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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 19,201–19,250

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.3683693122071✓all6?
3.12.3683773122071✓all6?
3.12.3684013122091✓all6?
3.12.3684273122081✓all6?
3.12.3684293122081✓all6?
3.12.3684323122081✓all6?
3.12.3684433122071✓all6?
3.12.3684563122071✓all6?
3.12.3685053122091✓all6?
3.12.3685183122081✓all6?
3.12.3685653122091✓all6?
3.12.3686253122071✓all6?
3.12.3686793122071✓all6?
3.12.3687323122071✓all6?
3.12.3687363122071✓all6?
3.12.3687633122081✓all6?
3.12.3687643122071✓all6?
3.12.3687703122081✓all6?
3.12.3687963122081✓all6?
3.12.3688053122071✓all6?
3.12.3688143122081✓all6?
3.12.3688153122081✓all6?
3.12.3688273122081✓all6?
3.12.3688313122071✓all6?
3.12.3688463122081✓all6?
3.12.3688583122081✓all6?
3.12.3689173122071✓all6?
3.12.3689493122071✓all6?
3.12.3690213122072✓all6?
3.12.3690253122071✓all6?
3.12.3690353122081✓all6?
3.12.3690413122081✓all6?
3.12.3690463122081✓all6?
3.12.3690573122081✓all6?
3.12.3690603122081✓all6?
3.12.3691223122081✓all6?
3.12.3691773122081✓all6?
3.12.3691793122081✓all6?
3.12.3692633122081✓all6?
3.12.3692843122071✓all6?
3.12.3692873122071✓all6?
3.12.3693663122091✓all6?
3.12.3694243122081✓all6?
3.12.3695003122091✓all6?
3.12.3695353122081✓all6?
3.12.3695743122091✓all6?
3.12.3695763122091✓all6?
3.12.3695833122091✓all6?
3.12.3695953122081✓all6?
3.12.3695963122081✓all6?

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