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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 22,501–22,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.35353193122061✓all7?
3.12.35353313122071✓all7?
3.12.35353563122061✓all7?
3.12.35356733122061✓all7?
3.12.35359573122071✓all7?
3.12.35362743122051✓all7?
3.12.35363513122071✓all7?
3.12.35365103122051✓all7?
3.12.35370443122051✓all7?
3.12.35371433122071✓all7?
3.12.35377493122041✓all7?
3.12.35381243122051✓all7?
3.12.35387033122051✓all7?
3.12.35396083122051✓all7?
3.12.35403843122051✓all7?
3.12.35407303122071✓all7?
3.12.35456463122051✓all7?
3.12.35460043122051✓all7?
3.12.35467333122081✓all7?
3.12.35467443122071✓all7?
3.12.35467633122071✓all7?
3.12.35467733122071✓all7?
3.12.35467963122061✓all7?
3.12.35468153122061✓all7?
3.12.35472103122051✓all7?
3.12.35473323122061✓all7?
3.12.35475063122051✓all7?
3.12.35482383122041✓all7?
3.12.35508483122041✓all7?
3.12.35554243122051✓all7?
3.12.35607093122051✓all7?
3.12.35618543122051✓all7?
3.12.35622893122051✓all7?
3.12.35623003122041✓all7?
3.12.35623013122031✓all7?
3.12.35623173122061✓all7?
3.12.35624093122051✓all7?
3.12.35625173122041✓all7?
3.12.35627613122041✓all7?
3.12.35628403122051✓all7?
3.12.35633493122051✓all7?
3.12.35637583122071✓all7?
3.12.35657103122041✓all7?
3.12.35657313122041✓all7?
3.12.35657473122051✓all7?
3.12.35657663122031✓all7?
3.12.35657873122051✓all7?
3.12.35657923122041✓all7?
3.12.35658243122041✓all7?
3.12.35658323122041✓all7?

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