Kannappan Sampath wrote:
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.
Replace the CPU?
(No idea. Probably upload the build log of the kash spkg somewhere,
such that the Darwinists can take a look at.)
I also don't know how to solve (or avoid) the precision error PARI
throws (once kash works).
-leif
On Apr 19, 2014, at 7:45 PM, leif <not.rea...@online.de
<mailto: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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