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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 18,701–18,750

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19088063122051✓all7?
3.12.19088613122061✓all7?
3.12.19088703122061✓all7?
3.12.19090273122061✓all7?
3.12.19091743122041✓all7?
3.12.19094683122041✓all7?
3.12.19099113122041✓all7?
3.12.19104163122071✓all7?
3.12.19114103122061✓all7?
3.12.19114593122051✓all7?
3.12.19115003122051✓all7?
3.12.19115153122061✓all7?
3.12.19115233122051✓all7?
3.12.19115463122051✓all7?
3.12.19115523122051✓all7?
3.12.19115653122041✓all7?
3.12.19115973122061✓all7?
3.12.19116003122051✓all7?
3.12.19116023122051✓all7?
3.12.19117913122051✓all7?
3.12.19120203122041✓all7?
3.12.19123263122041✓all7?
3.12.19128003122061✓all7?
3.12.19135043122051✓all7?
3.12.19142083122071✓all7?
3.12.19152593122051✓all7?
3.12.19154073122081✓all7?
3.12.19180473122041✓all7?
3.12.19199653122061✓all7?
3.12.19228873122051✓all7?
3.12.19245043122031✓all7?
3.12.19245123122041✓all7?
3.12.19245193122071✓all7?
3.12.19245313122071✓all7?
3.12.19245503122061✓all7?
3.12.19245813122061✓all7?
3.12.19245893122051✓all7?
3.12.19246613122051✓all7?
3.12.19249643122051✓all7?
3.12.19252453122051✓all7?
3.12.19255083122051✓all7?
3.12.19257953122041✓all7?
3.12.19266053122051✓all7?
3.12.19274563122041✓all7?
3.12.19275123122041✓all7?
3.12.19275173122051✓all7?
3.12.19319883122071✓all7?
3.12.19345893122071✓all7?
3.12.19346403122082✓all7?
3.12.19347133122061✓all7?

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