.01541	+	3.01541i	−0.580315	+	0.580315i
$28$	4.13341	+	0.779042i	0.781141	+	0.147225i
$29$		−	3.15871i		−	0.586558i	−0.956027	−	0.293279i	$-0.905254\pi$
$29$		−	3.15871i		−	0.586558i	0.956027	−	0.293279i	$-0.0947465\pi$
$30$	−1.88179	+	1.66346i	−0.343566	+	0.303705i
$31$	−5.55833			−0.998305			−0.499152	−	0.866514i	$-0.666355\pi$
$31$	−5.55833			−0.998305			−0.499152	+	0.866514i	$0.666355\pi$
$32$	5.64178	+	0.412721i	0.997335	+	0.0729594i
$33$	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	−0.921957	−	0.387292i	$-0.873411\pi$
$37$	−3.25224	+	3.25224i	−0.534665	+	0.534665i	0.387292	+	0.921957i	$0.373411\pi$
$38$	0.137329	−	0.0424138i	0.0222777	−	0.00688042i
$39$	0.937519	−	2.70587i	0.150123	−	0.433286i
$40$	3.23867	+	5.43240i	0.512079	+	0.858938i
$41$		−	6.47910i		−	1.01187i	−0.862573	−	0.505933i	$-0.831148\pi$
$41$		−	6.47910i		−	1.01187i	0.862573	−	0.505933i	$-0.168852\pi$
$42$	−2.25706	+	0.697087i	−0.348271	+	0.107563i
$43$	2.45533	+	2.45533i	0.374435	+	0.374435i	0.869090	−	0.494655i	$-0.164705\pi$
$43$	2.45533	+	2.45533i	0.374435	+	0.374435i	−0.494655	+	0.869090i	$0.664705\pi$
$44$	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	$-0.136285\pi$
$47$	3.39043	+	3.39043i	0.494545	+	0.494545i	−0.415190	+	0.909735i	$0.636285\pi$
$48$	−2.91008	+	1.27458i	−0.420034	+	0.183970i
$49$		−	2.57701i		−	0.368144i
$50$	−2.89986	+	6.44910i	−0.410102	+	0.912040i
$51$		−	0.891534i		−	0.124840i
$52$	−6.25857	−	3.58193i	−0.867908	−	0.496725i
$53$	−6.94382	+	6.94382i	−0.953807	+	0.953807i	−0.998979	−	0.0451723i	$-0.985616\pi$
$53$	−6.94382	+	6.94382i	−0.953807	+	0.953807i	0.0451723	+	0.998979i	$0.485616\pi$
$54$	−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
$58$	4.26816	−	1.31821i	0.560437	−	0.173090i
$59$		−	10.5517i		−	1.37372i	−0.726789	−	0.686860i	$-0.758988\pi$
$59$		−	10.5517i		−	1.37372i	0.726789	−	0.686860i	$-0.241012\pi$
$60$	−3.03304	−	1.84853i	−0.391564	−	0.238644i
$61$	−1.49686			−0.191653			−0.0958264	−	0.995398i	$-0.530549\pi$
$61$	−1.49686			−0.191653			−0.0958264	+	0.995398i	$0.530549\pi$
$62$	−2.31964	−	7.51061i	−0.294594	−	0.953848i
$63$	−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	$-0.0643322\pi$
$67$	6.37568	+	6.37568i	0.778914	+	0.778914i	−0.200732	+	0.979646i	$0.564332\pi$
$68$	−2.20615	−	0.415803i	−0.267535	−	0.0504236i
$69$			3.35874i			0.404345i
$70$	−4.98282	+	4.40470i	−0.595561	+	0.526463i
$71$	1.73544			0.205959			0.102979	−	0.994683i	$-0.467162\pi$
$71$	1.73544			0.205959			0.102979	+	0.994683i	$0.467162\pi$
$72$	−4.17245	+	5.24354i	−0.491728	+	0.617957i
$73$	−5.87285	−	5.87285i	−0.687366	−	0.687366i	0.274283	−	0.961649i	$-0.411559\pi$
$73$	−5.87285	−	5.87285i	−0.687366	−	0.687366i	−0.961649	+	0.274283i	$0.911559\pi$
$74$	−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
$78$	4.04752	+	0.137577i	0.458292	+	0.0155776i
$79$	−1.43236			−0.161153			−0.0805767	−	0.996748i	$-0.525676\pi$
$79$	−1.43236			−0.161153			−0.0805767	+	0.996748i	$0.525676\pi$
$80$	−5.98888	+	6.64330i	−0.669577	+	0.742743i
$81$	−3.72054			−0.413394
$82$	8.75480	−	2.70390i	0.966806	−	0.298596i
$83$	10.2973	−	10.2973i	1.13028	−	1.13028i	0.140144	−	0.990131i	$-0.455243\pi$
$83$	10.2973	−	10.2973i	1.13028	−	1.13028i	0.990131	−	0.140144i	$-0.0447565\pi$
$84$	−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
$88$	11.5465	+	9.18794i	1.23086	+	0.979438i
$89$	−6.49614			−0.688589			−0.344295	−	0.938862i	$-0.611882\pi$
$89$	−6.49614			−0.688589			−0.344295	+	0.938862i	$0.611882\pi$
$90$	−7.47783	−	0.460509i	−0.788233	−	0.0485419i
$91$	2.48247	−	7.16493i	0.260234	−	0.751089i
$92$	8.31138	+	1.56649i	0.866522	+	0.163317i
$93$	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	−0.285265	−	0.958449i	$-0.592082\pi$
$97$	6.63009	−	6.63009i	0.673184	−	0.673184i	0.958449	+	0.285265i	$0.0920816\pi$
$98$	3.48215	−	1.07545i	0.351750	−	0.108637i
$99$			12.3601i			1.24224i
$100$	−9.92444	−	1.22701i	−0.992444	−	0.122701i
$101$	−18.8956			−1.88018			−0.940092	−	0.340920i	$-0.889262\pi$
$101$	−18.8956			−1.88018			−0.940092	+	0.340920i	$0.889262\pi$
$102$	1.20467	−	0.372061i	0.119280	−	0.0368395i
$103$	−7.95014	−	7.95014i	−0.783351	−	0.783351i	0.197044	−	0.980395i	$-0.436866\pi$
$103$	−7.95014	−	7.95014i	−0.783351	−	0.783351i	−0.980395	+	0.197044i	$0.936866\pi$
$104$	2.22817	−	9.95165i	0.218490	−	0.975839i
$105$	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	−0.353463	+	0.935448i	$0.614996\pi$
$107$	−13.3326	+	13.3326i	−1.28891	+	1.28891i	−0.935448	+	0.353463i	$0.885004\pi$
$108$	1.57966	−	8.38130i	0.152003	−	0.806491i
$109$	17.2986			1.65690			0.828451	−	0.560062i	$-0.189223\pi$
$109$	17.2986			1.65690			0.828451	+	0.560062i	$0.189223\pi$
$110$	−1.01406	+	16.4666i	−0.0966872	+	1.57002i
$111$	3.65301			0.346728
$112$	−7.70567	+	3.37499i	−0.728117	+	0.318906i
$113$	11.9985	−	11.9985i	1.12872	−	1.12872i	0.138334	−	0.990386i	$-0.455825\pi$
$113$	11.9985	−	11.9985i	1.12872	−	1.12872i	0.990386	−	0.138334i	$-0.0441746\pi$
$114$	−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
$118$	14.2579	−	4.40353i	1.31255	−	0.405377i
$119$		−	2.36071i		−	0.216406i
$120$	1.23203	−	4.86980i	0.112469	−	0.444550i
$121$	16.2176			1.47433
$122$	−0.624678	−	2.02261i	−0.0565557	−	0.183118i
$123$	−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	$-0.656134\pi$
$127$	4.63191	−	4.63191i	0.411016	−	0.411016i	0.882092	+	0.471077i	$0.156134\pi$
$128$	−9.78387	+	5.68119i	−0.864780	+	0.502151i
$129$		−	2.75790i		−	0.242820i
$130$	10.5440	−	4.33862i	0.924772	−	0.380522i
$131$		−	20.8492i		−	1.82161i	−0.412840	−	0.910804i	$-0.635463\pi$
$131$		−	20.8492i		−	1.82161i	0.412840	−	0.910804i	$-0.364537\pi$
$132$	−8.14382	−	1.53490i	−0.708829	−	0.133596i
$133$	−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	−0.701983	−	0.712193i	$-0.747702\pi$
$137$	0.119502	−	0.119502i	0.0102097	−	0.0102097i	0.712193	+	0.701983i	$0.247702\pi$
$138$	−4.53845	+	1.40169i	−0.386338	+	0.119320i
$139$	20.1901			1.71250			0.856252	−	0.516559i	$-0.172787\pi$
$139$	20.1901			1.71250			0.856252	+	0.516559i	$0.172787\pi$
$140$	−8.03126	−	4.89476i	−0.678765	−	0.413683i
$141$		−	3.80823i		−	0.320710i
