#13413: fix integer overflow (?) in conversion of powersums to Schur functions
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Reporter: saliola | Owner: sage-
Type: defect | combinat
Priority: critical | Status:
Component: combinatorics | needs_review
Keywords: symmetric functions, | Milestone: sage-5.13
symmetrica, memleak | Resolution:
Authors: Jeroen Demeyer | Merged in:
Report Upstream: Reported upstream. No | Reviewers:
feedback yet. | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by jdemeyer):
I get
{{{
jdemeyer@boxen:/release/merger/sage-5.12$ ./sage
┌────────────────────────────────────────────────────────────────────┐
│ Sage Version 5.12, Release Date: 2013-10-07 │
│ Type "notebook()" for the browser-based notebook interface. │
│ Type "help()" for help. │
└────────────────────────────────────────────────────────────────────┘
sage: s = SymmetricFunctions(QQ).s()
sage: p = SymmetricFunctions(QQ).p()
sage: g = s(p([1]*47))
sage: g.coefficient([9,8,7,6,5,4,3,2,2,1])
14333651730948448927581696000
sage: StandardTableaux([9,8,7,6,5,4,3,2,2,1]).cardinality()
14333651730948448927581696000
sage: g = s(p([1]*55))
sage: g.coefficient([10,9,8,7,6,5,4,3,2,1])
44261486084874072183645699204710400
sage: StandardTableaux([10,9,8,7,6,5,4,3,2,1]).cardinality()
44261486084874072183645699204710400
sage: s(p[2,2])
s[1, 1, 1, 1] - s[2, 1, 1] + 2*s[2, 2] - s[3, 1] + s[4]
sage: g = s(p([1]*61))
sage: g.coefficient([10,9,8,7,6,5,5,4,3,2,1,1])
5801010788714895536587439870454056838000
sage: StandardTableaux([10,9,8,7,6,5,5,4,3,2,1,1]).cardinality()
5801010788714895536587439870454056838000
sage: s(p[2,2])
s[1, 1, 1, 1] - s[2, 1, 1] + 2*s[2, 2] - s[3, 1] + s[4]
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/13413#comment:44>
Sage <http://www.sagemath.org>
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