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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 22,501–22,550

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.35140653122071✓all7?
3.12.35141363122061✓all7?
3.12.35186693122061✓all7?
3.12.35210493122071✓all7?
3.12.35265033122061✓all7?
3.12.35265163122051✓all7?
3.12.35265233122061✓all7?
3.12.35265743122051✓all7?
3.12.35265843122051✓all7?
3.12.35265943122061✓all7?
3.12.35266063122061✓all7?
3.12.35266083122051✓all7?
3.12.35266133122051✓all7?
3.12.35266223122071✓all7?
3.12.35266233122071✓all7?
3.12.35267273122081✓all7?
3.12.35268433122071✓all7?
3.12.35270653122061✓all7?
3.12.35276813122061✓all7?
3.12.35282753122071✓all7?
3.12.35288063122061✓all7?
3.12.35295693122071✓all7?
3.12.35334483122091✓all7?
3.12.35336853122071✓all7?
3.12.35336883122081✓all7?
3.12.35336983122081✓all7?
3.12.35336993122081✓all7?
3.12.35337153122071✓all7?
3.12.35337163122081✓all7?
3.12.35337333122061✓all7?
3.12.35337513122061✓all7?
3.12.35337623122061✓all7?
3.12.35339493122061✓all7?
3.12.35345883122071✓all7?
3.12.35347503122061✓all7?
3.12.35351663122061✓all7?
3.12.35351763122061✓all7?
3.12.35352123122081✓all7?
3.12.35352313122071✓all7?
3.12.35352933122071✓all7?
3.12.35352953122061✓all7?
3.12.35353193122061✓all7?
3.12.35353313122071✓all7?
3.12.35353563122061✓all7?
3.12.35356733122061✓all7?
3.12.35359573122071✓all7?
3.12.35362743122051✓all7?
3.12.35363513122071✓all7?
3.12.35365103122051✓all7?
3.12.35370443122051✓all7?

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