Hi all,
This is my first time with sage and I'm trying to work with polynomials
over finite fields. Probably due to my lack of knowledge, I'm getting
some unexpected behaviour. In particular, the output of, let's say
F = GF(3)
R.<x> = F[]
T(x)=5*x^2+3
T
is
x |→ 5x2+3
I also get the same output with
x = PolynomialRing(GF(3), 'x').gen()
T(x)=5*x^2+3
T
I guess I would expect the coefficients to be reduced
modulo 3 since we are working over GF(3). At least,
I would expect, say T(F(1)) to be reduced modulo 3,
but instead I get:
F = GF(3)
R.<x> = F[]
T(x)=5*x^2+3
T(F(1))
output: 8
Any comments? What is that I'm not doing right?
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