On 2014-04-19, Kannappan Sampath <kntri...@gmail.com> wrote: > Hello sage-devel: > > 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)
this is not a normal extension, and apparently neither Pari nor GAP can deal with it. Pathetic... Is it really so hard to implement, having the library of permutation groups at hand (from GAP)? > ><ipython-input-6-53b0dca27e76> in <module>() > > ----> 1 K.galois_group() > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/misc/cachefunc.soin > sage.misc.cachefunc.CachedMethodCaller.__call__ > (sage/misc/cachefunc.c:8679)() > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/misc/cachefunc.soin > sage.misc.cachefunc.CachedMethod._instance_call > (sage/misc/cachefunc.c:11344)() > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyin > galois_group(self, type, algorithm, names) > > * 4404* > > * 4405* if type is None: > > -> 4406 return GaloisGroup_v2(self, names) > > * 4407* > > * 4408* elif type=="pari": > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/rings/number_field/galois_group.pyin > __init__(self, number_field, names) > > * 181* self._number_field = number_field > > * 182* > > --> 183 if not number_field.is_galois(): > > * 184* self._galois_closure, self._gc_map = number_field. > galois_closure(names=names, map=True) > > * 185* else: > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyin > is_galois(self) > > * 4304* False > > * 4305* """ > > -> 4306 return self.galois_group(type="pari").order() == self.degree > () > > * 4307* > > * 4308* @cached_method > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/misc/cachefunc.soin > sage.misc.cachefunc.CachedMethodCaller.__call__ > (sage/misc/cachefunc.c:8679)() > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/misc/cachefunc.soin > sage.misc.cachefunc.CachedMethod._instance_call > (sage/misc/cachefunc.c:11344)() > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.pyin > galois_group(self, type, algorithm, names) > > * 4407* > > * 4408* elif type=="pari": > > -> 4409 return GaloisGroup_v1(self.absolute_polynomial(). > galois_group(pari_group=True, algorithm=algorithm), self) > > * 4410* elif type=="gap": > > * 4411* return GaloisGroup_v1(self.absolute_polynomial(). > galois_group(pari_group=False, algorithm=algorithm), self) > > > /Users/apple/sage/local/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_rational_flint.soin > sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint.galois_group > (sage/rings/polynomial/polynomial_rational_flint.cpp:13140)() > > > 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'] > > > Hope you can show me a way out! > > > With Sincere Regards, > > Kannappan. > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
