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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 18,801–18,850

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19350253122071✓all7?
3.12.19350663122071✓all7?
3.12.19351873122051✓all7?
3.12.19357913122061✓all7?
3.12.19384513122051✓all7?
3.12.19387733122051✓all7?
3.12.19388593122071✓all7?
3.12.19388923122061✓all7?
3.12.19389003122061✓all7?
3.12.19389523122061✓all7?
3.12.19389583122041✓all7?
3.12.19389923122041✓all7?
3.12.19390003122051✓all7?
3.12.19390013122041✓all7?
3.12.19390413122071✓all7?
3.12.19391353122061✓all7?
3.12.19392073122061✓all7?
3.12.19392093122051✓all7?
3.12.19392463122061✓all7?
3.12.19392563122051✓all7?
3.12.19392573122061✓all7?
3.12.19392783122061✓all7?
3.12.19393043122061✓all7?
3.12.19393153122051✓all7?
3.12.19393433122061✓all7?
3.12.19394053122051✓all7?
3.12.19394083122071✓all7?
3.12.19394513122051✓all7?
3.12.19395003122061✓all7?
3.12.19395183122051✓all7?
3.12.19395253122061✓all7?
3.12.19395293122051✓all7?
3.12.19395483122062✓all7?
3.12.19395523122071✓all7?
3.12.19395603122061✓all7?
3.12.19395633122061✓all7?
3.12.19395713122051✓all7?
3.12.19395793122051✓all7?
3.12.19396083122051✓all7?
3.12.19396313122051✓all7?
3.12.19396593122071✓all7?
3.12.19396633122071✓all7?
3.12.19396653122071✓all7?
3.12.19396863122071✓all7?
3.12.19397023122071✓all7?
3.12.19397603122071✓all7?
3.12.19397823122061✓all7?
3.12.19398093122071✓all7?
3.12.19398173122061✓all7?
3.12.19398183122061✓all7?

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