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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 19,151–19,200

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3676573122071✓all6?
3.12.3676593122071✓all6?
3.12.3676733122071✓all6?
3.12.3676823122071✓all6?
3.12.3676863122081✓all6?
3.12.3676923122091✓all6?
3.12.3676933122091✓all6?
3.12.3677023122081✓all6?
3.12.3677233122081✓all6?
3.12.3677643122081✓all6?
3.12.3677673122071✓all6?
3.12.3677733122081✓all6?
3.12.3677743122071✓all6?
3.12.3678023122061✓all6?
3.12.3678153122072✓all6?
3.12.3678243122091✓all6?
3.12.3678343122081✓all6?
3.12.3678433122081✓all6?
3.12.3678563122071✓all6?
3.12.3678793122071✓all6?
3.12.3678833122061✓all6?
3.12.3678873122071✓all6?
3.12.3678923122071✓all6?
3.12.3678973122111✓all6?
3.12.3679143122091✓all6?
3.12.3679213122091✓all6?
3.12.3679303122091✓all6?
3.12.3679313122091✓all6?
3.12.3679553122081✓all6?
3.12.3679863122091✓all6?
3.12.3680423122081✓all6?
3.12.3680523122081✓all6?
3.12.3680533122081✓all6?
3.12.3680573122081✓all6?
3.12.3680593122082✓all6?
3.12.3680623122071✓all6?
3.12.3680713122071✓all6?
3.12.3680723122071✓all6?
3.12.3680903122081✓all6?
3.12.3680993122101✓all6?
3.12.3681083122081✓all6?
3.12.3681103122091✓all6?
3.12.3681223122091✓all6?
3.12.3681353122081✓all6?
3.12.3681393122081✓all6?
3.12.3681493122071✓all6?
3.12.3682023122081✓all6?
3.12.3682563122091✓all6?
3.12.3682643122081✓all6?
3.12.3682823122081✓all6?

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