************************
   7
****** 1 in ith place if ith factor is in, else 0.  1  0  0
   2  12  0
    0.2500    0.2500    0.2500    0.2500    0.0000    0.0000    0.0000    0.0000   -0.2500   -0.2500
   -0.2500   -0.2500
    0.0000    0.0000    0.0000    0.0000    0.2500    0.2500    0.2500    0.2500   -0.2500   -0.2500
   -0.2500   -0.2500
****** 1 in ith place if ith factor is in, else 0.  0  1  0
   1  12  0
    0.1667    0.1667   -0.1667   -0.1667    0.1667    0.1667   -0.1667   -0.1667    0.1667    0.1667
   -0.1667   -0.1667
****** 1 in ith place if ith factor is in, else 0.  0  0  1
   1  12  0
    0.1667   -0.1667    0.1667   -0.1667    0.1667   -0.1667    0.1667   -0.1667    0.1667   -0.1667
    0.1667   -0.1667
****** 1 in ith place if ith factor is in, else 0.  1  1  0
   2  12  0
    0.5000    0.5000   -0.5000   -0.5000    0.0000    0.0000    0.0000    0.0000   -0.5000   -0.5000
    0.5000    0.5000
    0.0000    0.0000    0.0000    0.0000    0.5000    0.5000   -0.5000   -0.5000   -0.5000   -0.5000
    0.5000    0.5000
****** 1 in ith place if ith factor is in, else 0.  1  0  1
   2  12  0
    0.5000   -0.5000    0.5000   -0.5000    0.0000    0.0000    0.0000    0.0000   -0.5000    0.5000
   -0.5000    0.5000
    0.0000    0.0000    0.0000    0.0000    0.5000   -0.5000    0.5000   -0.5000   -0.5000    0.5000
   -0.5000    0.5000
****** 1 in ith place if ith factor is in, else 0.  0  1  1
   1  12  0
    0.3333   -0.3333   -0.3333    0.3333    0.3333   -0.3333   -0.3333    0.3333    0.3333   -0.3333
   -0.3333    0.3333
****** 1 in ith place if ith factor is in, else 0.  1  1  1
   2  12  0
    1.0000   -1.0000   -1.0000    1.0000    0.0000    0.0000    0.0000    0.0000   -1.0000    1.0000
    1.0000   -1.0000
    0.0000    0.0000    0.0000    0.0000    1.0000   -1.0000   -1.0000    1.0000   -1.0000    1.0000
    1.0000   -1.0000