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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 ⇅
3.12.34472103122071✓all7?
3.12.34472873122061✓all7?
3.12.34476883122051✓all7?
3.12.34479713122061✓all7?
3.12.34482153122061✓all7?
3.12.34502263122071✓all7?
3.12.34502273122071✓all7?
3.12.34502373122061✓all7?
3.12.34502683122061✓all7?
3.12.34502833122061✓all7?
3.12.34502913122071✓all7?
3.12.34502983122051✓all7?
3.12.34503053122061✓all7?
3.12.34503103122051✓all7?
3.12.34503203122051✓all7?
3.12.34503703122071✓all7?
3.12.34505463122071✓all7?
3.12.34507733122071✓all7?
3.12.34510763122081✓all7?
3.12.34515083122041✓all7?
3.12.34519453122051✓all7?
3.12.34526053122071✓all7?
3.12.34535073122061✓all7?
3.12.34551263122071✓all7?
3.12.34551463122061✓all7?
3.12.34551713122061✓all7?
3.12.34551793122051✓all7?
3.12.34552023122061✓all7?
3.12.34552093122061✓all7?
3.12.34552373122061✓all7?
3.12.34552563122051✓all7?
3.12.34552723122051✓all7?
3.12.34552763122071✓all7?
3.12.34552823122051✓all7?
3.12.34552833122051✓all7?
3.12.34554603122051✓all7?
3.12.34556373122071✓all7?
3.12.34560843122041✓all7?
3.12.34566533122071✓all7?
3.12.34572903122061✓all7?
3.12.34578523122061✓all7?
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?

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