Singular Manual: gen

  | ### 5.1.49 gen `Syntax:` `gen (` int_expression `)` `Type:` vector `Purpose:` returns the i-th free generator of a free module. `Example:`
        ring r=32003,(x,y,z),(c,dp);
        gen(3);
      ==> [0,0,1]
        vector v=gen(5);
        poly f=xyz;
        v=v+f*gen(4); v;
      ==> [0,0,0,xyz,1]
        ring rr=32003,(x,y,z),dp;
        fetch(r,v);
      ==> xyz*gen(4)+gen(5)
See freemodule; int; vector.

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