Singular Manual: facFirstShift

| ##### 7.5.12.0. facFirstShift Procedure from library `ncfactor.lib` (see ncfactor_lib). 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. Example:
    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
See also: facFirstWeyl; facSubWeyl; testNCfac.

User manual for Singular version 4.4.1, 2025, generated by texi2html.