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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 19,201–19,250

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19654053122061✓all7?
3.12.19654143122061✓all7?
3.12.19654203122061✓all7?
3.12.19654273122051✓all7?
3.12.19654303122071✓all7?
3.12.19654333122071✓all7?
3.12.19654663122061✓all7?
3.12.19656093122051✓all7?
3.12.19657593122061✓all7?
3.12.19658033122051✓all7?
3.12.19658153122041✓all7?
3.12.19658263122061✓all7?
3.12.19658403122051✓all7?
3.12.19658423122051✓all7?
3.12.19659203122061✓all7?
3.12.19659243122061✓all7?
3.12.19659503122061✓all7?
3.12.19659703122051✓all7?
3.12.19660623122051✓all7?
3.12.19661563122061✓all7?
3.12.19661593122051✓all7?
3.12.19661643122061✓all7?
3.12.19661813122051✓all7?
3.12.19661993122051✓all7?
3.12.19662593122051✓all7?
3.12.19662863122061✓all7?
3.12.19662893122051✓all7?
3.12.19662923122051✓all7?
3.12.19663723122051✓all7?
3.12.19665303122051✓all7?
3.12.19666703122041✓all7?
3.12.19667553122051✓all7?
3.12.19667603122041✓all7?
3.12.19667723122051✓all7?
3.12.19667763122061✓all7?
3.12.19668253122081✓all7?
3.12.19668403122061✓all7?
3.12.19668723122061✓all7?
3.12.19668793122061✓all7?
3.12.19668893122051✓all7?
3.12.19669533122061✓all7?
3.12.19670613122051✓all7?
3.12.19671603122041✓all7?
3.12.19672383122051✓all7?
3.12.19673503122051✓all7?
3.12.19673613122051✓all7?
3.12.19673623122051✓all7?
3.12.19674263122031✓all7?
3.12.19674283122031✓all7?
3.12.19674593122081✓all7?

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