complex eigenvalues

188 days ago by jason3

M3=matrix(RDF,[ [0, 0.095, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.905], [0.255, 0, 0.745, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0.255, 0, 0.745, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0.905, 0, 0.095, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0.255, 0, 0.745, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0.255, 0, 0.745, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0.905, 0, 0.095, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0.255, 0, 0.745, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0.255, 0, 0.745, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0.905, 0, 0.095, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0.255, 0, 0.745], [0.745, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.255,0]]) M3.eigenvalues() 
        
[1.0, 0.872055103446, 0.942581873718 + 0.00344425423058*I,
0.942581873718 - 0.00344425423058*I, -1.0, -0.872055103446,
-0.942581873718 + 0.00344425423058*I, -0.942581873718 -
0.00344425423058*I, 0.127944896554, -0.127944896554, -4.59701721134e-17
+ 0.00688850846116*I, -4.59701721134e-17 - 0.00688850846116*I]
[1.0, 0.872055103446, 0.942581873718 + 0.00344425423058*I, 0.942581873718 - 0.00344425423058*I, -1.0, -0.872055103446, -0.942581873718 + 0.00344425423058*I, -0.942581873718 - 0.00344425423058*I, 0.127944896554, -0.127944896554, -4.59701721134e-17 + 0.00688850846116*I, -4.59701721134e-17 - 0.00688850846116*I]
M3=matrix(QQ,[ [0, 0.095, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.905], [0.255, 0, 0.745, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0.255, 0, 0.745, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0.905, 0, 0.095, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0.255, 0, 0.745, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0.255, 0, 0.745, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0.905, 0, 0.095, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0.255, 0, 0.745, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0.255, 0, 0.745, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0.905, 0, 0.095, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0.255, 0, 0.745], [0.745, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.255,0]]) M3.eigenvalues() 
        
[1, -1, 0.1279448965542873?, 0.8720551034457127?, -0.8720551034457127?,
-0.1279448965542873?, -0.9425818737179357? - 0.0034442542305791?*I,
-0.9425818737179357? + 0.0034442542305791?*I, -0.006888508461158187?*I,
0.006888508461158187?*I, 0.9425818737179357? - 0.0034442542305791?*I,
0.9425818737179357? + 0.0034442542305791?*I]
[1, -1, 0.1279448965542873?, 0.8720551034457127?, -0.8720551034457127?, -0.1279448965542873?, -0.9425818737179357? - 0.0034442542305791?*I, -0.9425818737179357? + 0.0034442542305791?*I, -0.006888508461158187?*I, 0.006888508461158187?*I, 0.9425818737179357? - 0.0034442542305791?*I, 0.9425818737179357? + 0.0034442542305791?*I]