Singular

7.7.18.0. LengthSym

Usage:

LengthSym(M); M an intmat

Return:

intvec

Purpose:

determine a vector, where the i-th element is the length of the permutation of S(n) given by the i-th row of M

Assume:

M represents a subset of S(n) (each row must be an element of S(n)); otherwise, the output may have no sense

LIB "qmatrix.lib";
def M = SymGroup(3); M;
==> 1,2,3,
==> 1,3,2,
==> 3,1,2,
==> 2,1,3,
==> 2,3,1,
==> 3,2,1 
LengthSym(M);
==> 0,1,2,1,2,3