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 21,101–21,150

label ▲rank ⇅n ⇅#bases ⇅#automorphisms ⇅simple ⇅char set ⇅rs dim ⇅birational type ⇅
3.11.933173111521✓all2rational
3.11.933183111521✓all2rational
3.11.933193111501✓all2rational
3.11.933233111511✓all2rational
3.11.933273111511✓all2rational
3.11.933303111521✓all but 22rational
3.11.933323111511✓all but 22empty
3.11.933343111511✓all but 22rational
3.11.933363111521✓all but 22rational
3.11.933833111501✓all2rational
3.11.933843111501✓all2empty
3.11.933853111502✓all2empty
3.11.933873111491✓all2rational
3.11.933883111521✓all2rational
3.11.933893111511✓all2rational
3.11.933903111511✓all2rational
3.11.933983111501✓all but 22rational
3.11.933993111501✓all but 22rational
3.11.934003111491✓all but 22point over Q(a)/(a^2 - a + 1)
3.11.934023111501✓all2empty
3.11.934033111501✓all2rational
3.11.934043111501✓all2rational
3.11.934063111521✓all2rational
3.11.934073111511✓all2rational
3.11.934083111511✓all2rational
3.11.934093111511✓all2rational
3.11.934173111532✓all but 22rational
3.11.934183111522✓all but 22rational
3.11.934193111521✓all but 22rational
3.11.934213111521✓all2rational
3.11.934223111511✓all2rational
3.11.934233111521✓all2rational
3.11.934253111511✓all2rational
3.11.934273111511✓all2rational
3.11.934283111511✓all2rational
3.11.934353111511✓all2rational
3.11.934433111501✓all2rational
3.11.934443111511✓all2rational
3.11.934453111501✓all2rational
3.11.934473111521✓all2rational
3.11.934483111511✓all2rational
3.11.934493111511✓all2rational
3.11.934513111511✓all2rational
3.11.934523111511✓all2rational
3.11.934533111501✓all2rational
3.11.934543111501✓all but 22rational over Q(a)/(a^2 - a + 1)
3.11.934573111521✓all2rational
3.11.934583111521✓all2rational
3.11.934593111521✓all2rational
3.11.934603111521✓all but 22rational

« first ‹ prev next ›