So SageMath is new for me and I'm trying to find the parent element of F_16. My code is simple, but I have no idea why it doesn't work. Here it is:
F.<x> = GF(2)[]
K.<y> = GF(16, modulus=y^2 + x * y + 1)
The result is TypeError: not a constant polynomial
Is it about y^2 + x * y + 1? Why should it be constant? I'll appreciate any help.