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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 19,101–19,150

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3672503122091✓all6?
3.12.3672653122071✓all6?
3.12.3672673122071✓all6?
3.12.3672943122081✓all6?
3.12.3672983122071✓all6?
3.12.3673013122071✓all6?
3.12.3673063122071✓all6?
3.12.3673093122081✓all6?
3.12.3673253122071✓all6?
3.12.3673263122081✓all6?
3.12.3673303122081✓all6?
3.12.3673353122081✓all6?
3.12.3673373122071✓all6?
3.12.3673423122081✓all6?
3.12.3673503122071✓all6?
3.12.3673573122071✓all6?
3.12.3673623122071✓all6?
3.12.3673693122071✓all6?
3.12.3673763122071✓all6?
3.12.3673813122081✓all6?
3.12.3673853122081✓all6?
3.12.3673983122071✓all6?
3.12.3674423122081✓all6?
3.12.3674623122081✓all6?
3.12.3674643122081✓all6?
3.12.3674813122071✓all6?
3.12.3674833122071✓all6?
3.12.3674863122081✓all6?
3.12.3675093122081✓all6?
3.12.3675233122081✓all6?
3.12.3675393122071✓all6?
3.12.3675403122071✓all6?
3.12.3675543122071✓all6?
3.12.3675583122081✓all6?
3.12.3675603122081✓all6?
3.12.3675763122081✓all6?
3.12.3675773122071✓all6?
3.12.3675803122091✓all6?
3.12.3675883122081✓all6?
3.12.3675933122081✓all6?
3.12.3675993122081✓all6?
3.12.3676043122081✓all6?
3.12.3676053122071✓all6?
3.12.3676073122071✓all6?
3.12.3676103122081✓all6?
3.12.3676293122071✓all6?
3.12.3676333122071✓all6?
3.12.3676343122081✓all6?
3.12.3676453122071✓all6?
3.12.3676473122071✓all6?

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