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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.

8,076,768 matroids, showing 20,201–20,250

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.908333111501✓all2rational
3.11.908343111501✓all2rational
3.11.908353111521✓all2rational
3.11.908363111511✓all2rational
3.11.908383111511✓all2rational
3.11.908393111511✓all2rational
3.11.908403111511✓all2rational
3.11.908413111501✓all2rational
3.11.908533111511✓all2rational
3.11.908543111511✓all2rational
3.11.908553111511✓all2rational
3.11.908563111501✓all2rational
3.11.908583111501✓all2genus 1 curve (19a3)
3.11.908593111511✓all2rational
3.11.908603111501✓all2rational
3.11.908683111501✓all2rational
3.11.908693111501✓all2rational
3.11.908703111491✓all2point over Q(a)/(a^3 - a^2 + 1)
3.11.908723111521✓all2rational
3.11.908733111511✓all2rational
3.11.908743111511✓all2rational
3.11.908753111511✓all2rational
3.11.908823111501✓all2genus 1 curve (15a8)
3.11.908913111531✓all2rational
3.11.908923111521✓all2rational
3.11.908933111521✓all2rational
3.11.908943111521✓all2rational
3.11.908963111521✓all2rational
3.11.908973111521✓all2rational
3.11.908983111511✓all2rational
3.11.908993111511✓all2rational
3.11.909023111501✓all2rational
3.11.909033111521✓all2rational
3.11.909043111511✓all2rational
3.11.909083111511✓all2rational
3.11.909103111511✓all2rational
3.11.909113111511✓all2rational
3.11.909123111521✓all2rational
3.11.909223111521✓all2rational
3.11.909233111511✓all2rational
3.11.909243111511✓all2rational
3.11.909303111511✓all2rational
3.11.909323111501✓all2rational
3.11.909333111521✓all2rational
3.11.909503111511✓all2rational
3.11.909513111511✓all2rational
3.11.909523111501✓all2rational
3.11.909533111501✓all2genus 1 curve (11a3)
3.11.909553111491✓all2rational
3.11.909563111511✓all2rational

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