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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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8,037,716 matroids, showing 501–550

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.907	3	10	109	1	✓	all	2	rational
3.10.908	3	10	109	1	✓	all	2	rational
3.10.912	3	10	111	2	✓	all	2	rational
3.10.914	3	10	111	1	✓	all	2	rational
3.10.921	3	10	110	1	✓	all	2	rational
3.10.923	3	10	110	1	✓	all	2	rational
3.10.924	3	10	113	12	✓	all	2	rational
3.10.927	3	10	112	4	✓	all	2	rational
3.10.928	3	10	112	2	✓	all	2	rational
3.10.929	3	10	111	2	✓	all	2	rational
3.10.931	3	10	111	1	✓	all	2	rational
3.10.942	3	10	110	1	✓	all	2	rational
3.10.943	3	10	110	1	✓	all	2	rational
3.10.944	3	10	111	2	✓	all	2	rational
3.10.950	3	10	110	1	✓	all	2	rational
3.10.951	3	10	110	1	✓	all	2	rational
3.10.953	3	10	111	2	✓	all	2	rational
3.10.954	3	10	110	1	✓	all	2	rational
3.10.955	3	10	110	1	✓	all	2	rational
3.10.957	3	10	109	1	✓	all	2	rational
3.10.958	3	10	109	1	✓	all	2	rational
3.10.959	3	10	110	1	✓	all	2	rational
3.10.960	3	10	109	1	✓	all	2	rational
3.10.962	3	10	109	1	✓	all	2	rational
3.10.963	3	10	109	2	✓	all	2	rational
3.10.964	3	10	108	2	✓	all	2	point over Q(a)/(a^2 + 1)
3.10.973	3	10	111	2	✓	all	2	rational
3.10.994	3	10	108	3	✓	all	2	point over Q(a)/(a^3 - a^2 + 1)
3.10.995	3	10	112	96	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.996	3	10	111	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.998	3	10	110	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.999	3	10	110	8	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1000	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1012	3	10	114	8	✓	all	2	rational
3.10.1014	3	10	114	8	✓	all	2	rational
3.10.1015	3	10	114	32	✓	all	2	rational
3.10.1023	3	10	112	4	✓	all	2	rational
3.10.1024	3	10	113	2	✓	all	2	rational
3.10.1033	3	10	112	4	✓	all	2	rational
3.10.1087	3	10	113	8	✓	all	2	rational
3.10.1091	3	10	113	4	✓	all	2	rational
3.10.1093	3	10	113	1	✓	all	2	rational
3.10.1096	3	10	112	2	✓	all	2	rational
3.10.1102	3	10	114	4	✓	all	2	rational
3.10.1106	3	10	113	2	✓	all but 2	2	rational
3.10.1204	3	10	111	1	✓	all	2	rational
3.10.1205	3	10	111	1	✓	all	2	rational
3.10.1207	3	10	111	1	✓	all	2	rational
3.10.1208	3	10	111	1	✓	all	2	rational
3.10.1210	3	10	112	1	✓	all	2	rational