$142$	0.724245	+	2.34499i	0.0607773	+	0.196787i
$143$	−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
$148$	1.70373	−	9.03957i	0.140046	−	0.743048i
$149$	−9.51723			−0.779682			−0.389841	−	0.920882i	$-0.627470\pi$
$149$	−9.51723			−0.779682			−0.389841	+	0.920882i	$0.627470\pi$
$150$	5.25051	−	1.99330i	0.428702	−	0.162753i
$151$	−3.70969			−0.301890			−0.150945	−	0.988542i	$-0.548232\pi$
$151$	−3.70969			−0.301890			−0.150945	+	0.988542i	$0.548232\pi$
$152$	−0.178988	+	0.224935i	−0.0145179	+	0.0182447i
$153$	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
$156$	1.50324	+	5.52657i	0.120355	+	0.442480i
$157$	−2.55204	−	2.55204i	−0.203675	−	0.203675i	0.597898	−	0.801573i	$-0.296003\pi$
$157$	−2.55204	−	2.55204i	−0.203675	−	0.203675i	−0.801573	+	0.597898i	$0.796003\pi$
$158$	−0.597763	−	1.93546i	−0.0475555	−	0.153977i
$159$	7.79950			0.618540
$160$	−11.4760	−	5.31996i	−0.907256	−	0.420580i
$161$			8.89367i			0.700920i
$162$	−1.55268	−	5.02733i	−0.121990	−	0.394985i
$163$	−3.79158	+	3.79158i	−0.296979	+	0.296979i	−0.839830	−	0.542850i	$-0.817345\pi$
$163$	−3.79158	+	3.79158i	−0.296979	+	0.296979i	0.542850	+	0.839830i	$0.317345\pi$
$164$	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	$-0.0888128\pi$
$167$	8.86404	+	8.86404i	0.685920	+	0.685920i	−0.275408	+	0.961328i	$0.588813\pi$
$168$	2.94174	−	3.69690i	0.226960	−	0.285222i
$169$	−8.04286	+	10.2133i	−0.618682	+	0.785642i
$170$	2.65951	−	2.35095i	0.203975	−	0.180310i
$171$	−0.240784			−0.0184132
$172$	−6.82458	−	1.28626i	−0.520369	−	0.0980764i
$173$	−8.52255	+	8.52255i	−0.647958	+	0.647958i	−0.952499	−	0.304541i	$-0.901497\pi$
$173$	−8.52255	+	8.52255i	−0.647958	+	0.647958i	0.304541	+	0.952499i	$0.401497\pi$
$174$	−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
$178$	−2.71101	−	8.77782i	−0.203199	−	0.657925i
$179$	−19.5455			−1.46090			−0.730449	−	0.682967i	$-0.760689\pi$
$179$	−19.5455			−1.46090			−0.730449	+	0.682967i	$0.760689\pi$
$180$	−2.49844	−	10.2965i	−0.186223	−	0.767456i
$181$	−11.2087			−0.833132			−0.416566	−	0.909105i	$-0.636767\pi$
$181$	−11.2087			−0.833132			−0.416566	+	0.909105i	$0.636767\pi$
$182$	10.7175	+	0.364294i	0.794435	+	0.0270032i
$183$	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
$188$	−9.42366	−	1.77612i	−0.687291	−	0.129537i
$189$	8.96848			0.652361
$190$	−0.320781	−	0.0197547i	−0.0232719	−	0.00143316i
$191$			14.4302i			1.04414i	0.852904	+	0.522068i	$0.174839\pi$
$191$			14.4302i			1.04414i	−0.852904	+	0.522068i	$0.825161\pi$
$192$	3.36903	−	5.38723i	0.243139	−	0.388790i
$193$	−7.31079	−	7.31079i	−0.526242	−	0.526242i	0.393207	−	0.919450i	$-0.371365\pi$
$193$	−7.31079	−	7.31079i	−0.526242	−	0.526242i	−0.919450	+	0.393207i	$0.871365\pi$
$194$	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	−0.851270	−	0.524728i	$-0.824167\pi$
$197$	−4.58324	+	4.58324i	−0.326542	+	0.326542i	0.524728	+	0.851270i	$0.324167\pi$
$198$	−16.7014	+	5.15821i	−1.18692	+	0.366578i
$199$	1.85757			0.131680			0.0658398	−	0.997830i	$-0.479027\pi$
$199$	1.85757			0.131680			0.0658398	+	0.997830i	$0.479027\pi$
$200$	−2.48375	−	13.9223i	−0.175628	−	0.984457i
$201$		−	7.16135i		−	0.505123i
$202$	−7.88565	−	25.5324i	−0.554832	−	1.79646i
$203$	−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
$208$	14.3769	−	1.14231i	0.996858	−	0.0792046i
$209$			0.530219i			0.0366760i
$210$	5.27217	+	0.324677i	0.363814	+	0.0224048i
$211$			4.26614i			0.293694i	0.989159	+	0.146847i	$0.0469124\pi$
$211$			4.26614i			0.293694i	−0.989159	+	0.146847i	$0.953088\pi$
$212$	3.63761	−	19.3003i	0.249832	−	1.32555i
$213$	−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
$218$	7.21915	+	23.3744i	0.488943	+	1.58312i
$219$			6.59656i			0.445754i
$220$	−22.6734	+	5.50169i	−1.52864	+	0.370924i
$221$	−1.32499	+	3.82418i	−0.0891283	+	0.257242i
$222$	1.52450	+	4.93608i	0.102318	+	0.331288i
$223$	−12.0709	+	12.0709i	−0.808329	+	0.808329i	−0.984381	−	0.176052i	$-0.943667\pi$
$223$	−12.0709	+	12.0709i	−0.808329	+	0.808329i	0.176052	+	0.984381i	$0.443667\pi$
$224$	−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	$-0.400608\pi$
$227$	−9.70954	−	9.70954i	−0.644445	−	0.644445i	−0.951645	+	0.307200i	$0.900608\pi$
$228$	0.0299011	−	0.158648i	0.00198025	−	0.0105067i
$229$	9.74332			0.643856			0.321928	−	0.946764i	$-0.395669\pi$
$229$	9.74332			0.643856			0.321928	+	0.946764i	$0.395669\pi$
$230$	−10.0194	+	8.85690i	−0.660657	+	0.584007i
$231$		−	8.71437i		−	0.573363i
$232$	−5.56293	+	6.99096i	−0.365224	+	0.458979i
$233$	2.40053	−	2.40053i	0.157264	−	0.157264i	−0.624089	−	0.781353i	$-0.714530\pi$
$233$	2.40053	−	2.40053i	0.157264	−	0.157264i	0.781353	+	0.624089i	$0.214530\pi$
$234$	8.24708	+	8.82745i	0.539128	+	0.577069i
$235$	−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
$238$	3.18988	−	0.985187i	0.206769	−	0.0638602i
$239$		−	14.8314i		−	0.959363i	−0.877443	−	0.479682i	$-0.840752\pi$
$239$		−	14.8314i		−	0.959363i	0.877443	−	0.479682i	$-0.159248\pi$
$240$	7.09441	−	0.367532i	0.457942	−	0.0237241i
$241$			9.39857i			0.605415i	0.953083	+	0.302708i	$0.0978906\pi$
$241$			9.39857i			0.605415i	−0.953083	+	0.302708i	$0.902109\pi$
$242$	6.76803	+	21.9138i	0.435065	+	1.40867i
$243$	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
$248$	12.3019	+	9.78898i	0.781169	+	0.621601i
$249$	−11.5662			−0.732979
$250$	11.1605	−	11.2001i	0.705852	−	0.708359i
$251$			12.8154i			0.808900i	0.914560	+	0.404450i	$0.132537\pi$
$251$			12.8154i			0.808900i	−0.914560	+	0.404450i	$0.867463\pi$
$252$	1.84569	−	9.79278i	0.116268	−	0.616887i
$253$	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	0.836746	−	0.547591i	$-0.184455\pi$
$257$	4.63552	+	4.63552i	0.289156	+	0.289156i	−0.547591	+	0.836746i	$0.684455\pi$
$258$	3.72658	−	1.15095i	0.232006	−	0.0716548i
$259$	9.67288			0.601043
$260$	10.2628	+	12.4368i	0.636472	+	0.771300i
$261$	−7.48355			−0.463220
$262$	28.1723	−	8.70095i	1.74049	−	0.537546i
$263$	21.0322	+	21.0322i	1.29690	+	1.29690i	0.930429	+	0.366472i	$0.119435\pi$
$263$	21.0322	+	21.0322i	1.29690	+	1.29690i	0.366472	+	0.930429i	$0.380565\pi$
$264$	−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
