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Size rank n

Invariants Bases Automorphisms Dimension of realization space Girth Expected dimension over ℤ

Realizability realizable in char 0 realizable in characteristic char set class birational type

Properties Simple Connected Paving Uniform Regular Binary Ternary Quaternary Graphic Transversal Series parallel Self dual Orientable Supersolvable Three lines Free realization space Realization space: smooth over ℤ Realization space: is regular scheme

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381,879 matroids, showing 5,251–5,300

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.236082	3	11	143	2	✗	all	6	rational
3.11.236105	3	11	142	2	✗	all	6	rational
3.11.236742	3	11	145	4	✗	all	6	rational
3.11.237003	3	11	141	2	✗	all	6	rational
3.11.237376	3	11	143	2	✗	all	6	rational
3.11.237403	3	11	143	2	✗	all	6	rational
3.11.237426	3	11	142	4	✗	all	6	rational
3.11.237428	3	11	143	2	✗	all	6	rational
3.11.237434	3	11	142	2	✗	all	6	rational
3.11.237656	3	11	142	2	✗	all	6	rational
3.11.237669	3	11	142	2	✗	all	6	rational
3.11.237918	3	11	140	2	✗	all	6	rational
3.11.237942	3	11	139	2	✗	all	6	empty
3.11.237982	3	11	141	2	✗	all	6	rational
3.11.238141	3	11	142	2	✗	all	6	rational
3.11.238144	3	11	142	2	✗	all	6	rational
3.11.238185	3	11	141	2	✗	all	6	empty
3.11.238188	3	11	142	2	✗	all	6	rational
3.11.238226	3	11	139	4	✗	all	6	rational
3.11.238229	3	11	139	2	✗	all	6	rational
3.11.238295	3	11	140	4	✗	all	6	rational over Q(a)/(a^2 + 1)
3.11.238334	3	11	136	16	✗	all	6	point over Q(a)/(a^2 + 1)
3.11.238349	3	11	144	2	✗	all	6	rational
3.11.238361	3	11	142	2	✗	all	6	rational
3.11.238367	3	11	144	2	✗	all	6	rational
3.11.238376	3	11	142	2	✗	all	6	rational
3.11.238381	3	11	141	2	✗	all	6	rational
3.11.238413	3	11	143	2	✗	all	6	rational
3.11.238455	3	11	142	2	✗	all	6	rational
3.11.238458	3	11	141	2	✗	all	6	rational
3.11.238468	3	11	141	2	✗	all	6	rational
3.11.238490	3	11	142	2	✗	all	6	rational
3.11.238496	3	11	140	2	✗	all	6	rational
3.11.238502	3	11	142	2	✗	all	6	rational
3.11.238520	3	11	141	2	✗	all	6	rational
3.11.238540	3	11	140	2	✗	all	6	rational
3.11.238562	3	11	139	2	✗	all	6	point over Q(a)/(a^2 + 1)
3.11.238570	3	11	142	2	✗	all	6	rational
3.11.238605	3	11	141	2	✗	all	6	rational
3.11.238621	3	11	140	2	✗	all	6	rational
3.11.238633	3	11	140	2	✗	all	6	empty
3.11.238635	3	11	139	2	✗	all	6	rational
3.11.238687	3	11	142	4	✗	all	6	rational
3.11.238710	3	11	139	2	✗	all	6	point over Q(a)/(a^2 - a + 2)
3.11.238761	3	11	142	4	✗	all	6	rational
3.11.238783	3	11	143	4	✗	all	6	rational
3.11.238821	3	11	142	4	✗	all	6	rational over Q(a)/(a^2 - a + 1)
3.11.238917	3	11	138	2	✗	all	6	rational over Q(a)/(a^2 - a + 1)
3.11.238919	3	11	141	4	✗	all	6	rational
3.11.238926	3	11	140	4	✗	all	6	rational