> For the ring of polynomials with coefficients over ZZ:
>
> ----------------------------------------------------------------------
>
> | Sage Version 4.1, Release Date: 2009-07-09                         |
> | Type notebook() for the GUI, and license() for information.        |
>
> ----------------------------------------------------------------------
> sage: K.<x> = ZZ["x"]
> sage: f = 2*x^2 + 3*x + 1
> sage: %timeit power_mod(f, 10, 24)
> 10000 loops, best of 3: 93.7 µs per loop

This is about 5x slower than the native way using FLINT's zmod_poly on my 
machine:

sage: K.<x> = ZZ["x"]
sage: f = 2*x^2 + 3*x + 1
sage: %timeit power_mod(f, 10, 24)
10000 loops, best of 3: 104 µs per loop

sage: P.<x> = PolynomialRing(Zmod(24))
sage: f = 2*x^2 + 3*x + 1
sage: %timeit f**10
100000 loops, best of 3: 19.3 µs per loop

Cheers,
Martin



-- 
name: Martin Albrecht
_pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
_otr: 47F43D1A 5D68C36F 468BAEBA 640E8856 D7951CCF
_www: http://www.informatik.uni-bremen.de/~malb
_jab: [email protected]



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