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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 18,851–18,900

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19409713122061✓all7?
3.12.19409763122051✓all7?
3.12.19409903122051✓all7?
3.12.19410023122042✓all7?
3.12.19410083122051✓all7?
3.12.19410113122052✓all7?
3.12.19410123122041✓all7?
3.12.19410263122052✓all7?
3.12.19410403122102✓all7?
3.12.19411663122091✓all7?
3.12.19411903122081✓all7?
3.12.19412003122081✓all7?
3.12.19412063122081✓all7?
3.12.19412143122091✓all7?
3.12.19412273122091✓all7?
3.12.19412293122081✓all7?
3.12.19412413122081✓all7?
3.12.19412453122081✓all7?
3.12.19414193122071✓all7?
3.12.19415483122081✓all7?
3.12.19415533122081✓all7?
3.12.19415603122081✓all7?
3.12.19415783122081✓all7?
3.12.19416453122071✓all7?
3.12.19416733122071✓all7?
3.12.19416773122071✓all7?
3.12.19416943122081✓all7?
3.12.19417583122071✓all7?
3.12.19418473122071✓all7?
3.12.19419453122081✓all7?
3.12.19421013122071✓all7?
3.12.19421253122071✓all7?
3.12.19421313122081✓all7?
3.12.19421633122071✓all7?
3.12.19421663122071✓all7?
3.12.19421813122061✓all7?
3.12.19422283122081✓all7?
3.12.19422373122071✓all7?
3.12.19422443122071✓all7?
3.12.19423213122091✓all7?
3.12.19423933122061✓all7?
3.12.19425373122071✓all7?
3.12.19426523122071✓all7?
3.12.19426533122072✓all7?
3.12.19426763122071✓all7?
3.12.19426873122071✓all7?
3.12.19426983122071✓all7?
3.12.19427013122061✓all7?
3.12.19427043122061✓all7?
3.12.19427393122071✓all7?

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