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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 22,351–22,400

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.34587263122071✓all7?
3.12.34614533122061✓all7?
3.12.34642133122051✓all7?
3.12.34657233122061✓all7?
3.12.34657253122061✓all7?
3.12.34657283122061✓all7?
3.12.34657293122061✓all7?
3.12.34657443122061✓all7?
3.12.34657453122051✓all7?
3.12.34658003122061✓all7?
3.12.34658083122061✓all7?
3.12.34658213122061✓all7?
3.12.34658223122061✓all7?
3.12.34658473122061✓all7?
3.12.34660023122061✓all7?
3.12.34662203122061✓all7?
3.12.34665963122061✓all7?
3.12.34669603122061✓all7?
3.12.34670033122061✓all7?
3.12.34674813122061✓all7?
3.12.34680163122071✓all7?
3.12.34681713122071✓all7?
3.12.34689233122051✓all7?
3.12.34725983122071✓all7?
3.12.34756773122081✓all7?
3.12.34758963122071✓all7?
3.12.34759303122071✓all7?
3.12.34759783122051✓all7?
3.12.34759863122051✓all7?
3.12.34760263122061✓all7?
3.12.34760533122051✓all7?
3.12.34760923122051✓all7?
3.12.34761123122051✓all7?
3.12.34761343122061✓all7?
3.12.34761623122071✓all7?
3.12.34761933122051✓all7?
3.12.34762063122061✓all7?
3.12.34762293122051✓all7?
3.12.34762473122061✓all7?
3.12.34763403122061✓all7?
3.12.34763803122041✓all7?
3.12.34763983122041✓all7?
3.12.34764703122051✓all7?
3.12.34765133122061✓all7?
3.12.34765363122051✓all7?
3.12.34766803122051✓all7?
3.12.34766963122041✓all7?
3.12.34767283122041✓all7?
3.12.34767643122061✓all7?
3.12.34767983122071✓all7?

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