+1 for the change; this is what both Maple and Mathematica and Most
Mathematicians do.

On Wed, Mar 18, 2015 at 9:25 AM, William Stein <[email protected]> wrote:
> 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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