$268$	−17.7212	−	3.33999i	−1.08249	−	0.204022i
$269$			11.3028i			0.689143i	0.938760	+	0.344572i	$0.111976\pi$
$269$			11.3028i			0.689143i	−0.938760	+	0.344572i	$0.888024\pi$
$270$	8.93141	+	10.1036i	0.543548	+	0.614888i
$271$	−0.932858			−0.0566671			−0.0283335	−	0.999599i	$-0.509020\pi$
$271$	−0.932858			−0.0566671			−0.0283335	+	0.999599i	$0.509020\pi$
$272$	4.11279	−	1.80135i	0.249375	−	0.109223i
$273$	−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	0.0536481	−	0.998560i	$-0.482915\pi$
$277$	−15.7265	−	15.7265i	−0.944912	−	0.944912i	−0.998560	+	0.0536481i	$0.982915\pi$
$278$	8.42587	+	27.2816i	0.505350	+	1.63624i
$279$			13.1687i			0.788387i
$280$	3.26232	−	12.8948i	0.194961	−	0.770614i
$281$			30.0274i			1.79128i	0.444775	+	0.895642i	$0.353284\pi$
$281$			30.0274i			1.79128i	−0.444775	+	0.895642i	$0.646716\pi$
$282$	5.14581	−	1.58927i	0.306429	−	0.0946399i
$283$	−14.6116	−	14.6116i	−0.868570	−	0.868570i	0.123744	−	0.992314i	$-0.460510\pi$
$283$	−14.6116	−	14.6116i	−0.868570	−	0.868570i	−0.992314	+	0.123744i	$0.960510\pi$
$284$	−2.86638	+	1.95725i	−0.170089	+	0.116142i
$285$	0.164489	−	0.0743136i	0.00974346	−	0.00440196i
$286$	19.4385	−	18.1605i	1.14942	−	1.07385i
$287$	−9.63514	+	9.63514i	−0.568744	+	0.568744i
$288$	0.977809	−	13.3664i	0.0576179	−	0.787622i
$289$		−	15.7400i		−	0.925883i
$290$	−9.96983	−	0.613975i	−0.585449	−	0.0360538i
$291$	−7.44711			−0.436557
$292$	16.3235	+	3.07657i	0.955263	+	0.180043i
$293$	−8.55742	−	8.55742i	−0.499930	−	0.499930i	0.411486	−	0.911416i	$-0.365010\pi$
$293$	−8.55742	−	8.55742i	−0.499930	−	0.499930i	−0.911416	+	0.411486i	$0.865010\pi$
$294$	−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
$298$	−3.97179	−	12.8600i	−0.230080	−	0.744961i
$299$	4.99172	−	14.4071i	0.288678	−	0.833185i
$300$	4.88460	+	6.26281i	0.282012	+	0.361584i
$301$		−	7.30270i		−	0.420921i
$302$	−1.54815	−	5.01267i	−0.0890861	−	0.288446i
$303$	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	$-0.430445\pi$
$307$	−13.3065	−	13.3065i	−0.759441	−	0.759441i	−0.976221	+	0.216779i	$0.930445\pi$
$308$	−21.5642	−	4.06430i	−1.22873	−	0.231585i
$309$			8.92983i			0.508000i
$310$	−1.08040	+	17.5437i	−0.0613626	+	0.996417i
$311$		−	12.3858i		−	0.702336i	−0.936313	−	0.351168i	$-0.885785\pi$
$311$		−	12.3858i		−	0.702336i	0.936313	−	0.351168i	$-0.114215\pi$
$312$	−6.84036	+	4.33762i	−0.387259	+	0.245569i
$313$	−9.10805	+	9.10805i	−0.514817	+	0.514817i	−0.915999	−	0.401181i	$-0.868600\pi$
$313$	−9.10805	+	9.10805i	−0.514817	+	0.514817i	0.401181	+	0.915999i	$0.368600\pi$
$314$	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	−0.927423	−	0.374014i	$-0.877981\pi$
$317$	−9.85317	+	9.85317i	−0.553409	+	0.553409i	0.374014	+	0.927423i	$0.377981\pi$
$318$	3.25494	+	10.5390i	0.182528	+	0.590996i
$319$			16.4791i			0.922655i
$320$	2.39929	−	17.7269i	0.134124	−	0.990965i
$321$	14.9756			0.835855
$322$	−12.0174	+	3.71157i	−0.669706	+	0.206838i
$323$	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
$328$	−11.4106	+	14.3398i	−0.630045	+	0.791780i
$329$		−	10.0839i		−	0.555942i
$330$	9.81737	−	8.67834i	0.540428	−	0.477727i
$331$	26.8753			1.47720			0.738599	−	0.674145i	$-0.235488\pi$
$331$	26.8753			1.47720			0.738599	+	0.674145i	$0.235488\pi$
$332$	−5.39438	+	28.6212i	−0.296055	+	1.57079i
$333$	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	0.304685	−	0.952453i	$-0.401449\pi$
$337$	−11.8914	−	11.8914i	−0.647768	−	0.647768i	−0.952453	+	0.304685i	$0.901449\pi$
$338$	−17.1571	−	6.60551i	−0.933225	−	0.359292i
$339$	−13.4770			−0.731970
$340$	4.28657	+	2.61251i	0.232472	+	0.141683i
$341$	28.9980			1.57033
$342$	−0.100486	−	0.325357i	−0.00543365	−	0.0175933i
$343$	−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	$-0.654283\pi$
$347$	7.80289	−	7.80289i	0.418881	−	0.418881i	0.884818	+	0.465937i	$0.154283\pi$
$348$	0.929322	−	4.93075i	0.0498169	−	0.264316i
$349$	−23.0829			−1.23560			−0.617799	−	0.786336i	$-0.711975\pi$
$349$	−23.0829			−1.23560			−0.617799	+	0.786336i	$0.711975\pi$
$350$	13.9029	−	5.27811i	0.743142	−	0.282127i
$351$	−14.5283	−	5.03371i	−0.775463	−	0.268679i
$352$	−29.4334	−	2.15318i	−1.56881	−	0.114765i
$353$	−12.4513	−	12.4513i	−0.662717	−	0.662717i	0.293303	−	0.956020i	$-0.405246\pi$
$353$	−12.4513	−	12.4513i	−0.662717	−	0.662717i	−0.956020	+	0.293303i	$0.905246\pi$
$354$	−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
$358$	−8.15685	−	26.4106i	−0.431103	−	1.39584i
$359$		−	1.28531i		−	0.0678361i	−0.999425	−	0.0339181i	$-0.989201\pi$
$359$		−	1.28531i		−	0.0678361i	0.999425	−	0.0339181i	$-0.0107985\pi$
$360$	12.8703	−	7.67299i	0.678326	−	0.404402i
$361$	18.9897			0.999456
$362$	−4.67767	−	15.1455i	−0.245853	−	0.796031i
$363$	−9.10803	−	9.10803i	−0.478047	−	0.478047i
$364$	3.98046	+	14.6339i	0.208633	+	0.767026i
$365$	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	$-0.714323\pi$
$367$	3.03025	−	3.03025i	0.158178	−	0.158178i	0.781759	+	0.623581i	$0.214323\pi$
$368$	−15.4944	+	6.78636i	−0.807703	+	0.353764i
$369$	−15.3502			−0.799097
$370$	9.63289	+	10.8972i	0.500790	+	0.566518i
$371$	20.6524			1.07222
$372$	−8.67656	−	1.63531i	−0.449858	−	0.0847869i
$373$	12.5458	−	12.5458i	0.649597	−	0.649597i	−0.303299	−	0.952896i	$-0.598088\pi$
$373$	12.5458	−	12.5458i	0.649597	−	0.649597i	0.952896	+	0.303299i	$0.0980879\pi$
$374$	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
$378$	3.74279	+	12.1185i	0.192508	+	0.623310i
$379$			19.8910i			1.02173i	0.859660	+	0.510866i	$0.170675\pi$
$379$			19.8910i			1.02173i	−0.859660	+	0.510866i	$0.829325\pi$
$380$	−0.107177	−	0.441695i	−0.00549807	−	0.0226585i
$381$	−5.20269			−0.266542
$382$	−19.4987	+	6.02212i	−0.997638	+	0.308119i
$383$	−1.94725	+	1.94725i	−0.0994996	+	0.0994996i	−0.755104	−	0.655605i	$-0.772414\pi$
$383$	−1.94725	+	1.94725i	−0.0994996	+	0.0994996i	0.655605	+	0.755104i	$0.272414\pi$
$384$	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
$388$	−3.47326	+	18.4283i	−0.176328	+	0.935554i
$389$		−	15.2218i		−	0.771778i	−0.922545	−	0.385889i	$-0.873895\pi$
$389$		−	15.2218i		−	0.771778i	0.922545	−	0.385889i	$-0.126105\pi$
