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

1,370,644 matroids, showing 17,201–17,250

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.247643	3	11	140	2	✗	all	5	rational
3.11.247691	3	11	139	2	✗	all	5	rational
3.11.247696	3	11	138	2	✗	all	5	rational
3.11.247701	3	11	141	4	✗	all	5	rational
3.11.247716	3	11	140	4	✗	all	5	rational
3.11.247726	3	11	138	4	✗	all	5	empty
3.11.247732	3	11	139	4	✗	all	5	empty
3.11.247738	3	11	137	4	✗	all	5	empty
3.11.247776	3	11	140	2	✗	all	5	rational
3.11.247781	3	11	139	4	✗	all	5	rational
3.11.247791	3	11	139	2	✗	all	5	rational
3.11.247792	3	11	139	2	✗	all	5	rational
3.11.247807	3	11	139	4	✗	all	5	rational
3.11.247816	3	11	139	2	✗	all	5	rational
3.11.247863	3	11	142	8	✗	all	5	rational
3.11.247868	3	11	141	8	✗	all	5	rational
3.11.247910	3	11	140	4	✗	all	5	rational
3.11.247920	3	11	138	2	✗	all	5	rational
3.11.247945	3	11	138	4	✗	all	5	rational
3.11.247977	3	11	137	2	✗	all	5	rational
3.11.247993	3	11	136	2	✗	all	5	rational
3.11.247999	3	11	136	2	✗	all	5	rational
3.11.248002	3	11	136	2	✗	all	5	rational
3.11.248012	3	11	138	4	✗	all	5	rational
3.11.248018	3	11	136	4	✗	all	5	empty
3.11.248052	3	11	142	24	✗	all	5	empty
3.11.248110	3	11	144	384	✗	all	5	rational
3.11.248205	3	11	139	16	✗	all	5	rational
3.11.248208	3	11	138	16	✗	all	5	rational
3.11.248213	3	11	140	8	✗	all	5	rational
3.11.248233	3	11	140	8	✗	all	5	rational
3.11.248238	3	11	139	16	✗	all	5	rational
3.11.248250	3	11	139	4	✗	all	5	rational
3.11.248264	3	11	140	24	✗	all	5	rational
3.11.248277	3	11	139	48	✗	all	5	rational
3.11.248282	3	11	139	4	✗	all	5	rational
3.11.248289	3	11	140	8	✗	all	5	rational
3.11.248296	3	11	138	8	✗	all	5	rational
3.11.248306	3	11	136	24	✗	all	5	rational over Q(a)/(a^2 - a + 1)
3.11.248327	3	11	141	32	✗	all	5	rational
3.11.248342	3	11	137	4	✗	all	5	rational
3.11.248354	3	11	138	24	✗	all	5	rational
3.11.248356	3	11	139	32	✗	all	5	rational
3.11.248363	3	11	137	4	✗	all	5	rational
3.11.248375	3	11	135	4	✗	all	5	rational
3.11.248376	3	11	135	4	✗	all	5	rational
3.11.248385	3	11	142	48	✗	all	5	rational
3.11.248417	3	11	138	16	✗	all	5	rational
3.11.248442	3	11	139	4	✗	all	5	rational
3.11.248498	3	11	139	4	✗	all	5	rational