Singular Manual: sparseid

| #### D.2.10.4 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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