$390$	−8.35830	−	3.48504i	−0.423239	−	0.176472i
$391$		−	4.74688i		−	0.240060i
$392$	−4.53847	+	5.70352i	−0.229227	+	0.288071i
$393$	−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	−0.847120	−	0.531402i	$-0.821665\pi$
$397$	−6.29063	+	6.29063i	−0.315718	+	0.315718i	0.531402	+	0.847120i	$0.321665\pi$
$398$	0.775213	+	2.51001i	0.0388579	+	0.125816i
$399$	0.169763			0.00849876
$400$	17.7758	−	9.16629i	0.888790	−	0.458314i
$401$			9.05500i			0.452185i	0.974106	+	0.226093i	$0.0725952\pi$
$401$			9.05500i			0.452185i	−0.974106	+	0.226093i	$0.927405\pi$
$402$	9.67667	−	2.98862i	0.482629	−	0.149059i
$403$	−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
$408$	−1.57012	+	1.97317i	−0.0777323	+	0.0976865i
$409$	−9.54287			−0.471865			−0.235932	−	0.971769i	$-0.575814\pi$
$409$	−9.54287			−0.471865			−0.235932	+	0.971769i	$0.575814\pi$
$410$	−20.4500	−	1.25938i	−1.00995	−	0.0621961i
$411$	−0.134228			−0.00662097
$412$	22.0973	+	4.16479i	1.08866	+	0.205184i
$413$	−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
$416$	7.54339	+	18.9499i	0.369845	+	0.929094i
$417$	−11.3391	−	11.3391i	−0.555276	−	0.555276i
$418$	−0.716451	+	0.221275i	−0.0350428	+	0.0108229i
$419$	−17.1056			−0.835662			−0.417831	−	0.908525i	$-0.637210\pi$
$419$	−17.1056			−0.835662			−0.417831	+	0.908525i	$0.637210\pi$
$420$	1.76150	+	7.25944i	0.0859524	+	0.354224i
$421$		−	7.59120i		−	0.369972i	−0.982741	−	0.184986i	$-0.940776\pi$
$421$		−	7.59120i		−	0.369972i	0.982741	−	0.184986i	$-0.0592240\pi$
$422$	−5.76457	+	1.78038i	−0.280615	+	0.0866673i
$423$	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
$428$	6.98447	−	37.0578i	0.337607	−	1.79126i
$429$	−4.89108	+	14.1167i	−0.236144	+	0.681559i
$430$	8.22702	−	7.27251i	0.396742	−	0.350712i
$431$	28.3057			1.36344			0.681718	−	0.731615i	$-0.261233\pi$
$431$	28.3057			1.36344			0.681718	+	0.731615i	$0.261233\pi$
$432$	6.84345	+	15.6248i	0.329256	+	0.751747i
$433$	12.4675	−	12.4675i	0.599151	−	0.599151i	−0.340936	−	0.940087i	$-0.610744\pi$
$433$	12.4675	−	12.4675i	0.599151	−	0.599151i	0.940087	+	0.340936i	$0.110744\pi$
$434$	−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
$438$	−8.91351	+	2.75292i	−0.425904	+	0.131540i
$439$	−0.183524			−0.00875913			−0.00437956	−	0.999990i	$-0.501394\pi$
$439$	−0.183524			−0.00875913			−0.00437956	+	0.999990i	$0.501394\pi$
$440$	−16.8963	−	28.3411i	−0.805499	−	1.35111i
$441$	−6.10540			−0.290733
$442$	−5.72032	−	0.194437i	−0.272088	−	0.00924841i
$443$	5.69369	+	5.69369i	0.270516	+	0.270516i	0.829308	−	0.558792i	$-0.188735\pi$
$443$	5.69369	+	5.69369i	0.270516	+	0.270516i	−0.558792	+	0.829308i	$0.688735\pi$
$444$	−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
$448$	8.92092	−	14.2649i	0.421474	−	0.673955i
$449$	33.2458			1.56896			0.784482	−	0.620151i	$-0.212929\pi$
$449$	33.2458			1.56896			0.784482	+	0.620151i	$0.212929\pi$
$450$	15.2791	+	6.87028i	0.720262	+	0.323868i
$451$			33.8018i			1.59166i
$452$	−6.28555	+	33.3496i	−0.295647	+	1.56863i
$453$	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	−0.803155	−	0.595770i	$-0.796847\pi$
$457$	−4.43340	+	4.43340i	−0.207386	+	0.207386i	0.595770	+	0.803155i	$0.296847\pi$
$458$	4.06615	+	13.1655i	0.189998	+	0.615184i
$459$	−4.78681			−0.223429
$460$	−16.1491	−	9.84230i	−0.752956	−	0.458900i
$461$		−	32.9895i		−	1.53648i	−0.640165	−	0.768238i	$-0.721134\pi$
$461$		−	32.9895i		−	1.53648i	0.640165	−	0.768238i	$-0.278866\pi$
$462$	11.7752	−	3.63674i	0.547830	−	0.169196i
$463$	14.2854	−	14.2854i	0.663897	−	0.663897i	−0.292399	−	0.956296i	$-0.594454\pi$
$463$	14.2854	−	14.2854i	0.663897	−	0.663897i	0.956296	+	0.292399i	$0.0944536\pi$
$464$	−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	$-0.505124\pi$
$467$	21.2595	−	21.2595i	0.983774	−	0.983774i	0.999870	+	0.0160967i	$0.00512396\pi$
$468$	−8.48624	+	14.8277i	−0.392277	+	0.685410i
$469$		−	18.9627i		−	0.875615i
$470$	11.3602	−	10.0422i	0.524008	−	0.463212i
$471$			2.86652i			0.132082i
$472$	−18.5831	+	23.3535i	−0.855356	+	1.07493i
$473$	−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
$478$	20.0407	−	6.18953i	0.916641	−	0.283103i
$479$		−	28.2046i		−	1.28870i	−0.764730	−	0.644351i	$-0.777128\pi$
$479$		−	28.2046i		−	1.28870i	0.764730	−	0.644351i	$-0.222872\pi$
$480$	3.45731	+	9.43284i	0.157804	+	0.430548i
$481$	−15.6694	−	5.42906i	−0.714462	−	0.247544i
$482$	−12.6997	+	3.92227i	−0.578455	+	0.178655i
$483$	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	$-0.192544\pi$
$487$	5.60275	+	5.60275i	0.253885	+	0.253885i	−0.568676	+	0.822561i	$0.692544\pi$
$488$	3.31289	+	2.63617i	0.149967	+	0.119334i
$489$	4.25881			0.192590
$490$	−8.13381	−	0.500906i	−0.367448	−	0.0226286i
$491$		−	19.7932i		−	0.893253i	−0.894720	−	0.446627i	$-0.852625\pi$
$491$		−	19.7932i		−	0.893253i	0.894720	−	0.446627i	$-0.147375\pi$
$492$	1.90621	−	10.1139i	0.0859387	−	0.455969i
$493$	2.50715	−	2.50715i	0.112916	−	0.112916i
$494$	0.353780	+	0.378676i	0.0159173	+	0.0170375i
$495$	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
$498$	−4.82689	−	15.6287i	−0.216298	−	0.700338i
$499$			15.1230i			0.677000i	0.940966	+	0.338500i	$0.109920\pi$
$499$			15.1230i			0.677000i	−0.940966	+	0.338500i	$0.890080\pi$
$500$	19.7916	+	10.4064i	0.885108	+	0.465386i
$501$		−	9.95634i		−	0.444817i
$502$	−17.3166	+	5.34821i	−0.772879	+	0.238702i
$503$	7.15930	+	7.15930i	0.319218	+	0.319218i	0.848467	−	0.529249i	$-0.177526\pi$
$503$	7.15930	+	7.15930i	0.319218	+	0.319218i	−0.529249	+	0.848467i	$0.677526\pi$
$504$	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
$508$	−2.42649	+	12.8744i	−0.107658	+	0.571207i
$509$	42.1615			1.86877			0.934387	−	0.356259i	$-0.115948\pi$
$509$	42.1615			1.86877			0.934387	+	0.356259i	$0.115948\pi$
$510$	−2.81395	−	0.173292i	−0.124604	−	0.00767350i
$511$			17.4672i			0.772701i
$512$	9.75246	−	20.4179i	0.431002	−	0.902351i
$513$	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
$518$	4.03675	+	13.0703i	0.177365	+	0.574278i
$519$	9.57278			0.420198
$520$	−12.5222	+	19.0577i	−0.549133	+	0.835735i
$521$	7.84375			0.343641			0.171821	−	0.985128i	$-0.445035\pi$
