Singular Manual: WSemigroup

| #### D.6.10.4 WSemigroup Procedure from library `curvepar.lib` (see curvepar_lib). Usage: WSemigroup(X,b0); X a list of polynomials in one variable, say t. b0 an integer Compute: Weierstrass semigroup of space curve C,which is given by a parametrization X[1](t),...,X[k](t), till the bound b0. Assume: b0 is greater then conductor Return: list M of size 5. M[1]= list of integers, which are minimal generators set of the Weierstrass semigroup. M[2]=integer, conductor of the Weierstrass semigroup. M[3]=intvec, all elements of the Weierstrass semigroup till some bound b, which is greater than conductor. Warning: works only over the ring with one variable with ordering ds Example:
    LIB "curvepar.lib";
    ring r=0,(t),ds;
    list X=t4,t5+t11,t9+2*t7;
    list L=WSemigroup(X,30);
    L;
    ==> [1]:
    ==>    4,5,7
    ==> [2]:
    ==>    7
    ==> [3]:
    ==>    4,5,7,8,9,10

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