Singular Manual: getRelations

| #### D.8.7.3 getRelations Procedure from library `recover.lib` (see recover_lib). Usage: getRelations(p,D,C); list p, int D, bigint C Return: list K: a list of ideals; the ideals contain homogeneous polynomial relations of degree <=D between the components of the point p Note: This procedure uses only the images of the one point p under the Veronese embeddings to find homogeneous polynomial relations. Example:
    LIB "recover.lib";
    ring r=(complex,50),(x,y,z),dp;
    list p=1,-1,0.5;
    getRelations(p,2,10000);
    ==> [1]:
    ==>    _[1]=x+y
    ==>    _[2]=x-2*z
    ==> [2]:
    ==>    _[1]=xz+yz
    ==>    _[2]=xy+y2
    ==>    _[3]=x2-y2
    ==>    _[4]=-xy-xz+yz
    ==>    _[5]=-xz+2*z2
See also: getRelationsRadical.

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