Experimental Data for the Flag Manifold Fl(1,2;5)
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Fl(1,2;5)
Fl(1,3;5)
Fl(2,3;5)
Fl(2,4;5)
Fl(3,4;5)
Fl(1,2,3;5)
Fl(1,2,4;5)
Fl(2,3,4;5)
Fl(1,2,3,4;5)
Problem
#
Necklaces
Iterations
Time
Computer
Data
(W
)
2
(X
)
5
5
3
25000
1.95 hr.
rcf1537-8
Data
W
W
(X
)
4
3
3
25000
11.42 hr.
Rota
Data
(W
)
3
(X
)
4
3
4
10000
50.56 min.
Pieri
Data
(W
)
2
(X
)
3
X
3
6
10000
5.01 hr.
Rota
Data
W
W
(X
)
2
X
2
6
10000
21.53 min.
Schur
Data
(W
)
3
(X
)
2
X
2
6
25000
51.94 min.
Schur
Data
(W
)
2
X
(X
)
2
2
4
25000
43.63 min.
Schur
Data
(W
)
2
(X
)
3
X
2
6
10000
20.63 min.
Schur
Data
(W
)
2
(X
)
2
X
2
4
10000
16.12 min.
Schur
Data
A
32
W
(X
)
3
2
2
25000
37.06 min.
Schur
Total time of computation: 88 237.65 GHz-seconds or 1.02 GHz-days
710 000 Polynomial systems solved on the flag manifold Fl(1,2;5).
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This Maple Script
Created: Fri Jul 15 15:27:37 CDT 2005