$521$	7.84375			0.343641			0.171821	+	0.985128i	$0.445035\pi$
$522$	−3.12309	−	10.1120i	−0.136694	−	0.442592i
$523$	23.4710	+	23.4710i	1.02631	+	1.02631i	0.999644	+	0.0266693i	$0.00849009\pi$
$523$	23.4710	+	23.4710i	1.02631	+	1.02631i	0.0266693	+	0.999644i	$0.491510\pi$
$524$	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
$528$	15.1820	−	6.64954i	0.660714	−	0.289384i
$529$		−	5.11676i		−	0.222468i
$530$	20.5671	+	23.2665i	0.893376	+	1.01063i
$531$	−24.9990			−1.08486
$532$	0.0791757	−	0.420087i	0.00343270	−	0.0182131i
$533$	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
$538$	−15.2727	+	4.71695i	−0.658454	+	0.203362i
$539$			13.4444i			0.579091i
$540$	−9.92510	+	16.2850i	−0.427108	+	0.700793i
$541$		−	23.2720i		−	1.00054i	−0.865869	−	0.500271i	$-0.833234\pi$
$541$		−	23.2720i		−	1.00054i	0.865869	−	0.500271i	$-0.166766\pi$
$542$	−0.389306	−	1.26051i	−0.0167221	−	0.0541436i
$543$	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
$546$	−5.81452	−	6.22370i	−0.248838	−	0.266350i
$547$	11.5816	−	11.5816i	0.495195	−	0.495195i	−0.414743	−	0.909938i	$-0.636129\pi$
$547$	11.5816	−	11.5816i	0.495195	−	0.495195i	0.909938	+	0.414743i	$0.136129\pi$
$548$	−0.0626026	+	0.332154i	−0.00267425	+	0.0141889i
$549$			3.54632i			0.151353i
$550$	15.1287	−	33.6452i	0.645089	−	1.43464i
$551$	−0.321026			−0.0136762
$552$	5.91521	−	7.43367i	0.251768	−	0.316398i
$553$	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	−0.735826	−	0.677170i	$-0.763206\pi$
$557$	−1.38433	+	1.38433i	−0.0586558	+	0.0586558i	0.677170	+	0.735826i	$0.263206\pi$
$558$	−17.7940	+	5.49564i	−0.753279	+	0.232649i
$559$	−4.09876	+	11.8299i	−0.173359	+	0.500350i
$560$	18.7854	−	0.973194i	0.793829	−	0.0411250i
$561$			4.65118i			0.196373i
$562$	−40.5741	+	12.5312i	−1.71152	+	0.528598i
$563$	−1.09528	−	1.09528i	−0.0461608	−	0.0461608i	0.683650	−	0.729810i	$-0.260392\pi$
$563$	−1.09528	−	1.09528i	−0.0461608	−	0.0461608i	−0.729810	+	0.683650i	$0.760392\pi$
$564$	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
$568$	−3.84093	−	3.05635i	−0.161162	−	0.128242i
$569$			26.0963i			1.09401i	0.837129	+	0.547006i	$0.184233\pi$
$569$			26.0963i			1.09401i	−0.837129	+	0.547006i	$0.815767\pi$
$570$	0.169061	+	0.191250i	0.00708117	+	0.00801057i
$571$			38.4087i			1.60735i	0.595066	+	0.803677i	$0.297126\pi$
$571$			38.4087i			1.60735i	−0.595066	+	0.803677i	$0.702874\pi$
$572$	32.6513	+	18.6871i	1.36522	+	0.781348i
$573$	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	−0.844282	−	0.535898i	$-0.819973\pi$
$577$	−7.40764	+	7.40764i	−0.308384	+	0.308384i	0.535898	+	0.844282i	$0.319973\pi$
$578$	21.2685	−	6.56872i	0.884651	−	0.273223i
$579$			8.21169i			0.341266i
$580$	−3.33105	−	13.7278i	−0.138314	−	0.570017i
$581$	−30.6264			−1.27060
$582$	−3.10788	−	10.0628i	−0.128826	−	0.417117i
$583$	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	$-0.273738\pi$
$587$	−2.55282	−	2.55282i	−0.105366	−	0.105366i	−0.757825	+	0.652458i	$0.773738\pi$
$588$	0.758180	−	4.02272i	0.0312668	−	0.165894i
$589$			0.564904i			0.0232765i
$590$	−33.3045	−	2.05100i	−1.37112	−	0.0844382i
$591$	5.14802			0.211761
$592$	7.38094	+	16.8519i	0.303355	+	0.692611i
$593$	−11.4211	−	11.4211i	−0.469008	−	0.469008i	0.432585	−	0.901593i	$-0.357602\pi$
$593$	−11.4211	−	11.4211i	−0.469008	−	0.469008i	−0.901593	+	0.432585i	$0.857602\pi$
$594$	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
$598$	21.5506	+	0.732515i	0.881269	+	0.0299548i
$599$	−32.8264			−1.34125			−0.670625	−	0.741796i	$-0.733974\pi$
$599$	−32.8264			−1.34125			−0.670625	+	0.741796i	$0.733974\pi$
$600$	−6.42406	+	9.21388i	−0.262261	+	0.376155i
$601$	4.74265			0.193457			0.0967284	−	0.995311i	$-0.469162\pi$
$601$	4.74265			0.193457			0.0967284	+	0.995311i	$0.469162\pi$
$602$	9.86767	−	3.04761i	0.402176	−	0.124211i
$603$	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	$-0.632162\pi$
$607$	12.6061	−	12.6061i	0.511664	−	0.511664i	0.915036	+	0.403372i	$0.132162\pi$
$608$	0.0419456	−	0.573385i	0.00170112	−	0.0232539i
$609$	5.27620			0.213802
$610$	−0.290951	+	4.72452i	−0.0117803	+	0.191290i
$611$	−5.65974	+	16.3352i	−0.228968	+	0.660850i
$612$	−0.985112	+	5.22676i	−0.0398208	+	0.211279i
$613$	18.6468	+	18.6468i	0.753135	+	0.753135i	0.975063	−	0.221928i	$-0.0712349\pi$
$613$	18.6468	+	18.6468i	0.753135	+	0.753135i	−0.221928	+	0.975063i	$0.571235\pi$
$614$	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	−0.500429	−	0.865778i	$-0.666824\pi$
$617$	9.07508	−	9.07508i	0.365349	−	0.365349i	0.865778	+	0.500429i	$0.166824\pi$
$618$	−12.0663	+	3.72666i	−0.485378	+	0.149908i
$619$		−	38.4906i		−	1.54707i	−0.633754	−	0.773535i	$-0.718487\pi$
$619$		−	38.4906i		−	1.54707i	0.633754	−	0.773535i	$-0.281513\pi$
$620$	−24.1566	+	5.86159i	−0.970153	+	0.235407i
$621$	18.0337			0.723666
$622$	16.7362	−	5.16893i	0.671059	−	0.207255i
$623$	9.66047	+	9.66047i	0.387039	+	0.387039i
$624$	−8.71581	−	7.43274i	−0.348911	−	0.297548i
$625$	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
$628$	7.09337	+	1.33692i	0.283056	+	0.0533489i
$629$	−5.16277			−0.205853
$630$	10.4355	+	11.8052i	0.415762	+	0.470330i
$631$	−36.4065			−1.44932			−0.724660	−	0.689107i	$-0.758003\pi$
$631$	−36.4065			−1.44932			−0.724660	+	0.689107i	$0.758003\pi$
$632$	3.17015	+	2.52259i	0.126102	+	0.100343i
$633$	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
$638$	−22.2672	+	6.87719i	−0.881567	+	0.272270i
$639$		−	4.11156i		−	0.162651i
$640$	24.9545	−	4.15591i	0.986414	−	0.164277i
$641$	−13.3606			−0.527712			−0.263856	−	0.964562i	$-0.584994\pi$
$641$	−13.3606			−0.527712			−0.263856	+	0.964562i	$0.584994\pi$
$642$	6.24970	+	20.2355i	0.246656	+	0.798632i
$643$	−16.9126	+	16.9126i	−0.666968	+	0.666968i	−0.957013	−	0.290045i	$-0.906330\pi$
$643$	−16.9126	+	16.9126i	−0.666968	+	0.666968i	0.290045	+	0.957013i	$0.406330\pi$
$644$	−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	$-0.940918\pi$
$647$	−20.3051	+	20.3051i	−0.798274	+	0.798274i	0.184549	+	0.982823i	$0.440918\pi$
$648$	8.23442	+	6.55239i	0.323479	+	0.257402i
$649$			55.0490i			2.16086i
$650$	−25.4842	+	0.746921i	−0.999571	+	0.0292966i
