This bug is tracked now in 

https://trac.sagemath.org/ticket/34591

On Tuesday, September 27, 2022 at 6:31:39 PM UTC+9 wdjo...@gmail.com wrote:

> On Tue, Sep 27, 2022 at 4:46 AM John Cremona <john.c...@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
> >
>
> Even after coercion it doesn't evaluate in ZZ/8ZZ:
>
> sage: ZZ8 = IntegerModRing(8)
> sage: R.<x,y> = PolynomialRing(ZZ8, "x,y")
> sage: f = x^3-x^2*y+x*y^2+y^3
> sage: x0 = ZZ8(4)
> sage: y0 = ZZ8(2)
> sage: x0^3-x0^2*y0+x0*y0^2+y0^3
> 0
> sage: f(x0,y0)
> 6
> sage: f(4,2)
> 6
>
> >
> > 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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> .
>

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