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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 22,001–22,050

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.32181843122071✓all7?
3.12.32181943122061✓all7?
3.12.32181983122071✓all7?
3.12.32182003122061✓all7?
3.12.32182023122061✓all7?
3.12.32183183122081✓all7?
3.12.32183853122081✓all7?
3.12.32184363122081✓all7?
3.12.32184953122071✓all7?
3.12.32185713122061✓all7?
3.12.32186143122061✓all7?
3.12.32186683122071✓all7?
3.12.32190713122071✓all7?
3.12.32193863122082✓all7?
3.12.32198993122071✓all7?
3.12.32201463122061✓all7?
3.12.32205723122091✓all7?
3.12.32218423122061✓all7?
3.12.32219923122051✓all7?
3.12.32241613122051✓all7?
3.12.32248863122041✓all7?
3.12.32265283122061✓all7?
3.12.32275413122071✓all7?
3.12.32295613122061✓all7?
3.12.32310093122051✓all7?
3.12.32334883122051✓all7?
3.12.32383793122051✓all7?
3.12.32383903122042✓all7?
3.12.32384033122091✓all7?
3.12.32384043122091✓all7?
3.12.32384243122081✓all7?
3.12.32384263122081✓all7?
3.12.32384443122081✓all7?
3.12.32384563122071✓all7?
3.12.32384623122071✓all7?
3.12.32385413122071✓all7?
3.12.32386483122061✓all7?
3.12.32387293122071✓all7?
3.12.32388513122071✓all7?
3.12.32389463122071✓all7?
3.12.32390483122061✓all7?
3.12.32391583122071✓all7?
3.12.32397783122061✓all7?
3.12.32402563122061✓all7?
3.12.32407103122071✓all7?
3.12.32414273122061✓all7?
3.12.32418813122081✓all7?
3.12.32423783122091✓all7?
3.12.32441523122081✓all7?
3.12.32448153122071✓all7?

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