Singular Manual: ivSickleDim

| ##### 7.7.7.0. ivSickleDim Procedure from library `fpadim.lib` (see fpadim_lib). Usage: ivSickleDim(L,n[,degbound]); L a list of intmats, n an integer, degbound an optional integer Return: list Purpose: Computing mistletoes and the K-dimension Assume: - basering is a Letterplace ring. - all rows of each intmat correspond to a Letterplace monomial as explained in the overview - if you specify a different degree bound degbound, degbound <= attrib(basering,uptodeg) should hold. Note: - If L is the list returned, then L[1] is an integer, L[2] is a list, containing the mistletoes as intvecs. - If degbound is set, a degree bound will be added. By default there is no degree bound. - n is the number of variables. - If the K-dimension is known to be infinite, a degree bound is needed Example:
    LIB "fpadim.lib";
    ring r = 0,(x,y),dp;
    def R = makeLetterplaceRing(5); // constructs a Letterplace ring
    setring R; // sets basering to Letterplace ring
    //some intmats, which contain monomials in intvec representation as rows
    intmat I1 [2][2] = 1,1,2,2; intmat I2 [1][3]  = 1,2,1;
    intmat J1 [1][2] =  1,1; intmat J2 [2][3] = 2,1,2,1,2,1;
    print(I1);
    ==>      1     1
    ==>      2     2
    print(I2);
    ==>      1     2     1
    print(J1);
    ==>      1     1
    print(J2);
    ==>      2     1     2
    ==>      1     2     1
    list G = I1,I2;// ideal, which is already a Groebner basis
    list I =  J1,J2; // ideal, which is already a Groebner basis
    ivSickleDim(G,2); // invokes the procedure without any degree bound
    ==> [1]:
    ==>    6
    ==> [2]:
    ==>    [1]:
    ==>       1,2
    ==>    [2]:
    ==>       2,1,2
    ivSickleDim(I,2,5); // invokes the procedure with degree bound 5
    ==> [1]:
    ==>    17
    ==> [2]:
    ==>    [1]:
    ==>       1,2,2,1
    ==>    [2]:
    ==>       1,2,2,2,1
    ==>    [3]:
    ==>       1,2,2,2,2
    ==>    [4]:
    ==>       2,1
    ==>    [5]:
    ==>       2,2,1
    ==>    [6]:
    ==>       2,2,2,1
    ==>    [7]:
    ==>       2,2,2,2,1
    ==>    [8]:
    ==>       2,2,2,2,2

User manual for Singular version 4-1-0p2, 2017, generated by texi2html.