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D.6.13.4 bernstein

Procedure from library gmssing.lib (see gmssing_lib).

Usage:
bernstein(t); poly t

Assume:
characteristic 0; local degree ordering;
isolated critical point 0 of t

Return:
 
list bs;  Bernstein-Sato polynomial b(s) of t
  ideal bs[1];
    number bs[1][i];  i-th root of b(s)
  intvec bs[2];
    int bs[2][i];  multiplicity of i-th root of b(s)

Example:
 
LIB "gmssing.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
bernstein(t);
==> [1]:
==>    _[1]=-13/10
==>    _[2]=-11/10
==>    _[3]=-1
==>    _[4]=-9/10
==>    _[5]=-7/10
==>    _[6]=-1/2
==> [2]:
==>    1,1,2,1,1,2