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

Incidence matrix

12 |  2 1  2  2  2 | 1  3  3  3 2 2 2 | 1 1 1 3 3
---+---------------+------------------+----------
 2 | 12 *  *  *  * | 1  1  1  1 1 0 0 | 1 1 1 1 1  ab x
 2 |  * 6  *  *  * | 0  0  0  0 2 2 0 | 0 0 1 0 3  ag x
 2 |  * * 12  *  * | 0  2  0  0 0 1 0 | 1 0 0 0 2  ae q
 2 |  * *  * 12  * | 0  0  2  0 0 0 1 | 0 0 1 2 0  ah q
 2 |  * *  *  * 12 | 0  0  0  2 0 0 1 | 0 1 0 2 0  ak h
---+---------------+------------------+----------
 3 |  3 0  0  0  0 | 4  *  *  * * * * | 1 1 0 0 0  abc xxx = verf(tet)
 3 |  1 0  2  0  0 | * 12  *  * * * * | 1 0 0 0 1  abf xqq = verf(trip)
 3 |  1 0  0  2  0 | *  * 12  * * * * | 0 0 1 1 0  abi xqq = verf(trip)
 3 |  1 0  0  0  2 | *  *  * 12 * * * | 0 1 0 1 0  abl xhh = verf(tut)
 4 |  2 2  0  0  0 | *  *  *  * 6 * * | 0 0 1 0 1  abgh xxxx = verf(oct)
 4 |  0 2  2  0  0 | *  *  *  * * 6 * | 0 0 0 0 2  aekg xqxq = verf(co)
 4 |  0 0  0  2  2 | *  *  *  * * * 6 | 0 0 0 2 0  ahdk qh(-q)h = verf(cho)
---+---------------+------------------+----------
 6 |  6 0  6  0  0 | 2  6  0  0 0 0 0 | 2 * * * *  abcdef verf(firp)
 6 |  6 0  0  0  6 | 2  0  0  6 0 0 0 | * 2 * * *  abcjkl verf(firt)
 6 |  6 3  0  6  0 | 0  0  6  0 3 0 0 | * * 2 * *  abcghi verf(pinnip)
 6 |  2 0  0  4  4 | 0  0  2  2 0 0 2 | * * * 6 *  abdeil verf(sirdop)
 6 |  2 3  4  0  0 | 0  2  0  0 1 2 0 | * * * * 6  abfghl verf(srip)