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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.

381,906 matroids, showing 22,201–22,250

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4416693122081✓all6?
3.12.4416963122081✓all6?
3.12.4417103122091✓all6?
3.12.4417143122091✓all6?
3.12.4418073122081✓all6?
3.12.4418373122071✓all6?
3.12.4418523122081✓all6?
3.12.4418563122071✓all6?
3.12.4418593122071✓all6?
3.12.4418733122081✓all6?
3.12.4418893122071✓all6?
3.12.4418953122091✓all6?
3.12.4419113122081✓all6?
3.12.4419323122081✓all6?
3.12.4419343122071✓all6?
3.12.4419403122071✓all6?
3.12.4419473122081✓all6?
3.12.4419523122071✓all6?
3.12.4419583122071✓all6?
3.12.4419603122081✓all6?
3.12.4419743122081✓all6?
3.12.4419813122081✓all6?
3.12.4419843122071✓all6?
3.12.4419983122081✓all6?
3.12.4420063122071✓all6?
3.12.4420143122081✓all6?
3.12.4420233122081✓all6?
3.12.4420353122081✓all6?
3.12.4420503122081✓all6?
3.12.4420603122081✓all6?
3.12.4420763122071✓all6?
3.12.4420873122071✓all6?
3.12.4420923122081✓all6?
3.12.4421153122071✓all6?
3.12.4421403122071✓all6?
3.12.4421543122091✓all6?
3.12.4421713122081✓all6?
3.12.4421873122081✓all6?
3.12.4422133122071✓all6?
3.12.4422143122081✓all6?
3.12.4422253122091✓all6?
3.12.4422513122071✓all6?
3.12.4422623122071✓all6?
3.12.4422683122081✓all6?
3.12.4423173122061✓all6?
3.12.4423433122081✓all6?
3.12.4423463122071✓all6?
3.12.4423503122071✓all6?
3.12.4423623122071✓all6?
3.12.4423643122071✓all6?

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