$651$		−	9.28443i		−	0.363885i
$652$	1.98627	−	10.5387i	0.0777883	−	0.412725i
$653$	21.8481	−	21.8481i	0.854982	−	0.854982i	−0.135760	−	0.990742i	$-0.543348\pi$
$653$	21.8481	−	21.8481i	0.854982	−	0.854982i	0.990742	+	0.135760i	$0.0433475\pi$
$654$	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
$658$	13.6257	−	4.20827i	0.531185	−	0.164055i
$659$	19.3163			0.752456			0.376228	−	0.926527i	$-0.377221\pi$
$659$	19.3163			0.752456			0.376228	+	0.926527i	$0.377221\pi$
$660$	15.8235	+	9.64388i	0.615930	+	0.375387i
$661$		−	5.24920i		−	0.204170i	−0.994776	−	0.102085i	$-0.967449\pi$
$661$		−	5.24920i		−	0.204170i	0.994776	−	0.102085i	$-0.0325514\pi$
$662$	11.2158	+	36.3148i	0.435913	+	1.41142i
$663$	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
$668$	−24.6375	−	4.64355i	−0.953254	−	0.179664i
$669$	13.5584			0.524198
$670$	21.3628	−	18.8843i	0.825318	−	0.729564i
$671$	7.80917			0.301470
$672$	−0.689394	+	9.42382i	−0.0265939	+	0.363532i
$673$	−9.09875	+	9.09875i	−0.350731	+	0.350731i	−0.860382	−	0.509650i	$-0.829775\pi$
$673$	−9.09875	+	9.09875i	−0.350731	+	0.350731i	0.509650	+	0.860382i	$0.329775\pi$
$674$	11.1055	−	21.0307i	0.427769	−	0.810074i
$675$	−21.2795	+	1.34833i	−0.819048	+	0.0518972i
$676$	1.76547	−	25.9400i	0.0679025	−	0.997692i
$677$	11.0809	+	11.0809i	0.425873	+	0.425873i	0.887220	−	0.461347i	$-0.152634\pi$
$677$	11.0809	+	11.0809i	0.425873	+	0.425873i	−0.461347	+	0.887220i	$0.652634\pi$
$678$	−5.62431	−	18.2106i	−0.216000	−	0.699374i
$679$	−19.7193			−0.756759
$680$	−1.74122	+	6.88244i	−0.0667727	+	0.263930i
$681$			10.9060i			0.417920i
$682$	12.1017	+	39.1832i	0.463396	+	1.50040i
$683$	−10.4003	+	10.4003i	−0.397957	+	0.397957i	−0.877512	−	0.479555i	$-0.840798\pi$
$683$	−10.4003	+	10.4003i	−0.397957	+	0.397957i	0.479555	+	0.877512i	$0.340798\pi$
$684$	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
$688$	12.7227	−	5.57236i	0.485047	−	0.212444i
$689$	−33.4555	−	11.5915i	−1.27455	−	0.441602i
$690$	10.6012	+	0.652855i	0.403580	+	0.0248538i
$691$	7.44985			0.283406			0.141703	−	0.989909i	$-0.454742\pi$
$691$	7.44985			0.283406			0.141703	+	0.989909i	$0.454742\pi$
$692$	4.46466	−	23.6884i	0.169721	−	0.900496i
$693$	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
$698$	−9.63310	−	31.1904i	−0.364618	−	1.18057i
$699$	−2.69634			−0.101985
$700$	12.9340	+	16.5834i	0.488860	+	0.626795i
$701$	26.0315			0.983196			0.491598	−	0.870822i	$-0.336413\pi$
$701$	26.0315			0.983196			0.491598	+	0.870822i	$0.336413\pi$
$702$	0.738677	−	21.7319i	0.0278796	−	0.820216i
$703$	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
$708$	3.10442	−	16.4713i	0.116671	−	0.619029i
$709$	−29.8029			−1.11927			−0.559636	−	0.828738i	$-0.689059\pi$
$709$	−29.8029			−1.11927			−0.559636	+	0.828738i	$0.689059\pi$
$710$	0.337326	−	5.47756i	0.0126596	−	0.205569i
$711$			3.39352i			0.127267i
$712$	14.3775	+	11.4406i	0.538818	+	0.428755i
$713$	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
$718$	1.73676	−	0.536394i	0.0648152	−	0.0200181i
$719$	−3.67225			−0.136952			−0.0684760	−	0.997653i	$-0.521814\pi$
$719$	−3.67225			−0.136952			−0.0684760	+	0.997653i	$0.521814\pi$
$720$	15.7392	+	14.1887i	0.586564	+	0.528782i
$721$			23.6455i			0.880603i
$722$	7.92490	+	25.6595i	0.294934	+	0.954949i
$723$	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	$-0.568595\pi$
$727$	20.5737	−	20.5737i	0.763037	−	0.763037i	0.976870	+	0.213833i	$0.0685950\pi$
$728$	−18.1127	+	11.4857i	−0.671302	+	0.425687i
$729$		−	1.34635i		−	0.0498646i
$730$	−19.6780	+	17.3949i	−0.728316	+	0.643816i
$731$			3.89772i			0.144162i
$732$	−2.33659	−	0.440389i	−0.0863630	−	0.0162772i
$733$	−12.1861	−	12.1861i	−0.450105	−	0.450105i	0.445284	−	0.895389i	$-0.353103\pi$
$733$	−12.1861	−	12.1861i	−0.450105	−	0.450105i	−0.895389	+	0.445284i	$0.853103\pi$
$734$	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
$738$	−6.40603	−	20.7417i	−0.235809	−	0.763512i
$739$		−	40.3506i		−	1.48432i	−0.670223	−	0.742160i	$-0.733802\pi$
$739$		−	40.3506i		−	1.48432i	0.670223	−	0.742160i	$-0.266198\pi$
$740$	−10.7046	+	17.5640i	−0.393510	+	0.645665i
$741$	−0.275003	−	0.0952820i	−0.0101025	−	0.00350027i
$742$	8.61881	+	27.9063i	0.316407	+	1.02447i
$743$	−28.7552	+	28.7552i	−1.05493	+	1.05493i	−0.0565244	+	0.998401i	$0.518002\pi$
$743$	−28.7552	+	28.7552i	−1.05493	+	1.05493i	−0.998401	+	0.0565244i	$0.981998\pi$
$744$	−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
$748$	11.5096	+	2.16927i	0.420832	+	0.0793162i
$749$	39.6541			1.44893
$750$	−12.5581	+	0.0222617i	−0.458555	+	0.000812882i
$751$		−	15.9959i		−	0.583698i	−0.956464	−	0.291849i	$-0.905730\pi$
$751$		−	15.9959i		−	0.583698i	0.956464	−	0.291849i	$-0.0942704\pi$
$752$	17.5680	−	7.69455i	0.640638	−	0.280592i
$753$	7.19731	−	7.19731i	0.262285	−	0.262285i
$754$	10.9954	+	11.7692i	0.400430	+	0.428609i
$755$	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	0.305033	−	0.952342i	$-0.401332\pi$
$757$	−17.8098	−	17.8098i	−0.647308	−	0.647308i	−0.952342	+	0.305033i	$0.901332\pi$
$758$	−26.8774	+	8.30104i	−0.976232	+	0.301507i
$759$		−	17.5227i		−	0.636034i
$760$	0.552106	−	0.329153i	0.0200270	−	0.0119396i
$761$			17.5187i			0.635053i	0.948249	+	0.317526i	$0.102852\pi$
$761$			17.5187i			0.635053i	−0.948249	+	0.317526i	$0.897148\pi$
$762$	−2.17122	−	7.03007i	−0.0786551	−	0.254672i
$763$	−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
$768$	0.511238	+	12.6976i	0.0184477	+	0.458185i
$769$	−0.804873			−0.0290244			−0.0145122	−	0.999895i	$-0.504620\pi$
$769$	−0.804873			−0.0290244			−0.0145122	+	0.999895i	$0.504620\pi$
$770$	25.9956	−	22.9796i	0.936816	−	0.828126i
$771$		−	5.20675i		−	0.187516i
$772$	20.3203	+	3.82986i	0.731343	+	0.137840i
$773$	9.62801	+	9.62801i	0.346296	+	0.346296i	0.858728	−	0.512432i	$-0.171255\pi$
$773$	9.62801	+	9.62801i	0.346296	+	0.346296i	−0.512432	+	0.858728i	$0.671255\pi$
$774$	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
$778$	20.5683	−	6.35248i	0.737409	−	0.227747i
$779$	−0.658485			−0.0235927
$780$	1.22097	−	12.7484i	0.0437178	−	0.456467i
$781$	−9.05387			−0.323973
$782$	6.41415	−	1.98100i	0.229370	−	0.0708403i
