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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.

84,161 matroids, showing 19,601–19,650

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.20192153122061✓all7?
3.12.20199963122061✓all7?
3.12.20207303122051✓all7?
3.12.20216563122071✓all7?
3.12.20228753122081✓all7?
3.12.20229163122081✓all7?
3.12.20229213122081✓all7?
3.12.20229523122081✓all7?
3.12.20230143122081✓all7?
3.12.20231213122071✓all7?
3.12.20231503122081✓all7?
3.12.20232273122071✓all7?
3.12.20232623122061✓all7?
3.12.20233863122061✓all7?
3.12.20234183122071✓all7?
3.12.20234523122061✓all7?
3.12.20236043122071✓all7?
3.12.20237413122071✓all7?
3.12.20241893122081✓all7?
3.12.20242003122081✓all7?
3.12.20242303122071✓all7?
3.12.20242353122071✓all7?
3.12.20242373122071✓all7?
3.12.20242503122061✓all7?
3.12.20242543122061✓all7?
3.12.20242703122081✓all7?
3.12.20242933122071✓all7?
3.12.20243923122081✓all7?
3.12.20244963122081✓all7?
3.12.20245893122061✓all7?
3.12.20246983122071✓all7?
3.12.20247553122071✓all7?
3.12.20248023122071✓all7?
3.12.20249023122081✓all7?
3.12.20256463122071✓all7?
3.12.20261803122071✓all7?
3.12.20266883122061✓all7?
3.12.20271653122071✓all7?
3.12.20288603122061✓all7?
3.12.20306223122061✓all7?
3.12.20321063122061✓all7?
3.12.20336443122061✓all7?
3.12.20349983122061✓all7?
3.12.20350073122061✓all7?
3.12.20350193122051✓all7?
3.12.20350203122051✓all7?
3.12.20350273122061✓all7?
3.12.20350283122061✓all7?
3.12.20350753122061✓all7?
3.12.20350763122061✓all7?

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