|  |  D.6.2.1 nashmult Procedure from libraryarcpoint.lib(see  arcpoint_lib).
 
Example:Usage:
nashmult(f,bound); f polynomial, bound positive integer
Create:
allsteps:
setstep:|  |          a list containing all relevant locally closed sets
         up to order <bound> and their sequences of
         Nash Multiplicities
 | 
 |  |          list of relevant locally closed sets
         obtained from sequences of length bound+1
 | 
 
Return:
ring, original basering with additional
variables t and coefficients up to t^<bound>
 
 |  | LIB "arcpoint.lib";
ring r=0,(x,y,z),dp;
poly f=z4+y3-x2;
def R=nashmult(f,2);
setring R;
allsteps;
==> [1]:
==>    [1]:
==>       [1]:
==>          2,2
==>       [2]:
==>          _[1]=a(1)
==>          _[2]=b(1)
==>       [3]:
==>          _[1]=1
==> [2]:
==>    [1]:
==>       [1]:
==>          2,2,1
==>       [2]:
==>          _[1]=a(1)
==>          _[2]=b(1)
==>          _[3]=c(1)^4-a(2)^2
==>       [3]:
==>          _[1]=a(1)
==>          _[2]=b(1)
==>          _[3]=c(1)
==>          _[4]=a(2)
==>    [2]:
==>       [1]:
==>          2,2,2
==>       [2]:
==>          _[1]=a(1)
==>          _[2]=b(1)
==>          _[3]=c(1)
==>          _[4]=a(2)
==>       [3]:
==>          _[1]=1
 | 
 
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