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D.2.9.4 sparseid
Procedure from library random.lib (see random_lib).
- Usage:
- sparseid(k,u[,o,p,b]); k,u,o,p,b integers
- Return:
- ideal having k generators, each of degree d, u<=d<=o, p percent of
terms in degree d are 0, the remaining have random coefficients
in the interval [1,b], (default: o=u, p=75, b=30000)
Example:
| | LIB "random.lib";
ring r = 0,(a,b,c,d),ds;
sparseid(2,3);"";
==> _[1]=12773a3+24263a2c+20030abc+17904b2c+26359c3
==> _[2]=24004a3+6204b2c+24170bc2+19505c2d+21962bd2
==>
sparseid(3,0,4,90,9);
==> _[1]=1+4a2+8b2c+3c3+4a3b+4a2b2+5abc2+3ac3
==> _[2]=a+a2+7ab2+6a2c+3c3+5a3b+9ab3+2c4+3c3d+8ad3
==> _[3]=5a+ab+2ac2+2b3c+8abcd
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