Using Sage 7.6 on Ubuntu 16.04.
S = GF(2^4, 'a')
a = S.gen()
G = SL(2, S)
g1 = G([a**2, a**3 + a**2 + a, a + 1, 0])
g2 = G([a, 0, 0, a**3 + 1])
# prints True True
print g1 in G, g2 in G
# Throws a ValueError
print g1 * g2
Here's the exception:
---------------------------------------------------------------------------ValueError
Traceback (most recent call
last)<ipython-input-6-edd79a6f0ddd> in <module>()----> 1 print g1 * g2
/usr/local/sagemath/src/sage/structure/sage_object.pyx in
sage.structure.sage_object.SageObject.__repr__
(/usr/local/sagemath/src/build/cythonized/sage/structure/sage_object.c:2694)()
190 return str(type(self)) 191 else:--> 192
result = repr_func() 193 if isinstance(result, unicode): 194
# Py3 compatibility: allow _repr_ to return unicode
/usr/local/sagemath/src/sage/groups/matrix_gps/group_element.pyx in
sage.groups.matrix_gps.group_element.MatrixGroupElement_gap._repr_
(/usr/local/sagemath/src/build/cythonized/sage/groups/matrix_gps/group_element.c:6695)()
490 '[1 1]\n[0 1]' 491 """--> 492 return
str(self.matrix()) 493 494 def _latex_(self):
/usr/local/sagemath/src/sage/misc/cachefunc.pyx in
sage.misc.cachefunc.CachedMethodCallerNoArgs.__call__
(/usr/local/sagemath/src/build/cythonized/sage/misc/cachefunc.c:13453)() 2399
if self.cache is None: 2400 f = self.f-> 2401
self.cache = f(self._instance) 2402 return self.cache 2403
/usr/local/sagemath/src/sage/groups/matrix_gps/group_element.pyx in
sage.groups.matrix_gps.group_element.MatrixGroupElement_gap.matrix
(/usr/local/sagemath/src/build/cythonized/sage/groups/matrix_gps/group_element.c:7755)()
585 MS = self.parent().matrix_space() 586 ring =
MS.base_ring()--> 587 m = MS([x.sage(ring=ring) for x in entries])
588 m.set_immutable() 589 return m
/usr/local/sagemath/src/sage/libs/gap/element.pyx in
sage.libs.gap.element.GapElement_FiniteField.sage
(/usr/local/sagemath/src/build/cythonized/sage/libs/gap/element.c:12693)()
1384 field = self.DefaultField() 1385 if
field.Size().sage() != ring.cardinality():-> 1386 raise
ValueError('the given finite field has incompatible size') 1387
root = self.DefaultField().PrimitiveRoot() 1388 exp =
self.LogFFE(root)
ValueError: the given finite field has incompatible size
Has anyone else encountered this?
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