a    b              
 c    d            i
                    
e    f              
 g    h            j

Incidence matrix

8 * | 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1
* 2 | 0 0 0 4 1 | 0 0 0 2 2 4 | 0 2 1 2
----+-----------+-------------+--------
2 0 | 4 * * * * | 1 1 0 1 0 0 | 1 0 1 1  ab,cd x
2 0 | * 4 * * * | 0 1 1 0 0 1 | 1 1 0 1  ae,cg x
2 0 | * * 4 * * | 1 0 1 0 1 0 | 1 1 1 0  ad,bc q
1 1 | * * * 8 * | 0 0 0 1 1 1 | 0 1 1 1  ai,bi,ci,di q
0 2 | * * * * 1 | 0 0 0 0 0 4 | 0 2 0 2  ij x
----+-----------+-------------+--------
4 0 | 2 0 2 0 0 | 2 * * * * * | 1 0 1 0  abcd xq(-x)q verf(thah)
4 0 | 2 2 0 0 0 | * 2 * * * * | 1 0 0 1  abfe xxxx verf(oct)
4 0 | 0 2 2 0 0 | * * 2 * * * | 1 1 0 0  adhe xqxq verf(co)
2 1 | 1 0 0 2 0 | * * * 4 * * | 0 0 1 1  abi xqq verf(trip)
2 1 | 0 0 1 2 0 | * * * * 4 * | 0 1 0 1  adi qqq verf(cube)
2 2 | 0 1 0 2 1 | * * * * * 4 | 0 1 0 1  aeji xqxq verf(co)
----+-----------+-------------+--------
8 0 | 4 4 4 0 0 | 2 2 2 0 0 0 | 1 * * *  abcdefgh verf(ratho)
4 2 | 0 2 2 4 1 | 0 0 1 0 2 2 | * 2 * *  adehij verf(rico)
4 1 | 2 0 2 4 0 | 1 0 0 2 2 0 | * * 2 *  abcdi verf(thahp)
4 2 | 2 2 0 4 1 | 0 1 0 2 0 2 | * * * 2  abefij verf(srip)