#15817: Bug in computation of moliens series
-------------------------+-------------------------------------------------
Reporter: | Owner:
nborie | Status: needs_review
Type: | Milestone: sage-6.4
defect | Resolution:
Priority: | Merged in:
critical | Reviewers:
Component: group | Work issues:
theory | Commit:
Keywords: | 6149bbdc55692816d9df2308d0c02d2028f3a37f
moliens series | Stopgaps:
Authors: |
Frédéric Chapoton |
Report Upstream: N/A |
Branch: |
u/chapoton/15817 |
Dependencies: |
-------------------------+-------------------------------------------------
Comment (by nborie):
Hello,
I am terribly sorry but I REALLY NEED more sage days to review that. For
the math review, I am OK with the fix but my computer is in a state
(severals gcc version in concurrence...) in which I do not manage to build
sage from source. I manage to upgrade a Sage 6.2.beta7 to Sage 6.3 but a
git trac checkout 15817 make this upgrade broken... I need to visit
Florent and Nicolas to get help with git and sage (or perhaps I need to
reinstall a clear Linux system...). Sorry.
Here is 3 typical tests (quotient of Moliens series by the Hilbert series
of the ring of symmetric polynomials) which I engage myself to be true
math results :
{{{
sage: load("invariants.py")
sage: G = PermutationGroup([[(1,2,3)], [(5,6)]])
sage: secondary_enumeration_polynomial(G)
q^14 + 2*q^13 + 4*q^12 + 7*q^11 + 10*q^10 + 13*q^9 + 15*q^8 + 16*q^7 +
15*q^6 + 13*q^5 + 10*q^4 + 7*q^3 + 4*q^2 + 2*q + 1
sage: G = PermutationGroup([[(1,2,3)], [(2,3,4)], [(5,6)]])
sage: secondary_enumeration_polynomial(G)
q^14 + q^13 + 2*q^12 + 2*q^11 + 3*q^10 + 2*q^9 + 3*q^8 + 2*q^7 + 3*q^6 +
2*q^5 + 3*q^4 + 2*q^3 + 2*q^2 + q + 1
sage: G = PermutationGroup([[(5,)]])
sage: secondary_enumeration_polynomial(G)
q^10 + 4*q^9 + 9*q^8 + 15*q^7 + 20*q^6 + 22*q^5 + 20*q^4 + 15*q^3 + 9*q^2
+ 4*q + 1
}}}
I will stay around but if someone can REALLY try the branch on a working
sage install, it will be better.
--
Ticket URL: <http://trac.sagemath.org/ticket/15817#comment:9>
Sage <http://www.sagemath.org>
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