Hello,
I am looking for a nicer way to cast a univariate poly to a multivariate
ring with the different base fields.
Basically base fields are both GF(2^3) but with different generators. I
want generator of the first to be mapped to the generator of the second.
sage: f
x^6 + a*x^5 + (a + 1)*x^4 + (a^2 + a + 1)*x^3 + (a^2 + 1)*x^2 + (a + 1)*x +
a^2 + a + 1
sage: f.parent()
Univariate Polynomial Ring in x over Finite Field in a of size 2^3
sage: R
Multivariate Polynomial Ring in l0, l1, l2, f0, f1, f2, f3, f4, f5, f6, f7,
b0, b1, b2, b3, x, y over Finite Field in h of size 2^3
First one has a generator a, the second has the generator h.
My current solution is very unsagey.
f = sage_eval(str(f), locals={'x':x,'a':h})
x^6 + (h)*x^5 + (h + 1)*x^4 + (h^2 + h + 1)*x^3 + (h^2 + 1)*x^2 + (h + 1)*x
+ (h^2 + h + 1)
Best,
evrim.
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