2010/1/12 javier vengor...@gmail.com:
On Jan 12, 12:47 am, William Stein wst...@gmail.com wrote:
Isn't the case of non-prime fields also already in Sage? It was in my
example.
The __call__ function for a non-prime field yes, was already defined.
What wasn't was the conversion of a gap
I haven't time right now to go through the different finite field
types in Sage, but not that Conway polynomials are not known (as far
as I know) for all combinations of characteristic and degree, so they
give a good solution for some (common) cases but not all.
Many of us would dearly like to be
John,
On Jan 11, 10:24 pm, javier vengor...@gmail.com wrote:
Hi Dima,
On Jan 11, 4:14 am, Dima Pasechnik dimp...@gmail.com wrote:
I reckon this must be due to Sage representing the finite field of
order p^n
as quotient rings F_p[x]/(f(x)), with f an irreducible polynomial of
degree n.
On Jan 11, 11:04 pm, Dima Pasechnik dimp...@gmail.com wrote:
John,
oops, I meant Javier
On Jan 11, 10:24 pm, javier vengor...@gmail.com wrote:
Hi Dima,
On Jan 11, 4:14 am, Dima Pasechnik dimp...@gmail.com wrote:
I reckon this must be due to Sage representing the finite field of
Dima,
On Jan 11, 3:04 pm, Dima Pasechnik dimp...@gmail.com wrote:
no, from GAP's point of view, Z(2^4)^5 is an element of GF(4).
And thus b is such an element, too...
then from the gap-to-sage point of view nothing else can be done. A
coercion between finite fields is needed before this method
On Mon, Jan 11, 2010 at 4:16 PM, javier vengor...@gmail.com wrote:
Dima,
On Jan 11, 3:04 pm, Dima Pasechnik dimp...@gmail.com wrote:
no, from GAP's point of view, Z(2^4)^5 is an element of GF(4).
And thus b is such an element, too...
then from the gap-to-sage point of view nothing else can
Hi William,
On Jan 12, 12:24 am, William Stein wst...@gmail.com wrote:
Dumb question. There is code in Sage already to convert from GAP's
GF(p) (or GF(q)) to Sage's:
you are completely right. Since at the beginning I tried to do
something like
sage: a = gap(Z(7))
sage: a.sage()
and that
On Mon, Jan 11, 2010 at 4:46 PM, javier vengor...@gmail.com wrote:
Hi William,
On Jan 12, 12:24 am, William Stein wst...@gmail.com wrote:
Dumb question. There is code in Sage already to convert from GAP's
GF(p) (or GF(q)) to Sage's:
you are completely right. Since at the beginning I tried
On Jan 12, 12:47 am, William Stein wst...@gmail.com wrote:
Isn't the case of non-prime fields also already in Sage? It was in my
example.
The __call__ function for a non-prime field yes, was already defined.
What wasn't was the conversion of a gap non-prime field into a sage
prime field.
Hi Simon,
On Jan 10, 7:57 pm, Simon King simon.k...@nuigalway.ie wrote:
Is it possible to chose take the same name that GAP uses?
In GAP the generator of (the multiplicative group of) say GF(16) is
called Z(2^4), so I guess the answer is no, we cannot use GAP name.
We can go for something like
On Jan 11, 7:19 am, javier vengor...@gmail.com wrote:
[...]
I have been trying some code to convert elements of gap finite fields
into the corresponding elements of sage finite fields. The sort of
straightforward manner fails because of this behavior:
sage: a = gap(Z(2^4))
sage: a^5
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