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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 21,801–21,850

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4330073122081✓all6?
3.12.4330253122081✓all6?
3.12.4330293122071✓all6?
3.12.4330413122071✓all6?
3.12.4330433122081✓all6?
3.12.4330443122071✓all6?
3.12.4330473122071✓all6?
3.12.4330523122061✓all6?
3.12.4330573122071✓all6?
3.12.4330603122071✓all6?
3.12.4330833122071✓all6?
3.12.4331243122101✓all6?
3.12.4331253122091✓all6?
3.12.4331353122081✓all6?
3.12.4331473122081✓all6?
3.12.4331713122081✓all6?
3.12.4331773122071✓all6?
3.12.4331783122071✓all6?
3.12.4331853122081✓all6?
3.12.4331963122071✓all6?
3.12.4331983122081✓all6?
3.12.4332093122081✓all6?
3.12.4332153122081✓all6?
3.12.4332333122081✓all6?
3.12.4332403122071✓all6?
3.12.4332453122081✓all6?
3.12.4332553122081✓all6?
3.12.4332643122091✓all6?
3.12.4332693122081✓all6?
3.12.4332863122071✓all6?
3.12.4333313122081✓all6?
3.12.4333583122071✓all6?
3.12.4333953122071✓all6?
3.12.4334083122061✓all6?
3.12.4334173122061✓all6?
3.12.4334333122081✓all6?
3.12.4334433122071✓all6?
3.12.4334493122081✓all6?
3.12.4334603122061✓all6?
3.12.4334713122071✓all6?
3.12.4334733122071✓all6?
3.12.4334743122071✓all6?
3.12.4334833122081✓all6?
3.12.4334853122081✓all6?
3.12.4334943122071✓all6?
3.12.4335133122071✓all6?
3.12.4335193122071✓all6?
3.12.4335243122061✓all6?
3.12.4335323122071✓all6?
3.12.4335503122061✓all6?

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