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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.

381,906 matroids, showing 18,601–18,650

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3524283122081✓all6?
3.12.3524463122091✓all6?
3.12.3524943122081✓all6?
3.12.3525023122081✓all6?
3.12.3525063122081✓all6?
3.12.3525243122092✓all6?
3.12.3525363122081✓all6?
3.12.3525553122091✓all6?
3.12.3525663122071✓all6?
3.12.3526233122091✓all6?
3.12.3526273122091✓all6?
3.12.3526363122091✓all6?
3.12.3526673122081✓all6?
3.12.3526743122081✓all6?
3.12.3526813122081✓all6?
3.12.3527303122091✓all6?
3.12.3527393122081✓all6?
3.12.3527503122081✓all6?
3.12.3527613122101✓all6?
3.12.3527823122091✓all6?
3.12.3527943122091✓all6?
3.12.3528263122091✓all6?
3.12.3528443122081✓all6?
3.12.3528553122091✓all6?
3.12.3529123122092✓all6?
3.12.3529233122081✓all6?
3.12.3529493122101✓all6?
3.12.3530193122081✓all6?
3.12.3530583122081✓all6?
3.12.3530613122091✓all6?
3.12.3530673122081✓all6?
3.12.3530813122091✓all6?
3.12.3530893122091✓all6?
3.12.3531073122091✓all6?
3.12.3531363122091✓all6?
3.12.3531403122091✓all6?
3.12.3531543122081✓all6?
3.12.3531813122101✓all6?
3.12.3532253122091✓all6?
3.12.3532483122081✓all6?
3.12.3533013122081✓all6?
3.12.3533193122081✓all6?
3.12.3533643122081✓all6?
3.12.3533783122101✓all6?
3.12.3533923122081✓all6?
3.12.3533963122101✓all6?
3.12.3533993122091✓all6?
3.12.3534413122081✓all6?
3.12.3534453122081✓all6?
3.12.3535653122081✓all6?

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