$783$	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	$-0.481049\pi$
$787$	−26.3346	−	26.3346i	−0.938728	−	0.938728i	−0.998228	+	0.0594999i	$0.981049\pi$
$788$	2.40099	−	12.7391i	0.0855317	−	0.453810i
$789$		−	23.6240i		−	0.841036i
$790$	−0.278416	+	4.52096i	−0.00990558	+	0.160849i
$791$	−35.6860			−1.26885
$792$	21.7679	−	27.3558i	0.773488	−	0.972046i
$793$	−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	0.980687	−	0.195582i	$-0.0626595\pi$
$797$	22.1645	+	22.1645i	0.785106	+	0.785106i	−0.195582	+	0.980687i	$0.562659\pi$
$798$	0.0708464	+	0.229389i	0.00250794	+	0.00812029i
$799$			5.38213i			0.190406i
$800$	19.8041	+	20.1940i	0.700182	+	0.713965i
$801$			15.3905i			0.543797i
$802$	−12.2354	+	3.77889i	−0.432048	+	0.133437i
$803$	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
$806$	20.7101	−	19.3485i	0.729481	−	0.681520i
$807$	6.34781	−	6.34781i	0.223453	−	0.223453i
$808$	41.8204	+	33.2778i	1.47124	+	1.17071i
$809$			1.51933i			0.0534167i	0.999643	+	0.0267083i	$0.00850254\pi$
$809$			1.51933i			0.0534167i	−0.999643	+	0.0267083i	$0.991497\pi$
$810$	−0.723181	+	11.7431i	−0.0254100	+	0.412612i
$811$	−35.6276			−1.25105			−0.625527	−	0.780202i	$-0.715116\pi$
$811$	−35.6276			−1.25105			−0.625527	+	0.780202i	$0.715116\pi$
$812$	2.46077	−	13.0562i	0.0863561	−	0.458184i
$813$	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
$818$	−3.98249	−	12.8947i	−0.139245	−	0.450852i
$819$	−16.9750	−	5.88143i	−0.593154	−	0.205514i
$820$	−6.83261	−	28.1583i	−0.238605	−	0.983331i
$821$		−	46.2038i		−	1.61252i	−0.591558	−	0.806262i	$-0.701487\pi$
$821$		−	46.2038i		−	1.61252i	0.591558	−	0.806262i	$-0.298513\pi$
$822$	−0.0560168	−	0.181373i	−0.00195381	−	0.00632612i
$823$	−27.3526	−	27.3526i	−0.953451	−	0.953451i	0.0455126	−	0.998964i	$-0.485508\pi$
$823$	−27.3526	−	27.3526i	−0.953451	−	0.953451i	−0.998964	+	0.0455126i	$0.985508\pi$
$824$	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	$-0.244851\pi$
$827$	0.657877	+	0.657877i	0.0228766	+	0.0228766i	−0.695576	+	0.718453i	$0.744851\pi$
$828$	3.71128	−	19.6912i	0.128976	−	0.684315i
$829$		−	35.9608i		−	1.24897i	−0.781036	−	0.624485i	$-0.785309\pi$
$829$		−	35.9608i		−	1.24897i	0.781036	−	0.624485i	$-0.214691\pi$
$830$	−30.4998	−	34.5029i	−1.05866	−	1.19761i
$831$			17.6644i			0.612772i
$832$	−22.4577	+	18.1012i	−0.778580	+	0.627545i
$833$	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
$838$	−7.13861	−	23.1137i	−0.246599	−	0.798448i
$839$			32.6599i			1.12754i	0.825930	+	0.563772i	$0.190650\pi$
$839$			32.6599i			1.12754i	−0.825930	+	0.563772i	$0.809350\pi$
$840$	−9.07409	+	5.40976i	−0.313086	+	0.186654i
$841$	19.0225			0.655950
$842$	10.2575	−	3.16801i	0.353497	−	0.109177i
$843$	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
$848$	15.7590	+	35.9804i	0.541165	+	1.23557i
$849$			16.4122i			0.563264i
$850$	−7.42049	+	2.81712i	−0.254521	+	0.0966263i
$851$	19.4501			0.666739
$852$	2.70902	+	0.510582i	0.0928096	+	0.0174923i
$853$	22.3999	+	22.3999i	0.766957	+	0.766957i	0.977570	−	0.210612i	$-0.0675458\pi$
$853$	22.3999	+	22.3999i	0.766957	+	0.766957i	−0.210612	+	0.977570i	$0.567546\pi$
$854$	−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	0.907307	−	0.420468i	$-0.138134\pi$
$857$	14.2520	+	14.2520i	0.486839	+	0.486839i	−0.420468	+	0.907307i	$0.638134\pi$
$858$	−21.1161	−	0.717747i	−0.720892	−	0.0245035i
$859$	12.2688			0.418605			0.209303	−	0.977851i	$-0.432881\pi$
$859$	12.2688			0.418605			0.209303	+	0.977851i	$0.432881\pi$
$860$	13.2602	+	8.08164i	0.452170	+	0.275581i
$861$	10.8225			0.368829
$862$	11.8127	+	38.2476i	0.402342	+	1.30272i
$863$	−10.4213	+	10.4213i	−0.354747	+	0.354747i	−0.861872	−	0.507126i	$-0.830708\pi$
$863$	−10.4213	+	10.4213i	−0.354747	+	0.354747i	0.507126	+	0.861872i	$0.330708\pi$
$864$	−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
$868$	−22.9748	−	4.33017i	−0.779816	−	0.146976i
$869$	7.47270			0.253494
$870$	5.25439	+	5.94402i	0.178140	+	0.201521i
$871$	−10.6431	+	30.7182i	−0.360628	+	1.04085i
$872$	−38.2857	−	30.4652i	−1.29652	−	1.03168i
$873$	−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	−0.853078	−	0.521783i	$-0.825267\pi$
$877$	−9.81104	+	9.81104i	−0.331295	+	0.331295i	0.521783	+	0.853078i	$0.325267\pi$
$878$	−0.0765895	−	0.247984i	−0.00258477	−	0.00836907i
$879$			9.61194i			0.324203i
$880$	31.2442	−	34.6584i	1.05324	−	1.16833i
$881$	−10.8207			−0.364560			−0.182280	−	0.983247i	$-0.558348\pi$
$881$	−10.8207			−0.364560			−0.182280	+	0.983247i	$0.558348\pi$
$882$	−2.54794	−	8.24983i	−0.0857938	−	0.277786i
$883$	−34.4122	−	34.4122i	−1.15806	−	1.15806i	−0.984892	−	0.173171i	$-0.944599\pi$
$883$	−34.4122	−	34.4122i	−1.15806	−	1.15806i	−0.173171	−	0.984892i	$-0.555401\pi$
$884$	−2.12451	−	7.81065i	−0.0714551	−	0.262701i
$885$	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	$-0.879363\pi$
$887$	−16.6500	+	16.6500i	−0.559053	+	0.559053i	0.369985	+	0.929038i	$0.379363\pi$
$888$	−8.08495	−	6.43346i	−0.271313	−	0.215893i
$889$	−13.7763			−0.462043
$890$	−1.26269	+	20.5038i	−0.0423254	+	0.687287i
$891$	19.4103			0.650268
$892$	6.32351	−	33.5510i	0.211727	−	1.12337i
$893$	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
$898$	13.8743	+	44.9229i	0.462993	+	1.49910i
$899$			17.5571i			0.585564i
$900$	−2.90701	+	23.5128i	−0.0969003	+	0.783759i
$901$	−11.0230			−0.367228
$902$	−45.6742	+	14.1064i	−1.52078	+	0.469691i
$903$	−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	$-0.763507\pi$
$907$	−1.80681	+	1.80681i	−0.0599942	+	0.0599942i	0.676473	+	0.736467i	$0.263507\pi$
$908$	26.9876	+	5.08648i	0.895615	+	0.168801i
$909$			44.7671i			1.48483i
$910$	−22.1321	−	9.22811i	−0.733673	−	0.305909i
$911$			43.0711i			1.42701i	0.700651	+	0.713504i	$0.252893\pi$
$911$			43.0711i			1.42701i	−0.700651	+	0.713504i	$0.747107\pi$
$912$	0.129538	+	0.295758i	0.00428944	+	0.00979352i
$913$	−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
$918$	−1.99766	−	6.46810i	−0.0659327	−	0.213479i
$919$	−5.15410			−0.170018			−0.0850090	−	0.996380i	$-0.527092\pi$
$919$	−5.15410			−0.170018			−0.0850090	+	0.996380i	$0.527092\pi$
