Hi,

this might be a design decision, so I haven't filed a bug report for it yet.
However, it seems that coefficient is returning the wrong type when it's
called on multinomials. Here is an example code:

sage: K.<x,y,z>=QQ[]
sage: f = x^3+y^3+z^3
sage: f.coefficient([3,0,0]).parent()
Multivariate Polynomial Ring in x, y, z over Rational Field

It makes more sense for the above return value to be the Rational Field.
Similarly, f.coefficient([3,None,None]).parent(), should probably return
"Multivariate Polynomial Ring in x, z over Rational Field".

Should I file a bug for this?
Soroosh

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