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Evaluation map and ideal from polynomial ring K[X] -> K

How can I define a localized evaluation map ϕa1,,an:K[x1,,xn]K by ϕa1,,an(p(x1,,xn))=p(a1,,an)?

K = GF(47)
R.<x, y> = K[]
H = HomEval(K(10), K(20))

And also how can I construct the ideal of this map?

Evaluation map and ideal from polynomial ring K[X] -> K

How can I define a localized evaluation map ϕa1,,an:K[x1,,xn]K by ϕa1,,an(p(x1,,xn))=p(a1,,an)?

K = GF(47)
R.<x, y> = K[]
H = HomEval(K(10), R.hom_eval(K(10), K(20))
assert H(x - 10, y - 20) == 0

And also how can I construct the ideal of this map?

Evaluation map and ideal from polynomial ring K[X] -> K

How can I define a localized evaluation map ϕa1,,an:K[x1,,xn]K by ϕa1,,an(p(x1,,xn))=p(a1,,an)?

K = GF(47)
R.<x, y> = K[]
H = R.hom_eval(K(10), K(20))
assert H(x H((x - 10, y 10)*(y - 20) 20)) == 0

And also how can I construct the ideal of this map?