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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 19,401–19,450

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19773903122051✓all7?
3.12.19774963122051✓all7?
3.12.19776323122041✓all7?
3.12.19777173122071✓all7?
3.12.19777853122071✓all7?
3.12.19778183122051✓all7?
3.12.19779553122041✓all7?
3.12.19780783122041✓all7?
3.12.19785643122061✓all7?
3.12.19789793122071✓all7?
3.12.19792603122061✓all7?
3.12.19794003122051✓all7?
3.12.19800513122041✓all7?
3.12.19802053122051✓all7?
3.12.19806333122051✓all7?
3.12.19806473122061✓all7?
3.12.19806653122051✓all7?
3.12.19806763122051✓all7?
3.12.19806883122051✓all7?
3.12.19807063122051✓all7?
3.12.19807313122061✓all7?
3.12.19807813122051✓all7?
3.12.19807843122051✓all7?
3.12.19808673122071✓all7?
3.12.19810933122051✓all7?
3.12.19813423122061✓all7?
3.12.19815053122061✓all7?
3.12.19815723122061✓all7?
3.12.19817133122061✓all7?
3.12.19818243122071✓all7?
3.12.19824493122041✓all7?
3.12.19830643122061✓all7?
3.12.19835533122061✓all7?
3.12.19843703122041✓all7?
3.12.19846743122051✓all7?
3.12.19849243122051✓all7?
3.12.19852663122061✓all7?
3.12.19861473122061✓all7?
3.12.19861543122061✓all7?
3.12.19861843122061✓all7?
3.12.19861873122051✓all7?
3.12.19861903122051✓all7?
3.12.19862003122061✓all7?
3.12.19862023122051✓all7?
3.12.19862083122051✓all7?
3.12.19862293122051✓all7?
3.12.19863333122041✓all7?
3.12.19864013122061✓all7?
3.12.19864463122051✓all7?
3.12.19865183122051✓all7?

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