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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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32,400,859 matroids, showing 2,951–3,000

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1044	3	10	112	2	✓	all	4	rational
3.10.1045	3	10	112	1	✓	all	6	rational
3.10.1046	3	10	112	1	✓	all	5	rational
3.10.1047	3	10	111	2	✓	all	5	rational
3.10.1048	3	10	111	2	✓	all	4	rational
3.10.1049	3	10	111	2	✓	all	5	rational
3.10.1050	3	10	111	1	✓	all	4	rational
3.10.1051	3	10	112	1	✓	all	5	rational
3.10.1052	3	10	111	1	✓	all	5	rational
3.10.1053	3	10	111	4	✓	all	4	rational
3.10.1054	3	10	112	1	✓	all	4	rational
3.10.1055	3	10	111	1	✓	all	5	rational
3.10.1056	3	10	111	4	✓	all	4	rational
3.10.1057	3	10	113	6	✓	all	4	rational
3.10.1058	3	10	112	1	✓	all	4	rational
3.10.1059	3	10	111	1	✓	all	4	rational
3.10.1060	3	10	110	3	✓	all	5	rational
3.10.1061	3	10	111	4	✓	all	4	rational
3.10.1062	3	10	112	2	✓	all	5	rational
3.10.1063	3	10	111	1	✓	all	4	rational
3.10.1064	3	10	110	4	✓	all	5	rational
3.10.1065	3	10	111	1	✓	all	4	rational
3.10.1066	3	10	110	1	✓	all	5	rational
3.10.1067	3	10	112	2	✓	all	4	rational
3.10.1068	3	10	111	1	✓	all	4	rational
3.10.1069	3	10	110	4	✓	all	4	rational
3.10.1070	3	10	111	4	✓	all	4	rational
3.10.1071	3	10	110	24	✓	all	3	empty
3.10.1072	3	10	113	12	✓	all	4	rational
3.10.1073	3	10	112	2	✓	all	3	rational
3.10.1074	3	10	111	2	✓	all	3	rational
3.10.1075	3	10	110	6	✓	all	3	rational
3.10.1076	3	10	111	12	✓	all	3	rational
3.10.1077	3	10	112	4	✓	all	4	rational
3.10.1078	3	10	111	2	✓	all	3	rational
3.10.1079	3	10	110	12	✓	all	3	rational
3.10.1080	3	10	111	12	✓	all	4	empty
3.10.1081	3	10	110	120	✓	all	4	rational
3.10.1082	3	10	115	48	✓	all	3	rational
3.10.1083	3	10	114	48	✓	all	3	rational
3.10.1084	3	10	114	16	✓	all	5	rational
3.10.1085	3	10	114	8	✓	all	4	rational
3.10.1086	3	10	113	4	✓	all	3	rational
3.10.1087	3	10	113	8	✓	all	2	rational
3.10.1088	3	10	112	8	✓	all	3	rational
3.10.1089	3	10	114	4	✓	all	4	rational
3.10.1090	3	10	113	2	✓	all	3	rational
3.10.1091	3	10	113	4	✓	all	2	rational
3.10.1092	3	10	112	4	✓	all	3	rational
3.10.1093	3	10	113	1	✓	all	2	rational