D.2.5.4 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=d, 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