# Force positive representation in GF

I work with arbitrary finite field `GF(q)`

, for `q`

power of prime. I've been looking around for some function, which would force, that any element is printed as a positive natural number. i.e. in `GF(5)`

, `-2`

is printed as `3`

etc. Is that possible in an easy way? I need to achieve that for arbitraty `q`

. I've been thinking about writing some own function, but it seems intractable for me at the moment.

Do have an example where this is not the case? In

`GF(5)`

for instance, I get:Yep, for polynomials with coefficients in

`GF(q)`

The sage naturally decides to print the lower number, i.e.`-2`

instead of`3`

in case of`GF(5)`

.Oh, I think I was able to reproduce the behavior: Are you working with multivariate polynomials over

`GF(5)`

? This due to the fact that Sage uses Singular's string representation for those polynomials, which itself uses negative integers to represent finite fields elements. As far as I know, there is no way to make Sage represent these polynomials using only positive integers. Note though that if you have a polynomial`p`

,`p.coefficients()`

gives you the coefficients as positive integers. You can use this to construct your own string representation of the polynomial.