Incidence matrix
6 * | 4 1 2 2 0 | 2 4 4 4 1 0 | 4 2 2 0 a
* 4 | 0 0 3 3 3 | 0 3 3 3 3 3 | 3 3 1 1 g
----+--------------+----------------+--------
2 0 | 12 * * * * | 1 1 1 0 0 0 | 1 1 1 0 ab x
2 0 | * 3 * * * | 0 0 0 4 0 0 | 4 0 0 0 af q
1 1 | * * 12 * * | 0 2 0 1 0 0 | 2 0 1 0 ag x
1 1 | * * * 12 * | 0 0 2 1 1 0 | 2 2 0 0 ai q
0 2 | * * * * 6 | 0 0 0 0 1 2 | 0 2 0 1 gh x
----+--------------+----------------+--------
3 0 | 3 0 0 0 0 | 4 * * * * * | 0 1 1 0 abc xxx = verf(tet)
2 1 | 1 0 2 0 0 | * 12 * * * * | 1 0 1 0 abg xxx = verf(tet)
2 1 | 1 0 0 2 0 | * * 12 * * * | 1 1 0 0 abj xqq = verf(trip)
2 1 | 0 1 1 1 0 | * * * 12 * * | 2 0 0 0 afg xqq = verf(trip)
1 2 | 0 0 0 2 1 | * * * * 6 * | 0 2 0 0 aij xqq = verf(trip)
0 3 | 0 0 0 0 3 | * * * * * 4 | 0 1 0 1 ghi xxx = verf(tet)
----+--------------+----------------+--------
4 2 | 2 2 4 4 0 | 0 2 2 4 0 0 | 6 * * * abdfgj verf(firp)
3 3 | 3 0 0 6 3 | 1 0 3 0 3 1 | * 4 * * abchij verf(firp)
3 1 | 3 0 3 0 0 | 1 3 0 0 0 0 | * * 4 * abcg tet = verf(pen)
0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * 1 ghij tet = verf(pen)
or
10 | 6 3 | 6 9 | 6 2
---+-------+-------+-----
2 | 30 * | 2 1 | 2 1 x
2 | * 15 | 0 4 | 4 0 q
---+-------+-------+-----
3 | 3 0 | 20 * | 1 1 xxx = verf(tet)
3 | 1 2 | * 30 | 2 0 xqq = verf(trip)
---+-------+-------+-----
6 | 6 6 | 2 6 | 10 * verf(firp)
4 | 6 0 | 4 0 | * 5 tet = verf(pen)