Any idea what happens here?

Don't ask whether that is useful. I just realized that 'sin' is implemented in UnivariateTaylorSeries if the coefficient domain satisfies Algebra(Fraction Integer).

Looks somehow like a bug to me. I have the suspicion that the code to compute the sine series relies on differentiation and therefore on CharacteristicZero.

Ralf


                 FriCAS (AXIOM fork) Computer Algebra System
                            Version: FriCAS 1.0.9
               Timestamp: Monday February 1, 2010 at 22:13:35
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(1) ->
(1) -> P := PrimeField 2

   (1)  PrimeField(2)

Type: Type
(2) -> P has Algebra Fraction Integer

   (2)  true
Type: Boolean
(3) -> T := UnivariateTaylorSeries(P, t, 0)

   (3)  UnivariateTaylorSeries(PrimeField(2),t,0)

Type: Type
(4) -> t: T := monomial(1,1)

   (4)  t
Type: UnivariateTaylorSeries(PrimeField(2),t,0)

(5) -> sin(t)


   >> Error detected within library code:
   not invertible

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