#5618: Cyclotomic field elements are not convert to Gap correctly.
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Reporter: saliola | Owner: tbd
Type: defect | Status: new
Priority: major | Milestone: sage-3.4.1
Component: algebra | Keywords:
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Although this works:
{{{
sage: K = CyclotomicField(3)
sage: z = K.an_element(); z
zeta3
sage: gap(z)
zeta3
}}}
the resulting gap element doesn't have the correct properties:
{{{
sage: K(gap.E(3)) == z # Good!
True
sage: gap(K(gap.E(3))) == gap.E(3) # Bad!
False
}}}
This causes the following problem with group characters.
{{{
sage: H = AlternatingGroup(4)
sage: g = H.list()[1]
sage: K = H.subgroup([g])
sage: z = CyclotomicField(3).an_element(); z
sage: c = K.character([1,z,z**2])
...
RuntimeError: Gap produced error output
Error, no 1st choice method found for `CONDUCTOR' on 1 arguments
}}}
Note: the above works if one takes z = gap.E(3).
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5618>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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