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a     b                  g     h
  c                        i    
                                
d     e                  j     k
  f                        l    

Incidence matrix

12 |  2  2  2  2 | 1  3  3  6 2 2 | 1 1 3  5
---+-------------+----------------+---------
 2 | 12  *  *  * | 1  1  1  0 1 0 | 1 1 0  2  ab x
 2 |  * 12  *  * | 0  2  0  2 0 0 | 1 0 1  2  ae q
 2 |  *  * 12  * | 0  0  2  2 0 1 | 0 1 2  2  ah q
 2 |  *  *  * 12 | 0  0  0  2 1 1 | 0 0 2  2  ak h
---+-------------+----------------+---------
 3 |  3  0  0  0 | 4  *  *  * * * | 1 1 0  0  abc xxx = verf(tet)
 3 |  1  2  0  0 | * 12  *  * * * | 1 0 0  1  abf xqq = verf(trip)
 3 |  1  0  2  0 | *  * 12  * * * | 0 1 0  1  abi xqq = verf(trip)
 3 |  0  1  1  1 | *  *  * 24 * * | 0 0 1  1  aeh qqh = verf(hip)
 4 |  2  0  0  2 | *  *  *  * 6 * | 0 0 0  2  abjkxh(-x)h = verf(oho)
 4 |  0  0  2  2 | *  *  *  * * 6 | 0 0 2  0  adhk qh(-q)h = verf(cho)
---+-------------+----------------+---------
 6 |  6  6  0  0 | 2  6  0  0 0 0 | 2 * *  *  abcdef verf(firp)
 6 |  6  0  6  0 | 2  0  6  0 0 0 | * 2 *  *  abcghi verf(firp)
 6 |  0  2  4  4 | 0  0  0  4 0 2 | * * 6  *  abdeil verf(garpop)
 5 |  2  2  2  2 | 2  1  1  2 1 0 | * * * 12  abfjk verf(ohope)