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…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 18,351–18,400

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3460083122081✓all6?
3.12.3460493122101✓all6?
3.12.3460513122091✓all6?
3.12.3460553122091✓all6?
3.12.3461093122081✓all6?
3.12.3461303122071✓all6?
3.12.3461543122071✓all6?
3.12.3461683122081✓all6?
3.12.3461703122071✓all6?
3.12.3462613122081✓all6?
3.12.3462853122082✓all6?
3.12.3462873122081✓all6?
3.12.3462943122081✓all6?
3.12.3462983122071✓all6?
3.12.3463103122091✓all6?
3.12.3463303122081✓all6?
3.12.3463313122081✓all6?
3.12.3463573122081✓all6?
3.12.3463763122071✓all6?
3.12.3463783122071✓all6?
3.12.3463803122081✓all6?
3.12.3463843122071✓all6?
3.12.3463993122071✓all6?
3.12.3464083122081✓all6?
3.12.3464123122071✓all6?
3.12.3464283122071✓all6?
3.12.3464373122071✓all6?
3.12.3464563122071✓all6?
3.12.3464603122071✓all6?
3.12.3464943122061✓all6?
3.12.3465093122072✓all6?
3.12.3465133122071✓all6?
3.12.3465283122071✓all6?
3.12.3465513122061✓all6?
3.12.3465533122124✓all6?
3.12.3465853122102✓all6?
3.12.3465883122102✓all6?
3.12.3466123122101✓all6?
3.12.3466403122101✓all6?
3.12.3466413122101✓all6?
3.12.3466513122101✓all6?
3.12.3466553122101✓all6?
3.12.3466653122111✓all6?
3.12.3466673122101✓all6?
3.12.3466873122111✓all6?
3.12.3467013122101✓all6?
3.12.3467033122101✓all6?
3.12.3467123122101✓all6?
3.12.3467333122101✓all6?
3.12.3467903122101✓all6?

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