Singular Manual: orbitCones

| #### D.13.3.5 orbitCones Procedure from library `gitfan.lib` (see gitfan_lib). Usage: orbitCones(AF, Q[, d]); AF: list of intvecs, Q: intmat, d: int Purpose: Returns the list consisting of all cones Q(gam0) where gam0 in AF. If the optional argument d is given then the function returns only the orbit cones of dimension at least d Return: a list of cones Example:
    LIB "gitfan.lib";
    ring R = 0,T(1..10),wp(1,1,1,1,1,1,1,1,1,1);
    ideal J =
    T(5)*T(10)-T(6)*T(9)+T(7)*T(8),
    T(1)*T(9)-T(2)*T(7)+T(4)*T(5),
    T(1)*T(8)-T(2)*T(6)+T(3)*T(5),
    T(1)*T(10)-T(3)*T(7)+T(4)*T(6),
    T(2)*T(10)-T(3)*T(9)+T(4)*T(8);
    intmat Q[5][10] =
    1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
    1, 0, 0, 0, 1, 1, 1, 0, 0, 0,
    0, 1, 1, 0, 0, 0, -1, 1, 0, 0,
    0, 1, 0, 1, 0, -1, 0, 0, 1, 0,
    0, 0, 1, 1, -1, 0, 0, 0, 0, 1;
    list AF= afaces(J);
    print(size(AF));
    ==> 172
    list OC = orbitCones(AF,Q);
    size(OC);
    ==> 172

User manual for Singular version 4.4.1, 2025, generated by texi2html.