Singular Manual: MacdonaldF

| #### D.15.14.7 MacdonaldF Procedure from library `goettsche.lib` (see goettsche_lib). Usage: MacdonaldF(z, t, n, b); z, t polynomials, n integer, b list of non-negative integers Return: polynomial in z and t with integer coefficients Purpose: computes the Macdonalds's formula up to degree n in t Note: zero is returned if n<0 or b is not a list of non-negative integers Example:
    LIB "goettsche.lib";
    ring r=0, (t, z), ls;
    // consider the projective plane with Betti numbers 1,0,1,0,1
    list b=1,0,1,0,1;
    // get the Macdonald's formula up to degree 3
    print( MacdonaldF(z, t, 3, b) );
    ==> 1+t+tz2+tz4+t2+t2z2+2t2z4+t2z6+t2z8+t3+t3z2+2t3z4+2t3z6+2t3z8+t3z10+t3z12

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