Matroid database

Search

…or describe it by its bases, non-bases or lines
Matroid

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.

Size
Invariants
Realizability
Properties

reset

8,076,768 matroids, showing 20,101–20,150

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.904903111511✓all2rational
3.11.904923111501✓all2rational
3.11.904963111501✓all2rational over Q(a)/(a^2 + 1)
3.11.905013111511✓all2rational
3.11.905073111501✓all2rational over Q(a)/(a^3 - a^2 + 1)
3.11.905503111511✓all2rational
3.11.905513111511✓all2rational
3.11.905523111511✓all2rational
3.11.905543111511✓all2rational
3.11.905553111511✓all2rational
3.11.905563111511✓all2rational
3.11.905573111511✓all2rational
3.11.905693111511✓all2rational
3.11.905703111501✓all2genus 1 curve (15a8)
3.11.905713111501✓all2genus 1 curve (11a3)
3.11.905733111501✓all2rational
3.11.905743111501✓all2rational
3.11.905753111521✓all2rational
3.11.905763111511✓all2rational
3.11.905853111491✓all2rational
3.11.905863111491✓all2rational
3.11.905873111491✓all2rational
3.11.905883111481✓all2rational
3.11.905903111511✓all2rational
3.11.905913111511✓all2rational
3.11.905923111501✓all2rational
3.11.905933111511✓all2rational
3.11.905993111502✓all2empty
3.11.906043111491✓all2empty
3.11.906063111522✓all2empty
3.11.906083111512✓all2empty
3.11.906173111511✓all2empty
3.11.906183111512✓all2empty
3.11.906193111504✓all2empty
3.11.906203111492✓all2empty
3.11.906223111511✓all2empty
3.11.906233111502✓all2empty
3.11.906243111524✓all2rational
3.11.906253111512✓all2rational
3.11.906273111494✓all2rational
3.11.906283111541✓all2rational
3.11.906293111531✓all2rational
3.11.906303111531✓all2rational
3.11.906313111531✓all2rational
3.11.906333111531✓all2rational
3.11.906343111531✓all2rational
3.11.906353111531✓all2rational
3.11.906363111531✓all2rational
3.11.906373111521✓all2rational
3.11.906413111521✓all2rational

« first ‹ prev next ›