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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 5,451–5,500

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.245777	3	11	140	2	✗	all	6	rational
3.11.245847	3	11	140	2	✗	all	6	rational
3.11.245861	3	11	141	2	✗	all	6	rational
3.11.245888	3	11	141	2	✗	all	6	rational
3.11.245944	3	11	139	2	✗	all	6	rational
3.11.245977	3	11	141	4	✗	all	6	rational
3.11.246016	3	11	143	2	✗	all	6	rational
3.11.246112	3	11	139	2	✗	all	6	rational
3.11.246446	3	11	139	2	✗	all	6	rational
3.11.246570	3	11	140	2	✗	all	6	rational
3.11.246612	3	11	139	2	✗	all	6	rational
3.11.246981	3	11	140	2	✗	all	6	rational
3.11.246984	3	11	140	2	✗	all	6	rational
3.11.247029	3	11	138	2	✗	all	6	rational
3.11.247053	3	11	139	2	✗	all	6	rational
3.11.247107	3	11	142	2	✗	all	6	rational
3.11.247299	3	11	138	2	✗	all	6	rational
3.11.247320	3	11	139	2	✗	all	6	rational
3.11.247486	3	11	143	2	✗	all	6	rational
3.11.247682	3	11	139	2	✗	all	6	empty
3.11.247753	3	11	138	2	✗	all	6	rational
3.11.247754	3	11	138	4	✗	all	6	rational
3.11.247797	3	11	138	2	✗	all	6	rational
3.11.247867	3	11	142	4	✗	all	6	rational
3.11.247954	3	11	137	2	✗	all	6	rational
3.11.248173	3	11	140	8	✗	all	6	rational
3.11.248207	3	11	137	8	✗	all	6	rational
3.11.248210	3	11	137	4	✗	all	6	rational
3.11.248256	3	11	138	8	✗	all	6	rational
3.11.248285	3	11	138	4	✗	all	6	rational
3.11.248313	3	11	137	4	✗	all	6	rational
3.11.248542	3	11	137	4	✗	all	6	rational
3.11.248618	3	11	137	4	✗	all	6	rational
3.11.248663	3	11	138	4	✗	all	6	rational
3.11.248884	3	11	137	4	✗	all	6	rational
3.11.248944	3	11	138	4	✗	all	6	rational
3.11.248945	3	11	138	4	✗	all	6	rational
3.11.248968	3	11	137	4	✗	all	6	rational
3.11.248979	3	11	137	4	✗	all	6	rational
3.11.248982	3	11	137	4	✗	all	6	rational
3.11.249102	3	11	134	4	✗	all	6	rational
3.11.249331	3	11	133	16	✗	all	6	empty
3.11.249426	3	11	134	4	✗	all but 2	6	rational
3.11.249449	3	11	133	4	✗	all	6	rational
3.11.249566	3	11	137	16	✗	all	6	rational
3.11.249568	3	11	136	8	✗	all	6	rational
3.11.249595	3	11	134	4	✗	all	6	rational
3.11.249606	3	11	135	8	✗	all	6	rational
3.11.249624	3	11	137	64	✗	all	6	rational
3.11.249686	3	11	128	64	✗	all	6	rational