Search

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

reset

170 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.158	3	10	111	108	✓	∅	-1	rational
3.10.159	3	10	116	36	✓	∅	-1	rational
3.10.351	3	10	112	1	✓	∅	-1	rational
3.10.360	3	10	114	1	✓	∅	-1	rational
3.10.363	3	10	113	1	✓	∅	-1	rational
3.10.508	3	10	112	1	✓	∅	-1	rational
3.10.631	3	10	111	12	✓	∅	-1	rational
3.10.919	3	10	110	1	✓	∅	-1	rational
3.10.979	3	10	111	2	✓	∅	-1	rational
3.10.980	3	10	110	1	✓	∅	-1	rational
3.10.981	3	10	110	1	✓	∅	-1	rational
3.10.982	3	10	110	2	✓	∅	-1	rational
3.10.983	3	10	109	1	✓	∅	-1	rational
3.10.987	3	10	109	6	✓	∅	-1	rational
3.10.1009	3	10	116	576	✓	∅	-1	rational
3.10.1010	3	10	115	144	✓	∅	-1	rational
3.10.1011	3	10	115	16	✓	∅	-1	rational
3.10.1017	3	10	113	8	✓	∅	-1	rational
3.10.1026	3	10	113	2	✓	∅	-1	rational
3.10.1027	3	10	113	2	✓	∅	-1	rational
3.10.1028	3	10	112	2	✓	∅	-1	rational
3.10.1029	3	10	112	1	✓	∅	-1	rational
3.10.1030	3	10	113	2	✓	∅	-1	rational
3.10.1031	3	10	112	4	✓	∅	-1	rational
3.10.1032	3	10	112	2	✓	∅	-1	rational
3.10.1098	3	10	112	2	✓	∅	-1	rational
3.10.1107	3	10	113	2	✓	∅	-1	rational
3.10.1219	3	10	111	1	✓	∅	-1	rational
3.10.1306	3	10	111	1	✓	∅	-1	rational
3.10.1314	3	10	111	2	✓	∅	-1	rational
3.10.1321	3	10	110	1	✓	∅	-1	rational
3.10.1358	3	10	111	1	✓	∅	-1	rational
3.10.1361	3	10	110	1	✓	∅	-1	rational
3.10.1363	3	10	111	1	✓	∅	-1	rational
3.10.1448	3	10	110	3	✓	∅	-1	rational
3.10.1459	3	10	112	8	✓	∅	-1	rational
3.10.1462	3	10	112	2	✓	∅	-1	rational
3.10.1561	3	10	111	2	✓	∅	-1	rational
3.10.1566	3	10	110	1	✓	∅	-1	rational
3.10.1569	3	10	110	1	✓	∅	-1	rational
3.10.1570	3	10	110	1	✓	∅	-1	rational
3.10.1571	3	10	109	1	✓	∅	-1	rational
3.10.1589	3	10	109	1	✓	∅	-1	rational
3.10.1592	3	10	108	1	✓	∅	-1	point over Q(a)/(a^2 - a + 1)
3.10.1593	3	10	108	1	✓	∅	-1	rational
3.10.1594	3	10	109	1	✓	∅	-1	rational
3.10.1603	3	10	110	12	✓	∅	-1	empty
3.10.1608	3	10	114	144	✓	∅	-1	rational
3.10.1633	3	10	111	2	✓	∅	-1	rational
3.10.1654	3	10	111	24	✓	∅	-1	rational