Matroid database

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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 19,401–19,450

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19861903122051✓all7?
3.12.19862003122061✓all7?
3.12.19862023122051✓all7?
3.12.19862083122051✓all7?
3.12.19862293122051✓all7?
3.12.19863333122041✓all7?
3.12.19864013122061✓all7?
3.12.19864463122051✓all7?
3.12.19865183122051✓all7?
3.12.19866473122051✓all7?
3.12.19867523122061✓all7?
3.12.19867633122041✓all7?
3.12.19867823122051✓all7?
3.12.19873213122051✓all7?
3.12.19878543122061✓all7?
3.12.19885593122041✓all7?
3.12.19894853122051✓all7?
3.12.19903823122061✓all7?
3.12.19910283122051✓all7?
3.12.19919843122051✓all7?
3.12.19920163122041✓all7?
3.12.19920323122031✓all7?
3.12.19920493122051✓all7?
3.12.19920623122051✓all7?
3.12.19920983122041✓all7?
3.12.19921063122061✓all7?
3.12.19921133122041✓all7?
3.12.19921563122041✓all7?
3.12.19922763122041✓all7?
3.12.19923553122031✓all7?
3.12.19925203122051✓all7?
3.12.19925783122051✓all7?
3.12.19926553122071✓all7?
3.12.19927793122041✓all7?
3.12.19928673122051✓all7?
3.12.19932813122071✓all7?
3.12.19936753122061✓all7?
3.12.19942403122071✓all7?
3.12.19949983122061✓all7?
3.12.19961143122051✓all7?
3.12.19961183122061✓all7?
3.12.19961343122071✓all7?
3.12.19961393122061✓all7?
3.12.19961423122051✓all7?
3.12.19961483122061✓all7?
3.12.19961523122051✓all7?
3.12.19961743122041✓all7?
3.12.19961853122051✓all7?
3.12.19961943122051✓all7?
3.12.19961953122051✓all7?

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