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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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3,621,120 matroids, showing 601–650

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1422	3	10	109	1	✓	all	4	empty
3.10.1477	3	10	111	1	✓	all	4	rational
3.10.1478	3	10	110	1	✓	all	4	rational
3.10.1486	3	10	111	2	✓	all	4	rational
3.10.1495	3	10	110	1	✓	all	4	rational
3.10.1496	3	10	111	2	✓	all	4	rational
3.10.1497	3	10	110	2	✓	all	4	rational
3.10.1498	3	10	110	2	✓	all	4	rational
3.10.1499	3	10	110	1	✓	all	4	rational
3.10.1507	3	10	109	1	✓	all	4	rational
3.10.1553	3	10	109	2	✓	all	4	empty
3.10.1556	3	10	109	12	✓	all	4	empty
3.10.1602	3	10	108	2	✓	all	4	empty
3.10.1610	3	10	113	12	✓	all	4	rational
3.10.1664	3	10	109	2	✓	all but 2	4	rational
3.10.1667	3	10	109	1	✓	all but 2	4	rational
3.10.1669	3	10	110	2	✓	all but 2	4	rational
3.10.1676	3	10	112	1008	✓	all but 2	4	empty
3.10.1677	3	10	112	48	✓	all but 2	4	empty
3.10.1678	3	10	111	8	✓	all but 2	4	empty
3.10.1679	3	10	110	6	✓	all but 2	4	empty
3.10.1680	3	10	110	24	✓	all but 2	4	empty
3.10.1684	3	10	110	96	✗	all	4	rational
3.10.1686	3	10	109	16	✗	all	4	rational
3.10.1696	3	10	108	12	✗	all	4	rational
3.10.1699	3	10	106	4	✗	all	4	rational
3.10.1711	3	10	105	16	✗	all	4	rational
3.10.1716	3	10	114	1728	✓	all but 2	4	rational
3.10.1734	3	10	113	8	✓	all but 2	4	rational
3.10.1783	3	10	112	1	✓	all	4	rational
3.10.1787	3	10	112	8	✓	all	4	rational
3.10.1789	3	10	112	2	✓	all	4	rational
3.10.1795	3	10	112	2	✓	all	4	rational
3.10.1796	3	10	112	8	✓	all	4	rational
3.10.1798	3	10	112	8	✓	all but 2	4	rational
3.10.1835	3	10	108	16	✓	all	4	rational
3.10.1836	3	10	113	4	✓	all	4	rational
3.10.1856	3	10	110	1	✓	all	4	rational
3.10.1857	3	10	110	1	✓	all but 2	4	rational
3.10.1858	3	10	110	1	✓	all but 2	4	rational
3.10.1901	3	10	110	1	✓	all	4	rational
3.10.1903	3	10	110	1	✓	all	4	rational
3.10.1904	3	10	110	4	✓	all	4	rational
3.10.1912	3	10	110	1	✓	all	4	rational
3.10.1913	3	10	109	2	✓	all	4	rational
3.10.1915	3	10	110	1	✓	all	4	rational
3.10.1916	3	10	109	1	✓	all	4	rational
3.10.1917	3	10	110	1	✓	all	4	rational
3.10.1919	3	10	109	2	✓	all	4	rational
3.10.1920	3	10	109	6	✓	all	4	empty