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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 19,151–19,200

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19561513122051✓all7?
3.12.19562153122071✓all7?
3.12.19563833122051✓all7?
3.12.19569003122051✓all7?
3.12.19572853122051✓all7?
3.12.19578863122081✓all7?
3.12.19584243122061✓all7?
3.12.19589263122061✓all7?
3.12.19589303122081✓all7?
3.12.19589373122071✓all7?
3.12.19589593122061✓all7?
3.12.19589653122051✓all7?
3.12.19589723122051✓all7?
3.12.19589793122061✓all7?
3.12.19589953122071✓all7?
3.12.19590143122051✓all7?
3.12.19591653122061✓all7?
3.12.19592723122051✓all7?
3.12.19593653122051✓all7?
3.12.19595453122061✓all7?
3.12.19596283122061✓all7?
3.12.19597233122051✓all7?
3.12.19599073122061✓all7?
3.12.19605833122051✓all7?
3.12.19612083122061✓all7?
3.12.19617843122051✓all7?
3.12.19625453122051✓all7?
3.12.19628863122071✓all7?
3.12.19636543122051✓all7?
3.12.19648903122061✓all7?
3.12.19649133122061✓all7?
3.12.19649193122051✓all7?
3.12.19649253122051✓all7?
3.12.19649973122051✓all7?
3.12.19650083122051✓all7?
3.12.19650283122051✓all7?
3.12.19650363122061✓all7?
3.12.19650673122061✓all7?
3.12.19650693122061✓all7?
3.12.19650833122051✓all7?
3.12.19651013122061✓all7?
3.12.19651373122051✓all7?
3.12.19651403122071✓all7?
3.12.19651793122041✓all7?
3.12.19651823122041✓all7?
3.12.19652083122041✓all7?
3.12.19653353122061✓all7?
3.12.19653383122061✓all7?
3.12.19653753122061✓all7?
3.12.19653893122071✓all7?

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