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D.6.4.10 singularity
Procedure from library classify.lib (see classify_lib).
- Usage:
- singularity(t, l); t=string (name of singularity),
l=list of integers/polynomials (indices/parameters of singularity)
- Compute:
- get the singularity named by type t from the database.
list l is as follows:
l= k [,r [,s [,a [,b [,c [,d]..]: k,r,s=int a,b,c,d=poly.
The name of the dbm-databasefile is: NFlist.[dir,pag].
The file is found in the current directory. If it does not
exist, please run the script MakeDBM first.
- Return:
- Normal form and corank of the singularity named by type t and its
index (indices) l.
Example:
| LIB "classify.lib";
ring r=0,(x,y,z),(c,ds);
init_debug(0);
singularity("E[6k]",6);
==> [1]:
==> x3+xy13+y19
==> [2]:
==> 2
singularity("T[k,r,s]", 3, 7, 5);
==> [1]:
==> x3+xyz+z5+y7
==> [2]:
==> 3
poly f=y;
singularity("J[k,r]", 4, 0, 0, f);
==> [1]:
==> x3+x2y4+y13
==> [2]:
==> 2
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