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7.7.12.0. 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:
Implements the new algorithm by A. Heinle and V. Levandovskyy, see the thesis of A. Heinle

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]:
==>       s2+1
==>    [3]:
==>       s
==>    [4]:
==>       x-1
==> [2]:
==>    [1]:
==>       1
==>    [2]:
==>       s
==>    [3]:
==>       s2+1
==>    [4]:
==>       x-1
==> [3]:
==>    [1]:
==>       1
==>    [2]:
==>       s2+1
==>    [3]:
==>       x
==>    [4]:
==>       s
See also: facFirstWeyl; facSubWeyl; testNCfac.


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