> On 1/04/2015, at 2041, Gordon <[email protected]> wrote:
> 
> In a comment to Dillon's latest matroidunion blog post, Sandra Kingan said 
> "The 3-connected rank 5 and 11 element matroids are only 32 in number" and 
> then later in the same comment that only 20 do not have an AG(3,2)-minor
> 
> Even assuming that she means "binary matroids" I cannot make my numbers match 
> hers.
> 
> Here is an array of 37 BinaryMatroids.  I believe that
> 
> - they each have rank 5 and size 11
> - they are all 3-connected (at least)
> - they are pairwise non-isomorphic
> - 24 of them do NOT have an AG(3,2)-minor
> - 13 of them do have an AG(3,2) minor and 
> 
> Could anyone here confirm that I am not losing my mind (more than usual) and 
> that these assertions are true?
> 
> Thanks
> 
> Gordon

According to sage-matroid, all your assertions are true. I made some boo-boos, 
but the full session can be viewed at http://pastebin.com/bC9Xac4S

Michael

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