On Wed, Mar 18, 2015 at 5:01 AM, Chris Wuthrich
<[email protected]> wrote:
> Since I was at the origin of the argument for a change (long time ago
> already), I better add my opinion:
>
> I would change all number field printing by reversing the order. For
> instance this feels unnatural to me:
>
> sage: K = NumberField(x^7-3, "a")
> sage: K([1,2,3,4,5,6,7])
> 7*a^6 + 6*a^5 + 5*a^4 + 4*a^3 + 3*a^2 + 2*a + 1
>
> I really believe a large majority of number theorist will write
>  1+ zeta + zeta^2
>  in cyclotomic fields  or
>   1+ sqrt[3]{7} +...
> more generally etc.
>
> However, it is purely an aesthetic question.

-1 to this proposal because what Sage currently does is consistent
with what PARI and Magma both currently do.  See [1].




[1] 
https://cloud.sagemath.com/projects/2bfce692-d0d8-4b89-968e-d9825f175a0f/files/support/2015-03-18-092139-nf-order.sagews



-- 
William (http://wstein.org)

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