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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 ⇅
3.12.32391583122071✓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?
3.12.32448963122071✓all7?
3.12.32456673122071✓all7?
3.12.32495943122081✓all7?
3.12.32529063122081✓all7?
3.12.32549353122061✓all7?
3.12.32582453122071✓all7?
3.12.32606183122071✓all7?
3.12.32641073122071✓all7?
3.12.32662303122071✓all7?
3.12.32676103122071✓all7?
3.12.32736893122081✓all7?
3.12.32738633122081✓all7?
3.12.32747263122061✓all7?
3.12.32775423122061✓all7?
3.12.32794523122081✓all7?
3.12.32804823122061✓all7?
3.12.32823703122071✓all7?
3.12.32866123122061✓all7?
3.12.32875393122091✓all7?
3.12.32879103122071✓all7?
3.12.32937703122071✓all7?
3.12.32943653122061✓all7?
3.12.32943783122061✓all7?
3.12.32943843122061✓all7?
3.12.32943913122061✓all7?
3.12.32944453122081✓all7?
3.12.32944833122061✓all7?
3.12.32945173122061✓all7?
3.12.32945373122061✓all7?
3.12.32945473122061✓all7?
3.12.32945533122071✓all7?
3.12.32946773122081✓all7?
3.12.32951723122041✓all7?
3.12.32955543122051✓all7?
3.12.32961943122051✓all7?
3.12.32969383122061✓all7?
3.12.32976653122071✓all7?
3.12.32986043122061✓all7?
3.12.32986063122061✓all7?
3.12.32986403122061✓all7?
3.12.32986913122061✓all7?

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