Hi,

I have the following matrix and want to determine the eigenvalues of
it.

M3=matrix(RR,[
[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()

I got the following message:

NotImplementedError: eigenvalues() is not implemented for matrices
with
eigenvalues that are not in the fraction field of the base ring or in
QQbar

I have no idea what the message mean as I don't have enough math
backgrounds to make sense of it. I tried to do the same thing on
Mathematica and I got several complex eigenvalues. I wonder if sage
does not support determining complex eigenvalues.

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