Matroid database

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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 19,451–19,500

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19962023122041✓all7?
3.12.19962133122061✓all7?
3.12.19962343122041✓all7?
3.12.19962353122041✓all7?
3.12.19962463122051✓all7?
3.12.19962493122051✓all7?
3.12.19963673122061✓all7?
3.12.19963843122061✓all7?
3.12.19963953122061✓all7?
3.12.19964263122061✓all7?
3.12.19964563122051✓all7?
3.12.19964633122051✓all7?
3.12.19964763122061✓all7?
3.12.19964793122051✓all7?
3.12.19965183122041✓all7?
3.12.19966163122071✓all7?
3.12.19967363122051✓all7?
3.12.19967493122051✓all7?
3.12.19967673122081✓all7?
3.12.19967723122081✓all7?
3.12.19967733122081✓all7?
3.12.19967863122071✓all7?
3.12.19967993122071✓all7?
3.12.19968133122071✓all7?
3.12.19968183122061✓all7?
3.12.19969723122071✓all7?
3.12.19970893122051✓all7?
3.12.19971863122041✓all7?
3.12.19971953122061✓all7?
3.12.19972083122051✓all7?
3.12.19972503122061✓all7?
3.12.19972513122061✓all7?
3.12.19972583122061✓all7?
3.12.19973043122051✓all7?
3.12.19973073122061✓all7?
3.12.19973423122051✓all7?
3.12.19974203122041✓all7?
3.12.19974943122061✓all7?
3.12.19975953122071✓all7?
3.12.19977013122061✓all7?
3.12.19977173122061✓all7?
3.12.19977193122051✓all7?
3.12.19977403122041✓all7?
3.12.19977473122051✓all7?
3.12.19977613122071✓all7?
3.12.19977823122061✓all7?
3.12.19977883122071✓all7?
3.12.19978133122061✓all7?
3.12.19978973122051✓all7?
3.12.19980433122061✓all7?

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