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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 22,451–22,500

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.34774913122061✓all7?
3.12.34775033122061✓all7?
3.12.34775503122051✓all7?
3.12.34776563122051✓all7?
3.12.34777763122051✓all7?
3.12.34778183122061✓all7?
3.12.34778993122061✓all7?
3.12.34781003122061✓all7?
3.12.34781063122051✓all7?
3.12.34781083122061✓all7?
3.12.34781113122061✓all7?
3.12.34781673122051✓all7?
3.12.34781693122051✓all7?
3.12.34781803122051✓all7?
3.12.34781883122061✓all7?
3.12.34781953122051✓all7?
3.12.34782023122051✓all7?
3.12.34782113122051✓all7?
3.12.34783913122051✓all7?
3.12.34786553122051✓all7?
3.12.34790243122051✓all7?
3.12.34797343122051✓all7?
3.12.34797663122051✓all7?
3.12.34804383122061✓all7?
3.12.34812233122051✓all7?
3.12.34823383122061✓all7?
3.12.34860683122041✓all7?
3.12.34900473122071✓all7?
3.12.34951333122051✓all7?
3.12.34951413122041✓all7?
3.12.34951493122051✓all7?
3.12.34951503122051✓all7?
3.12.34951583122051✓all7?
3.12.34951593122051✓all7?
3.12.34951633122041✓all7?
3.12.34951683122041✓all7?
3.12.34952003122041✓all7?
3.12.34952243122041✓all7?
3.12.34952563122092✓all7?
3.12.34953613122061✓all7?
3.12.34955213122051✓all7?
3.12.34958623122071✓all7?
3.12.34962553122071✓all7?
3.12.34968273122071✓all7?
3.12.34973893122061✓all7?
3.12.34981433122051✓all7?
3.12.35015383122051✓all7?
3.12.35033453122051✓all7?
3.12.35036533122061✓all7?
3.12.35083503122051✓all7?

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