Hi,
I tried running parts of the NumberField tutorial in the latest Mac
OSX build,
sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin
I have two problems running the tutorial 2.2.
(1) The first line says to define
x = PolynomialRing(QQ).gen()
This does not work:
---------------------------------------------------------------------------
<type 'exceptions.TypeError'> Traceback (most recent call
last)
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
<ipython console> in <module>()
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/rings/polynomial/
polynomial_ring_constructor.py in PolynomialRing(base_ring, arg1,
arg2, sparse, order, names, name)
221
222 if arg1 is None:
--> 223 raise TypeError, "You must specify the names of the
variables."
224
225 R = None
<type 'exceptions.TypeError'>: You must specify the names of the
variables.
The fix, from what I can tell, is to specify x =
PolynomialRing(QQ,x).gen()
(2) The fifth line has
K.galois_group()
This gives me an error, too. (Traceback at bottom.) If I read the
error correctly (and I may not) SAGE thinks that the optional GAP
package isn't installed, but in fact a gap package of some sort is in
the "installed" directory of "spkg". Running the tutorial 13.3.1 gives
no trouble at all. Exiting SAGE gives the message "Exiting spawned Gap
process."
Any ideas what's wrong?
thanks
john perry
---------------------------------------------------------------------------
<type 'exceptions.RuntimeError'> Traceback (most recent call
last)
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
<ipython console> in <module>()
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/rings/number_field/
number_field.py in galois_group(self, pari_group, use_kash)
607 Transitive group number 2 of degree 3
608 """
--> 609 return self.polynomial().galois_group(pari_group =
pari_group, use_kash = use_kash)
610
611
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/rings/polynomial/
polynomial_element_generic.py in galois_group(self, pari_group,
use_kash)
699 return H
700 else:
--> 701 return PermutationGroup(H)
702
703 def quo_rem(self, right):
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/groups/perm_gps/permgroup.py in
PermutationGroup(x, from_group, check)
161 """
162 if not is_ExpectElement(x) and hasattr(x, '_permgroup_'):
--> 163 return x._permgroup_()
164 return PermutationGroup_generic(x, from_group, check)
165
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/groups/pari_group.py in
permutation_group(self)
27 if self.__degree is None:
28 raise NotImplementedError
---> 29 return permgroup.TransitiveGroup(self.__degree,
self.__x[2])
30
31 _permgroup_ = permutation_group
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/groups/perm_gps/permgroup.py in
__init__(self, d, n)
1314 id = 'TransitiveGroup(%s,%s)'%(d,n)
1315 PermutationGroup_generic.__init__(self, id,
-> 1316 from_group=True,
check=False)
1317 self._d = d
1318 self._n = n
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/groups/perm_gps/permgroup.py in
__init__(self, gens, from_group, check)
184 if from_group and isinstance(gens, str):
185 self.__gap = gens
--> 186 self.gens() # so will check that group can be
defined in GAP (e.g., no missing packages, etc.)
187 return
188 if is_GapElement(gens):
/Users/jackperry/Desktop/sage-2.5.3-powerpc-osx-PowerMacintosh-Darwin/
local/lib/python2.5/site-packages/sage/groups/perm_gps/permgroup.py in
gens(self)
454 gens = self._gap_().GeneratorsOfGroup()
455 except TypeError, s:
--> 456 raise RuntimeError, "(It might be necessary to
install the database_gap optional SAGE package, if you haven't
already.)\n%s"%s
457 self.__gens =
tuple([PermutationGroupElement(gens[n],
458 self, check = False) for n
in \
<type 'exceptions.RuntimeError'>: (It might be necessary to install
the database_gap optional SAGE package, if you haven't already.)
Gap produced error output
Variable: 'TransitiveGroup' must have a value
executing $sage4:=TransitiveGroup(3,2);;
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