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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 21,451–21,500

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.27126533122081✓all7?
3.12.27126913122071✓all7?
3.12.27127033122061✓all7?
3.12.27127373122071✓all7?
3.12.27127503122071✓all7?
3.12.27127863122061✓all7?
3.12.27129273122071✓all7?
3.12.27130843122081✓all7?
3.12.27131653122061✓all7?
3.12.27132613122071✓all7?
3.12.27132653122071✓all7?
3.12.27133483122061✓all7?
3.12.27134443122071✓all7?
3.12.27136663122061✓all7?
3.12.27141883122051✓all7?
3.12.27148133122061✓all7?
3.12.27154313122061✓all7?
3.12.27158713122061✓all7?
3.12.27160533122071✓all7?
3.12.27163433122071✓all7?
3.12.27168093122071✓all7?
3.12.27177613122061✓all7?
3.12.27201203122061✓all7?
3.12.27230973122061✓all7?
3.12.27248193122081✓all7?
3.12.27271463122071✓all7?
3.12.27293073122051✓all7?
3.12.27334833122071✓all7?
3.12.27348053122081✓all7?
3.12.27388753122061✓all7?
3.12.27407223122051✓all7?
3.12.27407433122061✓all7?
3.12.27407743122061✓all7?
3.12.27408263122051✓all7?
3.12.27408383122071✓all7?
3.12.27408403122061✓all7?
3.12.27408473122061✓all7?
3.12.27408563122051✓all7?
3.12.27408593122061✓all7?
3.12.27409603122041✓all7?
3.12.27410583122061✓all7?
3.12.27411383122061✓all7?
3.12.27412853122051✓all7?
3.12.27414553122061✓all7?
3.12.27415483122081✓all7?
3.12.27416043122071✓all7?
3.12.27421993122061✓all7?
3.12.27424313122051✓all7?
3.12.27429343122061✓all7?
3.12.27431563122061✓all7?

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