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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 22,301–22,350

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.34415243122041✓all7?
3.12.34415693122071✓all7?
3.12.34416063122051✓all7?
3.12.34416953122051✓all7?
3.12.34418693122061✓all7?
3.12.34418933122071✓all7?
3.12.34419023122071✓all7?
3.12.34419303122061✓all7?
3.12.34419473122081✓all7?
3.12.34419743122061✓all7?
3.12.34419823122051✓all7?
3.12.34419913122051✓all7?
3.12.34419943122061✓all7?
3.12.34420143122071✓all7?
3.12.34420283122051✓all7?
3.12.34422123122061✓all7?
3.12.34423893122051✓all7?
3.12.34426683122041✓all7?
3.12.34432383122071✓all7?
3.12.34439233122041✓all7?
3.12.34445463122061✓all7?
3.12.34448803122071✓all7?
3.12.34454343122081✓all7?
3.12.34454523122091✓all7?
3.12.34454663122081✓all7?
3.12.34454673122071✓all7?
3.12.34454923122081✓all7?
3.12.34455123122071✓all7?
3.12.34455363122081✓all7?
3.12.34455533122061✓all7?
3.12.34455633122071✓all7?
3.12.34455933122061✓all7?
3.12.34455963122061✓all7?
3.12.34456003122071✓all7?
3.12.34456903122061✓all7?
3.12.34459023122071✓all7?
3.12.34462563122071✓all7?
3.12.34466053122071✓all7?
3.12.34466153122091✓all7?
3.12.34466243122081✓all7?
3.12.34466313122081✓all7?
3.12.34466743122071✓all7?
3.12.34466823122071✓all7?
3.12.34467153122071✓all7?
3.12.34467583122081✓all7?
3.12.34467623122071✓all7?
3.12.34467633122081✓all7?
3.12.34467643122071✓all7?
3.12.34467683122081✓all7?
3.12.34468763122061✓all7?

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