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

32,400,859 matroids, showing 3,951–4,000

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.2044	3	10	111	2	✓	all	5	rational
3.10.2045	3	10	110	4	✓	all	5	rational
3.10.2046	3	10	111	2	✓	all	5	rational
3.10.2047	3	10	110	2	✓	all	4	rational
3.10.2048	3	10	111	1	✓	all	4	rational
3.10.2049	3	10	110	1	✓	all	4	rational
3.10.2050	3	10	110	1	✓	all	4	rational
3.10.2051	3	10	110	2	✓	all	5	rational
3.10.2052	3	10	111	4	✓	all	4	rational
3.10.2053	3	10	110	2	✓	all	4	rational
3.10.2054	3	10	110	2	✓	all	4	rational
3.10.2055	3	10	110	24	✓	all	5	rational
3.10.2056	3	10	111	4	✓	all	5	rational
3.10.2057	3	10	110	4	✓	all	4	rational
3.10.2058	3	10	110	2	✓	all	4	rational
3.10.2059	3	10	110	1	✓	all	4	rational
3.10.2060	3	10	109	1	✓	all	4	rational
3.10.2061	3	10	109	2	✓	all	3	rational
3.10.2062	3	10	111	4	✓	all but 2	3	rational
3.10.2063	3	10	110	2	✓	all	3	rational
3.10.2064	3	10	109	4	✓	all	6	rational
3.10.2065	3	10	110	1	✓	all	5	rational
3.10.2066	3	10	109	1	✓	all	5	rational
3.10.2067	3	10	109	2	✓	all	5	rational
3.10.2068	3	10	110	2	✓	all	5	rational
3.10.2069	3	10	109	2	✓	all	5	rational
3.10.2070	3	10	109	1	✓	all	5	rational
3.10.2071	3	10	109	12	✓	all	5	rational
3.10.2072	3	10	110	4	✓	all	4	rational
3.10.2073	3	10	109	1	✓	all	4	rational
3.10.2074	3	10	108	2	✓	all	4	rational
3.10.2075	3	10	109	4	✓	all	4	rational
3.10.2076	3	10	108	2	✓	all	5	rational
3.10.2077	3	10	108	24	✓	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.2078	3	10	111	2	✓	all	4	rational
3.10.2079	3	10	110	1	✓	all	4	rational
3.10.2080	3	10	109	2	✓	all	4	rational
3.10.2081	3	10	110	1	✓	all	5	rational
3.10.2082	3	10	109	1	✓	all	4	rational
3.10.2083	3	10	110	2	✓	all	4	rational
3.10.2084	3	10	109	1	✓	all	4	rational
3.10.2085	3	10	112	8	✓	all	5	rational
3.10.2086	3	10	111	2	✓	all	4	rational
3.10.2087	3	10	111	8	✓	all	4	rational
3.10.2088	3	10	111	8	✓	all	4	rational
3.10.2089	3	10	111	4	✓	all	5	rational
3.10.2090	3	10	111	2	✓	all	4	rational
3.10.2091	3	10	110	1	✓	all	4	rational
3.10.2092	3	10	110	2	✓	all	4	rational
3.10.2093	3	10	110	2	✓	all	3	rational