Connected Regular Matroids

n=9, k=3

The regular matroids are given as matrix matroids over GF(2) in reduced form, i.e. the identity matrix of rank k must be put in front of each matrix.


[1:1:1:1:1:1:]
[0:0:0:0:0:1:]
[0:0:0:0:0:1:]


[1:1:1:1:1:1:]
[0:0:0:0:1:0:]
[0:0:0:0:0:1:]


[1:1:1:1:0:1:]
[0:0:0:0:1:1:]
[0:0:0:0:0:1:]


[1:1:1:1:1:0:]
[0:0:0:0:1:1:]
[0:0:0:0:0:1:]


[1:1:1:0:1:1:]
[0:0:0:1:1:0:]
[0:0:0:0:0:1:]


[1:1:1:0:0:1:]
[0:0:0:1:1:1:]
[0:0:0:0:0:1:]


[1:1:1:0:1:0:]
[0:0:0:1:1:1:]
[0:0:0:0:0:1:]


[1:1:1:0:1:1:]
[0:0:0:1:1:1:]
[0:0:0:0:0:1:]


[1:1:0:0:1:1:]
[0:0:1:1:1:0:]
[0:0:0:0:0:1:]


[1:1:0:1:1:1:]
[0:0:1:1:1:0:]
[0:0:0:0:0:1:]


[1:1:0:0:1:1:]
[0:0:1:1:1:1:]
[0:0:0:0:0:1:]


[1:1:0:1:1:0:]
[0:0:1:1:1:1:]
[0:0:0:0:0:1:]


[1:1:1:0:0:1:]
[0:0:0:1:0:1:]
[0:0:0:0:1:1:]


[1:1:1:0:1:0:]
[0:0:0:1:0:1:]
[0:0:0:0:1:1:]


[1:1:1:1:1:0:]
[0:0:0:1:0:1:]
[0:0:0:0:1:1:]


[1:1:0:1:0:1:]
[0:0:1:1:0:0:]
[0:0:0:0:1:1:]


[1:1:0:0:0:1:]
[0:0:1:1:0:1:]
[0:0:0:0:1:1:]


[1:1:0:0:1:0:]
[0:0:1:1:0:1:]
[0:0:0:0:1:1:]


[1:1:0:1:0:0:]
[0:0:1:1:0:1:]
[0:0:0:0:1:1:]


[1:1:0:1:0:1:]
[0:0:1:1:0:1:]
[0:0:0:0:1:1:]


[1:0:1:1:0:1:]
[0:1:1:1:0:0:]
[0:0:0:0:1:1:]


[1:1:0:1:1:0:]
[0:0:1:1:0:1:]
[0:0:0:0:1:1:]


[1:0:1:1:1:0:]
[0:1:1:1:0:1:]
[0:0:0:0:1:1:]


[1:1:0:0:0:1:]
[0:0:1:0:1:1:]
[0:0:0:1:1:1:]


[1:1:0:0:1:1:]
[0:0:1:0:1:1:]
[0:0:0:1:1:1:]


[1:1:0:1:0:1:]
[0:0:1:0:1:1:]
[0:0:0:1:1:1:]


[1:0:1:0:1:0:]
[0:1:1:0:0:1:]
[0:0:0:1:1:1:]


[1:0:1:0:1:1:]
[0:1:1:0:1:1:]
[0:0:0:1:1:1:]


[1:0:1:0:1:1:]
[0:1:1:0:0:1:]
[0:0:0:1:1:1:]

There are 2 non-regular matroids among all 31 connected matrix matroids.