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 19,301–19,350

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19748813122051✓all7?
3.12.19749403122051✓all7?
3.12.19749413122061✓all7?
3.12.19749523122051✓all7?
3.12.19749843122051✓all7?
3.12.19749983122051✓all7?
3.12.19750153122051✓all7?
3.12.19750183122061✓all7?
3.12.19750243122051✓all7?
3.12.19751783122051✓all7?
3.12.19752593122061✓all7?
3.12.19753873122061✓all7?
3.12.19753973122041✓all7?
3.12.19754013122061✓all7?
3.12.19754253122061✓all7?
3.12.19754303122041✓all7?
3.12.19754323122041✓all7?
3.12.19754333122071✓all7?
3.12.19754503122051✓all7?
3.12.19754973122061✓all7?
3.12.19756333122051✓all7?
3.12.19757423122061✓all7?
3.12.19758013122051✓all7?
3.12.19758643122061✓all7?
3.12.19759933122082✓all7?
3.12.19759963122062✓all7?
3.12.19760173122061✓all7?
3.12.19760643122051✓all7?
3.12.19760673122051✓all7?
3.12.19760683122041✓all7?
3.12.19760713122071✓all7?
3.12.19760783122051✓all7?
3.12.19760833122051✓all7?
3.12.19761293122032✓all7?
3.12.19762213122061✓all7?
3.12.19763193122081✓all7?
3.12.19764003122061✓all7?
3.12.19765103122061✓all7?
3.12.19765193122061✓all7?
3.12.19765463122071✓all7?
3.12.19765673122061✓all7?
3.12.19765933122071✓all7?
3.12.19766033122061✓all7?
3.12.19766263122051✓all7?
3.12.19766333122061✓all7?
3.12.19766433122051✓all7?
3.12.19767323122061✓all7?
3.12.19769213122051✓all7?
3.12.19769953122051✓all7?
3.12.19770643122051✓all7?

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