The code
n=2; x=simplicial_complexes.RealProjectiveSpace(n);
fcts=x.facets(); out=file('P'+str(n)+'.txt','w');
for a in fcts: out.write(str(a)+'\n')
out.close();
writes a nice result in the file P2.txt:
(0, 2, 3)
(0, 3, 4)
(0, 1, 5)
(0, 4, 5)
(2, 3, 5)
(1, 2, 4)
(0, 1, 2)
(1, 3, 4)
(1, 3, 5)
(2, 4, 5)
This works for $n=1,\ldots,4$. However, for $n=5$, the file contains
((1, 5, 6), (1, 6), (1, 3, 5, 6), (6,), (2,), (2, 4))
((1, 2, 4, 6), (5,), (1, 4), (3, 5), (4,), (1, 4, 6))
((3, 4, 6), (1, 3, 4, 5, 6), (4, 6), (1, 3, 4, 6), (6,), (2,))
((1, 5, 6), (1, 2, 3, 4, 5, 6), (1, 3, 5, 6), (1,), (1, 5), (1, 3, 4, 5, 6))
((1, 6), (1, 3, 5, 6), (1,), (1, 2, 3, 5, 6), (1, 3, 6), (4,))
((1, 2), (3,), (3, 5, 6), (1, 2, 4), (3, 5), (2,))
((1, 2), (1,), (3,), (3, 6), (1, 2, 4), (1, 2, 4, 5))
((1, 2), (1,), (1, 2, 3, 6), (4, 5), (1, 2, 6), (4,))
((2, 3, 4), (2, 3, 4, 5), (1, 2, 3, 4, 5), (2, 3), (6,), (2,))
((1, 3, 4, 5), (1, 3, 4, 5, 6), (5,), (3, 5), (2,), (3, 4, 5))
...
What am I doing wrong here? Why don't I get a list of 5-dimensional simplices? I would like to obtain only the facets of the first 10 projective spaces.
