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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 22,301–22,350

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4433653122081✓all6?
3.12.4433663122081✓all6?
3.12.4433823122081✓all6?
3.12.4433833122081✓all6?
3.12.4434163122091✓all6?
3.12.4434273122071✓all6?
3.12.4434333122081✓all6?
3.12.4434353122071✓all6?
3.12.4435003122091✓all6?
3.12.4435173122081✓all6?
3.12.4435433122081✓all6?
3.12.4435933122081✓all6?
3.12.4436343122081✓all6?
3.12.4436633122091✓all6?
3.12.4436753122081✓all6?
3.12.4437933122091✓all6?
3.12.4438023122081✓all6?
3.12.4438573122081✓all6?
3.12.4439453122071✓all6?
3.12.4439613122091✓all6?
3.12.4439673122081✓all6?
3.12.4439693122081✓all6?
3.12.4439893122091✓all6?
3.12.4440093122081✓all6?
3.12.4440163122071✓all6?
3.12.4440173122071✓all6?
3.12.4440263122081✓all6?
3.12.4440413122071✓all6?
3.12.4440573122071✓all6?
3.12.4440823122081✓all6?
3.12.4440953122071✓all6?
3.12.4441143122081✓all6?
3.12.4441803122081✓all6?
3.12.4442373122081✓all6?
3.12.4442453122071✓all6?
3.12.4442603122071✓all6?
3.12.4442743122081✓all6?
3.12.4443013122061✓all6?
3.12.4443593122091✓all6?
3.12.4443783122081✓all6?
3.12.4443813122081✓all6?
3.12.4443973122081✓all6?
3.12.4444003122081✓all6?
3.12.4444023122081✓all6?
3.12.4444033122071✓all6?
3.12.4444123122071✓all6?
3.12.4444163122071✓all6?
3.12.4444173122071✓all6?
3.12.4444263122081✓all6?
3.12.4444303122091✓all6?

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