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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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1,370,644 matroids, showing 16,951–17,000

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.242641	3	11	140	2	✗	all	5	rational
3.11.242645	3	11	142	2	✗	all	5	rational
3.11.242654	3	11	142	2	✗	all	5	rational
3.11.242659	3	11	140	2	✗	all	5	rational
3.11.242676	3	11	139	2	✗	all	5	rational
3.11.242680	3	11	141	2	✗	all	5	rational
3.11.242695	3	11	140	4	✗	all	5	rational
3.11.242698	3	11	139	2	✗	all	5	rational
3.11.242699	3	11	142	4	✗	all	5	rational
3.11.242704	3	11	141	2	✗	all	5	rational
3.11.242764	3	11	142	2	✗	all	5	rational
3.11.242782	3	11	141	2	✗	all	5	rational
3.11.242863	3	11	139	2	✗	all	5	rational
3.11.242866	3	11	141	2	✗	all	5	rational
3.11.242896	3	11	144	12	✗	all	5	rational
3.11.242903	3	11	143	24	✗	all	5	rational
3.11.242916	3	11	145	4	✗	all	5	rational
3.11.242950	3	11	143	2	✗	all	5	rational
3.11.243004	3	11	143	2	✗	all	5	rational
3.11.243026	3	11	144	4	✗	all	5	rational
3.11.243067	3	11	143	8	✗	all	5	rational
3.11.243075	3	11	141	4	✗	all	5	rational
3.11.243078	3	11	142	4	✗	all	5	rational
3.11.243089	3	11	147	16	✗	all	5	rational
3.11.243096	3	11	145	4	✗	all	5	rational
3.11.243103	3	11	145	8	✗	all	5	rational
3.11.243111	3	11	146	16	✗	all	5	rational
3.11.243113	3	11	145	32	✗	all	5	rational
3.11.243116	3	11	145	2	✗	all	5	rational
3.11.243118	3	11	144	4	✗	all	5	rational
3.11.243180	3	11	142	4	✗	all	5	rational
3.11.243202	3	11	142	2	✗	all	5	rational
3.11.243219	3	11	140	4	✗	all	5	rational
3.11.243260	3	11	144	4	✗	all	5	empty
3.11.243313	3	11	143	4	✗	all	5	rational
3.11.243357	3	11	143	2	✗	all	5	rational
3.11.243386	3	11	143	2	✗	all	5	rational
3.11.243487	3	11	141	4	✗	all	5	empty
3.11.243493	3	11	142	2	✗	all	5	rational
3.11.243516	3	11	139	2	✗	all	5	rational
3.11.243522	3	11	144	8	✗	all	5	rational
3.11.243528	3	11	143	2	✗	all	5	rational
3.11.243581	3	11	141	4	✗	all	5	rational
3.11.243589	3	11	143	2	✗	all	5	rational
3.11.243596	3	11	142	2	✗	all	5	rational
3.11.243644	3	11	142	2	✗	all	5	rational
3.11.243700	3	11	140	2	✗	all	5	rational
3.11.243717	3	11	139	2	✗	all	5	rational
3.11.243736	3	11	140	2	✗	all	5	rational
3.11.243738	3	11	141	2	✗	all	5	rational