|  |  5.1.145 sqrfree 
See
 factorize.Syntax:sqrfree (poly_expression)
 sqrfree (poly_expression, 0 )
 sqrfree (poly_expression, 2 )Type:list of ideal and intvec
Syntax:sqrfree (poly_expression, 1 )Type:ideal
Syntax:sqrfree (poly_expression, 3 )Type:poly
Purpose:computes the squarefree factors (as an ideal) of the polynomial
together with or without
the multiplicities (as an intvec) depending on the second argument:
|  |     0: returns factors and multiplicities, first factor is a constant.
       May also be written with only one argument.
    1: returns non-constant factors (no multiplicities).
    2: returns non-constant factors and multiplicities.
    3: returns the product of non-constant factors, i.e. squarefree part
 | 
Note:Not implemented for the coefficient fields real and finite fields of
type (p^n,a).Example:|  |   ring r=3,(x,y,z),dp;
  poly f=(x-y)^3*(x+z)*(y-z);
  sqrfree(f);
==> [1]:
==>    _[1]=1
==>    _[2]=-xy+xz-yz+z2
==>    _[3]=-x+y
==> [2]:
==>    1,1,3
  sqrfree(f,1);
==> _[1]=-xy+xz-yz+z2
==> _[2]=-x+y
  sqrfree(f,2);
==> [1]:
==>    _[1]=-xy+xz-yz+z2
==>    _[2]=-x+y
==> [2]:
==>    1,3
  sqrfree(f,3);
==> x2y-xy2-x2z-xyz-y2z-xz2+yz2
 | 
 |