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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 19,501–19,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19981323122071✓all7?
3.12.19982323122051✓all7?
3.12.19983173122051✓all7?
3.12.19983253122051✓all7?
3.12.19983923122051✓all7?
3.12.19984183122051✓all7?
3.12.19984243122041✓all7?
3.12.19984633122051✓all7?
3.12.19984653122061✓all7?
3.12.19984843122051✓all7?
3.12.19984993122041✓all7?
3.12.19986093122071✓all7?
3.12.19988223122061✓all7?
3.12.19989103122061✓all7?
3.12.19989703122061✓all7?
3.12.19991423122061✓all7?
3.12.19992663122051✓all7?
3.12.19992823122041✓all7?
3.12.19992843122041✓all7?
3.12.19992893122051✓all7?
3.12.19993203122041✓all7?
3.12.19993443122061✓all7?
3.12.19993583122071✓all7?
3.12.19993623122061✓all7?
3.12.19993783122061✓all7?
3.12.19994663122051✓all7?
3.12.19995623122061✓all7?
3.12.19996723122051✓all7?
3.12.19998353122041✓all7?
3.12.19999173122051✓all7?
3.12.20000133122061✓all7?
3.12.20001523122071✓all7?
3.12.20006693122041✓all7?
3.12.20012443122081✓all7?
3.12.20017683122051✓all7?
3.12.20023713122051✓all7?
3.12.20027993122061✓all7?
3.12.20034513122041✓all7?
3.12.20034563122041✓all7?
3.12.20034783122031✓all7?
3.12.20034823122041✓all7?
3.12.20034903122031✓all7?
3.12.20035343122071✓all7?
3.12.20035633122061✓all7?
3.12.20035753122061✓all7?
3.12.20035943122071✓all7?
3.12.20037033122061✓all7?
3.12.20038183122061✓all7?
3.12.20039553122071✓all7?
3.12.20040403122051✓all7?

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