Thanks!

On Tuesday, September 27, 2022 at 3:02:25 PM UTC+1 Kwankyu wrote:

> 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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