#13413: fix integer overflow (?) in conversion of powersums to Schur functions
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Reporter: saliola | Owner: sage-combinat
Type: defect | Status: new
Priority: major | Milestone: sage-5.13
Component: combinatorics | Resolution:
Keywords: symmetric functions | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by zabrocki):
This problem is much worse than originally stated. Mercedes Rosas
contacted me and said that they are getting strange answers for
calculations in the symmetric function package. I started to do some
experiments.
{{{
sage: s = SymmetricFunctions(QQ).s()
sage: p = SymmetricFunctions(QQ).p()
sage: %time s(p([1]*36))==sum(StandardTableaux(la).cardinality()*s(la) for
la in Partitions(36))
CPU times: user 91.50 s, sys: 0.26 s, total: 91.75 s
Wall time: 91.65 s
False
sage: s(p([1]*35))==sum(StandardTableaux(la).cardinality()*s(la) for la in
Partitions(35))
True
sage: s(p[2,2])
s[1, 1, 1, 1] - s[2, 1, 1] + 2*s[2, 2] - s[3, 1] + s[4]
}}}
The first statement should return `True` and the second and third are not
returning the clearly false coefficients that we are seeing when the
calculation goes as high as degree 47.
WARNING: calculations using the symmetric function package should not be
believed beyond a certain degree. I will continue to see what we can do
to track down this bug.
--
Ticket URL: <http://trac.sagemath.org/ticket/13413#comment:5>
Sage <http://www.sagemath.org>
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