Matroid database

Search

…or describe it by its bases, non-bases or lines

Any labeling of the ground set $\{1,\dots,n\}$ will do: we compute the canonical id. Sets are written as {1,2,3}, one per line, or, when $n \le 9$, as digit strings such as 123 145. Lines are the lines with at least three points of a simple rank-3 matroid. A revlex encoding is a string of * and 0.

381,906 matroids, showing 18,951–19,000

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3630333122071✓all6?
3.12.3631023122061✓all6?
3.12.3631423122071✓all6?
3.12.3632083122091✓all6?
3.12.3633003122081✓all6?
3.12.3633053122081✓all6?
3.12.3633243122071✓all6?
3.12.3633593122101✓all6?
3.12.3633653122091✓all6?
3.12.3633793122091✓all6?
3.12.3634423122081✓all6?
3.12.3634783122081✓all6?
3.12.3635543122081✓all6?
3.12.3636073122091✓all6?
3.12.3636383122071✓all6?
3.12.3636813122091✓all6?
3.12.3636833122081✓all6?
3.12.3637003122061✓all6?
3.12.3637443122071✓all6?
3.12.3637703122081✓all6?
3.12.3638443122091✓all6?
3.12.3639873122081✓all6?
3.12.3639963122071✓all6?
3.12.3640093122081✓all6?
3.12.3640263122071✓all6?
3.12.3640333122081✓all6?
3.12.3640363122081✓all6?
3.12.3640513122081✓all6?
3.12.3641473122091✓all6?
3.12.3642013122091✓all6?
3.12.3642343122091✓all6?
3.12.3642703122091✓all6?
3.12.3644153122081✓all6?
3.12.3644263122071✓all6?
3.12.3644293122081✓all6?
3.12.3644313122081✓all6?
3.12.3644393122081✓all6?
3.12.3644443122091✓all6?
3.12.3644563122091✓all6?
3.12.3644643122071✓all6?
3.12.3644763122071✓all6?
3.12.3645013122071✓all6?
3.12.3645183122081✓all6?
3.12.3645193122081✓all6?
3.12.3645443122071✓all6?
3.12.3645513122071✓all6?
3.12.3645553122081✓all6?
3.12.3645633122081✓all6?
3.12.3645743122071✓all6?
3.12.3645933122071✓all6?

« first ‹ prev next ›