The iterated subs turns out to be correct

sage: F.subs(X=4).subs(Y=2)
0
sage: F.subs(Y=2).subs(X=4)
0

But not the one shot version (which is supposedly equivalent to the evaluation)

sage: F.subs(X=4, Y=2)
6

There is definitely something wrong!!

Vincent

On Tue, 27 Sept 2022 at 10:46, John Cremona <john.crem...@gmail.com> wrote:
>
> Am I doing something stupid here, or is this a bug?
>
> sage: R = Integers(8)
> sage: RXY.<X,Y> = R[]
> sage: F = X^3-X^2*Y+X*Y^2+Y^3
> sage: F([4,2])
> 6
> sage: 4^3-4^2*2+4*2^2+2^3
> 56
> sage: (4^3-4^2*2+4*2^2+2^3) % 8
> 0
>
>
> Why does F not evaluate to 0 mod 8 at X=4, Y=2? Rather obviously, each
> of the terms in F(4,2) is 0 mod 8.
>
> John
>
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