$920$	6.55982	−	25.9287i	0.216271	−	0.854845i
$921$			14.9462i			0.492495i
$922$	44.5766	−	13.7674i	1.46805	−	0.453406i
$923$	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
$928$	1.30367	−	17.8207i	0.0427949	−	0.584995i
$929$	12.7259			0.417523			0.208762	−	0.977967i	$-0.433057\pi$
$929$	12.7259			0.417523			0.208762	+	0.977967i	$0.433057\pi$
$930$	10.4596	−	9.24604i	0.342983	−	0.303190i
$931$	−0.261907			−0.00858365
$932$	−1.25755	+	6.67224i	−0.0411924	+	0.218556i
$933$	−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
$936$	−23.5772	−	5.27893i	−0.770646	−	0.172547i
$937$	−2.50749	−	2.50749i	−0.0819160	−	0.0819160i	0.664962	−	0.746878i	$-0.268448\pi$
$937$	−2.50749	−	2.50749i	−0.0819160	−	0.0819160i	−0.746878	+	0.664962i	$0.768448\pi$
$938$	25.6231	−	7.91363i	0.836622	−	0.258389i
$939$	10.2304			0.333857
$940$	18.3103	+	11.1595i	0.597216	+	0.363981i
$941$		−	4.79697i		−	0.156377i	−0.996939	−	0.0781884i	$-0.975086\pi$
$941$		−	4.79697i		−	0.156377i	0.996939	−	0.0781884i	$-0.0249136\pi$
$942$	−3.87335	+	1.19628i	−0.126201	+	0.0389768i
$943$	−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	$-0.121570\pi$
$947$	17.0867	+	17.0867i	0.555243	+	0.555243i	−0.372706	+	0.927949i	$0.621570\pi$
$948$	−2.23592	−	0.421414i	−0.0726193	−	0.0136869i
$949$	9.80372	−	28.2955i	0.318242	−	0.918512i
$950$	0.655435	+	0.294718i	0.0212651	+	0.00956193i
$951$	11.0674			0.358884
$952$	−4.15754	+	5.22480i	−0.134747	+	0.169337i
$953$	−24.3625	+	24.3625i	−0.789180	+	0.789180i	−0.981360	−	0.192180i	$-0.938444\pi$
$953$	−24.3625	+	24.3625i	−0.789180	+	0.789180i	0.192180	+	0.981360i	$0.438444\pi$
$954$	−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
$958$	38.1111	−	11.7705i	1.23131	−	0.380289i
$959$	−0.355424			−0.0114773
$960$	−11.3032	+	8.60821i	−0.364808	+	0.277829i
$961$	−0.105013			−0.00338750
$962$	0.796693	−	23.4387i	0.0256864	−	0.755694i
$963$	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	$-0.168507\pi$
$967$	11.1363	+	11.1363i	0.358120	+	0.358120i	−0.504999	+	0.863120i	$0.668507\pi$
$968$	−35.8933	−	28.5614i	−1.15365	−	0.917999i
$969$	−0.0906084			−0.00291076
$970$	−19.6378	−	22.2153i	−0.630532	−	0.713289i
$971$		−	43.4865i		−	1.39555i	−0.716318	−	0.697774i	$-0.754174\pi$
$971$		−	43.4865i		−	1.39555i	0.716318	−	0.697774i	$-0.245826\pi$
$972$	−30.9517	−	5.83360i	−0.992775	−	0.187113i
$973$	−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	−0.962301	−	0.271986i	$-0.912320\pi$
$977$	−21.5772	+	21.5772i	−0.690315	+	0.690315i	0.271986	+	0.962301i	$0.412320\pi$
$978$	1.77731	+	5.75465i	0.0568322	+	0.184014i
$979$	33.8907			1.08315
$980$	−2.71761	−	11.1997i	−0.0868110	−	0.357763i
$981$		−	40.9834i		−	1.30850i
$982$	26.7452	−	8.26022i	0.853475	−	0.263594i
$983$	26.7928	−	26.7928i	0.854556	−	0.854556i	−0.136134	−	0.990690i	$-0.543468\pi$
$983$	26.7928	−	26.7928i	0.854556	−	0.854556i	0.990690	+	0.136134i	$0.0434679\pi$
$984$	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
$988$	−0.364039	+	0.636072i	−0.0115816	+	0.0202361i
$989$		−	14.6841i		−	0.466929i
$990$	39.0122	+	2.40250i	1.23989	+	0.0763564i
$991$		−	27.9850i		−	0.888974i	−0.895785	−	0.444487i	$-0.853386\pi$
$991$		−	27.9850i		−	0.888974i	0.895785	−	0.444487i	$-0.146614\pi$
$992$	−31.3588	−	2.29404i	−0.995644	−	0.0728357i
$993$	−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	0.722234	−	0.691649i	$-0.243115\pi$
$997$	0.965726	+	0.965726i	0.0305848	+	0.0305848i	−0.691649	+	0.722234i	$0.743115\pi$
$998$	−20.4348	+	6.31124i	−0.646852	+	0.199779i
$999$		−	19.6137i		−	0.620549i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.3	✓	64	65.38	odd	4	inner
260.2.p.d.103.14	yes	64	20.3	even	4	inner
260.2.p.d.103.19	yes	64	260.103	even	4	inner
260.2.p.d.103.30	yes	64	5.3	odd	4	inner
260.2.p.d.207.3	yes	64	4.3	odd	2	inner
260.2.p.d.207.14	yes	64	13.12	even	2	inner
260.2.p.d.207.19	yes	64	1.1	even	1	trivial
260.2.p.d.207.30	yes	64	52.51	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.417327 + 1.35124i) q^{2} +(-0.561614 - 0.561614i) q^{3} +(-1.65168 + 1.12781i) q^{4} +(-2.09189 - 0.789927i) q^{5} +(0.524497 - 0.993250i) q^{6} +(-1.48711 - 1.48711i) q^{7} +(-2.21323 - 1.76114i) q^{8} -2.36918i q^{9} +O(q^{10})\)	\(q+(0.417327 + 1.35124i) 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} +(-2.21323 - 1.76114i) q^{8} -2.36918i q^{9} +(0.194375 - 3.15630i) q^{10} -5.21705 q^{11} +(1.56100 + 0.294209i) 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} +(3.20132 - 0.988721i) q^{18} -0.101632i q^{19} +(4.34602 - 1.05456i) q^{20} +1.67036i q^{21} +(-2.17721 - 7.04946i) q^{22} +(-2.99025 - 2.99025i) q^{23} +(0.253901 + 2.23206i) q^{24} +(3.75203 + 3.30488i) q^{25} +(-3.72595 + 3.48099i) q^{26} +(-3.01541 + 3.01541i) q^{27} +(4.13341 + 0.779042i) q^{28} -3.15871i q^{29} +(-1.88179 + 1.66346i) q^{30} -5.55833 q^{31} +(5.64178 + 0.412721i) 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} +(0.137329 - 0.0424138i) q^{38} +(0.937519 - 2.70587i) q^{39} +(3.23867 + 5.43240i) q^{40} -6.47910i q^{41} +(-2.25706 + 0.697087i) 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} +(-2.91008 + 1.27458i) q^{48} -2.57701i q^{49} +(-2.89986 + 6.44910i) q^{50} -0.891534i q^{51} +(-6.25857 - 3.58193i) 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} +(4.26816 - 1.31821i) q^{58} -10.5517i q^{59} +(-3.03304 - 1.84853i) q^{60} -1.49686 q^{61} +(-2.31964 - 7.51061i) 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} +(-2.20615 - 0.415803i) q^{68} +3.35874i q^{69} +(-4.98282 + 4.40470i) q^{70} +1.73544 q^{71} +(-4.17245 + 5.24354i) 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} +(4.04752 + 0.137577i) q^{78} -1.43236 q^{79} +(-5.98888 + 6.64330i) q^{80} -3.72054 q^{81} +(8.75480 - 2.70390i) 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} +(11.5465 + 9.18794i) q^{88} -6.49614 q^{89} +(-7.47783 - 0.460509i) q^{90} +(2.48247 - 7.16493i) q^{91} +(8.31138 + 1.56649i) 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} +(3.48215 - 1.07545i) 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

Introduction

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