Singular

7.7.14.0. facFirstShift

Usage:

facFirstShift(h); h a polynomial in the first shift algebra

Return:

list

Purpose:

compute all factorizations of a polynomial in the first shift algebra

Theory:

This function is a wrapper for facShift. It exists to make this library downward-compatible with older versions.

Assume:

basering is the first shift algebra

Note:

Every entry of the output list is a list with factors for one possible factorization.

LIB "ncfactor.lib";
ring R = 0,(x,s),dp;
def r = nc_algebra(1,s);
setring(r);
poly h = (s^2*x+x)*s;
facFirstShift(h);
==> [1]:
==>    [1]:
==> 1
==>    [2]:
==>       s
==>    [3]:
==>       s2+1
==>    [4]:
==>       x-1
==> [2]:
==>    [1]:
==> 1
==>    [2]:
==>       s2+1
==>    [3]:
==>       s
==>    [4]:
==>       x-1
==> [3]:
==>    [1]:
==> 1
==>    [2]:
==>       s2+1
==>    [3]:
==>       x
==>    [4]:
==>       s