Hah, nice catch! I did not try either of them and that helps find out more:
Apples-MacBook-Pro:~ apple$ sage --kash
/Users/apple/sage/local/bin/kash: line 4: ./kash3: Bad CPU type in executable
I get the above. I am using Sage Version 6.2.beta7, Release Date: 2014-04-08.
So, how do I proceed with this one.
On Apr 19, 2014, at 7:45 PM, leif <not.rea...@online.de> wrote:
> Kannappan Sampath wrote:
>> I am trying to prepare a notebook for a SAGE demo at my institute. In
>> rying to compute the Galois group, I am stuck here. SAGE complains that
>> I have to install KASH while I already have KASH installed.
>>
>>
>> sage: K.<a> = NumberField(x^13 + 3*x + 5)
>>
>> sage: K.galois_group()
>>
>> ---------------------------------------------------------------------------
>>
>> NotImplementedError Traceback (most recent call last)
>>
>> [...]
>>
>> NotImplementedError: You must install the optional Kash package to use
>> Kash from Sage.
>>
>> Sorry, computation of Galois groups of fields of degree bigger than 11
>> is not yet implemented. Try installing the optional free (closed
>> source) KASH package, which supports degrees up to 23, or use
>> algorithm='magma' if you have magma.
>>
>> sage: optional_packages()[0]
>>
>> ['database_gap-4.6.4', 'gap_packages-4.6.4.p1', 'kash3-2008-07-31.p0']
>
> Did you check whether
>
> $ ./sage --kash
>
> and
>
> sage: from sage.interfaces.all import kash
>
> work?
>
> (And btw., which version of Sage are you using?)
>
>
> -leif
>
>
> P.S.:
>
> sage: K.galois_group('gap')
> Galois group Transitive group number 9 of degree 13 of the Number Field in a
> with defining polynomial x^13 + 3*x + 5
> sage: K.galois_group('pari')
> Galois group Transitive group number 9 of degree 13 of the Number Field in a
> with defining polynomial x^13 + 3*x + 5
> sage: G.<b> = K.galois_group()
> ---------------------------------------------------------------------------
> PariError Traceback (most recent call last)
>
> [...]
>
> $SAGE_ROOT/local/lib/python2.7/site-packages/sage/rings/number_field/splitting_field.py
> in splitting_field(poly, name, map, degree_multiple, abort_degree, simplify,
> simplify_all)
> 384 if m == 1:
> 385 continue
> --> 386 factors = Kpol.nffactor(splitting.pol)[0]
> 387 for q in factors:
> 388 d = q.poldegree()
>
> $SAGE_ROOT/local/lib/python2.7/site-packages/sage/libs/pari/gen.so in
> sage.libs.pari.gen.gen.nffactor (sage/libs/pari/gen.c:36272)()
>
> $SAGE_ROOT/local/lib/python2.7/site-packages/sage/libs/pari/handle_error.so
> in sage.libs.pari.handle_error._pari_handle_exception
> (sage/libs/pari/handle_error.c:1178)()
>
> PariError: precision too low in floorr (precision loss in truncation)
>
This last behaviour seems very strange to me.
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