Hello! I have another problem with finitefields. I create a field, for example, GF(103^2) and later I use an element from it, which will be also an element of the subfield GF(103), i.e. a=99 is an element of both GF(103) and GF(103^2). But then the program doesn't convert "a" to an element of GF(103)... Do you know a method for this?
Sage does not try to automatically put elements in the smallest subfield that they belong to. You need to do that explicitly. You can use something like the line g = P(f) below which converts an element f from GF(103^2) to an element g of GF(103) :
sage: R.<a> = GF(103^2)
sage: P.<b> = GF(103)
sage: sage: f = R(99); f
99
sage: f.parent()
Finite Field in a of size 103^2
sage: g = P(f); g
99
sage: g.parent()
Finite Field of size 103
Asked: 2010-12-06 08:40:48 +0200
Seen: 1,002 times
Last updated: Dec 06 '10
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can you update your question with a sample of the code you're using (and what fails to work)?