
The Cayley Table for Z_5

       0  1  2  3  4
    ----------------
  0 |  0  1  2  3  4
  1 |  1  2  3  4  0
  2 |  2  3  4  0  1
  3 |  3  4  0  1  2
  4 |  4  0  1  2  3

Incompletable partial transversals
----------------------------------

Each partial transversal of length 3 which is incompletable is given below.
For example, 0*2***8** corresponds to the partial transversal with cells
at (0,0), (2,2), and (6,8).

014**
034**
02*3*
02*4*
01**2
03**4
0*13*
0*24*
0*1*3
0*2*3
0**12
0**14

Number of incompletable partial transversals including (0,0,0): 12


Completions of completable partial transversals
-----------------------------------------------

Each partial transversal of length 3 which is completable is given below.
For example, 0*2***8** corresponds to the partial transversal with cells
at (0,0), (2,2), and (6,8).

After each partial transversal should be two permutations. The first
correponds to the cell locations for a completion of the partial transversal.
The second contains the symbols in each cell of the completion.

012** --- 01234 --- 02413
024** --- 02413 --- 03142
031** --- 03142 --- 04321
01*3* --- 01234 --- 02413
02*1* --- 02413 --- 03142
03*4* --- 03142 --- 04321
01**4 --- 01234 --- 02413
02**3 --- 02413 --- 03142
03**2 --- 03142 --- 04321
0*14* --- 03142 --- 04321
0*23* --- 01234 --- 02413
0*41* --- 02413 --- 03142
0*1*2 --- 03142 --- 04321
0*2*4 --- 01234 --- 02413
0*4*3 --- 02413 --- 03142
0**13 --- 02413 --- 03142
0**34 --- 01234 --- 02413
0**42 --- 03142 --- 04321

