On Sat, Apr 19, 2014 at 5:17 PM, Amit Jamadagni <bitsjamada...@gmail.com>wrote:
> Hello Sampath,
> I have tried to install kash and here are the results I get by
> passing in the commands you have passed
>
> sage: K.<a> = NumberField(x^13 + 3*x + 5)
> sage: K.galois_group()
> ---------------------------------------------------------------------------
> TypeError Traceback (most recent call last)
> <ipython-input-15-53b0dca27e76> in <module>()
> ----> 1 K.galois_group()
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/misc/cachefunc.so
> in sage.misc.cachefunc.CachedMethodCaller.__call__
> (sage/misc/cachefunc.c:8248)()
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/misc/cachefunc.so
> in sage.misc.cachefunc.CachedMethod._instance_call
> (sage/misc/cachefunc.c:10738)()
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py
> in galois_group(self, type, algorithm, names)
> 4403
> 4404 if type is None:
> -> 4405 return GaloisGroup_v2(self, names)
> 4406
> 4407 elif type=="pari":
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/rings/number_field/galois_group.py
> in __init__(self, number_field, names)
> 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:
> 186 self._galois_closure, self._gc_map = (number_field,
> number_field.hom(number_field.gen(), number_field))
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py
> in galois_closure(self, names, map)
> 6836 Defn: a |--> 1/240*cc^5 - 41/120*cc
> 6837 """
> -> 6838 L, self_into_L = self._galois_closure_and_embedding(names)
> 6839 if map:
> 6840 return (L, self_into_L)
>
> /home/amit/Documents/sage-6.1.1-x86_64-Linux/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py
> in _galois_closure_and_embedding(self, names)
> 6753 """
> 6754 if names is None:
> -> 6755 raise TypeError("You must specify the name of the
> generator.")
> 6756
> 6757 try:
>
> TypeError: You must specify the name of the generator.
>
>
Can you try G.<b> = K.galois_group() instead? I do not see why my
installation does not see that Kash is installed,
> 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: 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
>
> I guess passing the type might give the answer.
>
>
>
> On Sat, Apr 19, 2014 at 4:16 PM, 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)
>>
>> <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.
>>
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>
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