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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 18,851–18,900

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.12.19398203122071✓all7?
3.12.19398383122071✓all7?
3.12.19398583122061✓all7?
3.12.19398743122051✓all7?
3.12.19398953122051✓all7?
3.12.19399063122051✓all7?
3.12.19399243122051✓all7?
3.12.19399773122071✓all7?
3.12.19399923122061✓all7?
3.12.19400573122051✓all7?
3.12.19400723122051✓all7?
3.12.19400823122051✓all7?
3.12.19400933122071✓all7?
3.12.19401123122061✓all7?
3.12.19401253122051✓all7?
3.12.19401293122051✓all7?
3.12.19401333122061✓all7?
3.12.19401773122041✓all7?
3.12.19401843122051✓all7?
3.12.19402123122061✓all7?
3.12.19402143122071✓all7?
3.12.19402383122052✓all7?
3.12.19402393122051✓all7?
3.12.19402423122041✓all7?
3.12.19402433122071✓all7?
3.12.19402463122061✓all7?
3.12.19402473122061✓all7?
3.12.19402593122061✓all7?
3.12.19402793122041✓all7?
3.12.19402833122041✓all7?
3.12.19402933122051✓all7?
3.12.19403303122071✓all7?
3.12.19403443122071✓all7?
3.12.19406883122052✓all7?
3.12.19408003122051✓all7?
3.12.19408213122051✓all7?
3.12.19408543122051✓all7?
3.12.19408563122051✓all7?
3.12.19408613122051✓all7?
3.12.19409253122042✓all7?
3.12.19409473122051✓all7?
3.12.19409713122061✓all7?
3.12.19409763122051✓all7?
3.12.19409903122051✓all7?
3.12.19410023122042✓all7?
3.12.19410083122051✓all7?
3.12.19410113122052✓all7?
3.12.19410123122041✓all7?
3.12.19410263122052✓all7?
3.12.19410403122102✓all7?

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