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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 22,151–22,200

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.33845613122061✓all7?
3.12.33902633122051✓all7?
3.12.33922063122051✓all7?
3.12.33922563122041✓all7?
3.12.33977303122071✓all7?
3.12.33977313122071✓all7?
3.12.33997333122061✓all7?
3.12.34001103122071✓all7?
3.12.34034013122071✓all7?
3.12.34034143122061✓all7?
3.12.34034153122061✓all7?
3.12.34034443122071✓all7?
3.12.34034483122071✓all7?
3.12.34034553122071✓all7?
3.12.34034923122061✓all7?
3.12.34037453122061✓all7?
3.12.34044623122061✓all7?
3.12.34052543122061✓all7?
3.12.34074823122041✓all7?
3.12.34078133122061✓all7?
3.12.34107513122061✓all7?
3.12.34133523122071✓all7?
3.12.34133893122071✓all7?
3.12.34133993122061✓all7?
3.12.34134023122081✓all7?
3.12.34134263122081✓all7?
3.12.34134523122061✓all7?
3.12.34134693122081✓all7?
3.12.34134883122091✓all7?
3.12.34135013122081✓all7?
3.12.34135173122081✓all7?
3.12.34135223122081✓all7?
3.12.34136663122071✓all7?
3.12.34138883122081✓all7?
3.12.34142663122071✓all7?
3.12.34145153122061✓all7?
3.12.34147093122081✓all7?
3.12.34158413122071✓all7?
3.12.34158423122071✓all7?
3.12.34158533122061✓all7?
3.12.34158773122061✓all7?
3.12.34159163122051✓all7?
3.12.34159423122071✓all7?
3.12.34159433122071✓all7?
3.12.34159473122071✓all7?
3.12.34159683122071✓all7?
3.12.34159743122061✓all7?
3.12.34159913122061✓all7?
3.12.34160963122061✓all7?
3.12.34163343122051✓all7?

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