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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 21,751–21,800

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.4315503122071✓all6?
3.12.4316443122071✓all6?
3.12.4316743122081✓all6?
3.12.4316753122081✓all6?
3.12.4316763122081✓all6?
3.12.4316953122081✓all6?
3.12.4317583122071✓all6?
3.12.4317923122071✓all6?
3.12.4318253122071✓all6?
3.12.4319093122071✓all6?
3.12.4319503122071✓all6?
3.12.4319693122071✓all6?
3.12.4319723122061✓all6?
3.12.4320063122071✓all6?
3.12.4320243122071✓all6?
3.12.4320403122071✓all6?
3.12.4320483122061✓all6?
3.12.4320553122061✓all6?
3.12.4320743122091✓all6?
3.12.4320783122091✓all6?
3.12.4320893122091✓all6?
3.12.4322123122081✓all6?
3.12.4322333122081✓all6?
3.12.4322563122081✓all6?
3.12.4322623122071✓all6?
3.12.4322903122071✓all6?
3.12.4323143122091✓all6?
3.12.4323283122091✓all6?
3.12.4323383122081✓all6?
3.12.4323763122071✓all6?
3.12.4324063122071✓all6?
3.12.4324073122091✓all6?
3.12.4324103122081✓all6?
3.12.4324273122071✓all6?
3.12.4324493122081✓all6?
3.12.4324523122081✓all6?
3.12.4325083122091✓all6?
3.12.4326383122081✓all6?
3.12.4326493122081✓all6?
3.12.4326833122081✓all6?
3.12.4327233122081✓all6?
3.12.4327373122071✓all6?
3.12.4327433122071✓all6?
3.12.4327643122081✓all6?
3.12.4327653122081✓all6?
3.12.4328173122091✓all6?
3.12.4328343122081✓all6?
3.12.4328643122071✓all6?
3.12.4329683122071✓all6?
3.12.4330063122061✓all6?

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